diff --git "a/data/dm_maths/full_data_2/10799_11255.jsonl" "b/data/dm_maths/full_data_2/10799_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10799_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -42*i = 5*x - 46*i - 2311, 5*i + 20 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101541, -101528, -101515, -101502, -101489?\nAnswer: -101476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3761 is divided by 36 + (-8)\/8 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {j: 1, h: 1, z: 1, c: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*b = -10, 4*g + 5 - 17 = -4*b. Let i be ((-12)\/14)\/(g\/(-21)). Suppose -q = q - i. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = -7. Suppose 0 = t + 3*t - u*b - 19, -2*t - 4*b = 18. What is the remainder when (2 - t) + 22\/1 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 17505347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 16. Let p be r(12). Suppose 3*j + 11 = -4*x + 54, 0 = 2*j + p*x - 26. Let n(w) = -3*w + 22. Calculate the remainder when j is divided by n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 2. Let a be m(-2). Suppose -3*b - 3*n - 2*n = 13, a = -3*b + n - 19. Let l be 62\/36 + 9\/b. What is the second biggest value in 2\/21, -0.5, l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 151815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413981 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and 47.72.\nAnswer: 47.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 9. Let j be y(11). Let n(g) = -7*g. Let q(d) = -3*d. Let p(h) = j*n(h) - 5*q(h). Let l = -4 - 1. Give p(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - x**2 - 1 + 2*x**2 - 5*x**2 + 4*x**2 + (3*x**2 - 8*x**2 + 3*x**2)*(-8 + 2 + 2).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - z**2 - z - 1. Let w(i) = -5*i**3 + 18*i**2 + 21*i + 9. Let m(g) = 6*c(g) + w(g). Is m(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v - 5. Suppose -v*w + 1225 + 460 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.853929634 rounded to 3 dps?\nAnswer: -0.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6 + 6 + 17*k - 12*k + 5*k. Let j(u) be the second derivative of -2*u**3\/3 - 6*u. What is j(g(z))?\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -106, 0 in descending order.\nAnswer: 5, 0, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, 0, 1\/11, -9.88?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 12. Let r(s) = -23 - 23 - 2*s + 11 + s + 10. Give 5*f(o) + 3*r(o).\nAnswer: 2*o - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**7)\/m*m)\/(m*m*m*m\/((m\/(m\/(m*m**(4\/25))))\/m)*m)*(m\/(m\/((m*m\/(m**(-34)*m)*m)\/m*m)))**(-4\/7) assuming m is positive.\nAnswer: m**(-3047\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 125*k**2 - 1376*k**2 + 828*k**2. Let h(g) = 10*g**2. What is h(o(s))?\nAnswer: 1789290*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13068 is divided by 4348.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -20575032 to the nearest 10000.\nAnswer: -20580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9197 is divided by 9081.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/9 - 2*h**2\/3 + 4*h\/9 = 0. Calculate h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - p + 24, 0 = -4*l + 2*p + 20 + 20. Suppose -84 = -l*h - 7. What is the remainder when 34 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m + 5*d - 18, -34 = -3*m - 5*d. What is the least common multiple of 112 and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 20060 and 20061 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 8. Let u = -14 - n. What is the smallest value in -2\/23, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -5*o + 259 - 267, -4*m + 36 = -5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5205432*o**2*x - 1929*o**2 + 3*o*x - 14289*o - x with respect to x.\nAnswer: -5205432*o**2 + 3*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/15 (b) 51\/7 (c) -0.3 (d) 4\/39 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5374 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 33*a - 174. Calculate w(37).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(7) + (sqrt(7) + sqrt(1008) + (sqrt(1008) - (sqrt(1008)*-1 + sqrt(1008))) + sqrt(1008) - sqrt(7))) + -1.\nAnswer: -1 + sqrt(7)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 39*r + 18*r + 22*r)*((7 - 4*r - 7)*(-2*r - r + r) + (0*r - 3*r + r)*(0*r - r + 2*r)).\nAnswer: 6*r**3 + 234*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 244 + 249 - 493 + 4*i**2. Let k(c) = -7*c - 5. Let q(l) = -3*l - 2. Let h(x) = -2*k(x) + 5*q(x). What is g(h(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 2152.\nAnswer: 7\/2152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -1288?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z**2 + 17*z - 4. Let h(c) = 14*c**2 - 17*c + 3. What is 4*h(s) + 3*t(s)?\nAnswer: 11*s**2 - 17*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.337 + 0.043. What is f rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000 (base 2) in base 6?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-54))\/((-32)\/(-144)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 1. Let s(t) = 6*t + 6. Let c(i) = -5*j(i) - s(i). What is c(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 18, 3, -0.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 = 0, -5*n + 2673 = -7*t + 3*t. List the prime factors of n\/5 - (-2)\/(-5).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3, 1 in increasing order.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 385\/(-70)*-14*(-16)\/56?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.07 (c) 79 (d) 4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 29*s**2 + 32*s - 50. Let v be q(30). Solve -v*i + 7*i - t = -15, 4*t = i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203020799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0*r + 1\/30*r**5 + 0*r**4 - r**2 + 0 + 0*r**3. Let l(v) = -5*v. Determine i(l(f)).\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 232878?\nAnswer: 465756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (1 - (4 + -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-2)))\/g)**44*(g**(-2\/5))**(-8\/5) assuming g is positive.\nAnswer: g**(1116\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-416) + (-24948)\/4224?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 386*s - 114782. Determine a(296).\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 9*j**2 - 13*j - 12. Let u be a(-10). What is the tens digit of u\/(-12)*820\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**3\/3 + 4*d**2 - 10*d + 6. Calculate l(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(3 - 3 + 2)*(-2*o**3 + 7*o**3 - 3*o**3)*(-o**2 + 11*o**2 - 2*o**2).\nAnswer: 64*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2657 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 333851489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:16 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 4*z + z. Calculate the highest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 479*m**2 - 251. Let g(f) = -1438*f**2 + 751. Let o(d) = -3*g(d) - 8*z(d). Find the first derivative of o(x) wrt x.\nAnswer: 964*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280 + -186. Calculate the remainder when i is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 52. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 1203963\nAnswer: -8\/1203963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 480 + -459. Is (7 + (-140)\/u)*5079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 715 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -22. Suppose -u*y - 2*s - 2*s + 11 = 0, 4*s = -2*y + 6. Suppose -y*x - 10 = -15. Sort -5, x, -4 in ascending order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -8. Let y(t) = 12*t**3 + 4*t**2 - 4*t - 3. Let q(l) = -l**3 - l**2 + l + 1. Let s(i) = -4*q(i) - y(i). Calculate s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1\/14)\/1 - 476\/(-196))*-2. Sort n, 17, 155 in ascending order.\nAnswer: n, 17, 155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1503, -3004, -4505, -6006, -7507, -9008?\n\"Answer: -1501*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwsswswwww. Give prob of picking 4 w.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 18*r**2 + 34*r + 114. What is the remainder when 1033 is divided by x(-3)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -65, -119, -191, -287, -413?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 - 6398*c**2\/3 + 318700*c\/3 + 35648 = 0. Calculate c.\nAnswer: -1114, -1\/3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007413 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y. Let n(z) = -z**2 - 7*z - 5. Let b be n(-5). Suppose 23 = -b*p + 6*p. Let k(h) = 23 - p - h. Give k(c(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 30.9. Suppose -3*h - 6 = -6. Sort 1\/3, c, h in ascending order.\nAnswer: c, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -358008.2.\nAnswer: -358009.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 266\/57*(-6)\/(-4). Let v(a) = 9*a - 30. Let f be v(5). Find the first derivative of -15 - 9 - f - y*i**2 wrt i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, -42, -116, -230, -390, -602?\n\"Answer: -a**3 - 11*a**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -586, -1233, -1964, -2785, -3702?\n\"Answer: -f**3 - 36*f**2 - 532*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 47*k - 190. Let i be v(4). Let r(p) = 9*p**2 - 3 - 4*p**2 - 4*p + 0*p. List the prime factors of r(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 2:13 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -57. Let o = -29 - v. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 407 in increasing order.\nAnswer: -3, -1, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*h - 64 = 80*h. What is the remainder when 350 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/5, 0, 2, -4 in descending order.\nAnswer: 2, 0.4, 0, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-9)*-6*12\/(-8). Let w(k) be the third derivative of -k**5\/20 + 2*k**2. Let p(v) = 2*v**2. Determine j*p(q) + 4*w(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (52 - 13)) + 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/15*(-3402)\/(-3969).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -51403\/38 greater than -1354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 2, z: 7, b: 2, y: 7}. What is prob of picking 1 z and 2 y?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:56 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-10)*(1 + -1). Suppose g = 3*g - 154. Suppose v - g - 186 = m. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-8))\/6*2\/4. Factor -1\/5*m**2 - 1\/5*m**3 + q*m + 0.\nAnswer: -m**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124840 is divided by 118.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 39 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 360 = 46*a - 7*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 181, 386, 673, 1042, 1493, 2026?\nAnswer: 2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66705 * -9.46.\nAnswer: -631029.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7728 = -1056*i + 8747 - 1691 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*k**2 - 6\/7*k - 9\/7.\nAnswer: 3*(k - 3)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(2) - 3*sqrt(32)))\/(sqrt(66)\/(sqrt(66)\/(sqrt(6) + sqrt(6)*1))).\nAnswer: -sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 4*k - 103*k**2 + 125*k**2.\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:06 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/3)\/(-114 - 75813\/(-666)) - 91.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2309*y - 1419*y - 1561*y. Let t(k) = 2*k. Give t(d(o)).\nAnswer: -1342*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 18*n = 266, 6*w + 3*n = -0*w + 21 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1520595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*t - 134 - 213, -3*v + 12 = 0. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5131 is divided by 731?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/18 + 1906*x**3\/9 - 680680*x**2\/3 - 4089800*x\/9 - 2685. Factor z(t).\nAnswer: -2*(t - 1430)**2*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 44. Does 12 divide (128\/h)\/(18\/54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/69 + -311\/483. What is the nearest to 1\/2 in s, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6254593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/9 - 818*n**3\/9 - 12330*n**2 - 4917478*n\/9 + 10285412\/9.\nAnswer: -2*(n - 2)*(n + 137)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*t + 30411 + 87010 = -1760*t - 1766 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61.17349774 - 61.173. Round w to 5 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/18)\/(((-10)\/(-18))\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {m: 2, r: 1, j: 1, g: 1, x: 1, p: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) + -2 + 78\/(-8). Let s(b) = 2*b**2 + 9*b + 13. Let u be s(o). Suppose y - 2*y = 2*a - 114, -2*y + 3*a = -u. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 751*o**2 - 391*o + 5996. Determine p(375).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**4 + 6*k**2 + 6*k + 35. Let i(m) = -m**3 - m**2 - m + 1. Let q(x) = 6*i(x) + r(x). What is the derivative of q(l) wrt l?\nAnswer: 24*l**3 - 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*s = -168*s - 360. What is the least common multiple of 1*4 - (-2 - -2) and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122988 is divided by 4081?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 2, l: 1, p: 3, g: 8, f: 1, b: 5}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/(-81) - 154\/63?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r. Let l(p) = -p. Let z be l(r). Is 58\/4*(4 + z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = -4, -4*a + 3*c = -3. Let i(h) be the first derivative of a*h**2 - h**3 - 2 + 0*h + 3\/4*h**4. Find the third derivative of i(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 1 + 3)*-1. Let j be (-2802)\/1592 + 2 + g. Let w = 2\/199 + j. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/192 and 37\/216.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n - 89. Let s be (-384)\/(-48)*((-39)\/6)\/(4\/(-1)). Calculate b(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-2\/9)\/p)**(39\/2))**(-2\/101))**(-19))**9 assuming p is positive.\nAnswer: p**(-8151\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 2:29 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 3:13 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 4:50 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddudud. Give prob of picking 1 d and 1 u.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**5\/20 - l**3\/3 + 55*l**2\/2 - 6*l. Is 11 a factor of g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1937 + 2728. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309832356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17*y**3 + 7*y**2 + 55*y + 19. Let k(t) = 15*t**3 + 5*t**2 + 56*t + 14. What is -4*k(v) + 3*w(v)?\nAnswer: -9*v**3 + v**2 - 59*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38375, -38531, -38961, -39803, -41195, -43275, -46181, -50051?\nAnswer: -55023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221 + -336. Let v = 461 + w. Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6642113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7410650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*a - 0. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1599679 + 2.16. Round z to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**2\/2 + 1. Let z(a) = -8*a - 1. Let x(u) = 33*u + 4. Let k(r) = 4*x(r) + 18*z(r). Give -10*h(s) - k(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7952*w**2 + w**3 + 3 - 4 - 5756*w**2 - 2*w**3.\nAnswer: -w**3 + 2196*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -10 (b) -5\/199 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1202*468766.\nAnswer: -563456732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 5*q**2 + 20424*q + 142845. Determine m(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2392.9200891 to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) + (-20)\/(-8). What is the greatest common factor of 3 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -13491.\nAnswer: -8\/13491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26042876?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.866597177676 + 4.\nAnswer: 3.133402822324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-14))\/(22363\/28462)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 12*n - 13. Let p be q(13). Suppose p*s - 5*h = 2*s - 15, -4*s + 22 = 2*h. Suppose s*b = 69 + 16. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.07 - 0.07. Let d = t + -8.8. Let n be -11*5\/15 + 4\/6. Put n, d, -0.5 in decreasing order.\nAnswer: d, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/4)\/(15*(-19)\/(-228)). Solve y*c - 6*c = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60583*j - 60580*j = -2*p + 17, 1 = p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105453613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 - v**4 + v**4)*(-11811*v + 5901*v + 724 + 5908*v).\nAnswer: 6*v**5 - 2172*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -3*y**4\/20 + 4*y**3 - 30*y**2 - 53. Factor l(h).\nAnswer: -3*h*(h - 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*a = 85*a + 1980 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0045073 and -1901?\nAnswer: -8.5683773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*t**5 - 8*t**4 - t**2 + 372*t - 5?\nAnswer: -1200*t**3 - 96*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.042*-9.9\nAnswer: -0.4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 5*l + 84 = 0. Suppose 2*q - 21 = l. Let t = q + -5. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*c = 26, 4*a - c = 7 + 6. Solve 0*p = -2*w + p + 1, -3*w - 4 = a*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 165254, 330460, 495612, 660710, 825754, 990744, 1155680?\n\"Answer: -27*l**2 + 165287*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.7 + -18.3. Let m = i - -27.99999072. What is m rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82871, 82863, 82855, 82847?\nAnswer: 82839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let t(g) = -4*g**2 - 3*g + 8. Let k(c) = 3*c**2 + 3*c - 7. Let u(v) = 6*k(v) + 5*t(v). Determine 2*a(z) - u(z).\nAnswer: 2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1985)\/160*(-56)\/(-18). Let z = -416\/9 - q. What is the common denominator of z and -67\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.23869, -0.39.\nAnswer: -0.39, 0.23869, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1934*b**3 + 4*b**2 + 2393*b - 2 wrt b?\nAnswer: 11604*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1252455.878 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14847 (base 13) to base 9.\nAnswer: 58146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -1312217?\nAnswer: 1312222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, v: 5, b: 3, l: 3}. What is prob of sequence kklb?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 11:52 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3419.705 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39032*s + 39031*s = 7*f - 5*f - 14, -3*f - 4*s = -41 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = 35. What is the greatest common factor of m and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28377832.6 - 0.4.\nAnswer: -28377833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574, -1149, -1724, -2299, -2874, -3449?\nAnswer: -4024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. Solve -w*o + o - 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -3. Let f(y) = 4*y**3 - 2*y**2 + y. Let n be f(p). Suppose 5*v = 3*q + 169, n*q - 17 - 6 = -v. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55430 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*f - 2708 = -4*v, 47*v - 3*f - 33 = 90*v - 46*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 50*11\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 89 = 28. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/51 + 50\/30. Which is the second biggest value? (a) -1.73 (b) 1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1501 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -1208, -5 in ascending order.\nAnswer: -1208, -5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1205 and 512366?\nAnswer: 2561830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 3*z**2\/2 + 4. Let f(c) = 6*c. Let a(m) = -3*m. Let r(i) = 13*a(i) + 6*f(i). Calculate b(r(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from {u: 3, f: 5, z: 1, i: 3, j: 6, k: 2}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + f - 4)*(-25*f**2 + 187*f**2 + 169*f**2).\nAnswer: 331*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 + 5*f - 5. Let j be (-2 + -2)*(-17)\/4. Let h = -21749 - -21752. Let y(r) = -j*r**2 - h*r + 39*r**2 + 3 - 24*r**2. Determine 3*q(k) + 5*y(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5253453571?\nAnswer: 337, 743, 20981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r + 172. Let p be q(18). Solve p*n = 48 - 28 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 38136*k**3 + 685737*k**2 + 3313344*k + 2665740 = 0. What is k?\nAnswer: -12694, -10, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412215 + -283?\nAnswer: 1411932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 1:23 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5981 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 25331145 + 4*c - 25331145. Let o(v) = -1075*v**2. Give o(s(k)).\nAnswer: -17200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 - 21*i**3 + 9*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2267079 and 8107.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q - 5. Let j be r(-6). Let n = j + 35. Solve 4*v + n*v = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 181 = -3*x - 181 + 356, -8 = x - 3*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 721684253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91898215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*l**3 - 3*l - 282*l**3 + 3*l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18172022?\nAnswer: 2, 11, 61, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20607 is divided by 976?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 900 and (-117)\/72*-44 + -3 + (-7)\/(-2).\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 4) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(11152\/(-561) - (-85)\/(-187))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 45502073 (base 8) to base 5\nAnswer: 10011124001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -72, -115, -192, -321, -520?\n\"Answer: -3*o**3 + o**2 - 25*o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1. Let v(t) = t - 4. Let d(b) = -12*j(b) - 3*v(b). Let f(r) = 4*r**2 + 3. Let a(l) = -5*l**2 - 2. Let s(q) = -3*a(q) - 2*f(q). Give s(d(k)).\nAnswer: 63*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 2*i + i + (0*i + 3*i - 4*i)*(-3 + 3 - 2) + (-10 - 10 - 2)*(2 + 1 - 4)*(-5*i + 4*i + 2*i).\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4905 = 4*n + 1559, -2168 = -w - 2*n. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -60*x + 984. What is the lowest common multiple of 186 and b(14)?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(2016)*-2 - sqrt(2016))*-1)\/(sqrt(8)\/sqrt(16) - (2*sqrt(2) + sqrt(2))*-1))**2.\nAnswer: 576*sqrt(7)\/7 + 5296\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 486487.89 rounded to the nearest one hundred?\nAnswer: 486500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56343 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173326 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6075 - -874?\nAnswer: -5301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let t be -24*(-1)\/(3 - 1). What is the highest common factor of t and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61263950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0105 and -0.0859.\nAnswer: -0.0754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - 5*h + 5. Let j(l) = -2*l**2 - 3*l + 3. Let v(b) = -10*j(b) + 6*y(b). Let n(f) = -9*f. Determine v(n(o)).\nAnswer: 162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-10)*(-3 - (-1253461 + 20)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199647043?\nAnswer: 73, 2734891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1730200 is divided by 82390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 39697.9.\nAnswer: 39695.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6 + u**2 + 9 - 7*u + 1. Calculate the least common multiple of r(7) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 19 = -37. Let s(l) = -4*l**2 - 3*l + 11. Let v(r) = -2*r**2 - r + 5. Calculate h*s(d) + 7*v(d).\nAnswer: -2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 + 3*x**2 - 8*x**2)*(-9*x**2 - 2 - 6*x**2 + 5*x**2) to the form z*x**3 + d*x**2 + p*x**4 + u + n*x and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 336 - 326 - (0 + -1 - (5 + -7))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 125656785.\nAnswer: 4\/125656785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 8 = -4*k, 0 = 5*r - 20*k + 18*k + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d - 169 = -5*l, -144 = -4*l - 2*d. Let x = 54 - l. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxww when four letters picked without replacement from {x: 13, g: 3, w: 2}?\nAnswer: 13\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/3 + 9\/2. Which is the closest to 1\/5? (a) -3 (b) 1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b + 27. Let s be g(-9). Suppose y + 238 = -4*k, 4*k + 236 = -s*k - 2*y. Let j = 63 + k. Calculate the highest common divisor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 2*o + 3. Let n be a(-1). Let k(j) = -15*j**2 - 3*j + 5. Let q be k(n). Let d = 61 + q. Solve 2*c - 1 - 5 = d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 5*p - 4, -2*o = 3*p - 0*p - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -1\/2*l**2 - 45 + 0*l. Let s(a) = -2*a. What is -7*i(h) + 2*s(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 339631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20417.01749 rounded to zero decimal places?\nAnswer: -20417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeereree. Give prob of sequence ere.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + -6)*(-3)\/(-6). Suppose -32 = p*f - 6*f. What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -13.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 2:49 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10560\/(-100))\/(4\/(-10)). What is the highest common divisor of 16 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 17*s**2 - 16*s + 24. What are the prime factors of i(16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p*x**2 - 2*p + 121*x**3 - 2 wrt x.\nAnswer: -4*p*x + 363*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 2:57 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -2) + 0 + 3. Suppose u*y - 245 = -10. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 60116*y - 1623138. Determine v(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m + 32. Let p(j) = -j**3 + 8*j**2 + 13*j - 26. Let z be p(9). Let c be k(z). List the prime factors of 286\/2 + (c - (0 + 3)).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 1, -11 = -2*r - 14*j + 13*j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - 4*d**4 - 11*d**4 + (18 - 65 - 29)*(-d**3 + 2*d**4 + d**3) in the form i*d**3 + g + u*d**4 + h*d**2 + w*d and give u.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10805586 and 3333.\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 6*z**3 - 3*z**3)*(1690 + 1753 - 3885).\nAnswer: -884*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5578805 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 980997, 980992, 980987?\n\"Answer: -5*q + 981002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.2 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14900624819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 1, y: 1, h: 1, w: 1, r: 2}. Give prob of sequence ryrh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6120.446 decades to months.\nAnswer: 734453.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 4*s + 1. Let q be d(-3). Let u be (-2 - (-152)\/6)*-3. Let f = -49 - u. Solve 5*n - q = f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18599 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0629887 and -172745.\nAnswer: -172744.9370113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - n = 6, -b + n = 5*n + 6. Suppose -b*o + 8 = 2*o. Factor -t**5 - 2*t**5 - t**4 + 4*t**5 + t + o*t**4 + 1 - 2*t**2 - 2*t**3.\nAnswer: (t - 1)**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/11 (c) -10 (d) 1.88 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88594 is divided by 6200.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -952369 + 952124.00127. Let u = -245 - j. Round u to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -3\/11509808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/12 + m**3\/2 - 4*m**2 + 16. Let q(z) be the second derivative of f(z). Determine q(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - (-7)\/((-7)\/(-72150)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*o - 1814*o - 231696 = 2321*o for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (63\/126)\/((-1)\/(-1186642)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22341 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 299432 - 26949151\/90. Let b = 39\/10 + a. Determine g so that -16\/9*g**2 + 4\/9*g**3 - 4\/3*g + b*g**5 - 2\/9 + 2*g**4 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4509\/5 + 901. Which is the biggest value? (a) v (b) 0.2 (c) 2\/1183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35*(1\/(-9))\/(166\/1494)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1088) + sqrt(1088))*5 + -1 + -2*sqrt(17) + 2.\nAnswer: 1 + 118*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*f - 121 + 41 + 41 + 37 - f**2 as z*f + h + q*f**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 238944, 477817, 716690?\n\"Answer: 238873*j + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3209 = 4*s + 2223, -2*l + 5*s + 711 = 0. Solve 8*p + l = 362 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8\/18497 = 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeenneeeeeneeneenee. What is prob of sequence nn?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -215 - -278. What is the remainder when 565 is divided by u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p - 48. Give j(21).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let s be 2 - 6\/(x + 1). Suppose -5*h + s*c + 61 = -2*c, 17 = h - 2*c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4 + 148368*v**3 = 0 for v.\nAnswer: 0, 148368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216*j - 12 = 1219*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 38. What is the biggest value in p, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00077 rounded to five dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01568 + -4.01568. What is the third smallest value in 1, -7, b, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0823796 to 3 dps.\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Suppose 4*d + 3*a + 2*a - 4 = 0, o*d + 5*a = -2. Suppose 3*t - d = -r + 9, -r - 2*t + 16 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {p: 1, v: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f - 13. Let k be o(8). Suppose -k = -4*l - l. Differentiate 9 - 12 + 4*w**3 + l + 7 with respect to w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 l, and 1 a when four letters picked without replacement from {a: 2, l: 4, o: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12006, 12004, 12002, 12000, 11998, 11996?\nAnswer: 11994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -259, -924, -2259, -4498?\n\"Answer: -39*i**3 + 16*i**2 - 4*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Let m be ((-1)\/b)\/((-2)\/8). Solve -2*n - 6 = -m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 11. Let b be p(-5). Suppose -x = 5*l + 5, 5*l - b*x + 13 = -17. Are l and -6\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1617 and 623?\nAnswer: 143913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14893019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.6 + -10.4. Let r = q - -58. Let k be (-2)\/(-4)*4\/10. Which is the nearest to -0.14? (a) k (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-1))\/((-8)\/(-8)). Suppose -4*o + 0 - 12 = l. Let d be (o - -5) + (3 - 1). Which is the closest to -1? (a) 3 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/522968 and -61\/261484.\nAnswer: 522968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26\/3 in 1, 0, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165 - -156. Let n be (-4 + 0)*(64\/k + 7). Let 0 - n*f + 2\/9*f**2 = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w\/w**(-3\/2))**(2\/11) assuming w is positive.\nAnswer: w**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 15. Suppose 3 + 5 = 4*w. Suppose 4*q = -3*g + 37, -w*q + 2*g + 7 + 15 = 0. Calculate the greatest common divisor of q and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {o: 2, s: 2, u: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p + 10. Let q(z) = 12*z - 7*z - 44 + 22 + 13. Give 4*q(n) + 3*s(n).\nAnswer: 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2184*b**5*s + 492*b**2*s + 3*s wrt b?\nAnswer: -131040*b**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 2 - (-3 - -2). Is -3 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 30 - 14 = 0. Suppose 5*f + 4 = 3*a + 78, -3*f = -2*a - u. Let i = -3306 - -3310. Calculate the highest common divisor of i and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11543, 11548, 11553?\nAnswer: 11558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:21 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -55110?\nAnswer: 55114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1660)\/(-2490))\/(1\/10*-2)*(-1)\/(-35)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 5. Let k be u(-3). Which is smaller: -1\/29 or k?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -761, -1507, -2241, -2957, -3649?\n\"Answer: h**3 - 753*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41672835.47 - -507.\nAnswer: 41673342.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*t**4\/9 + 21479*t**3 + 140690*t**2 - 664193*t\/9 - 2870\/3 = 0 for t.\nAnswer: -7, -1\/79, 1\/2, 1230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:49 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -104\/393 <= -1\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603 - -5?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -19, 3\/8, 0.05 in descending order.\nAnswer: 0.5, 3\/8, 0.05, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456989.9631 take away 43?\nAnswer: 2456946.9631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 6, v: 1, z: 3}. Give prob of picking 2 z, 1 h, and 1 t.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 10110000?\nAnswer: -10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - 1) + -5 + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1400642 centuries to months.\nAnswer: 168.07704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 1816.\nAnswer: 19976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 430?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*m + 9 = -u, 4*m = -5*u + 31 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 >= -493426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 11, c: 2, l: 1}. Give prob of picking 2 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 782*d**4 - 44*d + 336321 wrt d?\nAnswer: 3128*d**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30343254 + -2410?\nAnswer: 30340444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7303967*y**3 + 2872118 wrt y.\nAnswer: -21911901*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -16. Suppose -9*h = -p*h - 153. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 25829230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13007 + 20046. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5935 is divided by 3687?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-6)\/sqrt(6))**2*-1.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-128))\/(45\/(-590)). Let h = v - -29\/24. Sort 2, h, 5, 7 in descending order.\nAnswer: 7, 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -3, -15 in increasing order.\nAnswer: -15, -4, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-2\/5)))\/((t**(-3\/5)*t*t)\/t))\/(((t*t*t*t**(-11))\/t)\/t**(-1)) assuming t is positive.\nAnswer: t**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by -3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.36 (b) 0 (c) 4\/7 (d) -2\/781\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*n + 4*n - 12*n)*(-1 + 1 - 1)*(33 - 300*n - 51 + 19) to the form x + b*n**2 + u*n and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 - 3*t + 2. Let y be 6\/2 - 1*-2. Let r be d(y). Let i = -5 - -35. Calculate the highest common divisor of r and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -679 - 3?\nAnswer: -67c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -43*s**2. Let h(u) = -2*u**2 + 5*u. Let z(d) = -d**2 + 2*d. Let b(r) = -2*h(r) + 5*z(r). Give b(v(w)).\nAnswer: -1849*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*w**2 + 20 + 40*w**2 - 108)*(-199*w + 398*w - 10 - 201*w).\nAnswer: 4*w**3 + 20*w**2 + 176*w + 880","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209874873 and 3354.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 4*o - 1. Let c = 2 + -2. Suppose 3*l = c, -4*x + 4*l + 15 = -1. Suppose t = x + 1. Determine u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(2924\/(-344))\/((-34)\/14)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 1854.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**4 + 1 - b - 4*b**3 + b**4 - 54*b**2 + 79*b**2 in the form k*b**2 + s + r*b**3 + m*b + v*b**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186 - -187.78. Round t to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83469 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -182818?\nAnswer: 182816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 16\/(-10) - 6\/15. Let s(j) = 6*j + 31. Let w be s(y). Calculate the greatest common factor of 217 and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 18*i**2 - 34*i - 35. Let j be s(-16). Which is the second biggest value? (a) j (b) 2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (14 + (13 - 18) + 2 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3850327 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5777 divided by 53\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -165\/16 in 4, -0.76, 2?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 1366 - 1426 = 0. Solve 4*v = 2*a + 10 + 4, -4*a - n*v = -37 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 14*i - 12. Let s(o) = o - 1. Let y be (-1)\/(74\/24 + -3). What is y*s(c) + v(c)?\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-29 + 29)\/(-1 + 5). Suppose -3*g = -4*z - 62, h = -4*g - 5*z + 105 - 43. Calculate the highest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 8 (c) -2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.7 + 5.9. Let t = 108.3 - 98.3. Which is the second smallest value? (a) h (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 7) in base 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 2*u - 6*u. Suppose 5*b - 9 = 4*a, 4*a + 0*a - u = -5*b. Let i be (a - 2 - 2)\/(-2 + 4). Solve -v - 2*v - 3 = i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 16*k. Let f(g) = -2*g**2 - 32*g. Calculate 3*f(d) - 5*y(d).\nAnswer: -d**2 - 16*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1765482?\nAnswer: 2, 3, 294247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/31 in -4, 1\/40, -2\/1421, 9?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxx when three letters picked without replacement from wwxwxxxxwwwx?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 7256*t - 21764. What is d(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 + 1.51. Let t = -0.62 - p. Which is the nearest to t? (a) 0.3 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 4*r**2 + 4*r + 7. Let y be f(5). Suppose -y*d + 3*d = 0. What is the tens digit of (3 - d)\/(3\/22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Let o be ((-7)\/42)\/((-9)\/(-36)). Put 2\/3, j, o in increasing order.\nAnswer: o, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -75. Find the common denominator of (t - -3) + (-273)\/119 and 15\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.011 (b) -7 (c) -0.17 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1834.9442 rounded to the nearest integer?\nAnswer: -1835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4374 and 5803101.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-252)\/35 + (-2)\/(-10). Is -10 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281 is divided by 215.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99)*1)\/sqrt(9) - sqrt(66)\/sqrt(54))*3)**2 + ((sqrt(88) + sqrt(88)*-2)*1)\/(sqrt(72)\/(sqrt(36)\/sqrt(4))) + -2.\nAnswer: -sqrt(11) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92\/81 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s - 36. Let w be (s\/(-36))\/(1\/6). Which is the smallest value? (a) -1 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - 74) + 23 + 121 + (-1 - 16).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*w - 7*q - 19, -q - 59 = -5*w. Suppose -v + 2*x + w = -x, 4*x + 15 = v. Factor -v*s - 10*s**2 + 0*s + 4*s**2.\nAnswer: -3*s*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 53442?\nAnswer: 53446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)*x\/((((x*x**7)\/x)\/x)\/x)*x)\/(x\/(x**(-3)*x))**(-2\/103))**14 assuming x is positive.\nAnswer: x**(-14336\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*g + 566, -2*t - 581 = 5*g - 4*t. What is the tens digit of -1 - ((-48)\/(-15))\/4*g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(3)*1 + sqrt(120)*3)\/(((-2*sqrt(216) - sqrt(216)) + sqrt(6))*6)*-1.\nAnswer: 7*sqrt(5)\/102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 + 1 + 5*j**2 - 4*j**3 - 5*j**2 to the form w*j + h*j**3 + r + o*j**4 + u*j**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2239 + -102?\nAnswer: -2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -3, 42, 4 in decreasing order.\nAnswer: 42, 7, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.1 + 0.1. Let h = -24 - -23.78. Let l = 0.02 + h. What is the smallest value in l, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 58287?\nAnswer: -58282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 1 b when three letters picked without replacement from gjbih.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8184154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2091*d**3 - 913*d**3 - 1181*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3253*g + 19523 + 13007 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239*2.485.\nAnswer: 593.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 3. Determine r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1107*j**6 + 48*j**2 - j wrt j?\nAnswer: 132840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*l*o*v**2 - l*o + 16*l*v**2 + 42*l + 69*o*v**2 - 2*o + 2 wrt v.\nAnswer: -12*l*o*v + 32*l*v + 138*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*a + 261. Sort a, 0, 1, -5 in descending order.\nAnswer: a, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 + 23*l**2 - 23*l - 134. Let s be w(-12). Put 1, 4, s, 2, -158 in increasing order.\nAnswer: -158, s, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14720 = 870*z + 6160 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/831877 or 1?\nAnswer: -18\/831877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1 - 14)*-1. Suppose 20 = z*k - 10*k. Put 1, k, 7, 0 in descending order.\nAnswer: 7, k, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**(-3)*v))\/v)\/(v**(5\/2)*v) assuming v is positive.\nAnswer: v**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/25021251 and -43\/22374?\nAnswer: 550467522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 2128?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 0.31.\nAnswer: -0.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -66. Suppose 3*z - f - 243 = 4*f, 4*f = -n*z + 162. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -16586?\nAnswer: -16586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19827.567 minutes in hours?\nAnswer: 330.45945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007149 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767*q + 8468 = 4689 - 28435 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64784, 63113, 61442, 59771?\nAnswer: 58100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 840.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.9 + -25. Let s = o - -3. Let k be ((-140)\/(-350))\/(-1 - (-13)\/5). Sort -0.3, k, s in increasing order.\nAnswer: -0.3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5358201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbyg when four letters picked without replacement from {y: 2, g: 1, b: 1, s: 1, t: 1, a: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*t = 0, 2*d + 5*t = 5*d. Sort -1, d, -0.1, 1\/11 in descending order.\nAnswer: 1\/11, d, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -866672824 - -2779?\nAnswer: -866670045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 6*f - 2*f. Suppose -2*d + f = 3*d. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44.6, -8, -20, -4\/3, -2 in increasing order.\nAnswer: -44.6, -20, -8, -2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, -200, -1, -6 in descending order.\nAnswer: -1, -4, -6, -14, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 6*w**2 + 3*w + 3. Suppose 3*f = -2*y - 7, 0 = -4*y - 6 + 10. Let s be a(f). Let q be s\/(-2) + ((-26)\/5)\/2. Is q at most as big as -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51799010 rounded to the nearest 1000000?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3144445.5 and -2.\nAnswer: 3144443.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Let z(y) be the second derivative of y**4\/12 + 30*y. Let l(u) = 49*u**2 + 6*u + 6. Let v(m) = -m - 1. Let a(q) = -l(q) - 6*v(q). Give z(a(d)).\nAnswer: 2401*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**3 - 86*i**2 - 16*i - 12. Let a be l(-7). Calculate the highest common factor of 94 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -43. Suppose 0 = -3*q - 2*q - 125. Let c = w + q. Calculate the smallest common multiple of 11 and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 6. Let h be k(9). Let w(s) be the second derivative of -1\/6*s**h + 0 + 2*s + 0*s**2. Give w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72793 + -1.\nAnswer: 72792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 5*f + 5*f - f. Let x be 2 - 0 - (-36 - 6)\/(-6). Let k be j(x). What is the greatest common factor of 75 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170582905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 26.\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - o - 30. Let h be p(-5). Suppose -4*a + f - 5*f + 60 = h, 85 = 4*a - f. Calculate the least common multiple of 14 and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 837544914?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -15 - (-258)\/(-3 + -3))\/(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 7*b**6\/30 + b**5\/10 - 7*b**4\/4 - 10*b**3\/3 - 2*b**2 - 6*b. Factor f(u).\nAnswer: (u - 2)*(u + 1)**2*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i + 39*i - 3811 + 679 = 0 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3\/7 + 532984*m**2\/7 + 17721939840*m\/7 - 2170016857728\/7 = 0.\nAnswer: -66684, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*d + 5*c, -d - 9 = 2*c - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2170 and 289030?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.04 - 0.04. Let z be (2\/45)\/((-2)\/6). What is the closest to 1\/2 in 1, z, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -162, -171, -182, -195, -210?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y - 6. Let g be 1\/y + (-176)\/(-192). What is the nearest to -2\/7 in -4, g, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -4. Let w(y) = -y**2 + 9*y - 7. Let s be w(q). Sort -5, s, 2 in ascending order.\nAnswer: -5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-5\/7)\/s))\/(s*s**(6\/17)*s) assuming s is positive.\nAnswer: s**(43\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 1650.\nAnswer: 4950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -9*k**5\/70 + 68*k**4\/3 + 308*k**3\/3 + 432*k**2\/7 + 3580*k. Suppose n(i) = 0. Calculate i.\nAnswer: -2, -2\/9, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 7*r - 7. Let g be i(-7). Let a be (-32)\/10 + g\/(-35). Let h = -21.31 - -21.5. Put h, a, -2 in decreasing order.\nAnswer: h, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 4*z - 259. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -341*n. Let o(g) = 11*g. Let r = -182 + 369. Let k(f) = r*o(f) + 6*t(f). Let u(m) = -m**2. Determine u(k(i)).\nAnswer: -121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - o**2 + 10*o**3 - 9*o**2 - 61*o**2.\nAnswer: 10*o**3 - 66*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-16 + 1044\/90)*(-10)\/(-12))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -33106759662360.\nAnswer: -33106759662360.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -810 + 1215. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 + 2503615*c\/2 + 2503616.\nAnswer: -(c - 5007232)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from ltmmlmmlm.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167400 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4 or 0.26729?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30256.43mm in meters?\nAnswer: 30.25643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:32 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 48 = -3*d. Let x = -53 - -53. Let c = x - d. What is the highest common divisor of 108 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -43 (c) 3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 396314089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(1\/2 - 245\/450). Suppose 11*c - h = -2*c. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 139 = -j - 137, -3*j = -2*h - 108. Solve -14*x + 80 + j = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(396)*3 + 0 + sqrt(275) + 4)**2.\nAnswer: -29175 - 920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/7*(7 - 33). Solve -44 + z = -3*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2320 + 66*s - 2321 + 1028*s + 1447*s + 550*s as y*s + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 71 + 151. Let v be (-80 - -3) + 0 + 2. Let a = h + v. What is the highest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + o. Let r(l) = 10*l**3 + 12*l**2 - 18*l. Let v(m) = -22*k(m) - 2*r(m). Find the second derivative of v(f) wrt f.\nAnswer: 12*f - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 12*x - 13*x - 25, 5*a + 30 = -2*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-6)\/((-24)\/484)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -19*d**2 - 6*d. Let a(o) = 2*o. Let n(l) = 6*a(l) + 2*z(l). Let t(k) = -k**2. Determine n(t(u)).\nAnswer: -38*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*b + 16*b**2 + 16*b**2 + b**2 - 1536 - 51*b**2 + 22*b**2.\nAnswer: 4*(b - 32)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 2*x**4 - 3*x**2 + 88 - 31 - 31 in the form z + k*x + s*x**2 + q*x**3 + p*x**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1599604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or 84.7523?\nAnswer: 84.7523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66768 and 367224.\nAnswer: 734448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 812*v**2 + 131707*v + 1107. Determine u(224).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1114, 135, -107 in descending order.\nAnswer: 1114, 135, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000001 (base 2) to base 10.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24\/5 - -149\/30. What is the closest to 2 in -2\/3, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**3 - 3*a + 2. Let f be (-11)\/(-22)*(-4)\/(-2). Let r be v(f). Let 63*i**4 - r*i + 2*i + 95*i**3 + 36*i**2 + 11*i = 0. What is i?\nAnswer: -1, -2\/7, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2008, -2, -1\/2 in ascending order.\nAnswer: -2, -1\/2, 2008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2178 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 40*d - 1200. What is the greatest common factor of 16 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 772520.3 litres?\nAnswer: 772520300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572*k + 569*k - 2242*k + 570*k + 552*k.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 times 48.33912\nAnswer: 19.8190392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 2 = 0. Let g(f) = 6 + 0*f**w + f**2 + 39*f - 40*f. What is the tens digit of g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15376 + 15375. Let z = -352 - -49283\/140. Is z greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1. Let v(n) = n**2 + 1. Let m(c) = 3*t(c) + 3*v(c). Let h(x) be the third derivative of 0 + x**2 + 0*x - 1\/8*x**4 + 0*x**3. Calculate h(m(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 297? (a) -0.12 (b) 4 (c) -2 (d) 2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*q - 2*q - 11*q + (2 - 5 + 1)*(6976 - 170*q - 6976) to the form f + n*q and give n.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 divided by -41?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2)*((-114)\/3 - 0). Let p be 0 - q\/4 - (-5)\/(-10). Solve 0 = -12*o + p*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327*q - 90160 = -927*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10692\/185 + -13716361\/236430. Let i = 1\/426 - a. Put i, -0.5, -4 in ascending order.\nAnswer: -4, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -5, -28 in ascending order.\nAnswer: -28, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 4*o + 16. Solve -o*r = -4*r + c - 12, 4*c - 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211100220 + -2011000?\nAnswer: -220111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (8 - (10 + 4 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 6*c. Let a be g(4). What is the common denominator of (-103)\/(-120) + (-4 - a\/3) and -53\/45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.93243129191 less than -9?\nAnswer: -30.93243129191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28223 + 2116727\/75. What is the fourth smallest value in 0, a, -5, -4\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 12671 + 33645. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mam when three letters picked without replacement from {m: 2, j: 2, a: 5, o: 7, s: 1, l: 3}.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13869977041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 1, 4, -2 in descending order.\nAnswer: 4, 1, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 54 = -6*x. Suppose -2*o + 648 = 2*o. What is the highest common divisor of x and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333804 (base 9) in base 13?\nAnswer: -6cb62","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 17*q + 10*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 11 = 25. Solve 1 = -b*s + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - -24) + -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Solve -c*m = -q + 9, 2*q - 2*m = 9 + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125 - 20*t**2 + 277 - 128 with respect to t.\nAnswer: -40*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219273 is divided by 109634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 2*g)*(0*g + g**2 + 0*g) - 29*g - 6*g**3 + 29*g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**2 + 11*k + 13. Let s(v) = 3*v**2. What is f(s(j))?\nAnswer: -6*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + j = 557, 2*o - 4*j + 3*j = 368. Suppose 0 = 5*d - o - 465. What is the remainder when d is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -566, -512, -548, -668, -866, -1136, -1472, -1868?\nAnswer: -2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 4*g + 0*g)*(6 - 8 - 1 + 3*g)*(4*g - 3*g - 3*g) + (-2*g + 4*g - g)*(0*g**2 - 2*g**2 + 4*g**2).\nAnswer: 8*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/12)\/((-2)\/8). Let m = 1 + s. Solve 0 = m*v - 0*f - 3*f - 1, 0 = f - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -425173 (base 9) to base 6\nAnswer: -5231450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:26 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9158 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h*o**3 - 2*h*o + 70*h - 29*o**5 + 37*o**2 - 2*o - 6 wrt o?\nAnswer: 30*h*o - 580*o**3 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1289*g = -1290*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138110686?\nAnswer: 2, 7, 17, 53, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 94?\nAnswer: -9\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12739251.\nAnswer: 3, 7, 179, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 147463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1.66, -72, 4, 0?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5112 and 3150.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-10)*(-8)\/16*8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06125601 to three dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38807 + 38809.2059. What is b rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o + 35. Suppose -3*j - 2*y + 176 = -o*y, 3*j = 4*y + 172. Suppose -j + 4 = -2*s. What is the remainder when s is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 1. Let o(z) = -2*z**2 - 4*z + 41. Give -o(r) - 4*w(r).\nAnswer: 2*r**2 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3. Let o(s) = 32. Let z(h) = -12*j(h) - o(h). Let b(m) = -m**3 + 5*m**2 - m + 2. Let u be b(5). Let k(f) = f + 5. What is u*z(p) + 2*k(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*159\/12*-2. Suppose -5*m + p = -12. What is the highest common factor of 117 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -18. Let g be ((-11)\/p)\/((-1)\/(-1)). Put g, -2, -3 in increasing order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 3*q. Let c be (-10)\/(-8)*(-2)\/(-5). What is the closest to c in q, 2\/9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3 - 2*o + 7 + 5*o + o. Let a be j(-4). Does 11 divide (-4)\/6 + (-428)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 543, 533, 519, 501, 479?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.14 (b) 30 (c) 50 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51954 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82974 or 580812\/7?\nAnswer: 82974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 22 = -5*p + 7, 5*p = z + 3. Suppose p = j - 5*m - 2261, -1 = m - 5. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*0\/(4 - 2) - -2. Which is the second biggest value? (a) 5 (b) 3 (c) i (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lymk when four letters picked without replacement from myyymykyyyymyyymklly?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((28\/(-35))\/((-8)\/(-20)))\/(8\/(-36))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -109191\nAnswer: -1\/109191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -147622.22?\nAnswer: 295244.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120875 and 59650.\nAnswer: 288407750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -229922.631 and -233.\nAnswer: -230155.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2. Let j(s) = -274*s + 2. Determine j(c(t)).\nAnswer: 822*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -2\/7, -0.3, 206?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 - 4*i + 2. Let b(c) = c**3 - c**2 - c. Calculate -4*b(x) + r(x).\nAnswer: -4*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a5b (base 12) in base 8?\nAnswer: -35747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-2 - (-110)\/20). What is the second smallest value in -1\/3, 0.3, -43, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 23*n + 21. Let i be b(-57). Are -1290 and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128567.6119 - -128561. Let w = 5.8 - -0.8. Let p = w + g. Round p to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25552534 - -202?\nAnswer: -25552332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 945228694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 b, and 1 n when three letters picked without replacement from {f: 1, n: 1, u: 2, l: 3, b: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13.14, -1\/4, -1\/41, -0.1?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20283.\nAnswer: 3, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 38\/12*(-11450)\/(-21755)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, z: 7, m: 5}. What is prob of sequence zzm?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 - 184. Let n be 4\/(-10)*((-28)\/f - 1). Solve 5 = -n*z + 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 2:40 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5*c**(-1\/10)*(c**23)**(-2\/49) assuming c is positive.\nAnswer: c**(1941\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798942178?\nAnswer: 2, 399471089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 + 69.57. Let y = x + 0.4368. What is y rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -35*r**3 - 70*r**2 - 70*r - 70. Let p(b) = -b**2 - b - 1. Determine o(s) - 70*p(s).\nAnswer: -35*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2889 + 2889.1. What is the third biggest value in 120, f, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h + 985. Let o = 460 + -179. Let g = o + h. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o. Let h(u) = 13*u + 110. Let j be h(-6). Let z(g) = -15*g - j*g + 11*g - 27*g. Determine z(s(b)).\nAnswer: 63*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 + -3. Let q = -0.3 + m. Let w be (1*(-2)\/(-3))\/((-168)\/(-252)). Is q != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1305 + 8303. Calculate the remainder when c is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-54))\/((-9)\/(-540)*3).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 5:42 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*a + 3690. Suppose 0 = 10*b - 5*b - a. Suppose -p + 10*c - 5*c + b = 0, 0 = -p - 4*c + 91. List the prime factors of p.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 + 142. Is 8 a factor of (d\/(-4) + 4)*35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)*(w**(-20)*w)\/w assuming w is positive.\nAnswer: w**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42128 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -90 (b) -2 (c) 1\/206 (d) 8 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599*d - 6 - 14 = 594*d + 2*g, d - 3*g - 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 8. Suppose -3*w - 4*u + 6 = k, -3*w + u = -10 - 11. Solve -4*x + w = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l + 0 + 3 - 6*l - 11*l**2 to u + g*l + w*l**2 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2 - 71*i - 6. Calculate v(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35278, 35697, 36116?\n\"Answer: 419*g + 34859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 9446*t**2 + 66024*t.\nAnswer: 2*t*(t + 7)*(t + 4716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Divide 2320 by -8.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {l: 1, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*w**3 - 17*w**3 - 12*w**3 - 14*w**3 - 12*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -307\/14 - -311\/14. Which is the second smallest value? (a) 15 (b) -5 (c) q (d) 19 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 5*x - 15. Determine q(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/468)\/((-1319)\/(-51441))*260*1\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028 times 5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 51 = 5*x, -3*x - 15 = 2*j - 28 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one fifths of a minute?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 2. Let g be v(3). Suppose 0 = 4*t - 4*x - 20, -2*x = -3*t + g + 8. Let y(j) = 3*j**2 - t - 2 - 4*j**2 - 6*j. Calculate y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and -227080.608.\nAnswer: -227092.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 7*c. Let v(d) be the second derivative of -2*d + 0*d**4 - 1\/3*d**3 + 1\/20*d**5 + 0 + c*d**2. Find the second derivative of v(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*n + 2*n = -12, -3*n = 9. Let j = 9 - 5. Let q(f) = -f**2 + 5*f - 2. Let c be q(j). Solve -c*z + 13 = -5*r - 9, 5*r - g*z + 23 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 2*z + 21, -3*z + 18 - 14 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3866053433?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 4 - 4 + 4*v - 5*v + 2*v - 2*v - 2 + 2 + (-2*v + 4*v - v)*(3 - 6 + 1) + 3*v - 3*v + v - 4 + 4*v + 2 + 0*v as p + o*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 12 - 8 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.36011655 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 41*f - 233. Let b(o) = -5*o + 2. What is the remainder when v(7) is divided by b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 92870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (2*-1 - -8). Let x(u) be the second derivative of 0 + 1\/2*u**3 + 1\/12*u**4 + u**2 + 12*u. Give x(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -30\/11, -1\/8, -3\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, -319, -332, -337?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, 0, -2\/29, 2.48, 1, 5.\nAnswer: -2\/29, 0, 1, 2.48, 5, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Suppose 0 = -28*m + 33*m - 10. Suppose 0*j - j + m = i. Which is the third smallest value? (a) -3 (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 5, r: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -11*f**4\/12 + 3*f**3 - 11*f**2 + 2. Let w be c(1). Put 1, w, -1, 5 in increasing order.\nAnswer: w, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -5*n**2\/2 + 2. Let w(z) = -7*z. Let s(h) = -8*v(h) + 5*w(h). Let x(d) = d**2. What is s(x(r))?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36527, -36523, -36519, -36515, -36511, -36507?\n\"Answer: 4*q - 36531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -48 (b) -24\/17 (c) -0.4 (d) -4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 95. Differentiate 1 + 2*b**2 + 2*b**2 - z + 4*b**2 with respect to b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8100?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 120398 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*z, -2*z - o + 1 = -1. Suppose r + 35 = l + 245, -598 = -z*r - 5*l. Does 46 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7576499?\nAnswer: 7, 23, 47059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -11\/3, 52610\/3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1196)\/4186 - -1*1.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b**4 + 572*b**3 + 17572*b**2 - 33836*b - 50820 = 0. What is b?\nAnswer: -21, -1, 11\/4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 3*w - 90. Suppose w = 4*m - 6. Suppose c = 4*c - m. Solve 2 = -n, -4*n + 5*n = p + c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -63. Suppose -61 = -5*d - 6. Calculate the remainder when u is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**1\/o**(-2)*(o*(o*(o\/(o**(-6)\/o))\/o)\/o)\/(o**(-1)\/o)*((o*o**(-1))**43)**(-1\/14) assuming o is positive.\nAnswer: o**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 206 = 6. Let u be (-47 + 50)\/((-9)\/(-123)). Is u not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrcprrpcrvprvrc. What is prob of picking 1 v and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuus when four letters picked without replacement from {u: 6, q: 11, s: 2}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.049 + 0.049046. Round y to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqxq. What is prob of sequence xxqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -54939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(10)*-1)*4)\/(sqrt(72)\/sqrt(36)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 + 0.36. Which is the smallest value? (a) h (b) -12 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 14505.\nAnswer: 58020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 28. Calculate the remainder when v is divided by -2*-4*(3 + -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-10) - 64\/160?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/((-55)\/10)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -864.08, 2\/3, 0.3, -5 in descending order.\nAnswer: 2\/3, 0.3, -2, -5, -864.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((-24)\/10 - (-2)\/5). Solve -k = -3*k - d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2 - 122749*o - 122750 = 0.\nAnswer: -1, 122750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - x)*((-3 - x + 3)*(6 + 14 + 2) + (3 + 0 - 1)*(-1 + 1 - x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 30?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 1575*d**2.\nAnswer: -5*d**2*(d - 315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 419 = -5*n, 5*x = 4*x - n + 208. Suppose 0 = 262*l - 265*l + x. What is the greatest common factor of 69 and l?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204797 is divided by 279?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*l**2 - 4*l - 37*l**2 + 120 - 51*l**2)*(-2*l + l + 0*l + (-2 - 2 + 2)*(3 - 3 + l) + 3*l + 2*l - 6*l).\nAnswer: 4*l**3 + 16*l**2 - 480*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**2*z)\/z*z**0 assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 26*s**2 + 38*s - 9. Suppose 0 = -5*g + a - 38, 2*a = -g + 5*a - 16. Let z be y(g). What is the greatest common factor of 37 and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14073\/28 + -3013\/6. Find the common denominator of f and -34\/9.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*w**3 - 34575*w**2 - 153388*w + 15.\nAnswer: -324*w - 69150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 26*v. Let c(i) = 6*i**2 - 7*i + 3873. What is c(g(m))?\nAnswer: 4056*m**2 - 182*m + 3873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*m + 6. Calculate the highest common divisor of m and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0 + 4 - 3*w + 2*w - 7 + 9. What is r(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - (-882)\/15)*(49 - 9)\/4 is divided by 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5547*-247\nAnswer: 137.0109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-156688)\/(-28))\/(2*1)?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ieid when four letters picked without replacement from {i: 4, d: 1, e: 2, a: 1, n: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20149.052208 + -20149. What is p rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 + 207 = 14*r. Suppose 42*i = r*i + 474. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 24, 2\/5, 2, 800?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212 and 579661?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -40942383\nAnswer: 40942382.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -994*y**2 + 6*y + 33 + 16*y + 5*y - y + 993*y**2. Determine g(27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from rbrlblpx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-140)*1095\/(-1752)*(-14)\/(-204)?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 1, y: 1, g: 1, c: 1, s: 2}. What is prob of sequence cy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 46. Is f\/((-4)\/(-8)) + 219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -4*k + 5*s - 35, 2*k - 2*s = -6. Suppose 225 - 40 = 3*r + k*d, -5*r + 3*d = -321. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22222121 (base 3) to base 15.\nAnswer: 1e1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s = -4*d - 4, d + 1 = s. Suppose -7*o + 28705 - 2105 = s. What is o rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 49 = -3*t - 16, -3*t + 39 = 5*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2379 and 23400?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 20*d - 93 = -5*l, 0 = 5*d - 4*l + 105. Let w(v) = 2*v**2 - 20*v - 15. List the prime factors of w(d).\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(1\/(-44)*-4). Solve 2*x - y = 4*y + 16, x = 4*y + b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 1\/2 (c) -224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.0421 and 0.01.\nAnswer: -11.0321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**7\/462 + 17*j**6\/330 - 7*j**5\/220 - 329*j**4\/132 + 101*j**3\/11 - 144*j**2\/11 + 649*j - 5. Find a, given that v(a) = 0.\nAnswer: -16, -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*l = -91*l - 348. Round l to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15664477.\nAnswer: 15664477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/5 in 0.02, -3\/7, 0.3, -10\/3, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 5 = -f. Suppose 7 = -f*l + 3*r, r = -4*l + 4*r - 8. Put 5, -4, l in descending order.\nAnswer: 5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*2.9.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.1, 1\/60, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0.8. Let t = 0.283 + 0.017. Let c(d) = -d**3 + 2*d**2 - 1. Let p be c(1). What is the closest to -5 in m, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-6)*(-17 - -1 - -1). Let o(z) = z**2 - 10*z - 24. List the prime factors of o(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2. Suppose -125 + 126 = l. Let v be ((-12)\/(-7))\/((-38)\/42 + l). Let o(m) = -v*m**2 + 25*m**2 - 84*m**2. Give w(o(a)).\nAnswer: 5929*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -59\/2. Let t = -35 - -35.2. Put l, t, -1\/6 in decreasing order.\nAnswer: l, t, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17086?\nAnswer: 2, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1 - 21 - 57 + 7*i. Let o be v(11). Solve 3*w - 7 = -2*j, 3*w - 5*w + 10 = o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1153*m - 9223. Let c be l(-8). Let a(x) be the first derivative of -x**3\/3 - 7*x**2\/2 + 2. Let r be a(-7). Solve r*i = i + c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 11:42 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 27 = 5*r - 38, -3*w - 70 = -2*r. Is (w\/6)\/((-8)\/192) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2. Let z = -9 + 12. Let m(t) = t + z*t + 4*t. Give h(m(c)).\nAnswer: -128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3232?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y**2 + y**3 - 31 - 6*y**2 + y + 85 - 31 - 24. Give r(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**5 - 34*q**4 - 91*q**3 - 18*q**2 + 132*q + 6. Let m(t) = t**4 - t**3 + 2*t - 1. Let w(u) = -6*m(u) - y(u). Solve w(g) = 0 for g.\nAnswer: -24, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let r be d(-6). Let v be 4\/r + (-1)\/3. Let h(o) = 4*o + 7. Let w(m) = -3*m - 5. Let p(j) = 2*h(j) + 3*w(j). What is p(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59312?\nAnswer: 2, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2773.80025 to the nearest 10.\nAnswer: -2770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 7*c = -50. Is 8 a factor of -2 + 0 - 4 - c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133060044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(240)\/((sqrt(96) + sqrt(96)*-3)\/sqrt(8)))\/((sqrt(4) - sqrt(12)\/sqrt(3))*-6 - 5*sqrt(12)\/sqrt(3)).\nAnswer: sqrt(5)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -73711, -2 in decreasing order.\nAnswer: 16, -2, -73711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*d - c, -4*d + 6*c - 4 = 2*c. Let i(x) be the first derivative of x - 17 + 11 + 2*x**2 + d*x. Let n(o) = o + 1. Give 2*i(m) - 10*n(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1158*z**4 - 3*z**2 - 8*z wrt z.\nAnswer: 27792*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 = 2*n - 4*q, -4*q = 4*n - 5*q - 767. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44537*q - 22061*q - 22164*q.\nAnswer: 312*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((7 - -7) + -23) - (4 + 18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -846*i - 1175*i**4 - 1326*i - 1931*i + 783*i wrt i.\nAnswer: -14100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343+-4133\nAnswer: -3790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1011000011010100 (base 2) to base 11\nAnswer: -31013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/6 - 12\/(-36). Suppose -m - 210 = -o*m. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3359\/15 or -225?\nAnswer: -3359\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m + 2*a, -2*m + 2 + 8 = a. Suppose m*w - 485 = -0*w - 2*u, 2*w = u + 321. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 250\/7157 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/12 + k**3\/6 - 2688*k**2. Let t(w) = 1. Let b(y) = y**2 - 2. Let j(r) = b(r) + 2*t(r). Determine -6*j(f) - x(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(704)*-4.\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -9, 9, 43, 99, 183, 301, 459?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-44 + -2 + 2)*6\/(-24). Suppose 202 = -9*y + g*y. What are the prime factors of y?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.179 - -0.379. Let h = -0.44 + 0.04. Sort h, 5, i, 0.1 in ascending order.\nAnswer: h, 0.1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20918987.\nAnswer: 173, 120919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeskeskvskkkkvkvks. Give prob of picking 2 v.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -j - 5, 5*j + 3*v = 1471 - 1490 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3465, 3461, 3455, 3447?\nAnswer: 3437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 25*t**2 - 23*t - 23. What is the remainder when m(27) is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2706172, -5412326, -8118480?\n\"Answer: -2706154*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let p be 1*3\/(-36)*-2. Let u(o) be the second derivative of o + 0 - p*o**3 + 0*o**2. What is u(c(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**5\/40 + y**4\/12 + y**3\/6 + 3*y**2. Let u(n) be the first derivative of x(n). What are the prime factors of u(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssvllslslllsslsvs. Give prob of sequence lv.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100.1 + 103.1. Sort -0.05, -1, f.\nAnswer: -1, -0.05, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*108086.4.\nAnswer: -54043.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45 and 3?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 789133487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 989? (a) 1\/4 (b) -11 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 43 = 5*x - 49, -11*x = -0*q - 2*q - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9899675 - 66.24\nAnswer: -9899741.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Suppose -2*p - 9 = -2*w - w, x = -3*p + 2*w - 6. Suppose p = 4*y - 3*b - b - 140, 2*y - b = 69. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 20 = -6*v. Suppose -83 + 18 = -v*m. Let j(k) = k**3 + 9*k**2 - 14*k - 1. Let c be j(-10). Calculate the greatest common divisor of m and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 20*n**2 + 5*n - 52. What is the lowest common multiple of z(20) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 - 71 - (44 + -3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3289.\nAnswer: 4\/3289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*b + 4*w, 15*b - 19*b - w = -48. Solve -22*k = b*k + 66 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120011021001 (base 4) in base 11?\nAnswer: -3621759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480675*o - 480706*o + 961269*o.\nAnswer: -112*o","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -5815, -5715, -5443, -4915, -4047?\nAnswer: -2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 70 = 70. Let q = z - 31. Solve 4*r - 1 = 2*x + 5, 0 = -q*x + 2*r - 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -5*u - 17, 5*t - 9 = 4*u + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**6*p - 68226*k**3 - k**2*p - 6*k**2 + 2*k*p + 18*p wrt k.\nAnswer: 360*k**3*p - 409356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103418*h**5 - 8*h**3 - 4*h - 29719 wrt h?\nAnswer: 2068360*h**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r - 28. Suppose -266*p + 3 = -269*p. Let w(n) = 1. Determine p*b(k) - 28*w(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3749 or -4601?\nAnswer: 3749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/7119 and -19\/5085.\nAnswer: 35595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -165, -1261, -4251, -10083, -19705?\n\"Answer: -158*f**3 + f**2 + 7*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 10 - -6) + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -12*h**2 - 51*h - 1. Calculate r(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**16\/(o*o**16\/o*o) assuming o is positive.\nAnswer: 1\/o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 - 147*y**2\/4 - 75*y + 21 = 0. Calculate y.\nAnswer: -2, 1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**2 - 119*s + 209*s - 94*s - 3*s**3 as z + p*s**2 + a*s + n*s**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.161 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 42?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87313494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -46*x**3 + 23*x**2 - 20*x - 11. Let p(r) = -15*r**3 + 8*r**2 - 7*r - 4. What is 6*k(i) - 17*p(i)?\nAnswer: -21*i**3 + 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 16 = -0*l - 5*k, 5*l = -2*k + 11. What is the closest to 2\/5 in 5, 1\/9, l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, w: 4, s: 2, a: 4}. What is prob of sequence ssa?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.09 + 5.188. Let v = f + -0.098. Which is the nearest to 0? (a) v (b) -5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 5:38 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439037, 878101, 1317183, 1756295, 2195449, 2634657, 3073931, 3513283?\nAnswer: 3952725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1886 divided by 1886.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152\/3 - 50. Sort -2, g, 2\/7 in increasing order.\nAnswer: -2, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 45cdc?\nAnswer: 45cd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from bonnbnobab.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -176, -1991, -5432, -10499, -17192, -25511?\n\"Answer: -813*i**2 + 624*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 665 + -653. Put -1, 7, f in ascending order.\nAnswer: -1, 7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 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: Four letters picked without replacement from {q: 2, e: 1, u: 4, a: 3, r: 6, k: 2}. What is prob of sequence qqke?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2313?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5, 75, 0, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -122*u - 29. Let z(v) = 138*v + 30. Determine -7*s(p) - 6*z(p).\nAnswer: 26*p + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13041271 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 249 and 51.\nAnswer: 4233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -0.19\nAnswer: 0.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 65528*f**2. Let k(b) = 3*b**2 + 4*b. Calculate k(a(x)).\nAnswer: 12881756352*x**4 + 262112*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 1)*((-2*x + x**2 + 2*x)*(-2 + 3 + 0) + 5*x**2 - 4*x**2 + 0*x**2 - x + x + x**2 - 4 + 4 - 2*x**2 + 4*x**2 - x**2 - x**2).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, -5646, 5, -3, 0 in ascending order.\nAnswer: -5646, -3, 0, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + sqrt(304) + -1 + (sqrt(304) - (sqrt(304)*1 + sqrt(304))) + sqrt(304) - ((1*1*sqrt(304) - sqrt(304)) + sqrt(304)))**2.\nAnswer: -8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - 1 - ((-2)\/(-1) - -1). What is the highest common divisor of j and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0*t - 3 = -3*t, 5*t - 19 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 7 + 1. What are the prime factors of 144 - j\/4 - (-3)\/(-1)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10488*x**3 - 7*x + 11*x - 2 - x.\nAnswer: -10488*x**3 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*0\/(-91)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092125 is divided by 3717.\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 243546*f*z**5 + 4*f*z**3 - 642*f*z**2 + 18*f*z - 47*z**2 wrt z.\nAnswer: 14612760*f*z**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -38, -75, -164, -323, -570, -923, -1400?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 10 = -j, 22*t + 6*j - 10*j = 144 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 10*z**2 + 11*z + 1. Let k be f(-2). Which is the biggest value? (a) -8 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20540 (base 8) to base 16\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((1\/3)\/(15\/(-45)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 71, 85, 117, 173, 259, 381?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 71?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000100100111100 + 110?\nAnswer: -1000000100100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - (2 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from llllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.618 + -1.718. Suppose 5*t = y + y + 15, 0 = -3*t + 2*y + 5. Sort r, 26, 2, t in descending order.\nAnswer: 26, t, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 7) + 7 + -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 23*t**2 + 22*t + 4. Let w be o(-22). Suppose 4*s + w*s - s = 0. Is 3\/5 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 5*n + 39. Let d be m(-9). Let s be (-2 - 0) + -1 + 11. Suppose -s*b = -b - d*b. Solve -6*z + z + 15 = b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/5, -2, -2180 in descending order.\nAnswer: 5, 1\/5, -2, -2180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4)*n**1*n)\/((n**(-2\/5)*n)\/n*n*n**(-4\/9)) assuming n is positive.\nAnswer: n**(287\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-6))\/(2\/6). Let z(y) be the second derivative of y**5\/10 - y**4\/6 - y**3\/3 - y. Let i be z(2). Put h, i, 2 in descending order.\nAnswer: i, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-6)\/(-18))\/(3\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 169292991547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 55619875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 23. Suppose 4*x = -g + 2*g - 2, 0 = 5*x - 10. Let u be (g\/15)\/((-2)\/(-21)). Solve 4*y - 6 = o*s + 2, -2*s = -3*y + u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 680 and 120?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22e6 (base 16) to base 11.\nAnswer: -6792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 51*i**2 - 4374*i + 294836. Calculate m(60).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 24. Let o = g + 5. Solve -o*b - 4 = -5*x + 1, -7 = -3*x + b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 43*r + 11*r - 24*r.\nAnswer: -56*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 33*d**5\/20 + d**4\/12 - 32*d**3\/3 - 37*d. What is the second derivative of b(r) wrt r?\nAnswer: 198*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 16*k - 10. Let j(v) = v + 6. Let n be j(6). Does 19 divide l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 160, 330, 504, 682, 864, 1050?\n\"Answer: 2*w**2 + 164*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77115121.\nAnswer: 77115121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 13. Let y be u(12). Let s = y - -1. Solve 0 = -5*c + s*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 1, s: 2, v: 1, k: 1, n: 1}. What is prob of sequence ky?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245*g**2\/4 - 8605*g\/4 + 525\/2.\nAnswer: 5*(g - 35)*(49*g - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1957692*y**4 + 2*y**2 + 24901299 wrt y?\nAnswer: -7830768*y**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, 1, 2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 27*k - 88. Determine n(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35847 and 9891?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*f - 1 = 4, 0 = r + 4*f + 10. Suppose v = u + 4, r*u + 3*v + 2 = 14. Suppose -48*k - 9*k + 114 = 0. Solve -k*z = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**3 - 214*z**2 + 1267*z - 39443. Determine b(35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588) - (sqrt(588) + (sqrt(588) - 1*sqrt(588))))\/(((sqrt(300)\/sqrt(5))\/sqrt(10) - sqrt(6)) + sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 13. Calculate the remainder when x is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8346, 16723, 25078, 33399, 41674, 49891, 58038?\n\"Answer: -2*c**3 + c**2 + 8388*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/105 and 13\/271795.\nAnswer: 5707695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 207175248 a multiple of 2961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/252 - ((824\/(-84))\/2 + -1). Suppose 4*u + 6*l = 3*l + 27, -15 = -3*l. Factor j - 3*j**u - j**4 + 12*j**3 - g*j**3 + 3*j**2 - 6*j**2.\nAnswer: -j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.048? (a) 2\/5 (b) -3 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/11)*n*n**(2\/105))**(10\/13) assuming n is positive.\nAnswer: n**(1304\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/4 + 16283133*u**3\/4 + 65132543*u**2\/4 + 81415683*u\/4 + 16283137\/2 = 0.\nAnswer: -2, -1, 16283137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/10 and -61\/2231310?\nAnswer: 2231310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l - 6. Let q be r(-2). Solve 4*h + 4*p = q, -h - 3*p = -p - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*b**3*c**3*j + 3*b**3*c*j**3 + 2*b**3*j + 22*b**2*c**3*j**3 - 23*b**2*c**2*j**2 - 56*b**2*j**3 wrt c.\nAnswer: 960*b**3*j + 132*b**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -488, -1105, -1980, -3119, -4528, -6213?\nAnswer: -8180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21131 (base 4) to base 13.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21807?\nAnswer: 3, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 17*g + 12*g = -63, 11*h + 3*g = 50 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 39 = -61. Let h = d - 35. Let s = 11 - 4. Solve h = -2*x + s*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6728.8526*-0.1.\nAnswer: -672.88526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*x - 9, 4*x + 40 = w + 25. Let r(h) be the first derivative of -2\/13*h - 2\/13*h**2 + 6 - 2\/39*h**w. Determine o, given that r(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*a - 11 + 42 + 45.\nAnswer: -45*a + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 120 = -6*g, -5*g = -276*t + 280*t - 308. Calculate the highest common divisor of t and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 9715.\nAnswer: -19430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:19 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose -4*k + 0 = 28. Let y be 3\/(k\/2 - 1). Which is the biggest value? (a) r (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15004 divided by 682.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 376494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 26*v**2 + v - 2. What is the tens digit of j(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 19. Let c = 7 - w. Calculate the lowest common multiple of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-40)\/1350*(-207)\/(-69)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*2*12\/(-8). Let n(v) = -v**3 + 4*v**2 - 3*v - 5. Let l be n(4). Let j = t - l. Calculate the highest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 381\/119 + 223041\/(-883779) + (-6)\/(-31).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -20.\nAnswer: 19\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 17, -33 in decreasing order.\nAnswer: 17, 2, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 68802371.3 rounded to the nearest one million?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3143, -3152, -3161, -3170?\n\"Answer: -9*i - 3134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k. Let t = -2 - -1. Sort k, t, 5.\nAnswer: t, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 553*j**5\/5 - 854*j - 406. Find the first derivative of x(o) wrt o.\nAnswer: 2212*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 579*b**2 - 708*b**2 - 440 + 125*b**2 + (4*b - 4*b - 4*b)*(3*b + 0*b - 5*b) to f*b + o*b**2 + r and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16800, 134365, 453454, 1074825, 2099236, 3627445?\nAnswer: 5760210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750277*u - 4 + 4.\nAnswer: 750277*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-12) + 7603\/1464. Let b = z - -6\/61. What is the common denominator of b and 81\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + -1)*-6 - ((sqrt(20) - (3 + sqrt(20) + 1)) + sqrt(20)))**2.\nAnswer: -280*sqrt(5) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*s)*(26 + 135 + 181)*(0*s - 2*s + s)*(-3*s + 5*s + 5*s).\nAnswer: -4788*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(15)\/sqrt(3)*-3 + (sqrt(320) - (sqrt(320) + 2*sqrt(320))))**2.\nAnswer: 9025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311140 (base 5) in base 9?\nAnswer: -38341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (333 - -4)*(-18 + 24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6819, -27231, -61251, -108879, -170115, -244959, -333411?\nAnswer: -435471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from lkkdk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 1, b: 7, r: 2, k: 4, q: 4}. What is prob of picking 1 r and 1 k?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 o when four letters picked without replacement from kqqqqqoqqqookooq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/15 - 1292*d**2\/15 - 136678*d\/3 - 13909040\/3.\nAnswer: 2*(d - 1016)*(d + 185)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26394 - 3219995\/122. Calculate the common denominator of 10\/(-16)*47\/((-29375)\/(-2150)) and n.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 0*c**2 - 8 + 3 - 2 + 6*c. Calculate v(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 + 0. Let s = 0.6 + t. Let c = -13 + 18. What is the nearest to s in c, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15064 and 1883?\nAnswer: 15064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*p, -5*z = -14*p + 9*p - 60. Suppose -z*o - 4 = -3*t - 10*o, -5*t - 5*o = 0. Let r = 9 + -13. Put t, r, 13, 3 in descending order.\nAnswer: 13, 3, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 6*x**2 + 5*x - 10. Let y be w(6). Let l = y + -21. Let c(z) = -5*z**2 + z. Give c(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*g - 76 + 77 = -4*g, 0*u - 4*g - 20 = -16*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**5*z**3 + 93*w**2*z**3 - 37*w*z**2 + z**3 wrt w?\nAnswer: 20*w**3*z**3 + 186*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038.355 take away 61.985?\nAnswer: -1100.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-9) + 2)*(-6 - 0). Let t be s\/7 - (-6 + 78\/14). Let p = 42.9 - 35.9. What is the closest to p in t, -1\/9, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154007203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.168 (c) 1.8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 15*o**4\/4 + 8*o**3 + 3*o**2\/2 - 6*o + 11. Factor y(a).\nAnswer: 3*(a + 1)**2*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 197513778?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -19*i + 16*i, -4*a - 4*i = -12. Solve s + 2 = -3*z, 4*z + 5*s + 4 = a*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.200001 - 0.2. Round q to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+3121423\nAnswer: 3121422.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-9)*(v**0)**(-2\/33) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1222120101 (base 3) to base 8\nAnswer: 114214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p - 3*d + 127, -3 = 3*d. Let h = -10 - p. Let m be (4 + 2 - -12)*(-32)\/(-6). What is the greatest common divisor of h and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14902096*c**3 - 2301278 wrt c.\nAnswer: -44706288*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (-10 - 3 - -29)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 189*r**4 - 19086*r**2 + 19086*r**2 + (4*r**3 + 0*r**3 - 2*r**3)*(r - 6*r + r + (-2*r + 2 - 2)*(-4 + 6 - 1)).\nAnswer: 177*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (sqrt(1331) + 1)) + -1*(sqrt(11) + sqrt(11)*-1) + 3 + (sqrt(11) - 4*sqrt(55)\/sqrt(5)))**2.\nAnswer: -12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v**2)*(-1 - 1 + 1) + (-3*v - 4*v + 5*v)*(6*v + 2 - 2) - 3*v**2 + 3*v**2 + 2*v**2 - v**2 - v**2 + 0*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/18 and -31\/234045?\nAnswer: 468090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(4*(sqrt(2) + sqrt(50))) + 4 + (sqrt(1700)*3)**2 + 4.\nAnswer: sqrt(17)\/24 + 15308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 2. Let a be n(-5). Calculate the greatest common divisor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -278 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 3 - 11 - 2 + 0.\nAnswer: 2*l - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-28)*m)**(-46)*(m\/(m*m*m**(-28)*m*m*m)*m*m)\/m**(-24) assuming m is positive.\nAnswer: m**1292","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -127, -4, -1 in decreasing order.\nAnswer: 7, -1, -4, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -9. Let r = j + -7. Let g = -4 - r. Which is the second biggest value? (a) -1 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 7 - 7)*(4 - 1 - 5)*(0 - 4 + 9)*(4*g + 2*g - 4*g).\nAnswer: 1000*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -3*i + 4*g, 0*g = -3*i - 3*g - 102. Let v = -43 - i. Which is bigger: v or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u + 7 - 24*u + 11*u)*(0 + u**2 + 0).\nAnswer: -4*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.58 and 210.\nAnswer: -121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**4 - 8*s**3 + 6*s**2 + 2*s - 1. Let t(i) = i**3 - i**2. Let f(m) = g(m) + 6*t(m). Factor f(l).\nAnswer: (l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/124 and 37\/797816?\nAnswer: 797816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 20*t**3 + t**2 - 2*t - 15. Let g(w) = -7*w**3 + w + 5. Let i(z) = 17*g(z) + 6*m(z). Determine i(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1234 + -2467\/2. Let x = 3 - -14. Let z = -22 + x. Which is bigger: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j + 8. Determine o(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4758557747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ramww. What is prob of picking 1 a and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 5. Let x(w) be the third derivative of w**4\/24 + 5*w**3\/6 + 8*w**2. Let j(k) = 6*d(k) + 5*x(k). Suppose -4 = 3*p + 14. Determine j(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, 0.64, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 340, 465, 610, 781, 984, 1225?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -2 in decreasing order.\nAnswer: -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:20 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7160 and 401676?\nAnswer: 4016760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2034577 > -2034577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936533 is divided by 2899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34*10\/(-88) - 1 and 25\/62.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234\/2485 + 68\/355. Let t = -5 - -4.97. What is the closest to -1 in -2\/11, y, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 2\/5 (c) -0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 14\/49 - (3105\/(-35) + -2).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(6*-2*sqrt(252) + sqrt(21)\/(sqrt(3)*-2)*-5))**2*-4.\nAnswer: -3245928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 394595 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 6:29 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**4 + r**3 - r**2. Let c(t) = -16*t**4 - 3*t**3 + 3*t**2 - t. Let p(d) = -c(d) - 3*z(d). What is the second derivative of p(m) wrt m?\nAnswer: 228*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, z: 3, u: 5, t: 5, w: 1}. Give prob of sequence twat.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -124 and 0.07.\nAnswer: -8.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**3 + 315*y**2 - 8694*y. Let n(l) = 4*l**3 - 317*l**2 + 8693*l. Let c(i) = -3*a(i) - 4*n(i). Find the second derivative of c(v) wrt v.\nAnswer: -6*v + 646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 655454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - -3)*972\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-9) - (105 + -111).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6566332 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 962505.51544201 - 6.11677201. Let m = o - 962513. Let a = 13.6 + m. Round a to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 883*b**5\/30 - 2017*b**4\/12 - 768*b**2 - b. What is the second derivative of t(p) wrt p?\nAnswer: 3532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 78.06036mg?\nAnswer: 0.00007806036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 18478 - 5706 = v. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84612, -168600, -252576, -336534, -420468, -504372?\nAnswer: -588240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*n + 2159 - 6304 = 1685 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*v = 328, -z + v = 3*z - 1277. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 + -2 + -2) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12558037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 + 31 + 19)*(-75400 + 133*s + 75400) to h + l*s and give l.\nAnswer: 1330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 71*b**6\/8 + 99*b**4\/8 - 330*b**2 + 2*b. What is the second derivative of j(o) wrt o?\nAnswer: 6390*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - b + 18 = 0, -37*s - 10 = -42*s + 5*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 268, 226, 164, 82?\n\"Answer: -10*m**2 - 12*m + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 6*m - 5. Let w = 995 - 1003. Determine o(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55276.\nAnswer: 2, 13, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-10857)\/7098 - -20?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/8 - 11638547*v\/8 + 2909637\/2.\nAnswer: -(v - 1)*(v + 11638548)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -9967\/6625 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8124*h + 8623*h = -20958 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = -12*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 3*h**6\/20 + h**5\/12 - h**4\/6 - h**3 + 18*h**2. Let z be n(3). Suppose 3 = 6*b - z. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + (1 - 5 - 5)*(-4 + 3 + 0))*(-2*n**3 + 4*n**2 - 4*n**2).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12384 = l + 5*n - 2881, 61160 = 4*l - 5*n. List the prime factors of l.\nAnswer: 3, 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -732 by -3.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*(f\/f**(-4))\/f*f)\/f)\/f)**(15\/8))**16 assuming f is positive.\nAnswer: f**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2. Let o(t) = 3*t. Let j(g) = 5*g. Let r(q) = 6*q. Let p(i) = -6*j(i) + 4*r(i). Let b(a) = -5*o(a) - 2*p(a). Give b(c(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-1 - 11\/(-4)). Which is smaller: w or 3\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + (-6 - -38) - 3) + 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 8*l + 5 = d, -4*d + 2*l = -20. Suppose 2*y = 11 - d. Solve -1 + y = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017386 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 787 - 3747. Let x = h - 1701. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/3 - (-112)\/8\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 31*h - 12. Let g(q) = 10*q - 4. Let d(u) = 7*g(u) - 2*o(u). Calculate d(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67487 - 67412.177. Let a = c + -74.46807. Let r = 0.358 - a. What is r rounded to 4 dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198164.\nAnswer: 2, 107, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**8\/20160 - c**7\/2520 + c**5\/90 + c**4\/4 + 4*c. Let y(m) be the third derivative of k(m). Factor y(f).\nAnswer: -(f - 1)*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -4. Round i to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 209803724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4296, -4288, -4276, -4260, -4240?\nAnswer: -4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 3, 1, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r. Let w(u) be the first derivative of u**2\/2 - 30*u + 181. Let a be w(31). Calculate z(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 1 - 16*k**4 + 0 + 19*k**4 to the form a*k**3 + l + o*k + h*k**4 + s*k**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011010 - 10010101?\nAnswer: -100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0 - 9*h**2 + 0*h - 1\/3*h**3 - 1\/12*h**4. Let f be (-3)\/(-2)*(-16)\/(-6). Let b(q) = 2*q + 2. What is f*y(j) + 5*b(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d2beb90 + 0?\nAnswer: -d2beb90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 909 - 511 = 0. Let v = 360 - q. Sort -4, -11, 0, v.\nAnswer: -11, -4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1305425 (base 6) to base 11.\nAnswer: 49570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -15. Let l = k - 15. Let q be (-6)\/4 + (-2 - -4). What is the nearest to q in -1, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, -2\/9, -0.2 in increasing order.\nAnswer: -2\/9, -0.2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 1170.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32096 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 + -664.\nAnswer: -664.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (3 + 47\/(-6)). Let h = 11\/3 - r. Let m = -0.4 + -0.1. Which is the closest to 0.2? (a) m (b) 2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20335578, 20335588, 20335620, 20335686, 20335798?\nAnswer: 20335968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -f5?\nAnswer: f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5\/13 + 1734*v**4\/13 - 3486*v**3\/13 - 8678*v**2\/13 + 10428*v\/13 = 0. Calculate v.\nAnswer: -869, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 10*j**3 - 18*j**3 + 10*j**3 - 2*j to g*j**2 + t*j + o*j**3 + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q - 3*q**2 + q**2 + q**2 + (-3*q + q + 0*q)*(-2*q - 4*q + 4*q + (-1 - 1 + 3)*(18 + 13*q - 18)) in the form p + r*q**2 + m*q and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -87, 4, 5, -3971 in increasing order.\nAnswer: -3971, -87, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 30 - (-12 + (20 - (-7 - -17)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/3)\/i)\/i**(-4\/25) assuming i is positive.\nAnswer: i**(-13\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 5:39 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4208970751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, x: 2, m: 2, y: 5, w: 2}. Give prob of picking 2 w and 1 x.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-3) - (-2)\/(-6). Suppose 0 = 4*r + 6 - 2, 2*s - b*r = 1342. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h + 6*h)*(0*h**3 - 7*h**3 + 3*h**3 - 9*h**2) + (2*h**3 - 4 + 4)*(-1 + 1 - h).\nAnswer: -10*h**4 - 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/13 + 38*j**3\/13 - 62*j**2\/13 - 102*j\/13 = 0. Calculate j.\nAnswer: -1, 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from fwwnnwfnwgnnfwn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0*p**2 + 0*p**6 - 1\/12*p**4 + 0*p**7 + 0*p**5 + 0*p**3 - 25*p - 3\/7*p**8 + 0. Find the third derivative of j(a) wrt a.\nAnswer: -2880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -8, -3, -0.2, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4836793 to 2 dps.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(1\/2))**(2\/83))**(2\/21) assuming x is positive.\nAnswer: x**(2\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(18) - sqrt(72)\/sqrt(4) - sqrt(18)) + sqrt(18) + sqrt(18) + 3)**2.\nAnswer: 18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 2\/2)\/(2\/(-4)). Suppose c*k - 11 = -4*z - 3*k, -3*z + 9 = 3*k. Solve -8 = z*f - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -48*b + 57. Does 28 divide o(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, k: 7, l: 1, a: 2}. What is prob of sequence vavk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6557\/12 - 546. What is the common denominator of -47\/23 and h?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71789?\nAnswer: 71789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 66600 divided by -74\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -284 * 43389\nAnswer: -12322476","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, -64, -132, -270, -502?\n\"Answer: -4*r**3 + r**2 + 3*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 3, -1, 0.5 in ascending order.\nAnswer: -1, 0.09, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62 - 10*u + 62)*(-4 - 5 - 3 - 5 - 4) to f*u + s and give f.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 107430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27926358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122284 is divided by 20379?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d - 5*h - 14 = 0, 4*h = -5*d - 26. Let k be d*1*(-1 - 0). Let j be ((-6)\/12)\/(k\/(-16)). Solve -4*g - n + 16 = -0*g, 3*n = -j*g + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64187655 and 1833933.\nAnswer: 64187655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/6 + 3636836*g\/3 = 0.\nAnswer: -7273672, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -35c (base 15) in base 14?\nAnswer: -3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4386549 + u**2 - 4386549 + 3*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 84*h**3 - 3*h**2 + 84*h.\nAnswer: 3*h*(h - 28)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z**2 - 15. Determine k(3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 (base 10) in base 12?\nAnswer: 20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 10*m**2 + 9*m + 4. Let r be p(-9). Calculate the remainder when 38 is divided by (1 - -1)\/(r\/40).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.348 * -0.3\nAnswer: -2.2044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400847629.\nAnswer: 7, 13, 223, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26430530 (base 7) in base 6?\nAnswer: -124011125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/2 - ((-7 - -3) + 10). What is the nearest to -1 in -3, 4, v, -169?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 7\/6*y**3 + 5\/24*y**4 - 2*y + 1\/60*y**5 - 5\/2*y**2 + 0. Let t(n) be the first derivative of m(n). What is t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/25*1*-5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-17 - (10 + -15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4592 and 37\/19474959?\nAnswer: 311599344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314, -628, -942?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**5 + 41*d**3 - 18*d**2*r**2 - 3604*d*r**2 + 2*r**2 wrt d.\nAnswer: -20*d**3 + 246*d - 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.51328 years to millennia.\nAnswer: 0.09851328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -127 - (1183 - 1211) - -27\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvl when three letters picked without replacement from jwsjljwwuvsv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/240 - (6\/(-8) - -1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:10 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69888*a**2 + 295*a**3 + 35249*a**2 + 34639*a**2.\nAnswer: 295*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -83846, -167823, -251934, -336179, -420558?\n\"Answer: -67*b**2 - 83776*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35414 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2793 divided by 7?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l + 36*l = -16*l + 242 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9)*y\/y**(-9))\/(y**0\/y**6) assuming y is positive.\nAnswer: y**(146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 83, -1\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -92 - (13 + -35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 13*p - 24. Let i be x(9). Solve 2*f = -3*m + 14, 4*m - 3*f = f + i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -759, -3016, -6777, -12042, -18811, -27084, -36861?\n\"Answer: -752*w**2 - w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 2*b**2 - 3*b - 3. Let t be y(3). Let f = 16 + t. Calculate the highest common divisor of f and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 34*z + 342. Calculate the remainder when f(0) is divided by 104.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 8*a - 47. Let f be u(-13). Suppose 7*t - 2*t - 990 = 0. What is the greatest common divisor of t and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w - 47*w + 58 = -2*v, -88 = 3*v - 2*w. Sort -26, 5, v in ascending order.\nAnswer: v, -26, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4811, -4285, -3759, -3233, -2707, -2181?\nAnswer: -1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 1, 0.4, -2497?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2584201 rounded to two dps?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 470? (a) -2 (b) -1 (c) 0.2 (d) -45 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 8 + 4. Calculate the remainder when 11 is divided by (-2)\/2*y*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14582 * -313.\nAnswer: 4564166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (41 + 21)) + 104?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1.29, 0.19.\nAnswer: -1.29, 0.19, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0 - 4 = 0. Let n be t*218\/(-11) + 6\/33. What is the first derivative of -2*s**3 + 10 - s**3 + n*s**3 wrt s?\nAnswer: 51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7551 - 286965\/38. Calculate the common denominator of 461\/(-36) + 1 - 90\/(-405) and q.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15795 + -15790. Sort -1, w, 1\/3, 3\/7, -0.2 in descending order.\nAnswer: w, 3\/7, 1\/3, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 853109*c**2 + 1810*c + 20 wrt c?\nAnswer: 1706218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + ((-117)\/(-27) - -2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 0*p**2 + 1\/20*p**5 - 1\/6*p**3 + 0 + p + 1\/12*p**4. Let k be d(0). Solve k*a - 8 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9133*z + 899 - 1792 + 893.\nAnswer: -9133*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 12:58 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*l - 16, l - 4*h + h = -7. Suppose 0 = u + l*u. Let q = 0.3 - 0.1. Put q, u, -1 in descending order.\nAnswer: q, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 945*y + 1957. Determine m(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seeeeeeeeseeeeseee. What is prob of sequence sese?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 10:54 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*j - 3*j + 17, -2*y + 2*j = -6. Suppose 0*s - s = w - 47, 0 = 3*w + y*s - 147. Let n = w - 23. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4620518 - h**2 + 2*h**2 + 4620518.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*v + 801, 4*q - 1044 = -0*q - 2*v. Suppose 0 = 2*j - 111 - q. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -10. Suppose x + 4*d - 14 = -4*x, 3*d = 5*x - 7. Let r(f) = -f + 3*f - 3 + 6 + f**x. Calculate r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 10:13 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 9 = 48 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:47 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178 or -179?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 1362*r**2 + 1365*r.\nAnswer: -3*r*(r - 455)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -237, -328, -403?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of (-460)\/(-1495) - 137844\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 5*g**2 - g. Let k be t(-5). Let w(o) = -k + 6 - 19*o - 2*o. Is w(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647992?\nAnswer: 2, 107, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17036 and 6716.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.95782 to 1 decimal place.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84163, 336699, 757593, 1346845, 2104455, 3030423?\nAnswer: 4124749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 a, and 1 v when four letters picked without replacement from {a: 3, s: 2, q: 4, i: 3, v: 7}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7455 is divided by 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 10149480 to the nearest ten thousand.\nAnswer: 10150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3106.3*3\nAnswer: 9318.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 8080.\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 10. Let x be b(0). Let g(a) = -a - 1. Let y be g(3). Let o = y - x. Solve o*c - c = -3*n + 27, 5*n - 2*c - 14 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146369207 to the power of 1\/2, to the nearest integer?\nAnswer: 12098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -8, -218 in descending order.\nAnswer: -7, -8, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 6742*t**2 - 6740*t.\nAnswer: -2*t*(t + 1)*(t + 3370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74960 + 2.\nAnswer: 74962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 10*b - 15. Give o(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**3 - 40544*i**2 - 324608*i = 0.\nAnswer: -8, 0, 10144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(12\/13)*b*b\/(b\/(b**(2\/33)\/b)))\/(b\/((b\/(b\/b**9))\/b)*b*b)**(-19) assuming b is positive.\nAnswer: b**(-40333\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4\/15 + 32*o**3\/5 - 314*o**2\/15 - 548*o\/5 - 1232\/15 = 0.\nAnswer: -2, -1, 7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -359b1 - 8?\nAnswer: -359b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 7:33 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/4168 and -119\/48?\nAnswer: 25008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.87 - 1.13. Let c = -4.63 + 9.63. What is the closest to 3 in c, h, -4, -2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(3 - 3 + 3*f)*(3 - 5 + 5).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13239 and 243?\nAnswer: 357453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 46*-0.06936\nAnswer: -3.19056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10277538067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f - 280 = -29*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -49 - 347. What is the highest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49\/5 of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6*963\/535?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93712 or -93662?\nAnswer: -93712","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 215 + -214. Solve -5*x = -3*q + 27, -5*x + 0 + f = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 divided by -1044?\nAnswer: -317\/522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -489 - -533.4. What is u rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*s**3*s)**(-1\/4)\/(s*s**(-2\/7)*s**(1\/13))**(3\/14) assuming s is positive.\nAnswer: s**(-2127\/1274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - 2*sqrt(4)\/sqrt(2)) + sqrt(64)\/sqrt(2).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + q**2)*(-2*q - q + 5*q) + 3*q + 20*q + 44*q**3 - 23*q.\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -14*c**2 - 2*c - 1. Let y be u(-1). Let n be -3*(-6)\/9 + 21. Let a = y + n. What is the remainder when 19 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2. Let z(s) be the second derivative of -13*s**3\/6 + 10*s - 9. What is z(g(b))?\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - 11.89. Let o = y - -14. Sort 6, o, 0.2, 0.1.\nAnswer: 0.1, 0.2, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840422499?\nAnswer: 3, 7, 40020119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017987608 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 less than -170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -18*b - 10. Give u(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**3 - 3*s**2 - 5. Let o(w) = -11*w**3 + 4*w**2 + 7. Let r(q) = -q**3 + 8*q**2 + 2*q - 23. Let y be r(8). Calculate y*j(k) - 5*o(k).\nAnswer: 6*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -637 - -1176. Let d = -360 + y. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 750.05505 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 g when three letters picked without replacement from {g: 4, t: 5, m: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 509.379 months in decades?\nAnswer: 4.244825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + m = 3, -125*s + 123*s - 24 = 4*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (8 - 13) - (-2 + (4 - 26)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 445 (c) -0.2 (d) -1 (e) 2\/3 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 1 - (37 + -88 + 41)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 47\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 132, 0.099, 2\/3, -0.1, 0, 62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48586921.\nAnswer: 48586921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 53*u**2 - 18. Is p(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 13 = 2*i, i + 17 + 12 = -2*t. Let c(v) = v**3 + 15*v**2 - 10*v - 19. Is 16 a factor of c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32306615 to the power of 1\/2, to the nearest integer?\nAnswer: 5684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 33065?\nAnswer: 132260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*r**2 - 8*r - 3 + 42 + 8*r with respect to r.\nAnswer: 164*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -5 (b) 2\/77 (c) 1\/2 (d) 0 (e) -433 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x. Let i(w) = -4*w. Let r(n) = 3*n. Let b(g) = 5*i(g) + 6*r(g). Calculate u(b(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10 + 50 = 0. Let t be (-28)\/(-6)*6\/(-4). Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*m - 8*m - 5*m in the form c*m + a and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a6d (base 14) to base 15.\nAnswer: 30ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from axj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -309 + 1245\/4. Is b at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 2)*((x + 2*x - 5*x)*(4 - 4 - 1) - 3*x + 8*x - 3*x + 2*x + 0*x + 0*x + (6*x + 2*x - 3*x)*(1 - 3 - 2)) as h*x + d and give h.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 7*s**2 + 9. What is the units digit of a(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 313 + (2\/(-3))\/(3\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 80 + 88. Solve -5*f = -5*s - f + 20, -s = -4*f - o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-66)\/(-11) + -10)\/((-12)\/(-2)). Let u = -14 - -9. Let o = -8 - u. Sort o, g, -2, -1\/6.\nAnswer: o, -2, g, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*r + 81, -2*d + 2*r - 109 = -7*d. Calculate the remainder when 4\/12 - 526\/(-6) is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 9 = 2*x, -19*f + 3*x = -22*f + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/84)\/(2\/(-88)) - 6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 + 988\/9. Put 4, 1\/3, r in ascending order.\nAnswer: r, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -3\/8*i**4 + 9*i**2 - 3\/2*i**3 + 0*i + 0. What is the first derivative of c(w) wrt w?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 1\/7, 3\/2, -0.5, -3, 261?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (0 - (-4 + 3)). Let k be (4\/(-4))\/(-3 - d). Let j = 5\/49 - -2\/49. Is j at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 5*y**2 - 4*y + 2. Let z be p(4). Let q(u) = u**2 + 2*u + 1. Let k be q(-5). Suppose 5*i = i + k. Solve -z*l = -l + i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)*2*-4. Let l = 167 - 64. Suppose l = 13*y - 105. What is the highest common factor of g and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/4 + 5*a**3\/3 + a**2 - 4*a + 1. Let g = 69 + -72. Give c(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 3*c**2 + 4*c + 4. Let v be o(4). Suppose 15 = -k + v*k. Find the second derivative of -n**5 - 4*n**3 + 4*n**3 + 0*n**k + 3*n wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 29603.\nAnswer: 5\/29603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -2\/5 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 28. Suppose 4*l + 12 = a*d, -5*d + 9 = -4*d + 5*l. What is the units digit of (4\/(-6))\/(d\/(-174))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 + (-11)\/(-33). Let g be (w - 2)\/1*-11. Solve 0*v = 4*t - v - g, -t - 2*v + 1 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 750656 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 564 (b) 0.4 (c) -0.11 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1008) + 2 - sqrt(1008).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756647.\nAnswer: 3, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 1 v when three letters picked without replacement from {w: 1, u: 2, q: 2, o: 3, v: 3, e: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - s - 2*s + 9 = 0, -3*s + 9 = 0. Let u be (-1)\/5 + (-16)\/(-5). Suppose u*d - 6*d + 21 = q. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -81. Which is the second biggest value? (a) 2\/7 (b) p (c) -0.09 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/6)\/(900\/(-160) - -6). Suppose -3 = 5*r + 2. Sort r, 0, q, 1 in increasing order.\nAnswer: r, 0, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 78 + 525 + 1065 + 3*s.\nAnswer: -2*s + 1512","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143 and (0 + 11)\/((-17)\/(-136)).\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -895*s + 188850. Determine q(211).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14230 + 14250. Solve -15*m = -g*m + 35 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -412, -4\/559?\nAnswer: -412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-444)\/8)\/(-37))\/((-105)\/28)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i - 8. Let t be y(6). Suppose 0 = 5*q - 25, -3*q = 3*z - 8*q + t. Suppose 3*a - 1 = 2*a. Calculate the remainder when z is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/1 + 9 - (1 + -25). Suppose 0 = -36*j - r*j + 58500. What are the prime factors of j?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22153388*o**2 + 19757654*o?\nAnswer: -44306776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73048 is divided by 1180.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-14))\/((-9159)\/516 + 18)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 4) + -3*1. Let j = 6 + i. Let t = 1 - j. Let c(g) = 6*g + 1. Calculate c(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3104 and 8.\nAnswer: 3104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/18*(1 + 11). Suppose -y*v = -207 - 243. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14*1 + (-70 - -67). Which is smaller: d or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/251 in -0.1, -2, 4\/23, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 69 and 1752367940943?\nAnswer: 1752367940874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000299 rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**7\/840 + r**6\/60 + 11*r**5\/120 + r**4\/3 + 247*r**3\/3 - 263. Let h(z) be the third derivative of c(z). Calculate h(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5917958, 11835913, 17753868, 23671823, 29589778, 35507733?\n\"Answer: 5917955*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)**48\/(w*w*w*w**(-6\/7)*w**10))**(12\/5) assuming w is positive.\nAnswer: w**(7044\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -627.568 - -260.214. Let y = c - -367. Round y to two dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3*t + 22 = v, -8*t + 5*v + 0*v = -42 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656 - 1944 = 228*m + 5324 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/(-198) - 1235\/468)*(-2)\/1?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (-131 - -132)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4737 - -4736. Is -855 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j + 4. What are the prime factors of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 5*o + 4029 - 1951 - 2023.\nAnswer: -3*o + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -10*o**2 + 6*o - 4. Calculate l(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18\/7*n**3 - 24\/7*n - 2\/7*n**5 + 0 + 8\/7*n**2 + 0*n**4 = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116896680 and 38280.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (91 - 42 - 38).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 take away 0.2?\nAnswer: -242.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43150 and 36800909.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1869 + 5008. Is 8 a factor of (-111)\/259 - (-3)\/21*c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3)\/(1*70\/(-21)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4, 2, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 68, 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + 0.2. Let n = 31 + -36. Let u be (-8)\/(-5)*(-5)\/(-2). Which is the closest to t? (a) u (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(7\/(49\/266))*(-4)\/(-4).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31305840*o**4 + 296340*o - 6 wrt o?\nAnswer: 375670080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 419*v**2 - 9*v - 8. Let r be u(-1). Let k = r - 380. What is the greatest common divisor of k and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*w**4 - 40*w**3 - 18*w**2 - 2786080*w wrt w.\nAnswer: 1236*w**2 - 240*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-3\/2))\/(w*w**(-3\/2)))\/(w**(-6)\/w*w*w**(-3\/4))*(w**(1\/2)\/w**(1\/2))\/(w**(2\/7)\/w)**(-4) assuming w is positive.\nAnswer: w**(109\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + 6713*x**2 - 12 - 23*x + 24*x - 25 to g*x**2 + p + t*x and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 260179359 minus -3.311?\nAnswer: 260179362.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 17*y - 11129. What is g(-114)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2\/2 + 531549*v - 1063101\/2 = 0. Calculate v.\nAnswer: -354367, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1710 and 2325?\nAnswer: 265050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -78*k**3 + k**2 + k. List the prime factors of r(-1).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -150855255 greater than -150855251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*m - 14. Suppose -4*f = m*f. Sort f, -2, 4, -1 in decreasing order.\nAnswer: 4, f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -28?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52468324 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19\/38 - -430*(-15)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 12) + 28 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0 + 0*q**2 - 1\/15*q**6 + 0*q**3 - 3*q - 1\/5*q**5 - 1\/6*q**4. Factor m(o).\nAnswer: -2*o**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 - -52. What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*u + 202*u + 20 = 0. Let m(g) = 7*g**2 + 6*g - 27. What is the hundreds digit of m(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*s**4 - 9027*s**3 + 361947*s**2\/4 - 58821*s\/2 + 2430 = 0. What is s?\nAnswer: 1\/6, 10, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117547289?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48511791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33007 = -4*i + 5*k, 0 = -4*i + 54*k - 56*k + 32986. What are the prime factors of i?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4929.97 + -4893. Let x = b - 1.47. Let d = x + -36. Sort 2\/3, 0.5, d.\nAnswer: d, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/54 - 86\/(-18). Suppose v*k - 24 = -k. Suppose 9*u - 45 = k*u. Let f(q) = q**3 - 9*q**2 + q. Determine f(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-7)\/42*(-16)\/(-6). Let i = -14\/45 + w. Which is the nearest to 1? (a) 4 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0 - m**2 - 2*m + 2\/3*m**3 - 1\/6*m**4. Factor x(y).\nAnswer: -2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52.3 - -52. Which is the nearest to 0? (a) 1 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -622 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3\/11 - 197534*t**2\/11 + 2963352*t\/11 - 10668456\/11 = 0.\nAnswer: -98782, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 2:10 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 204587057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, 1, 5 in increasing order.\nAnswer: -17, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -36705380.77 rounded to the nearest one thousand?\nAnswer: -36705000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 758505893 by -5.\nAnswer: -758505893\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -358 - -354. What is the fourth biggest value in 1, -3, p, 11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:27 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 936242748 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 40. Suppose -6 + 21 = 5*b. Suppose -24 = -5*o - f, -b*o + 4 = 2*o - 4*f. Put s, -3, o in increasing order.\nAnswer: -3, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 11*r + 26. Let q be x(-13). Let l(j) = 5*j - 1. Let w be l(-1). Let z be 2*(-2)\/8*w. Solve q = 4*t + z + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3766)\/154 + 13 + 12?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 7:18 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*h = -157*h + 840. Solve -21*d = 12 - h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499 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 n(c) = -c**2 + 60*c + 428. Determine n(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 448 + 619. 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 rth term of -47, -85, -111, -119, -103?\n\"Answer: r**3 - 45*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -762, -1596, -2430?\n\"Answer: -834*p + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, m: 3, x: 1, l: 4, b: 1}. What is prob of picking 1 b, 1 x, and 1 l?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305939 is divided by 152507.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 4.\nAnswer: -12, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 0, 4.\nAnswer: 0, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/(-18) - 2) + 42022\/12240. Let k = f - 62\/17. Is 0 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**2 + 12*w. Let d(k) = -k**2 - 2*k. Let i(b) = 6*d(b) + f(b). Let o(s) = -186*s**2. What is i(o(z))?\nAnswer: 34596*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48644)\/36 + (-4)\/(-18). Let m = -873 - j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.03 (b) 0.01 (c) -0.4 (d) 0.1 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64553 - 29447 = -25*d. Is (d - -3 - 6) + 6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -337752 + 12856*f + 337752 as g*f + q and give g.\nAnswer: 12856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*o + 292*o - 3*p = 587*o - 27, -o + p - 11 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/7 - 64*p**2\/7 - 320*p\/7.\nAnswer: 4*p*(p - 20)*(p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(6*19 - -4). Let a = -1328 + 1329. Which is bigger: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17663295*f**2 + 17663295*f**2 - 40*f**3.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*j + 8. Is 310\/8 - 1\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -529 + 2633\/5. Which is bigger: w or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = -3*t. Let g be t\/3 + 542\/6. Suppose -g = -3*l - 10. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.326 - -67.174. Let i = -65 + q. Let y = i + -2.6. Which is the closest to 2\/9? (a) y (b) 4\/7 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + s**3 - 29 - 271*s**2 - 1161*s**2.\nAnswer: s**3 - 1432*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i**2 + 98*i - 744. Let s(j) = -9*j**2 + 70*j - 496. Determine -5*q(o) + 7*s(o).\nAnswer: 2*o**2 + 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose 2 = g - r. Suppose -g + 1 = -2*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, 40, 106, 172, 238?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11895 rounded to three dps?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*c**2 + 477*c**2 - 237*c**2 - 10 + 4*c - 209*c**2.\nAnswer: -221*c**2 + 4*c - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a day?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 - -75. Suppose 0*o - 5*o + 275 = z*x, 5*o = 3*x + 240. What is the highest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28462 and 1596.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:33 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1, 16\/323 in decreasing order.\nAnswer: 1, 16\/323, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 74*v. Let m(t) = 24*t**2 + 3*t - 102. Let k(i) = 47*i**2 + 7*i - 238. Let l(d) = 6*k(d) - 14*m(d). Give a(l(o)).\nAnswer: -3996*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -191, -15.2, -0.08?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3242 bigger than -3242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 1490 = -782. Does 33 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 0.01, 3\/2, -0.0307?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-5) - (-247)\/45 and -64\/51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283460 - 18944660?\nAnswer: -19228120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*sqrt(3)*-1.\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 138 = y, -20*y + 95*x + 100 = 92*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (-16 - 2)*780\/(-1404)*(-1)\/(-5)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/47 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117658 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708810 is divided by 354156?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38863326 divided by -246\nAnswer: -157981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19691b (base 12) in base 7?\nAnswer: 3541424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -768076 divided by 13\nAnswer: -768076\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67816709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**3 - a**2 + 10*a + 17. Does 7 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32225 - -0.13?\nAnswer: 32225.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000937733 rounded to six dps?\nAnswer: 0.000938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354458 divided by -17?\nAnswer: 79674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 94. Let z(i) = -6319*i - 2. Give z(f(l)).\nAnswer: 6319*l + 593984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**4 + 4*s**4 + 4*s**6 - 12*s**4 + 12*s**2 + 3*s**4 wrt s?\nAnswer: 480*s**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/(-80)*34\/(-255). What is the second biggest value in 3, k, -10, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.347 + 0.347. Let g = 0.3 - -0.2. Let j = 0.08 + 3.92. Sort v, g, j in descending order.\nAnswer: j, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 119*z - z**3 - 748 + 113*z + 112*z - 345*z to the form q*z**3 + t*z**2 + n + b*z and give n.\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 1416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 0 + 1 - 4 + 2. Let j(w) = -w + 4. Determine 6*c(i) + j(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/(-36))\/((-3)\/(-100)*2) and 29\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 17. Let p be d(14). Factor 19*t**p - 20*t**3 + t**5 + 0*t**5.\nAnswer: t**3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*a + 5 = 3, -2*a - 3 = -3*y. Calculate the highest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 + 9*q + 2. Let v be s(4). Let w = -82 - v. Solve -c - 4*l + w = 3*c, -c + 5 = 4*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - u + 55, 2*u - 10 = -0*u. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a kilogram in grams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*b + 55*b = -4640. Calculate the highest common factor of 29 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*160\/(-360)*-243.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 17*q**3 + 2*q + 17. Let a(i) be the first derivative of -3*i**4\/2 - i**2\/2 - 6*i - 13. Give -11*a(n) - 4*u(n).\nAnswer: -2*n**3 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-3))\/((-24)\/36). Let v(d) = 10*d**2 + 7*d - 7. Let r(y) = 5*y**2 + 4*y - 4. Give h*r(q) - 4*v(q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.4. Suppose 2898*u + 1606 = 2920*u. Is i >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4822 rounded to one decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10175 and 19145?\nAnswer: 38960075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a + 2. Let n = 154 + a. List the prime factors of n\/20 - (-2)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961951 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*q + q. Let t(r) = -17*r - q + 0*r**2 + 15*r + r**2. List the prime factors of t(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1769993 and 9?\nAnswer: 15929937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604410.\nAnswer: 2, 3, 5, 20147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**5 - 137*g**4\/2 - 53*g**3 + 35*g**2\/2 = 0.\nAnswer: -1, 0, 1\/4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 8*q**2 + 9*q**2 + 0*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*h - 494*h + 292*h**2 - 982*h**2.\nAnswer: -690*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2128.\nAnswer: -1\/1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 36*b**2 + 76*b - 14. Let r(j) = -21*j**2 - 38*j + 8. Give 4*f(m) + 7*r(m).\nAnswer: -3*m**2 + 38*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -167, -324, -589, -1004, -1611, -2452?\nAnswer: -3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-52\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -29*f**2\/4 - 6396089*f\/2 + 1323330 = 0?\nAnswer: -441110, 12\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-26\/5)\/b))**(-1\/15))**(2\/9) assuming b is positive.\nAnswer: b**(-62\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**3 - 2*g**2 + 3*g - 3. Does 10 divide r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.138766 rounded to 4 dps?\nAnswer: 0.1388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*m + 2 = 0. Let n be -32 + ((-1)\/1 - m). Let r = n - -43. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89423 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 500785669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84587.93 centuries to decades.\nAnswer: 845879.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/33 - 2\/(-2). Let l be 1734\/850 - 5\/125. Let -z*f + 0*f**l - 4\/11 + 2\/11*f**3 = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 - 57*z + 135)*(2 - 2 + z**2 + 4*z - 4*z - 2*z**2 + (4 + z - 4)*(-1 + 1 - 2*z)).\nAnswer: 171*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12099 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(4 - 1)\/(-3). Suppose -10 = -4*t + 3*d, -387*t - 3 = -382*t + 4*d. Solve 0 - t = -z*p - 5*q, 13 = 5*p + 2*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*k + 2*k + 45. Let t(f) be the second derivative of -1\/2*f**k - 5*f - f**2 + 0. What is the first derivative of t(q) wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146100159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -33*n**2 - 9*n. Let h(x) = 15*x - 100. Let i(j) = -451*j + 3025. Let w(f) = -121*h(f) - 4*i(f). Calculate p(w(k)).\nAnswer: -3993*k**2 + 99*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1112498*s. Let i(l) = 6*l**2. Calculate v(i(h)).\nAnswer: -6674988*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2 - 80826987*o + 80826990 = 0.\nAnswer: -26942330, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 13*v**2 + 21*v + 4. Let y be t(-11). Let b be 555\/3*y\/25. Let l = -108 + b. What is the least common multiple of l and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286 - 286 + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 264379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3 (c) 21\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = -0*o. Let t(h) = -2*h**o + 3*h**2 - 3*h + 10*h + 12. Let m be t(-8). Solve 4*u + 8*w - 5*w = 25, -4*w + m = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 + 483*b**4 - 3483*b**3 + 7521*b**2 - 6540*b + 2016 = 0.\nAnswer: -168, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 2) + 11 - (152 - 123)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = -2*w + 14, -w - 28 = -4*z. Suppose -z*x + 3*x = -20. Calculate the remainder when 13 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 2*l - 7. Let i be k(-7). Let z = -1066\/9 - i. Find the common denominator of -48\/11 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-3) - -14) + -4. Let o be (-36)\/20*8\/12*n. Let z be (-3)\/(-1 + 3\/o). Solve -4*g - d + 1 = -5*g, -10 = 4*g - z*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51063109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2020 (b) 0.4 (c) -4 (d) -3.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 15. Sort -5, -1, p in decreasing order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160651.4m in micrometers?\nAnswer: 160651400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Suppose -5*x + 3*x = -v*d - 667, -2*d - 332 = -x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -25.67316?\nAnswer: 25.77316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/6)\/(231\/198) - 6\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/3, 2.4, -13, -0.4, -5, -3, 2193?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1\/2, -0.466, 0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1002200200?\nAnswer: -1002200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and ((-24)\/14)\/((-418)\/(-140) + -3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -1\/12*m**3 - 1\/12*m**4 - 3*m + 0 + 0*m**2 - 1\/40*m**5. What is d in u(d) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*b = -2992, 0 = 4*l - 2*b - 5156 - 828. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 9369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5771965*l**3 + 63496*l**2 + l + 24.\nAnswer: 34631790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 720*x**4 - 780600*x**3 - 10121155*x**2 - 16585470*x - 7300535 = 0?\nAnswer: -11, -11\/12, 1097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -878931, -878932, -878933, -878934?\nAnswer: -878935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 263830 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -5*i - 114. What is the common denominator of i and -37\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpmrpppimpmpmrrp. Give prob of picking 1 i and 2 p.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iibsjkibss. What is prob of sequence bijb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2501, 5056, 7611, 10166?\n\"Answer: 2555*i - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 + 29*g**3 - 9*g**3 - 10*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 4. Let b be p(-22). Suppose 7*d = 10*d - b. Solve 0 = -12*o + d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184590 divided by -184590\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -0.09948836843?\nAnswer: 0.49948836843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 5*a - 10. Determine p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sajajsjajasasas. Give prob of picking 2 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:03 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-1\/24)*u))\/u)\/u)**(-3) assuming u is positive.\nAnswer: u**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -287.4242 to one decimal place.\nAnswer: -287.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, o: 1, k: 1, g: 2, e: 1}. What is prob of sequence ogek?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3195880 and -33?\nAnswer: 3195880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 91, 97, 117, 157, 223?\n\"Answer: o**3 + o**2 - 4*o + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1968865785 - -7.\nAnswer: 1968865792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 485688 and 193992.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 468 and 45890?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*k + 6 = 0, -5*q - 5*k + 19 + 1 = 0. Let r = 106 - 740\/7. Which is the nearest to r? (a) -0.1 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1674 - -1674. Solve t + 0*t - 1 = v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008203828556 to five dps.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 g when four letters picked without replacement from wwgggw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/42 and 23\/469.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppmpfmp. Give prob of picking 1 m and 2 p.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390367.\nAnswer: 11, 126397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*x - 1567 - 1634 = 0 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9299323*b**4 - 15513630*b?\nAnswer: -111591876*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 4*b**2 + 4*b - 14. Let t be n(3). Solve -t*q + 4 = 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 5 (c) -1\/5 (d) -1 (e) -192 (f) -2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 - -160?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2820 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 498462 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + k + 13. What is z(8)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30291 and 677831804?\nAnswer: 10097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) + 21\/462*-45. Suppose -3*p + 8 = p. Let u = -3 - p. Which is the nearest to -0.2? (a) u (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (0 - 23) - (-1 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133161658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*t - 195*t - 148*t)*(-2*t + 2*t**3 + 2*t) + (5*t**4 + t**4 - t**4)*(4 - 4 - 2).\nAnswer: -954*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -13. What is the smallest common multiple of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.625\nAnswer: -0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287538?\nAnswer: 2, 3, 17, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j**3*q**3 + j**3 - 2*j**2*q**3 + 8*j*q**2 + 34813*q**3 + 281804*q wrt q?\nAnswer: -36*j**3 - 12*j**2 + 208878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (113\/(-24747))\/(31\/(-93)).\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 29, -0.09 in descending order.\nAnswer: 29, 4\/3, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 0 + 0 - k**2 + k - k + (-1 + 1 - 1)*(0*k**2 - k**2 + 2*k**2) + (-4*k - 2*k + 5*k)*(696*k - 354*k - 442*k) to w*k**2 + j*k + f and give w.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**3 - 2*o**2 + 5*o - 5. Suppose 293*s + 780 - 798 = 1447. Let b(t) = -t - 4*t - t - 8*t**3 + 2*t**2 + 6. Calculate s*b(p) + 6*y(p).\nAnswer: 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssccsss. What is prob of sequence sscs?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**3 - 5062150*v**2 - 1281126379165*v + 71758953013720 = 0?\nAnswer: -506243, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -83.\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(1\/3)*j)**(-33))**38 assuming j is positive.\nAnswer: j**(-4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:59 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 98.24907 months?\nAnswer: 8.1874225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.05 rounded to 0 dps?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1149*0.745\nAnswer: 856.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/2)*v)\/v)\/v)**(-1\/47)*(v**(-1))**31 assuming v is positive.\nAnswer: v**(-2911\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7 - 655*o - 63 - 62 - 24.\nAnswer: -655*o - 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/24)\/(((-12)\/56)\/((-320)\/(-112))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/22 or 1091?\nAnswer: -21\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnkk. Give prob of sequence kn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 5657?\nAnswer: 62227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -225003403052 + -1?\nAnswer: -225003403053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*i - 24*i**2 - 2 + 2 + 25*i**2 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (129\/(-172))\/(7*2\/392)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1230102 (base 5) to base 3\nAnswer: -1012121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 - 540. Suppose 45 = h + 741. Let t = j - h. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/(((-1560)\/25)\/24)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhyy when four letters picked without replacement from {q: 7, y: 3, h: 7, b: 2}?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 98*h + 632 = 136, 2*h = -4 - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73327.0860028 - -73327. Let o = -0.016 + -0.07. Let v = o - l. What is v rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 0 - 13*q + 1\/6*q**3 + 23\/2*q**2. Let v be p(-7). 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: 175444 divided by 87722\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2. Let h(z) = -162*z + 87*z + 28*z - 1. Determine h(b(p)).\nAnswer: -47*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5020 + -4906. Solve -93*s + g*s = 84 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*sqrt(4200) + sqrt(42))\/(sqrt(6) - sqrt(12)\/sqrt(18)))**2*4.\nAnswer: 22743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04659 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -1\/60*j**5 - 1\/3*j**4 + 0*j - 4*j**2 - 2\/3*j**3 + 0. Is r(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -0.62. Let x = -1.5 - j. Let f = x + 0.92. What is f rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 643*g**2 + 3231*g + 5826. Determine w(648).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 24 - 28*a - 92*a + 14*a + 84.\nAnswer: -2*(a - 1)*(a + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:34 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 3:06 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1187 - 14287\/12. Calculate the common denominator of -17\/12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 151*k**2 - k. Let g(o) = 52829*o**2. Determine x(g(l)).\nAnswer: 421426389391*l**4 - 52829*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1493758 is divided by 79.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0920257 - -0.29.\nAnswer: 0.3820257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Let i be (v + (-4)\/(-6))*3. Suppose 3*z - 29 = -i*f, -2*z - 2*f = f - 20. What is the remainder when 25 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 = -2. Suppose -6*h + 19 + 101 = 0. Let f be h\/(-6)*(-66)\/(-55). Sort r, 1, f.\nAnswer: f, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 85?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*d + 26. Let a(f) = 2*f + 23. Let l be a(-10). Suppose -l*o = -o - 18. What is the greatest common divisor of d and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -790.9 and -253678.8?\nAnswer: 252887.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -2. Let i be (2\/q)\/(2\/(-6)). Sort i, 3, 2\/15.\nAnswer: 2\/15, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -3. Let l = -22 - -33. Let p = l + -12. Is r at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)\/d*d*d)**(-16)*d**(1\/4)*d\/d**1 assuming d is positive.\nAnswer: d**(-569\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596638 to the power of 1\/2, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 53*z + 35. Let o(u) = -103*u - 68. Calculate 7*j(r) + 4*o(r).\nAnswer: -41*r - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2442 = -8*f + 3502. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24117 + -23952. Calculate the greatest common divisor of 561 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfbd when four letters picked without replacement from ffbddddddbfdfddd.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 3. Let r(a) = -1. Let q(z) = z**3 - 2*z**2 - 8*z + 4. Let m be q(4). Calculate m*r(p) + i(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10)*15\/24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -76\/105?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.002*870.95\nAnswer: 1.7419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 903 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*o + 1042, 0 = -5*t + 5*o - 42 + 1782. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2870*k + 390363. Give c(-136).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 8*l - 2. Let i be p(-4). What is the second biggest value in 5, i, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -2*z - 1\/2*z**2 + 0*z**4 - 2\/5*z**5 - 1\/6*z**3 + 0. What are the prime factors of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 37. Suppose 37 = 5*p - 3*c, -4*p - 3*c + 33 = -2. Is 10 a factor of (-18)\/i*(p + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 78, -2358 in increasing order.\nAnswer: -2358, -3, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, -8, -2 in descending order.\nAnswer: 0.2, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -350, -0.2, 11, -5053 in increasing order.\nAnswer: -5053, -350, -0.2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 12*q**3 - 548*q**2 - 420*q + 10192.\nAnswer: 4*(q - 13)*(q - 4)*(q + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -486, 1489, -9, -2 in descending order.\nAnswer: 1489, -2, -9, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-176) + (-129)\/(-120).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12\/5*g**2 - 2*g + 0 + 8\/5*g**3 + 12\/5*g**4 + 2\/5*g**5 = 0. What is g?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 10. Let f be x(10). Let j be (1 - f)\/(16 - 15). What is the units digit of (j - 0) + 265\/(-15)*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(117))**2 - (sqrt(13) - (sqrt(39)\/sqrt(3)*5 - sqrt(13) - sqrt(13))**2).\nAnswer: -sqrt(13) + 3042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 plus -1317?\nAnswer: -1316.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8153460 by -54.\nAnswer: 150990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -560 + 548. Let p be (54\/2754)\/(2\/x). What is the smallest value in 0.5, 0, p, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*f + i - 20, 0 = -f - 5*i + 27. Suppose -2*c - 2 = 8, 2*g = -5*c - 25. Solve j = f - g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/180?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440 by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 10\/4)*-4. Let k be -4*h\/(-6168)*3. Let q = k + 1282\/771. Which is the second smallest value? (a) q (b) 1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = 0. Let l(h) be the third derivative of -h**4\/24 + h**3\/3 + h**2. What is l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Let w be d\/9 + (-100)\/126. Which is the nearest to 5? (a) -4\/9 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/(-6) - -2)\/((-8)\/((-736)\/(-230)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - -120?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9731*f - 8. Let s(a) = 9718*a + 7. Calculate -7*s(o) - 6*w(o).\nAnswer: -9640*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/6*9\/6. Let o = -22.8 - -17.8. Let k = 691\/4 - 173. What is the smallest value in k, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + 68. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Let p = q - -3. Suppose -5*z + 39 = -4*y - 94, 54 = 2*z - 2*y. Solve 5*m = 3*v + 31, -z = -p*m + 4*v + v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 695959, 695962, 695965?\nAnswer: 695968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 962 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g - 11 + 11)*(7 - 9 - 5)*(-2*g - 2*g + 2*g) to the form j + b*g + s*g**2 and give s.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 + -16.2. Let c = 20 + d. Let g = 2 - c. Sort g, -1, -4.\nAnswer: g, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = r - 33, r + 6*f - 5*f = 31. Is 13 a factor of r\/3*4\/(-10) + 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.559138cm?\nAnswer: 0.05559138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 10360.\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 0*z**3 - 6*z**2 - 7*z - z**3 + 4 - 3. Suppose 2*i + 2*f - 68 = 0, -2*f + 6*f + 56 = 2*i. Calculate the remainder when i is divided by l(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-8))\/(7\/28). Let s = -12.53 - -9.53. What is the second biggest value in -1\/4, s, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913 equal to 6906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.48526246 to three decimal places.\nAnswer: -1.485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 5*d**4\/24 + 2*d**3\/3 + d**2\/2 - 2*d. Let c(o) be the first derivative of b(o). Is 16 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 19075624.\nAnswer: 362436856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 45*k. Let g(i) be the second derivative of -i**4\/4 + 251*i. What is u(g(x))?\nAnswer: -18*x**4 + 135*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2196 + 1065?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, q: 1, v: 1, z: 1, e: 2, c: 2}. Give prob of sequence rev.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 10*h - 1. Let u(g) = -2. What is -l(o) + u(o)?\nAnswer: 2*o**2 + 10*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3828 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1, -168, -1.1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*d - 0*u - 4, d - 4*u + 16 = 0. Solve -2*h + 6 = -d*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3904302855 to the nearest integer?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**5\/60 - 6*a**3 - 37. Let q(f) be the third derivative of o(f). Let m(p) = 12*p**2. What is q(m(r))?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13051410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1159 and -0.02745.\nAnswer: 31.81455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22793 + 22793 - 2535*b)*(2*b**3 + 0*b**3 - 3*b**3) to t*b + s + n*b**2 + a*b**3 + c*b**4 and give c.\nAnswer: 2535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 79c0 (base 13) to base 11\nAnswer: 118a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**4\/24 + 571*m**2 + m + 4. Let r(o) = 5*o + 903. Give b(r(z)).\nAnswer: 5*z + 903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120022 - -1?\nAnswer: 120023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11873\/4 + -2968. What is the closest to t in 1, 13, -2\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5473946 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -594, -371, -150, 69, 286, 501, 714?\n\"Answer: -r**2 + 226*r - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*h + 135 = -122 + 23 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 4 + 5 + 1)*(-o**4 + 5*o**4 - 2*o**4) - 2*o**5 - 2*o**5 + 6*o**5 + (0*o + 0*o - 2*o**3)*(0 - o**2 + 0) + 2*o**5 + 2 - 2.\nAnswer: 4*o**5 + 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.92 + 14.86. Let j = 8 + -13. Which is the biggest value? (a) i (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkdukuc. What is prob of sequence uc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-4)*468\/65. Let t(h) = 4*h + 2. Let z be t(4). Let w = p - z. Calculate the smallest common multiple of w and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/6)\/3*(-42)\/630?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.054930675 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(104)\/sqrt(2))\/(sqrt(4) + 6*sqrt(12)\/sqrt(3)) + (-6*sqrt(65)*-1)\/((sqrt(50)\/sqrt(5) + sqrt(10))\/sqrt(2)).\nAnswer: 16*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**7\/56 + 2*j**6\/5 + 87*j**5\/80 - 65*j**4\/8 - j - 131. Let f(l) = 0. What is l?\nAnswer: -13, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 11:52 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:24 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*o - 18, -o = 1 + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*v - 1)*(v - 12 + 12) + (20 - 20 - 20*v)*(4*v - 3*v + 0*v).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/208298 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2604134785958 + -25.\nAnswer: 2604134785933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1810603\/66 + -27432. What is the common denominator of 35\/54 and b?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 14. Suppose -4*v - 26 = -2*l, a*l - 51 = -v + 3. Suppose -2*g + 68 = 6. Calculate the remainder when g is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -9493647\nAnswer: 56961882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/4 - 32300*b + 1043290000 = 0. Calculate b.\nAnswer: 64600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/8, -12, 9, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 26880 = -34*s. Let w = s + -3355. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.85 in 1, -5, -144.51?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 689844, 689843, 689842, 689841, 689840, 689839?\nAnswer: 689838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48746 + 20842 = 12*z. What are the prime factors of z?\nAnswer: 3, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 1 + -8 - 4) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 23*a + 7*a - 4*a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 1, q: 1, a: 2}. Give prob of picking 3 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3416935538049 + -1\nAnswer: -3416935538050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 893, 1334, 1775, 2216, 2657?\nAnswer: 3098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*o, 0 = 2*l - 4*l - 2*o. Solve -3*a + 8*a - 25 = l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2 + 85*c + 89. Determine y(22).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 591*a**2 - 2403*a + 1809.\nAnswer: 3*(a - 3)*(a - 1)*(a + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3122.01 - -3122. Which is the nearest to -5? (a) 2\/5 (b) x (c) 0.23 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56337, -225141, -506403, -900123, -1406301?\n\"Answer: -56229*m**2 - 117*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -180 - 3\/2*c**2 + 129\/2*c.\nAnswer: -3*(c - 40)*(c - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*f**2 + 1694032*f**3 - 48*f**2.\nAnswer: 1694032*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((5*sqrt(120)\/sqrt(3))\/sqrt(8) + 3) + 0 + (sqrt(80) + 5 - (4 + sqrt(180))))**2.\nAnswer: 28*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -456 = -457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101000111011 + 100?\nAnswer: -10000101000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2779639 times -0.014?\nAnswer: 38914.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.77 + 10?\nAnswer: 11.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**3 - s**2 + s**2)*(5 - 3 - 1) - 13347*s + 2383*s**3 + 13347*s + (-1 + 3*s**3 + 1)*(1 - 2 + 2) as a + m*s**3 + v*s**2 + t*s and give m.\nAnswer: 2387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.773228 kilometers in micrometers?\nAnswer: 2773228000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 50 = -2*p, 0 = 3*p - 5*c + 109 - 21. Let y = 43 - p. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2\/3*g**2 + 2\/9*g**3 - 2\/9*g + 4\/9 + 2\/9*g**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000010000 + 1?\nAnswer: -111000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11038, 88215, 297630, 705385, 1377582?\n\"Answer: 11017*l**3 + 17*l**2 + 7*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -1. Let d = 13 + n. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(9 + 3 - 14)*((0*p**2 + p**2 + p**2)*(2*p**3 + 0*p**3 - p**3) + 0*p**5 - 3*p**5 + 2*p**5).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2266 - 3?\nAnswer: -2271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000717784032 rounded to seven dps?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*m = -18, 5*m - 13 = 7. Find the third derivative of y**4 + 2*y**4 - 117*y**2 - y**2 - 7*y**4 + u*y**3 - 7*y**3 wrt y.\nAnswer: -96*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -7*w - 140. Suppose 4*z - 3*b - 58 = -8*b, -2*z - 2*b + 28 = 0. Calculate the remainder when w is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24792*b**4 - 229*b**3*k - b**2*k + 114*b**2 + 7*b*k + 1901*k wrt b.\nAnswer: -595008*b - 1374*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27039, 53209, 78513, 102951?\nAnswer: 126523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -3\/2, -0.1, -0.43, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 32*g**2 - 3*g + 99. Let k be f(32). Suppose -3*s - 3*u - 208 = 53, s - k*u = -95. Is s >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/4642295?\nAnswer: -9\/4642295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51126 + -357167\/7. Let r = 102 - z. Let o be (7\/(252\/16))\/((-14)\/21). What is the closest to o in 1, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-950) + 106\/1325*-1?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2422 + (2 - 1))\/(-4 - (-27)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -32 times 249817.77?\nAnswer: -7994168.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -4, 55\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 100. Let y be 305\/x - 1\/4. What is the highest common divisor of y and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - -2.4. Let k = -12 - -15. Suppose k*a = -0*a + 2*t, -5*t - 7 = -4*a. Put 1, x, a in increasing order.\nAnswer: a, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwww when four letters picked without replacement from wcwwcww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 161*q - 161*q - q**3 + 0*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -578*u**3\/9 - 952*u**2\/9 - 392*u\/9 = 0.\nAnswer: -14\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**4 - s**3 + s**2 - 1. Let g(l) = -38*l**4 + 4*l**3 + 23*l**2 + 4. Let d(u) = g(u) + 4*y(u). What is the third derivative of d(p) wrt p?\nAnswer: -816*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*f + 2*i, -f + 12 = -2*i. Suppose f*z = 3*p - 28, -4*z + 0*z - 24 = -2*p. Suppose -p*h = -37 - 3. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-8)\/6)\/1)\/((-760)\/(-60)). Which is the second smallest value? (a) -0.3 (b) d (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/96)\/(((-1700)\/30)\/(-2))\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 27. Determine w(-18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2 - (-7 - (2 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (624\/(-2304))\/((-312)\/32)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534752521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 155831 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22795 and 268370?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1175060400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, -13, -52, -109, -190, -301, -448, -637?\n\"Answer: -l**3 - 20*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137.5 - 23.5. Let j = s + -113.7. Which is smaller: j or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**4 - y**2 - 2. Let w(x) = 190*x**4 - 304*x**2 + 5. Let j(f) = 2*g(f) + w(f). What is the third derivative of j(n) wrt n?\nAnswer: 4512*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**8\/6720 - 11*k**5\/60 - 20*k**2. Let x(s) be the third derivative of t(s). Let g(i) = 14*i**2. Determine g(x(b)).\nAnswer: 126*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 22. Let k be (2 + (4 - 11))\/1. Let o(j) = j + 11. What is k*o(q) + 3*b(q)?\nAnswer: q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(50) - (sqrt(2) - ((sqrt(4)\/sqrt(2)*2)**2 - sqrt(2))))*2.\nAnswer: -34*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/61)\/(((h*h\/(h\/(h*h\/(h\/(h\/(h**4*h))))*h*h)*h*h)\/h)\/h*h)*h**(1\/8)\/(h\/h**(4\/15)*h))**(1\/9) assuming h is positive.\nAnswer: h**(10427\/65880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + m**2 + 1. Let g(w) = -6*w**3 + 5*w + 4. Let h(n) = -5*d(n) + g(n). Calculate the remainder when 14 is divided by h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(847))**2.\nAnswer: -851 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274 - -2664. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5064 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 11*r**2 - 22*r - 12. Determine t(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4*4)\/((-18)\/621). Is -70 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44 + 2\/(-2) - 0. Let l = -31 + q. Let t be 1 - 2 - -2*(1 - -1). Solve -t*k + 3 = l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-8))\/((-2)\/8). Let g be (-35 - (0 - -5))\/(-2). Suppose -4*j = -5*f + 16, g = f + 4*f - 5*j. Solve 4*s - k*s + 10 = f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 105. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741024633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 4*t**2 - 3*t + 1. Let x be c(2). Suppose x + 1 = y. What is the second derivative of -7*d**5 - 6*d**3 - 14*d + 2*d**3 + y*d**3 wrt d?\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917676589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31333 is divided by 31315?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = -9 - 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 58 = 38*l + 12*l. Let y(z) = -z - 1. Let x(s) = 21*s + 7. What is l*x(t) - 6*y(t)?\nAnswer: -15*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -794.98 rounded to the nearest 10?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o**2 - 370*o + 28. Calculate the remainder when 47608 is divided by x(-41).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -5\/3, -2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b24073 (base 14) in base 6?\nAnswer: -332404101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-7)\/(-105)*15. Put 1, -3, n, 2, -52 in ascending order.\nAnswer: -52, n, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 18}. Give prob of picking 1 y and 3 g.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 177*g**3 + 3*g**2 - 6*g + 4. Let a(q) = -q**3 - 7*q**2 - 9*q - 1. Let s be a(-1). What is the hundreds digit of o(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4855462 - 56663241599\/11670. Find the common denominator of r and 37\/10.\nAnswer: 11670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 26. Let v be 0 + 0 + -12 + d. Let o be (232 + v)*2\/(-4). Round o to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 100*l - 115*l - 3.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3991.\nAnswer: 5\/3991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.9433 rounded to 0 dps?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.5268468 meters?\nAnswer: 0.0005268468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 7 = 6*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Suppose u + 2 - r = 0. Suppose c = p + 4, 2 = -5*c + u*p + 25. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 112*v**4\/3 - v**3 - 5*v**2\/2 - 12*v. Let h be k(5). Suppose 19*t - 54138 = h. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 1220*q - 2460.\nAnswer: 5*(q - 2)*(q + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22352903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from kkyjyjkusyckccs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 3*u**6\/5 - u**5\/60 - u**4\/8 + 2*u**3\/3 - 21*u**2. Let h be a(1). Calculate the greatest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 491135205 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31\/3 - 10. Suppose -3\/2*o + y + 2\/3*o**2 = 0. What is o?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 654\/(-8)*(-88)\/(-66). Let v = 143 - j. Calculate the remainder when v is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/7, -3\/20, -36.2, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1929 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 1332. Let q(c) = 2*c**2 - 3*c + 7. Give r(q(z)).\nAnswer: -4*z**2 + 6*z - 1346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r + 4, 2*r - 184 = -o. Suppose 22*g - 399 = g. Calculate the remainder when o is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + 1 + sqrt(19) + sqrt(19) - sqrt(19)) + -2.\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0 + 12. Suppose s = -5*c + 285, y*c - 285 = -2*c - 3*s. Suppose -5*j - c = -6*j. What is the remainder when j is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*y**4 - 23*y**3 - 3999*y**2.\nAnswer: 768*y - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-79)\/57749*-129*-4?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(((-6)\/(-12))\/(20\/(-55)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3453 - 3458. Sort 12, j, 4 in descending order.\nAnswer: 12, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-19)\/(-57)*2\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -12 + 25 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13131 (base 4) in base 8?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 13 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 4:27 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0. Let i = 43912.4 - 43905.4. Let p = 2 + -2. Sort g, i, -5, p.\nAnswer: -5, g, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 1) + -223 + 229.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + g**4 + 3*g**2 - 2*g + g**4 + 2*g + g**4 + 12*g**4 - 3*g**4 + (4*g - 4*g + g)*(-g**2 + g**2 - g**3).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 38*v**2 + 60*v.\nAnswer: 2*v*(v - 3)*(v - 2)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*s**3*v**2 + 5*s**3*v - 2*s*v**2 + 5*s + 11 wrt s.\nAnswer: 126*s*v**2 + 30*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -1\/14, -142, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjqjfjjjfqj. Give prob of picking 1 q and 2 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (6 - (4 + (-5 - -6)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14853 is divided by 369?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n + 6. Let k(p) = -p - 4. Suppose 0 = -u + 2*u - 2. Suppose -4*a - 10 = -u*j, 0*a - 2*a + 15 = 3*j. Let b be k(a). What is g(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (162\/(-72))\/(2\/(-1216)). Suppose q*j = 1375*j - 3787. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33459764 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 41a0 (base 13) to base 16\nAnswer: 237f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3214404 + 2?\nAnswer: 3214411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 335 + -338. What is the nearest to -1\/5 in h, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.629657 millilitres?\nAnswer: 0.002629657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(12\/(-4))*14\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106189140?\nAnswer: 2, 3, 5, 17, 104107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -5*q**4\/4 + 95*q**3\/3 - 30*q**2 - 540*q - 206. Solve r(p) = 0 for p.\nAnswer: -2, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -45. Suppose 0 = -c*p - 2*j + 3365, 5*j = 8 - 3. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.98 - 2. Let l = o + 0.05. Let g = l + -0.03. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/14671160 and -73\/1812?\nAnswer: 44013480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/85 and 49\/3?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -93, -139, -185, -231, -277?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -m - 6*m. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3000 divided by -15.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + -0.61. Let a = j - -0.3. Which is smaller: a or 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*l - 308*l - 168 = 0. Calculate the common denominator of (58\/(-8))\/((-272)\/l) and -85\/4.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1964 + -1114. List the prime factors of m.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Determine k so that 3*k - v*k**2 + 5*k**2 - 2*k**2 - 3*k**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0391 and -0.2.\nAnswer: -0.1609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 561335 (base 8) to base 4\nAnswer: 232023131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -584 - 0?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 - -2203320030?\nAnswer: 2203313230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 49*m + 932. What is j(-18)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 4*q + 158, 4*b + 7529*q - 7533*q = 144 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 3957 = 1153. Let z = n + 671. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -38*x**3 - 2*x**2 - 2*x - 49. Let f(u) = -38*u**3 - u**2 - u - 48. Let s(p) = 2*c(p) - 3*f(p). Find the second derivative of s(w) wrt w.\nAnswer: 228*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {u: 2, c: 5, w: 2, o: 3}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*c**4 + 5 + (-1 - 2*c + 1)*(4*c**3 - 3*c**3 - 3*c**3))*(-2 + 79*c + 91*c - 86*c).\nAnswer: 504*c**5 - 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, o: 1, e: 1, p: 4, u: 2}. What is prob of sequence su?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*r**2 - 2*a**2*r + 45800*a*r**2*s + a*r - 62*a*s + 2*r*s + 4*r + 3*s wrt r.\nAnswer: 6*a**2 + 91600*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15366 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: 4c (base 13) to base 6\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.19446 to one dp.\nAnswer: 23.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -118 (c) -1 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521357.\nAnswer: 521357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21240 and 53100.\nAnswer: 106200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104062, 208113, 312164, 416215?\n\"Answer: 104051*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 9:37 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 - 13*c + 1532. Give n(-19).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 594263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 27*c - 13*c)*(2 + 0 - 3 + 5*c).\nAnswer: -210*c**2 + 42*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180\/30*10183\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33984 divided by 4?\nAnswer: -8496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 13*n - 34 = -8*n, 0 = -t - 3*n - 5. Let g(k) = k**3 + 11*k**2 - 2*k - 18. Let d be g(t). Solve -1 = 4*q + d*r + 7, 0 = -3*q - r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9363*a - 8875*a + 7460*a + 9679*a + 9716*a to v*a + s and give v.\nAnswer: 27343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 528 - 512. Solve -48*m = -32*m + y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97021*n**3 + 178*n - 5 wrt n.\nAnswer: -582126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*a + 386, 0 = -4*p + 3 + 9. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2142499 and 8.\nAnswer: 17139992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 1. Let s be y(-1). Let x = 28 + -25. Which is bigger: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, 112, 329, 632, 1021, 1496?\n\"Answer: 43*n**2 + 2*n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 10. Let k be t(5). Let z be k - -2 - 8\/5. Suppose -3*r = 3*r + r. Which is the closest to -0.2? (a) r (b) z (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97415 < -97412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/179 + -1999\/1074. Find the common denominator of n and -62\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/15 - (-14)\/(-35). Solve -12 = 4*d + 4*o, -4*o + 2 = a*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5 - 40\/(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Let k(w) = w**3 + w**2 - w + 20. Let u be k(j). Calculate the highest common factor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 8*g**2 - 291*g + 380. Determine s(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3100 - 3100 - 7*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 4. Suppose -504 - 176 = -j*y. What is the first derivative of -40 - 2*t**4 + y - 34 - 30 wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/(3\/6)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 3312?\nAnswer: -3305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**5)\/x*x**(-4\/3)*(x\/x**4)\/(x\/x**(6\/11))*x**(3\/4)\/(x\/(x\/(x\/(x*x**(-7)*x*x*x))))*(x*(x*x**(1\/4)*x)\/x)**(-1\/3) assuming x is positive.\nAnswer: x**(-125\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22\/7 (b) -1\/5 (c) -0.8 (d) -6 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 14. Suppose k*w = n - 42, n + 3*w - 197 = -4*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**3 + 6*i**2 - 3*i + 1. Let c(b) = -3*b**3 - 2*b**2 + b. Let w(o) = 11*c(o) + 4*h(o). Let k be w(4). Let n = k + 83. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10292.\nAnswer: 2, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 24. Determine y(16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 17*j**2 - 15*j - 11. Let y be w(16). Solve 4*o + 15 = -y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/60 - h**4\/6 - 2*h**3\/3 + 5*h**2. Give l(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 306136328 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(11) + sqrt(176) + 1 + 3)**2.\nAnswer: 40*sqrt(11) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9 = 4*x - 1, 4*l + 2*x = 38. Let s be 514\/7 - (-4)\/l. Suppose i - 3*o - s = 0, 2*o = -0*i + 4*i - 346. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fafeaefaeaaffba. What is prob of sequence ffaa?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -225817*f - 13995841.\nAnswer: -225817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21977078, -43954159, -65931238, -87908315, -109885390, -131862463, -153839534?\n\"Answer: o**2 - 21977084*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111111100 - -110011110?\nAnswer: -101001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/3 + 6532*q**2 + 32045943*q + 1342091534\/3 = 0. What is q?\nAnswer: -9791, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 89527, 89524, 89521, 89518, 89515, 89512?\n\"Answer: -3*v + 89530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*j**3 - 2*j**2 + 68*j**3 + 81*j**3 - 20*j - 80*j**3 to the form m*j**3 + a*j**2 + s*j + u and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = 20*z + 65 + 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (-24)\/(-10))*5. Let l be (-6)\/(0 + -2) - m\/(-3). List the prime factors of 57 - -8*l*4\/32.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 - 166 + 330 - 164.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1200086 - 16?\nAnswer: -1200113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*h**2 - 230*h**3 + 189*h**3 - 3*h**6 - 41*h**2 + 0*h**6 + 46*h**2 wrt h?\nAnswer: -360*h**3 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 240\/(-60) + 25 + (-2)\/1. Suppose -m = -u - 4*b, -76*u = -81*u - 5*b + 35. Find z, given that 1\/5*z**4 + 1\/5*z + 0 - 1\/5*z**2 - 1\/5*z**u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + o**2 + 2*o**2)*(-o + 0*o - o) + (2*o**2 - 2*o**2 + 2*o**2)*(2*o + 2 - 2).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 284*w - 270*w - 112 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h + 5*z = -35*h - 10, 5*h + 5*z = 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggzggzgzggg. What is prob of sequence zgg?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 5. Let j be r(0). Suppose 10 = n + 2*g, j*g - 9 = -n + 10. Suppose n*m = 8*m - 312. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/12 - u**3\/6 + 5*u**2 - 16. Let s(t) = 22*t - 9. Let z(x) = 18*a(x) - 2*s(x). Let w(d) = 17*d**2. Calculate z(w(o)).\nAnswer: -136*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -134, -3\/7, -5\/6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -13*w**2 + 1. Let a be v(1). Find the common denominator of 38\/11 and (a\/(-10))\/(-3)*-28.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.5 + -3.1. Let a = 0.04 + -0.64. Let b = v - a. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765556?\nAnswer: 2, 3, 29, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75*j**3 + 32 - 76*j**3 + 4 wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*c + 95 - 345. Suppose -6*g + 2*g = -4*b - 24, -3*b = 4*g - 52. Suppose 4*j - g = 178. What is the remainder when j is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwzzwzzzzzwwwz. What is prob of sequence zwz?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/15 + 1)*-15. Suppose 2*n + n + 12 = 5*g, 3*n + b = 2*g. Solve -v = 3*w - 6*v + 23, g = -w + v - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-28)\/175*5)\/((-4)\/(-950)). Let o be (4028\/j)\/((-12)\/5 + 2). What is the nearest to o in 0.05, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98.104 - -98.304. Let g = 0.03 + 4.97. Which is the second biggest value? (a) -1\/12 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -180*l**2 + 2*l - 5. Let o(f) = -103*f**2 + f - 3. Let m(w) = -4*n(w) + 7*o(w). Let t(r) = 5*r**2 + r - 8. Determine -2*m(s) - t(s).\nAnswer: -3*s**2 + s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20623.\nAnswer: 41, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -561.6 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-18)*-3)\/((-2)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 0.89, -0.135, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1376.5593 minutes to hours.\nAnswer: 22.942655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = z - 3*z. Let o be (-19)\/7 - 2\/7. Let i = z + o. Is 0 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -8, 23, 104, 253, 488, 827?\n\"Answer: 3*l**3 - 2*l**2 - 16*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339010 by -10.\nAnswer: 33901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 + 3*d. Let u be z(4). Let q = -309 - -461. Let a = q - u. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3003133 - -10?\nAnswer: 3003203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -192 - -486. What is the greatest common divisor of 84 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -473\/5. Find the common denominator of h and -73\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10302987 take away 864?\nAnswer: -10303851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004306 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*(-8)\/10. Let a be 2\/(-10) - (0 - 1). Let -4\/5*y**2 - b*y**5 + 0 + 2\/5*y + a*y**4 + 0*y**3 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 97.\nAnswer: -5, -3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - o + 12. Let y be t(0). Suppose -5*g = -y + 2. Solve 9 = g*x + x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 5)*(2 - 4 + 1)*(6*m**2 - 2*m**2 - 3*m**2).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -6\/7, -4\/7, -5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Suppose -n - 78 = -i*a, 5*n = 3*a - 6*a + 70. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 76 - 16. Let r(u) = -2*u + 1. Let t be r(1). Let x(c) = c + 1. Let v be x(t). Solve -3*k = -5*h, v = h + h + a*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(605) - (sqrt(605) + (sqrt(605)*-1 - sqrt(605))))**2*3 + 3 + sqrt(605)*1 + -1 + -3).\nAnswer: 44*sqrt(5) + 29036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13756532.\nAnswer: 2, 19, 317, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 27995*z. Let o(b) = 543*b. Determine o(n(d)).\nAnswer: 15201285*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let b(l) = -321*l**2 + l - l + 315*l**2. Calculate h(b(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - -3*(-2)\/3. Let p be -2 - -3 - (-1 - o). Differentiate -6*u + p*u + 3*u**2 - 1 wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**2 + 9*o + 12*o - 13*o**2.\nAnswer: 3*o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + b + 2. Let j be a(0). Suppose -3*l + 4 = -l. Determine d, given that 0 - 2*d**l + j + d + d**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n**2 + 28*n**2 - 68*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -9. Calculate the greatest common factor of 40 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15054 >= -15047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + z)*(-1 - 2 + 5) + 2 + 2*z - 2)*(-z**3 + 2*z**3 - 3*z**3).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 31492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 21*b - 21. Suppose 8*h - 4*h - 30 = -2*k, 4*k - h = 78. Determine a(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h + 486. Let i = h + 100. Let a = -55 - i. Solve -3*f + 6*f = 4*c + a, 0 = -4*f + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let b(u) = -u. Suppose j = -3*j - 4. Suppose 34 = -25*f + 134. What is f*l(g) + j*b(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 2 (c) 0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 7 + -5 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6951 - -6972. What is the greatest common factor of w and 10227?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3740717841?\nAnswer: 3, 7, 6299, 28279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -96 - (4\/(-2) - 3). Let i = g - -152. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13260 (base 11) in base 12?\nAnswer: ab66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**3 + 52*p**2 - 123*p + 8. Let d(g) = 30*g**3 - 310*g**2 + 735*g - 50. Let c(s) = -4*d(s) - 25*f(s). Solve c(z) = 0 for z.\nAnswer: 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187564*k**3*o**2 - 4*k**3*o + 2*k**3 - 10*k**2*o + 4*k**2 wrt o?\nAnswer: -375128*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let r = q - 3. Let n = r + 7. Solve -8 + 24 = 5*p - 4*i, -16 = -3*p + n*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178 + 753 - 152)*(4*b**2 - 7*b**2 - 10*b**2).\nAnswer: -5499*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 16*q - 10605. What are the prime factors of q?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 3186?\nAnswer: 11\/1593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence peep when four letters picked without replacement from epeeeeepeeeppp.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 150 - 790 = 0. Suppose 2*p + 4 = p, 5*x + 5*p - r = 0. What is the highest common divisor of x and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2274 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(704) + 3.\nAnswer: 3 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390546\/1669 + (-924)\/11?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20816765.1 microseconds in days?\nAnswer: 0.00024093478125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13781910?\nAnswer: 2, 3, 5, 459397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3269*c + 32695. What is j(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 - -91) + (1 - 43)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1464 and 37664511.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + 3*o)*(82*o - 48*o + 161*o) + 5*o**2 - o**2 - 3*o**2.\nAnswer: 586*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3811417564?\nAnswer: 2, 41, 4649, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2828, 3052, 3298, 3572, 3880, 4228, 4622, 5068?\nAnswer: 5572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*l - 2*l - 148 + 71 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 996 - 842. What are the prime factors of o?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6906484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*1*21\/9. Let r(z) = z**2 + 8*z + 1. Let q be r(-8). Solve 2*l + q = x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 1:24 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/42*1451\/1451.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.6 times 4?\nAnswer: -390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6) + 70\/(-420)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -18*h + 14*h + 8, -13 = r - 4*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15 = -3*a, -4*a + 10 = 4*s - 10. Suppose -3*z + 572 = 4*r, -a = r - z - 141. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, -2\/19, -2, -2\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 1002.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(3*y**4 - 2*y**4 + y**4).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 9179302.\nAnswer: 9179302.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 6*r**2 + r - 7. Let x(c) = -c**3 - 8*c**2 - 8*c - 5. Let u be x(-7). Suppose 5*m - 50 = -5*h, 7*m - u*m - 44 = -4*h. Determine p(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3773 divided by -343?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*u - 30, 0 = -3*n - 39*u + 44*u - 6. Let m(x) = x**2 + 6*x - 18. Give m(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 3*d - 7 + 38, 2*v + 10*d - 82 = 3*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = f + 142 - 31, 3*q + 4*f = 150. Suppose 0 = -18*n + q. Let d = -3.9 + -0.1. Which is the nearest to -0.1? (a) n (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((5*sqrt(5040)*-1)\/(sqrt(405) + (sqrt(405) + 2*sqrt(405) - sqrt(405)) + (sqrt(100)\/sqrt(2))\/sqrt(10)))**2.\nAnswer: 190\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmgs when four letters picked without replacement from qqmvqvwqgqgvqvsgmg?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8*-1)\/((-105)\/40).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:02 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*y - 11*y**2 - y**2 - y - 17*y**2 wrt y?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(9\/(-12 - -21)). What is the second biggest value in 4, -0.33, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 27*u**2 + 12*u - 2. What is the units digit of n(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 140 = -t, 4*t + 98 = c + 34. Factor 51*h + 28*h**2 + 6*h + 50*h - 43*h + 4*h**3 + c.\nAnswer: 4*(h + 2)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 205476*o + 5277548322.\nAnswer: 2*(o - 51369)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588 = 5*y - 61*l - 562, 0 = 6*y - 4*l - 38 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 142657, 285315, 427973, 570631, 713289, 855947?\n\"Answer: 142658*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -1\/70 in decreasing order.\nAnswer: 2, -1\/70, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*-2628.\nAnswer: 136656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 3) + -3 + 1 + 3. Solve x = -n, -2*n - 21 = -4*j + n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(432) - (sqrt(30) - (sqrt(120)\/sqrt(4) - sqrt(30)))\/sqrt(10)) + (4 + -6*sqrt(48))**2)*-1.\nAnswer: -1743 + 181*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -76*x - 156. Calculate b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 260551024823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from drdrkkdkkyz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2692*k**3\/5 - 6657324*k**2\/5 + 6640224*k\/5 + 19792\/5 = 0 for k.\nAnswer: -2474, -2\/673, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 0 (c) -0.4 (d) -2110\/3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-7)*4\/((-12)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 16*f**2 + 14*f - 12. Let y be l(-15). Suppose -y*i - i = -452. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124.112 times 0.2\nAnswer: -24.8224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-45))\/(6\/15). Which is the third smallest value? (a) n (b) 0.5 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5 = -y - 2*o, -5*o - 3 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*x + 16*x + 8*x**2 + 30*x**2 + 1 - 26*x**2 in the form a*x**2 + k + t*x and give t.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 421*j - 118. Is v(29) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/24 + 3*a**2\/2 - 3. Let i(r) be the second derivative of g(r). Let u(f) = 5*f**2. Calculate u(i(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 15.\nAnswer: -8, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6749*m**2 + 6665*m**2 - 7 + 1.\nAnswer: -84*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 159523159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0.5 (c) 2\/127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -7 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 5*n + 282*p - 284*p, -5*n - 3*p - 57 = 0 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:40 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983546.3 tonnes to kilograms.\nAnswer: 983546300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31323 (base 4) to base 6.\nAnswer: -4043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58*l**2 + 32*l**2 - 42*l**2 - 48*l**2 - 1024 - 2754*l**4 with respect to l.\nAnswer: -11016*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 1}. Give prob of picking 2 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/12 + t**3 + 9*t**2\/2 + 7*t. What is n in r(n) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 - 6*t**2 - 72*t\/5.\nAnswer: -2*t*(t + 3)*(t + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 57.3023ml?\nAnswer: 0.0573023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 13}. Give prob of sequence mfm.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5778\/11 + -525. Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-147)\/(-196))\/((-1)\/(-19)))\/(((-13)\/13)\/(-4)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 l, and 1 k when four letters picked without replacement from llkllllldlllksllddl.\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/2 - (-6)\/(-3) - 8. Let u be (-1)\/((g\/(-5))\/(-8)). Solve 7 = -6*n - u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-65 + 134)*(3 + 0) is divided by 78.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 - 13*z**2 - 16*z + 44. Let q be 22\/(-33)*(26 - (-6)\/(-3)). Let a be x(q). Round a to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**3 + 21712*f**2 = 0.\nAnswer: 0, 10856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24345?\nAnswer: 3, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 1, r: 4, l: 3}. What is prob of picking 2 a?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -548 divided by -137.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5256 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.96 - -0.04. Let z be 6\/(-15)*270\/(-168). Let g = 1\/2 - z. Which is the second biggest value? (a) -5 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -33.723.\nAnswer: -370.953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d - 4. Let o(g) = 4*g + 2. Give -6*k(b) - 11*o(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 920174, 920173, 920172, 920171, 920170, 920169?\n\"Answer: -u + 920175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, 3, -26, 208 in descending order.\nAnswer: 208, 5, 4, 3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-111)*(-3)\/(-9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 38. What is the least common multiple of 4 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {m: 12, e: 1, g: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 14 + -31 + 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btrbrwrrwrrbrbtrrrrb. What is prob of sequence brwt?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1818 and -13318?\nAnswer: -24212124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188302 is divided by 884?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 6 + 3 - 2)*(r - 3*r + r)*(-2 - 1 + 16 + (2 + 0 - 4)*(3 - 1 + 0)).\nAnswer: 36*r**2 + 45*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64591103429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {k: 2, r: 1, g: 6, x: 9}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1621*p**3*r**4 + 2274*p**3 - p**2*r + p*r**5 wrt r?\nAnswer: 19452*p**3*r**2 + 20*p*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.4 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 7*l**2 + 86*l - 224. What is g(3)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.49 times 12.4?\nAnswer: -80.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 5*r**2\/2 - 1. Let g(h) be the third derivative of -23*h**4\/24 + 2*h**2 - 1549. What is t(g(j))?\nAnswer: -115*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16598322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 492068608 to the nearest integer?\nAnswer: 22183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3134 = u, -5*q - 2*u + u + 7829 = 0. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 79*u**3 + 3*u**2 + 412. Let b(t) = 159*t**3 + 5*t**2 + 825. Let q(j) = -3*b(j) + 5*z(j). What is the first derivative of q(x) wrt x?\nAnswer: -246*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 8*w - 8. Let u be x(6). Let m be (u\/5)\/(2\/(-20)). Let h(d) = -d**3 - 7*d**2 + 8*d + 9. What is the least common multiple of 4 and h(m)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j + 88. Let g = -19 - -30. What is the highest common divisor of j and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2.59, 5.\nAnswer: -0.5, 2.59, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8495 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*n*z**2 - 22*n*z + 1813*z**2 with respect to n.\nAnswer: -7*z**2 - 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100001 - -10210002211?\nAnswer: 10201202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936051 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 607691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 0.7 (c) 0.3 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 65*m**2 + 2*m + 22. Let v(t) = -10 - 26*t**2 + 8*t**2 - 16*t**2 + 2*t**2 - t. Let d(x) = -6*a(x) - 10*v(x). Find the second derivative of d(s) wrt s.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*p - o = -659*p - 5*o - 104, 0 = -5*p - 5*o - 130 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*((sqrt(50))**2 + 4)*-5 + -4).\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 156 + 372?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 92 (base 10) to base 9\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*p - 2)*(-5 + 2 - 3) + 1 - 1 + 2*p + (p - 2*p + 2*p)*(1 + 2 - 4) - 3 + 3 - 2*p + (-1 - 7 + 2)*(-p - p - 2*p) to u*p + l and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 76 - 106 = 0. Suppose -4*n + 2*a + 558 = 0, -9*a = n - g*a - 135. Suppose -4*t = -7*t + 105. What is the highest common divisor of t and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215624 is divided by 436.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 750*x**2 + 4*x. What is the units digit of s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14090656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -25 + (-23 - -34)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0368093 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 0, 4\/5, 43, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-100))\/((-1)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**3 - 3*m**2 - 3. Suppose 4*x + 20 = 2*v + v, 5*v = -2*x - 10. Suppose 0 = t + 3 - v. Let h(d) = 5*d**3 - 4*d**2 - 4. Give t*h(u) + 4*r(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1584*p - 1547*p - 311304 = 575*p for p.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4892 rounded to the nearest one hundred?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 17 - 11 + 6*l - 42*l to the form u*l + t and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16166 - -16355. What is the remainder when 341 is divided by b?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3)*2*-4 - (3 + -1*sqrt(3))).\nAnswer: -7*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 1 + 7 = 0, -748290*i + 31 = -748293*i - 3*r + 4 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -500695886*s**4 + s**3 + 303880*s**2 + 1085 wrt s.\nAnswer: -12016701264*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/3*(-22)\/(-220)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9*m + 72 = 0. Suppose -m*p + 5*p = -4725. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 11:58 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*j*w**4 + 2*j*w**3 - 4*j + w**4 - 598*w**2 - 1 wrt w.\nAnswer: -1632*j*w + 12*j + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783707 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -12523023?\nAnswer: 12523021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 + -101. Let j = -217\/45 - -4\/15. Find the common denominator of 85\/r + (-2)\/6 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1625 and 29165875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 16*r + 20*r + 24, 2*r = -h + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 4*z - 18. Let o be a(7). Suppose 0 = 4*b + 3*v - 168, -o*v - 2*v = 4*b - 176. What is p in 45*p**2 - 87*p**2 - 6*p + 24*p + b*p**2 = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 3*c + 2*c**3 - 9\/2*c**2 - 17. Determine h, given that l(h) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c. Suppose 3*w + 1 = 7. Let n be v(w). Let g(d) = 3*d**2 - 6*d**2 - n*d**2 + 3*d**2. Let a(z) = -4*z**2. Give g(a(k)).\nAnswer: -96*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 48 = -12*y. Let o = y - 9. Differentiate -4 - 4*s**3 + 3*s**o - 1 - 1 wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 11\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-15)\/25) - 4. Let r be 2\/4*(-7 + y). Is -3 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 10*g - 41. Let l = -33 - g. What is the greatest common factor of l and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 6*u - 12. Let g be x(-29). Suppose -3*w + g = -1478. What are the prime factors of w?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181503539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -s - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5265 (base 7) to base 10.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11*s - 75. Let m be q(-7). Let v = -246 + 207. Which is greater: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14948381?\nAnswer: 7, 305069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 319791\/703 + (-6)\/(-57) and 325?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 18\/(-14)) + 38840\/280 + -114\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 5 + 7. Solve -i*g - j = -2, -4*g = -j - 1 + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 5*x**4\/12 + x**3\/3 + 12*x**2 - 182*x. Let f(g) = -4*g**2 - g - 22. Let p(y) = 5*b(y) + 6*f(y). What is p(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 4*h - 3. Let r be i(5). Suppose s = -r*s - 12. Let q = s - -13. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 230793616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-9) - 3276\/(-18954) and -13\/126?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 22389.63 millennia?\nAnswer: 223896.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9327240 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o + 91 + 8 + 241 - 12*o)*(10*o**2 - 109*o + 109*o).\nAnswer: -10*o**3 + 3400*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.031 and -205272?\nAnswer: 6363.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 1. Let j(a) = 3*a**2 - 4*a - 4. Let r(s) = 4*h(s) - j(s). Let n(i) = 703*i. Determine n(r(t)).\nAnswer: -2109*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/6806156?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)*b*b**5)**(-1\/11))**5 assuming b is positive.\nAnswer: b**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) 5 (c) 1 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 227584 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2350 and 13\/1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) 1\/4 (c) 981 (d) -0.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2490*a**2*z + 2*a*z + 2*a - 878 wrt a?\nAnswer: 4980*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2 + a - 1\/2*a**2. Differentiate s(x) with respect to x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 156?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g - 15. Calculate v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2 + 1 - 3*s + 4*s. Let v be g(-3). Suppose -u + 2 = -v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10779990 * -10\nAnswer: 107799900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/191488745 and -51\/35?\nAnswer: 191488745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 1\/6*p**6 - 2 + 0*p - 5\/2*p**2 + 0*p**4 + 0*p**3 + 0*p**5. What is the second derivative of g(u) wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106997490 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 7:06 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbx when three letters picked without replacement from {y: 2, n: 2, p: 2, x: 1, v: 1, b: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1011010 and 16\/975.\nAnswer: 15165150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 518 in 11, 0.01, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1557*q - 59453 + 25199 = 0 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 k when four letters picked without replacement from {w: 11, k: 6, u: 1, m: 1}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*c - 11, 0 = -o - 2*c - 1 - 0. Sort 4, o, 19.\nAnswer: o, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1901 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(11) + -4 + -4 - (-1 + (sqrt(99)\/sqrt(144))**2 + sqrt(11) + 1 + 1 + sqrt(11)).\nAnswer: -6*sqrt(11) - 155\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 41*141\/(-104058)*-40\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 34*y**3 + 39*y**2. Let s(t) = -17*t**3 - 21*t**2. Determine 6*k(j) + 11*s(j).\nAnswer: 17*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -491 - -898. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.2 - -2.8. What is the nearest to -0.11 in 1\/3, 5, h, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 5*u + 5. Let x(d) = -31*d**3 - 28*d**3 + 60*d**3 - 5 - d + 4. Suppose 2*h + 0*h = -2. What is h*g(r) - 5*x(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -879*a**2*m**2 - 58598*a**2*m + 27*m**3 wrt m?\nAnswer: -1758*a**2 + 162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-1 - (-4 - -7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 441917 - 212722 = -5*z, 3*z = -t + 392779. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**2 + 27*t + 35. Let c(k) be the first derivative of 4*k**3\/3 - 13*k**2\/2 - 17*k + 6. Let u(y) = 9*c(y) + 4*p(y). Is u(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 127*g**3 + 73 - 261*g**3 + 133*g**3 in the form o*g**3 + p*g**2 + s + y*g and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.930896 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674814682?\nAnswer: 2, 79, 659, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/6)\/v**(-24) assuming v is positive.\nAnswer: v**(149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g**(-3\/4)\/g*g)*g)\/g))\/(g*g*g*g**0\/g)*g*g\/(g**5*g)*g*g\/g**1 assuming g is positive.\nAnswer: g**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4361837527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 0 + 73*t + 4*t**3 + 2 - t**2 - 75*t to v + y*t**2 + a*t**3 + z*t and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137354777425 - 1383?\nAnswer: 137354776042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**4\/4 - 5*p**3\/3 + 47*p**2 + 34*p. Give t(11).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 7:34 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-1350)\/15)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/10 or -165\/33554?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8)*(-1 - -1). Suppose b*k = -k + 5*g + 19, 3*g + 76 = 4*k. Calculate the remainder when k is divided by ((-4)\/6)\/(8\/(-84)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2130\/13 + 164. Which is the fourth smallest value? (a) -1\/5 (b) -1\/3 (c) o (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:36 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (17 - 22) - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 1. Let w be s(-1). Let i(r) = -40*r - 480. Let n be i(-15). Suppose w*t = -2*c + 100, -t + 3*c = 2*t - n. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3146*x + 434700. Determine b(138).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -644 (base 10) to base 2\nAnswer: -1010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p)**28 assuming p is positive.\nAnswer: p**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times -0.15?\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -518 divided by -6.\nAnswer: 259\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*l = 12, 2*n = -4*l + 5*l + 3. Suppose 4*m - 4 = 0, -n*s = -s - 4*m - 173. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -8. Let u = -312 - -5926\/19. What is the third biggest value in 1\/8, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -735*a - 5156. Calculate x(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20304096.279 and -7.42?\nAnswer: 20304088.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (596\/(-28) + (-4)\/(-14)). Let f = 2 - 22. Let r be f\/(-50) - (-226)\/10. Is r greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77389 is divided by 115.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2.2. Let v = 20.25 - 18.25. Which is the closest to -1? (a) v (b) s (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbt when three letters picked without replacement from btrrtb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.8 + 0.8. Let d = 0.0341 - -0.0659. Which is the closest to d? (a) -2 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 315*b + 294*b + 37*b**2 + 135 - 904*b + 294*b to d*b + k*b**2 + n and give k.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Let b be (7 - 1)*j\/8. Is b smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-336)\/(-504) - (-10)\/84*-2)*(-2240)\/4200.\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3 + 3)*(-8 + 4 - 3)*(0 - 3 + 2).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 4, n: 3, t: 3, j: 4, o: 2}. Give prob of picking 1 j, 1 o, and 1 n.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -4.4. Let l = z - -3.8. What is the smallest value in l, 2, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 445892 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.1 + -29. Let z = 2.02 + -0.25. Let i = j + z. Round i to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107651 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -4. Let z = -11 + y. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.505 - -1.495. Sort y, 4, -2, -3.\nAnswer: -3, -2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*d + 20 - 17 - 588*d to v + o*d and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.44 + 6.64. Which is the closest to y? (a) -1\/3 (b) -2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 10:04 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-2 - 720\/14). Let x = 1741\/28 + t. Find the common denominator of 1\/15*12\/8*-1 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 867 = 3*n - 4*o + 853, -11*o = 5*n + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536267 is divided by 1630.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 512599.8km in micrometers?\nAnswer: 512599800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164480 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, 0.2, 1\/8, 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301532273939.64 + -0.1.\nAnswer: 301532273939.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -290\/4963 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/24 + 13*l**3\/3 - 23*l**2. Let z be m(11). Solve z = 6*w - w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31005000 and 5300?\nAnswer: 31005000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 326 + -398. Let l be z\/126 - (0 + 11\/(-7)). Solve -7*r - l = -8*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 10 = -2*m - 4*i, 2*m = i + 10. Let w be 16\/(5\/(-15)*m). Which is greater: -15 or w?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*138\/(-864) - (-132)\/704?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64907\/1914 - 1106\/33. Calculate the common denominator of p and 3\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 118 = -3*j, -2*t + 59 = 3*j - 63. Suppose 2*w - 50 = -3*w. Calculate the highest common divisor of j and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 11*v**2 - 4*v + 1. Calculate the remainder when z(7) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049242721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -1\/30*k**4 + 1\/150*k**5 + 0 + 18*k**2 - 1\/5*k**3 + 0*k. Factor b(f).\nAnswer: 2*(f - 3)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321590 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 294 - 294. Let z = 0.2 + 0.8. Let f = v + z. What is the second smallest value in -0.1, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2722008 is divided by 819.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -2\/93, -34, 2\/11, -0.3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8*10)\/5 - -4. Suppose 39*x = 35*x + t. Let a(u) = -u - 1. Let b be a(-6). Calculate the highest common divisor of x and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5497 and 8947.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9864550 by -4754.\nAnswer: -2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 165*k - 161. Let w be b(1). Solve -4*x = -9*o + 4*o - w, 2*o = -2*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - g + 1. Let c(b) = -5*b**2 - 11*b - 1. Let w(o) = -4*a(o) + c(o). Let h be w(-6). Solve 2*n = -4, 0 = 5*k - n - h + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5416, -5515, -5626, -5755, -5908?\nAnswer: -6091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxqq when four letters picked without replacement from {q: 17, x: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10111101?\nAnswer: -11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:50 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44627 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.221138 - 0.221138. Suppose -2*c = -3*o + 36 - 10, c - 23 = -3*o. What is the second smallest value in d, o, -1\/24?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3230212 - -20?\nAnswer: -3230172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - -0.90000064. Round h to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**4 - 1427985*r**3\/2 - 25490870920*r**2 - 229391778285*r\/2 - 50975316090 = 0.\nAnswer: -71397, -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - v**3 - 3*v**3 + 5*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*b**2 + 23*b**2 + b**3 - 2*b - 3*b**3 - 35*b**2 as x*b + v + s*b**3 + k*b**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {x: 1, q: 6, z: 2, y: 10, f: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1563093 is divided by 1081?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -86249603 divided by -6\nAnswer: 86249603\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 c when three letters picked without replacement from {v: 3, k: 1, c: 2, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 310 = -130 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-4)\/6 + (-210)\/(-18) and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.2 (b) 10 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 12*g - 5. Let s(n) = 1. Let w(l) = -2*s(l) - u(l). Let b(q) = 2*q - 8. Let t be b(-2). Let i be w(t). Solve -5*j + i*j = -4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000001011 + -1?\nAnswer: -111000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 - 2*j**4 - 14 - 2*j**2 + 4*j**2 - 21*j + 15*j - 28*j + 10*j**3.\nAnswer: -2*(j - 4)*(j - 3)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6*v + 12. Suppose -v = -38*x + 37*x. Suppose 13*n - 10*n - 21 = 0. Solve -5*j + 18 = i, 5*i + n = -x*j + 34 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(5*j**2 + j**2 - 4*j**2) - 2*j**2 + 3*j**2 - 3*j**2 + 3*j + 4*j**2 - 3*j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/20)\/(-2) - (-166)\/(-10). What is the tens digit of (-1624)\/a + (0 - 6\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -6*i - b, -249*b - 1 = 4*i - 247*b + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 + -0.81. Let l = 1 - 0.5. Let z = 33.8 + -34. What is the closest to z in l, k, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 1875600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81.2 - -41. Let k = -40.200422 - w. What is k rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i - 2*i + 1 + 7. Let b(o) = -5*o - 9. Let p = -14 - -7. Determine p*s(l) - 6*b(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*f**2*r**2 + 4*f**2*r + 38*r**2 wrt f.\nAnswer: 42*f*r**2 + 8*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 704*x**3 - 2507 + 7*x**2 - 3*x**2 + 1269 + 1236 - 20*x wrt x.\nAnswer: 4224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89\/132 + -1\/132. What is the third biggest value in -3, 1, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*a*g**2*v + a*g*h - 2*a*g*v - 2*a*h*v + 5*a + 44*g*v + 23*h*v - v + 1 wrt g?\nAnswer: 134*a*g*v + a*h - 2*a*v + 44*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, and 1 s when three letters picked without replacement from {s: 1, i: 4, c: 1, o: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -482, -5835, -5 in ascending order.\nAnswer: -5835, -482, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 29100135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 2098.4\nAnswer: -1888.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 - 28*v**2 - v\/3 + 28.\nAnswer: (v - 84)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(-2*p + 0 + 0) - 4*p - 1 + 1.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*c - 90*c = 206*c - 37848 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h + 694 = 445 - 568 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*d - 2*d**3 + 649*d + 2732*d - 13*d**2.\nAnswer: -2*d**3 - 13*d**2 + 3301*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47315757*d**2 - 32*d**3 - 47315751*d**2 + 94631508*d**2.\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a + 0*a)*(-3 + 3 - 2*a)*(2*a**2 + 0 + 0) - 77*a**4 - 3081*a**3 + 3081*a**3.\nAnswer: -85*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 - 12*x**2 + 14*x**2.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 13*u + j - 22 = 0, -2*u + 22 = 5*j. What is the third biggest value in u, 0.3, -1.375?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 21 = -4*r + 1, 4*r = -3*x - 20. Solve x*y - 6 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195080 times 50.6?\nAnswer: 9871048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*w + 1533*s - 1536*s, -5*w = -2*s + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 6*k + 4*k - 7*k + 3*k. Let u(x) = -x**2 + 6*x. What is -4*b(o) + 5*u(o)?\nAnswer: -5*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 22 = -3*y, 4*g = 5*y + 2*g - 33. Let p be 9\/(18\/(-10)) + (y - 2). Factor p - 2\/3*m - 6*m**3 - 4*m**2.\nAnswer: -2*m*(3*m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(-5)*n))\/n*n**(-3\/17)*n**(-1\/16)*n*n**28 assuming n is positive.\nAnswer: n**(9183\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 19 - 4 = 0, -3*q = 4*r - 29. Let c(l) = 10*l - 6. Let m(k) = -19*k + 11. Calculate r*c(s) + 6*m(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 7*f**3\/2 + 307*f - 297. Let j(m) be the first derivative of k(m). Let v(y) = -y. Determine v(j(w)).\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-1)\/((-12)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 22 = y, -4*y + 3 + 5 = 4*b. Let s(t) = -t**3 + 1. Let x be s(0). Let c = x - -1. Solve 0 = -5*u - b*l - 13, c*u = 7*u + 3*l + 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25.57, 4\/5, -72615 in descending order.\nAnswer: 4\/5, -25.57, -72615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:21 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205808 and 15200?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2535*g + 225667. Calculate k(89).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/4 + 358307*p**3\/4 + 895757*p**2\/2 + 358302*p = 0 for p.\nAnswer: -358302, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 426.1 - 336.0926. Let d = c - 90. Round d to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219 + 70*o**2 + 58*o**2 - 127*o**2 to the form z + m*o + j*o**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101.93 and -5.\nAnswer: 509.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25548001 = 25548002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 - 4*y**2 - 3*y**2)*(-3 - 1 - 3)*(0 + 6553*y**2 + 0 - 6841*y + 6841*y) in the form p + g*y**3 + u*y**4 + a*y**2 + b*y and give u.\nAnswer: 91742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13230 = -187*v + 193*v. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czczvczc. Give prob of sequence cvz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9e1cbe (base 16) to base 4\nAnswer: -213201302332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 869983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2088 is divided by 938?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 33 - 27. Suppose -4*y + p = -2. Suppose 0 = 5*h - 5*a, -4 = y*h + a - 6*a. Solve 0*i + h*i = 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*f + 28 = -285*f. Differentiate -4731*l**3 - 193 - 9*l + 6*l**f + 4731*l**3 with respect to l.\nAnswer: 24*l**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -9, -4 in increasing order.\nAnswer: -24, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 361 - 357. Let z(g) be the third derivative of 0*g**k + 1\/240*g**5 + 0*g + 0 - 1\/24*g**3 - 6*g**2. Factor z(q).\nAnswer: (q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i + 2. Let s be c(4). Let 28*r + 5*r**3 + 54*r + 120*r**2 - s*r**4 - 29*r**5 + 34*r**5 - 2*r = 0. What is r?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2 - 4 - 10*a**2 + 4 + 3 with respect to a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 116818 and -1.\nAnswer: 116817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 64?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 2*b**2 + 2*b + 4. Let z be y(-3). Suppose -c = -z + 2. Suppose -a + 6 = -c*f - 17, -4*a + 3*f = -24. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + v - 2. Determine n(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*q + 16*r - 11*r, -12*q + 4*r = -36. Let u(g) = g**2 - 1. Let c(p) = -7*p**2 - 2*p - 2. Calculate q*u(y) + c(y).\nAnswer: -3*y**2 - 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675611499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, a: 4, i: 13}. Give prob of sequence ir.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r**2. What is the lowest common multiple of a(-1) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 4)*-3 + -5.\nAnswer: -15*sqrt(5) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1840 + 1825. Let k(p) = -p**3 - 14*p**2 + 16*p + 22. Give k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89.99 + -2.01. Let i = d - -77.1. Round i to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 10, -3*a + 4*t + 4 = 18. Suppose 5*n - 7 = -5*j + 48, -a*n + 10 = 5*j. What are the prime factors of 15*(10\/n)\/(4\/38)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s + 1 - s**2)*(2*s - 9*s + s).\nAnswer: 6*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 (base 16) in base 11?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3127367, -99, 0 in increasing order.\nAnswer: -99, 0, 3127367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**4\/24 - 15*k**2. Let g(o) = -19*o. What is t(g(r))?\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4861 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 184.8 - 185. What is the biggest value in 5, f, -63?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 - 4 = -2*k, -4*t = -12. Suppose 0 = 2*i - k - 38. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23.8, 3, -3\/7, -2\/21, -2\/17.\nAnswer: -23.8, -3\/7, -2\/17, -2\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 - 2?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*(-1)\/27)\/((-9)\/135081). Let r = 148423\/89 - o. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305201 (base 7) to base 3.\nAnswer: -2122122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/473, 0.5, -58.9 in descending order.\nAnswer: 0.5, -12\/473, -58.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248890?\nAnswer: 2, 5, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(3))*5)**2 + (-1 + sqrt(363))**2 + (-6*(sqrt(147) + 1 + 0))**2 + 1.\nAnswer: 582*sqrt(3) + 5868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -550, -1239, -2206, -3451, -4974?\nAnswer: -6775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 25*f + 62. What is the hundreds digit of q(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -710*c - 90. Suppose -2*w + 0*w - 2*l = -2, 0 = w + 5*l + 15. Let y be u(w). What is y rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3987649 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 30, 102, 244, 480, 834, 1330?\nAnswer: 1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 35868831 - 2243\nAnswer: 35866588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 - 2*r - 1. What is k(-4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -3, 5\/4, -1\/35.\nAnswer: -72, -3, -1\/35, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 equal to 667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 55. Let i(r) be the second derivative of -r**5\/20 + r**3\/6 + 5*r**2\/2 + r. Determine i(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.0776 times 47\nAnswer: -50.6472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 7:39 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11732121, -11732100, -11732077, -11732052?\n\"Answer: m**2 + 18*m - 11732140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.93 - -0.07. Let r = -4 + 1. Which is the biggest value? (a) n (b) -2\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/19)*y**22*y*(y\/(((y*y*y**(-25))\/y*y)\/y))\/(y*y**25))**26 assuming y is positive.\nAnswer: y**(10946\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -601, -600, -589, -562, -513, -436, -325?\n\"Answer: j**3 - j**2 - 3*j - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.03296m in micrometers?\nAnswer: 48032960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(144\/(-875))*(-6)\/196 and 15\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d - 5. Let c(b) = 20*b + 14. Let p(o) = -6*c(o) - 17*z(o). Let r be p(-2). Factor w**r + 0*w**2 - 1\/2*w**4 + 1\/2 - w.\nAnswer: -(w - 1)**3*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082 a factor of 3699241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -2\/19, 137, -2.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 16204417934855\nAnswer: -16204417934865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -157*i + 39. Let u(q) = -q + 10. What is d(w) - 4*u(w)?\nAnswer: -153*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*a**3 - 13*a**3 + 71*a**3.\nAnswer: 122*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + -0.08. Let w = -100 + 143. Let f = w + -42.6. Which is the closest to f? (a) 1\/3 (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = 5*k. Suppose i + 0 = -k. Let v(u) = 4899999*u**2 - u. Let w be v(i). What is w rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1361 - 968. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3664 = -2*s + 3*s, m - 4*s - 1204 = 0. What are the prime factors of m?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 552\/53 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-1))**(2\/15)*((p\/p**0)\/p)**(-4\/31) assuming p is positive.\nAnswer: p**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 5 + -5 + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 2. Let f(x) be the second derivative of 2*x**2 - 7\/6*x**3 + x + 1\/20*x**5 + 0 + 0*x**4. Calculate -2*f(y) + 5*v(y).\nAnswer: -2*y**3 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 20*y**2 - 65*y - 6. Give t(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkxkxxxkkxxkxkkxx.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 1. Let g be (-3)\/4 + (-3)\/(-4). Suppose 5*n + 4 + 11 = g. Is l(n) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {p: 1, g: 1, e: 1, s: 2, d: 1, l: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -44 - 0.5\nAnswer: -44.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121715092.8s to weeks.\nAnswer: 201.2485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1371533829*m**3 - 2*m**2 - 1323486*m + 233 wrt m.\nAnswer: 8229202974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 13 = -3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(2*p**4 - 433*p**2 + 433*p**2 + 2*p - 2 - 2*p**5).\nAnswer: 2*p**5 - 2*p**4 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 492263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -664 * 0.1\nAnswer: -66.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, k: 8}. What is prob of sequence jkk?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012 (base 5) to base 3.\nAnswer: -11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 10*u + 29. Let b be o(-12). Suppose 4*g + 3*h + 184 = 689, -5*g + 625 = b*h. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 421.0335ml?\nAnswer: 0.4210335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e4 (base 16) in base 6?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128442 by 2.\nAnswer: -64221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)\/((l*l**(8\/5))\/l))**21 assuming l is positive.\nAnswer: l**(-231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 937 - 619. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.37 - -0.13. Let w = 2 - s. Which is the closest to -1\/3? (a) 1\/9 (b) 4\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from hkdxxmkdddmddkxk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15494 is divided by 254.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrrw when four letters picked without replacement from {r: 2, w: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -0.024 (c) -30 (d) -2\/3 (e) -247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10510 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 3*x - 6. Let b(c) = -5*c**2 - 7*c + 12. Let n(l) = -3*b(l) - 7*h(l). Determine n(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2988 - -7?\nAnswer: -2981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 130*p - 161 - 131*p)*(-p**2 + 7*p**2 + p**2).\nAnswer: -7*p**3 - 1428*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9943573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -924*a + 1041.\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1499 + -1402. What is the remainder when 230 is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(11) - (-1 + sqrt(1584) + sqrt(1584)).\nAnswer: -26*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18237 = -5*f - 4*y, -3*f = 3*y - 7867 - 3077. Suppose 28*n - 23*n = f. Suppose 7*s - 349 = n. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 1, d: 4, l: 3, n: 1, h: 2}. What is prob of picking 1 d, 2 h, and 1 j?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 66a9b4 (base 13) in base 9?\nAnswer: 4502357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51164, 51162, 51160?\n\"Answer: -2*m + 51166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*j + 85 = 0, 0 = -2*m + 4*m + 4*j - 170. Let l be 1 - (-14)\/(-10) - (-233359)\/m. Suppose 0*r = 3*r - i - 2753, -3*i - l = -3*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-6)*(-12)\/(-10). Let t be 37 + 0 + 3 + -2. Suppose 0 = x - 4, n*x - t = -s - s. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 71. Suppose -118 + 6*m**2 + 602 - y*m**2 - 88*m = 0. What is m?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1398 + -672. What is the highest common divisor of d and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 222 + 51?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*s + 3*s - 1, -4*s = 3*x - 49. Let k = -335 + 217. Let i = -76 - k. What is the remainder when i is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-528)*-22*(-6)\/(-9)*-9*2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, 1 b, and 1 h when four letters picked without replacement from bggsghbbggbbggysg.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + 2*sqrt(605) + 2 + (3*(0 + sqrt(605)) - sqrt(605)) + 4) + 0 + -5)**2.\nAnswer: 32208*sqrt(5) + 352201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 36*w**2 - 114*w + 122. Determine r(-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01725417896 rounded to five decimal places?\nAnswer: 0.01725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -3) + 23 + -75 + 63 - -50?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in -8, 3, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 4. Let z(k) be the second derivative of -k**4\/4 - 5*k**2\/2 - 3*k. Let m(p) = 5*w(p) - 4*z(p). Let x(o) = 3*o**2. Calculate x(m(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 4*t**2 - 15*t - 15. Let j be z(-6). Solve w - 1 = j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 e when three letters picked without replacement from {e: 2, l: 2, p: 4, c: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/11269528 and -59\/22539056?\nAnswer: 22539056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 74*z**2 - 100. Let l(o) = -30*o + 30*o + 20 - 95*o**2 + 80*o**2. Suppose -5*y + 109 - 29 = 0. Let j(m) = y*l(m) + 3*x(m). Differentiate j(c) wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, v: 11}. Give prob of sequence uv.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.8864895 to one decimal place.\nAnswer: 66.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3649, 14418, 32367, 57496, 89805, 129294, 175963?\nAnswer: 229812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 1815462.\nAnswer: 30862854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((-4)\/(-4) - 3). Suppose o*b - 24 = 2*b. What is the remainder when 31 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2 = 4*t, -2*u + t = -2. Suppose -4*a - 298 = -u*p, -3*a = -0*a - p + 224. Let r = -37 - a. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 3100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 162.\nAnswer: -3, 3, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -74, 3 in decreasing order.\nAnswer: 3, -2, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 279?\nAnswer: 28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2181 = 4*f, m = 3*f - 2*m - 1635. Is 88 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 579782172 to the nearest integer?\nAnswer: 24079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1028*g*h**2*r - g*h**2 + 9152*g*h*r wrt h.\nAnswer: 2056*g*r - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.3 (b) -4 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90781083?\nAnswer: 3, 10086787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.83 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + m = -3356, 5*h + 8*m = 5*m + 8379. Calculate the remainder when h is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330623.\nAnswer: 330623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) - sqrt(2016)*1)\/((sqrt(48)\/sqrt(2))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 262*o**2 - 4602*o - 3647. What is k(243)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 48, 5, 3 in increasing order.\nAnswer: -1\/4, 3, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 44*h**2 - 62*h - 804. Let s be l(-43). Solve -5*f - j = 1, -5*f - 5*j - s = -7*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.083, -8?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 11*l + l)*(0*l**3 + l**3 - 2*l**3) + (-2*l - 4*l + 7*l)*(-2*l**3 + 3*l**3 - 2*l**3).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/16)\/(-84*82\/(-13776))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -156 (c) 0.1 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4281207 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21518 - 15445 = 999*i for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**(-7)*i*i)\/i**(-3))\/(i*i\/i**(-3\/2)*i**(-1\/3)))\/(((i**(-1\/4)*i)\/i)\/((((i*i**5*i)\/i)\/i)\/i)*i\/i**(2\/11)*i*i**(1\/8)) assuming i is positive.\nAnswer: i**(3469\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-8)\/(-12)). Let h be r\/4 - 7\/(-4). Let b(y) = 2*y**2 + 9*y - 6. Let v be b(-6). Solve -4*s - 4 = 5*w + 12, -h*w + 4*s = v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 1 + 1. Let k be 22\/6 + z - 13\/(-39). Solve -6*c - k = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose -o + i + 6 = 0. Solve -o + 3 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -62*d**9\/63 + d**6\/120 + 128*d**5\/5 + 949*d**2 + d. Find the third derivative of q(m) wrt m.\nAnswer: -59520*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10657304 to the nearest integer?\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 486202377 to the power of 1\/3, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/13167 and 73\/94050?\nAnswer: 658350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1110 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 77*a**2 + 2 + 78*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 142402 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 163142 = -13*q + 576501. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j - 12. Suppose -2*y = -j + 2, 2*y = 3*c - 16. Solve 0 = 3*m - c*m + 2*n - 20, -3*m + 5*n - 32 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**3 + 1. Let i(c) = 8 - 387*c**2 - 9 + 388*c**2 + c**3. Suppose 0 = r - 2*r - 2. Determine r*i(m) - y(m).\nAnswer: 2*m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 8*g + 6. Calculate o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (7 - 2) - (-10 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5625587.135 rounded to the nearest 1000?\nAnswer: -5626000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egc when three letters picked without replacement from qegelclg.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 49269.86?\nAnswer: 49269.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -1334 (c) 3 (d) 4\/7 (e) 761\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t + 6*t + 10650. Let i be -3 + 154\/2 + 3. Let j = i - t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 15*b = 4*t - 26, -2 = b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/(x*x**(-3)*x)*(x**(3\/4))**(5\/11))**(33\/7) assuming x is positive.\nAnswer: x**(1101\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19360 and 32428?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/3 - 92*b**4 + 2*b**3\/3 + 92*b**2 = 0. What is b?\nAnswer: -138, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 152, 2.\nAnswer: 1, 2, 3, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487647?\nAnswer: 3, 18061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-1125)*90*2*2\/156.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -717.31 * -47.12\nAnswer: 33799.6472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 1)*(6 + -14). Let g = 26 - b. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1\/4*w**2 + 1\/4*w**3 - 5\/2*w = 0. What is w?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195)\/(-24)*388\/(-485).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145928178 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3011290 to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(44) + 5 + sqrt(99) + -1*sqrt(99))**2 + (sqrt(44)*2 - (sqrt(110)*2 - sqrt(110))\/sqrt(10))**2.\nAnswer: 20*sqrt(11) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 8*i**2 - 52*i + 188. Give n(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -n - 2, 2006*q + 39 = 2009*q - 3*n for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 481200 and 5900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s = -j - 6, 2*j + 16 = 5*s. Suppose 638 = s*i + 2*t, -4*t + 249 = 5*i - 547. Let n = i - 106. What is the highest common divisor of n and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 327 = 49. Suppose 2*p = 3*b - 206, 5*b = p + 18 + 316. Suppose -5*a - b = -i. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 4*v - 2. Let m(o) = -3*o + 1. Let r(j) = 1. Let i(k) = m(k) + 2*r(k). Let s be i(0). Give d(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3212?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 12*g**2 - g - 8. Calculate a(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-13))\/v))\/(v**(-2)\/v)*v**8*v**(-3\/2)*v assuming v is positive.\nAnswer: v**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04204 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -897 - -1539. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 31*w**3 + 3*w**2 - 2*w + 7. Suppose -n + 5*y - 912 = -910, 0 = -2*y - 2. Let q(b) = 15*b**3 + 2*b**2 - b + 4. Calculate n*q(h) + 4*x(h).\nAnswer: 19*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/400 + -157\/400. What is the closest to 1 in 0, 0.4, p, -2\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - o - 1 = 0, 2*j + 5*o = j - 5. Solve -2*z + 2*c + 4 = -j*z, z = 4*c + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*s**3*x + 9*s**2*x**2 + 7*s**2 + 3789*s*x**2 - s*x wrt s.\nAnswer: -90*s*x + 18*x**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 309161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 485, 965, 1445, 1925, 2405, 2885?\n\"Answer: 480*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -779*x + 779*x - 89*x**3 - 358*x**3.\nAnswer: -447*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from iiiiiiiiiiiiiiiiiiir?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 507 + 121. Let i = h - 621. What is the greatest common divisor of 203 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b76 (base 15) to base 2\nAnswer: -101000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2541) + (sqrt(2541) - -6*(2*sqrt(2541) - sqrt(2541)))))\/(6*sqrt(7)*2 - (sqrt(1008) - sqrt(28) - sqrt(28))).\nAnswer: 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 27 = -3*y, -s - 5 - 4 = 5*y. Let j(z) = z**2 - 5*z - 2. Let r be j(s). Let o = 10 - r. What is the smallest common multiple of o and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5350 + 23360. What are the prime factors of d?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16156 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d - 3. Suppose 0 = 4*s - 0*s - 52. Suppose d - s = -5*i. What is the remainder when 4 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10879)\/(-858) + 2\/13 and 3\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + sqrt(76) + sqrt(76)*-1 + sqrt(76) + sqrt(76))*-2)\/sqrt(4))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -29, -4, -38, 151 in increasing order.\nAnswer: -38, -29, -5, -4, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -20*h - 12. Let k(g) = -3 - 5 + 3 + 4. Let b(y) = i(y) - 20*k(y). What is the first derivative of b(l) wrt l?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = a - 124. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**6\/24 + 109*x**5\/30 - 1519*x**3\/3 + 25*x**2 + 39. Find the first derivative of u(m) wrt m.\nAnswer: 15*m**2 + 436*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**2 + 5. Let z(x) = -x. Suppose 2*s + 4*l - 9 = -5, -45 = -5*s - 3*l. Calculate s*z(c) - 5*v(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 0*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**2 - 1. Let h be k(1). Let m be (-54)\/h*(-4)\/6. Suppose 0*j = 5*j + m*d - 656, 121 = j + 4*d. Calculate the greatest common divisor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - 2*sqrt(143))*6)\/(sqrt(11) + sqrt(11) + sqrt(704)*2 + sqrt(11) + sqrt(11)) + -3.\nAnswer: -3 - 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 12:23 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 7*t**2 + 12*t + 10. Let s be z(-5). Sort -1, s, 5, 38 in ascending order.\nAnswer: -1, s, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47302, 94214, 141126, 188038?\n\"Answer: 46912*d + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26020 is divided by 182?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1122\/6 - (-2 + (0 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99483 = -18*z - 15726 + 50163. Does 40 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 23 + 109 - 126 - 2*s**2 - 3*s. What is c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + 29 - 45) + -64.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 12215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2009*q + 275 - 3889*q - 275 to the form j*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5810.7 from 21.\nAnswer: -5789.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 12083*t**2 + 386 + 23479*t**2 - 386 - 7425*t**2 as p*t + b*t**2 + l and give b.\nAnswer: 28137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1) + 4\/(-10). Let m be (-21)\/(-15) - (-2)\/(-2). Let n = 0.5 + -0.2. Which is the closest to 1? (a) j (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g = -2 + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-14)\/77 - (138620\/(-110))\/1 and 168.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3717\/105 + (-4)\/10. Let g be (2 - -1)*(111 - 6). Calculate the greatest common divisor of v and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -3 - 5) + 8. Suppose s + v*r - 7 = -0*s, -2*s - r + 4 = 0. Let l = -2 + 0. Put s, 5, l in increasing order.\nAnswer: l, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2650700 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*w - 261*w + 147*w + 16*w - 223*w as l*w + m and give l.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2 + 0*v - 2 + 3*v - 4. Let o be h(6). Solve 0 = 4*q + 16, -22 - o = 3*y + 5*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.99 - 1.39. Which is the biggest value? (a) -0.1 (b) -5\/3 (c) l (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 - 31 + 89 - 26 - 1650*r as a + g*r and give g.\nAnswer: -1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*t + 0*t - 6 = 0, -4*z - 5*t + 8 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.8. What is the nearest to 0 in 2, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*w - 13 = -c, 5*c + 3*w = 9. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 411.82 - 406.82. Sort -2\/15, 5\/4, 0.2, s, 15.\nAnswer: -2\/15, 0.2, 5\/4, s, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2568 + 15786. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/36*(-1)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - 25\/(-5)) + 409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7510 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -110*m**2 - 1403*m + 380. Determine i(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 1592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 138*x**3 + 9542*x + 58418350 wrt x?\nAnswer: 414*x**2 + 9542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3\/2 - 35*h**2\/2 + 147*h\/2 + 3087\/2 = 0.\nAnswer: -7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2331 in 0, -2, -2681?\nAnswer: -2681","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 11*x**2 - 10*x - 9. Let y be f(-6). Let d(r) = 42*r + 92. List the prime factors of d(y).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.579297mg in nanograms?\nAnswer: 8579297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2017*y + 6. Let z be o(-2). Let p be (30\/4)\/(3\/z). What is p rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 105?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 636558?\nAnswer: -636553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(6 - (-8)\/(-4)). What is the common denominator of 2\/5 and 57\/15*(-10)\/x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l + 36. Determine m(22).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6084, 4, 3\/4, -71, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - s = 0, 3*s = 2*l - 4*l. Suppose 0 = -l*q + 14*q - 4018. Which is smaller: 288 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/2 + 3*x**3\/2 + 57*x**2\/2 - 227*x\/2 + 84 = 0.\nAnswer: -8, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8696 + 1aa5?\nAnswer: -69d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 741 divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.0076 + -0.9076. Put -0.1, -5, -0.2, 9\/8, h in descending order.\nAnswer: 9\/8, h, -0.1, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, b: 4}. Give prob of picking 4 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + 96 + (-4 - -51)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1318 + -5.1318. What is the smallest value in 0.4, 1, -6, p?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3045 - 0.3046503. Round o to six dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21315318 to the power of 1\/2, to the nearest integer?\nAnswer: 4617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212 - 209.6. What is the nearest to -1\/2 in -4, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-3 + -1*sqrt(1100) - (sqrt(99)*2 - 2*sqrt(11)*-1)))*-2)**2.\nAnswer: 864*sqrt(11) + 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266 or 269?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - 135\/4)*-44.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*c**2 + 115*c - 115*c)*(-33*c**2 + 97*c**2 + 47*c**2).\nAnswer: 2775*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(8\/(120\/(-25)))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/(a\/(a\/a**(-2)))*((a*a\/a**(-1))\/a)**(3\/7))**(-1\/4) assuming a is positive.\nAnswer: a**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111 (base 2) in base 10?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742792.\nAnswer: 2, 217849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 44 - (-13 - -2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2*u + 8*u)*(u**3 - 9*u**3 - 4*u**3).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 2. Suppose -w - 5 = 2*u + 1, 5*w - 3*u = 9. Let k be l(w). Suppose -k*g + 5*n - 22 = -100, 52 = g + 4*n. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhlhqll. Give prob of picking 2 l and 1 q.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-66)\/110 + (284\/(-15))\/(-4) - 4. Let g(m) be the second derivative of 0 - 4*m + d*m**3 + 1\/5*m**2 + 1\/30*m**4. Factor g(i).\nAnswer: 2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53200 and 482600?\nAnswer: 6756400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13037.07 decades to centuries.\nAnswer: 1303.707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 21*c**2 - 17*c + 77. Give n(-20).\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 650375382 to the power of 1\/2, to the nearest integer?\nAnswer: 25502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76 or 0.22?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -18*u**3 - 4*u**2 + 53*u - 148. Determine t(3).\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 75\/30*(-4)\/(-2)*1. Let y be ((-4)\/i)\/(1 + 0 + 1). Which is the closest to 5? (a) -2 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1453 + 2?\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 <= -0.4196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 10100101110?\nAnswer: -10100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 24 = -2*z, -2*t - 7*z + 4*z = 14. Let y be 4\/t + (-26)\/(-40). Which is the nearest to y? (a) 0.1 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 35677538.\nAnswer: -1\/35677538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10920)\/(-2002))\/(((-12)\/11)\/(-6))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1461c0b + -3?\nAnswer: -1461c10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3630*x**2 - 1918*x**2 - 1732*x**2.\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 1, b: 1}. What is prob of picking 1 e and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 28261?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8816 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (5 + 0 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 3*b + 5*z, -3*z = z - 20. Suppose -5*i - 1 - b = 0. What are the prime factors of (0 - i\/(-10))*-40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 15\/(-10))\/(1\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45135\/90238 - 8\/45119. Let 1\/2*c**4 - 1\/3*c**2 + 1\/3*c**3 - 1\/6 + 1\/6*c**5 - h*c = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*u - u**2 - 46 + 105*u to the form g*u + w + l*u**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 29 = 4*f + 16, -5*f = -y - 14. Suppose -5*q + 3 = -2*l - l, 5*l - 8 = 4*q. Calculate the remainder when q is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3520*l**3 - 5*l - 1 - 1 - 3*l + 7*l + 5*l**2. Let v be x(3). Round v to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 144, -2, -1, 2.\nAnswer: -2, -1, 1, 2, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d + 37 = 103. Suppose 17*y - 12*y = -d*t + 2909, 3*t - 2326 = -4*y. List the prime factors of y.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.647 + 0.647. Sort z, 5\/2, -7\/5.\nAnswer: -7\/5, z, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/21)\/((-19)\/(-266))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -1\/7 (c) 3 (d) -4945 (e) -0.3 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 97\/3. Let d = -31 - -16. Let o be (-11)\/15 + (-6)\/d. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.202 + 1.202. Put 0.7, 7, t in decreasing order.\nAnswer: 7, t, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112000 (base 3) in base 9?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3 + 4*y + 3. Let w(f) be the first derivative of -f**5\/30 + 13*f**2\/2 + f + 13. Let m(z) be the second derivative of w(z). What is r(m(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atwttwwtwqttwk. Give prob of picking 1 a, 1 k, and 2 t.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 14. Let a(u) = u**3 - 7*u**2 + 6*u - 30. Let n be a(7). Suppose -n*r = -15*r - 18. What is k(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 0*q + 1\/4*q**4 + 0*q**3 + 0*q**2 + 0 + 1\/4*q**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.92393962 rounded to 4 decimal places?\nAnswer: -0.9239","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 521983, 521973, 521973, 521989, 522027, 522093, 522193, 522333?\n\"Answer: s**3 - s**2 - 14*s + 521997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 24*p**3 + 5*p**2 + 205*p - 903. Give n(4).\nAnswer: 1533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1755542 = 1755542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/(-10) + 8\/(-20) and -1 + (-22)\/16 + 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**7\/42 - y**6\/12 + y**5\/3 + 5*y**4\/3 + 4*y**2 + 25*y. Factor v(q).\nAnswer: -5*q*(q - 2)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20943, -20952, -20983, -21048, -21159, -21328?\n\"Answer: -2*f**3 + f**2 + 2*f - 20944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1087, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(5 + (-44)\/8). Find the third derivative of 986*h**4 + 2*h**k - 100*h**2 - 986*h**4 wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6666640 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*r - 11*r - 13*r)*(-157*r**3 + 157*r**3 + 200*r**4).\nAnswer: 1800*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*((f\/(f*f*f*f**2*f))\/f)\/f)\/f)**33*((f*f*f\/(f*f**(2\/7)*f))\/f)\/f**(-3) assuming f is positive.\nAnswer: f**(-1367\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6086?\nAnswer: 2, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14423950 divided by -10886\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 54. Let g(b) be the second derivative of 1\/48*b**4 + m*b**3 + 0 - 3*b - 1\/8*b**2. Factor g(c).\nAnswer: (c - 1)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*q**2 + 0 - q + 1\/3*q**3 = 0. Calculate q.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 241532681 and 222.86?\nAnswer: 241532458.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/9, -0.2, 7222 in decreasing order.\nAnswer: 7222, -0.2, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) 7 (c) -948\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27981609.\nAnswer: 3, 17, 227, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*y - 8011 + 94*y - 291*y + 8007.\nAnswer: -534*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72734 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2448) - sqrt(2448)*-2 - sqrt(17))**2 - sqrt(17)) + sqrt(17) + (sqrt(2057) + 1*sqrt(2057))**2 + sqrt(17).\nAnswer: sqrt(17) + 29058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**12*v**(-1\/25)*v*v**(-1)\/v*v*v**(1\/7) assuming v is positive.\nAnswer: v**(2118\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 2. Let y be x(-4). Suppose y*s + 1 = 35. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 362268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(26416\/910 - 29).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/14? (a) 13\/5 (b) -3\/7 (c) -1\/8 (d) 2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2)\/p)\/p)**(3\/10))**(-22\/7)*(p**8*p*p)\/p**(-2\/11)*(p*p*p\/(p**(-2)*p*p*p)*p*p)**3 assuming p is positive.\nAnswer: p**(9629\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3 + 6*(-2*(sqrt(2)*-2 + 3) + -5))*3)**2.\nAnswer: -27216*sqrt(2) + 46089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s - 4. Let i be v(7). Suppose 0 = -x + 5*x - i. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14cb82 (base 14) to base 2\nAnswer: 10110001011010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*q - 3*b, 5 = -q + 5*b - 4*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-336)*(-104)\/(-6).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 8595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66203*u**2 - 150668 with respect to u.\nAnswer: 132406*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -92. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 323233?\nAnswer: 323302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 1. Let p = q - 3. Which is bigger: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.124 millimeters in kilometers?\nAnswer: 0.000048124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 14*f + 32. Let z be u(8). Let x = z - 140. Solve 3 = -c, x*b + 2*c = -0*b - 26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-5)\/3 - 6\/9. Solve -5*k = -15, -c*i - 5*k + 25 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 11 = -3*r - 4, -2*r - 5*f = 15. Suppose -u + 1 = -r. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4906 + 10103. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 0.02, 2, 392 in decreasing order.\nAnswer: 392, 2, 0.02, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*s, 3*s - 683 = 3*d - 710 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w + 11*w - 32*w = -54. Let h(k) = k**3 - 6*k**2 - 17*k - 8. Determine h(w).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-13)*(-2)\/4. Is 0 - -364 - (6 + n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 a factor of 350117412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**4\/24 + 11*t**3\/6 - 4*t**2. Let j be h(5). Let p be 0*(-3 + 21\/j). Put 1, p, -5 in descending order.\nAnswer: 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21763 (base 8) in base 2?\nAnswer: 10001111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 2. Let z be (-2 - 40\/(-6))*18. Calculate the greatest common divisor of z and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (61\/(-183))\/((8\/(-2))\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*j - 239*j - 229*j in the form g*j + q and give g.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12968.95 times -0.5?\nAnswer: 6484.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = 2*i + 56, 4*q = -4*i - 104. Let h be 42\/(-4) + (-33)\/i. Let z(f) = -f**2 - 9*f + 8. Determine z(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16310687, 32621287, 48931889, 65242493, 81553099, 97863707?\nAnswer: 114174317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 104\/108*-3 - -3\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26465 - -3114?\nAnswer: -23351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(-4*(sqrt(13) + sqrt(104)\/sqrt(8) - sqrt(13)) - sqrt(13)) - ((-5*(sqrt(91) + (sqrt(91) - (sqrt(91) + -4*sqrt(91)))))\/sqrt(7) + 0))*2.\nAnswer: 6 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2003 (b) 0.1 (c) -1\/3 (d) 4 (e) -4 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/3, -49, -921?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l - 299 = -1001. What is the smallest common multiple of l and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73476 and 51114.\nAnswer: 625942044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*3 - (sqrt(156) - sqrt(156)*-2*-4))\/((sqrt(432) - 2*-1*sqrt(432) - sqrt(432))*-3)*-4.\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8837318 is divided by 327308.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2200 and 66307175?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 133. Let l = -19 - t. Let h = -51 - l. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 603474.\nAnswer: 603471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17533 (base 8) to base 5\nAnswer: 224102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -282 and -1.35013.\nAnswer: -283.35013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-7))\/((2\/9)\/(180\/(-54)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from okrkkvozkkvvovo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2283778 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56682, -453238, -1529558, -3625524, -7081018, -12235922?\n\"Answer: -56647*l**3 - 27*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1209037*r**3 + 7*r**2 + 58244791*r?\nAnswer: -7254222*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32 (b) 96 (c) 0.7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62787162946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 194900 + -279046. Let z = 84149.00054 + h. Let d = z - 3. Round d to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 10:51 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, b: 4, s: 8}. What is prob of picking 3 b and 1 w?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-17))\/(m*(m\/((m\/(m**(2\/7)\/m))\/m*m*m*m))\/m)*(m\/m**(-3)*m)\/(m*m*(m*m**17)\/m*m))**(2\/13) assuming m is positive.\nAnswer: m**(80\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7020.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + sqrt(98)*1*-6)*4 + -4 + (sqrt(98) - (sqrt(98) - 5*2*sqrt(98) - sqrt(98)) - -6*(sqrt(98) - (sqrt(98) + 1) - sqrt(98))) + -3)**2.\nAnswer: 2730*sqrt(2) + 22219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 3, -6*z + 10*z + 11 = -3*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -631540 (base 7) in base 9?\nAnswer: -175044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppptt. What is prob of sequence ptpp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*g - 1477 = 2*u, 4*u + g - 1179 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + -37 + 385 + -416?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(17)) + (sqrt(204) - (sqrt(204)*4 - sqrt(204)))\/sqrt(12).\nAnswer: 3*sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 694 = 5*h, -4*q - 3*h - 874 = -9*q. Suppose 5*j = 3*v - 28, -5*v - 2*j = -6*j - 64. Calculate the highest common divisor of v and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 193 = 28*n. Suppose 24 = 6*m + 6. Sort 11, m, n.\nAnswer: n, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32955478 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 919 + 3*j - 938 + 15*j. Let s be l(6). Let q = s - 181\/2. Which is the second biggest value? (a) q (b) 4\/15 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*y + 157 = 0, 139 = 4*k - 2*y + 15. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13507*q - 13512*q = -660. Calculate the highest common divisor of q and 13596.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00562880953 to 4 dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -241?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.62 - 7.27. What is the closest to -0.1 in -3, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 219, -5, 0.05, -0.7, -1\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6. Let t = 18 - 16. What is the closest to 0 in t, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**2 - h**2 - h**2)*(3*h - 8*h - 7*h)*(0 + 3 + 0) + 2*h**3 - 2*h + 2*h to the form y*h**3 + o + u*h**2 + k*h and give y.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4659621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 5:34 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 + 2 - 30) + 28 + -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358450?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 232250\/4*(-160)\/(5 - 0). What is z rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 6:56 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/7 and -3\/9632287.\nAnswer: 9632287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 1442 = 62*m + 11*m + 798 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*j - 192, 4*j - 110 = -3*x - 0*x. Let i = x + -34. Suppose -i*d - 4 = -5*d. Solve d*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(132) + sqrt(132))\/(sqrt(144)\/sqrt(192)))**2.\nAnswer: 21296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001211 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -15. Let u(z) = -7*z**2 + 4*z - 4. Let h(g) = -7*g**2 + 4*g - 1. Let j(c) = -5*h(c) + 4*u(c). Is j(s) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2483 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 8*j - 3*j**3 + 5*j**3 + 6 + 8*j**2. Let a be (-9 - (-3 - -4)) + 3. Let w be u(a). Sort -5, 1, w.\nAnswer: -5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3680\/(-224) - (-1 - (-270)\/(-18)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 36 = -41 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2001*l - 6770 + 34784 = 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 53*h - 238. What is the remainder when n(6) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51722 or -51660?\nAnswer: -51660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - h + 18, -m - 21*h = -26*h + 6. Solve 4*u + 0*r = m*r + 16, 0 = 5*u + r - 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13603*l**5 + 6*l**2 + 6*l + 40 wrt l?\nAnswer: 816180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -58 (b) -14 (c) -6 (d) -0.233\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 + 36*h\/7 + 96\/7.\nAnswer: 3*(h + 4)*(h + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 5*s + 9. Let x be v(-4). Suppose -x = -n + 14. Is n a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46.54 + -46. Let d = 0.4 - x. Let k = 0.092 + d. Round k to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 5, 13, 13, -1, -35, -95, -187?\n\"Answer: -w**3 + 5*w**2 + 2*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -162, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -8\/3*q**3 + 0*q + 31\/2*q**2 + 30. What is the second derivative of v(a) wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 145*j - 143*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.169982 litres?\nAnswer: 7169.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11954 and 2224.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**4 + 11*j**3 + 49*j**2 + 69*j + 18. Let t(m) = 2*m**4 - 9*m**3 - 50*m**2 - 69*m - 18. Let s(r) = -7*t(r) - 6*y(r). Suppose s(a) = 0. What is a?\nAnswer: -2, -1, -3\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 301 and 344.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39328 and 2152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6645*x**2 + 6595*x**2 - 26351*x**2 + 6610*x**2 + 6573*x**2.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**3\/3 + b. Let m(c) be the second derivative of 4*c - 1\/12*c**4 + 0*c**3 + 0 + 0*c**2. Determine u(m(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190 + -144. Suppose y*q = 37*q + 3663. List the prime factors of q.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:06 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123 - -125. Suppose m*a = 1 + 99. Calculate the smallest common multiple of 5 and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(75)*3*1 - ((sqrt(75) - -5*((sqrt(75) - (-1 + sqrt(75) - sqrt(75))) + sqrt(75))) + 5))**2.\nAnswer: 800*sqrt(3) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/13426 and 27\/274?\nAnswer: 13426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 57*d + 9*d**3 - 57*d.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1)*q**15)**(2\/109))**(-21))**(-3\/5) assuming q is positive.\nAnswer: q**(378\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1741 + -1110. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/2 + 3*v**4 + 7*v**3\/2 = 0 for v.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.468 rounded to two dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 74.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5\/3 + 314*m**4\/3 - 3073*m**3\/3 + 10076*m**2\/3 - 13396*m\/3 + 6080\/3 = 0.\nAnswer: 1, 2, 5, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 804, 1180, 1524, 1824?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 = 16*f + 326 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 328?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92 + 95. Put f, -4, -1, 4 in ascending order.\nAnswer: -4, -1, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 5*n**2 - 23*n + 13. Let p be z(-8). Solve 3*q - 6 = p*u, -5*q - 11 = -2*u - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -11, -21?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 91*g**2 - 154*g + 26. What are the prime factors of f(-18)?\nAnswer: 2, 16141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21728581*c*f - 22383803*f wrt c?\nAnswer: -21728581*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1001100010111011 (base 2) to base 3\nAnswer: -1222122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/8))**16*n\/(n\/(n*n*(n\/(n\/(n\/(n*n*n\/n**(-6\/13)*n*n))*n))\/n))*n*n*n*n**(3\/8)\/n assuming n is positive.\nAnswer: n**(407\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -31*f - 30*f + 86*f - 26*f**2 - 28*f + 745*f**3 - 747*f**3 - 12. Let i(m) = -2*m**2 + 3*m - 4. Let b be i(3). What are the prime factors of c(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 3058?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/20, -139, -7 in ascending order.\nAnswer: -139, -7, 1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9374652?\nAnswer: 2, 3, 7, 37201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*h + 85 = 0, 3*h = 706*r - 710*r - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153.\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4447 - -9843. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -20*b**3 - 3*b - 2. Suppose 4*c = -0*c. Suppose -4*k - 36 = -d, k - 1 = -c*k. Calculate the remainder when d is divided by f(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h + 27 - 92. Suppose -7*g + 3*g = -124. Solve 0 = h*i + 3*r + 34, -i - 2*r - g = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9535.\nAnswer: 5, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 421, 353, 239, 79?\n\"Answer: -23*i**2 + i + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1953)\/6*(-8)\/(-6). Is l\/(-10)*35\/(7 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 123 + 108 - 331 - 14*q**2 + 100.\nAnswer: -q**3 - 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*v**5 + 3712*v**4 + 27*v**3 - 181*v**2 - 4045*v + 1 wrt v?\nAnswer: -360*v**2 + 89088*v + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 14. What is the units digit of r(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p = t + 12, 2*p - 4*t = -6. Suppose -p*a + 8 = -10. What is the units digit of (10\/a)\/((-3)\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 364 = 9*r. Suppose 12 = 32*c - r*c. Find v such that 11*v**3 + 4*v**4 - 16*v**2 - 17*v**3 + 6*v**c = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 5*w**2 + 2*w + 1. Let x be b(-4). Let r = 22 - x. Solve 0 = 4*f + g + r, -g = 3*f - 3*g - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 - (-32)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 12) to base 7\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c1097 (base 14) to base 11\nAnswer: -29756a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12\/769, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*t - 199*t = 657. Suppose t*n = 216*n + 12. Determine j so that 0*j - 8\/5*j**n - 4\/5*j**2 + 0 + 2*j**3 + 2\/5*j**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 11:14 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r**3 - r + r - 14*r**3 - 13*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 294 and 73906112.\nAnswer: 221718336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(833)*3 - sqrt(119)\/(-3*sqrt(42)\/sqrt(6)).\nAnswer: -377*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4968847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*b + 15*b - 9 + 16*b in the form o + c*b and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqitqiiumuqtqb. Give prob of picking 3 b.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308593 is divided by 254?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3 + 0 + 5*q - 3. Let s(f) = 4*f - 5. Suppose -2 = -d - 7. Calculate d*h(b) + 6*s(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**4 - 25*l**3 + 70*l**2 = 0.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 - -107. What is the third biggest value in -31, 4\/3, v?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-39)*(-2)\/(-20)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:41 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232c2 (base 15) to base 6.\nAnswer: 2222315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 517*m + 91208. Determine g(-139).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, m: 3, g: 5, f: 4}. Give prob of sequence mmfd.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2409935 or 1?\nAnswer: 6\/2409935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v - 41. Let n(s) = 22*s - 102. Suppose -847 - 245 = -91*h. Determine h*j(f) - 5*n(f).\nAnswer: -2*f + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.3 + -14.33. Let n = -0.03 - w. Which is the second smallest value? (a) -2 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-205 + 2\/2). Let d be (-4)\/30 + (-85)\/(-75). What is the common denominator of -1 - d - j\/(-9) and 97\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 times 1492592?\nAnswer: 47762944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12879*l - 3976. Is m(-31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-45)\/z)\/(z*(z\/z**43)\/z)*z**(-1\/25)*(z\/z**3)\/z)**(3\/11) assuming z is positive.\nAnswer: z**(-48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 764437 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((464\/(-3))\/4)\/(6\/(-27)). Suppose -11*n + 5*n = -v. Calculate the remainder when 54 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.58 to zero dps.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - 3. Suppose -n = -41 + 6. Let f = l + n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*n - 429*n + 45 = -218*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190669, 381339, 572009?\nAnswer: 762679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 5*t + 8. Let n be i(-6). Let p be -1*(2 + -7 + n). Calculate the greatest common divisor of p and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16034 is divided by 373?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1580.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/13 - 40*f**2\/13 - 186*f\/13 - 252\/13 = 0.\nAnswer: -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 465, 700, 937, 1176, 1417?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -22, 1.\nAnswer: -22, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2 = -8. Suppose 14 = -n*g - 2*g + 2*m, 6 = -g - 2*m. Let s = g + 23. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*o = -5, 3*g - 3*o + 8 = -7. What is the nearest to -2 in -1, g, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1080 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 4*k + 8. Suppose -25 = -4*n - 1. Let x be d(n). Is (-4)\/(-8) + (-54)\/x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2210821.5 to the nearest one thousand.\nAnswer: 2211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(14)\/sqrt(2)*-1 + sqrt(7) + sqrt(7))*5)**2*6.\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)*5)\/((sqrt(121)*-1)\/sqrt(11)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 1\/20*b**5 + 0*b**2 + 1\/4*b**4 - 1\/12*b**3 - 1\/6*b**6 + 0*b - 3. Determine n, given that l(n) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:49 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Suppose 5 = 2*f + 5*r, -r + 5 = 4*f + n*r. Determine x so that 2\/5*x + 12\/5*x**2 + 16\/5*x**3 + f = 0.\nAnswer: -1\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 15972.\nAnswer: 79860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.795391 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 174 - (145 + 9) - -87?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-3) + (0 - -4). Let u be q\/(-20) - (-17)\/15. Which is the nearest to -1\/4? (a) 6 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2136110 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100342.\nAnswer: 2, 11, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(224\/(-574))*488?\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3346 - -1?\nAnswer: 3347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 989*h + 2719*h + 82*h in the form z + b*h and give b.\nAnswer: 3790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4499, -4485, -4463, -4433, -4395, -4349?\n\"Answer: 4*b**2 + 2*b - 4505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3883 divide 1742919497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 3 - 1)*-1. Let o be (0 + 1)\/(m\/(-6)). Solve -5*f = o*x - 18, 6*f - x - 13 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 200*f**2 - 4639*f - 47. Give d(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -32*m**2 + 3769*m + 535. Give w(118).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-5 - -1) + (11 - 6) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 0*x**2 + 2*x**2)*(0 - 1 + 22)*(-737 + 737 - 10*x).\nAnswer: 420*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/144 and ((-1876)\/70)\/(-7 - -1)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n + 222 = -51*n. Is 1\/4 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104404336 to the power of 1\/2, to the nearest integer?\nAnswer: 10218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15948819449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/3, 1\/2, 0, 470, -0.9 in increasing order.\nAnswer: -0.9, 0, 1\/2, 10\/3, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + -9 - 7\/((-28)\/(-1248)). Let l = -305 - t. Solve g = -2*b, -3*b - 4*g = -l + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-1)\/(-4)*4). Suppose b*c - 165 = -0*c. Round c to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 0 - 3*b + 1\/4*b**4 + 0*b**2 + 0*b**3. Let s(t) = 4*t. Let j(x) = -4*x. Let m(h) = -4*j(h) - 3*s(h). Calculate m(p(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztt when three letters picked without replacement from ttzzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 3\/2 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 572097 + -3?\nAnswer: 572094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(32\/64 + 1\/(-2)*7). Solve -a + 5*l + 4 = n, -9*l + 12*l = -6 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 + 123. Is 3 a factor of (-664)\/d - 7\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 21 - 3)*(0 + 4 - 2)*(-2*o - 5*o - 4*o) to the form h*o + y and give h.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13547\/9042 + -8\/4521. Sort -0.3, 4\/7, -4.2, c in increasing order.\nAnswer: -4.2, c, -0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/25 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.767 times -0.5?\nAnswer: 0.8835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 624325550*q - 833639983 wrt q?\nAnswer: 624325550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + -3 + 3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6601234031 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1177 = 176*a - 1185 - 278. Suppose c + 24 = 2*c - 4*s, -c = -5*s - 29. Let n be 782\/4 + c\/(-8). Calculate the greatest common factor of a and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3 + 574122*s**2 - 1722327*s - 2296452 = 0.\nAnswer: -1, 4, 191371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -680*w + 676*w + 25, 0 = -3*w - 4*n + 11. Let j(r) = r + 4. Let i be j(-3). Sort i, 10, w.\nAnswer: i, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9. Let z(w) = i*w - 6 + 6*w + 2 - 3*w. Is 8 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 448.2677ug?\nAnswer: 0.0000004482677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w - 4. Let c(v) = v**3 - 11*v**2 + 2*v - 24. Let p be c(11). Let o be y(p). Solve -a + 6 = o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + d + 3. Let n(u) = u**2 + 10*u + 17. Let j be n(-3). Let i(h) = -5*h**2 - 4*h - 7. Let t(l) = j*i(l) - 7*k(l). Give t(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -81*t**2 - 33*t + 98. Determine d(4).\nAnswer: -1330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -16*i**2 + i - 4. Let b be o(2). Which is bigger: b or -67?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -235596353 divided by -6367469?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**2 - 4*g**3 - 13*g**2 - 138 + 137 + 0*g**3 to u*g**2 + h*g**3 + i*g + z and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182 - -309. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 2 - 6 + 0. Let w be u(6). What are the prime factors of 42\/w + (-1)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34044232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87\/(18792\/(-2208))*(243\/(-6))\/9.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -555 - -560. Solve 3*f + 20 = z*g, -g = -4*f - 18 - 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276959 and 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 42. Suppose -3*d = -j - 54. Suppose t + 2*t - 37 = 5*r, -3*t + 69 = 3*r. Calculate the remainder when d is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-1 + 2*l + 1) + 0*l - 2*l + 0*l - 4*l - 2*l + 5*l - 3*l - l + 2*l + l - 4*l + l + (-2*l + 5 - 5)*(4 - 4 + 2) + 21*l + 603 - 417 - 22*l.\nAnswer: -14*l + 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072616 rounded to 3 dps?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1375680 and 22928?\nAnswer: 1375680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8987 = 131*l + 210 for l.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 48 = 2*c, -4*v = -4*c + 31 + 49. Calculate the least common multiple of 4 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 11575?\nAnswer: 11575.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 54156 = 39540. Calculate the smallest common multiple of d and 696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*d - 0*z + 6, 0 = -3*d - 4*z + 27. Suppose d*s = -s + 24. Solve -3*x = s - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5186*r - 195 = 5173*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 59790?\nAnswer: 538110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1272931 (base 11) to base 2\nAnswer: 1000011001000101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3 + 5 + (-5)\/(-3). What is the units digit of (-798)\/9*(-4 + (-3)\/g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 3*l**2 - 2*l. Let x be b(-2). Suppose x = 5*t - 6*t - 7. Let u be ((-58)\/8)\/(-1 - t\/8). What is the greatest common factor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 20 + 5. Let s be -4*1 + 630\/126. Which is bigger: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2521a (base 15) to base 6\nAnswer: -2313024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + z)*(-4*z**2 + 2*z**2 - 6*z**2) + (z - 3*z + 3*z)*(23*z + 119*z - 61*z)*(-4 + 2 + 3)*(0*z + 2*z + 2*z).\nAnswer: 308*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-1) - (11 + -502). Suppose -121 + g = 3*l. List the prime factors of l.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r. Let l(v) = -6*v + 21. Let i(p) = l(p) - 5*n(p). Let h be i(-4). What is the third smallest value in -1, -2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -t - 9, 0 = -2*b - 3*b - 10. Let i = t + 64. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 23729.3169 and -0.05.\nAnswer: 23729.2669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -64. Solve 3*w - 15 = i*a, -3*w = -5*a + 5 - 26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10641645\/4 less than 2660412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*i + 18, -i + 13 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26759*i**3 + 40819*i**2 wrt i?\nAnswer: -160554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 21318*c**2 - 298280*c - 511296.\nAnswer: -(c + 2)*(c + 12)*(c + 21304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 - 4*t - 7. Let r be x(5). Let m(g) = -g**2 + 8*g - 8. Let d be m(7). Let n = d - r. Solve 0 - n = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140842720 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650, -498, -336, -164?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 8 = -13*x. Factor 16*i - 4 + 6*i**3 - 213*i**2 - 4*i - i**4 + 200*i**x.\nAnswer: -(i - 2)**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1105.5995\nAnswer: 5527.9975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1292*o*z**3 - o*z**2 + 9*o*z + 15*o - 13*z**3 - z - 8 wrt z?\nAnswer: 7752*o*z - 2*o - 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*h - 5. Suppose h*y - 3*y = 102. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 + 150. Suppose q = -x - 4*w + 699, 2*x + 0*x = 5*w + 1372. What are the prime factors of x?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*r**4 + 4*r**2 + 71*r wrt r?\nAnswer: 84*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -515 + 541. Suppose d*v + 396 = 44*v. Calculate the greatest common divisor of v and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + (-42)\/8)*-16. Suppose 2*d - 20 = -r, z = 3*r - 0*d - 2*d. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7909256723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 5, q: 2, d: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-216)\/(-96) + 146\/(-72). Let p = 194\/7 - 28. Which is the nearest to -1\/2? (a) o (b) p (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (25 - (23 + -13))) + 212 + -62.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37914927409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 227, 1\/4, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1. Let x(y) = -26*y. Let f(j) = 5*c(j) - x(j). Suppose -4*d - 18*t + 12 = -19*t, -3*t + 28 = 4*d. List the prime factors of f(d).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -20. What is the remainder when 94 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -47. Suppose -7*r + 15 - o = 0. Let h be 0\/(2\/(2*1)). Solve -2*x + 1 = -3*s - 1, h = -r*s - 4*x + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*h**3 - 33*h**3 - 48*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5\/6, 2\/131, 5, 9\/7, -0.031, 2?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 88 - 1)*(3 - 6 + 5)*(5*c + c - 2*c)*(2 + 0 - 4) as d + x*c and give x.\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1581470 divided by 316294.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*f - 56 = 109*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 587070\/7 or 83866?\nAnswer: 587070\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 10. Suppose -i*q - 2*d + 11 = -17, 0 = 4*q - 5*d + 1. Let h(t) = -t**2 + 7*t + 2. Calculate h(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-12))\/((-3402)\/(-32508))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 - -3. Let o = 2.35 + 3.65. Which is the third biggest value? (a) 0 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830\/18 - 2\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 11 - 26 = -8*v, -4*v = -2*t - 7*t - 57 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*u - 23. Suppose u*k + 498 = 5*k. Suppose -w = -0*r + r - 83, -4*r = -3*w + k. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - -6 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.8 + -2.2. Let x = y - -12.3. Round x to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2 - 75*z + 155*z - 2 - 79*z. Let h(m) = 3*m - 119. What is h(y(j))?\nAnswer: 3*j - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(95)*3 - sqrt(95)))\/(sqrt(80) + ((sqrt(80) - ((sqrt(80) + sqrt(80)*-4 + sqrt(80) - sqrt(80)) + sqrt(80) - sqrt(80))) + sqrt(80))*-4).\nAnswer: 6*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204282 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*g + 27. Let a(o) = -2*o**3 + 5*o - 21*o**2 + o**g + 16*o**2. What is a(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*q + 4275 = -179*q - 208*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 3)*(d - 1 + 1)*(d**3 - 4*d**3 + 2*d**3).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5822 is divided by 5791.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267175971255 + -757.\nAnswer: 267175970498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 54. Let k be d(-28). Factor 9*z**k + z**3 + 8*z**2 - 15*z**2.\nAnswer: z**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 277*s - 4013. Calculate f(-16).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12138*t + 3. Let r(l) = -9*l**2. What is m(r(y))?\nAnswer: -109242*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.205 - -0.148.\nAnswer: -2.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595621 (base 12) to base 6.\nAnswer: 50512041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 - 18*j. Let n(z) = 2*z. Let l be (-2)\/(-3)*(-1 + -2 + 6). Let d(o) = l*i(o) + 30*n(o). What is the second derivative of d(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2\/5, 48, -2\/55, -8, 2 in descending order.\nAnswer: 48, 3, 2, 0, -2\/55, -2\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 839910 divided by -167982\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v - 1. Let z(s) = -4 + 2 + 8*s - 1 + 4*s. Let l(p) = -7*b(p) + 3*z(p). Determine l(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 149276 = -3*k, -248798 = 187*k - 192*k - 3*s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -4, -35, -6\/11, -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.2, -0.32, -3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3322 greater than or equal to -3324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 - 6245*i**3 + 746915*i**2 - 20764255*i - 21517410 = 0 for i.\nAnswer: -1361, -1, 51, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 2*m + 16. Determine h(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 + 135. Put 1, -4, d in decreasing order.\nAnswer: d, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**3 - 2*h**2 - 10*h + 7. Is d(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + g + 903 = 0, 0 = k - g + 54 - 282. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 7)*(b + b + 0*b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2223 - 183.1223. Let a = l + 183. What is the closest to a in -8, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + g + 10, 16*y + 124*y - 14*y - 3*g + 111 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167927\/12 + 13994. Let f(c) be the third derivative of p*c**4 - 5\/12*c**3 - 41*c**2 + 0*c + 1\/120*c**5 + 0. Factor f(x).\nAnswer: (x - 1)*(x + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 2908.\nAnswer: 14540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 538 + -330. Suppose -9*b = 19 - g. Let n(p) = 18*p + 41. Is n(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -1\/10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 812? (a) -98 (b) 0.1 (c) -0.3 (d) -2 (e) -5 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/4, 6\/5, 23 in descending order.\nAnswer: 23, 3, 6\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -18, 13, 5, -2 in decreasing order.\nAnswer: 13, 5, -2, -18, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1693386 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 + 20*i**2 + 5*i + 29. Determine s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**3 - 34*q**2 - 11*q - 36. Calculate z(-7).\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, y: 2}. What is prob of picking 2 g and 2 y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-9))\/4*-6. Suppose -o*q + 3*q = -26. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*m**2 + 2\/7*m**4 - 2\/7*m**5 + 0*m + 2\/7*m**3 + 0.\nAnswer: -2*m**2*(m - 1)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*a + 35*a - 280. Let h = a - -57. What is the remainder when 38 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 - 209 - (4 - (27 - -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 345320 and 33853.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 9, 15, 35, 75?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 560553, 560556, 560571, 560604, 560661?\n\"Answer: k**3 - 4*k + 560556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96584.\nAnswer: 2, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-63)\/6*4\/(-6). Suppose -2*g - 2*b + 10 = 0, 0*b + 3*b - p = g. Let k be ((-12)\/18)\/(g\/(-9)). Solve q + 1 = k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 8. Let d(f) = -f**2 - 3*f + 6. Let i be d(s). Does 7 divide 4 - (i - -4) - -17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*c - 32*c + 343 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.376424 centuries to months.\nAnswer: 451.7088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9974*j**2*y**3 - 466*j*y**2 + 7*j*y - y**3 wrt j.\nAnswer: -19948*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 89*c - 9. Let r(x) = -22 - 23 - 45*x + 96 - 24 - 23. Determine 4*q(p) + 9*r(p).\nAnswer: -49*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -24 + 31 + -21?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(1 + 26\/(-6) + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4330 + 1300242?\nAnswer: 1240412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 143 = -j + 623, 2*b + 5*j - 192 = 0. Let h = -19 - 29. Let c = b + h. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*w**2 - 10*w**3 - 1 + 20*w**2 as a*w + z + m*w**3 + f*w**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 10, -3*q + 2*l + 12 = -7*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11675 and -1?\nAnswer: -11675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 6, 0 = -4*k + 5*t - t. Solve -4*j + 2*h = 3*h + 11, -5*j = k*h + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 13 = -35. Suppose -4*n = -17 + 1. Suppose n*o = -o + 3*b + k, 0 = o - 5*b - 14. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(3*6\/(-108)*-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177024 by 24.\nAnswer: -7376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4978 - -4977.9. Which is smaller: -0.435 or m?\nAnswer: -0.435","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6152*g + 6134*g + 72 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1\/5, 5\/127, 4?\nAnswer: 5\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1968091 divided by -7841?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1169077 - -2440077. What is x rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o - 1 = 2*l - 72*o, -5*l = o + 28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 623, 2053, 4807, 9323, 16039?\nAnswer: 25393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 389838 and 732634.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109\/20 + 25\/4. What is the closest to 1 in 0.7, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.27, 1\/2, 6, -3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3272 + 25*m**2 - 2*m + 914 - 26*m**2 - 2881.\nAnswer: -m**2 - 2*m - 5239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 86?\nAnswer: -59\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680668 is divided by 15454.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4762714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14710?\nAnswer: 2, 5, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00372558 to five decimal places.\nAnswer: -0.00373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 378836250.9 to the nearest one hundred thousand.\nAnswer: 378800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5*i - 3 + (i - 2 + 2)*(-2 + 2 - 2) - 5*i + 3*i + 3*i + (-i + 2*i - 2*i)*(2 - 5 + 1) - 4*i - 2*i + 2*i to the form n*i + c and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by -430\nAnswer: 99\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4213170, 8426343, 12639520, 16852701?\n\"Answer: 2*n**2 + 4213167*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 10) in base 6?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 4)*(0*k + 0*k - 8*k) - k + 2 - 2 + (k - 4*k + k)*(-3 + 5 - 1) + 0*k - 3*k + k in the form o*k + n and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5150*p**2*w - 34200*p**2 - 35*p*w - 2*p + 84*w - 15866 wrt p.\nAnswer: 10300*w - 68400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swgs when four letters picked without replacement from wnqgwwngqqssnd.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -116 - 695?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r + 5. Let m(k) = -3. Let h(n) = 4. Let t(j) = 4*h(j) + 5*m(j). Calculate 3*t(x) - w(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 11*j**3\/6 + 127*j**2\/2 - 175*j + 13. Calculate h(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000053101 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + 3 + (-2 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -144*y**3 + 41*y**3 - 14 + 3*y**2 - 3*y + 46*y**3 + 46*y**3. What is the first derivative of p(j) wrt j?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001195 to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.74 + -2.84. Which is the closest to 1? (a) -5 (b) f (c) 3\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46509371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f - 18*f + 168. Suppose 0 = -4*u + f + 118. What is the common denominator of -87\/16 and 14\/(-28) + 18\/u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-67)\/4)\/(6035\/(-16898)*(-14)\/(-20)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 50545.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, -4, -9, -533, -3 in increasing order.\nAnswer: -533, -11, -9, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w + 7 = 277. Calculate the smallest common multiple of 60 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (5*(1*sqrt(175) - sqrt(175)) - (1 + sqrt(175) + sqrt(175) + sqrt(175) + 1*sqrt(175) + sqrt(175) + sqrt(175) + sqrt(175))) + 4 + -2)*1*4)**2.\nAnswer: -1120*sqrt(7) + 137216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17100 is divided by 854?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114818 and 5302?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144\/55 - 14\/5. Let f = -15 - -14. What is the closest to f in 1, 2\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219*b**2 + 5*b**3 + 2*b**4 + 177*b**2 - b**3)*(11 - 11 - 5*b).\nAnswer: -10*b**5 - 20*b**4 + 210*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 108 - 745*q**2 + 419 - 111 - 111.\nAnswer: -745*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(10)\/sqrt(5)*-4 + -1 + (sqrt(768)*-3)\/(sqrt(864)*-2 - sqrt(864) - sqrt(864))).\nAnswer: -7*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-36)\/(-6) + (4 - 3) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Let u(z) = 5*z - 5. Let s be u(4). Suppose 3*j + s = 51. Solve n*f + f - 2*h = -j, 4*h = 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 13436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*a + 36*a - 4*a**2 - 5*a**3 - 37*a**2 - 96*a + 135 - 14*a**2 = 0. What is a?\nAnswer: -9, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 take away 39086419929?\nAnswer: -39086419908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 2. Let s be l(2). Suppose p + 0*p = 127. Let g = -73 + p. What is the highest common divisor of s and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.2 + 8.4. Let n = -25 + q. Which is the third smallest value? (a) 3 (b) n (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6430, 12378, 17846, 22834?\n\"Answer: -240*j**2 + 6668*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 5*z + 194. What is the remainder when 47 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/35)\/((18\/27)\/((-6)\/(-9)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -o. Let i = o - 11. Solve -4*h - 5 = -i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 3\/16, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 10*n - 13 - 831 - 16*n + 8*n.\nAnswer: 2*n - 863","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4567*u - 2. Let q(j) = -j - 2. Let o be q(0). Let k be l(o). Let p = k - 18132. What is p rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 1116.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -14 (c) 3 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.7, 12, -101\/4?\nAnswer: -101\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*b + 14 = 0, -b + 2 - 12 = -f. Let q = 14 - f. Suppose q*o + 89 - 249 = -3*p, -2*p + 108 = 2*o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**7\/280 - u**6\/160 - u**5\/80 + u**4\/32 + 26*u**2. Factor f(l).\nAnswer: 3*l*(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -5 (b) -4 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 17, 0.8, 0.28, -4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 0.1. Sort s, 1\/9, 0.5 in ascending order.\nAnswer: s, 1\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 w, and 1 b when three letters picked without replacement from bebksdw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2220*w - 2214*w + 4434*w + 252*w**2 - 259*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 9:47 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 5)*(-19*p**2 - 69*p**2 + 22*p**2).\nAnswer: 462*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or 1228826?\nAnswer: 1228826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -4, 33, 7, 1, -93 in increasing order.\nAnswer: -93, -4, 1, 5, 7, 11, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4256272*x**3 - 7*x**2 + 19269*x - 1 wrt x.\nAnswer: -25537632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2363\/4787 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h = 36*h - 42. Solve -22 = h*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -957 - -760. Is a greater than or equal to -199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4)\/p*(p\/(p\/((p\/(p*p\/(p\/(p*p**(-17)))))\/p*p))*p)\/p)\/(p**(-13\/5)\/p*p*p\/(p\/(p\/(p*p**(2\/35))*p))*p))**25 assuming p is positive.\nAnswer: p**(10785\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 124968612 to the power of 1\/2, to the nearest integer?\nAnswer: 11179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5268)\/(-158479)*(-133)\/(-14).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*l - 373*l - 741 - 15608 = 32411 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 3, -3\/5, -1\/1048, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3520 and 4444.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 597114.9 millennia?\nAnswer: 59711490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - 100101?\nAnswer: -111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14 (b) -917 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*l - 191*l = -180 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -6. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -10. Solve -3*t + y + 14 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0*s + 0*s**7 + 0*s**3 + 0 + 0*s**5 + s**2 + 0*s**6 + 1\/84*s**8 + 0*s**4. Factor c(x).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -m. Let y(p) = -p**2 - 11*p - 8. Let f(i) = i**2 + 10*i + 7. Let d(b) = m*y(b) - 3*f(b). What is the units digit of d(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 0.5. Let s = 0.0829 - 3.0829. Which is the second smallest value? (a) s (b) 5\/4 (c) v (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-18)*((-3180)\/371)\/12*2?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2486274 to three dps.\nAnswer: -4.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580*p + 792*p + 5724 = 0. Which is the smallest value? (a) -0.3 (b) p (c) 4 (d) -5\/4 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - -0.1. Let o = 6554.83 - 6555. What is the closest to 2\/7 in b, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 56 = 0. Suppose 0*v = 3*q - v - z, -65 = -5*q - 2*v. Solve 0 = 5*s, 3*d + 1 + q = -2*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/20940 - 1643\/2135880. Let t be (-3877)\/54*((-45)\/204)\/5. Let i = t + f. Find the common denominator of 23\/28 and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 2*z**3 - z**3 - 2 + z - z**3 - z + (-1 - 2*z**2 + 1)*(5*z - 4*z + 0*z) - z**3 + 10*z - 10*z.\nAnswer: -6*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 42*o + 18048 = 665*o for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c*l**3*o + c*l**2*o - 834*c*l**2 - 488*c*l*o + 3*l**3 wrt o?\nAnswer: -c*l**3 + c*l**2 - 488*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-289)\/51)\/(-17)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 = v. Let t(q) be the second derivative of -q**3\/2 + q**2 - 5*q. Give t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (3 - (1 + 0)). Is (1\/c)\/((-10)\/(-1480)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62088 divided by -141\nAnswer: -20696\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**2*z**2 - q**2*z + 5527*q**2 - 6*q*z**2 - q*z - 11*q - 33*z**2 + 2 wrt q.\nAnswer: 6*z**2 - 2*z + 11054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2) + -5 + 1*(sqrt(2) + sqrt(16)\/sqrt(8)) - (-5 + (sqrt(10) - sqrt(1000)*-2)\/sqrt(5))**2.\nAnswer: -910 + 213*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -259 + 517\/2. Let j = -0.4 - -3.4. Which is the second smallest value? (a) l (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8361866 and 344.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -3. What is the derivative of 5 - 8 - n*h**3 - 9 wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26415)\/30)\/(2 + (-15)\/8). What are the prime factors of (-1 - (-9)\/(-6))*g\/15?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/10 and 69\/134.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1280 = 11*p - p. Calculate the greatest common factor of 96 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 34*j - 12. Let k be z(-16). Let f = 4 + 1. Suppose k = f*x - 0*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*v - 5*b, -3*v - 3*b + 8 = -1. Suppose -13 = -4*z + 5*r, -v*z + r = -14 + 3. Solve -3*g + 11 = z*g - a, 3*g - 8 = 2*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830494823 to the power of 1\/2, to the nearest integer?\nAnswer: 42784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z. Suppose 4*h - 53 = w, -w - 1 + 0 = 0. Suppose -j + 3*f = -h, 2*f + f = -2*j - 10. Determine n(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 4:30 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49168.6kg?\nAnswer: 49168600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 258, 253, 246, 237?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 + n. Let o be f(-1). Let g(c) = c**2 + 3*c - 7. What is g(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s**(-3\/7))**(-2\/163)*(s\/(s*s**(-3))*s**(-4))\/(s**6*s*s\/((s**(-1)*s)\/s)) assuming s is positive.\nAnswer: s**(-11460\/1141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -133, 0.11, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 502665 and 44321?\nAnswer: 20609265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**3 + 279*v**2 + 56*v - 100. Give z(56).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -2\/3, -1\/2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7 = j - 2*j, 58 = 5*j + 2*x. Let l = j + -10. Let m = 0.6 - -0.4. Which is the third biggest value? (a) 2\/13 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = c + 5*p - 3*p, -5*p = -5*c. Suppose 6*n + c*n = 528. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 1680111.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n*n**18))\/n*n)\/(n\/(((n\/(((n**(2\/13)\/n)\/n)\/n))\/n*n)\/n*n*n)) assuming n is positive.\nAnswer: n**(-171\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157 - 85. Let s(z) = -z**3 - 11*z**2 - 5*z + 19. Let d be s(-11). Are c and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.8694 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101 or 224?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 17*n**2 - 4*n - 66. Let m be d(-17). Suppose c - 29 = 2*v - 0*c, -73 = 4*v - 5*c. Is v != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3\/7 (b) 0.24 (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.14 (b) 80 (c) -2 (d) 7\/8 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122210011 - -200120?\nAnswer: -2122002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11826 and 12410?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25 - (11392\/(-360))\/8)*384\/256.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-1*(sqrt(2) + (sqrt(2) - sqrt(2)*-3))) + 4 - ((sqrt(450)*2 - sqrt(450)) + sqrt(450))\/(sqrt(6) + sqrt(6)*-2*-3).\nAnswer: -57*sqrt(3)\/35 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, i: 2, b: 1, t: 4, n: 1}. Give prob of sequence bii.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 = -2. Let j(c) = -c**3 - 4*c**2 + 3*c - 7. Let t be j(-5). Suppose -t = -h + n. Calculate the greatest common divisor of h and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-118)\/(-24)*3 + (-155)\/(-124). Let i(m) be the first derivative of 0*m + d - 11*m**3 + 5\/2*m**2. Find the second derivative of i(y) wrt y.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-57)*1\/2. Let s(q) = -5*q - 33. Let u be s(-7). Let i be 2*u - (8 + -4 + -1). Is f < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/(-9) - 504\/(-567). Let c(v) = 10*v - 4. Let r(z) = 31*z - 11. Determine t*r(a) + 11*c(a).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 861298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 666365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.37848542 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*s - 1, 2*s - 3*d = 6*s - 23 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1140, 1122, 1106, 1092, 1080?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1587187 by 173.\nAnswer: 1587187\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-194)\/(-9021)*93*1\/(12\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(256\/(-3)))\/((-3)\/2*1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.013 (b) 4 (c) -0.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 687471 and 10?\nAnswer: 6874710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -29*y + 29*y + 2*y**2. Calculate k(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 6*y + 7. Let q be f(-5). Let x be (-16)\/(-4)*(-25)\/q. Is 10 a factor of (x\/(-4))\/(-5)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*b - 17077 + 684 = 5183 for b.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfodfffofjfdjjofff. Give prob of sequence fjj.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4451686 is divided by 2206.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682364 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)\/m**(-24))\/((m**(-2\/9)*m)\/(m*(m**(3\/19)\/m)\/m)) assuming m is positive.\nAnswer: m**(15479\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + f + 225 - 113.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 948276 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a8 - -4?\nAnswer: -5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.15 rounded to zero dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 77*z - 118. Let k be t(-36). Let u = 6483 + k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1254*b + 53962. Give m(-43).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2935\/7 + 5973\/14. What is the common denominator of j and (41\/492)\/(4\/486)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6450)\/9675)\/((-28)\/(-6))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 642130677*m**2 - 5 - 642130677*m**2 + 0 + 2*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:36 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -17*a - 93. Let b(i) = -11*i - 62. Let f(g) = 7*b(g) - 5*w(g). Let r = 641 + -627. What is the tens digit of f(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k\/(k**(-4)*k))\/k)\/(k\/(k\/(k*k**9*k*k))))**(-5\/6))**(2\/31) assuming k is positive.\nAnswer: k**(40\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4855*y + 43. Let g(t) = -9710*t - 109. Determine -5*d(b) - 2*g(b).\nAnswer: -4855*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 5. Let p = 6.025 - n. Round p to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 1, a: 3, j: 2, e: 3, u: 2}. What is prob of picking 2 a and 1 e?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkuukuukkuu. Give prob of picking 1 u and 2 k.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 + 195*f**4 + 7062*f**3 + 31106*f**2 + 16617*f - 54981 = 0. Calculate f.\nAnswer: -149, -41, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(-1 + sqrt(208)) - (sqrt(208) + (0 + sqrt(208) - sqrt(208))*2 - (sqrt(208) + sqrt(208) + (sqrt(208) - (sqrt(208) - (sqrt(208) + 0))) + 0)))**2.\nAnswer: -192*sqrt(13) + 3364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 6*y - 3*x + 168, 2*y - 4*x = 196. Calculate the smallest common multiple of y and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*q = 78, q = -3*q - 12. Do y and -31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3)*(0*u + u + 1 - 2 + (7 - 3 - 7)*(2 + u - 2)) in the form t + f*u and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-264)\/308)\/(30\/(-14)). Factor -14\/5*q - 16\/5 + v*q**2.\nAnswer: 2*(q - 8)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 3*k - 6691626 + 6*k.\nAnswer: 2*k - 6691626","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1116 and 10292?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:39 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23230251 (base 6) to base 15\nAnswer: -e323d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209115526.1 rounded to the nearest one hundred thousand?\nAnswer: 209100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/12)\/(4\/30). Suppose 0 = 9*s + 4*s - 156. Let v(r) = 10589*r + s - 10588*r - 5. Determine v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39598 and 8711560.\nAnswer: 8711560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.93 + -0.07. Let o = -37 - -36.05. Let t = o - 0.05. What is the third smallest value in z, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = k - 2*k, 3*k + 5*v + 47 = 0. Let i be (21\/28)\/(22\/k + 1). Solve u - 3*w + 2 = 0, 2*w = 4*u + 7*w - i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 24*y - 2*h = 11, -h - 10 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 102 - 1943?\nAnswer: -1841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -86. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2356)\/95*10*(-3)\/(-24)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k - 12, -5*h - 74 = -3*k. Let d = 13 + h. Suppose 143*x + 248 = 27*x - 1260. Which is the third biggest value? (a) d (b) x (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59 and -0.0738.\nAnswer: -4.3542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 1:59 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463111722?\nAnswer: 2, 3, 17, 504479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + 2*sqrt(175) + sqrt(175) + 4)**2.\nAnswer: 210*sqrt(7) + 1619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m**2)*((-556 - 376 + 259)*(-3 + 0 + 1) + 5 + 3 - 4 - 2 + 5 - 1).\nAnswer: -1352*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -26*d + 17. Let x be i(-11). Suppose 0 = 9*o + 51 - x. Calculate the highest common factor of o and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119449319\/6 or 19908220?\nAnswer: 119449319\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -14, -1\/8, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2524*j - 42072 - 30073 - 33863 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -204430 (base 14) in base 4?\nAnswer: -10021133122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i + 84*i - 42*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 2*v**2 - v. Let p be l(-2). Let o(m) = m**2 + 3*m - 6. Let a be o(-5). Let t(g) = a*g - g - g**2 + 2 + 2*g**p. Determine t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 8. Let s be i(4). Let z = -3 - s. Solve -2*n = -n - z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 83\/((14\/(-4))\/(-7)*(11 - 9)). Calculate the greatest common divisor of 39757 and w.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 362238 - -7?\nAnswer: 362246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 34\/159 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-13 + 12 - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.1 (c) -3 (d) 1\/96 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00354137 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 1\/8*j**3 + 1\/16*j**4 + 11*j - 3\/8*j**2 - 3\/80*j**5 + 0. Suppose g(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lazz when four letters picked without replacement from lflzzlzlla?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 2 - 2. Let r(m) = 4*m + 1. Let h(v) = -17*v**2 + 8*v + 2. Let y(u) = -h(u) + 2*r(u). Calculate j(y(d)).\nAnswer: 289*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*p - 107*p - 1546 + 97 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(700) + (3*(sqrt(1008) - sqrt(28)))**2)*5.\nAnswer: -94545 - 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1832 divided by 7444.\nAnswer: -458\/1861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1*-5 + -5*sqrt(136)*-2)\/(((sqrt(160) - (sqrt(160) - sqrt(160)*-2) - sqrt(160))\/sqrt(5))\/sqrt(4)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2*k**3 + 97*i*k**3 + 2606*i + 5*k**3 + 321623 with respect to i.\nAnswer: 4*i*k**3 + 97*k**3 + 2606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 265 + -275. Put -1, 1, z, 2 in ascending order.\nAnswer: z, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2530 or -53120\/21?\nAnswer: -53120\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n**4 + 0 + 3*n**2 + 11*n + 7\/6*n**3 - 8\/5*n**5. What is the first derivative of o(g) wrt g?\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(2\/(14\/1)))\/(((-12371)\/139)\/(-89))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, h: 11, e: 1, k: 2}. Give prob of sequence kkj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7*q**3 - 136*q - 1183*q**2 + 0 + 1182*q**2 + 2 + 130*q to w*q**3 + f + m*q + a*q**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1046 - -1349. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*z + 16*z + 3*r + 141, 4*z = -17*r + 7*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**7\/175 - a**6\/150 - a**5\/150 - 40*a**2 - 6. Find q, given that g(q) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from {r: 3, y: 8, o: 2, w: 1, u: 1, j: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 - 1489 = -77*p + 574 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*r = -3*r - 65, -4*r - 60 = -4*z. Suppose j - y = 0, z = 5*j - 0*j + 5*y. Factor 0 - 1\/3*o**4 + 1\/3*o**j - 1\/3*o**3 + 0*o + 1\/3*o**5.\nAnswer: o**2*(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:42 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m + 1. Suppose 3*r = 10 - 4. Let t be v(r). Suppose 5*k + 6 = -q - 2*q, 0 = 4*q - k - t. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -864*v**3 - 756504*v**2 + 630645*v\/2 - 32850.\nAnswer: -3*(v + 876)*(24*v - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(6\/7)\/g)\/(g*(g\/(g**(-29)\/g))\/g*g)*g**(2\/33)\/g*g\/(g*g\/g**18) assuming g is positive.\nAnswer: g**(-3715\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 5)*(119*l - 187 + 187) in the form g + a*l and give a.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-9) + 118\/(-240). Let d = n - 57\/40. What is the third smallest value in d, 4\/9, -1\/11, 5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174949 - -13.4\nAnswer: 174962.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*5*(-2*sqrt(76)*1 + sqrt(76) + 0)*4 + 4)**2.\nAnswer: -480*sqrt(19) + 1094401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p + 6177 = -75*p - 81*p + 14*p for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 4*t = -16*j, -2*j + 4*t = 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81477 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12925282 to the nearest integer?\nAnswer: 3595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.004134 centuries to months.\nAnswer: 3604.9608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -952 + 953. Let z = -0.87 + 0.17. Which is the second smallest value? (a) q (b) 2\/13 (c) z (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3000574*z**3 - 5590479*z**2 wrt z?\nAnswer: -18003444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7898359.37 to the nearest 100000.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 224911920 divided by -10160\nAnswer: -22137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1166 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-20) + (-48)\/(-70).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**9\/y)\/y)\/y)\/y**7*(y**1)**(-2\/5) assuming y is positive.\nAnswer: y**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 63*l - 243. Let v be 12\/(-8)*4200\/180. Give g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 18*v**2 + 21*v + 38. Let b be s(-19). Suppose f = -h + 1482, b = 11*h - 8*h + 4*f - 4449. List the prime factors of h.\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -3\/4, 3\/16, -0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = -17. Let i be -2*1 - (-306)\/g. Suppose d + 5*n = 4*n + 22, 0 = 4*n - i. Calculate the remainder when 68 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*o = -10, -12*o + 7*o = 3*a - 44. What is the lowest common multiple of a and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**3\/3 - 3*t**2 - 10*t + 2. Let s be m(8). Let p = -61 - -67. What is the greatest common divisor of s and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 104 + 388 + -551.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - z = 504, 3*z = -5*c + 2*z + 639. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28090*d**3 - 2*d*h**2 + 98735*h**2 + 2*h wrt d.\nAnswer: 84270*d**2 - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/8 - 325*x\/8 + 163\/4 = 0?\nAnswer: -326, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -236, -196, -160, -128?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - -3268)*6\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 - 54*v**2 + 1533*v + 1584 = 0.\nAnswer: -33, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3629 = -1691. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -39*q - 314. Let x be o(-8). Sort 9, x, -43 in descending order.\nAnswer: 9, x, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhohohyfyyjjoyd. Give prob of picking 1 d, 1 o, and 1 h.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 30 = -5*h, 0 = -4*h + 2*d - 10 + 32 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-56)\/10)\/(1\/(-5)). Suppose -5*j - 2*w = -u, -j + 2*w - 6 = -2. What is the remainder when 1\/(-3) + (-66)\/(-9) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - 4)*11*-1. Let z = j + -63. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8289154507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6 - 17*d - 2 - 3. Let r(t) be the first derivative of t**2 - 100423. Determine z(r(l)).\nAnswer: -34*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*q + 1)*(2*q**2 - q + q) + (-q + 3*q + 2*q)*(-1002*q**2 + 666*q**2 - 803*q**2).\nAnswer: -4548*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 10*b = -527. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*k**2 + 1328*k + 528.\nAnswer: 4*(k + 66)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (236\/(-531))\/(2\/(-3)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6707954.236 and 21701.\nAnswer: 6729655.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178 - -310. Calculate the smallest common multiple of 48 and q.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f*h*l*u**2 - 32*f*h*l*u + 2*f*l*u**3 + 9*f*l*u - 3*h*u**3 - 94*l wrt h.\nAnswer: 4*f*l*u**2 - 32*f*l*u - 3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*t - 4)*(1 - t - 1)*(-6*t**2 - 2*t**2 - 7*t**2).\nAnswer: -45*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*o - 1466 - 3354 + 1075 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-28)\/(-4) - 1. Let i(s) = s**3 - 6*s**2 - 3*s + 13. Let d be i(u). Put 3, 5, d in increasing order.\nAnswer: d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*k**5 - 2*k**3 - 59*k**2 - 63614*k?\nAnswer: -2040*k**3 - 12*k - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 259 (b) -11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 169325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152498904 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 341 divided by -11\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -c - 10, 2*i + 6 + 20 = -4*c. What is the hundreds digit of i\/(-14) + (-1700)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3.11 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -19 (b) 3 (c) -776 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 44*h + 22. Let w be q(-22). Suppose -3*x - 13 = -w. Solve x*v + 3 = -0*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-20 + 32) - (-2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 5 - b - 2 + b**2. Let k(p) = p**3 + 7*p**2 + 3*p - 13. Let r be k(-6). Let x be l(r). Is x < -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7980\/(-340) + 19 - (-5 + 0). Which is the fourth biggest value? (a) i (b) 9 (c) 0.3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**2 - 8382*y**3 - y**2 + 8384*y**3 - 4 + 2*y**4 - 6*y to p*y**4 + q + j*y**3 + k*y + f*y**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 7*w. Suppose -4 = 3*g + 5. Let m(n) = -n**2 - 5*n + 1. Let q be m(g). Let a be f(q). Solve 0 = -3*o - 5*i - 14, o + 4*i + 3 + 4 = a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**8\/((n*n**(-8))\/(n*n**7)) assuming n is positive.\nAnswer: n**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39714 and 13002?\nAnswer: 86060238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, 4, -0.12, 17, 0.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -20 in descending order.\nAnswer: 4, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1214678, -1214694, -1214718, -1214750, -1214790?\nAnswer: -1214838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/9 in -2\/7, -2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (558*l**2 + 2162378*l - 2162378*l)*(4 - 3 - 2) - 3*l**2 - l**2 + 6*l**2 in the form s*l**2 + t*l + x and give s.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttnnn. What is prob of picking 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100244424 + 0?\nAnswer: -100244424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -30*p + 2. Let r be f(-4). Let o = r - -4. Calculate the greatest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) -8.3 (b) 5 (c) -2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -510, -494, -486, -492, -518?\n\"Answer: -n**3 + 2*n**2 + 17*n - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3954.49 tonnes in micrograms?\nAnswer: 3954490000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59445 - -59440.9191. Let o = 0.0109 + q. What is o rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**3 + 8*c**2 - 5*c + 2. Let h(o) = -o**3 + o**2 - o. Let v(u) = g(u) - 5*h(u). Let l be v(3). Let k = 1 + l. Solve -t - 20 = k*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c78 (base 15) to base 2\nAnswer: 11001010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -60*b**3 + 5*b**2 - 9*b + 82. List the prime factors of l(-6).\nAnswer: 2, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 601*h - 16. Let x(n) = -1. Let q(v) = i(v) - 3*x(v). Is q(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -34\/13*c**2 + 2\/13*c**3 + 34\/13 - 2\/13*c = 0?\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16608 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31955 is divided by 194.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 6, h: 7}. Give prob of picking 1 r and 1 i.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47 and 99\/316.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.059513*0.5.\nAnswer: -3.0297565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*k + 2785, -2*k + 5*k = -v - 685. Let p be -1 + -2 + 4 - v\/(-10). Let l = -895\/13 - p. What is the biggest value in -0.3, l, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/59251455 and 47\/39500970?\nAnswer: 118502910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120))\/(sqrt(6) + 6*sqrt(24) + sqrt(6)))**2.\nAnswer: 20\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + 0.07. Let y = m + 0.2. Which is the smallest value? (a) -0.5 (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-9)\/6)*-4. Suppose -r - 5*x = 0, -5*r - p*x = -0*x. Let h be 2\/(-3) - (-26)\/39. Solve -4*b - j - 6 = -r*b, 2*b + 2*j = h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14811 = -4*p - 6389. What is p rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from ppprjprjpjpruppujur.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 649 (b) -1\/3 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.1 and -7743.64.\nAnswer: -7742.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + w - 8. Suppose 2*u - 17*u = 0. What is s(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:09 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*o, 2*h - 198*o + 202*o = 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3757 and 465205.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7419337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31011*d - 7*a = 31007*d - 87, 3*d - 3*a + 36 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342 times 0.3?\nAnswer: -402.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*x, -2*n + 156*x = 155*x. Suppose a = 4*d, -5*d + 6 = -4*a - 5. Let f be -1*1*d\/(-3). Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 2*r**2 + r - 4. Calculate y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 1. Let v be d(-2). Find the third derivative of -3*m**2 + 5*m**2 - 4*m**3 + v*m**3 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5373 and 10382427.\nAnswer: 31147281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = 9*k - 60. Suppose -2*m - 296 = 3*v, 315 = -3*v + k*m + 24. Which is greater: -99 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50044.82347 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1826498 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 25*i - 5. Calculate p(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -63, 17, -2, 61, 0 in descending order.\nAnswer: 61, 17, 5, 1, 0, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 3. Let s(q) = 2*q - 5*q - 17 + 2*q + 23 - 7 - q**2. What is -m(z) + 2*s(z)?\nAnswer: -2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 + 5*n**2 - 6. Let b = 7 - 4. Let j(o) = -5*o**3 + 0*o + b*o + 6*o**2 - 7 - 3*o. Calculate -7*g(k) + 6*j(k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 399 + -200. Let r = s - 199.1. Let x = -0.1 - -0.1. What is the closest to x in 8, -4\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Calculate the remainder when n\/(1 - (-16)\/(-15)) is divided by -2*5\/(15\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from {p: 2, w: 2, q: 7}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002117 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 457 + 303. Suppose -3*v = -2*v + 5*r - m, -2*v + 1542 = -r. Does 70 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -20. Suppose 0 = n*g - 7 - 13. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 1912 + 7240 = 0. What is the lowest common multiple of 8 and z?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 11, 2\/11, -144.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13767016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 265831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*p - 43*p + 6 + 24)*(7*p**2 + 6*p**2 - 5*p**2).\nAnswer: -8*p**3 + 240*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*o - 20, 23*c - 20*c + 5*o + 15 = 0. Put 14, c, 1, 5, -7 in increasing order.\nAnswer: -7, c, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153988*z - 6149 = -154131*z for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -10. Suppose 24 = -r + p*r. Let b = 13 - r. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h - 128 = -57*h. Suppose -105*z + h = -104*z. What is the third derivative of z*w**5 + 14*w**5 - 4*w**5 + 37*w**2 wrt w?\nAnswer: 2520*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 22*s + 1560. Let r be i(-52). Solve 48*p - 3*p + 225 = r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, -280, -707, -1516, -2833, -4784, -7495, -11092?\n\"Answer: -21*y**3 - 2*y**2 - 18*y - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -59 (b) -5\/6 (c) 1\/2 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 divided by 44?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47555 is divided by 1211.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884 = 133*x + 219 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/((-624)\/13)*3\/(3\/(-44))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g*g**(-4\/5)*g))\/g))\/(g*g*(g*g*g\/((g*g**(3\/4)*g*g)\/g)*g)\/g*g))\/((g\/((g\/((g*g**(-14\/9))\/g))\/g*g))\/(g\/g**(-12))) assuming g is positive.\nAnswer: g**(2431\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjbj when four letters picked without replacement from bfbjbbjjjbb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111001011000010 + 1010001110?\nAnswer: -1101111000000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315.7389 kilometers to millimeters.\nAnswer: 315738900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 32*r - 202. What is f(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/(10\/(-15)). Let y = 3 + k. Solve y*q - 5 = 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from oookookokkppkookokoo.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 16*n\/5 + 72.\nAnswer: -2*(n - 10)*(n + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17059 by 1.\nAnswer: 17059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26468115.\nAnswer: 3, 5, 1764541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2600\/390)\/(4\/(-6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 2 = 59*v. Solve 0 = -3*g + 5*j + 9, v*g - 9 = -3*g + j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791373.6ng in micrograms?\nAnswer: 791.3736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 45*q = -h + 30*q + 2, -2*q + 346 = -59*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5091?\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -6*p - 6*f, 1883*f + 25 = 5*p + 1878*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 462 - 63 = 0. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*t - 20*t + 42. Let m = -23 + 51. What is the greatest common factor of m and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1019? (a) -0.05 (b) -3\/5 (c) -392\/9 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 4. Let f(z) = 31*z**3 + z**2 - z. Let k be f(1). Let a = k - l. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**2 + 32568 - 12*t**3 + 14*t**2 - 32568.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2948 and 1340?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-27)*-3)\/((-7)\/21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -2679136.\nAnswer: -9\/2679136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -10*i - 7. Let d be o(-2). Solve -15 = -5*t - 5*f, -3 - d = 3*t - 2*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 5*j. Let v = -15 - -9. Calculate the lowest common multiple of 20 and q(v).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2010012*o**3 - 1005009*o**3 - 1005004*o**3 + 54.\nAnswer: -o**3 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:43 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -6 (b) 0.4 (c) 1 (d) -215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - -114. What is the units digit of (13 + 6)\/((-10)\/x - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1162424 divided by 145303\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b\/b**(-1\/4))\/b)**(-1\/7)*b\/(b**(-4\/3)*b*b)*(b**1\/b)\/b)**(-5) assuming b is positive.\nAnswer: b**(415\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9744517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m = -10*m + 112 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from jjii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 680562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -2*h**5\/25 - 21*h**4\/10 + 2*h**3\/15 + 21*h**2\/5 + 3379. Determine l so that i(l) = 0.\nAnswer: -21, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + 1. Let r = 50 - 90. What is the remainder when x(-4) is divided by 6\/10 - 696\/r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8325 (base 13) to base 8.\nAnswer: 43302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3311673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j**3 + 3*j + 12*j**3 - 4*j - 11*j**2 + 4*j**4 + 8*j**2 to w*j**2 + t*j**4 + m + l*j**3 + q*j and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3390.0528 - 3394.2. Round g to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016 divided by 84?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57774 > 57788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/11710 and 35\/73004824.\nAnswer: 365024120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-13)*160\/((-37440)\/1521)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -989, -1082, -1175, -1268?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316614, 316297, 315980, 315663, 315346?\nAnswer: 315029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 761 = 5*g + 3*w, 765 = 5*g + 5*w. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsr when three letters picked without replacement from {r: 1, x: 2, s: 3, p: 4, n: 1, l: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752 divided by -292?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51668 + -29257. List the prime factors of q.\nAnswer: 73, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4328646776 to the power of 1\/3, to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 21294 = 3*t, t - 5*l = 4*t + 21290. Round t to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/3, -233 in increasing order.\nAnswer: -233, -1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3129 + -4.6129. Which is the closest to -0.1? (a) -0.3 (b) w (c) -1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*z = -879, -3*c + 2*c + z = -225. Suppose -4*u = -702 + c. Let k = u - 35. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 122574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85731573 is divided by 85731571.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 6) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -448 - -392. Let x be 2\/(-7) + (-7408)\/g. What is the greatest common factor of x and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*a - 6994 - 2970 = 1212 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*o - 5*v + 4, -2*o + 1 = -v. Let m(w) = -w - 4. Let a be m(-6). Let y = o + a. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*l - 5*g, 3*l - 49 = -0*l - g. Suppose 51 = -3*k - k - 5*d, -l = k - d. Let p = 18 + k. Solve 4*h - v - 29 = -h, p*h + v - 16 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 572 = -32*t + 28*t, 2*s + 4*t - 236 = 0. Suppose s = -54*h + 56*h - 4*j, 4*j = -5*h + 322. Solve 22 - h = -8*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 5*k - 167. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453685 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + z**2. Let b(v) = -v**2 - 2. Let c = 438 + -440. Determine c*y(r) - b(r).\nAnswer: 2*r**3 - r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Suppose 3*q + 5*i - 19 = f, 3*q - 26 + 9 = -4*i. Suppose -q*r - 2*r = 0. Solve r*s - 2*s = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 2:07 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 447669 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - y**2 + 0*y**2)*(3*y - y - 4*y) + (1 - 4 + 1)*(393 - 7*y**2 - 393 - 2*y)*(15 + 3 - 27 - 4*y).\nAnswer: -52*y**3 - 142*y**2 - 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 1, d: 1, y: 2, h: 2}. What is prob of sequence eh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 51. Let b = -14 - -16. Suppose -6*i + b*i + 48 = 0. What is the remainder when j is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 0.01, -1\/6, -0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 23*p**2 - 1 - 13*p - 6 + 3 - 9. What is the units digit of t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - z + 1)*(-3*z + 3*z - 2*z) + 7*z**2 - z**2 + 0*z**2 + (0*z**2 + 0*z**2 - 4*z**2)*(89 - 54 - 84).\nAnswer: 204*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000515882 rounded to five decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Solve -5*w + k*c = -30, 5 = 2*w + 2*c + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/2 + 1 + 14. Let k(b) = b - 10. Let r be k(l). Let c be -1 - 0 - (-102)\/r. What is the highest common factor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1029980 and 70?\nAnswer: -72098600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**19)\/(h**(2\/49)\/h*h) assuming h is positive.\nAnswer: h**(-884\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -416 - -1247\/3. Let v = -0.03 + 0.33. Let j = v + -0.7. Which is the smallest value? (a) 0.8 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.9218 - -0.0218. Round s to one decimal place.\nAnswer: -14.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = 2*r. Suppose 0 = 2*v - 6*v + r. Is v greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + -5*-4*1*1*(-1 + sqrt(243))*-2)**2.\nAnswer: -30240*sqrt(3) + 390569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - -6)*2\/4. Let t(p) = p**3 - 9*p**2 + 8*p + 3. List the prime factors of t(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, a: 4}. What is prob of sequence ax?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 + 98. Sort -4, 2, a in decreasing order.\nAnswer: 2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -608, 0.3, -0.3 in descending order.\nAnswer: 0.3, -0.3, -608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 times -32.83\nAnswer: 141.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -135 - 5?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5414, 5412, 5408, 5402, 5394, 5384?\n\"Answer: -t**2 + t + 5414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -583 * 1.6\nAnswer: -932.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {s: 1, v: 1, g: 1, k: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/1395 and -52\/2511.\nAnswer: 12555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/488107063?\nAnswer: 2\/488107063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:20 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42240 and 95040?\nAnswer: 380160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 26661.\nAnswer: 79983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -18. Suppose -2*g + 82 = 2*o, h*g - 156 = 5*o - 41. What is the greatest common divisor of g and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00344688644 to four dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*d - 93*d - 128 = 0. Differentiate d - 2*p**3 + p**3 + 32*p + 3*p + 9 wrt p.\nAnswer: -3*p**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**6\/120 - h**5\/10 - h**4\/8 - 3*h**3\/2 - 7*h**2. Suppose -g + 159*k = 156*k + 17, 5*g - 2*k - 19 = 0. What is o(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100001110000 (base 2) in base 3?\nAnswer: -22120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46005*l**3 + 3*l - 3*l - 46033*l**3.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*g*h - 22047*g - 48424*h - 3 wrt g.\nAnswer: -12*h - 22047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1494*x - 216*x**3 + 1481*x + 27 + 1548*x**3 wrt x.\nAnswer: 7992*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (19 - (-6 - -14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -527839\/1899 less than or equal to -277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317320942 is divided by 105773644.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199 + -198.7. What is the fourth biggest value in 2\/7, -0.4, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980757272.\nAnswer: 2, 11, 47, 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1914 - -0.0914. Which is the closest to 0.1? (a) n (b) 2\/3 (c) -11 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8542884 divided by 1423814?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 2754 = -18*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112629?\nAnswer: 3, 11, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3\/(-1629)*3). Suppose -z = -i - 176. Solve 0 = i*n - 9 - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 20*n + 17. Let r be y(19). Let v be r - (3 - 4) - 7. Let w be 10*2\/v*-2. Solve -6 = a - w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9076644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13025728 = -125*s + 13038728 for s.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23049154 and 1096.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2 - 137*k - 21. Let m be u(23). What is the third derivative of -165*g**3 + 50*g**2 - 119*g**3 + 16*g**m wrt g?\nAnswer: -1704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31175 - 0?\nAnswer: -31175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 32*t - 14079 = 0. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150647012 to the power of 1\/3, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 1\/((-104)\/20 + 5). Let b(v) = v**2 + 3*v. Calculate the least common multiple of b(k) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 - -157. Let h be (-16)\/v + (-4)\/(-14). Suppose h*w + 4*z - 62 = -w, w = 2*z + 56. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*18\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, r: 10, l: 3, g: 3}. What is prob of sequence gg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 125307757 and -0.1?\nAnswer: 125307757.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m = 204*m + 6794 - 25919 for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1211312, 2422567, 3633830, 4845101, 6056380, 7267667?\n\"Answer: 4*k**2 + 1211243*k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 10:15 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-66)*0*(-1)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1025505469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 689 and 593344063?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1412425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2429\/5 in 0.3, 0.29, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/((-33)\/(-308))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/71322 and -12\/225853?\nAnswer: 1355118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 9, x: 9, s: 1}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (7 + -5 + 1). Suppose d = -17*k + 22*k - 70. Calculate the remainder when 64 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 91024.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -428 - -431. Solve -i - 5 = -v*u + 5*u, 3*i = 4*u + 25 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -71 + 31. Let g be (y\/(-75))\/8*4*3. Is g bigger than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 6*s - 125. Let r be h(-14). Let n = r + 1051. What is the greatest common factor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(19)*-2)**2 + -1.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = -7*q. Solve 5*j - 5 = 2*k, 5*k + q*j - 4*j = 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y**3 - 50*y**3 - 2*y - 7*y**2 + 29*y**3 - 1 + 0*y as o*y + n + x*y**3 + d*y**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -345.97 - -346. What is the fourth smallest value in 1, 8, 0, l?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372692769 divided by -124230923?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31530037 to the power of 1\/2, to the nearest integer?\nAnswer: 5615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -7*k**8\/24 + 13*k**7\/15 - 17*k**6\/20 + 3*k**5\/10 - 15*k**2. Factor o(u).\nAnswer: -2*u**2*(u - 1)*(7*u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/60 - 13*d**5\/30 + 7*d**4\/6 + 118*d**2. Factor i(k).\nAnswer: -2*k*(k - 1)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/420 + c**4\/84 - c**3\/42 + 2*c**2. Factor y(z).\nAnswer: -(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 35 = m. Let g(k) = k**2 - 22*k + 45. Calculate the remainder when m is divided by g(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 40\nAnswer: 29\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 2:53 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p**3 + 17*p**3 + 27*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -24 + -18*(-2)\/6. What is the third smallest value in -1.1, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -350966 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 1 (c) 0.4 (d) 23 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) -1\/8 (b) -19 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 7. Let r be (-3)\/(-2)*32\/(-6). Let w be d(r). Put 0.1, 1, w in descending order.\nAnswer: 1, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 5*a - 27. Let g be d(3). Suppose g*s = -s + 10928. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**4 - l**4 - 73 + 2*l**4 + 9*l**2 - 4*l**4 wrt l?\nAnswer: -16*l**3 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -502 + 622. What is the least common multiple of o and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 1:57 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897153.\nAnswer: 3, 97, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20632060 and 20548.\nAnswer: 226952660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.8 or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {n: 2, u: 6, p: 2, k: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019347009 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.13 + 0.13. Let g = -5 - b. What is the smallest value in -2\/9, 1\/6, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -254642 and 0.048?\nAnswer: 254642.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t. Let o be (-1)\/(-6) + 22\/12. Let d = 0 - -2. Let m(c) = o - d + c. Determine s(m(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:46 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/12*-2*6. Let w(q) = q**3 - 4*q**2 - 5*q + 4. Let u be w(5). Suppose 0 = u*v - f*t - 7 - 13, 18 = 3*v - 3*t. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5254 is divided by 239.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17654092 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 626 + 208. Suppose 10*p - 12*p - n = 0. What is p rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/6 - 11\/33 - (9 - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**3 - 12*p**2 + p + 3. Let s be f(-3). Calculate the greatest common factor of s and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/5 + 4263*x**4\/5 - 6556478*x**3\/5 + 4221809228*x**2\/5 - 920410691928*x\/5 + 3614512344352\/5 = 0.\nAnswer: 4, 437, 1274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436172 is divided by 1592.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 0.007?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2228 divide 132958128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 198421 to the power of 1\/2, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3)*d)**(2\/19)\/((d\/(d*d**(4\/3)*d*d))\/d*d*d**(4\/7)\/d)*((d*d*d*d**1*d)**(12\/7))**(2\/25) assuming d is positive.\nAnswer: d**(9223\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2552088 is divided by 42533.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 2:19 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1282 divide 5232793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 0. Solve -2*s + 5 - y = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**5 - 83*s**4 + 76*s**3 + 4*s**2 + 9966*s - 1.\nAnswer: 120*s**2 - 1992*s + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6\/8 - 170\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/457 + 445\/1828. Let x = -6 + 12. Suppose 0 = -x*f + 8*f - 20. Which is the biggest value? (a) f (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58902 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 9:48 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**4\/24 - 6*j**2. Let c(k) = -18*k. Determine a(c(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2657 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + o - 6, -3*d + o = -3 - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + ((-7 - 13) + 14 - -19) + -4.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 7*k**2 + k + 2. Suppose 4*x - 3*r = -16, 0 = -3*x + 11*r - 16*r - 41. Let d be w(x). Put 3, d, -3\/4, 2 in descending order.\nAnswer: 3, 2, -3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 21712*l + 21712*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 14. Let f be i(-10). Let h(y) = -y**2 + 2*y - 6. Let a be h(f). What is the tens digit of 4\/(-30) + (-454)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(252) + sqrt(441)\/sqrt(252))\/(sqrt(3600)*-1*-3).\nAnswer: 37*sqrt(7)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 48.2823 rounded to zero decimal places?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -4*s**2 + 11\/4*s**4 + 7 - 83\/60*s**5 + 0*s + 0*s**3. What is the second derivative of r(m) wrt m?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Solve 0 = -q - 0 + w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/184 and -25\/292.\nAnswer: 13432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a decade in months?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*c - 36 - 24, 48 = -2*c - 4*z. Let b = 11 + c. Let d(l) = -3*l**2 - 5*l. Let g(u) = -u**2 - 2*u. Let y(m) = 2*d(m) - 7*g(m). What is y(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 - 19 - 35)*(2 - 2 + 2)*(5*g - 4*g + 0*g)*(-1 + 2 + 2).\nAnswer: -624*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/24 and -1 + (-20)\/128*(-284)\/60?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, f: 1, e: 2, t: 1, l: 1, k: 2}. What is prob of picking 2 k and 1 p?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48730816 and 0.4.\nAnswer: -48730815.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*i - 91*i - 73*i - 76*i)*(-272*i - 24*i**2 + 272*i) to t*i**3 + m + s*i**2 + g*i and give t.\nAnswer: 4968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2575)\/206*(-6)\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70131 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atv when three letters picked without replacement from {a: 2, t: 9, v: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, 0.0966, -41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 4*n - 650 = 0. Let d = -8 - n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 1295058*g + 14245567. Calculate p(11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-169)\/65 - -3) + (-114)\/10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/48 and 1*(-6)\/14 - (-1485)\/(-3640).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -8, 10, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 + 24*u**3 + 39*u**2 + 18*u.\nAnswer: 3*u*(u + 1)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + 0.5. Let g = a + -2. Let u = 0.1 + g. Which is smaller: u or 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x + 143. Determine g(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*n - 3*t, 11 = 5*t - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, -2, -2\/15 in descending order.\nAnswer: 7, -2\/15, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 61*k**2 + 470*k - 378. Give c(-68).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 1\/4, -0.04, 361?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124\/(-31)*(-20)\/30?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 191*p**2 + 177*p - 2835. Let z be l(-192). Calculate the highest common divisor of z and 4977.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1854.7 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317637 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.218 and -3009?\nAnswer: 3009.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -187, -4, 66, 2 in descending order.\nAnswer: 66, 2, -4, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 9:28 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/689 and -6\/7?\nAnswer: 4823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 1, d: 3, p: 6, v: 1, b: 4}. Give prob of picking 2 q.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.55563 centimeters in millimeters?\nAnswer: 645.5563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113630575 to the nearest integer?\nAnswer: 10660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/420)\/(2\/(-20))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67445651.\nAnswer: 7, 13, 163, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g - 125. Let l be m(-17). Put -3, 3, l in decreasing order.\nAnswer: l, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*b = 0, -7 = p + 3*b + 4. What is the second derivative of 3*d**4 - d**5 + 9*d - 3*d**p - 7*d**5 wrt d?\nAnswer: -160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70468.\nAnswer: 2, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 208660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, 368, 722, 1076, 1430, 1784?\n\"Answer: 354*v - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5836, 11905, 18202, 24727, 31480, 38461, 45670?\nAnswer: 53107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -4 (b) 60 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6605 is divided by 6605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 2*o + 24. Solve -o*d = -8, -6*d + 3*d - 3 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29185097 is divided by 3460.\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a factor of 303131764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + (1 - -1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470949355 to the power of 1\/2, to the nearest integer?\nAnswer: 21701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 8*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:33 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**2 + 165*x - 8 - 165*x)*(3 - x - x**2 + x).\nAnswer: 8*x**4 - 16*x**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 0*r + 0*r**2 - 4\/3*r**3 + 5. Let c(u) = -3*u**2. What is m(c(h))?\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 11) to base 8.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -10 - 1) + -5 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124724 times -1?\nAnswer: -124724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1414 (base 5) to base 15\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29446*0.3\nAnswer: 8833.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(9\/(-18)). Let y be 4\/(-6)*f\/2. Let t = -1.252 + 1.452. Sort 3\/2, t, y in decreasing order.\nAnswer: 3\/2, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 9:09 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*m = -8, 1 - 15 = -3*h - 2*m. Let s(x) = -x**3 + 0*x**3 - 2*x + 481 + h*x + 2*x**2. Is s(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 225 - 65 - 132*q - 33 - 64.\nAnswer: -132*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344334 less than or equal to 5344334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227 - -257. What is the greatest common factor of 75 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 1005534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -18\/5, 0, -2\/105, -3?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/124 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z + 22 = -48*z. Let b(t) = -t**3 - 4*t**2 - 3*t - 1. What is b(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45 - c57?\nAnswer: -c12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.148 - 4.148. Which is the closest to -2\/7? (a) 3 (b) -6 (c) s (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182468347 + 273531641. Let v be m\/(-15) + 2\/(-10)*4. What is v rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 8620*q**2 + 34420*q + 34400.\nAnswer: 5*(q + 2)**2*(q + 1720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 - 9*n**5 + 2*n**5 + (74*n + 55*n - 172*n)*(n**3 - n**4 - n**3).\nAnswer: 35*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003413 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 + 18 = 0. Suppose -35 = -a*h - 5*r, r + 1 + 7 = 4*h. Suppose 2*k - f + 2 - 6 = 0, h*k - 4 = 2*f. Solve 2 + 10 = -k*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51131 is divided by 17032?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 48*f - 1183. Let r be o(18). Solve l + 2*l - 13 = r*z, 3*z - 5 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzwjwayyrjywryy. Give prob of sequence yr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 56*r + 360. Let o be f(-8). Solve 0 = o*a - 30*a + 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 243 = 22*z. Let t be 6*(-4)\/z + 115. What is the highest common factor of t and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16767667537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2190192 days to seconds.\nAnswer: 18923.25888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21663 (base 7) to base 8.\nAnswer: -12554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, 1.3, -0.2, -23 in descending order.\nAnswer: 3, 1.3, 0.4, -0.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -131\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from aedgdeggddddgetgddaa.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 879*v - 361*v + 813*v.\nAnswer: 1331*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5521.\nAnswer: 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7046 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.9. Let y = n + 0.9. Let h = y + 0.00000005. What is h rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0 + 4\/3*p**3 + 0*p + 7\/12*p**4 + 50*p**2 - 1\/60*p**5. Calculate b(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 3*b**2\/2 - 9. Let g(j) = -31*j + 17*j + 13*j. What is l(g(h))?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 0 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + (-8 - -14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = 27*f - 50 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Suppose q*w - 5 = -3*w. What is the units digit of 21*(-2)\/(w + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97173*q**3 + 35737*q**2?\nAnswer: -583038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1 + 1)*-1. Suppose -2*f = 3*r - 259, k = f - 3*r + r - 140. Round f to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*((sqrt(66)\/(sqrt(9)\/sqrt(3)) - sqrt(22))\/(sqrt(11) - (-2*sqrt(11)*-6 + sqrt(11))) + 5*sqrt(16)\/sqrt(8) + -4*sqrt(32))**2.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 110, 124, 138, 152, 166, 180?\n\"Answer: 14*w + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**3 - 144*c**2 - 2277*c - 11856 = 0?\nAnswer: -19, -16, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:33 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ololovvlooolololo. Give prob of picking 1 l and 1 v.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 8 = -c. Let h = -5 + c. Find the second derivative of -k**3 + 3*k**5 - 5*k**h - k + 6*k**3 wrt k.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m**5 + 880*m**4 + 6010*m**3 + 10620*m**2 + 6805*m + 1300 = 0. What is m?\nAnswer: -4, -1, -1\/3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 - 255\/35. Let z = a + 11. Solve -z*q = -8*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 54 and 50 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**4 + 1\/30*c**5 + 0 + 0*c**3 - 1\/105*c**7 + 0*c**6 + 0*c - 2*c**2. What is the third derivative of z(h) wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 26.6. Let x = y - -26. Let z = 0.3 - -0.7. Which is the second biggest value? (a) z (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4416778 and -45\/929848?\nAnswer: 17667112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 722963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -13 (b) 1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = a, -4 = -4*a + 7*a + 8*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/57 + (-340040)\/(-380) is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 - (-16 - (-17 + 782)) is divided by 48.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -877.9 - -878. Which is the closest to 1? (a) p (b) -5 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 5*a**8\/336 - 7*a**4\/24 - 3*a**2. Find the second derivative of v(i) wrt i.\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 16*c + 7. Let m be g(15). Suppose -15*b = -m*b. Solve b = -5*r - 4*n + 2, 0 = -5*r + 3*n - 1 + 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3\/5 + 22209748*b**2\/5 - 61659113277938*b\/5 = 0.\nAnswer: 0, 5552437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/95, -6, -1\/8?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 7 - (38 - 24 - 24) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*-1)\/sqrt(12)*-6 + -2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/5151323 and 85\/8?\nAnswer: 41210584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28.849 and 0.\nAnswer: 28.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.1349, 2290, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + 354 + -355?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11789 from 107.\nAnswer: 11896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Let g be 26 + -26 - 1*-4. Solve -m = -2*m + l*w + 3, g*m + w = 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**3 - 4*r - 6. Let p(x) = -2*x**3 - 2*x - 3. Calculate -6*n(f) + 11*p(f).\nAnswer: 2*f**3 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46152 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 46*z**3 - 4*z + z**2 + 1 + 2*z + 12*z**3. What is the tens digit of r(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-4 + 12 - (41 + -39) - 31)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -448 - -448.084. Let n = v + 156.616. What is n rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/7))\/((((o*(o*o\/(o*(o*o\/(o**(-3)\/o)*o)\/o)*o)\/o*o)\/o)\/o*o)\/o*o))\/(o**3\/(o**(-1\/9)*o)) assuming o is positive.\nAnswer: o**(200\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**7\/1680 + w**6\/240 + w**5\/240 - w**4\/16 - 3*w**3\/16 + 11*w**2 - 2. Factor a(o).\nAnswer: -(o - 3)**2*(o + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354514081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4320 = 7*n. Let b = n + -4293\/5. What is the common denominator of 50\/7 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -10*i + 41. Let b be c(6). Let t = 15 - b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*y + 81 = 0, -5*y + 12 = 3*t - 48. Calculate the remainder when 66 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 28.7. Let s = 3 - k. Let n = -12 + 9. What is the second smallest value in n, -2\/3, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*l + 4*l - 27, 4*i = -5*l + 26. Let u be 10186\/6 - l\/9. Suppose 3*c - u = 466. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 7*n**2 - 5*n - 4. Determine j(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3341405 (base 8) to base 3.\nAnswer: 1200211011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpppttpppptpt. Give prob of picking 1 t and 1 p.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1702\/5 + 341. What is the nearest to f in -13\/4, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**5 + 0*s**5 + 4*s**5)*(2 - 4 + 0) - 34 + 23*s**5 - 106 - 637073*s**4 + 637075*s**4.\nAnswer: 19*s**5 + 2*s**4 - 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8382158 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 5*u - 2. Let z(g) = -3*g - 1. Let o be z(-1). Let j be q(o). Sort 3, -2, j.\nAnswer: -2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + -3 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7048 - 58.8.\nAnswer: -7106.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198374\/79 or 2512?\nAnswer: 198374\/79","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2 + 11*b - 11. Give m(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 - 3449 - 3451 + 10351 - 3453.\nAnswer: -6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*(2*q + 0*q - 4*q) + 0 + q + 0 - 7 - q + 7 + (0 - 3 + 1)*(5 - 5 - q) + 190 - 190 + q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = 3*m + 4, 2*w = 4*m + 14. Sort m, 4, 12 in descending order.\nAnswer: 12, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -13*z**2. Suppose 3*o = 3*w - 12, -w + 1 = 2*o + 3. Let k(y) = 2*y + 0*y - y - w*y. Determine t(k(u)).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5 + (-2 + 2 - 1)*(0 - 1 + 0) - 1 + 6 - 4 - 3 + 2 - 1 - 1 + 2 + 0 - 3 - 3 - 2)*(-2*d - 2*d + 6*d)*(2*d + d - 2*d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835522 is divided by 208864?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 6*y + 6. Let g(n) be the third derivative of -n**4\/24 - n**3\/6 - 7*n**2. Give -a(u) - 6*g(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 75139 and 74979 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {h: 6, s: 6}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1545 - 0.0455. What is the closest to m in 2\/351, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3667, 3663, 3655, 3643, 3627, 3607, 3583?\n\"Answer: -2*z**2 + 2*z + 3667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-2478))\/(54\/243). Let q = 33459\/826 - z. What is the common denominator of q and 105\/68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 701471+-1713.412\nAnswer: 699757.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -5.9. Let u = k + -1.6. Which is the nearest to 0? (a) 0 (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 82?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88179 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 40 + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2304 is divided by 629.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (24 + -21 + 2 + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 7 - 8 + b**2 + b**2 as d + o*b**2 + x*b and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/3465*(-3)\/(-2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01201*21.\nAnswer: -0.25221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 6005\/30*-2. Let t = 2135\/6 + n. Let q = t - -43. Is q < 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -14*i**4\/13 - 287312*i**3\/13 - 2953768*i**2\/13 - 820480*i\/13 = 0?\nAnswer: -20512, -10, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 88?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*o - 3 + 13, -10*o = 2*k + 146 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccxcyzcszsssssss. What is prob of sequence xz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 101. Suppose -2*k - 21 = t, 0 = -7*k + m*k - 2*t - 33. What is the common denominator of ((-1935)\/(-100))\/k + -1 and 1\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*q = -17, t = -t + 2*q - 4. Suppose t = -2*a + 7*a + 3*m, 0 = -5*a + 4*m + 31. Solve 23 = -4*c + a*p, -5*p + 2 = -3*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**2 - 10*p**3 + 2 + 2*p**4 + 10*p**2 - 16*p**2 to the form h + n*p**4 + y*p**3 + q*p + c*p**2 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + ((-2)\/1 - -1)*-786 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 65 = 8*j. Let u = 5 - -7. Let d = u + -12.1. Which is the nearest to 0.3? (a) d (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 4. Suppose -2*c - p = -2*m - 2*m, -2 = -2*c. Suppose -2*n + 4*j = -32, -5*n - 4*j + m + 8 = 0. Solve q - r = -n, 5*r = -2*q - 2*q + 21 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 26\/15*h**5 - h**2 - 2*h**4 + 58 - 1\/168*h**8 - 64\/3*h**3 + 0*h + 17\/30*h**6 + 1\/35*h**7. Factor k(z).\nAnswer: -2*(z - 8)*(z - 1)*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - ((-4)\/2 - 2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 9:12 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*z + 1)*((13*z + 25*z - 24*z)*(2*z + 0*z + 0*z) - 8*z**2 - 12*z**2 + 7*z**2) as a*z**3 + d*z + j*z**2 + s and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + (-17 - -22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 3*g - 5. Let y be z(-4). Suppose -1 = -q, 29 = 4*p + 5*q - 0*q. Let u be (p\/(-4))\/((-9)\/90). What is the highest common divisor of y and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102165.\nAnswer: 3, 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 205*q + 3180.\nAnswer: -5*(q - 53)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11912.089 - 11918. Let s = o - 0.089. Which is the smallest value? (a) -1\/7 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 11*k - 26. Is o(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2220426931?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 7*r + 20 = 3*r, -5*d - 5*r = 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889*c - 5 = 890*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 - 3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-15 - -3) + (18 - (9 + (36 - -2)))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 8:18 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 + -185. Let m = k - 45. Solve n = -5*g + 17, -g + 14 = 5*n + m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 + 55. Let w be 2\/g*(-98)\/35. Let j = -14 + 21. What is the third biggest value in j, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -649*u**2. Let t(f) = -28441 + 2*f + 28441. What is t(g(a))?\nAnswer: -1298*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/4 (b) -5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 426 - 234. What is the greatest common factor of 48 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -33 (b) 4\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134100 rounded to the nearest 10000?\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.2782249 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*h = -41, h + 23 + 9 = 5*d. Suppose 963 = 3*j + 363. Suppose -6*m + j = 2*m. Solve -4*l = -3*u + m, 2*l - d = 4*u - 27 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-1 + 0) + 8 + 3. Solve 0*g - 21 = b*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12311477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*k - 4070, 3*a - 12*k + 11*k = 2450. Let v = a - 643. Is 35 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 3*k)*(-5 - 4 + 6) + (392 - 598 + 400)*(-4 + 4 + 2*k).\nAnswer: 385*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15*(-2 - (-34)\/5). Let u be (4\/h)\/(2\/(-4)). Suppose 0 = f + 2*f - 9, 4*j = -2*f + 6. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*z - 642. Suppose 0 = -7*c - 1 - z. Calculate the remainder when 4\/(-1) - 1029\/c is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*k + 11 - 11)*(-2 + 0 + 1) + (2 + 3 - 3)*((3 - 4 + 2)*(-3 + 2*k + 3) - k - 2*k + 4*k)*(-42 + 120 + 26) in the form x*k + a and give x.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460 by -5.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/47 - -43\/94. Let a = -0.04 + -0.36. Let d = -24.4 - -25.3. What is the nearest to p in d, -3, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 36*g + 24 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 662 = 35*z - 703. Is z less than or equal to 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4479, -4760, -5231, -5892, -6743?\nAnswer: -7784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -988, -947, -900, -853, -812, -783, -772?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 0 (c) 0.4 (d) 379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 8*f**2 + 5*f - 4. Determine a(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**4 - 100839*h**3 + 1713564*h**2 - 5644284*h + 5240976 = 0.\nAnswer: 2, 13, 33596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 2*j**2 + 3*j. Let b be i(-2). Let o be 4\/(-12) - 26\/b. Suppose -3*v - 4*q = -2 - 6, 0 = 4*v - o*q - 20. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 968890, 1937756, 2906616, 3875470, 4844318?\n\"Answer: -3*n**2 + 968875*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -79. Let g(v) = -5*v**2 + 11*v. Let a(u) = u**2 - 2*u. Let h(m) = j*a(m) - 2*g(m). Let k(p) = 25*p**2. Determine h(k(q)).\nAnswer: -625*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5219 + 10525 = -12*u + 4958 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5 - 32*p**4 + 88*p**3 - 112*p**2 + 68*p - 16.\nAnswer: 4*(p - 4)*(p - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**2 - 9*x - 5. Let p be q(2). Solve -a - 2*a = 3*b + 24, 36 = -4*b - p*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 856, 816, 776?\n\"Answer: -40*b + 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 19*a - 7. Let o(u) be the third derivative of -5*u**4\/6 + 7*u**3\/6 + 10*u**2. Let f(q) = 4*o(q) + 5*t(q). What are the prime factors of f(3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 4 = -24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36884 times -4\nAnswer: -147536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104968 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (18\/8 + (50 - 53))*(11492\/39)\/(-13)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r - 30. Let w(m) = 14*m + 31. Let f(k) = -5*p(k) - 4*w(k). What is the derivative of f(n) wrt n?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 314 and 153?\nAnswer: 48042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 55, 3, -6, -37 in descending order.\nAnswer: 55, 8, 3, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -999, -4026, -9069, -16128, -25203, -36294, -49401?\n\"Answer: -1008*t**2 - 3*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 6:42 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 15*m - 19*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292692 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17173 - 17156. Let z(n) = -4*n + 1. Let t be z(-5). Find the first derivative of 16*s - 18 + t*s - u*s wrt s.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-21)*(-1 - -2). Let p be (-5 + 19)\/(-7)*(-4)\/44. What is the biggest value in p, -0.3, z, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57567 + -73?\nAnswer: -57662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 13*u - 2. Give x(8).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -a - 1, -3*a + 4*w = 2*w - 25. What is the remainder when 19 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 - 2*g**3 + 55*g**2 + 140*g**2.\nAnswer: -2*g**3 + 173*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/((x*x**(-2\/3))\/x)*x*x)**(2\/39) assuming x is positive.\nAnswer: x**(34\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 338182*q + 676372.\nAnswer: -2*(q - 2)*(q + 169093)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*g = 0, 2*s + 2*g = -0*s + 20. Suppose 0 = y + s - 7. Suppose 0 = -y*x + 9*x - 42. Solve -d - x = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 343966*r**2. Let m(o) = o**2. Determine m(d(w)).\nAnswer: 118312609156*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4345 = -i + 2*i - 4374, 2*i - 4*j = -32 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 7*z - 3*a, -1082 = z + a - 1074 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2 + 286*i + 283*i + 290*i - 857*i + 9*i**2 - 37*i**3. Let a(q) = -56*q**3 + 8*q**2 + 3*q. Give -5*a(b) + 8*h(b).\nAnswer: -16*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04918 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 496*c**3 + 2094*c**3 - 560*c**3 + 1642*c**3.\nAnswer: 2680*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.051, 2, -113, 3\/5?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r + 94 = 8*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.156 - -0.228. Let y = v - 1.072. What is the nearest to y in 0.4, 18, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(3\/34692*-4). Let x = 1681 - g. What is x rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2103258, 4206564, 6309870, 8413176, 10516482?\n\"Answer: 2103306*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3000 (base 6) to base 15\nAnswer: 2d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, -44, -3, -5 in descending order.\nAnswer: 8, 0, -3, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25075 and 5063675.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 3 + 13 - 2*r**2 + 9 - 31 - 33*r as q*r**2 + v*r + p and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 691.9 (b) -5 (c) 2\/5 (d) 4 (e) 4\/3 (f) 175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 436.525322 to one dp.\nAnswer: 436.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**2\/2 - 5*r + 5. Let a be u(8). What is the units digit of 3*-1 - (-57)\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbfk when four letters picked without replacement from xxxffknxxxbzxxb.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -23) + (8 - (0 - -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 23*v**3\/2 + 2*v. Is k(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4621546 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 4 - 3)*(-2*w - 3 + 3) + 0*w + w + 3*w - w + 1 - 1 + 91*w - 199*w + 83*w as q*w + p and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3598, 3602, 3616, 3646, 3698?\n\"Answer: p**3 - p**2 + 3598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -7, -9, -11?\n\"Answer: -2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 5. Let m be f(6). Let x = m + 10. Let h be (0 - -1)*0\/83. Solve h = -v - x*k + 7, 2*k - 12 = -2*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 + 294718*l**2 - 1178859*l + 884142 = 0.\nAnswer: 1, 3, 294714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.41715 + 1307.09285. What is d rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-9) - (-1 + 4). Suppose 51 = 5*y - k, 3*y + 2*k + 12 - 40 = i. Let x be (-1)\/(-5) + 58\/y. Solve -19 = -5*r + x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 + (2 - (-12)\/(-3)) and 11.\nAnswer: 4334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -456839637283?\nAnswer: -456839637285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4 - 10*j**3 - 300*j**2 = 0.\nAnswer: -10, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 1. Let i(d) = 15*d - 12. Let r(g) = i(g) + 12*m(g). Let l(f) be the second derivative of -f**3\/6 + 44*f. Determine l(r(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -0.078 (c) -30 (d) 4\/9 (e) -0.9 (f) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166524 and 55508.\nAnswer: 166524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-171)\/18 + 13). Put x, 5, -20, 0, 8 in increasing order.\nAnswer: -20, x, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 = 8. Let c(v) be the second derivative of -1\/6*v**3 + 3\/20*v**5 + 0*v**z + 0*v**4 + 4*v + 0. Find the second derivative of c(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 3712213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -5. Let c(g) be the third derivative of g**6\/120 + g**5\/6 - 5*g**4\/12 - 2*g**3\/3 - 3*g**2. Is c(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c62a (base 16) in base 9?\nAnswer: -745873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*c*h**4 + 54*c*h**3 - 33*c*h + 15 wrt h?\nAnswer: -216*c*h**2 + 324*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-3))\/((-318)\/53)*99.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 118541960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/396 and -4\/33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 168\/945 + (-2)\/(-9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -23 - (641 + -556)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*q + 129897*w - 129899*w, w = q - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6526315 divided by 1305263\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -485 - -1080. Suppose -n = -15*c - 235. What is the smallest common multiple of c and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + u**2 + u - 1. Suppose 4 = 4*l - 2*l. Let o = 3 - 1. Let c(t) = -4*t**2 - l*t**o + 5 - 3*t + t**2 + 5*t**3. Determine c(b) + 3*i(b).\nAnswer: 2*b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2232247395?\nAnswer: 3, 5, 7, 19, 1118921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 6 + 4*n + 2*n + 2 to the form h + v*n and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2 - 7302786*p\/7 + 14605628\/7 = 0.\nAnswer: -3651407\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 3. Let y(v) = v**2 - 1. Let f(n) = -6*c(n) - 11*y(n). Let s be f(3). Let h be 0 + (4\/(-29))\/s. Which is greater: h or -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7607*2*(14\/(-4) + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 55. Let r be (36\/(-33))\/((-10)\/p). Let u = r - 52\/99. Which is the third smallest value? (a) 0.2 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 2*x + 5. What is m(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 1172 - 116. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - z - z)*(-2*z - z + 4*z) + (50*z - 36*z - 30*z)*(0*z + 0*z + 1 + z) to j + f*z + q*z**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*z = 2, 7 - 1 = -n + 3*z. Let a = -4 + n. Let t(x) = a*x - 1 - x + 2. What is t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-18) - 6\/(-27). Suppose 3*f - 11 = -5*x, 7*x + 4*f - 8 = w*x. Solve d - 13 = -4*s, -x*s + 7*d - 3*d - 12 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*f - 142*f - 24*f - 1480 = 0 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 3*r - 2)*(139339*r - 390*r**2 - 139339*r)*(3 - 1 - 1).\nAnswer: -1170*r**3 + 780*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l**2 + 26*l - 14. Let t(m) = 4*m**2 - 9*m + 5. Let x(b) = -3*a(b) - 10*t(b). Factor x(h).\nAnswer: -4*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.4597 (b) 51 (c) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 5) in base 8?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 743.5523 millennia?\nAnswer: 74355.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(192)\/sqrt(6) + 0 + 0 + (sqrt(10)\/sqrt(5) - sqrt(2)).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*(-62 - (-73698)\/1207).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 447191*y**4 - 3*y**2 - 85130*y?\nAnswer: 10732584*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1321*c**2 + 4*c - 1. Let l(g) = -3302*g**2 - 10*g + 2. What is -5*l(o) - 12*r(o)?\nAnswer: 658*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(2\/17)))\/(o\/o**(-7)))\/((o\/o**(-1\/5))\/(((o**(2\/3)\/o)\/o)\/o*o)))\/(o**(-8)*o\/(o*o**(-8)))**(-44) assuming o is positive.\nAnswer: o**(-2656\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 18\/117 + 93\/39*23.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 + -127. Let y(g) = 8*g - 36. Let i be y(z). Let u(s) = s + 7. Let c be u(-7). Solve o = -i - c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2110 and 44.682.\nAnswer: -94279.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-5))\/((-6)\/15). Let m be (s + 2)*8\/(-2). Let c = m + 24. Is 1\/9 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4 - 566*s**3 - 29520*s**2 = 0 for s.\nAnswer: -45, 0, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 653489223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 + 116.047. Round a to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 67*l - 456. Let o be p(24). Sort -2\/3, 1, -3, o in increasing order.\nAnswer: -3, -2\/3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 38*y. Let x(t) be the second derivative of -t**4\/6 + 5*t - 3. What is x(z(w))?\nAnswer: -2888*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27507, 1, 108.\nAnswer: 1, 108, 27507","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2166 is divided by 511.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -562 + 819. Find the third derivative of 18*t**2 - 5*t**2 - 31*t**5 - o*t**4 + 256*t**4 wrt t.\nAnswer: -1860*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-6) + 1)*0. Suppose -5*d - 5*b - 1 - 4 = 0, 5*d - 2*b - 30 = v. Let y be 7 + d\/(4\/(-2)). Solve y*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*w - 86 = 24. Calculate the remainder when w is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v - 1. Let n be (270\/105)\/((-3)\/(-14)). Let u = 13 - n. Let w(b) = 4*b**2 - 3*b - 7. What is u*w(r) - 2*f(r)?\nAnswer: 2*r**2 - r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2991 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 + 7 - 9 + 5)*(-1857*h**2 + 0 - 16 + 1861*h**2 + 41*h) as l*h**2 + c*h + x*h**4 + s*h**3 + f and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0345241 rounded to 4 dps?\nAnswer: -0.0345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 10 + 8)*(0*a - 14*a**4 - a**5 + 2*a + 13*a**4).\nAnswer: 2*a**5 + 2*a**4 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 75. Let j be 12*(a\/9 + -4). Find the second derivative of 4*p + 12*p**5 + j*p + 9*p**5 - 10*p**5 wrt p.\nAnswer: 220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*t - 111*t - 115*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*i - 1)*(3*i - 7*i + 21*i).\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h + 32. Let k(l) = 1. Let y(j) = -4*j + 8. Let o(u) = -14*k(u) + 2*y(u). Let b be o(0). Calculate the greatest common divisor of h and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 3*i + i**2 - 2 + 2 - 3*i**2 + (-2*i + 3 - 3)*(0*i - 2*i + i) + 7*i**2 - 3*i + 3*i.\nAnswer: 7*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45749673*b**3 + 16723320 wrt b?\nAnswer: 137249019*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5623 is divided by 1420?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245614.833589966238 - -2264555237.166410453762. Let m = 2264800816 - j. Let o = m - -36. Round o to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 247*q = 239*q + 149, 66*q = -4*r + 63*q - 91 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 10 - 3)*(45*o + 27*o - 10*o).\nAnswer: -310*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3258597 divided by 45\nAnswer: -1086199\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2782*w**4 + 4*w**2 - 9*w - 32. Let a(s) = -2*s**4 - s**2 - s - 1. Let g(l) = -4*a(l) - c(l). What is the second derivative of g(i) wrt i?\nAnswer: -33288*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249*u**2 + 14*u + 8*u - 22*u - 51 with respect to u.\nAnswer: -498*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*y**2 + 16*y**2 - 27 + 6*y**3 + 87*y**2.\nAnswer: 6*y**3 - 7*y**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -3 + 1\/3*z**3 + 0*z**2 + 0*z. Let a(x) be the second derivative of -x**3\/3 - 5*x. What is a(v(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2045713 + 47554287. Round j to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 914 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 3, h: 1, z: 5}. What is prob of picking 1 u and 3 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - c - 587 = 1790, -3*c - 3 = 0. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(40\/64*4). Suppose 4*p - 3*p + y = -2, 2*p - 5 = y. Which is the nearest to p? (a) l (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j. Suppose 0*d + d - 4*g = 3, j = -4*d + g + 12. Suppose -15 = -2*s + 15. Solve 13 = c + 3*i - 6, d*i = s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(374)\/sqrt(44) + sqrt(34) - sqrt(34))\/sqrt(2) + (sqrt(833) + 0)**2*-2 + sqrt(833).\nAnswer: -1666 + 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/o**30))\/((o*o*o**(3\/7))\/o))**(-1\/57))**(-40) assuming o is positive.\nAnswer: o**(7720\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -282, 4, -2\/525?\nAnswer: -2\/525","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, -2, -1339, 0.5, -265, -1\/4?\nAnswer: -1339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 38 = 2*a. Suppose p + a = -11. Let i = 37 + p. Calculate the greatest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 4*f - 481923. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llmlmmlmmmllmmmllml. What is prob of picking 3 m and 1 l?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 32*g**2 + 7*g - 49. Let u(a) = 45*a**2 + 10*a - 74. Give 5*u(h) - 7*z(h).\nAnswer: h**2 + h - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/10)\/(-3)*1. Suppose 28 = 3*f - 7*f. Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g + 0*g + 0*g. Let a(w) be the third derivative of -w**5\/120 + 19*w**3\/6 - 5*w**2. Let b(o) be the first derivative of a(o). Determine i(b(l)).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((1 - 7) + 0 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-9) - (-4)\/(-18). Let f = -0.55 + 0.05. Let g = f - -0.2. Which is the smallest value? (a) g (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*((k**(-1\/9)\/k*k)\/k*k)\/k*k)\/k**(11\/4))\/(k**(3\/4))**(17\/3))**(10\/7) assuming k is positive.\nAnswer: k**(-550\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -647353\/80370 + -4\/4465. What is the common denominator of 95\/154 and g?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/(-28)*(23 + -1 + -2). What is the greatest common divisor of 30 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10*a**2 - 20*a + 16. What are the prime factors of k(9)?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 - 9*l + 6. Let a(h) = h**2 - 2. Let j(w) = -a(w) - t(w). What is j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 56 = 79. Let n be (-1056)\/(-14) - u\/105. Suppose -2*w - 5*z = -152, n = w - 2*z + 4*z. What are the prime factors of w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 199737.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132523 (base 7) in base 9?\nAnswer: 37211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**4\/3 - 14*c**3\/3 - 20*c**2\/3 + 32*c\/3 = 0.\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0*h**6 + 0*h**4 + 0 - 4*h**3 + 2\/3*h**7 + 0*h**2 + 0*h**5 + 8*h. What is the second derivative of r(o) wrt o?\nAnswer: 560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19370.68313 + -19389.28. Let y = 19.7209 + z. Let b = y + -1.129. Round b to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 660 = -20*t + 143*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:01 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - 9*b - 15. Determine i(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1739.959 tonnes?\nAnswer: 1739959000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcrrrctetett. What is prob of sequence ct?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 10*p**2 - 8*p - 5. Suppose -5*i = -2*i - 27. Let z be t(i). What is the highest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-96)\/88*568023\/(-10). Let i = 61962 - o. Let g = 50\/11 + i. Put 0.1, -2\/9, g in descending order.\nAnswer: g, 0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -27*i. Let o be q(-1). Suppose -4*r + 5*b = -o, 9*r - 5*b = 4*r + 30. Find the common denominator of 14\/r*(-2)\/(-6) and 19\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.385 from 22.\nAnswer: 22.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -12. Let m = t - -2. Is 11 a factor of (-37)\/(-3) - m\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -27 + (-41 - (-16 + 58)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**4 + 1 - 2 + 3*k + 0 - 3*k**2 + 0*k**4. Let d(l) = -l**4 - 7*l**2 + 7*l - 1. Let x(p) = -7*b(p) + 3*d(p). Differentiate x(o) wrt o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 - 90. Suppose 2*l - w - 13 = 0, -2 = l - y*l - 2*w. Put 5, l, -18, -4 in decreasing order.\nAnswer: 5, l, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 50*j**2 - 39*j + 13. Let s(f) = 25*f**2 - 18*f + 6. Let k(w) = 6*n(w) - 13*s(w). Let y(u) = -4*u + 4*u - 3*u. Give y(k(r)).\nAnswer: 75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (-90 - 0)) + -18 - -18.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 291 + 282. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -8 - 17. Suppose i = 3*g + 53 - 387, -t = -i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - b**5 - 3*b**3 - 4*b**5 - b**5 + 3*b**5 + (b**2 - b**2 - 2*b**2)*(-3*b**3 + 2*b**3 + 2*b**3) - 2*b**5 + 2*b**4 - 2*b**4.\nAnswer: -7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = 4*a - 264, 8 = -2*c. What is the remainder when 756 is divided by a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.45 and 0.249.\nAnswer: -0.36105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*z + 17723, -35*i + 4*z = -32*i - 26527. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.022 and 2.826889482?\nAnswer: 2.804889482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28\/13 - -2. Suppose -l = -0*l + 3. Let k be 2\/(-5)*(-2 - l). Which is the closest to 2\/7? (a) g (b) -2\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 4*z + 3*v + v, 186 = 5*z - 3*v. What is the third derivative of 36 - z - 8*o**4 - 7*o**2 wrt o?\nAnswer: -192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7621 - 3528521\/463. Suppose 0 = 116*c - 119*c + 3. Is c less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66410762 + -2324023253\/35. Let g = -49371\/5 + j. Let n = 224 - g. Sort 0.04, -3, n in increasing order.\nAnswer: -3, 0.04, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -2)*(-121)\/(-3). Suppose -5*h + 2*b = -u, -4*h - 2*b + 104 = -6*b. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -92 + 17. Let y = 1\/2227 + 309547\/13362. Find the common denominator of y and (-66)\/l + 0 - -3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Let u(b) = -12*b - 15*b**2 + 30*b - 18*b. What is p(u(z))?\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 306327 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3370 = -16*z + 1016634. What are the prime factors of z?\nAnswer: 7, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/13520 and 83\/2327520.\nAnswer: 30257760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:48 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 38*k + 51 - 5)*(0 - 3 + 1)*(-k + 2*k + 0*k).\nAnswer: -76*k**2 + 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*f + 11303 = 185*f - 50227 for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 0*h + 4*h)*((2 - 3 + 3)*(1 + 0 + 1) + 44 - 107 + 25) to the form i*h + w and give i.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1373435411*0.4\nAnswer: -549374164.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n - 215 = -28*n. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650740 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.8 - 0.8. Let y = h + -35. Let w = -0.053 + 0.023. Which is the nearest to 0? (a) w (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.935 and 32.\nAnswer: 20.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -4 (c) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 + 205*i**2 + 105*i + 2276. Give u(69).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4359*d + 4372*d = 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 115*y + 2592. Give j(-21).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 48*p + 856. Let q be w(-19). Which is smaller: -13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 0*a - 2*a + (-3*a + 2*a + 2*a)*(32 + 17 + 4).\nAnswer: 51*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*r + 5*r - 3711, -w + 1237 = r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 21 = 2*g. Suppose -g*t = -t - 760. Suppose -3*x + 0*i + t = 2*i, -5*x - i + 265 = 0. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 - 3*b**2 + b**2)*(4*b**2 + 14*b + 8*b - 23*b) - 90*b**4 + 35*b**2 - 35*b**2 to the form u*b**3 + r + m*b**2 + q*b + j*b**4 and give j.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (-37)\/((-777)\/252).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + 7 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.1 + 24. Let i be (4\/(-151))\/(-28 - (26 + -52)). Which is the nearest to 0? (a) -0.3 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20))**2*6 + sqrt(5) + -4 + sqrt(80) + sqrt(5) - (5 + sqrt(10)\/(sqrt(288)*1)).\nAnswer: 71*sqrt(5)\/12 + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -7*q - 0*q. Let n be (20\/3 + -6)*q. Solve -5*v = y - 8, 0 = 2*y - y + 2*v - n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/15*1*(-280)\/168. Let u(m) be the second derivative of 2\/3*m**2 - 10*m + 1\/72*m**4 + 0 - 1\/6*m**q. Let u(h) = 0. Calculate h.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 74074*f**3 + 3*f + 2. Let m be (-2)\/(-4) + (-1)\/2. Suppose m = b + 1 + 5. Let t be o(b). Round t to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:24 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -b8 (base 13) to base 12\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 10*w + 10304. List the prime factors of ((-4)\/(-12) + 0)*(w - 11).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 258*m - 533*m = -271*m + 48, -182 = 3*x + 10*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j = -66 - 36 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*x = -5*f - 152*x - 57, x = f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 13*b + 9. Let n be z(-12). Suppose 0 = -t + 32 - 14. Let g = n - t. Solve 3*y = w + 13, y + g*w + 1 = 2*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 247*b + 1. Suppose 4*y - 2*y = 2. Let g be w(y). Suppose -5*v + 253 = 4*i, -4*i - v + g = 15. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r + 28 - 172 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -140\/3 (b) -1\/5 (c) -2\/11 (d) -5\/2 (e) -2\/7 (f) 67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - y = 2*f + 17, -y = 5. Let g(n) = -19*n - 9. Let c be g(f). What is the remainder when 22 is divided by -1 + (-10)\/(-8) + c\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2660.078 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j + 9. Let t = j + 13. Suppose -y - y + 4*g = -18, 5*y + t*g - 15 = 0. Solve 0 = -a + y*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006868608 rounded to 7 decimal places?\nAnswer: 0.0006869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*m**2 + 83*m**2 - 167*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -14261?\nAnswer: -42783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -254*l**2 + 34*l - 7. Let t(h) = -507*h**2 + 60*h - 13. What is -7*d(o) + 4*t(o)?\nAnswer: -250*o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 e when four letters picked without replacement from evveev?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 288643931743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (273\/(-39) - (1 - -2)) + 0\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 460718840 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t + 10491 - 37*t + 33717.\nAnswer: -2*t + 44208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - 1) + 3 + -3 + 9. Which is the fourth biggest value? (a) s (b) -10\/9 (c) 0.3 (d) -4 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*m + 7. What is the third biggest value in 1\/6, 2, -3, m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/53? (a) 1.4 (b) -5 (c) -0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13091, 26052, 39017, 51986, 64959, 77936, 90917?\n\"Answer: 2*m**2 + 12955*m + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2742, -5464, -8160, -10818, -13426, -15972, -18444?\n\"Answer: 2*d**3 + d**2 - 2739*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*f + 12, m + 3*f + 3 = 2*f. Let c(z) be the second derivative of -3\/2*z**2 + 1\/2*z**3 + m + 14*z. Determine c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/40)\/(6\/(-473595)). Let a = y + -3938. Calculate the common denominator of a and 69\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 4 in increasing order.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 4:21 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/2585 and -26\/21.\nAnswer: 54285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 4*o + o)*(-4*o + o + o) + 25*o + 11*o**2 - 25*o in the form b*o**2 + w + t*o and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -182696686, -182696685, -182696684, -182696683, -182696682, -182696681?\n\"Answer: i - 182696687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 3109.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -629, -8 in increasing order.\nAnswer: -629, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1650 - 2*d - 3102 + 1613.\nAnswer: -2*d + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 331?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1232, -3119, -6262, -10667, -16340?\n\"Answer: -u**3 - 622*u**2 - 14*u - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-6)\/117)\/(927\/2781)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 7*p + 125*g = 128*g - 54, 4*p + 2*g + 24 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 6*y**2 - 8*y - 18. What is the units digit of s(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54937 divided by -16?\nAnswer: 54937\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/17 and 77\/20784?\nAnswer: 353328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17137610843475817 + 17137611858898634.99999965. Let b = -1015422860 + n. Let l = b + 42. Round l to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-2\/17)\/n)**47)**(2\/123) assuming n is positive.\nAnswer: n**(470\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*r - 14000 = -83*r + 145*r for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l - 3*l - 20*l)*((17 - 17 - 5*l)*(-1 - 2 + 0) - 3*l + 2*l + 3*l).\nAnswer: -255*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, 73, 78, 51, -20?\n\"Answer: -2*n**3 + 2*n**2 + 33*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 5, 886 in decreasing order.\nAnswer: 886, 32, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 14 = 4*t, -5*x + 2 = -2*x - 4*t. Let d be (4\/6)\/((-34)\/459). Let i be 2 - (-24)\/d*-3. Solve -2*m - 6 = 0, 5*y - 3*m - i = x*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z. Let f(p) = 2*p + 7*p - p + 9*p. Let u(j) = 2*f(j) - 9*h(j). Let g(b) = -2*b**2. What is g(u(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)\/j)**(-16\/11)\/(j**(-2)*(j*j**(2\/5))\/j*j)*j*j**(3\/5)*(j*j**(-3\/5))\/j*j*j**(3\/11)\/j**4 assuming j is positive.\nAnswer: j**(-2\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + d**4 - 3*d**3)*(4 + 0 - 1)*(0*d + 4*d - d).\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -556895, -2228412, -5014265, -8914448, -13928955, -20057780, -27300917, -35658360?\n\"Answer: d**3 - 557174*d**2 - 2*d + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m. Let x(b) = -4*b**3 + 10*b + 2. Let y(u) = 2*r(u) - x(u). Let j(p) = 16*p**3 + 17*p - 17. Give 6*j(o) - 51*y(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*592\/80 + 15. Sort x, 7, -9, -5 in decreasing order.\nAnswer: 7, x, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6308095681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752*h = 837*h - 3209 - 3081 for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-13)\/26*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65587363307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-2))\/(2\/(-6)). Let q(z) = -z**2 - 3*z + 48. Let u be q(-8). Suppose -g*w = -w - u. Solve 0*v = -w*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -39664.\nAnswer: 1\/39664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-21) + (-715)\/(-77). What is the greatest common factor of k and 540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + (-2)\/(-4 + 3). Let s = 10 + m. Let c(r) = r**3 + r**2 - r + 15. Let z be c(s). Solve -z = -8*d + 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98682972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-25)\/(-10))\/(1100\/176). What is the closest to 22\/7 in -3\/2, m, 2\/7, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t - 6*t = -1364. What is the least common multiple of 36 and t?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - (6 + -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 33641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000767 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-2)*(-7 + 9) - (13 + 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 1 + 11 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*3 - sqrt(896)\/sqrt(8))*-5.\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b + 4 = 45*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/37152 and 29\/42345.\nAnswer: 174800160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16290 and 8370?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:52 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 - 13 = 0. Let b(h) be the second derivative of -c*h + 0 + 1\/3*h**3 + 0*h**2. Let w(j) = -j**2. Determine w(b(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 - 142*l**2 + 487*l.\nAnswer: 24*l**2 - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95\/12 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 - l + 4. Let k be o(0). Let b = -9 - -9.3. What is the nearest to b in 1\/4, -1\/7, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -45100?\nAnswer: -45104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/8 and 167\/8670?\nAnswer: 34680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37806721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:52 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d\/d**(-5)))**(-4) assuming d is positive.\nAnswer: d**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 9*y**2 - 8*y + 2. Let k be h(-8). Let p be 0\/((-8)\/k + 7). Suppose p*q - 2*q - 4400000 = 0. What is q rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 104 (c) 25 (d) -311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 20\/(-8))*(-1 - -4). What is the smallest value in 6, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 42.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 45221 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 105*i**2 + 9*i**2 + 0*i.\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**2 + 6*k + 8. What is the units digit of g(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 3*s**4\/28 + 18*s**3\/7 - 9*s**2\/2 - 114*s\/7 - 283. Suppose z(q) = 0. Calculate q.\nAnswer: -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 987 = 14*o + 553. Calculate the remainder when 325 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7558 (base 10) in base 2?\nAnswer: -1110110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32661627.\nAnswer: 3, 19, 29, 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from {k: 2, r: 4, s: 1, q: 2, a: 2, t: 6}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1260324?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y - 1 - 1 + 34*y - 2 + 40*y**2.\nAnswer: 40*y**2 + 19*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 10185105100 to the nearest 1000000.\nAnswer: 10185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/59 in 0.3, 0.01, -4, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -7\/144119142 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1881 in 1, 747, -4, -1?\nAnswer: 747","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 35, -1, 0 in descending order.\nAnswer: 35, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 86\/12 - (-1)\/6. Let k = x + -7. Which is the third biggest value? (a) 2\/7 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -89932.\nAnswer: 89932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 11*j + 45)*(2*j + 2*j + j).\nAnswer: 55*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 117145 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wevqpie. What is prob of sequence vqew?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**4 - 18*s**4 + 13*s**4 + s**2 + s as l + a*s**3 + b*s**2 + g*s + q*s**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - k**2 + 2*k + 1. Suppose -8 = 3*b - 2. Let u be w(b). What is the remainder when 28 is divided by (-76)\/(-5) - (-3)\/u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9) - 1\/(-6))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**(-1\/2))))**(-12\/7)*i*((i**(-5\/4)*i)\/i)\/i*i*i*i**6*i*(i*i\/(i*i*(i*(i\/i**0)\/i)\/i*i))**(-2\/45)*i**(-6)\/(i\/(i*i**7)*i) assuming i is positive.\nAnswer: i**(8741\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1210, 2546, 3892, 5254, 6638?\n\"Answer: t**3 - t**2 + 1332*t - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, -1, 3, 2, 745.\nAnswer: -123, -1, 2, 3, 745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:00 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 191716520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.43 (c) 0.4 (d) 5 (e) 157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888199862 is divided by 6671?\nAnswer: 6667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*s - 0*s. Calculate the remainder when s is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - n + 1. Let u = 112 + -92. Let i be (u\/(-35))\/((2\/(-7))\/2). Let g(m) = -9*m**2 + 4*m - 4. Give i*v(a) + g(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k = 37*k. Suppose l + 8*t - 5*t - 490 = k, 0 = 5*t + 15. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((4 - -11) + (12 - (-10 - -11))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -118, -126, -138, -154, -174?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 21. Suppose f*x - 51 - 13 = 0. What is the greatest common divisor of x and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 14. Let r be q(0). Let h = 52 + -40. Let t be (r - 1)*(-12)\/h. Solve 0 = p - 4*p - t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -1 - -1 - 0. Let j(l) = -l**3 + 4*l**2 + 6*l. Let s be j(5). Let h = 33 + -69\/2. Put s, v, h in decreasing order.\nAnswer: s, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 + 4. Let n be a(-3). Suppose -y = -4*q + 4, 0*y - q + n = 5*y. Suppose 216 = 5*m - 94. What is the remainder when m is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 31*h. Let r(s) = -1237 + 1237 + 0*s + 5*s - s. What is m(r(y))?\nAnswer: 124*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89244 and 9684?\nAnswer: 24006636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/15 - (4 + -4). Let w = 5 - 11. Let y(x) = -x**2 - 7*x - 5. Let h be y(w). Which is greater: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-16)*c)\/c)*c**(-6)\/c)**(2\/25) assuming c is positive.\nAnswer: c**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*l*w + a**2*s*w**3 + 158*a*l*s - l*s*w**3 - 106*l*w**3 with respect to s.\nAnswer: a**2*w**3 + 158*a*l - l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 34\/379 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from deeetdqeteeeeeee.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5195424 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2726875750 to the nearest 10000.\nAnswer: -2726880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 1, h: 4, a: 4}. What is prob of picking 1 l and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 3*t**2 + 2*t - 1. Suppose -2*p - 4 = -b, -3*b + 2 = -p - 0*b. Let s be ((-1)\/(-2)*p)\/(-1). Give v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11352\/172*(32\/44)\/(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144.4 + -144. Which is the second biggest value? (a) h (b) 2\/19 (c) -0.124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 0*y + 2*y**4 + (y**3 + 0*y**3 + 0*y**3)*(2*y + 1 - 2 - 6*y).\nAnswer: -2*y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -259.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 6*n**2 + 6*n + 4. Suppose 9*f - 1716 = -4*f. Let g = f - 102. Suppose -6*z + 12*z - g = 0. Calculate h(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*l + 7 + 13*l - 29*l)*(-l - 8*l + 0*l) + l**2 + l**2 - l**2 as t*l + y + j*l**2 and give t.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.83608 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 2\/7*a**3 + 1\/21*a**6 - 6\/35*a**5 + 1\/14*a**4 + 0*a - 2\/7*a**2 - 4. Find t, given that o(t) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -7*f**4\/2 + 47*f**3\/2 + 105*f**2 + 98*f + 20 = 0.\nAnswer: -2, -1, -2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(1375))*6)\/(sqrt(45)*-1).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + -0.01. Suppose -238 = 15*b - b. Is b smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 50856 and 50856 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**7\/2520 + c**6\/720 - 3*c**4\/8 - 10*c**2. Let q(w) be the second derivative of l(w). Determine q(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(320) + -1 + -3 - ((0 + sqrt(320) - sqrt(320)) + -3))**2 + 3 + -1*sqrt(320)*-2 + (3*1*sqrt(320))**2.\nAnswer: 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -16. Let f = 5.4 - a. Let g = 2214.7 - 2215. Sort g, 0, f in ascending order.\nAnswer: g, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12834 and 455538.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-25)\/(-25)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*d + 204*d + 174*d**3 + 195*d + 900*d**3 - 594*d.\nAnswer: 1074*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + t**3 + t**3)*(-29 - 24*t + 29) + 178 - 178 + 20*t**4.\nAnswer: -76*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 494225294*s**3 - 346600917 wrt s.\nAnswer: 1482675882*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 61, -218.\nAnswer: -218, -4, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-14)\/4) - (-260)\/70. Suppose 5*s = q*r - 0*s - 64, -4*r - 4*s + 64 = 0. Factor -8*a**2 + 5*a**2 + 4*a - r*a + 6*a**2.\nAnswer: 3*a*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1403*m - 1413*m = -759030. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3120 divided by 624?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252647?\nAnswer: 467, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - n**2 - 2*n - 1. Let r(a) = -6*a - a**2 - 3 + 2 + 6 + a**3. Let w be r(3). Suppose 0*l + w*l = -5. Give m(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 13*p - 7. Determine n(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 39 = -3*m - x, 0 = m + 3*x - 19. Suppose 4*k - 7 = -m. Suppose k*p - 3 = 3*j + 3*p, j = -2*p - 4. Solve 0 = j*t + 4 + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 80. Let c = o - -116. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 + (-13 - (9 + -10)) + -37\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -128, -249, -370?\n\"Answer: -121*o + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, i: 11}. Give prob of sequence cii.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -9682, 1, -11, 5.\nAnswer: -9682, -11, -7, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 88 = -11*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4565083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 + 34*p**3 + 601*p**2 + 494*p - 1128 = 0. What is p?\nAnswer: -12, -2, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312016 is divided by 798?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12506127 to the nearest integer?\nAnswer: 3536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1074, -1072, -1070, -1068, -1066, -1064?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5113103 (base 7) in base 11?\nAnswer: -386223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**3 + 190*n**2 + 10*n + 348. Calculate a(-38).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/2 (b) -1\/4 (c) 3 (d) 13 (e) -1 (f) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.2 - 32.17. What is the closest to n in -7, 2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 691, 1543, 2545, 3697, 4999?\nAnswer: 6451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001 (base 2) to base 3.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 6*q**2 + 7*q. Let z be l(7). Let t = -0.7 - -0.2. Suppose 3*f = 4*f - 4*f. Which is the closest to z? (a) t (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 13*k + 23*k + 3*g - 6 = 0, -50*g + 83 = 2*k - 17 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000064151 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2. Let p(v) be the second derivative of 35*v**4\/12 + 2*v + 2. Calculate r(p(t)).\nAnswer: 1225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, 1\/6, -7\/37?\nAnswer: -7\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -357, -145 in descending order.\nAnswer: -5, -145, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-196)\/(-42))\/14*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -16*j**2 - 10*j + 57. What is t(4)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100888 - -1039045514\/10299. Let n = -254036\/30897 - d. What is the common denominator of 53\/6 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45194*p**3 + 17*p**2 + 1458 wrt p.\nAnswer: 271164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 259.6148315+-0.567\nAnswer: 259.0478315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*q - 167*q - 2*q**3 + q**4 + 76*q + 2 in the form p*q**2 + u*q**4 + f*q**3 + a*q + w and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(77) - sqrt(77)*-4) + (sqrt(77) + sqrt(77)*-4)*-5)\/(-5*3*sqrt(140)\/sqrt(5)))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-29))\/(a*a**(1\/3)\/a))\/(a\/(a*a**(-18)\/a))**(-44))**(-9) assuming a is positive.\nAnswer: a**(-7791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*a + 18 = -397*a + 3*w, -5*a + 27 = 4*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/10 and -55\/452.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 4*k - 2*k as y + m*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -223 and 191.2.\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**3 - 675*x**2 - 284*x + 388. What is b(-96)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2505120 (base 7) to base 8.\nAnswer: 1163127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 7 + 22*t - 4 - 31 - 6. Let u be i(20). Let b(z) = 11*z**3 - 17*z + 14. Let x(y) = 4*y**3 - 6*y + 5. Calculate u*b(w) - 17*x(w).\nAnswer: -2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3532 + -2421. Let f(z) = 1111 - y - z. Calculate f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424190.\nAnswer: 2, 5, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/4 + 5*q**4\/3 + 10*q**3\/3 - 6*q. Factor k(w).\nAnswer: 5*w*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869537639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1317192, 2635266, 3953338, 5271408?\nAnswer: 6589476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -346, -351, -356, -361?\n\"Answer: -5*f - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 4*k**2 - 4*k**2)*(-k**3 - k + k) + (0*k**3 - 4*k**3 + 2*k**3)*(3*k - 3*k - k**2).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -5. Let r(g) = -25*g + 4. Let f be r(-5). Suppose v*u - 11 = f. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 134, 3, -24, -3, -1 in decreasing order.\nAnswer: 134, 3, -1, -2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*t + 5 = -0, 0 = -2*u - t - 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50848416 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.09, 3, -1\/3, -0.4, 3.56?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i - 26. Let u(j) = -4*j + 8. Let n(a) = 10*u(a) + 3*w(a). Let b be 9\/(-15) - (-2)\/(-5). Let x(s) = -s. What is b*n(z) + 8*x(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u + 107*u + 9426 - 9426.\nAnswer: 121*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2 - 2)*(0*h + 3*h - 2*h + 2*h + 0*h - h + (2 - 2 - h)*(-7 + 3 + 2) + 20*h - 99*h - 6*h) in the form r*h + m + d*h**2 and give d.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -47*r + 45*r. Sort r, -3, -4 in descending order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002803 rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 8. Suppose -3*m - 12 = -4*i + 255, 153 = 2*i + r*m. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g + u - 13, 2*g - 12 = -4*u. Find the second derivative of -6*b**g + 45*b**4 + 23*b - 14*b**4 + b**3 - 14*b**4 wrt b.\nAnswer: 132*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**3*w**3 + 4221*k**2 + 54*k*w**3 + 129*w**3 wrt k?\nAnswer: -54*k*w**3 + 8442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 + -61 - (4 - 2) - -34?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*h + 42 = 0, -8*t = -5*t + 4*h + 39. What is the fourth smallest value in t, 0.4, 0.5, -12, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2162 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -290 in 0.5, 1\/3, 5, -2\/5, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 201 = -y, 4*f + 4*y = 8*f - 196. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 214 and 310?\nAnswer: 33170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 462. Let k(o) = -2*o**2. Determine k(t(w)).\nAnswer: -2*w**4 + 1848*w**2 - 426888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2949694380 to the power of 1\/2, to the nearest integer?\nAnswer: 54311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzzzxzzzzzzzzzzzzz. Give prob of sequence xzx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**4 + 1190*l**3 + 1205*l**2 - 2390*l = 0.\nAnswer: -2, 0, 1, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 170, 270, 388, 530, 702, 910?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (-24)\/10*49275\/(-81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-2)*(42\/(-14))\/(-3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 19*w - 42. Let j be 56\/(-20)*(5 - 10). List the prime factors of d(j).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-72)\/(-45)) + (0 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/946*(-14)\/((-56)\/(-2))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 2:23 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/25)*k)\/(k**(-9)*k)*(k**(2\/3)\/k)\/k*k*k\/(k\/(k**(-4)*k*k)) assuming k is positive.\nAnswer: k**(581\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*((-2*h + h - h)*(3 - 1 - 1) - 1 + 1 - h - 2 - 2*h + 2 + 0*h + 2*h + 2*h)*(-2 - 1 - 1).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)*k\/k**(-3)*((k\/(((k*k**(-1\/4))\/k)\/k))\/k)**30 assuming k is positive.\nAnswer: k**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 8:40 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 h when four letters picked without replacement from fwshfshffsfhwfw.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -2) + 12 + (-6 + 14 - -6187).\nAnswer: 2, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*s + 243 = 0, -101 = -2*i + 4*i + 5*s. Let r be i\/(-18) - (-4)\/(-6). Factor 14*v**r + 3*v**5 - 4*v**3 + 11*v**3 + 9*v**4 - 11*v**2 + 2*v**3.\nAnswer: 3*v**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -480, -4179, -14508, -34875, -68688, -119355?\nAnswer: -190284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 23274812?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**3 + 90636*k**2 - 22672*k - 67980.\nAnswer: 4*(k - 1)*(k + 5665)*(4*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:46 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 661120 and 12240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u*y**3 + 550953320*u - 110*y**3 - 1593127*y**2 wrt u.\nAnswer: 2*y**3 + 550953320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1. Let y = 371 + -343. Let o(t) = -y*t - 8 - 17*t + 44*t. Calculate 6*b(k) + o(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = -2*b. Let s(u) = 2*u**2 - 34*u. Let r(t) = t**2 - 11*t. Let n(q) = b*r(q) + 2*s(q). Find c, given that n(c) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + l**4 - 3*l**4 - l**4 + 4*l to d*l + a*l**2 + w*l**3 + h*l**4 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23515423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 572 and 572.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 609*d*y*z**3 - 86*d*y*z + d*y - 4*d*z + 2*d + 222*y*z**2 - 19*y + 20*z**4 + 1 wrt z.\nAnswer: 3654*d*y*z + 444*y + 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2 - i. Let c(s) = -2*s - 21*s**2 + 29*s**2 - 6*s + 10*s**3 + 0*s. Determine -c(k) + 8*m(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-7 + 3)) + 780\/(-104)*(-72)\/130.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 5*s**2 + 0 + (1 - 1 - s**2)*(-5 + 2 + 1) - 4*s**2 + s**2 + 7*s**2 - 460*s + 6*s**2 + 460*s.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -739\/4 - -749\/4. Let a = -2 - -2.12. Let i = -0.08 - a. What is the fourth smallest value in 1\/2, i, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 62 = 3*f - 4*f, -5*f = -5*c - 310. Let l be 5\/(-15) - f\/(-6). Suppose -22 + 62 = 20*i. What is the highest common divisor of l and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - 3 - 14*s**2 + 3 + 18*s**2 + 3 + 2*s**3 to a*s**2 + h + o*s + d*s**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 24 + 9. Let u = o + 45. Let v = -37 + u. Solve -v*g - 8 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 772916 greater than or equal to 773182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314432814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 8*q - 33. Let r(j) = -q*j + 2 - 2 + 3*j. Let b(f) = -17*f. Let c(x) = -6*b(x) + 13*r(x). Let m(z) = 2*z. What is c(m(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -77460 to the nearest one thousand.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1339621968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - b - 8, -i + 24 = -0*i - 5*b. Solve i*w = -3 + 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 at least 108153\/1006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1915 + -6.943903\nAnswer: -1921.943903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7301 and 4517829?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 2 + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - 29. Let w = -51 - m. Which is the third biggest value? (a) w (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114241, -230235, -346229?\nAnswer: -462223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 51 + 7. Is 4337*h\/24 + 1\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 153*y + 1890 - 207 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004254658 to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-114)\/(-209) - (-399144)\/44?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 2 - a + 2*a**3 - 18*a**4 - 4*a**3 as n + b*a**3 + u*a**2 + l*a + h*a**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 240998935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + 5*(sqrt(1700) - (sqrt(1700) + -1)) + sqrt(1700) + sqrt(1700)*4*5)**2.\nAnswer: 2200*sqrt(17) + 822825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 2\/7 (b) 2\/5 (c) 11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-121)\/44 + (-228)\/(-48). Solve 8*n + o*x = 11*n + 3, -3*x - 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gauafauaaafaagaaaaau. What is prob of picking 2 g?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.881 - -1.8809521. What is h rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 1\/6*x**4 + 8\/3*x**2 - 55 - 32\/3*x + 14\/9*x**3. Factor s(k).\nAnswer: 2*(k - 1)*(k + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 51, -5, -2, 48, -12 in ascending order.\nAnswer: -59, -12, -5, -2, 48, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*c + 1834 + 1746. Let o = -168 - c. Calculate the greatest common factor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*f + 9 + 3, f + 3 = 0. What are the prime factors of 97*(t\/1 + 2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -103, -126, -149, -172, -195?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l - 22. Determine y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/25 - (2424\/(-10) - 2).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*p + 1. Let z(u) = 0*u**3 + 5*u**2 - 6*u + 2 + 1 + u**p - 5. Let i be z(-6). Let v(n) = 4*n + 3. Calculate v(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 777\/5180*(-16)\/(-6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 1\/6*q**3 + 0 - q**2 + 0*q + 125\/12*q**4. Is k(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(320)\/sqrt(8)))\/(2*sqrt(32)\/(4*sqrt(4))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79\/6*(93 - 87)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -23*v + 23. Let h be b(5). Let l = h + 130. Calculate the lowest common multiple of l and 4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g + 25*g - 5 = 0. Suppose 0 = -2*j - g*j + 56. Suppose -j = 23*n - 25*n. Calculate the highest common factor of 44 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 6. Let b(a) = 9*a - 17. Suppose -4*o - 1 + 29 = 4*s, 5*o + 3*s = 25. Let u(w) = -2*w - 2. Let t be u(o). Give t*b(j) - 17*d(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-9))\/o*o*o*((o\/o**(-3))\/o)\/o*o)**(-1)\/(o**(-2\/5)\/o*o\/(o\/(o*o**(-2\/3)))*(o**(-1)\/o)**19) assuming o is positive.\nAnswer: o**(646\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvcvchvcccvvc. What is prob of picking 1 v and 1 h?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -368.1471 to one dp.\nAnswer: -368.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1119659709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 5*m - 164, 92 = 2*h + m. Suppose -2*x + h = -72. Suppose -5*o - 10 = -2*l + 50, -2*o = 2*l - x. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 9*f - 3. Let d be z(6). Suppose 0 = 4*c + c + d. Let o be (0 - 2) + 2 - c. Solve 0 = 4*x - 2*w - w - 4, -x = -o*w + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a**5\/2 - 3309*a**4\/4 - 17415*a**3\/4 - 15255*a**2\/2 - 5097*a - 1134 = 0. What is a?\nAnswer: -2, -2\/3, -1\/2, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*g = 105*g + 152. Solve -3*h - g*s = 13, -2*h - s - 7 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/31089 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 24 = 4*l, 9 = 4*l - 3. Factor 2*u**2 + u**3 - 3*u - 3*u**a + 3*u.\nAnswer: -2*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4291*9.\nAnswer: -38619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1672023*f + 1672023*f - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, n: 1, h: 5, q: 2, u: 4}. What is prob of picking 2 h and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose 6*v - 12 = y*v. Suppose v*k + 73 = 341. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 38203473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -19 - 22 + 40. Let l(h) = -3*h - 6. Determine 5*g(n) - l(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 3*b - 14, 37 = -5*b - 5*c + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.1087, 0, -7 in increasing order.\nAnswer: -16.1087, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3*t**2 - 25*n**3*t + 57*n**2*t**2 + 44995*n**2 - 4*n*t**2 + 16*n - 975*t**2 - t wrt t.\nAnswer: 2*n**3 + 114*n**2 - 8*n - 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, 1, 0.5, -17, 0.41037?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*m + 50. Is -129*(-2 - m\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 0, 8 in increasing order.\nAnswer: -5, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 10. Let x be g(7). Let l = 0 - -5. Let h be l\/10 - (-1)\/(-2). Sort 1, h, x in descending order.\nAnswer: x, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**8*o)\/(o\/((((o\/o**(-7)*o)\/o)\/o)\/o)))\/((o\/(o*o\/(((o\/(o\/o**(6\/7)))\/o)\/o)))\/o*o*o*o*o\/(o\/((o*o**4)\/o))*o) assuming o is positive.\nAnswer: o**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 43, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/2795 + 209\/16770. Let v(t) be the third derivative of 8*t**2 + c*t**4 + 0 + 0*t**3 + 0*t - 1\/780*t**6 - 1\/390*t**5. Find w such that v(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -37 - 7. Let s = 8342 - 8330. What is the least common multiple of r and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1573442 divided by -26\nAnswer: -60517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:05 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 873 and 1251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298 - -318 - (-2 + 35).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (408\/1320)\/((-266)\/(-7315))?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2608 divide 1144600086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106327?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 1\/3, 105, -5, 136, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5238 + 5232. Let b(y) = 9*y + 9. Calculate b(g).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t**3 + 5*t**3 - 14*t**3.\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chhhhchchhcccchh. Give prob of sequence hcch.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50, 160, 462, 1052, 2026?\n\"Answer: 16*g**3 - 2*g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(275) + sqrt(275) + sqrt(275) + -4 - -2*sqrt(275)*1) + -2 + -4 + -2)**2.\nAnswer: -350*sqrt(11) + 6924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*p = 3*q - 91, -4*q = -2*p - 74. Suppose -114 = -20*m + q*m. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-203)\/42 + (-1)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/4 - -5) + 12\/4. Suppose -8 = -5*j - o, 0 = -3*l - 4*j + 355. Suppose 48 = 5*i - i. What is the remainder when l is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.59448km in millimeters?\nAnswer: 85594480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/11 + 398*z**3\/11 - 16080*z**2\/11 + 194200*z\/11 - 752000\/11 = 0.\nAnswer: -235, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vle when three letters picked without replacement from {m: 10, l: 1, e: 1, v: 2, g: 3}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/279 at least as big as 154.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/82, -4\/3, 0.2, -5, 1.7, 2\/7 in decreasing order.\nAnswer: 1.7, 2\/7, 0.2, 11\/82, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 17*p - 2. Let i be k(-17). Is ((-3)\/(-2) + -1)*i + 61 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(28) + sqrt(7) + 2*sqrt(7) + 2.\nAnswer: -1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from hhhpphegheghpuhgpph?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/(-10) + (-47)\/(-2) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 3\/2, -0.3.\nAnswer: -18, -0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1815*d + 371. Is u(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1 = 10. Suppose -j*m + 2*m = -4. Solve m - 1 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 1484*b - 215094. Determine y(-133).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/(-84) + -5 + (-22)\/(-4). What is the second smallest value in 6.2, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvbpvbvvbvbvbv. Give prob of picking 2 b and 1 p.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, k: 1}. What is prob of picking 2 b?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -11022?\nAnswer: -11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4517324 and 70.\nAnswer: 22586620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139381*v - 278763*v - 56 + 56 + 139380*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5817947m?\nAnswer: 581.7947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = 7*l - 2. Suppose 10*t + l = 670. What is the smallest common multiple of t and 3?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**32)**(-3)*(n**(3\/32))**(19\/5) assuming n is positive.\nAnswer: n**(-15303\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383186286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from ccssccsccccsccccccc.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*u + 6*x + 26 = -71*u, 2*u + 2*x = -2*x - 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsfffggysyycfsscc. What is prob of picking 2 y?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 649292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-12))\/((-3)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*x - 1922, 5*x = 4*a - 9932 + 2250. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 187154*r**2 - 19*r + 106843693 wrt r?\nAnswer: 374308*r - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1111*r**2 - 15*r + 30. Let d be f(3). Let v = 18641 - d. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*j - 6*j**2 + 89*j + 7*j**2 - 578*j.\nAnswer: j**2 - 722*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3777*w**4 - 174*w**2 + 11*w - 2 wrt w?\nAnswer: -90648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 233, 469, 707, 947, 1189, 1433, 1679?\n\"Answer: f**2 + 233*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 62. Suppose 2*c + 4*j = 4*c - 50, j + m = c. Solve 0*l - c = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113970 + -72980. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -73 in ascending order.\nAnswer: -73, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:34 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24341820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-9))\/((-3)\/(108\/8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7571, 7570, 7569, 7568, 7567, 7566?\nAnswer: 7565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 + l**2. Let w = -26 + 12. Let m be (-9)\/7 - 4\/w. Calculate b(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-2)**2 + 2*1*sqrt(5).\nAnswer: 2*sqrt(5) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t - 3. Let s be b(-3). Calculate the highest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36564*f - 145610 = -3326678 for f.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 17*c**2 - 3*c - 31. Let r be j(-17). Suppose 10 = -18*s + r*s. Suppose -s*z - z = -12414. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*y**2 + 395*y - 788*y + 393*y.\nAnswer: 67*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11)**(-21) assuming l is positive.\nAnswer: l**(-231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4800 and 26969280?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 1 - (-2)\/1. Suppose 2*q = o*q - 18. Solve -3*m = -w - 10, -4*w + 7 = m - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 111240*u**2 + 556221*u + 444980.\nAnswer: -(u - 111245)*(u + 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1148 divide 3597226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*6*(-3)\/((-45)\/(-5)). Sort s, -10, -1 in descending order.\nAnswer: s, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169867 is divided by 84897.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7*v = 4*f - 17367, -3*f = 3*v - 13029. Suppose -2*b + 2*n = -0*b - f, -5*n = -4*b + 8671. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.62 - 1.02. What is the closest to -2\/7 in 1\/4, -26\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**3 + 120*w**2 - 256*w = 0?\nAnswer: -32, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 23*d**2 - 7*d - 19. Let p be (12\/27*6)\/((-40)\/180). What is the units digit of a(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 2*n + n - 6*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b + 2635485 = -10801065. What is b rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.77024 millennia in months?\nAnswer: 93242.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -228896.2 + 228897.2071089. Let g = -1.007 + h. Round g to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.5. Let g be (168\/(-36) + 5)*(-2)\/12. Which is the nearest to p? (a) 5 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - a - 55. Let h = -10 - 0. Is h\/a - 2622\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.86 + -1.14. Let z = -14.947 - m. Round z to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 + 3*j**2)*(0*j**3 - 3*j**3 - j**3) + 5*j**5 - 3*j**5 - 4*j**5 + (-6*j**4 + 5*j**4 - j**4)*(2*j + 5 - 5).\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnn. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(50)*-5).\nAnswer: -sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 1:15 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2499 + 2494. What is the fourth smallest value in -2\/9, 2, f, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2030 and 425154065.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0009 * -2362\nAnswer: 2.1258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26298 - -253799. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 + 35.3. Let v = -35 + l. Let f = -7 + 12. Sort f, v, -4 in descending order.\nAnswer: f, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 790e1d (base 15) to base 12\nAnswer: 1b25824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10*((-21)\/(-35))\/((-6)\/92) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q + 8 = 0. Let g = -25 - -25. Suppose g = -q*f + 6*f + 84000. Round f to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -24 (b) 0 (c) 1\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + (6 - 488\/32). Is (w + -6)*(-1 - (-2)\/5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**2 - 18*i + 24. Let o(f) = -23*f**2 + 51*f - 68. Let l(j) = 6*o(j) + 17*r(j). Let h(y) = 2*y - 182. What is h(l(m))?\nAnswer: -4*m**2 - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 1:34 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16445)\/7150*(-210)\/644.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33222320 rounded to the nearest one hundred thousand?\nAnswer: 33200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/80 and 49\/3577184.\nAnswer: 17885920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19180 is divided by 2087.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 1 in descending order.\nAnswer: 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 27 + 2*f - 19 + 4*f. Let j be s(23). Solve 2*v + 11 = -5*o, 5*v + j*v - 4 = -2*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1241 - -493. Let g = -1134 + m. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48940 divided by -2\nAnswer: 24470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((23385\/1950 - 20) + 8)*-4?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 1. Calculate the remainder when k(5) is divided by 4 - (0 - (-3 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 14}. What is prob of picking 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -262 + b7227?\nAnswer: b6b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139550 a multiple of 1165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55.91169 weeks?\nAnswer: 33815390.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1625 = -28*y - 153. Calculate the highest common divisor of 218 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 - (-10 - -6) - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 7:25 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -3*(-5)\/3. Let n(u) = -2*u + 24. Let s be n(i). Solve s*d + 1 = 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h**3 - 18 - 12 + 10 - 3*h**2 - h**4 + 31*h.\nAnswer: -(h - 1)**2*(h + 4)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 2*m. Suppose -5*f - 16 = 2*o, 4*o + 2*f = 4*f - 8. Let u(k) = k - 1. Let l(j) = o*i(j) - 6*u(j). What is the derivative of l(n) wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8935 + -17.\nAnswer: 8918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 312898 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*l + 66. What is the greatest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 389130 and 98?\nAnswer: 2723910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + 88.7. Which is the closest to 2? (a) 1\/5 (b) v (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2508, -4, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/7)*o)\/o)**(1\/3)\/(o**28*o*(o**(-16\/7)*o)\/o) assuming o is positive.\nAnswer: o**(-185\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1159 + 1122. Let q be (5\/30)\/(1 + a\/44). Let 2\/21*h**5 - 16\/21 + 4\/7*h**4 + 4\/21*h**2 + q*h**3 - 8\/7*h = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129 by 3.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -56. Let x = -13 - m. Let h = -0.2 - -0.1. Which is the nearest to -1? (a) x (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141534080 by 12592.\nAnswer: -11240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -30 - 5 - (-1 - -22)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, n: 3, j: 2, q: 2}. What is prob of sequence qnj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = -5*i - 1, -3*o = 4*i - 4. Suppose o*q = -3*b + 114, -6*b + b = -4*q - 190. What is the highest common divisor of b and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p + 3. Suppose 34 = p*d - 0*d. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.47436 take away -0.10450679?\nAnswer: 1.57886679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 7:55 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {k: 10, l: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/4397068 and 55\/89801658?\nAnswer: 2334843108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 7)*(-18)\/(-15). Let n = x + -2. What is the nearest to -2\/5 in n, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -4. Let g be 35\/4 + q\/(-20). Solve 3*x = g + 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217804305 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:49 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42\/41 + 2913\/82. Find the common denominator of j and -31\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30446, 60771, 91082, 121373, 151638, 181871?\nAnswer: 212066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = q, -h - 3*q + 8*q + 25 = 0. What is the remainder when (7\/(14\/(-92)))\/(-11 - -9) is divided by 3 - h - (-6 - (-2 - -6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 299775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 30?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23072477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37548 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 7:46 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = -28*v + 85 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, k: 7, r: 7, t: 3}. Give prob of picking 1 n and 1 k.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = -292 + 228 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000010011001 - -1010011?\nAnswer: 1011000011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 243322301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 2*y - 3*y + 11*y - 32*y + 13*y + (6*y - 3*y + 4*y)*(-2 + 2 - 2).\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/39))**(-2\/31) assuming b is positive.\nAnswer: b**(-4\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -2. Let q(p) be the second derivative of 2*p**3\/3 - 19*p**2\/2 + 14*p. Let v be q(6). Solve -k = -v*c + c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1564 - -1703 - (108 - -2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 7*a + 5 = 0, -6*f + 10*a - 20 = -16*f + 15*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 239*j**2 - 76*j - 3. What is w(1)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwbcycybcb. What is prob of picking 3 b and 1 y?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 33. Suppose -h*a + 19 = -d - 4*d, 5*d = -4*a - 11. Put d, 4, 1 in descending order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than 20903459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -877420*x - 1760. Let p be s(12). What is p rounded to the nearest one hundred thousand?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.01132 and -14.\nAnswer: -14.15848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*h - 61*h - 2114 + 850 = 0 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53131 (base 7) in base 5?\nAnswer: -404410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 10:55 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2911 and 369?\nAnswer: 26199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2, -10, -833 in decreasing order.\nAnswer: 0.3, -2, -10, -833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 12*r - 48. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*k, 0 = -4*q + 4*k + 17 + 3. Suppose -34*c + 35*c - q = 0. Suppose -c*h - 2*a + 746 = -1351, 2115 = 3*h - 4*a. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10351359054.9937 + 10351947712. Let r = a - 588735. Let i = 78 + r. What is i rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -13*q**2. Let p(m) be the second derivative of m**4\/12 - m**2\/2 + 9*m + 3. Let v(y) be the first derivative of p(y). Calculate a(v(z)).\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 327.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2456 - m**3 + 2*m**3 + 4859 - 2430.\nAnswer: m**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04769*-0.5.\nAnswer: -0.023845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 32 = f, -3*y - f = -24 - 7. Suppose 0 = -8*p + 115 + 29. What is the greatest common factor of p and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 11. Let d = 16 + x. Let i = -11.8 + d. What is the third smallest value in 3, i, 5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*360\/27. What is the greatest common divisor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8910 is divided by 544.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1122 and 5346?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let t = -423471.7 - -423472. Which is the nearest to 2\/5? (a) t (b) 3\/2 (c) 0.4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.9 and 248?\nAnswer: 4191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2 - (5093\/(-99) - 8\/(-18)) and 7.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -39*w**3 + 5*w**2 + 3*w - 2. Let n be 32\/(-24) + 2\/6. Let k = -2 + n. Is s(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1328406, -1328411, -1328426, -1328457, -1328510, -1328591, -1328706?\nAnswer: -1328861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 86. Sort -2, 1, w in decreasing order.\nAnswer: 1, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156463 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16*(-1 + 1179\/51). Let y = -354 - l. Which is the biggest value? (a) 1 (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 5*o**2 - 7*o. Let x be g(-3). Let h be (x - 0) + 6800\/(-2276). Let f = h - 26347\/60314. Find the common denominator of -43\/4 and f.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + (-53)\/(1643\/248).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = -2, -13 = 2*d - 5*h. Let i(o) = 4*o**2 + 6*o - 4. Let g be i(d). Let x = 59 - g. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1911, 3824, 5737, 7650?\n\"Answer: 1913*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqsqqromosroqoooy. What is prob of sequence mmy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*i*l*r**2*s**2 - 86*i*r**3 + 2*i*s**2 - 710*l*r**3*s**2 + 57007*l*s**2 - 3*r**3*s**2 wrt r?\nAnswer: -516*i - 4260*l*s**2 - 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10232 or 5?\nAnswer: 10232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 45 + -1 + -3 + 4 - -23.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 21 = 5*l, -2*u + 6 = 5*l - 26. Let g = u - 7. Find the third derivative of t**g + 0*t**4 + t**2 + 0*t**2 wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1302 and 18.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**4\/24 - h**2. Let c(q) = 297*q - 94. Let x(j) = 38*j - 12. Let f(i) = 6*c(i) - 47*x(i). Determine f(m(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 8*z + 12. Calculate the least common multiple of 124 + -116 + 4*4 and l(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(2*y + 2*y - 3*y) + 22*y + 37 - 37.\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175)*-1 + 5 - sqrt(175)))*1 + -1)**2.\nAnswer: -180*sqrt(7) + 1611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -19*d + 22*d. Let t be 440\/16 + 2\/d. What is the highest common divisor of 21 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let x(c) = c**2 - 6*c - 1. Let a be x(6). What is the closest to -1 in -2\/7, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59.545+-17.36\nAnswer: -76.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*d + 299*d - 10640 = 0 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1449357 and 1365?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 54330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhwhwhhhwhwwhhhh. What is prob of sequence hhhh?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18244 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 8) in base 11?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*n - 77 = 39*n - 3*c, 5*n - 76 = 3*c for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -c - 25, 320*t - 315*t - 101 = -3*c for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-21))\/((-3)\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 49120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 5, -3, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/(-116))\/(-3*(-1)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 663714\/11 or 60338?\nAnswer: 60338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-6))\/(1\/(-2)). Factor 12 - 17*k**2 + 11*k + k**3 + 56*k**2 + 25*k + a*k**4 + 17*k**3.\nAnswer: 3*(k + 1)**2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -44024, 0.54, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/27*(-6)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6*c - 42. Suppose 2*m - m = 98. What is the highest common factor of m and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33*(-78 - (-87800)\/1100)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -71. Suppose q = -2*t + 6 + 2. Solve 0 = -2*f - t - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 1.2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(605) - (sqrt(605) + 1 + 0))**2 - ((sqrt(605) - (-5 + sqrt(605) + 0) - sqrt(605))*-1)**2.\nAnswer: 110*sqrt(5) + 1790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 10:42 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -220126534 (base 7) to base 10\nAnswer: -13200625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1400543587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155?\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 18*v**3 + 4*v**2 + 22*v + 37. Give l(-2).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146.31 - 12.01. Let m = 130 - w. What is m rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8792832*n**2 - 154080*n + 675.\nAnswer: 3*(1712*n - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**4\/24 + 23*t**2. Let q = -10 - -14. Suppose 0 = 4*a + 2*n - q, 5*a + 2*n = 3*n + 5. Give i(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**3 - 18*o**2 + 15. Let w(g) = -4*g**3 + 9*g**2 - 7. Let i(s) = -3*m(s) - 7*w(s). What are the prime factors of i(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 3*j + 1. Let i(w) = -w**2 + 7*w + 5. Let x be i(8). Does 14 divide a(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 11*q**2 + 10*q + 2. Suppose -4*j - 26 = -66. Let x be m(j). Let w(z) = -3*z**2 + 2*z**2 - 8*z**x - z. What is w(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 91767186, 91767195, 91767220, 91767267, 91767342, 91767451, 91767600, 91767795?\n\"Answer: u**3 + 2*u**2 - 4*u + 91767187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4861 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*o**2*t**2 - 1588*k**3*o**2*t - 2*k**2*o + 2*k*t**2 - o**2*t + 23*t**2 wrt k.\nAnswer: 12*o**2*t**2 - 9528*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -229 + 231. What is the second derivative of -17*j**v - 4 + 59*j**2 + 5*j - j - 10*j**2 wrt j?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377174 a multiple of 741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10 + 1)*(3 - 3 - 2*c) - 3*c + 2*c + 3*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184.71579 months to centuries.\nAnswer: 0.153929825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50199 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038765449 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 4096 and 4119 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/6 + 2 + -5)\/(((-2142)\/(-28))\/(-51)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -681*g + 3607. Give b(7).\nAnswer: -1160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 6:32 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4*(4 - -8). Suppose -v = 3*v - u - 1, g = 3*u. Solve -v + 0 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -903011\/8 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 4:48 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1027 + -3?\nAnswer: -102a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 6*y**3 + 5*y**2 + 0*y**3 + 5*y**3 to the form p*y**2 + c*y**3 + w + g*y and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1422279218?\nAnswer: 2, 4099, 173491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 3*q + 18900. Round q to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 11*l + l**2 + 2*l**2.\nAnswer: 3*l**2 - 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 310910377 to the power of 1\/2, to the nearest integer?\nAnswer: 17633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t + 30 = -3*h - 78*t, -28 = 4*h + 2*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 87 and 0.008.\nAnswer: 0.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -386*v - 15443. Give g(-40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, p: 1, m: 1, y: 1, g: 1, f: 1}. Give prob of picking 1 g, 1 p, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1458716 by -12362.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -562615, -1125166, -1687731, -2250316, -2812927, -3375570, -3938251, -4500976?\nAnswer: -5063751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in 96, 3, -0.4, 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*j**4\/7 + 321087*j**3\/7 + 222678*j**2\/7 - 13044*j + 7608\/7 = 0 for j.\nAnswer: -1, 2\/13, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*b - 2*b, -5*w + 16 = -2*b. What is the units digit of 64\/3 + w\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 19*b**2 + 17*b + 19. Give w(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1 - (-3)\/(-6)). Let l(p) = 3*p + 2. Give l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/4)*u**6)**(-25) assuming u is positive.\nAnswer: u**(-725\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5257, 221, -3 in ascending order.\nAnswer: -5257, -3, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 473149409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 + d**5\/120 + d**3\/6 - d**2. Let p(j) be the first derivative of c(j). Suppose 3*f + 12*f = -15. Calculate p(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i**3 + 5*i**3 + i**3)*(110 + 425 + 2240 + 298) as w*i + a + y*i**3 + c*i**2 and give y.\nAnswer: 3073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 187.\nAnswer: -13.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145003?\nAnswer: 1145003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 272?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 c, and 1 b when four letters picked without replacement from cbbycbbuyubbbccsyybb?\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*u)*(2 + 3 - 4 + 0 - 1 + 3 + (-4 + 0 + 2)*(-1 + 0 - 1) + 3 + 3 - 4).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 482747484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2949 - 0.2949. Which is the second biggest value? (a) q (b) 166 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549472.\nAnswer: 2, 41, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.65 - -29.35. Let b = n + -12. Let g = b + -18.2. Is -1\/10 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/64 and -71\/7735628?\nAnswer: 123770048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5927*q**3 + 2*q**2 - 4*q - 2. Let s(c) = 2*c**3 - c**2 + 2*c + 1. Calculate -g(t) - 2*s(t).\nAnswer: 5923*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 6:05 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3013 = 27*a + 767. Is -141 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 + d**2 - 2*d + 1. Let t be f(1). Suppose -4*v + t = -3*v. Let n be v + (3 - (-76012)\/(-2)). Round n to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172*b**4*j + 22*b**3*j**3 + 3*b*j**2 + 3*b - 13*j**3 wrt b.\nAnswer: 2064*b**2*j + 132*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0088 and -0.004817611949?\nAnswer: 0.003982388051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 9*s - 4*s - 11, 20 = 4*s. Calculate the least common multiple of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 29\/2*d**2 - 9 + 2\/9*d**4 + 4\/45*d**5 + 0*d**3 + 0*d - 1\/30*d**6. Let k(n) be the second derivative of w(n). Factor k(i).\nAnswer: -4*i*(i - 2)*(3*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 37 + 28 + 47 = 0. Let r(p) = p**3 - 10*p**2 + 17*p + 6. What is r(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x**2 - x. Let m(u) = 13425*u. Determine m(i(q)).\nAnswer: 161100*q**2 - 13425*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/((-32)\/12 - -1))\/((-6)\/40). Solve h*j + 68 + 16 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -232?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*-3*(sqrt(121) - sqrt(121)*1))\/(-3*(sqrt(396)*1 + sqrt(396))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 0*s)*(-2*s - 2 + 2) + (6*s - 4*s - 4*s)*(5 - 1 + 0)*(-3*s + 2 - 2).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 2*x**3 - 3*x**3 + 3*x**3 + 6*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 + 20 = 0. Suppose 6*r - x = 3*r. What is the first derivative of -2*z - 1 + z + r wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*sqrt(190)*2 - 5*-1*sqrt(190))\/(sqrt(30)\/(sqrt(27)*1)) + -1).\nAnswer: -1 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78280 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56923123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5532 + 682?\nAnswer: 5bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 77.5825 and 1.\nAnswer: 77.5825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(sqrt(65) + -2*sqrt(65)))\/(sqrt(560)\/sqrt(7) - (sqrt(245) + sqrt(245)*-2 + sqrt(245) + sqrt(245) - sqrt(245))).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10.1, 2, 3 in ascending order.\nAnswer: -10.1, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -30\/79, 0.4, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 14 + 5 = -3*w, 3*w = -5*n + 9. Suppose -w*b = -5*b + 29270. Suppose -3*v + b = 2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 62 + (0 - 2)*-1. Let m = 34 + o. Calculate the greatest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 14. Determine b(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9745 is divided by 3240?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t + 7 - 7)*(3 + 2 - 6 + (0 - 1 + 3)*(0 + 1 - 3) + 1 - 3 + 1) to the form m + o*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 1. Suppose 0*g + 25 = v*g. Suppose -20 = g*s, -20 = 3*w - 7*w - 2*s. Solve -w - 8 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(469\/(-335)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**3 - 1863*x**2 - 4500*x.\nAnswer: 6*x - 3726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -1064?\nAnswer: 744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*n**2 + 2)*(-4*n**2 + 3*n**3 + 4*n**2)*(-4 + 2 - 5).\nAnswer: -42*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-12) + 2\/(-3). Let n be ((-4)\/6)\/(y\/(-54)). Solve -3*h + n = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10503936 and 6528.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - (-234)\/24. Solve -l*w - 17 = 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2 - 4*d**2 - 2. Let o(v) = -15*v + 9*v + 7*v. What is w(o(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let b(g) = -129022*g. Calculate b(y(c)).\nAnswer: 129022*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*t)*(-24*t - 1 + 3 + 22*t - 2*t**2) to the form d*t**2 + i*t + a*t**3 + m and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 2 = 30*p. Sort -19, -5, p.\nAnswer: -19, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8878 is divided by 2944.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1945 divided by -140\nAnswer: 389\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x**3 + 5*x**2 - 16*x + 584. Let d(t) = -35*t**3 - 20*t**2 + 72*t - 2338. Determine 9*a(g) + 2*d(g).\nAnswer: 2*g**3 + 5*g**2 + 580","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 + 4*v. Let f be y(3). Suppose 5*o - 6*c = -4*c + 109, 0 = 3*o - 4*c - f. What is the remainder when o is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74193*w**3 - 40612*w**3 + 97995*w**3.\nAnswer: 131576*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (79\/(-271444))\/((-12)\/18 + 22\/(-12)). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98281 and 0.01.\nAnswer: 982.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d - 45. Let p = 15 - d. Solve 0 = -2*y + 4 - p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a gram in milligrams?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 425*c + 24741. What is s(-69)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 11*w + 4*w**2 + 7*w + 2*w**3 - 2*w**2 in the form i*w + m*w**2 + c*w**3 + g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 74. Suppose l = 3*l - j. Suppose -2*y - 2 = -m, -m + l = 3*y + 2. What is the greatest common factor of m and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2 - 126950*c + 253904 = 0. Calculate c.\nAnswer: -126952, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y - 205. Let u(m) = -8*m + 409. Calculate 5*q(n) + 3*u(n).\nAnswer: n + 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + s + 7899, 5*l = 9*l + 5*s - 6325. Calculate the greatest common factor of l and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16901 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83 - 4?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) 0.13 (c) -0.2 (d) 1\/4 (e) -0.06 (f) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 298 - 245 = -177*z - 7, -5*z = 3*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08024 + 0.080233162. What is j rounded to 7 decimal places?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -27*q + 4*l - 18, 9*q + 34 = -42*l + 38*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 6, 0.18, 4, 2\/3.\nAnswer: 0.18, 2\/3, 4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1 + sqrt(1700))**2 - sqrt(1700)) + -1 + 1.\nAnswer: -30*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 + 3749670*x**4 + 1757508763110*x**3 + 5272503791330*x**2 + 5272496292000*x + 1757497514112.\nAnswer: 2*(x + 1)**3*(x + 937416)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14 - 378\/(-72)) + 7)\/(8*(-6)\/(-1152)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652*x + 3300 = 662*x. Calculate the highest common factor of x and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1\/17 (c) 32 (d) -2\/5 (e) 1\/4 (f) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.56 or -0.99?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*v*w**2 + 10*v*w + 4476*v + 40577763*w**2 wrt v.\nAnswer: 66*w**2 + 10*w + 4476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)\/((r\/(r**(-1)*r))\/r))**(-7\/8)*(r**(3\/2)\/r)\/((r\/r**(-1))\/r)*(r**(-6\/7)\/r)\/(r**(-1\/4)*r) assuming r is positive.\nAnswer: r**(-995\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 19 = -5*h + 3*p, -p = -2*h + 7. Let v be (383 - -5)*((-15)\/(-12))\/5. Let d = v + -73. What is the greatest common factor of h and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4\/8 - 61*p**3\/8 + 22*p**2 - 29*p\/2 = 0.\nAnswer: 0, 1, 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 3*o - 3*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4810 rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -61859*x + 61804. Determine i(1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t + 66. Let f be r(-7). Suppose 55 = 6*i - f. What is the least common multiple of 18 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-43)\/2*12\/22 + 3. Is u > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let z(x) = 157172052*x. Give h(z(n)).\nAnswer: -314344104*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -722.963 - 23.797. What is i rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 11*r**2 + 7. Let v be i(11). Suppose -h - v = 2*q - 0*h, -5*h = 15. Sort 5, q, 2.\nAnswer: q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183248 divided by 16?\nAnswer: -11453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7051040 and 221488?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 2*q - 290 + 198 = 0, -3*o + 4*q + 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 121 = 4*c, 3*c = -39898*f + 39894*f - 82 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 636 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50440969.\nAnswer: 50440969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*sqrt(1100) - sqrt(1100))**2.\nAnswer: 480*sqrt(11) + 39616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.146 in 1\/2, -1\/2, -2\/7, 2\/45?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2343, -19610, -66435, -157584, -307823, -531918, -844635, -1260740?\nAnswer: -1794999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(-7) - 18\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -168, -187, -188, -165, -112, -23?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-13 - -8 - (1 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**3 + 1109 + 1117 + 1086 - 3312.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 80964.8109 to the nearest integer.\nAnswer: 80965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 16 = 2*y + 3*y, -4*i - 10 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -50. Let m = 1 + -4. Put a, -2\/7, m in increasing order.\nAnswer: a, m, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -23*m - 22. Let r be k(-3). Differentiate 6 + 3 - 35*u**2 - r with respect to u.\nAnswer: -70*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8797, 8195, 7181, 5755?\n\"Answer: -206*t**2 + 16*t + 8987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:51 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5))**43\/(l**(8\/3)\/l)**(-2\/3) assuming l is positive.\nAnswer: l**(-1925\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -n - n. Is (-8)\/(-6)*n\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2683*n**3 + 13*n**2 + 15*n**2 - 5346*n**3 - 7*n**2 + 2662*n**3.\nAnswer: -n**3 + 21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 117386610 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 59572543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-6*f - 4*f + 2*f)*(0 + 0 + 1)*(5*f - 4*f - 4*f)*(-43 - 18 + 32).\nAnswer: -696*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298384723 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, s: 2, k: 3}. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.03879 rounded to 2 decimal places?\nAnswer: 10.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-329)\/141*(-6)\/(-4)). Solve 0 + 6\/7*k**3 + 0*k + 2\/7*k**5 + t*k**2 + 6\/7*k**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 747\/7 - 107. Let v be 0*((-15)\/10 + 1). Suppose v = -5*a, -2*q + 2*a - a = 0. Is q at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - g. Let m be b(0). Suppose -2*v + 10 = 2*j - 0*j, 3*j - 2*v = m. Let l = 3 - j. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250 + -4248\/17. Let m = -42 - -127\/3. Which is the third smallest value? (a) -4 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 15 - 22. What is the remainder when c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(192)*-2 - sqrt(192) - sqrt(192)))\/(-4*sqrt(96) - (sqrt(6) - (sqrt(162)\/sqrt(3) - sqrt(54)))).\nAnswer: 96*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2. Let v(b) = 2*b - 2. Let u(n) = -a(n) + v(n). Let h(o) be the third derivative of -59*o**5\/12 + 2*o**2 + 131*o. Calculate h(u(r)).\nAnswer: -1180*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 358386 and 3234.\nAnswer: 3942246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 11*k - 12. Let w be g(-9). Suppose -143 = w*r - 7*r. Suppose -5*j + r = -h - h, -4*h + 11 = j. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 5, 4, 2, -5 in increasing order.\nAnswer: -50, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -872, -1936, -3448, -5420, -7864, -10792?\nAnswer: -14216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -9. Suppose 0*i - 3*i = -p*q - 15, 0 = -q + 4*i - 20. What is the biggest value in 2, -2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -7*m - 5*a + 1, 4 = m + 4*a. What is the highest common factor of m and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + i - 3*i. Let k be (1 - 3) + 4 + 10. Let n = k + -13. Determine s(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/42361 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69078, 69041, 68980, 68895, 68786, 68653?\nAnswer: 68496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 8*t**2 + 22*t - 60.\nAnswer: -2*(t - 5)*(t - 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmbbbmmbbbbmmbbbbmm. Give prob of picking 3 m.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (273 - 151 - 140)*(0 - o**3 + 0) as p*o + l + q*o**3 + n*o**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/736 and (177\/42)\/((-238)\/(-68)*(-92)\/28).\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72280\/119 + 10350\/17. Factor 86\/7*v + c*v**2 - 36\/7.\nAnswer: 2*(v + 9)*(5*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*u - 2 = -3*t, -5*t + 1 = u. Factor 0*b**2 - 4*b**2 + 7*b**2 + t*b**2 - b**3.\nAnswer: -b**2*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106343898 or 106343897?\nAnswer: 106343898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1122 and 163438?\nAnswer: 490314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 33 = -4*b + 4*m, b + 5*m + 27 = 0. Let w be -9*b\/(-1530) - 3\/(-5). Is w != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/9375 and -73\/27?\nAnswer: 84375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -4*v - 13, v + 7 = 2*x - 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.923 + -10.9226125. Round x to five dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8273 is divided by 260.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 478043, 478175, 478343, 478565, 478859, 479243, 479735?\n\"Answer: 3*o**3 + 111*o + 477929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*p + 2*i, p + 2*i - 14 = -0*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11545389 divided by 1?\nAnswer: -11545389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27268 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 18 = 5648*k - 5652*k, 0 = 4*k + 5*x - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, -5\/2, -6\/181, -4 in descending order.\nAnswer: 1\/17, -6\/181, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - -150. What is the common denominator of (s\/(-495) - (-4)\/18) + 0 and -125\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 119*t**6\/120 - 1357*t**4\/24 - 4*t**2 - 45*t. Find the second derivative of w(a) wrt a.\nAnswer: 714*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*w = -35, 2*w = -r + 4*r - 32. What is the remainder when 58 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let r be 3\/27*(-3)\/(-4). Let i(h) be the second derivative of -3*h + 0 - r*h**4 + 0*h**3 + 0*h**2. Give i(s(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2057) + 0 + sqrt(2057).\nAnswer: -3 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6048 + 6047.5. Let i = -1.2 - -1.7. Sort s, 4, 2, i.\nAnswer: s, i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -600 + 851. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*l - 1409276 = -91*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*i = -29, 4*o - 4*i + 17 = 3*o. Suppose 2 = x - o*s + 4*s, 20 = 5*s. Let w be 15\/20*1\/(-3). Which is the closest to w? (a) 3 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161159\/12 + -13437. Calculate the common denominator of s and 55\/936.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417000137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (50162\/105)\/(84\/(-5)). Let d = 263\/9 + j. Calculate the common denominator of 37\/18 and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -462287 (base 13) to base 3\nAnswer: -10010101222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 15 = -3*n, 2*o + 22 = 4*n + 2. Suppose -28 = 6*c - n*c. What is the common denominator of (1 - 4\/12)*318\/40 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*4)\/sqrt(10) - (sqrt(7) + -2*sqrt(7)*1 + 2*sqrt(28)\/sqrt(4)).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**3 - 4*h**2 - 3*h - 3. Let s(c) = -5*c**3 - 3*c**2 - 2*c - 2. Give -4*a(w) + 6*s(w).\nAnswer: -10*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5 + 63*p**4 + 378*p**3 + 930*p**2 + 963*p + 351 = 0. Calculate p.\nAnswer: -13, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-284)\/(-497))\/((-10)\/7). Put 1\/12, y, -1\/16 in decreasing order.\nAnswer: 1\/12, -1\/16, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13884127 and 6?\nAnswer: 83304762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -47, -70, -91?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26861 is divided by 448.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -210 (c) -1\/14 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206 or -207?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/312 + (-1)\/(-8) + 98\/12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 2. Let w be g(-1). Let s(p) = 4*p**3 - 22*p - 5*p**2 - 12 - 5*p**2 - 5*p**w. Let l be s(-7). Let c(m) = m**3 + 5*m**2 - 2*m + 2. Determine c(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51591144 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1229\/5 + 247. What is the closest to 0 in m, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5 - 1512*i**4 + 428652*i**3 - 54010152*i**2 + 2551979682*i = 0 for i.\nAnswer: 0, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1795800 divided by 14965.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 114537324 divided by -3457?\nAnswer: -33132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*s = -1949 - 1031, 4*s + 2245 = 3*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*w = -y + 22, 5*y = -5*w + 30. Let o be (-4 + y)\/(2 - -8). Which is the second biggest value? (a) 5 (b) o (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 222 = -29*g - 17*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -266 divided by -133\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:27 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 868*c**3 - 485*c**3 - 477*c**3 + (0*c - 2*c**2 + 0*c)*(-6*c + 0*c + 5*c).\nAnswer: -92*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -4 + (6 - (-2 - -4)). Suppose 6*k - 21 = 3*k. Solve i = -i - 5*u - k, -y*i - 5*u = 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4039 and 12460?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 22\/9 (b) 5 (c) -4 (d) -348\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-446)\/6)\/(24\/(-72)). Let c = j - 222. Let l(g) = -g + g - 6*g**2. What is l(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*o + 269*o = 6678. Solve 310 = 8*a + o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3957880635?\nAnswer: 3, 5, 179, 491357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1 + 1 + 0*h**2 + 3*h**2 + 5*h. Let l(z) = -z. Suppose 5*r + 5*j = 50, -50 = -r - 4*r - j. Suppose -g - r = -9. Give g*b(d) - 5*l(d).\nAnswer: -3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-15 - -5 - -17)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18\/6*-2 - -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 - 7?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 67, -30, -167, -344, -561?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/111 and 23\/54393.\nAnswer: 2012541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**4\/6 + 5*z**3\/2 + 17*z**2\/2 + 68*z. What is g(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000002954455 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3364 + 5247. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*o + 2*o - 126, 3*d = -o + 126. Suppose -t = 2*t - d. What is the highest common divisor of t and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -28. Let k = a - 17. Solve k*j = -5*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 3. Let l(y) = -6*y - 17. Let v(r) = -6*l(r) - 34*z(r). Let h be v(1). Let n = 73 + -74. Put 0, n, h in ascending order.\nAnswer: n, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - 1 - -2) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1137, -3 in decreasing order.\nAnswer: -3, -14, -1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/9)\/k)**(-27) assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/7 and -47\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 3*c**4 + 16*c + 2*c**2 - 910*c**3 - 2*c**4 - 17*c - 6*c**2 to f*c + h*c**3 + q*c**4 + y*c**2 + k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.999 rounded to 1 dp?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 178 or -4?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 3. Let v be l(0). List the prime factors of (-1)\/3 - (-43)\/v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3717 - -3719. Solve -3*u - p = p - 15, 2*u = d*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 36*t**3 - 4*t + 4. Let d(h) be the third derivative of 73*h**6\/120 - 3*h**4\/8 + 3*h**3\/2 + 6827*h**2. Determine -4*d(o) + 9*g(o).\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4624 divided by -34?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-28) + (-106)\/14. Let j be (y\/(-26))\/(-2 + 0). Let s = 1567 + -1563. Sort s, j, 5 in increasing order.\nAnswer: j, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114402?\nAnswer: 2, 3, 23, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*v + 1. Suppose -u = -v*u + 12. Suppose 0 = 3*k - 54 + u. What is the least common multiple of k and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122995 is divided by 3967.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40962, 163850, 368672, 655434, 1024142, 1474802, 2007420, 2622002?\n\"Answer: f**3 + 40961*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 18 - 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50880501?\nAnswer: 3, 7, 269209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16082, -32159, -48232, -64301, -80366, -96427?\n\"Answer: 2*t**2 - 16083*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -282846, -565733, -848620, -1131507?\n\"Answer: -282887*n + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-490)\/(-26) + 12\/78 + 0. Let l(y) = 13*y**3 - y**2 - 3*y + 1. Let j be l(2). What is the highest common divisor of j and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42352 plus 6.69?\nAnswer: -42345.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/12 - 5*i**4\/24 + i**3\/6 - 1775*i**2 - 1. Let h(y) = -6*y**2 - 4*y + 1. Calculate 5*h(o) - 4*q(o).\nAnswer: -10*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 13411.919 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 + 4*o**2 + 2*o + 43*o + 2*o to the form r*o + q*o**2 + t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74669243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-11 + 0 + 4). Suppose 2*v + 4*a - 18 = 0, -2*v = p*a - 5 - 14. Is 204 - (2 - v)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298268?\nAnswer: 2, 74567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 19 = 4*w - 5*o + 5, -2*o = -21*w - 10*w - 68 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*-1 + 0\/(-4). Put -1, t, -5 in descending order.\nAnswer: -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**3 + 28*w + 24 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*-3*256\/(-192)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**4 + u**3 + u - 1. Let i(z) = -10*z**4 - 12*z**3 - 2*z**2 - 11*z + 11. Let r(c) = 2*i(c) + 22*w(c). Suppose r(l) = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104602029127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24081*g*l*r - 2854*g*l + 4*g + 84*l*r + 542*l + 6*r - 1 with respect to r.\nAnswer: -24081*g*l + 84*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4374 - -4579. Calculate the remainder when n is divided by 108.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -49 - (-1014 + 859)) + -1 + -7.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) -7\/194 (c) 0.1 (d) -1\/21 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 692155?\nAnswer: -1\/138431","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -721.814 - -728. Let x = -9.6 - -9.514. Let f = c + x. What is f rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4756 less than 19855188716?\nAnswer: 19855193472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 12 = 2*w, 2*v + 4*w - 4629 = -4657 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -49. Suppose h = 2*s - 241 - 101. What is the highest common factor of 19 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027853855 rounded to 4 dps?\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245 + 249. Suppose 2*g + 5*y = 18, -y + 63 + 9 = v*g. Which is greater: 17 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 2bc2?\nAnswer: 2bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(((m\/m**(-2\/25))\/m)\/m*m))*(m\/m**(12\/7))\/m*(m**4\/m)**(-4\/13) assuming m is positive.\nAnswer: m**(-5818\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2581, -10097, -22625, -40165, -62717, -90281?\nAnswer: -122857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9108 + -5848. What are the prime factors of q?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-820*o**2 - 1798*o + 858*o + 1 + 939*o)*(-1 - 5 + 2).\nAnswer: 3280*o**2 + 4*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306.4042km to centimeters.\nAnswer: 30640420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 3:35 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + w**2 + 4. Let h be m(0). Let d be 2\/(-3) + (h\/3)\/2. Solve -3*i + d + 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 968337 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 4:13 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from cydmv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 19. Let r be g(8). Suppose 4*y = -r*p - 77 + 332, 3*y = -5*p + 205. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13163 (base 8) in base 6?\nAnswer: 42335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2 + 7*f + 5 + 5*f**2 - 4*f**2. Suppose -41 = 5*j - 4*r, -6*j + 3*j - 2*r = 7. Determine a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:22 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2\/(-6))\/((-6)\/2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 4*v - 8. Let m = 85 - 96. What is the closest to m in -0.5, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(78) - sqrt(78)*-1)*3)\/(1*sqrt(72)\/(sqrt(12) - 2*sqrt(12) - sqrt(12))).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 948363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1.95765?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22.1115094 * 4\nAnswer: 88.4460376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 + 0*r**3 - 114*r**2 - 9*r**3.\nAnswer: -9*r**3 - 101*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 1324471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -792 + 793. Let c(x) = -x + 0 + 0*x + 3. Let b be c(v). Let i(w) = -w**2 - 2*w + 3. Determine i(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1581652 and 12748592.\nAnswer: 7948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, -2, -10, -18, -26, -34?\n\"Answer: -8*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + 4 + -13 + 11 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w + 193 + 1188 = 293 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13024 (base 5) to base 16\nAnswer: 3f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 695.7 - 2293.8661.\nAnswer: -1598.1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 9 = 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3786.\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124014 is divided by 62000.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -188135042 divided by -1?\nAnswer: 188135042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.0408 = 35.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2575.7 + 2576. Put -0.5, 1, n, 0.2 in descending order.\nAnswer: 1, n, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/60963093 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -12022111?\nAnswer: 12022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6*w + 531 = 0. List the prime factors of w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9415369, -9415222, -9415073, -9414922?\n\"Answer: q**2 + 144*q - 9415514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 53?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2190552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 5*j + 2. Let v = 250 - 242. Calculate the remainder when v is divided by g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p + 5*p - 5*p + (6 - 7 - 5)*(24 - 24 - 3*p).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31153059 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*z + 27*z + 4*z**2)*(-12*z + 13*z + 15*z)*(0 + 1 + 1) to q*z**3 + i*z + g*z**2 + j and give q.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -9*d + 4*l + 20, 0 = 4*d + 5*l + 25. Let g = 47 - 21. Suppose d = v - g + 3. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-25) - (-2)\/(-5). Let q be (-1)\/12 + 280\/(-96). Let m = 6 + q. Solve -x = -m + n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + 4*sqrt(396)\/sqrt(4) + (sqrt(88) - (2*(sqrt(88) - ((sqrt(88) - (sqrt(88) + (sqrt(88) - 1*sqrt(88)))) + sqrt(88))) + sqrt(88)))\/sqrt(8))**2.\nAnswer: 240*sqrt(11) + 7940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11130708.5 - 584?\nAnswer: -11131292.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -641a8a (base 11) to base 9.\nAnswer: -1835426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202 - 17 - 343)*(-4*z + 2*z - z)*(0 - 7*z + 0).\nAnswer: -3318*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r + 4*r - r)*(-r**2 - 4*r + 4*r)*(7*r - 7*r - 7*r) to q + i*r**3 + p*r + x*r**2 + l*r**4 and give l.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-1 - -4 - -11). Suppose f*m = 22*m - 848. List the prime factors of m.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, b: 2, x: 1, y: 11}. Give prob of sequence bbx.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 8\/2)*18\/63. Find the second derivative of -w + 0*w**c + 4*w**2 + 3*w**3 + 6*w + 8*w wrt w.\nAnswer: 18*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1) + -4 + 0 + 2731. Suppose 19954 = 8*q + a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 3 - 6) + (2 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -v - 3*t + 6, 0 = 3*v - 4*t + 154. Let s = 47 + v. Let g be (s - 201)\/((-3)\/(-66)). Round g to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73150187 take away -262148?\nAnswer: -72888039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 1\/(2\/(-4)). Let f be (6\/(-3) - -8) + 0. Suppose -4*g = q*w - 0*g - f, 2*g = -8. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 9205880\nAnswer: -174911720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0342 and -4279 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6 + 3*l**2 - 2*l + 2*l - 3. Let y = 111 - 95. Calculate the remainder when w(-3) is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p = -10*p + 92*p + 2185 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87410032 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + 2 - 2 + (4 - 6 + 1)*(25*w**2 - 60*w**2 - 104*w**2) as h + m*w**2 + l*w and give m.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 5. Let g be h(0). Suppose -3*j - 7 + 72 = -4*d, -g*d + 74 = 2*j. What is the highest common factor of j and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 s, and 1 f when three letters picked without replacement from bqskqqf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15947\/140 + -783\/7. What is the common denominator of -17\/16 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/11 - (-24)\/(-11). Let l(h) = h + 2. Let y(d) = -d - 2. Let x(a) = a**2 + 5*a - 3. Let v be x(-5). Give r*y(o) + v*l(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*k - k**2 - 32*k + 2*k**4 + 2*k**3 + 3 + 15*k to the form n*k**3 + g*k + s + w*k**2 + q*k**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16280354?\nAnswer: 2, 8140177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) -6.7 (c) -47 (d) -57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**3 + l**3 - 3*l**3 + 4*l**3 - l**3 - 2*l**3 + (-l**2 + 3*l**2 - 3*l**2)*(-4*l + 2*l + l) + 0*l**2 + 0*l**2 - 2*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1514 smaller than -1505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -68. Let a be (-6)\/(-1) + (15 - 11). Calculate the greatest common divisor of a and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*(b**(-2\/21)*b)\/b)\/(b*b\/(b\/(b\/(((b*b**(-7))\/b)\/b)))*b**(2\/17)) assuming b is positive.\nAnswer: b**(-4360\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -v + 15. Let s(t) = 6*t**2 + 10*t + 10. Let o(n) = -n**2 + n - 1. Let h(g) = v*o(g) - s(g). Factor h(k).\nAnswer: -4*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -53. Let c = -16.528 - -3.55. Let y = c - r. Round y to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2336879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157151812*t**2 - 314303538*t**2 + 157151722*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 19*p**2 + 140*p - 1793. Give r(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -1874 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -7.6. Let a = -0.2 + o. Let u = 2.9 + -3. Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 19, 5, -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(117)*-3 - sqrt(117))\/(-1*sqrt(900))*-2)**2.\nAnswer: -8*sqrt(13)\/5 + 233\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11201 (base 3) to base 6.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 670.1 + -670. Let o = -5 - -7. Which is the closest to o? (a) 3 (b) 0.05 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(119)\/(sqrt(7)*-2) + -4 + (sqrt(17) - (2 + sqrt(612)) - sqrt(17))**2 + sqrt(17) + (sqrt(17) - sqrt(68))*-6.\nAnswer: 61*sqrt(17)\/2 + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593 at least 4601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, g: 3, v: 5, l: 3}. Give prob of picking 3 l.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2.6. Let g = 279 + -276.19. Let x = -7.19 - g. Which is the second biggest value? (a) 5 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18031716299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1713\/1142*(-16)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14266929 divided by 57\nAnswer: 250297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405301.\nAnswer: 13, 31177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 23 = 3*u, -2*v - 9 = 5*u + 2*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -25*n**3\/3 - 10*n + 25. Find the first derivative of w(v) wrt v.\nAnswer: -50*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 21*c**2 + 495*c + 10276. Determine u(-20).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 46*f**3\/3 + 3*f**2\/2 + 6*f + 143. Is 13 a factor of g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140012 + 31005?\nAnswer: 211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 785433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 7. Suppose -3*x - 2*i + 16 = -2*x, 4*x = -4*i + 52. Solve -o + 8 = 5*a - w*a, 0 = -2*o + x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 49*c + 5 + 34*c**4 + 2035*c**2 - 50*c - 2037*c**2 + 0*c**3 to the form v*c + s + d*c**3 + j*c**2 + g*c**4 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 19470.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j + 6 = 0. Let v be 1700*j*(8 - -2). Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 295 + -175. Calculate the highest common divisor of 50 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/6*(63\/(-7))\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k, -x - 2*k - 3*k + 65 = 0. Calculate the highest common divisor of 18 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132*2\/(3*418\/114)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3*(-2)\/(-9))\/(-4))\/(338\/257049*-39).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 29 + 23 = -4*i, 4*a - 4*i = 208. Let l = a + 15. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8318, 8360, 8402, 8444, 8486?\n\"Answer: 42*h + 8276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 + 71 + 74)*(1 + 0 + 1) - 3 + 0 - 2)*(-3*k**2 - k**2 + 3*k**2).\nAnswer: -301*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 135 = -15*n. Let t = -1 - n. Is (-2 + (-53)\/3)*(t - -7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k**2 - 40*k + 139. What is the units digit of g(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17068)\/(-502)*(30\/4 - 1). What is the greatest common factor of 39 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-16) - (2184\/192)\/13.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**2 + 5*p - 4. Let z be a(2). Suppose 73 - 13 = -4*y. Let l = y - z. What is the lowest common multiple of 6 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 2*j**2 + 2. Let o be m(2). Let v(c) = c**2 - c - 2*c**3 + 4*c**3 - o*c**3 - c**3. Let y be v(0). Solve y*p = w + p, -2*p - 20 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-50)\/(-20) - 6\/(-4). Put -80, -3, s in decreasing order.\nAnswer: s, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x - 6*x - 4505. Let a = -265 - x. Factor 3\/2*f**3 + 3\/4*f**4 + 0*f + 0 + a*f**2.\nAnswer: 3*f**3*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/105*65\/26?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 13*g**2 + 22*g + 23. Let b be u(-11). Solve 9*a = b + 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 5\/2*f**2 + 0*f + 5 - 7\/3*f**3. Suppose 0 = k - 2*k - 1. Let z(h) = -h**2 + h. Calculate k*x(c) + 5*z(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 - -1010?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(196)*-2 + sqrt(4))*-4)\/(3*2*sqrt(2) - (sqrt(2) - (sqrt(2) - (sqrt(18) - sqrt(2))*1))))**2.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 42. Calculate the remainder when 73 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5 + 2398*g**4 + 138248*g**3 + 1793248*g**2 + 8321408*g + 12829696 = 0.\nAnswer: -1139, -44, -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1010958 and 83486?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 71 (b) -15 (c) 3 (d) -0.1 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f + 5*f + (-2 + 4 - 1)*(f - f - f) - f + f + f)*(-46 + 286 + 30).\nAnswer: 1080*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 389, -4, -2, 17, 1 in decreasing order.\nAnswer: 389, 17, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/68 and -27\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1306*d = -1289*d. Let i(m) be the third derivative of 0*m**3 + 1\/360*m**6 - 1\/180*m**5 + 0*m - 1\/36*m**4 + d + 3*m**2. Find h, given that i(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d + -4486da?\nAnswer: -448718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 590*i**3 - 2*i - 3*i**4 + 7*i**2 - 5*i**4 - 9*i**2 - 589*i**3 in the form r*i**2 + o*i**4 + g*i + v + w*i**3 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3397 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 9. Let v(a) be the second derivative of a**3\/2 + 13*a**2\/2 - a. Suppose 0*f + 6 = 2*s + 2*f, s = -5*f - 5. Give s*v(j) + 7*g(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2112 (base 6) to base 4\nAnswer: -13130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*l + 4 - 2.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 12 = -2*t - 4*b, -5*t + 20 = -5*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 + 7*y**2 + 1 - 1 + 2*y**2 + 0 + 0 - 2*y**2 - 2*y**2 + 2*y**2 + y**2 + (2*y - 3*y + 3*y)*(-1 - 2*y + 1) - 9*y**2 - 54*y + 54*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v + 35. Determine f(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2518318?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**4 - 10540*q**3 + 6927396*q**2 + 20856028*q + 13918088 = 0.\nAnswer: -2, -1, 1319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 61 + 3706\/935?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*a - 353, -2*a + 369 = v - 0*a. Suppose v = 5*s - 39. Suppose -5*f = 3*r - s, f + 5*r + 64 = 5*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*j**5 + 4 - 40*j**2 + 39*j**4 + 80*j**3 - 46*j**4 - 53*j**4 = 0. What is j?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 907 or 908?\nAnswer: 908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 5*n**9\/1008 - n**6\/20 - n**3\/3 + 3*n**2. Let z(t) be the first derivative of b(t). Find the third derivative of z(l) wrt l.\nAnswer: 900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 86 = -5*z. Suppose -4*b - 5*r = z, -3*r = 3*b + r + 9. Is (10736\/4 - -2) + b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31531191?\nAnswer: 3, 79, 233, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/39438 and 83\/26292.\nAnswer: 78876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233 divided by 41.\nAnswer: 233\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - s + 3 + (-3 + 5 - 4)*(s - 3*s + s) - 3*s + 4*s - 4*s)*(-2*s - 4 + 4).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*240\/96?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/7 + 44*z**4\/7 - 156*z**3\/7 + 32*z**2 - 146*z\/7 + 36\/7 = 0. Calculate z.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 275.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1001011011 (base 3) to base 7\nAnswer: 113560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -13. Let a = 5.6 - r. Let p = -0.4 - a. What is the closest to p in 2\/23, -0.1, -5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:50 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 + (52 - (23 - 12)) + -108.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u**2 + 5*u - 131. What is l(0)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36229 is divided by 8887.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37742, 75782, 114118, 152750, 191678, 230902, 270422?\nAnswer: 310238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, 15 in decreasing order.\nAnswer: 15, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**3 + 7118*v**2 + 28448*v + 28440 = 0.\nAnswer: -3555, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 3, -5, -13\/3, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(-3*g + 2*g - g) - 2*g - 1 + 1)*(2*g**3 - 7*g**3 + 0*g**3).\nAnswer: 30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 + 40?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**3 + 46*p**2 - 54*p + 10. Calculate s(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/55 + ((-4)\/22 - 0) - (1356 - 1355)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*(-6)\/(-114)*21090\/111?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/15 and -71\/297.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59326674941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, 969, 4584, 11621, 23220, 40521, 64664?\nAnswer: 96789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -381*x**5 - 2*x**2 - 657*x.\nAnswer: -7620*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492413179?\nAnswer: 1492413179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -3, 5, 4, -117 in decreasing order.\nAnswer: 5, 4, -3, -34, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 26 = 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fakfaaakifpj. What is prob of picking 2 p, 1 j, and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10.54 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18*t = 15*t - 6778, -4*t - 6774 = -5*u. Does 97 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 1) + 4 + (-11 - -15) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.32? (a) -1\/11 (b) 91 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*k + 32. Suppose -k*z - 1205 = -8220. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1879649961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4002, -7999, -11994, -15987, -19978, -23967, -27954?\nAnswer: -31939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1218 take away 0.3?\nAnswer: -1218.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142794624?\nAnswer: 2, 3, 7, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/r**(1\/16))\/r)**(6\/13))**35)**(-44))**(-3) assuming r is positive.\nAnswer: r**(-3465\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 4*m - 1. Let w(o) be the third derivative of -o**5\/60 - o**4\/24 - o**3\/6 + 5*o**2. Give -t(c) + 4*w(c).\nAnswer: -c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5708 + 2?\nAnswer: 5711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) - (-80)\/24. Solve -5*c + 21 = -h, y*h - h + c = 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 2*y**4 + y + (-2*y**2 - y**2 + y**2)*(1078 - 1078 + 92*y**2) + 5*y**4 + 0*y**4 - 2*y**4 to x*y**3 + k*y**2 + n*y + m*y**4 + c and give m.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(208) + 0)*4)**2 + -5*-2*sqrt(208) + -2.\nAnswer: 40*sqrt(13) + 3330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (660\/429)\/(3*28\/1638)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 10:52 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -81573, -81384, -81197, -81012, -80829, -80648?\n\"Answer: -l**2 + 192*l - 81764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -2013?\nAnswer: -18117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-16 - -26) + 1 - -1\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + 699. What are the prime factors of l?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(6\/5)\/n)\/(n*n*n\/(n*n\/n**(1\/18))*n) assuming n is positive.\nAnswer: n**(-167\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.45 (b) -0.0259 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 104760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -14, 3, 26?\n\"Answer: 3*i**2 + 2*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -31873079 divided by -5\nAnswer: 31873079\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1, 829, 2, 73?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/18 and -145\/995808.\nAnswer: 2987424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.65967542 to 3 dps.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17520 and 32996?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5700) + sqrt(5700) + -4*sqrt(5700))\/(sqrt(6)\/(sqrt(4)\/sqrt(2))))**2*-1.\nAnswer: -7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 22693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7482*j**2 + 14974*j**2 - 50*j + 414*j - 7488*j**2 to the form b*j + o*j**2 + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*((-44137)\/460)\/101?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - (94 + -99).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from xwb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4322 + -2684089.151.\nAnswer: -2679767.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**5\/60 + d**2\/2 + 37*d. Let k(n) be the first derivative of g(n). Let b(a) = 52*a**2. What is k(b(s))?\nAnswer: 2704*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = -2 + 24. Suppose -4*h = -u*o - 194, -2*o - 181 - 61 = -5*h. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81492613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*b*g*p**2 + 2*b*g - b - 2*g*p**2 + 43*p**2 + 86 wrt p.\nAnswer: -16*b*g*p - 4*g*p + 86*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101000000111100111 (base 2) to base 5\nAnswer: -20224302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uucmumumcp. What is prob of sequence cuu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p. Let y(b) = 235*b. Calculate y(j(h)).\nAnswer: -1175*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 9369104.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and -25?\nAnswer: -4.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(304) - (1*sqrt(304) + 4)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w**3 - 96*w**3 - 3739*w**4 - 3*w**2 + 3742*w**4 - 6*w + 135*w = 0 for w.\nAnswer: -1, 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -20*f. Let v(y) = -39*y. Let o(w) = -9*c(w) + 5*v(w). Let s be o(-1). Suppose -2*b = -5*b + s. Solve b*j - 6*j - 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10216 - -8698. List the prime factors of m.\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 1. Let i(k) = -2*k**2 + 3. Suppose -597*p = -595*p + 2. Give p*i(f) - 3*t(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -223*b**4\/12 + 1208*b**3\/3 + 5*b + 86. What is the second derivative of o(i) wrt i?\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 303316115 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5022 and 11891.\nAnswer: 59716602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -13. Let v = 14 - y. Suppose -20 + v = -n. Calculate the lowest common multiple of n and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-9)*-15*(-1944)\/(-96)*(-12)\/(-45).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.44 + -16.56. Let x = h + 16.9999989. Round x to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(8017 - 7394 + 1207 + 1679 + 7846)*(-o**5 - 3 + 3).\nAnswer: 22710*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Suppose 5*v + z - 143 = 0, -4*z = 4*v - 121 - h. Let u = 24 - v. Which is the second biggest value? (a) -0.4 (b) 6 (c) u (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -15, -10*x - 101 = 4*a - 7*x. Sort 1, 0, a in decreasing order.\nAnswer: 1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 15066?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 239 = 96 + 109. Sort 12, -181, r.\nAnswer: -181, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) -160 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*n = -131156, 0 = 7*n - 4*n + 9. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-8))\/(30\/(-360)). Does 42 divide (9276\/24)\/(y - 20\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 2 - d + 3*d**2 + 12*d. Let t be f(-3). Is 6 a factor of (2 + t\/(-1))*31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -4402223?\nAnswer: -4402250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188*n = 3*j + 1193*n - 26, -3*j + 5*n - 44 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/336)\/(6*3\/(-24)*26\/39).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -15. Let v be (1\/2)\/((-6)\/i). Which is smaller: v or 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 3*s**2 - 3*s - 3. Let k be o(-6). Suppose -2*f + k = w - 0*f, -5*f = w - 126. Calculate the highest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -1458 (c) 1\/7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 16, 23 in increasing order.\nAnswer: -2, 5, 16, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1592*z**2 - 13*z - 71. Is w(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*h - 77*h - 28 = 0. Let g be h\/(-42) - 46\/(-6). Suppose -g = -j - 0. Solve j*d = 2*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 906, 6, -8, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -3a?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*d - 12 = 0, 4*q + 3*d - 7 - 23 = 0. Suppose -3*o = -3 - q. Is 52 - o\/(9\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 23*b - 72. Let w be v(-3). Solve -d + 21 = 4*o, -4*d + 9 + w = o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 68*a + 0*a**2 - 4*a**2 + a.\nAnswer: -a**2 + 69*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 970398 and 2156121.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41596.42kg in nanograms?\nAnswer: 41596420000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83101065 to the power of 1\/3, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 426c + 8b?\nAnswer: 432a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1205*s + 405*s + 675*s in the form m + y*s and give y.\nAnswer: 2285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 354 and 14449749?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 554*s - 554*s - 12*s**3.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -5 (c) 274 (d) 0.111 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 4*k**2 + 7*k + 3. Let o be m(-5). Let c = -16 - o. Let w = 4 - c. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/547806 and 17\/39.\nAnswer: 7121478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -161*x - 24. Suppose 2 = -5*y + h - 8, -5*y + 2*h - 10 = 0. What are the prime factors of p(y)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 18. Let c be s(0). Is (4\/6)\/(2\/c) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 0*d = -5*x + 20, -4*x - 11 = 3*d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (4\/(-6))\/(6\/9). Suppose 0 = -l*v - v + 37. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u + 14*u - 19*u. Let j be l(-1). Suppose 0 = j*p - 12*p - 6. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + z - 7*z**2 + z**3 + 0*z + 4*z to the form f*z**3 + j + s*z**2 + c*z and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvaaababhvvhhbhvaav.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**4)**(14\/3)*(l**(-13)\/l)**(-14\/5))**(-44) assuming l is positive.\nAnswer: l**(-41272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**5 - 148*r**4 - 2760*r**3 - 4896*r**2 = 0.\nAnswer: -12, -2, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 - 59. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -994130*r - 24574. Let k(g) = 2224*g + 55. Give -5*f(t) - 2234*k(t).\nAnswer: 2234*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530487.3 millennia to years.\nAnswer: 530487300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 30*n**2 + 17*n - 12. Is u(-29) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -153. Which is smaller: -114 or p?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57ac3d + -114?\nAnswer: 57ab29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 1\/6, 0.1 in ascending order.\nAnswer: -0.15, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {n: 2, u: 3, m: 6, k: 1, y: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 38*h**2 + 216*h - 137. Determine n(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {x: 7, m: 3, r: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 246*t**4 + 94*t**3 - 980*t**2 - 376*t - 16 = 0.\nAnswer: -2, -1\/3, -2\/41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 2203?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1646*t + 1735*t - 3)*(4*t**2 - 4*t**2 - t**3).\nAnswer: -89*t**4 + 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 1. Let q be s(2). Solve 0*w - w = -q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11578 and 11578 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(920 - 460 - 456 + 37*g).\nAnswer: -74*g - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576 and 13848.\nAnswer: 332352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2. Let b(a) = 28*a**2 + 6*a. Let i(r) = -29*r**2 - 7*r. Let k(d) = -6*b(d) - 5*i(d). Determine y(k(m)).\nAnswer: 1058*m**4 + 92*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1628036*y**5 - 498*y**2 + 1533*y?\nAnswer: 97682160*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -34 and -663\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 7*y**2 + 8*y + 3. Let v be a(-6). Let d = -13 + -5. Let s = v - d. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*2332\/(-75790)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 12:14 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/11 + (-16)\/(-1408)*-188*4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 6*p - 4. Determine w(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6\/7 (b) 1 (c) -5\/3 (d) -1.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*n - 5*q - 10 = -62*n, 3*q = 4*n - 35. Which is the nearest to n? (a) 0.4 (b) -2\/3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22573\/4430 + 2\/443. Find the common denominator of k and (19\/(-6) + (15 - 13))\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let u(p) = 40*p**2 - 5*p - 5. Let w(m) = 5*f(m) - u(m). Let r(c) be the first derivative of c**2 - 39116. Determine w(r(o)).\nAnswer: -160*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -820, -1\/7, -28, 3\/13, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -35*r + 72. Let k(j) = 102*j - 214. What is 6*k(w) + 17*y(w)?\nAnswer: 17*w - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4, 5*a - 5 = -7*f + 2*f. Suppose -f*i = -4*i. Suppose z + 2*z - 3 = i. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -1\/8*g**4 - 1\/120*g**6 + 0 + 0*g**3 - 1\/12*g**5 - 23*g**2 + 0*g. Suppose -3*s = -6*s - 6. What is r(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 8344743*o**2 - 25034248*o - 83447460.\nAnswer: (o - 5)*(o + 2)*(o + 8344746)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 0) + (-35 - -9 - -19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -427\/86089?\nAnswer: -427\/86089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - l + (-2 + 2 + l)*(-5 + 1 + 2) + (0 + 2 - 4)*(-l + 0*l - 5*l))*(3*l - 4*l + 3*l) as g + a*l**2 + w*l and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -11*j**4 + j**3\/2 + 269*j**2\/2 + 257*j - 3. Find the first derivative of x(d) wrt d.\nAnswer: -264*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1348)\/(-28) - (-9)\/(-63). Calculate the common denominator of 4\/4 - 302\/y and -91\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 take away -0.04?\nAnswer: 303.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(270\/(-8)))\/(154\/231)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.02 (c) 3\/2 (d) -0.3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 101. Solve u = f*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -51. Let g(l) be the second derivative of l**4\/24 + l**3\/2 + 7*l**2\/2 - 8*l. Let h(q) be the first derivative of g(q). What is h(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.16063 litres to millilitres.\nAnswer: 13160.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 5*w**2 + 7*w - 1. Calculate a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28984, 28979, 28974, 28969, 28964?\nAnswer: 28959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 78804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*p - 67, 0*p + 3*p - 57 = 3*w. Suppose 484 = 11*m - 15*m. Let j = w - m. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 4 - 10. Suppose -5*h = -9*w + 11*w - 295, h - 307 = -j*w. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2 (b) 3\/8 (c) 2895 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) 2 (b) -0.1 (c) 0.04049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2454 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by (-2)\/(-16) - (-3 + 2061\/(-24)).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:00 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3120 + -3108. Let k(r) = -2*r + 21 + 0*r + 6. Let p be k(v). Solve -p*a = -a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 56*h**2 + 867*h - 22. Let u be l(-16). What is the highest common divisor of 12155 and u?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -28. Let v(q) = q**2 + 15*q + 20. Let s be v(c). Suppose -r = -13 - s. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 10*c - 7. Calculate the remainder when x(-7) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 10 = -q + 5*v, -q - 4*v = 2. Let o be ((-2)\/q)\/((-17)\/85). Let l(n) = n**2 - 2 + 6 + 4*n + o - 7*n. Give l(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 3811 + 3505 = -17*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**6\/120 - d**5\/20 + d**3\/6 + d**2. Suppose -3*h = h. Suppose 5*v - 2*r - 14 = h, 0*r + 5*r = -10. Calculate m(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by ((3672\/16)\/17)\/(1\/6).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 98731440122743.\nAnswer: 98731440122742.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**0)**(1\/6)\/(s**(1\/5))**(3\/22) assuming s is positive.\nAnswer: s**(23\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 12*r + 29. Let i = -44 - -53. Let n be y(i). Solve 6 = -z + o, -n*z + o = -7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 21 - 7*p + 8*p + p + 30 in the form m + t*p and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 355136443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 244*i. Let a(j) = -j**2. Determine k(a(x)).\nAnswer: -244*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40144385 + 57?\nAnswer: 40144453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvdmvmdumvvmsum. Give prob of picking 2 d, 1 m, and 1 u.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqqvkfh. What is prob of picking 1 z and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15620, 31240, 46904, 62636, 78460, 94400, 110480, 126724?\n\"Answer: 4*z**3 - 2*z**2 + 15598*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:56 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/7 + 1\/7. Let x = 0.0132 + -280.0132. Let z = -285 - x. Which is the third smallest value? (a) z (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/(2\/12). Let f = -26 - -26. Which is the nearest to -0.1? (a) f (b) m (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -321*(-8)\/84 + 4\/(-7). Let u be 12\/z - (-2)\/(-5). Let x(j) = j**2 - 5*j - 1. Let m be x(6). Solve -m = -u*p - 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 13*f + 8. Let x = 16 - -2. Calculate the remainder when a(9) is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prpp when four letters picked without replacement from sprrrrsrrrrrssppprs.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 1468. Suppose 4*k + 2*x - v = 249, -3*k + 5*x + 475 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356 or 355?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8942 + -15248. Round q to the nearest 100.\nAnswer: -24200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1. Let a = -3 - -4. Let j(v) = -v - 6 + 19 + 2 - 8. Give a*j(b) + 4*z(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-175)\/(-75))\/(21\/(-9)). Let j(q) = -q + 1. Let f(i) = 2*i - 5. Give t*f(k) - j(k).\nAnswer: -k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 386\/(-193) + (-10)\/(-8). Which is the nearest to 0? (a) h (b) -27 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Let u be -2 + 8*(3\/15 + 0). Which is the third smallest value? (a) -0.2 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159 (base 16) to base 9.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (19 - (9 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 374 + 350. Solve p = -z, 2*z = u - 8 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2760124 is divided by 125460.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5095, 1, -3 in decreasing order.\nAnswer: 1, -3, -5095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 66. Let v be (1 + -4)*434000\/z. What is v rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220 times -0.2?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 15*w**2 - 42*w - 20. Let n be m(11). Factor 22*g**n + 2*g**2 + 4*g**3 - 20 - 4*g**2 - 4*g.\nAnswer: 4*(g - 1)*(g + 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/(-80) - (-76)\/16. Let s be ((-86)\/(-903))\/((-1)\/3). Which is the smallest value? (a) 117 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlslrfcr. Give prob of sequence cf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8179 + 8179.2. Sort o, 0, 9\/4, -24 in ascending order.\nAnswer: -24, 0, o, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(308)\/(sqrt(28)\/(sqrt(8)\/sqrt(2))) + (sqrt(11) + sqrt(121)\/(sqrt(11)*4) + ((sqrt(55)\/sqrt(5) - sqrt(11))*4 - sqrt(11)))**2.\nAnswer: 11\/16 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(0 + 0 - u) - 21*u - 19 + 19.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221320 + -3?\nAnswer: -221323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvvg when four letters picked without replacement from {v: 5, g: 5, o: 8}.\nAnswer: 5\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/48 and -65\/1656.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 10:17 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/22599 and -76\/130851?\nAnswer: 10598931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 5. Let k be q(-3). Suppose -2*s - 2*m = -6*s - 10, s + 15 = 3*m. Let r be -3 + s + 6 + 0. Solve 0 = 5*b + 6*y - r*y + k, 8 = -b + 2*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315314.\nAnswer: 2, 37, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 2*h - 3. Let p be v(-2). Let j = 16 + -11. Let w(d) = -d**2 - 4*d + 30. Let o be w(4). Put j, p, -1, o in decreasing order.\nAnswer: j, -1, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*z + 31*z - 16. Let m = 1847 + -5485\/3. Solve 38\/3*q**3 - m*q + 4*q**2 - 16\/3 - 14\/3*q**z = 0 for q.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42956?\nAnswer: 2, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -68.\nAnswer: -68, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 3, m: 3}. Give prob of picking 2 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-10) + 2104*660\/400 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (1 + 2)) + -4. Let a = u + 8. Let g(r) = 2*r**2 + 2*r. Let b(o) = o**3 + 11*o**2 + 11*o. Give a*b(q) - 11*g(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/8)\/(3\/2). Let q = 1.9 - -1.1. What is the second biggest value in 2\/5, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16168 (base 14) to base 6\nAnswer: -1103224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d4cc7 (base 14) in base 6?\nAnswer: -54014235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3999*s + 8012*s - 9167 = 4102*s for s.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.71332ml to litres.\nAnswer: 0.00471332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -154*a**3 + 22487*a**2 - 150280*a + 2919.\nAnswer: -(a - 139)*(a - 7)*(154*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5 = 0, -x + 22*b = 29*b - 3*b - 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.266 + -0.034. Let t = l + 4.3. Which is smaller: 2\/5 or t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-11) + 980\/(-55). Let w = f + 22. Suppose n - 5*n + 43 = -5*l, -w*n + 88 = 4*l. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.157 * 0.3\nAnswer: 0.0471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1577 + 0.1377. Is z at most 272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*d - 804 = -225*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 352751, 0, -5, 44 in descending order.\nAnswer: 352751, 44, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68693235617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000323324222 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-329)\/98*2 - -6. Suppose -5*t + 0*t = 15. Let g be 1*4\/(-6)*t. Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*n**3*x - 153*n**3 + 673*x wrt n?\nAnswer: 90*n**2*x - 459*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 - 412. Let x = s - -306. Let q be 2\/4*(0 - 4). What is the closest to q in 0, 2\/23, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 31*w**2 + w. Let i be m(-1). Calculate the greatest common factor of 75 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/45 - 0)*(-175)\/28*4\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -19.1, -10, 2\/619, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 26, 1090425.\nAnswer: -2, 26, 1090425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 8*k - 12. Let b = 12 + -17. Let x be r(b). Solve -n = x*d - 7, d + 2 = n + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1274440*j**2 - 981079*j wrt j?\nAnswer: -2548880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.581439789 to 5 dps.\nAnswer: 1.58144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 7*z + 8. Let x be g(-6). Differentiate -11 + 5 - k**2 + 8*k**x with respect to k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 360*s**5 + 238*s**5 - 1084*s**5 - 2*s + s**5 + 2*s + 0*s**3 + 0*s**3 + s**5 + (s + s + 0*s)*(2*s**4 - 2*s**4 + 2*s**4) - s**5 + s**5 + 2*s**5.\nAnswer: -478*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/8)*q*q**(3\/5))\/(q\/q**(-2))**(-11))\/(((q**1\/q)\/q)**(2\/155)\/(q**(-2))**(-2\/65)) assuming q is positive.\nAnswer: q**(556937\/16120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3511 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15729 from -1.\nAnswer: 15728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) 18529\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 35. Suppose -1944 = -c*p + 11*p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - g = g + 150, -205 = -3*m - g. Let u = m - 42. Let i = u + -10. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 60, 0.1, -11, 1\/2, -61\/7, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*j + y - 4*y, -2*y + 1 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 4688997?\nAnswer: 1406699.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + 1 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.96 - -0.04. Let b = 0.5 + 0.2. Let r = -0.6 + b. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(144)\/(sqrt(12) + sqrt(48))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - ((-253)\/44)\/(1\/4). Let r = 34 + g. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((98343\/446)\/(-49))\/(6\/5).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 340799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c*c**(2\/11))\/c*c)\/((c*(c*c*c**(-1))\/c)\/c))\/(c**4*(c*c*c\/(c\/(c\/(c*c*c\/c**10))*c))\/c))**(1\/8) assuming c is positive.\nAnswer: c**(-27\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, 184, -1, 2, 0, 1\/4, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6077*-1127\nAnswer: -6848779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w. Let u(i) = -i**2 - i - 1. Let l(m) be the first derivative of 10*m**3 + 20*m**2 + 40*m - 7. Let q(p) = -l(p) - 40*u(p). Determine q(b(x)).\nAnswer: 90*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**4\/24 - 999*u**2. Let s(k) = 87*k + 1. Determine h(s(n)).\nAnswer: 87*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Suppose 12 = -0*t - t. Let b = t - -8. What is the third biggest value in 2\/21, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1*j*j**9*(j\/j**(-2))**(-18)*(j**(-9)*j*j**(5\/6))\/(j\/(j**(1\/2)*j))**(5\/8) assuming j is positive.\nAnswer: j**(-2393\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 8. Let v = -5 - n. Sort -2, v, 2\/7 in ascending order.\nAnswer: -2, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0641014 rounded to three dps?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2458 (base 9) to base 6\nAnswer: -12255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**4\/5 + 376*a**3\/5 + 9892*a**2\/5 + 49632*a\/5 + 69696\/5 = 0.\nAnswer: -44, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) -56 (b) 1\/844 (c) -2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 59*a - 12. Let f(t) = -30*t + 6. Let k(o) = 5*f(o) + 2*y(o). Is k(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -73428 divided by -116?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*c**3 - 341 wrt c.\nAnswer: 210*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/7 - 26610*p**4\/7 - 212594*p**3\/7 + 2100786*p**2\/7 - 265940*p = 0.\nAnswer: -13297, -14, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdg when three letters picked without replacement from fddffmdmgi.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/1044?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohhhmhcmmmmmmmm. What is prob of sequence ooho?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 6. Suppose 0 = 4*i - 5*t - 1, 3*i + 0*i - 2*t + 8 = 0. Let l(o) = 6. Suppose 51*j + 168 = -38*j + 117*j. Determine i*y(g) + j*l(g).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*r - 125, 48*r = -4*g - 1014 - 186 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(2\/7)*a*a**5\/a*a**(2\/13)*a\/(a*a*(a*a*a**(-1\/6)\/a*a*a)\/a*a) assuming a is positive.\nAnswer: a**(1111\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -o + 14. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(4\/(-5)))\/((-440)\/(-264)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1479122 (base 10) to base 16\nAnswer: 1691d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -35*y + 362, -13*f = 2*y - 15*f - 28 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76312 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 + 0 + 0. Suppose 0 = -2*b - a + 13, -a + 1 = 5*b - 24. Let c(x) = 4*x**2 - 2*x**2 - b*x**2. Determine c(k(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 12 + 300 = 0. Let g(v) = -v**3 - 27*v**2 - 26*v + 38. What is the remainder when 70 is divided by g(c)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8\/3 (b) 2\/7 (c) -1 (d) -4\/661 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.088269 kilograms in micrograms?\nAnswer: 8088269000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 3497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 5, -10, -29, -52?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172134, 172131, 172128, 172125, 172122, 172119?\nAnswer: 172116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -348425\/234 - -1489. Let r = 26354 + -26355. Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**3)**(-30)\/(l**(1\/12)\/l**(-17)) assuming l is positive.\nAnswer: l**(-1645\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.742 - -6.796. Let l = 0.3361 - 0.3901. Let p = l + s. Which is the second biggest value? (a) 0.4 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5611672?\nAnswer: 2, 11, 43, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2. Let y be 13*((-938)\/(-182) + -5). Let m(p) be the third derivative of 0 - 7\/30*p**5 + 0*p**4 + 0*p + 0*p**3 + 5*p**y. What is m(c(z))?\nAnswer: -126*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 11*u**3 - 3*u**2 + 12*u + 1. Is x(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218990.7 rounded to the nearest 100?\nAnswer: 219000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - -131. What is the tens digit of ((-1650)\/s - 0)*15\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {m: 3, e: 1, v: 3, x: 5, w: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2447312 divided by -8\nAnswer: 305914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = -l. Let z be -1*(l + (-6)\/(-20))*-4. Factor -z*w**2 + 3\/5*w**3 + 3\/5*w**4 + 0*w + 0.\nAnswer: 3*w**2*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 7 - 3*n - 5)*(-41*n**2 + 18*n**2 - 35*n**2) to the form d + u*n**2 + o*n + h*n**3 and give h.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) + 38\/399. Are -1 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 80 = -40*d. Let q be (-16)\/d + -7 + 4\/1. Solve -q = -31*r + 30*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -437616 and -437546 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 12 = 4*r - 2*n, -20 = -4*r - n. Suppose 19 + 1 = -r*s. Let x(u) = -u - 5. Calculate x(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 13*t + 10. Let p be (-12)\/(-9)*(-2 - 5\/(-10)). Let g(d) = -4*d**2 - 42*d + 31. Let s(v) = p*g(v) + 7*r(v). What is s(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14, -1, -2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 69 - 6. Suppose 16 - w = t. Suppose 51 - t = 4*b. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 75612, 302427, 680452, 1209687?\n\"Answer: 75605*l**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-105)*4\/(-3).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4343664 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (10 + -1)\/(-3). Suppose t*c - 765 = -3*c. Suppose -5*d + b - 4*b = -c, -2*b - 107 = -3*d. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 8. Let o(l) = -l**2 - 4*l + 4. Let v be o(-4). Let m = 8 - v. Let r be m\/(-10) - 6\/(-15). Determine a(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, n: 3, m: 3, x: 2, k: 2, u: 1}. Give prob of picking 3 n.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c - 2*c + (-3*c - 6*c - 1 + 4*c)*(-15 + 15 - 41).\nAnswer: 203*c + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*g = 97*g + 93*g - 77 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (57\/(-19))\/(3\/(-47))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) -0.2 (b) -1\/4 (c) -1\/8 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a gram in milligrams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7658917\/394 - -38877\/2. Let g = -9511\/9062 - f. Find the common denominator of g and 1\/11*(-228)\/8.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 84.46052\nAnswer: -8.446052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -11*b**3 + b**2 + b. Let m be c(-1). Let x be (-4)\/(-1)*5\/20. Calculate the greatest common divisor of x and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 43 - (-54)\/(48\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1977\/100 and -20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 249487 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-6) + (-77)\/390. Suppose r - 9*d = -5*d + 8, 4*r - d - 2 = 0. Which is bigger: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 9757 = -4*y, 2*y + y + 5*u - 7296 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595255 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3))\/(4210\/(-5052) + (-22)\/(-24)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y**2 - 13*y + 2. Give c(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j. Suppose -h + j + 15 = 0. Let m be ((-6)\/h)\/((-2)\/20). Solve m = 4*n - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*(6*b + 2*b - b) + b - b - 2*b + 3*b + 4*b - 5*b + (5 - 1 - 5)*(-2 - 2*b + 2) + 4*b - b - 4*b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g**3\/2 + 349*g**2\/2 + 132*g - 38 = 0.\nAnswer: -38, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 24*x**2 + 38*x + 1. Let f = 207 + -198. Is r(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 17 - 17)*(-8*y + 3*y + y + (-5 + 1 + 2)*(-y - 2*y + 4*y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p*p**4))*p))**(-6\/19)*(p**(1\/5)\/p)**(-3\/4) assuming p is positive.\nAnswer: p**(207\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 68.839 and -145.\nAnswer: -76.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16917, 33892, 50867?\n\"Answer: 16975*t - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -378*g. Let l(k) = 3*k**2. Calculate j(l(u)).\nAnswer: -1134*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2697 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 -16 + 6 + 12 + -7 - -35 - -1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 y when four letters picked without replacement from {d: 3, y: 3, i: 7, s: 1}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -92\/7. Let c = -0.0547 + 0.0547. Put c, 4, i in decreasing order.\nAnswer: 4, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 24, 3, -1 in increasing order.\nAnswer: -1, 0.5, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/210 - 2*l**4\/21 + 16*l**3\/21 - 9*l**2. Determine t, given that i(t) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k - 31 + 298*k - 16*k - 276*k.\nAnswer: -4*k - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Suppose -v = -h + 2. Calculate the least common multiple of 11 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15273944, 15273937, 15273930, 15273923?\n\"Answer: -7*k + 15273951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*i + 32 + 201 + 227 = 0. Factor 1\/5*o**i + 324\/5 - 36\/5*o.\nAnswer: (o - 18)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 1 - (11 - (8 - -15))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1251*y**2 - 11262*y - 17. Determine o(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 30*f**3 + 28*f**3 + (-3*f**3 + 5*f**3 - 3*f**3)*(8 + 0 - 6))*(-2*f - 6 - 3*f + 4*f).\nAnswer: -55*f**4 - 330*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 28 = -72. Let a = h + 3. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8010 + 7990 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p - 9. Let k(d) = d + 11. Let a be k(p). Let v(n) = n - 1. What is the remainder when 2 is divided by v(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31990660?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45\/2 of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-60)\/9 + 6)*6\/(-16). Suppose w + 1 + 4 = 0. Which is the third biggest value? (a) -4 (b) -3 (c) w (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -31. Suppose 5*n = k*u - 4 - 2, -4*u + 8 = -4*n. Solve -m**3 - m**2 + 2*m**3 + 4 + 3*m**2 - 5*m**u = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9135 and 1740?\nAnswer: 36540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -1 + 2233 + -2283.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3538526 is divided by 104?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2661 (base 8) to base 2\nAnswer: -10110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 l when three letters picked without replacement from {w: 1, t: 3, l: 2, k: 1, o: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 173 + 153 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.9 + 10. Let z = 123 + -123.3. Let f = 0.1 + -0.1. Which is the closest to f? (a) -4 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 14.48.\nAnswer: 115.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 89 = -217. Calculate the remainder when f is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*j + 2 = 0, 18*j - 15*j = -7*l + 17. Solve -3*f - 2*f = -u - 24, -2*u + 27 = l*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -153, -334, -503, -654, -781?\n\"Answer: t**3 - 188*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 5*y**2 - 4*y + 7. Let q be v(-6). Let n = 9 + q. Suppose 0*j = n*j - 52. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 47980.\nAnswer: 47980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 4*b + 57, 0*b - 2*b = -4. Suppose -48 = 3*m + 18. Let u = m - -46. Calculate the remainder when u is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuuu. What is prob of sequence uuy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1148 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*k + 157. Let o be (48\/32)\/(2 + 13\/k). Which is the closest to 0? (a) 5\/12 (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31*92\/(-9982)*(-14)\/(-16)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 16*i**3 + 7*i**3.\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 193, 358, 501, 616, 697, 738, 733?\n\"Answer: -v**3 - 5*v**2 + 187*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -4 + 2 - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3307862?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000914715 to 6 dps.\nAnswer: 0.000915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**3 + q**2 - 3*q - 1. Let t(a) = -2 + 0*a**2 - 4 + 7*a - 4 - 13*a**3 - 3*a**2 + 12. Calculate 3*t(z) + 7*w(z).\nAnswer: 10*z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - 0) + 2 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1798 - 39547\/22. Let r = m + 1\/11. Let p = -5\/2 + 19\/6. Sort r, 4, p.\nAnswer: r, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*f**3 + 19 - 5 - 3 - 9.\nAnswer: 38*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/21 - (-63069)\/(-9086). Let z be (-1 - 128\/(-118))*19. Let c = z + g. Find the common denominator of c and 41\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -115556 greater than or equal to 1\/5805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1296 and 1296.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {r: 5, c: 6, h: 6, y: 1}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6918 + 808.\nAnswer: -6110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**9\/(o*o\/((o*o**(21\/4))\/o)) assuming o is positive.\nAnswer: o**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 6*y**2 - y - 58. What is b(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 56221*p. Let m(t) = -5*t**2. Calculate y(m(b)).\nAnswer: -281105*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**2\/2 + 14*q + 1. Suppose 0*o = 2*o. Calculate the remainder when 41 is divided by n(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18052966 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*w = 0, 4*w - 45 = 3*c - 8*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170617 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:15 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -5 - -10)*(-4)\/(-12). Let d(h) be the first derivative of -1\/5*h**5 + 3\/4*h**4 - 2\/3*h**3 + 0*h**w - 5 + 0*h. Factor d(t).\nAnswer: -t**2*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-35) - 2*-2*(-300)\/(-2240)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v. Let z(u) = -74535301*u**2. What is m(z(s))?\nAnswer: -149070602*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -99.01515 + 5\nAnswer: -94.01515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15451606 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4099 (base 14) to base 3.\nAnswer: -120020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-42)*(-14)\/(-3)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2976*f - 123672 - 72744 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - (4 - -5))\/(-3). Suppose -40 = -s*b - 35. What is the nearest to b in -5, 2\/13, -1, -2\/25?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-132)*(-3)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a day in minutes?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/(-14)*(0 + -2). Suppose -2*n + 141 = -3. Suppose 0 = -9*c + k*c + n. Solve -s + 9 = 5*t + 32, 2*s = -3*t - c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43138 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313330512 divided by -28484592.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37297357.6 rounded to the nearest 1000?\nAnswer: 37297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7719564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j + 58. Suppose -2*y - 5*b = 63, 4*b = 3*y + 54 + 6. Calculate the remainder when j is divided by -6*1\/(9\/y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 2 + -4 + 23. Let y = 31 - p. Put -2, y, 0 in descending order.\nAnswer: y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*h - 39 + 133. What is the nearest to -2\/9 in h, -4, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 161b22?\nAnswer: -161b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*i - 8, -2*c - 3 = c. Suppose 2*v - 3*v - 5*a = -7, a = -v + i. Suppose -10*s = -v*s - 200. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58499.\nAnswer: 7, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h - 11*h - 6*h.\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + -23. Let c = k + 61.27. Let q = c + -0.269954. What is q rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 12 - 18 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134419 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**3 + 2*o + 1. Let w be c(-1). Suppose -v + w*v + 4*u - 13 = 0, -3*v + 23 = -u. Solve -v*b + 12 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6\/7 (b) -25.59 (c) 9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) 0.142 (c) 103 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 142. Calculate v(17).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/7, -3, 310, 4\/5, -40, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1. Let u(k) = 2*k**3 - 2*k**2 - 2. Suppose -2*q - t - 9 = 0, -13 = 5*q + 4*t + 11. What is q*a(z) + u(z)?\nAnswer: 2*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = -5*x, m - 7 = 5*x - 6. Suppose j - 2*i + 28 = 0, x = -0*i - i + 5. Is 4\/j + 24279\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 36*f**2. Let v(l) = 4*l**2 + 8*l**2 - 18*l**2 + 10*l**2. Determine v(h(z)).\nAnswer: 5184*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 9 + -4 - -5. Let m(l) = 728*l + f - 729*l - 1. Determine m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -67*o - 864. Calculate q(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 771363\/9062516 - 3\/46714. Calculate the common denominator of 71\/10 and p.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494483*d + 494468*d + 123 - 123.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5. Let v = r - -3. Let h(f) = -10*f**3 - 8*f**2 - 8*f - 8. Let p(k) = -10*k**3 - k**2 - 2 - k + 1 + 9*k**3. Give v*h(t) - 8*p(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - o**2 + 2*o**2)*(-297*o - 242*o - 186*o)*(-2 + 2 + o).\nAnswer: -725*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 424, 867, 1348, 1879, 2472?\nAnswer: 3139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfif when four letters picked without replacement from {i: 1, a: 2, f: 2, c: 1, r: 8}?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - j**2 + 1. Let k(t) = 9*t**3 - 5*t**2 - t + 4. Give 2*k(y) - 10*z(y).\nAnswer: 8*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5345702.\nAnswer: 2, 31, 151, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45490?\nAnswer: 2, 5, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6432, -52303, -177070, -420183, -821092, -1419247, -2254098, -3365095?\nAnswer: -4791688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 0) + 21 + (9 - 22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 87*a**2 - 153*a + 327. What is the units digit of s(89)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 0*w - 9*w + 11 + 84*w**2 - 85*w**2. Suppose 5*a = -0*o + 4*o + 36, 0 = 5*o - 2*a + 45. What is the tens digit of u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -64?\nAnswer: 9\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15773 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99304?\nAnswer: 2, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3116, -4, 5, -10 in decreasing order.\nAnswer: 5, -4, -10, -3116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -66\/2737 and -20\/21650061.\nAnswer: 151550427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 27. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -29 (c) 4546\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.2, 718, -0.1 in decreasing order.\nAnswer: 718, 0.2, -0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 870\nAnswer: -878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n - 31 = 15. Let t be 84879\/72 + -6 - n\/8. What is the highest common divisor of 23 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-228)\/133)\/(2\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a031 - 3?\nAnswer: a029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518655296.\nAnswer: 2, 31, 197, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and (-1 + 0)*-2 + 12?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 129.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -16.\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s + 2. Let k be x(5). Let y = k - 8. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*s + 34, 3*s + 15 = 3*h - 9. Solve 0 = 3*b + 3*z + 27, -5*b = -h*b + 5*z + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llrogmgglmglolq. What is prob of picking 1 o and 2 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 - -133. Let c be 4\/(-6) - 32\/(-84). What is the third smallest value in -2\/9, c, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/6)\/((-8)\/(-204)). Let x = -161 - f. Let r be x*((-20000)\/(-12))\/5. What is r rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(17 + (-3471)\/195).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**2 + 2*z**3 + 19 + 3*z**2 + 12*z - z**3 - 3*z**2 - 15. Determine x(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772758 to the power of 1\/2, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 - 9*o - 15*o + 24*o.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 359749, 1439017, 3237805, 5756113, 8993941?\n\"Answer: 359760*o**2 - 12*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29466\/7 + 4210. What is the nearest to 2\/7 in -0.8, p, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2)\/((-24)\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-7) + 1)\/((-2)\/7). What is the closest to -1 in -0.2, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 6*k + 8. Let p be b(-4). Let j be 4 + (-2)\/4*p. Suppose -20 = j*z - 8*z. Solve 0 = -z*i - 4 + 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1677 and 1806?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*q + 175, 5*q - 56 = -4*v + 71. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 88 = 5*b. Suppose -2*r + 6*s + b = 2*s, 3*r = 4*s + 27. Find the third derivative of 7*y**2 - r*y**5 - 3*y**2 + 65 - 65 wrt y.\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 - x**2 - 3. Is 28 a factor of k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10044 and 32?\nAnswer: 80352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1010*s - 28*s**3 + 5 - 2*s**5 + 18*s**3 - 50*s**3 - 4*s**2 - 8*s**6 + 984*s wrt s?\nAnswer: -960*s**3 - 120*s**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136545\/4 - -34136. Which is the fourth biggest value? (a) -2\/11 (b) -0.03 (c) i (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -10 - (-19 - (-11 - (24 + 9))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) 1\/8 (c) -0.1606 (d) 0 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(272) - -3*(sqrt(272) + 1)) + sqrt(272)*1 + 2 + -1 + -2)**2.\nAnswer: 80*sqrt(17) + 6805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/126*(-91)\/130. Which is greater: -1\/45 or y?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.3 - -48.29999771. Round u to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3365\/4, -1\/2, -3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/191 - 29233\/382. Let i = w - -78. Which is greater: 0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6711557*r - 76 = -6711576*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 0)*15\/(-1260)*624.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooreztm. What is prob of sequence ero?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 46 = -4*p, 0*l - 5*p = -2*l - 8. Suppose -2*k + l*k = 0. Suppose k*i + 9 = 3*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/((sqrt(3)*3 - sqrt(3))*-1).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 22 = -15*l. What is the third derivative of 3*q**l - 19*q**3 + 34*q + 3*q**2 - 16*q**3 - 4*q**2 wrt q?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7385 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s = -782 + 659 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.33723 or 34\/11?\nAnswer: 0.33723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 + -0.07. Let x = 184829 + -184828. What is the closest to x in 2, -2.4, -5, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 2 + sqrt(80) + sqrt(40)\/(sqrt(8) + sqrt(32)\/sqrt(4)))**2 - (1*sqrt(50)*-5)\/sqrt(10).\nAnswer: 27*sqrt(5) + 621\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 - 3*w**3 - 4*w**3)*(-1 + 3*w + 1).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588, 1169, 1750, 2331?\nAnswer: 2912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 14*y + 2*y**2 - 20 - 2*y - 44*y - 3*y**2. What is the tens digit of f(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Let x be 6\/(((-15)\/y)\/(-5)). Suppose 0 = x*q - 118 + 6. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/6 - 22*f - 2. Factor a(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*x - 217. What are the prime factors of (-13 - -12)\/(1\/x)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14824.61671 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6433324465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31779947?\nAnswer: 163, 241, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2189929 or -2189934?\nAnswer: -2189929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1)\/(8\/(-8)). Let s(n) = n. Let p(l) = -2*l**3. Give y*s(v) + p(v).\nAnswer: -2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-32)\/2 - -2. Suppose -43*t = -40*t - 648. Does 13 divide (-27)\/63 - t\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 1:01 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90\/193 + -244\/1351. Factor -p*g**2 - 6\/7 + 8\/7*g.\nAnswer: -2*(g - 3)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.1, 307817?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 10*v**2 - 7*v + 10. Calculate a(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.7125 take away -7.3592?\nAnswer: 490.0717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -1?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 6*r**2 - 4*r - 5. Let g be m(5). Let w be 1 - (3 - 3) - 0. Let h = 3 - w. Solve 0 = h*y - s - 4, g = 3*s - 2 - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5534.7874 - -1.2126. Let z = u - 5535.94579. What is z rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:34 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/34 (b) -2\/17 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -491, 4 in descending order.\nAnswer: 21, 4, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10234 (base 6) in base 14?\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - -1*2\/(-6). Is 3 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*y + 46. Let u(q) = -5*q - 1. Let x be u(-1). Suppose 5*s + x*l - 8 = 0, -s - 6 = 2*l - 4. Calculate the smallest common multiple of y and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6969288613 from -117.\nAnswer: 6969288496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 661 divide 6400463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -17 + (24 - 88\/8) + (-21)\/(-5). What is the nearest to -1.2 in -2\/5, 0, -0.6, r?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/35? (a) -183 (b) -0.1 (c) -3 (d) 7 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w - 5. Let m = -6714 + 6708. Give y(m).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45 + -1 - ((-4 - -9) + -2). Let o be (-1 - -1)\/(-43 + c). What is the third smallest value in -0.09, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 6 = 0. Let c = k - 6. What is the units digit of (9 - (c + -2)) + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 4 = -s + 2*x, -s - 17 = 4*x. Suppose -8 - 2 = -5*d. Let h be (d\/(-4))\/((-12)\/40). Which is the closest to 1? (a) -4 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 54, 14.4, -4, -1.5 in descending order.\nAnswer: 54, 14.4, -1.5, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -632 * 5576\nAnswer: -3524032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2999 - 2740313974*y**2 - 2999 + 2740313974*y**2 + y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1. Let v(o) = 14*o + 14. Let f(r) = 2*h(r) + v(r). Differentiate f(t) with respect to t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -581, -2265, -5069, -8993, -14037?\n\"Answer: -560*z**2 - 4*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 956572285\nAnswer: -956572256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*m + 3. Is m\/5 - 6448\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -275, -266, -255, -242, -227?\n\"Answer: w**2 + 6*w - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -48559, -48586, -48615, -48646, -48679?\n\"Answer: -x**2 - 24*x - 48534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66243 (base 8) in base 13?\nAnswer: c874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/sqrt(176) + sqrt(21) - sqrt(756)*-1)\/((-1*sqrt(70)*2)\/sqrt(10)).\nAnswer: -29*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from kkkkkkkekkvkkskkktv?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/8349 and 37\/55?\nAnswer: 41745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x - 80. Let c = -1860 - -1860.1. Is c not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8845 * 5\nAnswer: 4.4225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 - 10 - 3 + 31 + 3*i + 2*i**2 - 6 + 13 as y + v*i + u*i**3 + g*i**2 and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 12) in base 3?\nAnswer: 102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from aamhafaf.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -283.1265 rounded to one decimal place?\nAnswer: -283.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9475 + 9480. What is the second biggest value in -2, -0.3, 1, o, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 2*z - 2*z)*(-z**2 + 2*z - 2*z) + 3*z**3 - 1 + 1 + (4 + z - 4)*(3*z**2 - 4*z**2 - z**2) to the form i*z**3 + k + f*z**2 + h*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 - 113. Suppose -17 = 5*b + 3*t, 0 = 3*b - k*b + 5*t + 17. Which is smaller: b or -1\/82?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + (sqrt(637) - (-3*(sqrt(637) + -4) - sqrt(637))) - sqrt(637) - sqrt(637)) + -2)**2.\nAnswer: -784*sqrt(13) + 10388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*h + 50, -h - 4*i - 5 = -i. Let q = 12 - h. Let b(k) = 21*k - 3. Is b(q) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7552 and 4236672.\nAnswer: 4236672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8969318 is divided by 4830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 212*o + 1086. What is s(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*k**2 - 9*k*w**2 + 5*k*w + 5*w**2 + 976*w - 2 wrt k?\nAnswer: -94*k - 9*w**2 + 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*s = 12, -5*s - 11 = -4*j + 1. Let q(h) = h**2 - 5*h**2 + 2*h + 2*h + 1 - 5*h. What is q(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 21*y**2 - 6*y - 3. Let s(m) = -336*m**2 + 98*m + 49. Let k(a) = -49*i(a) - 3*s(a). Let h(w) = -7*w**2. What is k(h(u))?\nAnswer: -1029*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2687522176 by 2.\nAnswer: -1343761088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -2089, -4588, -8077, -12562, -18049, -24544?\nAnswer: -32053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 7. Let d(l) = -209*l - 292*l - 235*l + 766*l. Give a(d(b)).\nAnswer: -90*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 200\/15*(-2)\/((-64)\/12)*-4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**6\/30 + 3*a**5\/20 - a**4\/6 + 2*a. Suppose x(h) = 0. Calculate h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*r + 38*r - 13. Let x = -11 + r. Let q be x\/(-5 + (1 - -2)). What is the nearest to 4 in 1\/4, q, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (8 + 3 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 1368?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 10:36 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -1\/60*i**5 + 40*i**2 + 0 + 0*i + 1\/24*i**4 - 1\/120*i**6 + 1\/6*i**3. Factor y(l).\nAnswer: -(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -13. What is the remainder when 61 is divided by -62*(-1)\/2 + p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(6*3))\/(6\/(-24)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(162) + (1*sqrt(162) + sqrt(162))**2) - ((sqrt(2)*2)**2 + 4).\nAnswer: -660 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.21109m?\nAnswer: 211090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 0*y + (-5 + 1 + 0)*(32*y + 179 - 179))*(6*y - 2*y - 2*y).\nAnswer: -260*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276*j**4 - 32*j**3 + 295*j**2 - 239.\nAnswer: -6624*j - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -612? (a) 9291 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2 (c) -3\/5575 (d) -6 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4535, 9059, 13583, 18107, 22631, 27155?\nAnswer: 31679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*q + 107*q - 322 = 0. Calculate the remainder when q is divided by ((-16)\/(-10))\/((-2)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7805449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-33)\/9 - -4). Differentiate g**i - 20 + 12 + 19*g**2 + 2*g**4 - g**3 with respect to g.\nAnswer: 8*g**3 + 38*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1466908*g**3*l**3 - 2*g**3*l**2 - 7*g**2*l**2 + 63*g**2 + 2*l**3 - 4*l**2 + 34 wrt g.\nAnswer: 8801448*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208400\/(-120)*(-24)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 0.26, 0.01, 0.15.\nAnswer: -36, 0.01, 0.15, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 - -5 - (-1 + 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 5*b**2 + b. Let j(t) = -t**3 + t**2. Let l(k) = -3*j(k) - w(k). Let i(c) = 3*c**3 + 7*c**2 - 3*c - 1. Calculate -2*i(z) + 7*l(z).\nAnswer: z**3 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**4 - 544*l - 1209.\nAnswer: 4*l**3 - 544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 873*c**5 - c**3*w - 2*c*w + 575*c - w + 1 wrt c.\nAnswer: 17460*c**3 - 6*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1315*x**2 + 38*x + 656*x**2 + 661*x**2 - 3 as f*x**2 + h + p*x and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*k + 2*j, k + 2*j = -0*j + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643139 divided by -182571?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 14. Let s be -14 - r*(-2 - -1). Let i(q) = q**3 + 11*q**2 - q - 10. Let n be i(s). Is 4\/5 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241500 divided by -6.\nAnswer: 40250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30034, -30039, -30044, -30049, -30054?\n\"Answer: -5*l - 30029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -26*y + 3168. Calculate the least common multiple of 20 and y.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.282 and -4?\nAnswer: 29.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/106 in -0.3, -2, 2\/25, 5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00864738 rounded to five decimal places?\nAnswer: -0.00865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 10:15 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let t(x) = x - 4. Let i = 102 - 62. Let b be ((-48)\/i)\/(2\/(-5)). Let d(q) = b*y(q) - t(q). Let f(r) = 2*r + 5. What is 6*d(w) - 5*f(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -47. Let w = u - -38.53. Let z = 0.07 + w. Which is the third smallest value? (a) z (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14509692910 rounded to the nearest 1000000?\nAnswer: 14510000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 38*c - 51. Give t(3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3802421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-69)\/5*(-1)\/3 and ((-58)\/45)\/((-22)\/55).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 80 = -2*q. Let u = q - -235\/3. Let d be 1254\/(-1815) - (-2 + (-21)\/(-11)). What is the closest to 0.1 in 0.3, u, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 + -4 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 16868\/1363 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 17. Let m = n + -11. Suppose m*j = -2*j + 26. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*h - 22 = -6*y, 2*y - 3*h + 13 = 0. Let s(c) = 2*c - 2. Let a(o) = -11*o + 9. Let m(g) = a(g) + 4*s(g). Calculate m(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -7*v + 11*v + 48, -2*v = -d + 38 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2728\/4092*(-153)\/(-2)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 + -59. Factor -2*r**2 - 5 + 17 - 54*r + a*r.\nAnswer: -2*(r - 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -25*p. Let q(r) = 377*r. Let i(d) = 6*q(d) + 91*u(d). Let j(w) = w. Let f(z) = -z. Let c(l) = 5*f(l) + 6*j(l). Determine c(i(g)).\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m + 15*m + v - 1442, m - 484 = -2*v. Calculate the remainder when m is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -15.218?\nAnswer: 15.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, r: 7, u: 2, m: 3, c: 1, f: 1}. What is prob of picking 1 c and 1 p?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((156\/(-24))\/13)\/(((14 + -30)\/3776)\/1)\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by 6?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*w + 304, -6 = 3*w - 5*w. Suppose -284*y + p*y = 30. Let d(l) = l**3 - 6*l**2 - 1. Determine d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-9)*(-15)\/(-10). Let r be (-11)\/(2\/(-4)*2). Calculate the greatest common divisor of r and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477600, -477611, -477626, -477645, -477668?\nAnswer: -477695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 207679403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v + 496. Calculate the highest common divisor of 93 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -4587.\nAnswer: -2\/4587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let w = v - -33. Suppose 0 = 2*p - 0*t - t - w, 95 = 5*p - 5*t. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2351120 (base 7) to base 6.\nAnswer: 10220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 3*r + 3*r)*(-3 - 1 + 16) + 5*r - 10 + 36 - 4*r as c + a*r and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4318 * -0.256\nAnswer: -1105.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 + -50. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {n: 5, x: 2, c: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(2 - (-19 + 0) - (0 - -1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10\/7, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6.194202 times -0.05\nAnswer: -0.3097101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -17743*v - 70976. What is p(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(208)*-4.\nAnswer: 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24472 - -39103. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + sqrt(1088)*3 - (sqrt(17) - 4*sqrt(17))**2*1.\nAnswer: -153 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(15\/2) - 29\/(-145).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 2) + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.16 - 1.317. Let x = -15.543 + c. What is x rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwyw when four letters picked without replacement from iywiwwwwwii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1, -3152, 5, -5.\nAnswer: -3152, -5, -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32824?\nAnswer: 2, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 662 - 664. Let i = 3 - 2.6. Which is the third biggest value? (a) 0.1 (b) g (c) -1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 487, 976, 1461, 1942?\n\"Answer: -2*c**2 + 495*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.092 - -4050.5.\nAnswer: 4050.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*q**2 + 9*q**2 + 16*q**2)*(-5 + 5 - 12) + 0*q**2 - 2*q**2 + 5*q**2.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ggccgcccgciiccgggg?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/35*(-28025)\/2242?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 82.76915+-71.4419\nAnswer: 11.32725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5 + 9 + (-84)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 975115.7 meters to centimeters.\nAnswer: 97511570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (15 + -19 + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 17. Let v = f - 31. Is v != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96214316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.64 + 15.89. What is the fourth biggest value in -0.8, 5, q, 1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -108? (a) 3\/5 (b) 2\/5 (c) 5 (d) -1.71754 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = -8*d + 384. Let t be ((-93)\/(-6))\/((-1)\/2). Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(2\/23)*p)\/(p**(1\/2)\/p) assuming p is positive.\nAnswer: p**(165\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + w**2 - 1. Let k be m(-1). Let z(f) = 2*f**2 - 3*f + 1. Calculate the lowest common multiple of 10 and z(k).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 476 = 3005*h - 3126*h, 0 = 2*c - 4*h - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2346)\/187 - 100\/220.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6*t = 3*t + 48, 0 = 4*i - 4*t - 96. Suppose -21*d + 9 = -i*d. Factor -3\/2*u**3 - 12 - d*u**2 - 18*u.\nAnswer: -3*(u + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(-2*l + 3*l - 2*l) + (0*l - l + 2*l)*(1 - 1 + 1)*(5 - 4 + 1) + 10*l - 2*l - l in the form b*l + p and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -26*w**3 - 187*w**2 + 9*w + 58. Determine u(-7).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**5\/390 + u**3\/39 - 5*u**2\/2 + 4. Let h(p) be the second derivative of m(p). Factor h(z).\nAnswer: -2*(z - 1)*(z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -47*g - 234. Let q be z(-5). What is the nearest to -0.4 in 4, q, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 7*q. Let k(t) = 9*t + 1 - 30*t - 36*t + q. Is k(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/27*18\/(-30)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*w + 1049 = 923, 90 = -3*x + 6*w for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*f + 5. Suppose -3*d + f = -5*d - 5*v, -69 = -4*d + 5*v. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 52452.\nAnswer: -1\/17484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14363999 is divided by 4394?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-184)\/368 - 399\/2. Sort 1, o, 2, 4 in increasing order.\nAnswer: o, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 3, r: 9}. Give prob of sequence ee.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663 and 21017559?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 3)*1*-1. Let c(i) = -2*i - 11. Let n be c(-3). Let x = r - n. Which is smaller: x or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/2*2\/(-5). Suppose 0 = 5*c - 25. Suppose u*y + 13 = c*i - 0, -5*y - i = -8. What is the remainder when 3 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(32\/130)*(-662)\/1655*8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 67.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/60 - s**4\/8 + s**3\/2 + s**2. Let b be a(-3). Let g = 8 + 12. Solve -15 = -3*j + b*d - 0*d, 4*j - g = d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.4 - -6.2. Let r = 4 - 1. Let i = -1\/13 - -15\/26. Put i, w, r in increasing order.\nAnswer: w, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(4\/14 - (-6)\/28). Suppose 4*h = -5*m - 34, q*h = -5*h + m - 28. Let n(y) = -2*y + 10. Let z be n(7). Is z smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -13012231312?\nAnswer: -13012231320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 23*n**2 - 64*n + 3. Give u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1015250350066 - 4.43\nAnswer: -4.3284749649934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 1)\/((-6)\/(-8)). Suppose -4*g = g - n - 67, -k*g - 3*n + 65 = 0. Let w = g - -2. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148545.6 - 5.\nAnswer: 148540.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*j - 56. Let b be ((-1)\/(-1))\/(j\/525). Suppose 0 = 4*r + b + 81. What is the second smallest value in 0.1, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 4*u - 20. Solve -2 + 3 = 4*n + u*a, 4*n - 31 = 5*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.2. Let p = -1832 - -1833. What is the closest to n in 1\/3, p, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6163000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 1. Let i(p) = 17*p + 5. Let k(m) = -i(m) + 4*q(m). Calculate k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104532343 + 2?\nAnswer: 104532345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27a128 (base 13) in base 3?\nAnswer: 1211000022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53510 is divided by 52912?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3222 = s. What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 236586 and 524?\nAnswer: 473172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*b = -11 - 1, -4*z - 31 = 3*b. Let p(m) = 3*m + 3 - 2*m + 0. Determine p(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047394 take away -104.7?\nAnswer: 104.652606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-33)*3\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18456 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 372820*j - 372824.\nAnswer: 4*(j - 93206)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 202?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -164, 4, -70 in descending order.\nAnswer: 4, -15, -70, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*h**4 + 46 - 46 + (h**2 + 0*h**2 + 0*h**2)*(-4*h**2 + 2*h**2 + 3*h**2).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86938.31g to milligrams.\nAnswer: 86938310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-6) + 15\/18. What is the nearest to 1 in -3\/2, v, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/77 + -401\/308. Let o = -1 - -1. Is i > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 63*a**3 - 15*a + 39*a**3 + 48 + 15*a.\nAnswer: 102*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 73, 107, 141, 175?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w = -t + 19, 3*w + 5*t - 7 = 0. Suppose -2*f = n + 16, -2*f = 2*f + 20. Which is the third biggest value? (a) w (b) -1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 11*j**2 + j**2 - 9*j**2.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 60 = -4*v. What is the greatest common divisor of v and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152 + -82. Let i be (-1082)\/(-14) + (-20)\/s. Let q be 22308\/i + 4\/14. Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 238*i + 7825. Determine o(43).\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, 5, 2, -25 in ascending order.\nAnswer: -25, -3, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1835497 divided by 113.\nAnswer: 1835497\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + -1 + (-14 - -28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 + z**2 - 7*z - 10. Let k be y(3). Let p = -42 - k. Calculate the lowest common multiple of 32 and p.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 79, 0, -0.1, -0.3?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-2014.\nAnswer: -8056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**3 - t**3 - 6596 - 11*t**3 - 3940.\nAnswer: -2*t**3 - 10536","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 17 - 13 = 0. Suppose -p - 3*p + 22 = 5*f, 0 = 2*p - t. Solve 0 = -5*l + 4*r - f, -5*l + r = -r + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80))**2*2.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 296 + 47. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.203 - -0.33. Let m = o + -1.127. Put -3\/5, 2, m in decreasing order.\nAnswer: 2, -3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 49*k - 718. What is m(-40)?\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 23?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6378.7409 to zero decimal places.\nAnswer: -6379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11 - 8*i**2 - 8*i + 80*i**2 + 2. Is a(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68225 is divided by 758.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.6 - 11.4. Let x = q + 50.4. Is x greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 21, 44, 87, 156, 257, 396?\n\"Answer: r**3 + r**2 - r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 80?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*p - 12, 2*k + 3*p = -2*k - 9. Let u(h) = h - 1. Determine u(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3)\/((-17)\/51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 2*m**2 - 16*m + 71. Suppose 3*o + 2*o = -4*y + 33, -4*y - 3*o + 31 = 0. Does 6 divide p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17258 - -428427. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 4*p + 14. Let y(x) = -2*x + 1. Let r(h) = 3*h - 2. Let f(a) = -3*r(a) - 5*y(a). Let q(z) = -6*f(z) + m(z). Determine q(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 42 = -9*g, 3*g + v = 1858686 - 1858688 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -15, -23, -35, -51, -71, -95?\n\"Answer: -2*w**2 + 2*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37637 + -22537. Round k to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/11)\/(d*(d\/(d**(2\/9)\/d))\/d))**(-1))**(5\/2) assuming d is positive.\nAnswer: d**(395\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 104 = -15*a. Let q be ((-6)\/10)\/(6\/4). Let g = -147 - -146.7. What is the closest to 0 in g, q, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 203*y**2 - 109*y + 22047. What is c(203)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44647107*i**3*y + 123306110*i**3 + i**2 with respect to y.\nAnswer: -44647107*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2 + (-4*(sqrt(448) + sqrt(448) + -2 + sqrt(448)) + sqrt(448))*1 + -3)**2 + -5).\nAnswer: -108504 + 2464*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4785 and 715.\nAnswer: 62205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 1)*((-45)\/(-6))\/(-5). Let l = -14 + 12. Let f = -7 + 7. Put 1, b, l, f in descending order.\nAnswer: 1, f, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 5. Let c(d) = 33*d**2 - 237*d + 37. Let l be c(7). Let o(u) = 4*u - 5. Calculate l*z(b) - 6*o(b).\nAnswer: -4*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 15345927.8 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v\/(v*v\/(v\/v**(5\/3))))\/v)*v)**40)**(-4) assuming v is positive.\nAnswer: v**(-2720\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17043 is divided by 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 12*q - 41. Let l be o(-6). Let r be -8 + 11 + 13\/l. Which is the third smallest value? (a) -4 (b) r (c) -0.08 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.52354 millilitres to litres.\nAnswer: 0.05452354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 2. Let c be n(-8). Let g(m) = -m**3 - 6*m**2 - 7*m - 2. Let q be ((-2)\/4)\/((-3)\/30). Let j(v) = -v**3 - 5*v**2 - 6*v - 2. Give c*j(x) + q*g(x).\nAnswer: x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39563605.\nAnswer: 5, 19, 416459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 57974*b. Let w(d) = 70*d. Calculate j(w(c)).\nAnswer: 4058180*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1217538 divided by -18.\nAnswer: 67641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - -3) + (-42)\/11)*(54 + -43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 - 0.9. Let o = 72 + -18. Is o < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -238, -248, -258?\n\"Answer: -10*k - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1455, 2830, 4079, 5136, 5935, 6410?\nAnswer: 6495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110313 (base 5) in base 3?\nAnswer: 12020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b**3 - 43*b**2 + 25*b - 43. Give j(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**3 + 2*l**3 + 2*l**3 + (8*l**2 - 14 + 14)*(-3*l + 0*l + 2*l) + l**3 - 4*l**3 + l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15f + 3b32?\nAnswer: 39d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 5, 2\/7, 13, -17\/2, -5\/3 in ascending order.\nAnswer: -17\/2, -5\/3, 0.05, 2\/7, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**5 + 1744*t**4 - 14112*t**3 + 42496*t**2 - 56768*t + 28416.\nAnswer: 4*(t - 2)**4*(t + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-199200)\/5240 + 18\/1179?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/11 (b) -0.3 (c) -72 (d) -1\/3 (e) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = j + 5*z, 3*j + 9*z - 177 = 7*z. Suppose 2*q - q - w - 58 = 0, 0 = -q + 2*w + 59. Suppose -j*l = -q*l. Put l, -0.3, -3\/5 in increasing order.\nAnswer: -3\/5, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and ((-108)\/48)\/(18\/(-336)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00185 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 5*u + 4*u. Let a(b) be the first derivative of -4*b**2 - 107. What is a(k(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stt when three letters picked without replacement from {z: 3, t: 3, s: 1, v: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 79\/14 in -4, 9, -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 1, n: 2, i: 2, l: 3, w: 1}. Give prob of picking 1 n and 1 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -6 + -8 + -13 + 2 + (82 - -2)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 16 = 4*u, 0 = -2*b - 3*u + 540215 - 540225 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/1 - (1927\/(-3))\/(-47). What is the third smallest value in 3, t, 0.2, -47, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 16. Let n = 6 + u. Suppose 4*d + r - 189 = 0, n*d + 3*r + 2*r - 146 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74322 (base 9) in base 5?\nAnswer: 3032411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 + 1526*c + 953619\/5.\nAnswer: -(c - 7753)*(c + 123)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r + 11*r - 2873940 = 0. List the prime factors of r.\nAnswer: 19, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1)\/(-2 + 4 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r + 94. Calculate s(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3704 times 0.2\nAnswer: -0.07408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 0. Let y(z) = -9*z + 9 + 8*z**3 - 2*z**3 - 3*z**2 - p*z**3 - 3*z**2. What is y(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3447, 6703, 9951, 13191, 16423, 19647?\nAnswer: 22863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 6. Solve 6*f - f + 10 = 0, -k*l - 12 = -4*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 0.85558.\nAnswer: -0.0171116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(2\/(-5))\/((-1098)\/(-305))*2.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(124\/4836)*(-1)\/(-1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/14*791\/226?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) + (-39)\/(-12). Suppose 0 = -0*b - v*b + 24. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**2 + 4*a**2 - 18 - 4 - 2 - 18*a**2.\nAnswer: -a**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1076*t**2 - 268*t**2 - 262*t**2 - 274*t**2 - 267*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 28 = -20. Let k(y) = -11*y**2 + 600 - 1248 + 14*y + y**2 - y**3 + 624. What is the remainder when k(c) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k**2 - 7*k + 13. Let t(o) = 4*o**2 + 3*o - 6. Calculate -6*m(s) - 13*t(s).\nAnswer: 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 7*k - 26. Let u be n(-3). Solve -c - 3*t = -0*c - 5, -4*t + u = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/5)*l*l)\/l*l*l)\/l**22*l**(-2\/31)\/(l\/(l\/(l\/l**(3\/7)))) assuming l is positive.\nAnswer: l**(-20003\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39041*p**4 - 103*p**2 + 27*p + 1 wrt p?\nAnswer: 936984*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/15, -1\/2, 464?\nAnswer: 464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1 - a**2 - 4*a + a - 5*a + 0. Let s be h(-8). Is 1\/(240\/237 - s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/11 and ((-76)\/(-6))\/((-192)\/(-15) + -12).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0306 in -28, 5, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-50)\/k*k**(-41) assuming k is positive.\nAnswer: k**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - 1.2. Which is the nearest to 2\/3? (a) 2 (b) 2\/15 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-6 - (-4 + 2 + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.241 + 9.141. Let l = -8 - -7.7. Which is the biggest value? (a) 4 (b) 2 (c) l (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2. Let g(h) be the second derivative of 0*h**2 + 0*h**3 + 0 - 2*h - 1\/6*h**4. Give f(g(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 894449 to the power of 1\/2, to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68.7 + -68.7802. Let v = y + 0.082. Round v to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(72\/(-40)). What is the second biggest value in 0, -2\/13, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1070*f**4*p - 110346*f**3 - 172*f - 62699*p wrt f?\nAnswer: -12840*f**2*p - 662076*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*a - 288, 4*a - 3*p - 50 - 252 = 0. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-42)\/(-14)*-89*(-776)\/12.\nAnswer: 2, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 8 = 0. Let r = 2.7 - 6.7. What is the biggest value in 10, i, r?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1260\/45)\/(-252)*-6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:22 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -592 - -592. Solve m = 13*b + 50 - 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4129864*b**2 - 2*b - 1 + 4129856*b**2 + 1.\nAnswer: -8*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 2) to base 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48700 is divided by 642.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -569*x**3 + 2*x**2 + 23*x wrt x?\nAnswer: -3414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*d - 159 = 0, -4*x - 151 + 40 = -3*d. Let h be (14\/10)\/((-6)\/x). Solve 2*c = h*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (59 - (20 + 11))) + (-188)\/(-13)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13074 (base 8) to base 7.\nAnswer: 22411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - -1. Suppose -6*g + 1 = -23. What is the closest to -1 in 2, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/10)\/(-1)*-10*(-5)\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.8 - 7.9. Let a = 2.8999845 - x. Round a to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62614 or -62616?\nAnswer: -62614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**3 - 10*k**3 + 5*k**2 + 3*k**4 - 4*k**4 + 4*k**4 in the form a*k + i + p*k**4 + q*k**2 + m*k**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -46. Suppose k*w - 2*b + 5*b = -33, 5*b = 5. Let g(t) = -t - 9. What is g(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 17. Give r(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 + 216. Let l = -238 + 1186\/5. Which is the biggest value? (a) l (b) 0.4 (c) 15 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51942696 a multiple of 820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 4, -79, 0.03, -6, 0.2, 2\/17?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316711 is divided by 2544.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 1750533\nAnswer: -10\/1750533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 13*a**3 + 175712*a**2 - 1880297*a - 595188 = 0.\nAnswer: -13527, -4\/13, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2226 (base 7) to base 11.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26501, -26272, -25897, -25376?\nAnswer: -24709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -199 - 183 + 349 - 178*s wrt s?\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35442 less than or equal to 35442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*x = 5*x - 2900, -5*l = x - 2880. Suppose -5*b = 5*m - 3*b + l, 112 = -m - b. Is -117 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6 - 1503.\nAnswer: -1505.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.85 - 0.4. Let j = -0.25 + g. Which is the nearest to j? (a) 4 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 5, 551, -1 in ascending order.\nAnswer: -4, -1, 0, 5, 551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 10) in base 5?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 6*u - 9. Let l be s(6). Let w = 2 - l. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 399 = -37*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129.944 + -0.056. Let r = k + 130. Which is the second smallest value? (a) r (b) -4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkw when three letters picked without replacement from kwwwkkwwkkkkw.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25810 = 141*c + 25246 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 6*o. Let b be x(4). Let k be b\/(-360) - 4\/(-18). Find a, given that 0*a + 0 + 1\/5*a**5 - 1\/5*a**2 - k*a**3 + 1\/5*a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -3 (c) 0 (d) 4\/3 (e) 24 (f) -313 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.388 - -1.582. Let z = -1.867 + w. Let t = 0.1030258 - z. What is t rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.7968043.\nAnswer: 0.7968043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (509*u - 660*u - 480*u)*(u**2 - 1 + 1).\nAnswer: -631*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 97460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3467191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**3 + 2*c**2 + 5*c. Let h(m) = -3*m**3 - 4*m + 3 - 3 - 2*m**2 - 2*m**3. Let b(z) = 5*h(z) + 4*x(z). What is the third derivative of b(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8070 = 607*m + 55*m + 70*m - 8766 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + -8a?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 1. Let k(l) = -5*l - 3. Suppose y + 6 = -a, -3*a = -7*y + 12*y + 12. Determine a*u(b) - 2*k(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1900) + -1 + -3 - (-3*(sqrt(1900) + (sqrt(1900) - sqrt(1900)*-2)) + sqrt(1900) + 1)) + 5.\nAnswer: 130*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 11*s**3\/7 - 41*s**2\/7 + 30*s\/7 = 0.\nAnswer: 0, 1, 30\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in decades?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2 - 1552455*k - 114865242 = 0. What is k?\nAnswer: -517411, -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 277628*z**3 + 9642711146*z**2 - 558576986136*z + 8095982178888.\nAnswer: 2*(z - 69378)**2*(z - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/8)\/(p*p\/p**(1\/5)))**25 assuming p is positive.\nAnswer: p**(-335\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 28*w**2 - 26*w - 81. What are the prime factors of s(24)?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*c - 3. Is 3\/c*(-160)\/(-30) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50473209 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -71\nAnswer: -9\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417675, -417672, -417669, -417666, -417663?\nAnswer: -417660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 h when three letters picked without replacement from nfnhnfhnfnnhhn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k + 3. What are the prime factors of y(5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1081854 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3071 - 1773. List the prime factors of m.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62614448 rounded to 5 decimal places?\nAnswer: -0.62614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 11)\/(-5) - -5. Let y = 4 + d. Solve y*j + 10 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 - 2*d + 3*d - d.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3081.62015 - -3069.62. Let s = -12 - r. Round s to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(14\/5)*g*(g\/((g*g*g**(-3))\/g))\/g*g**(-3\/16) assuming g is positive.\nAnswer: g**(169\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554285911 is divided by 508?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g - 48. Let s be z(-15). Suppose -14 = -s*f - 158. Let a(w) = -28*w**2 + 12*w + 12. Let t(u) = 11*u**2 - 5*u - 5. Give f*t(d) - 5*a(d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (8 + 13)) + 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13533\/40 - 679\/2. Find the common denominator of -63\/232 and q.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*t**5 - 8*t**2 - 53*t + 1?\nAnswer: 340*t**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 197, -1, -254?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 20*p - 62. What is the hundreds digit of n(27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-6)\/3)\/(2\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 295\/(-177) + (-194)\/6. Put -8, 5, b in descending order.\nAnswer: 5, -8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + 112\/21 + -5. What is the units digit of 22\/55*(s + 85)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 20\/3*l**3 - 34 + 18*l + 84\/5*l**2 + 2\/25*l**5 + 6\/5*l**4. Factor j(s).\nAnswer: 2*(s + 1)*(s + 3)**2*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21967 * -2246\nAnswer: -493.37882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*g - 159, -g - 1 = -5*a + 264. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3371, -3625, -3887, -4157?\nAnswer: -4435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1605 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123749.\nAnswer: 67, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let j(n) = 4*n + 53. Let v(s) = 6*s + 82. Let y(q) = 8*j(q) - 5*v(q). Calculate p(y(k)).\nAnswer: -8*k**2 - 112*k - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -236, -487, -738, -989, -1240?\n\"Answer: -251*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 167. Let z = g - 72.963. Let h = -0.237 + z. Which is the closest to -2? (a) h (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1300*y**2 - y + 1441*y**2 - 2742*y**2 + 8406 to the form n*y**2 + w*y + o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 46. Let h = 19 + c. What is the third biggest value in h, -5\/3, 0?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-26\/9)\/s**(1\/25) assuming s is positive.\nAnswer: s**(-659\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 4*w = 200. Let s = 59 - w. Calculate the remainder when 71 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) 35 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 5, -0.2, -5, -47\/5, -1 in ascending order.\nAnswer: -47\/5, -5, -1, -0.23, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwwpmppmmwm. What is prob of sequence wpw?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -14562303 - 4*t**2 + 14562303 - 2205*t**3 as m*t**3 + y + g*t + n*t**2 and give m.\nAnswer: -2205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 9*b**2 + 23*b - 8. Let o be j(11). Let z(h) be the second derivative of -1\/36*h**4 + 0 + 1\/6*h**2 + 0*h**3 + o*h. Factor z(u).\nAnswer: -(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -303\/7. Factor a*g**2 - 3\/7*g + 0.\nAnswer: 3*g*(4*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3300721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1 + 2 - a**2 - 1 - 5*a. List the prime factors of w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970 a factor of 128877712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665479?\nAnswer: 665479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*t = -76, 2*t + 4542828 = -g + 4542806 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156874\/4*(77 + -63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 533725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36781, 74541, 112295, 150043, 187785, 225521, 263251?\nAnswer: 300975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 5, 2, -3, 6 in decreasing order.\nAnswer: 6, 5, 2, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1770 and -133\/853848?\nAnswer: 4269240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 10 = -2*t. Suppose -s + k = -t, 2*s + 2*s + 2*k + 4 = 0. Let h = 263\/5190 - 3\/173. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1366, -1352, -1328, -1288, -1226, -1136?\n\"Answer: h**3 - h**2 + 10*h - 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (26 - 2) - 9) + 0 + 0?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0571 and 1875.\nAnswer: -107.0625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 17, 0.2, 0.0029, -0.1.\nAnswer: -3\/5, -0.1, 0.0029, 0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 + z. Let o be d(1). Suppose o*m - 6 = -16. Let k = -130 - -133. Sort m, -4, k.\nAnswer: -4, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2178) + (sqrt(2178) - -6*sqrt(2178)*-2) + -1 + sqrt(2178) + -1)**2.\nAnswer: -705688 - 4752*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 57*n**2 - 311*n - 215. What is the hundreds digit of s(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 2928?\nAnswer: 59\/2928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/5)\/((-66)\/110). Factor 0 - 1\/2*t**5 + 0*t - 1\/2*t**4 + 0*t**3 + 0*t**l.\nAnswer: -t**4*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.95989\nAnswer: 2.87967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -8*c - 3*s - 30, -3*s + 75 = 4*c. Suppose -5*i - 75 = -2*a, -3*i + 40 = 4*a - 71. Calculate the least common multiple of c and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-3) + (12 - 9). Let k = -1.4 - -1.5. What is the biggest value in a, 8, 4, k?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 6077. Let p(r) = 119*r. Determine s(p(c)).\nAnswer: -14161*c**2 - 6077","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 86. Let z = -6 - -2. Let j be 7*45\/(-63) + 25\/4. Sort j, 5, z, u.\nAnswer: z, j, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4601, -4601, -4607, -4625, -4661, -4721, -4811, -4937?\n\"Answer: -d**3 + 3*d**2 - 2*d - 4601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khndkdhdtnndttdhdh. Give prob of picking 2 k and 1 t.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 3*x - 2*x - 3*w, -3*w = x - 326. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3 - 906341*x**2 - 3625377*x - 2719035 = 0.\nAnswer: -3, -1, 906345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r + 39. Let x be l(-6). What is the second derivative of -229*k - 281*k + k**5 + 419*k + 73*k**x wrt k?\nAnswer: 20*k**3 + 438*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -30. Solve 0 = -3*b + n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/45)*u**(-2\/5) assuming u is positive.\nAnswer: u**(-16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 24 = -6*v + 2*v, -4*w + 16 = -4*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -40, -38, -36, -34, -32?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3499 - -3524. Solve -5*k + s = -3*b, b = -2*k + 4*b + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 908 = -6*g + 3*g - l, -5*g + 3*l - 1518 = 0. Let v = g + 1346. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 6:25 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 1 + 0*(-3)\/(-24). Let u(s) = s**2 - 7*s - 5. Let x(i) = -4*i - 2. Determine f*x(c) + 2*u(c).\nAnswer: 2*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 h, 1 p, and 1 e when four letters picked without replacement from hepxh.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2830 - 5650 - 706*a + 2820.\nAnswer: -706*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28184*q**4 - 1022*q**2 - 536.\nAnswer: -676416*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/30 + k**4\/2 - 3*k**3 - 2*k**2 + 5. Factor o(q).\nAnswer: -2*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321019074 to the power of 1\/3, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.327 less than 196928704304?\nAnswer: 196928704304.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 371*o**2*v**3 - 257584*o**2*v - 2857*o*v**3 + o*v**2 - 4 wrt v?\nAnswer: 2226*o**2 - 17142*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 9*z - 14. Let d be s(-5). Let t = d - 78. Solve 0 = t*g - g + 3*u + 9, 2*g + u + 3 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -2\/11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56\/165 + 2\/33. Factor -n*i + 0 + 2\/5*i**4 + 2\/5*i**3 - 2\/5*i**2.\nAnswer: 2*i*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3)*5\/2. Let i = 72 + -73. What is the second biggest value in -3, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(156))\/sqrt(12) + -1 + sqrt(325) + 5.\nAnswer: -sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -51. Let z be m\/(-4) - (-1)\/(-4). Solve 0 = 4*j + j + z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5881.84 rounded to the nearest 100?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -50575 divided by -10115?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13009766.9 rounded to the nearest one hundred?\nAnswer: -13009800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 185, 281, 377?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 12:43 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w - 3*w)*(0*w**2 + w**2 - 3*w**2) + 35 - 58*w**3 - 35.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/((-37)\/(740\/(-24))).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.083, -5\/4, -0.5.\nAnswer: -5\/4, -0.5, -0.083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72730918*v - 86705258.\nAnswer: -72730918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 40.4 * -0.113503\nAnswer: -4.5855212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*t - 2*v + 7, t + 4*v + 10 = 0. Let l(p) = p**2 + 8*p + 9. Let b be l(t). Suppose 2*f - 333 = -329. Put b, f, 4 in descending order.\nAnswer: 4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -35.22?\nAnswer: 32.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 8*i**2 - 8*i - 4. Let c = 1 + 4. Suppose -s - 3 - 1 = -3*f, -3*f = c*s + 38. Calculate the remainder when 7 is divided by n(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -318495705*b**2 + 101967644*b?\nAnswer: -636991410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + 83 - 45*v - 29*v**2 - 90 + 31*v. Let t be k(15). Solve t*f - 6*f = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q - 38 + 45*q - 36 + 106 - 33.\nAnswer: 28*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from mgr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1129, -3002, -5515, -8674, -12485, -16954, -22087, -27890?\nAnswer: -34369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let z = w + 5. Let i = -574 - -569. Put i, z, 0 in increasing order.\nAnswer: i, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263650 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1. Let h(d) = -3*d**2 + 17*d - 50. Let l be h(5). Let a(i) = 4*i - 20. Give l*t(n) + 2*a(n).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l - 16*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 2.7. Are x and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**4\/6 + w. Let k(o) = 4*o + 3*o + 2*o**2 - o**3 - 5*o + 0*o + 2. Let y be k(3). What is z(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 5*z**2 + 2*z + 7. Let v be b(-5). Let c(q) = q + 2. Let j(s) = 2. Let p(f) = -5*c(f) + 4*j(f). What is the tens digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*h - 12. Let a = 16 - h. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 1 = 2*j. Suppose 4*b - 49 = 15. What is the remainder when b is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(39\/(-91)*(-14)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4\/7 + 212*n**3\/7 + 7776*n**2\/7 + 53248*n\/7 - 139264\/7 = 0.\nAnswer: -16, 2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l**2 + 29*l + 3. Let c be x(-3). Suppose 0 = -3*o - c*o - 27. Put -5, o, 11, -1 in increasing order.\nAnswer: -5, o, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -43) + -65 + 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in -0.5, 37\/3, 30, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(24\/(-406))*2. Let p = a - 116. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 244*n**2 + 384*n + 25. Is q(-6) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 1516704822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7756064?\nAnswer: 2, 242377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/26 - (-18)\/4. Suppose -4*o + 12 = 2*q, -12 = -d*o + 3*q - 0*q. Solve -5*z + 22 = -o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 780 and 1623895.\nAnswer: 19486740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 <= 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, b: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43028753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*k**2 + 2 - 2 + 138*k**2 + 85*k.\nAnswer: -13*k**2 + 85*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0 (c) -2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)*j**25)**(-39) assuming j is positive.\nAnswer: j**(-585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u - 42. Let o be m(-6). Is 21 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:49 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31214250 - -21?\nAnswer: -31214227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*y**3 - 4*y**3 - y + 16*y**3 + (y**2 - 4*y**2 + 5*y**2)*(-4*y + y + y) + 0 - 2*y**3 + 0.\nAnswer: -37*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/99)\/(((-4)\/3)\/(-4)). Let l be -1*(-8 + -1)\/(-3). Put l, -0.3, z in increasing order.\nAnswer: l, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -24. Suppose 3*n = 3*n - y*n. Suppose 186 = 3*f - 3*b, -2*f = -n*f - b - 128. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*b = m - 10, -6 = -4*m + 3*b. Suppose 2*y - 7 = 1. Let v = y - m. Solve v*f + 12 + 8 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from weezezwzzzzzezezeee.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6132 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*m - 4*m - 19*m - 3808*m**2 - 6*m)*(1 - 2*m - 1).\nAnswer: 7616*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -194 (c) 64\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 873549 and 3030.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 8299, 70, -3, 5.\nAnswer: -3, 5, 56, 70, 8299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 4*h**2 + 29*h - 162. Calculate r(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5757 is divided by 640?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + x + 1. Let h be k(-1). Is h\/(-6) + 80\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15000983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137 (base 12) in base 11?\nAnswer: -1491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-318)\/(-6))\/(-212)*((-2)\/(-5))\/(220\/400)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1d3d17 (base 15) to base 9\nAnswer: -2620334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -36 (b) 2 (c) 3 (d) -588\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 + 5*b - 58. Let j be m(8). Calculate the highest common factor of j and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.365651 rounded to one decimal place?\nAnswer: -74.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*f + 44, -2*l - 3*f = -13 - 9. Let a be (-2)\/l - 35\/(-11). What is the third derivative of -5*v**3 + a*v**3 + 5*v**2 - 7*v**3 wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 87075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.31512 and -2.558?\nAnswer: 2.24288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**4\/8 + 2*q**3\/3 - 13*q**2. Calculate h(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8167490.\nAnswer: 2, 5, 241, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*x - 29 = 0, -2*a + x = 6*x - 25. Let q = 12 - 8. What is the second derivative of a*b + 2*b**3 - 4*b - q*b**3 wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*s - 78*s = 87*s + 2475. What is the lowest common multiple of s and 176?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 29*n - 38. Let j be t(26). Suppose 2*g - j = 8. Solve -2*s = -5*q + 10, 0*s - q = 4*s - g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*c**2 - 1\/5 + 2\/5*c = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 638 = -451. Suppose -f - 8*z**2 - 14*z**4 + 17 + 8*z**2 - 2*z**5 - 20*z**3 = 0. What is z?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 11}. What is prob of picking 1 g and 1 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*t = -32, 5*t - 3 = 4*l + 1. Suppose -6*q + 3*c + 98 = -4*q, 0 = 5*c - 20. Calculate the remainder when q is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.984 - -0.016. Let p = 9.4 + -9.6. Which is the nearest to p? (a) -1 (b) x (c) -4\/5 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -12, 37, -4, 6 in decreasing order.\nAnswer: 37, 6, 3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -139898.399 and 2500.\nAnswer: -137398.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3, 0, 5356.\nAnswer: 0, 3, 22, 5356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Let p(c) = -1. Suppose 10 = -3*n + 4*f, 0 = 3*f - 8 - 4. Suppose 7 = 2*m + m + 2*s, 4*m = -n*s + 6. Let r(o) = 2*o - 3. Give m*r(x) + y*p(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 7. Let p be x(-3). Suppose 0 = 3*w + 2 + p. Sort 5, -2, w in ascending order.\nAnswer: w, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 1\/360*g**6 + 0*g + 0 - 1\/15*g**5 + 0*g**3 + 1\/12*g**4 - 8*g**2. Let i(q) be the second derivative of k(q). What is i(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.993 - 0.007. Let s = -98 + 97.96. Which is the third biggest value? (a) 1\/57 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/1217, 8\/3, 22, -3\/2, 2, -10\/11, 2\/11?\nAnswer: -2\/1217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 45, 103, 195, 327?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c + 1. Let r(b) = -4*b**2 + 3*b - 29. Let m(x) = -5*i(x) - r(x). Let d be m(-4). Solve 2*h - 3*a - 1 = d, -h = 3*h - 5*a - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 22 = 7*k. What is the closest to k in -4, -0.06, -0.4, -3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3 - 56*f**2 - 250*f - 192 = 0. Calculate f.\nAnswer: -3, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c - 15. Let o be v(-5). Let w = 31\/6 - o. Do 0 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 8) in base 14?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3475 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154122507?\nAnswer: 1154122507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 3*d. Let i be m(2). Suppose 18*g + 24*g = 126. Solve i*k + 2*t - 16 = 0, -5*k + 4*k - 12 = -g*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -22. Let u = a + 15. Solve 10 + u = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + j - 1. Let v be 23\/4 + (-6)\/(-24). Let x(c) = 7*c**3 - 6*c + 7. Determine v*m(r) + x(r).\nAnswer: r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5*159936071\nAnswer: 799680355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177 and 2537.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 412 (base 5) to base 13\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 3.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4*x + 0 + x - 4 + 4 + (2*x + 2*x - 5*x)*(-4 + 3 - 1) + 2 - 2 + x - 2*x - 3*x + 6*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 58691.85 and -0.055297.\nAnswer: 58691.794703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, 10\/3, -11\/2, 5\/7, 2\/11 in increasing order.\nAnswer: -11\/2, 2\/11, 5\/7, 10\/3, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (4 + -6 - (-1 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - v - 2. Let s(h) = -4*h**2 + 4*h + 3. Let j(i) = -6*m(i) - 3*s(i). Let g be j(2). What is the highest common divisor of g and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 577\/((-3473540)\/1032)*14\/(-18).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2. Let b(z) = z - 1. Let t(f) = 18*f - 8. Let u(h) = -8*b(h) + t(h). Calculate u(v(r)).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 0 + 4*z + 3\/2*z**2 + 0*z**3 + 1\/4*z**4. Find the first derivative of p(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 27066. Let g(y) = -14*y**2. Give z(g(j)).\nAnswer: -42*j**2 - 27066","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10*(-25)\/(-15))\/(2\/44)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -19. Let q be (-1)\/((-2)\/(-6)*-1). Suppose 2*u = 0, 2*a = -3*a + q*u + 85. Calculate the remainder when a is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0192 times -0.17\nAnswer: 0.003264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001939 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*a + h + 2, 4*h + 16 = 4*a. Let q(v) = v**2 + 2 - 7*v - 5 - 2 + a. Does 3 divide q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 0.15.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -626 - -531. Is s at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63660533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-69)\/1*1. Suppose -4*d + 769 + 155 = 4*a, a - 5*d - y = 0. Let r = a - 148. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 314 - 172. List the prime factors of o.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94238417 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/2, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 4*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 19*v - 161. What is g(7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 429, 864, 1301, 1740, 2181?\nAnswer: 2624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4892971.023 to the nearest one thousand.\nAnswer: -4893000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 16*m**2 - 47*m + 4. Let u be o(12). Suppose -160*x + u = -156*x. Solve 3*r = 4*i + 3, -r + i + x - 2 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410470640?\nAnswer: 2, 5, 29, 176927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/20 and -101\/54782580.\nAnswer: 54782580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8274670105 + 661?\nAnswer: 659.1725329895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 14*f**2 + 12*f - 16. Let r be (-3)\/((-36)\/(-142)) + 469\/(-402). Determine y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(0*j**4 - 3*j**4 + 5*j**4) - j**4 - 2*j**4 + j**4 + 2*j**4 + 2*j**4 - 6*j**4 + (3*j**3 + 3*j**3 - j**3)*(17*j - 3*j - 2*j).\nAnswer: 52*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -129.59 and 5.2.\nAnswer: -124.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 2*c - 2. Let p be l(-2). Suppose -s + p = -34. Let v = s + -16. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 + 2*w**3 + w + 11 + 9 + 0*w**3 - 19 as h*w**4 + f + j*w**2 + s*w + n*w**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04579738 rounded to 3 dps?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j + 41*j + 26*j - 73*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.8 - -0.8. Let m = x - -38.23. Let s = m - 0.12. Round s to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 461 = -z - 3*z, 2*z = 5*p - 237. Let t = 582\/5 + z. Which is the closest to 1\/8? (a) t (b) -5 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5*-2*sqrt(684))**2 - -5*(sqrt(684)*-2)**2).\nAnswer: 246240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrvq when four letters picked without replacement from {q: 11, v: 1, r: 5}?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((1 - 3) + 0). Let t be -25*(1 + (-165)\/25). Suppose 10*b + t = 14*b. Calculate the highest common divisor of g and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9875 + -9056. What is the least common multiple of 351 and j?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -1. Suppose -4*j - 3*d - 31 = -6*j, 2*j - 2*d = 30. Suppose -20*z + j = -19*z. Solve 2*a - z = u - 3*a, -l*u - 14 = 3*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56895 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -151 and -1231.\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7501 = 46*f - 1101. Calculate the remainder when 558 is divided by f.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -189 + 195. Suppose 0 = -3*n - 98 + 20. Let i(v) = -2*v**2 - 3*v - 3. Let p(b) = -9*b**2 - 13*b - 13. Determine n*i(o) + r*p(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -11\/2, -1\/4, 0, -5 in increasing order.\nAnswer: -11\/2, -5, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -9. Let q = 23 - p. Let f be (-3 - 0) + (-64)\/q. Which is the biggest value? (a) -0.3 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*-2*(-266)\/3990. What is the fourth smallest value in 2\/13, 3, z, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 615*w + 8. Let f(p) = p. Determine x(f(l)).\nAnswer: 2*l**2 - 615*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -z + f, -5*z - 3*f + 68 = -6. Let g = -5 + z. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 2. Calculate p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*c = -4*c - 321*c + 18954. Calculate the remainder when ((-16)\/3)\/((-1)\/36) is divided by c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 20829?\nAnswer: -62487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 0.4 (c) 2\/19 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**3 - 5*q**2 - 19*q + 7. Let g(m) = 9*m**3 + 6*m**2 + 18*m - 6. Let j = -3 - -10. Let x(s) = j*g(s) + 6*c(s). Solve x(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 13*n**2 + 22*n + 20. Let t be i(8). Sort t, -3, -24, -5, 6.\nAnswer: -24, -5, -3, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) -7 (c) 3\/7 (d) -2 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 386890 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 3*f**2 - 5*f + 1033. What is r(0)?\nAnswer: 1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3654, 3, 1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8959*q**3 + 2449*q**3 + 2843*q**3 + 2878*q**3.\nAnswer: -789*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8064)*1)\/(sqrt(12)\/(sqrt(6)*1)).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*z + 9, 3*z - 19 - 2 = 5*r. Suppose 296 = 4*b + 5*l - 3*l, 0 = 5*b + z*l - 370. Find the common denominator of b\/(-40) + (-4)\/10 and -7\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 172014, 171961, 171846, 171639, 171310, 170829?\n\"Answer: -5*g**3 - g**2 - 15*g + 172035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = -3*b - b, 0 = 2*b + 6. Solve -3*f + 8 - 2 = w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + q)*(-13*q**2 - 2116*q**3 + 6*q**2 + 7*q**2 - 1238*q**3).\nAnswer: 6708*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7317 - -15853. Is 32 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 - 3*a**3)*(2*a - 4*a + a) + 512*a**4 - 856*a**4 + 1612*a**4.\nAnswer: 1271*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 71 = -2*k, -5*k - 2 + 66 = 3*r. Let x = 29 + r. Suppose w = -15 + x. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -60, 2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 52. Let z be g(-13). Suppose z = 3*p - p - 3*m - 344, 3*p = -2*m + 503. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*p - 3, -16*p + 17*p - 2*l - 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-35) - 22778\/(-35) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 12) + 1 - (6259 + -6249 - (-90 - 0)).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 367, 571, 809, 1087, 1411, 1787, 2221, 2719?\n\"Answer: h**3 + 11*h**2 + 164*h + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyooymoooaoyo. What is prob of sequence aym?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 1065.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*b + w - 2*w - w = -41*b - 1609, -3*b = -5*w - 251 for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 35. Let c(d) = -d**2 + 3 + 5*d - 18*d**r + 19*d**3 + 5*d**2. Let q be 4 + 3*14\/(-6). Give c(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:24 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from ooooooqoqoo?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m - 21*m - 17*m - m + 1 to the form k*m + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4764 divided by -4.\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.8900255 weeks?\nAnswer: 149.524284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3 + 1 + 1 - 4 + g**3 - 4*g + 4*g**2. List the prime factors of p(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004008627 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4360 is divided by 2172.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240024 by -1.\nAnswer: 240024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmah when four letters picked without replacement from {h: 2, m: 3, a: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -205*s**2*x**3 - s*x**3 - 104*s*x**2 wrt s.\nAnswer: -410*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4335502 meters in centimeters?\nAnswer: 43.35502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 18, 1, -17 in increasing order.\nAnswer: -17, -5, -1, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(34\/(-153) + 35\/36). Suppose 3*s = -m*a + 15, 0*s - 3*a = -4*s - 1. Solve 0 = 3*d - s*d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*k - 128 + 128 + 141*k.\nAnswer: -258*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 8*y**7\/21 + 11*y**3\/6 + 12*y. Find the second derivative of k(g) wrt g.\nAnswer: 320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14468359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2913161.1 + 2246?\nAnswer: -2910915.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -39*t - 318. Calculate f(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l**3 - 3*l**3 + 60*l**3 + (0*l**2 + 0*l**2 + 3*l**2)*(0*l - 3*l + 4*l) as g*l**2 + p*l**3 + o*l + y and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - p + 1. Let r(u) = -3*u**3 - 2*u**2 - 4*u + 6. Let s(g) = -3*g**2 - 36*g + 139. Let z be s(-15). Calculate z*x(a) - r(a).\nAnswer: -a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*1323*-5*12\/(-90). Suppose -5*w - 31*w + b = 0. What is w rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x - 2. Suppose l + 2 = -3. Let m(y) = 6*y - 3. Let n(q) = l*p(q) + 6*m(q). Let f be n(5). Put f, 2, -7 in increasing order.\nAnswer: -7, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + -0.8. Let s = o + 1.958. What is s rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130.8262t to nanograms.\nAnswer: 130826200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -13, -4.\nAnswer: -13, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/2 + (-5456)\/(-899)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1531*s = -1529*s + 10. Let m(v) = -v**2 - 9*v - 9. What is m(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s - 24 = 0. Suppose -68 + s = -4*d. Solve i + 4*h - 1 = 5, 2*i = 5*h - d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) 0.1 (b) 0.2 (c) 0.44 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -930, -1933, -3014, -4173, -5410?\n\"Answer: -39*x**2 - 886*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416294 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 190091 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2059480753 to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 4067*z**2\/3 - 4064*z\/3 + 8132\/3.\nAnswer: -(z - 1)*(z + 2)*(z + 4066)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 2*j**2 - j - 4. Let u be l(1). Solve 4 = 2*b + 4*g + 2, u*b = -g + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109027.\nAnswer: 31, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 49 = 5*z. What is the greatest common factor of z and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -282*d + 6. Suppose 0 = 2*x - 0*f - 4*f + 22, -6 = x - f. Let o be a(x). Calculate the common denominator of -63\/8 and (1412\/o - -1) + (-8)\/(-36).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7898 - 3920 - 3935)*(-2*a - 1 + 1) - 1 + a + 1 to l*a + w and give l.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -497677*y. Let l(u) = -12*u. What is l(f(r))?\nAnswer: 5972124*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 - 5*p**2 + 28*p**2 - 13*p**2 in the form r*p**2 + u + x*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*6*-5.\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003619893 rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3582726161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 99. Let u = 67 - 1. Suppose v + c = -u. What is v rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 10879 - 60479. Round t to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6)*-1)\/(-21*(-6)\/189).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 332011314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -127, -252, -373, -490, -603?\n\"Answer: 2*q**2 - 131*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1369755093\/482 - -246719902104707\/86817840. Let f = k - 2\/22515. Let m = -16715 + 401083\/24. Find the common denominator of m and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76638848 divided by -848.\nAnswer: -90376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1004863*i. Let k(p) = 2*p**2 + 25. What is k(y(a))?\nAnswer: 2019499297538*a**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + h + h - 236 = 0, 4 = -2*h. Calculate the smallest common multiple of ((1800\/35)\/(-15))\/(44\/(-77)) and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from xrxenmzr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973795587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l**3 + 65*l**2 - 398*l - 23. Determine g(7).\nAnswer: -2368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*p, -12*j + 14*j + 4 = 2*p. Is j*(-4)\/(-32)*-9722 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 16880?\nAnswer: 5064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*f + 19, 2*w + 3*f = 5*w + 57. Let k = w + 20. What is the closest to -1 in 0.2, -2\/9, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950\/150 - (0 - 7)*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -7 + 7 - (2 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 358634777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-5)\/5 - -4 - -3. Let 4*y + 3*y**2 + 68 - 76 + y**t = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.8 - -8. Let c = w - -0.4. Let m = 620 - 616. What is the third biggest value in c, 0.4, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 12 + -13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/389700 and 82\/2475.\nAnswer: 4286700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(1040\/12))\/((-15)\/(-10))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 4 - (10 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/((-3)\/(-26)))\/1. Let s(z) = 3 + r*z**2 - 3. Let y(j) = -j + 6. Let k(v) = v - 12. Let c(b) = k(b) + 2*y(b). Determine c(s(a)).\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**6\/150 + 13*n**5\/100 + n**4\/12 - 229*n**3\/30 + 21*n**2 + 7202*n. Suppose g(z) = 0. What is z?\nAnswer: -10, -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(4\/(-3) - -2). Suppose 194*x - 195*x - 4*s - 36 = 0, 0 = -4*x - 2*s - 18. Sort 3, a, -5, x.\nAnswer: -5, a, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-124.8.\nAnswer: 249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 181*i - 731. Determine q(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 13*b - 4. What is k(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/5, 3, 4 in decreasing order.\nAnswer: 4, 3, -1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (29\/(3625\/180))\/(6\/(-20)). Which is greater: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21+0.309\nAnswer: 21.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 0 + 2\/5*y**5 - 12*y + 11*y**2 + 0*y**3 + 0*y**4. What is the first derivative of k(f) wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 138, 425, 968, 1851, 3158?\nAnswer: 4973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -805, -1622, -2439, -3256, -4073, -4890?\nAnswer: -5707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 356*s**2 + 713*s + 1070\/3.\nAnswer: -(s - 1070)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 102110110001 (base 3) to base 16\nAnswer: 37132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/(3*10\/60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scsiiipi. Give prob of picking 2 i and 2 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 245*j - 1911. Determine r(8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/208683410 and 7\/20868341?\nAnswer: 208683410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 25080 = 46*b + 155*b. Which is smaller: 909\/8 or b?\nAnswer: 909\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.63, -4, 4\/573, 1, -2?\nAnswer: 4\/573","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -157.9 + 5\nAnswer: -152.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*l + 18*l + 27*l + 6 + 10*l as d*l + y and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**3\/6 - b**2 - 27*b. Let o be i(-2). Solve -k + o = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131742131?\nAnswer: 523, 251897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 2. Let u(k) = k**3 - 5*k**2 + 6*k - 5. Let b be u(4). Let s = -9 + b. Give i(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/5759 - 5703\/161252. Calculate the common denominator of y and -93\/544.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, s: 6}. What is prob of picking 2 s?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953 greater than 3933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 40\/25)\/((36\/10)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14137? (a) 0 (b) 2\/3 (c) 0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153286523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -297, -426, -643, -948?\n\"Answer: -44*q**2 + 3*q - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 4*z**2 - z. Let m be x(-4). Suppose -m*g + 47985 = 5*b, -23994 = -2*g - 0*b - 2*b. What is g rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/18 and -43\/161836?\nAnswer: 1456524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 8 = -30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1537749 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -40*j**2 + 61. Suppose 0 + 10 = 5*t. Let r(h) = -39*h**2 + 61. Let d(n) = t*r(n) - 3*x(n). Find the first derivative of d(p) wrt p.\nAnswer: 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 187*v = 458 - 80 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107777, 107611, 107445?\nAnswer: 107279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11093991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.62286 + 3.4\nAnswer: 4.02286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 + 2*p**2 - 9*p - 4. Let x(n) = 8*n**3 + 5*n**2 - 18*n - 9. What is -5*j(c) + 2*x(c)?\nAnswer: -4*c**3 + 9*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/42)\/5*2\/2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhhhnhhhhhhh. Give prob of sequence hhh.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87392417*c**3 - 10058440 wrt c.\nAnswer: 262177251*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -65032114 (base 7) to base 2\nAnswer: -10101000111111010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1443 + 987. Let d = -312 - p. Suppose 0 = -2*a + 736 + d. Round a to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -22. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/9 (b) -3 (c) 408 (d) 1.154 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 (base 13) in base 3?\nAnswer: 1022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**9\/16632 + r**8\/4620 - r**6\/990 + r**5\/660 - r**3\/3 + 8*r**2. Let f(s) be the first derivative of p(s). Factor f(m).\nAnswer: -2*m*(m - 1)**3*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*k**2 - 7*k**3 + 7*k**2 - 4*k + 3*k in the form g*k**3 + u*k + y*k**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 r when four letters picked without replacement from {r: 4, s: 4, t: 7}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 + -143. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 k when four letters picked without replacement from {g: 2, k: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1551 divide 12861168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z**3 - 857 + 5*z**3 + 857.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*p - 564*p - 571*p + 1699*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - y**3 - 9*y**3)*(0 + 2 + 1)*(-3 - 1 + 2).\nAnswer: 66*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -4) + -10 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 14*z - 9*z + 82 + 2*z - 2 + 2 - 2 + 2*z + 2 + (0*z + z + z)*(-4 + 1 + 4) - z + z + 2*z + 0 - z + 0 + 2*z + 2*z - 2*z.\nAnswer: 11*z + 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(sqrt(12)\/sqrt(64) + sqrt(9)\/sqrt(147))**2.\nAnswer: 559\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -107, -134, -131, -92, -11?\n\"Answer: i**3 + 9*i**2 - 61*i - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.1. Let b = 8 - 7.9. Which is bigger: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100888 is divided by 3147?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 96\/2077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 11068*w**3 + 11064*w**2.\nAnswer: 4*w**2*(w + 1)*(w + 2766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*b**4*j - 333*b**2*j**2 - 2*b**2 + 136211*j**2 wrt b?\nAnswer: 32*b**3*j - 666*b*j**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 7*v - 2*v)*(0 - 1 + 0) + v + 10*v - 3*v - 3*v + 0*v + v - v + 2*v + 0*v + (-2*v + 0 + 0)*(-5 + 2 + 1) + 4*v + 0*v + v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 212\nAnswer: 5\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-18))\/((-1)\/6). Let t(g) = -3*g - 9. Let h(x) = -4*x - 9. Let y(l) = r*h(l) - 3*t(l). Calculate y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4 - 3 - 2 + z + 2. Suppose -3*m + 13 = 2*v, -3*m + v + 2 - 4 = 0. Let i(r) = -r**2 - 4*r - 4. Let h(y) = m*i(y) + 6*b(y). Calculate h(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 32*m + 1098. Let o be h(-34). Solve 10 = -o*i + 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3 + 5 - 1 = -3*g, 9*g = p - 22 - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5635 = 1099*d - 938*d for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 t, and 1 o when four letters picked without replacement from {s: 6, o: 5, h: 1, z: 3, t: 5}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.5, -2.3, -0.2, 2\/11, 93\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -0 - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 59*d + 858. Calculate v(-14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65774.0707 rounded to the nearest 10?\nAnswer: -65770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844124973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-12))\/(2\/(-24)). Let q = j - 4. Find the first derivative of -2*p**4 - p**4 - 1 + q wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 m when four letters picked without replacement from {i: 3, j: 3, m: 4, a: 2, g: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from ntxxtntxxxxxtt.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/540 + w**4\/216 + 3*w**2. Suppose x(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(9)*1))\/((sqrt(2) + sqrt(6)\/sqrt(3))*4 - sqrt(2))*-6 - (1*sqrt(245) + 0 - (sqrt(245) + 0)**2*-5).\nAnswer: -1225 - 55*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*h - 200*h + 13 = 2*v, -5*v - 50 = 5*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-158)\/(-70) - 2)*310\/93. Let j = 3.7 - 5. Which is the third smallest value? (a) w (b) j (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 423895*n - 4238450.\nAnswer: -5*(n - 84769)*(n - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 535954267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4982013 and -0.134?\nAnswer: 4982013.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -478, -5, 4 in descending order.\nAnswer: 4, -5, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 3*p**4\/8 - 25*p**3\/18 + 23*p**2\/12 - 7*p\/6 - 126. Determine v, given that y(v) = 0.\nAnswer: 7\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s - 60 = 212. Is 24 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z**2 + 16*z + 11. Let v(u) = 5*u**2 - 12*u - 7. Let w(h) = 3*c(h) + 5*v(h). What is w(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*l + 48 = -217*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24188571, -24188566, -24188561, -24188556?\n\"Answer: 5*q - 24188576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 + a - 1. Let c(f) = f**2. Suppose -5*k = -8*k - 21. Let n(s) = s**2 + 4*s - 8. Let w be n(3). Let h = k + w. Determine h*c(m) + i(m).\nAnswer: m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 122 = -4*u, -145964*u + 213 = -7*k - 145959*u for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyvrouuusuuuru. Give prob of sequence or.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-325)\/26)\/25*4\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 2. Let f(b) = -19*b + 13. Let o(p) = 39*c(p) + 6*f(p). Let s(t) be the second derivative of -t**4\/6 + 3*t. Give s(o(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*b - 3 + 3)*(3 - 1 - 4) - 2*b - 2 + 2 + 4 - 16*b - 16*b + 33*b)*(-4 - b**2 + 4) to z*b + d*b**3 + o + v*b**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651908.4 millimeters to micrometers.\nAnswer: 651908400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = 4*p - 278. Let n = -123 + p. Calculate the highest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84690000 rounded to the nearest 1000000?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 37306\/55 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j + a + a = -36*j + 2, 0 = 4*j + 3*j + 3*a + 23 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99884 + -51645. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31563 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a century in years?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0 + 0*j - 1\/10*j**5 + 0*j**6 - 2*j**2 + 1\/112*j**8 + 0*j**7 + 0*j**4 + 0*j**3. Find the third derivative of m(q) wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2517 - 737. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 1505?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 166? (a) 0.5 (b) 9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -4. Let x = 4 + n. Let b = -1 - x. Solve -b*w - 2*w + f + 4 = 0, -4*w = -4*f + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6589606, -6589607, -6589618, -6589645, -6589694, -6589771, -6589882?\n\"Answer: -a**3 + a**2 + 3*a - 6589609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*y - 12 + 43, 4*y = -4*c + 28. Let n(s) = -4*s + y*s - 8 + 7. Let v(i) = i. Let j = 12 + -5. Calculate j*v(g) - 2*n(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 265298818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 1376 + 188. Let v = -196 + 32. Let u = v + g. Is 29 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1952620 and -19\/10325914.\nAnswer: 1755405380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 - -249. Let u be ((-2)\/(-4))\/((-2)\/c). Let h be u\/(-60) - (-1)\/4. Put -5, 3, h in increasing order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -9. Let h be (2 + u)*(-1 + 0). Let w(r) = 2*r**3 + r**2 + r - 2. Let j(d) = -5*d**3 - 2*d**2 - d + 3. Let g(s) = -3*j(s) - 5*w(s). Calculate g(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + d = 34, b - 18 = 3*d - 3. Solve -b*f = -7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 11\/3 (b) 0 (c) 0.4 (d) -1009 (e) -2 (f) 0.2 (g) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (13 - 4 - 19) + 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Let p(y) = 29*y - 25*y + 17*y. Calculate p(k(h)).\nAnswer: 42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 3)\/((-2)\/4). Suppose -70 = -2*i - 3*p, -3*i - v*p + 12 + 94 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 + 38*d + 501. Give y(-9).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q**5 - 90*q**4 + 354*q**3 + 2376*q**2 + 3483*q + 810 = 0 for q.\nAnswer: -3, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k - k)*(2 - 4 + 0)*(12*k**3 - 25*k**3 + 16*k**3).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 14*i + 7. Let z be w(-14). Let m(p) = 6*p + 13. Let y(c) = -4*c - 9. Determine z*y(d) + 5*m(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -40.3944?\nAnswer: 40.1944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97843 by -5.\nAnswer: -97843\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(15\/(-4) - 1). Let c(d) = 29*d - 12. Let u be c(5). What is the greatest common divisor of u and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8056 take away -1721.843?\nAnswer: 9777.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1206, -2233, -3260, -4287?\nAnswer: -5314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2311*l + l**2 - 2245*l + 4548*l.\nAnswer: l*(l - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183996 minus -0.5?\nAnswer: 183996.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**3 - 6*s**2 - 8*s + 2. Suppose -3*j + 7 = g, 4*g - 4*j - j = -40. Let c(h) = -4*h**3 - 5*h**2 - 7*h + 2. Calculate g*r(t) + 6*c(t).\nAnswer: t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -3\/5 (c) 0.4 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 times 0.08476?\nAnswer: -39.24388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -361574640 rounded to the nearest one million?\nAnswer: -362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362856 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29752 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9 = -c + 7, -c = -2*w - 22. Let p = c - 16. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 57141186 and 57141193 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 5*j - 19, 4*j = -3*k + 29. Let x = k + 6. List the prime factors of (-6)\/x + (-42)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030300405 to 7 decimal places.\nAnswer: -0.000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + f + 32 = 0, 5*x - 16 = -3*f + 8. Let l = 7 - 3. What is the smallest common multiple of l and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1471000 to the nearest 10000.\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 3443. Let c(o) = -o - 1720. Determine 5*c(s) + 2*x(s).\nAnswer: -s - 1714","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246*s**2 - 241*s**2 - 206*s**3 + 488*s**2 to h*s + t + o*s**2 + v*s**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 266*(-1)\/(-182)*13\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20890 is divided by 125.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6600 (base 8) in base 6?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17.0253 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Let r(p) = 353*p - 1. What is a(r(x))?\nAnswer: 353*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 14*l + 188 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -42?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*m - 132*m + 17*m)*(0 - 1 + 7)*(4 - m**2 - 4) - 4*m - 2*m**3 + 4*m to f + u*m**2 + i*m**3 + t*m and give i.\nAnswer: 862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r**3 + 8*r**2 - 9*r - 3. Let q = 3 + -1. Let h(c) = 4*c**3 + 4*c**2 - 4*c - 2. Let k(m) = q*f(m) - 5*h(m). Solve k(u) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/225)\/(2*7\/(-90))*-14\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 240277 a multiple of 496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133350 divided by -3?\nAnswer: -1133350\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {d: 9, e: 2, n: 8}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5 - 94*o**4 + 968*o**3 + 4936*o**2 + 5280*o = 0. Calculate o.\nAnswer: -55, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.6 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 - 147 - (1 + -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 8 = 3*c - 0*c, -4*t = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.339232275 to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -270.705 times -20\nAnswer: 5414.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17284062 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 2 + 2\/3*i**3 - i + 1\/2*i**2. Give n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4197 (b) 3\/2 (c) -2 (d) 2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - ((-1620)\/95 + (-139 - -130))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8709155 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7 - 192\/7*b**2 + 174\/7*b.\nAnswer: -6*(b - 1)*(32*b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 157.04 (b) 4 (c) 0.3 (d) -0.2 (e) 15 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from muuuummmuumuuumuumu.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 29. Suppose a - w = 5. Suppose 0*x + x + a = 0. Which is smaller: x or -16?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -42, 1\/9, 0.4, -0.1, -2.1, -47\/49?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 9:24 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 12 = 13, 2*f = 4*g - 1878. List the prime factors of g.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 54 = -3*i, -4*h + 4*i + 1 - 105 = 0. Let v = 48 + -17. Let o = v + h. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3cb - 4?\nAnswer: -3d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183 - 912\/5. Suppose 0 = -2*n + 47 - 127. Let t be (-5)\/(-3)*(-30)\/n. Sort l, t, 5.\nAnswer: l, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2770748 smaller than -2770773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r - r + 24*r**2 - 2 - 25*r**2. Let w(f) = -28*f + 243. Let b be w(9). Give d(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 1644?\nAnswer: -1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 3\/11 (b) -4 (c) -20 (d) 4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504 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: Let j(u) = 6*u**2 - 3*u - 5*u - 2*u. Let c be (-212)\/21 + 12\/126. Let n(p) = 2*p**2 - 3*p. Give c*n(h) + 3*j(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 2518.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(15\/(-9))\/(-5). Let m be 2 + 4\/4 - p. Suppose 5*l + 15 = -2*z, -2*l - 3 - 3 = -m*z. Solve z = d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*5\/((-60)\/(-8)). Suppose 3*h - 4 = h + i*q, -4*q - 22 = -5*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -221*o**6\/20 + 629*o**3\/6 - 33*o**2 + 7. Differentiate v(r) with respect to r.\nAnswer: -3978*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 9*k**5 + 2163*k**4 + 25518*k**3 + 47868*k**2 - 2856*k - 27360 = 0. Calculate k.\nAnswer: -228, -10, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/8 - 1\/(-4). Suppose 0 = 2*j + 2*n - 48, 2*n + 2*n + 79 = a*j. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/57, -1\/50, 15, -0.5, -3\/4?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*h - 2024 = -2016, -3*h = -4*m - 17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -481 not equal to -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 11*n - 3. Let s be (-32)\/208 + 2422\/26. Let w = s - 84. What is u(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let j(d) = -875*d**2 - 210*d. Let k(f) = 4*f**2 + f. Let w(m) = j(m) + 210*k(m). Determine w(y(s)).\nAnswer: -140*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 6 + (434\/7 - 6). Calculate the greatest common divisor of w and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 1046*y + y**2 - 5 - 483*y - 4 - 563*y.\nAnswer: y**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571751679.\nAnswer: 3, 173, 1101641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1398, 5401, 12072, 21411, 33418, 48093, 65436?\n\"Answer: 1334*v**2 + v + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 f, and 1 o when four letters picked without replacement from orfeortotbtofoo.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4306, -17230, -38762, -68896, -107626, -154946, -210850, -275332?\nAnswer: -348386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -2*o**7\/175 + o**6\/40 - o**5\/100 + 54*o**2. Let a(x) = 0. Calculate x.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3929426353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**4\/24 - 5*h**3\/6 - 3407*h**2. Let b(f) = 2*f**2 + 2*f + 1. Let x be b(-2). Let q be (x - 3)*10\/(-4). Give a(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)*l)**(9\/4)\/(l\/(l\/(l*l**(-1\/2))))**(-28))\/((l*(l**(-1)*l)\/l*l)**(-48))**(-22) assuming l is positive.\nAnswer: l**(-8327\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6*s - 1 = 11*s, 4*f + s = -9. Suppose -8*k = -2*k + 18. Let m be -10*(3\/(-6) - 0). Sort f, 0, k, m in descending order.\nAnswer: m, 0, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -12. Let m be (-3 - -2) + -1 + 1. What is the remainder when 0\/(1\/m) - -38 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 3*t + 27. Calculate s(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**6\/120 + 11*u**5\/60 + 31*u**4\/24 + u**3\/2 + 3*u**2. List the prime factors of x(13).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -0.02495\nAnswer: 3.97505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 572.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297\/(-63) - (-1 - 45\/(-35)) - -12947.\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 8c91?\nAnswer: -8c8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1612*o + 5441. What is l(-3)?\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 + 7*s**2 + 3 - 11*s**2)*(1 + 3 - 2)*(-2*s - 5 + 5).\nAnswer: -8*s**3 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223639 = 78*a + 80119. Is a a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 13040031214?\nAnswer: 13040031222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57464 and 5224?\nAnswer: 57464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 2:16 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1\/(-4)*3)\/((-110)\/(-880)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minus 77587737926821?\nAnswer: -77587737926807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*j**4*q + 2*j**4 - j**2*q + 12*j*q + j - 2*q wrt j.\nAnswer: -288*j**2*q + 24*j**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*i - 5 - 7, 4*i = z - 11. Let y be 0\/(-2 + 1 - 1). Suppose -o + y = -z. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*o**2 - o**2 + 285*o - 4 - 2*o**3 - 2*o**3 - 297*o.\nAnswer: -4*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/14)\/r*r)\/(r*(r\/r**6)\/r))\/(r**(-11\/5)\/(r\/(r*r**(-1\/17)*r))) assuming r is positive.\nAnswer: r**(7193\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/35 + 0)\/(2\/(-5)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4642 at most 4640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 15) to base 8.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -20*d**2. Let h(y) = -18*y - 36. Let l(b) = 7*b + 15. Suppose 0 = 2*f + 4*q - 16, 3*f - f + q - 22 = 0. Let t(p) = f*l(p) + 5*h(p). Give i(t(k)).\nAnswer: -720*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258 divided by -2?\nAnswer: -629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 1:23 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98.3 + 98. Let o = 0 + 0. Which is the second smallest value? (a) o (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from mksmmmmmmfsfkmsfmmff?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33367124 by 6.\nAnswer: -16683562\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2625)\/25*(2 - 7). Let o = s - 522. What is the highest common factor of 102 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:38 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 11 + 4*w**2)*(122 + 0 + 59 + 75 + 75) in the form v*w**2 + y + t*w and give v.\nAnswer: 1324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -68357100 to the nearest one million.\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.554 and -7.\nAnswer: 87.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/17, 4, 0.2, 5\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1791*l**2 - 2154*l**2 + 2 + 215*l**2 - 2 as f + o*l + y*l**2 and give y.\nAnswer: -3730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from gytohtggoptt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**4 + 11*u**3 + u - 11. Let f(t) = 33*t**3 - 27*t**3 - 1 - 1 + t - 4. Let k(r) = -6*b(r) + 11*f(r). What is the second derivative of k(y) wrt y?\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 7*g**2 + 5*g - 3. Let x be 2\/13 - 106\/13. Let v(a) = -a**2 - 7*a. Let i be v(x). Is u(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l + 3 = 0. Suppose -3*q + 47 = -4*z + l*z, 0 = -2*q - 2*z + 26. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 27, -2, -0.3, -1\/5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15443 divided by 42029?\nAnswer: -15443\/42029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwjwywpyppz. What is prob of sequence wy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -20*g**2 + 10*g - 6. Let d(q) = -685 + 1377 - q - 691 + 5*q + 4*q**2 - 6*q. Let o be ((-2)\/(-3))\/(2\/(-6)). What is o*c(n) - 11*d(n)?\nAnswer: -4*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 4*t + 1. Let y be f(3). Let w(b) be the first derivative of 20*b**2 + 24*b + 94. What are the prime factors of w(y)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -1 (c) 2\/13147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100011010100011011 (base 2) in base 16?\nAnswer: 12351b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -11*b - 8. Suppose 0 = -4*s - 44 - 16. Let q be o(s). Does 16 divide (q + 7 + -4)*4\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/27*(-51)\/68)\/((-1)\/(-9)). Let c(r) = -2*r**2 - 4*r - 2. Calculate c(o).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 3*v - 3. Suppose 6 = a + 4*s, -1 = 2*a + 3*s - 3. Let g(m) = -2*m**2 + 7*m + 7. Let b(i) = a*g(i) - 5*p(i). Give b(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2 + 2*v + 3. Let o be w(-1). Solve -2*h + h + o*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 212\/44 - 5 - (-35)\/11. Suppose -4*r + h*s + 37 = 0, -3*r + 4*s + 25 = -8. Let v = 25 - -10. What is the highest common divisor of r and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 302*g**2 - 12*g + 1280. Let m(q) = 303*q**2 - 10*q + 1276. Let u(k) = -6*m(k) + 5*x(k). Find the first derivative of u(y) wrt y.\nAnswer: -616*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 44*m - 3686. Determine w(87).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -1.1. Let h = 0.7 + l. Let p be (-8)\/(-192)*-4*-3. What is the smallest value in h, -3, p, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -10.99999994. Round g to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -2\/3*z**3 - 2*z**2 + 0*z + 0 + 1\/4*z**4. What is the first derivative of s(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**3\/7 - 3002*a**2\/7 - 275418*a\/7 = 0?\nAnswer: -1287\/2, -107, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) + -6*(sqrt(280) + 2*sqrt(280)))\/(sqrt(5) + sqrt(25)\/sqrt(80)))\/(sqrt(8) - -4*sqrt(72) - sqrt(968)*2).\nAnswer: 68*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*l, 2*l + 19 = -5*p - 0*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -4*b. Let j be -1 + b + 0\/(-3). Let a be (j - 0)*(8 + -2). Solve -2 = 4*o + a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1341*j = 1346*j + 40, -4*g - 4*j = 28 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 22, -5 in descending order.\nAnswer: 22, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-35))\/((-2)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f**(-13)\/f)\/f*f*f**9)**(-43))**(2\/23))**34 assuming f is positive.\nAnswer: f**(11696\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33031 + 0?\nAnswer: 33031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r - 28. Let i = r - -14. Suppose -2*t = -i*t + 254. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaaayy. What is prob of picking 2 a and 1 y?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 21 = 63*r - 60*r, 3*z + r - 9 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1528, -1782, -2210, -2812, -3588, -4538?\n\"Answer: -87*g**2 + 7*g - 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -76*y**3 + 7*y**2 + 288*y - 7. Let j(v) = -43*v**3 + 4*v**2 + 144*v - 4. Give 7*j(l) - 4*n(l).\nAnswer: 3*l**3 - 144*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 6*g)*(2*g - 6*g**2 - g**2 - 5*g).\nAnswer: -42*g**3 - 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1 (b) 1 (c) -1\/3 (d) 1\/2 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 242, -441, -1124, -1807?\n\"Answer: -683*h + 925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (24\/105)\/((-3)\/((-45)\/6))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -256356 divided by -21363?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 861 - 468. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 15 + 1. Suppose 55 = 9*d - n. Solve 2*g + 2*s = -g - d, g = 3*s - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 104, 0.3, 74, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2108*p**2*s - 2*p**2 + 2*p*s - 13*p - 2*s + 3 with respect to s.\nAnswer: -2108*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 5. Let l be x(-5). Let y(f) = -f**3 + 5*f**2 - 2. Let w be y(5). Let j = -2796\/209 + 146\/11. What is the nearest to l in w, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -4*b + 2*j - 137, 130 = 5*b - 5*j. Find the third derivative of b*t**2 - 9*t**5 - 2*t**5 - 41*t**2 wrt t.\nAnswer: -660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 10*z**2 + 13*z - 10. Calculate j(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = 0, -3*v - 4 = -t - 3*t. Suppose 0 = 5*w + t - 59. What is the highest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0684, 0.5, -2 in decreasing order.\nAnswer: 0.5, 0.0684, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 38255 = -16*t. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128224166*c**4 - 3*c**2 - 61*c - 25502 wrt c.\nAnswer: 3077379984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.3, -2\/21, -0.1, -2, -3\/3061?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - h - 84 + 45 = h - 0*x - 5*x - 39, 0 = 4*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -43\/7, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {n: 2, o: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**4\/4 + 5*r**3\/3 + 2*r**2 + 6*r + 33. Let m(z) = 32*z - 314. Let j be m(10). Give k(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 204*d + 11. Let g(k) = -41*k - 2. Give 11*g(z) + 2*y(z).\nAnswer: -43*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40170 by -390.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**2\/2 - 1. Let i(h) be the first derivative of -2 + 0*h - 1\/2*h**2. What is p(i(k))?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26021352 divided by -147.\nAnswer: 177016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z + 2*z**4)*(5 - 3 - 3) + 0*z**4 + z**4 + 0*z**4 + 0*z**4 - 5*z**4 - 3*z**4.\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3408093 and 1287?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16147.9602 and -0.3.\nAnswer: 16147.6602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -71*s**5\/120 + 11*s**4\/24 - 76*s**3\/3 - 10. Let n(c) be the third derivative of k(c). Differentiate n(a) wrt a.\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s - 99. Let d be h(10). Let m = 4.42 + -0.42. What is the third biggest value in d, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 117 = 5*n, 0*n = 5*x - 4*n - 158. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/15 - 2242*u\/3 - 1007960.\nAnswer: -2*(u + 2260)*(u + 3345)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 16 = 2*v - 0*r, r + 23 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 1293. Let k(v) be the first derivative of -v**3\/3 + 775. Give r(k(p)).\nAnswer: 2*p**2 + 1293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5 (c) 6 (d) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dad when three letters picked without replacement from {n: 1, d: 2, b: 2, e: 1, a: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/(-40)*15\/(-9). Let y(t) = t**a - 1 - 898*t + 1791*t - 890*t. Let u be 2\/9 + 58\/(-18). Give y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 5792.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 91. Solve v*j + 10 = l, 5*j + 0*j + 10 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c4 (base 14) in base 2?\nAnswer: 1110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 - (-4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -134005.\nAnswer: -134010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 2\/13, -2\/13 in decreasing order.\nAnswer: 2\/13, 0.01, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.33252*-205\nAnswer: 68.1666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 - 5*f**4 - f**3 + 17*f**2 + 22*f + 8.\nAnswer: -(f - 2)*(f + 1)**3*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/7917 and 95\/1508?\nAnswer: 31668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s + 15. Let y be ((-528)\/96 - 2\/4) + 12. Let c(o) = 7 + 13*o - 2*o - 3*o. What is y*l(i) - 13*c(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 20 = 0, 2*t - 510617 - 140715 = -4*i. Let z = t + -195161. Let x = -203497 + z. What is x rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 + 156.4. Let p = -32.67 + h. What is p rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 26, -23, -100, -211, -362, -559, -808?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70019, 133601, 197183?\n\"Answer: 63582*v + 6437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let b(g) = 16*g. Let w(q) = b(q) - 12*x(q). Let p be w(3). Suppose 0 = 3*m - 9 - p. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26 times 120.278?\nAnswer: -151.55028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4553434 + 2?\nAnswer: -4553432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1324, 0.\nAnswer: -1324, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-8)*t)\/t*t**(-2)*(t*t\/((t*t*t*t**(-3)*t*t)\/t))**14)**(-1\/19))**37 assuming t is positive.\nAnswer: t**(-148\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaxa when four letters picked without replacement from xxxaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -474? (a) -5 (b) -53 (c) -2 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-2*sqrt(99) - sqrt(99))*-4)\/(sqrt(36)*3)*4)**2*1.\nAnswer: -2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*f + 6 = 0, -6*j + 5*j + 2*f = -13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/45 and 79\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 106*k - 98. Let d be l(1). Calculate the greatest common factor of d and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 1, s: 2, q: 1, c: 1}. What is prob of picking 1 q and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -266098*c - 20737 wrt c.\nAnswer: -266098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -471104153 take away -8?\nAnswer: -471104145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 308, 465, 622, 779, 936?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(2\/(-28)))\/(4\/(-28)*14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -60912463 + -0.3\nAnswer: -60912463.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-95))\/((-3)\/4)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 996*b**4 - 12*b**3 + 6*b**2 - 683. Let r(h) = 4*h**4 - 2*h**3 + h**2 - 2. Let x(v) = 6*r(v) - z(v). Differentiate x(w) with respect to w.\nAnswer: -3888*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1113 - -1747. What are the prime factors of g?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/39)\/f)\/f**(3\/16))**(18\/11) assuming f is positive.\nAnswer: f**(-2127\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**4\/24 - 3*n**2. Let r(f) = -2*f + 1. Let q(s) = 6*r(s) + 14*u(s). What is the derivative of q(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 25 - 50 = 0. What is the remainder when 58 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482531333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047095 to 5 decimal places.\nAnswer: 0.00471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((70\/(-7))\/(24\/(-18)))\/((-27)\/72)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfo when three letters picked without replacement from jgryforjy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6179*j = -6138*j - 123 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 2. Calculate the remainder when 93\/9*(-2 + 5) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*f - 28. Suppose p - f = -4. Suppose -492 = -4*x + 4*v, 3*x + p*v - 4*v - 369 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(135))\/(sqrt(36)\/sqrt(108))*6.\nAnswer: 162*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1117696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/19)\/b**7)\/(b\/(b*(b*b\/((b*(b**1\/b)\/b*b)\/b)*b*b)\/b))**(-6\/7) assuming b is positive.\nAnswer: b**(-1252\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -1154?\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33443 (base 5) to base 14.\nAnswer: c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 11:47 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -112842161 from 0.46.\nAnswer: 112842161.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 115320719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4324 and -101\/92?\nAnswer: 4324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -80, -125, -198, -305, -452?\n\"Answer: -z**3 - 5*z**2 - z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from bbbbebbeebbb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-418)\/(-156) - 28\/(-182). Let j = u - 5\/2. Let m be 5\/2*(-31)\/(-155). Which is the second biggest value? (a) 0.2 (b) j (c) -3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -9*z - 54*z. Factor 2\/3*c**2 + 0 + 14\/3*c**4 + 0*c + 2*c**z + 10\/3*c**3.\nAnswer: 2*c**2*(c + 1)**2*(3*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {m: 7, i: 3, k: 5, g: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -1482 (c) -5 (d) 0.4 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505073*v + 5*b - 75 = -505073*v, -b = -4*v - 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 58.44294 years?\nAnswer: 701.31528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6070*r**2. Let a(c) be the third derivative of -c**4\/8 + 12985*c**2. What is a(s(g))?\nAnswer: 18210*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 3*n + 1. Let l(y) = y**2 + 4*y. Let d(j) = 3*f(j) - 2*l(j). Suppose x - 5 + 3 = 0, 3*x = 5*a + 6. Let b be a\/((-3)\/((-3)\/(-4))). What is d(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3258442057.\nAnswer: 13, 683, 366983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 2532*w + 25210. Calculate g(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, o: 1, l: 9}. What is prob of picking 3 w and 1 l?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00403642842 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93116*c - 48 = -93120*c - 3*b, -4*c + 4*b - 92 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 518397762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12717677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133300 (base 7) to base 16.\nAnswer: 6262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 3:16 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*f = -1997994 + 1972409 for f.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -x + 5*w, 0 = 2*x - 845*w + 844*w - 19. Sort -62, 5, x in decreasing order.\nAnswer: x, 5, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13028630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109 - 41 + 49)*(-3 - 3 + 5)*(r + 0*r - 3*r).\nAnswer: -202*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -4*r**3\/3 - 233. Let x(b) = 18*b. Determine z(x(w)).\nAnswer: -1296*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 - 150. Put 4, 3, d, -3 in increasing order.\nAnswer: -3, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 189 = -3*f + 799, f - 3050 = -5*n. Let w = n + -284. Suppose -x = -5*b - 86, -5*x - 4 = 2*b - w. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95776504 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123509?\nAnswer: 113, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.9234521 weeks?\nAnswer: 155.1399528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*f - 37*f + 17*f - 38*f - 15*f in the form j + w*f and give w.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*l - 2, -3*t = t - 4*l. Suppose b - 7 + t = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*w - 423 = 2*x, -w = -3*x + 1241. What is the remainder when x is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 - -1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120\/234347 or -1?\nAnswer: 120\/234347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5984*k**3 + 2*k**2 + 615*k + 2?\nAnswer: 35904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36791 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from karuaararrkrauraduru. What is prob of picking 1 u and 1 d?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1486 + 1641. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -135677 and 0.08?\nAnswer: 135677.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - -15. Let u be (5 - 3)\/(2\/p). Find the third derivative of -5*o**2 - 48*o**3 + 92*o**3 - u*o**3 + 12*o**4 wrt o.\nAnswer: 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -236698, -473389, -710080, -946771, -1183462, -1420153?\n\"Answer: -236691*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Let b(z) = -5*z + k - 3. Let u be b(-1). Let x(l) = -l**3 + 6*l**2 - 5*l + 6. Give x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -57.1. What is the third biggest value in a, -0.9, 3\/2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -10 (c) -0.1 (d) 3 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 0.033 (b) -2\/5 (c) -1 (d) 3 (e) -13\/113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + ((2*sqrt(1331))**2 - sqrt(1331)) - (sqrt(121) - 1*sqrt(121))\/sqrt(11).\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 4*z = 29, 3*y - 3 = z + 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -t + 11, -3*t + 4*c - 4 - 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -17) + (21 - -82). Let v = -11 - 53. Let f = v + x. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmqhqtttqyqthtmtmqu. What is prob of picking 2 q?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 9 - 21. Solve -p - 5 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54461628 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(sqrt(50)\/(sqrt(5) + sqrt(45)))\/(sqrt(160)\/sqrt(2)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 at most -219\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) 109 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 20*u**2 + 2*u - 48. Give p(20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -2, 4 in decreasing order.\nAnswer: 24, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 15. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 7*p + 6. Let a be v(6). Let s = a - -5. Let n = s + 9. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 20 = -3*p, 2*m = 61*p - 57*p - 8. Sort 9, -3, p, -5, 1.\nAnswer: -5, -3, p, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/14 and 73\/162.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from vppplkllvlgvplvp.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -990 (base 11) to base 2.\nAnswer: -10010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 - 2*l. Let s be j(0). Suppose 4*z - 5*b + b - 1904 = s, -5*z + 2*b + 2377 = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -24 + -8 + (1 - -13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgfbggcbfgcfffbf. Give prob of sequence bgc.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3684 - -3974. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14*q**2 - 20*q + 25. Let p(o) = 3*o**2 - 4. Let k(a) = m(a) + 5*p(a). Give k(21).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 13) to base 4\nAnswer: -3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3398539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -29*k + 34*k + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 - (1 - 2). Suppose 3*g - 3*r + l*r - 83 = 0, 4*r + 116 = 4*g. Let a = g - -2. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 smaller than 555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/25 in 0.7, 1\/9, 1\/3, -1.9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 170\/7 + (-4)\/14. Suppose -4*p + 3*u - 1 + 17 = 0, j = 4*p - 5*u. Solve p + 5 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 8890067.472.\nAnswer: 8890064.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-500)\/(-6))\/(17\/51). Does 21 divide l\/(-12) + (-2)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 349, 355, 359, 361, 361, 359?\n\"Answer: -m**2 + 9*m + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from ipgpiii?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. Let i(w) = 3*w - 5. What is -2*i(b) - 6*k(b)?\nAnswer: 6*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2982, 3006, 3052, 3126, 3234, 3382, 3576?\n\"Answer: y**3 + 5*y**2 + 2*y + 2974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97780137 divided by 133.\nAnswer: -735189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 188620\nAnswer: -17\/188620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73166 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003982371 rounded to 4 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 5*k - 2*k + (-k + 3*k - k)*(2 - 3 + 2) + 0*k - 2*k + 2 + 0.\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 3\/10, 9, 69, 2, 5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 - 110100101001010?\nAnswer: -110100100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 12 = -23*j. Let n(t) = 3*t + 24. What is the remainder when n(-6) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*i - 23*i - 13144 = -11376 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84805, -84799, -84779, -84739, -84673, -84575, -84439, -84259?\nAnswer: -84029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140 + 24 - 32)*(-6*g + 9*g - 25*g)*(1 - 1 - 1).\nAnswer: -3256*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:22 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 8. Calculate the greatest common factor of l and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12525*s**3 - 12527*s**3 - 2*s**4 - 2*s - 4*s**2 + s as t*s**4 + g*s + v*s**3 + x + q*s**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 42 = -a + 31, -4*p - 39 = -9*a - 3*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320 divided by 5?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 3) to base 12\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8*z = 316. Suppose 48 = -z*w + 83*w. Solve -b + 5*b = -2*r - w, -30 = -5*r + 2*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 25 = 3*p + 7*v, v = 2. Let c(u) = 6*u**2 + 6*u + 3. Let g(f) = -13*f**2 - 13*f - 7. Calculate p*c(m) - 4*g(m).\nAnswer: -2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2939\/24 - -695\/6. Let u be (44\/(-10))\/((-9)\/(-45)). What is the common denominator of (-13)\/(-3)*(-3)\/u and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((0 - 17) + 317 + -344).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 9*y - 11. Solve -5*m - c - 30 = 2*c, 0 = y*m + 5*c + 37 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1372 and 2184.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 11*g**2 + 10*g + 7. What is r(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s = 10. Let b(p) = -p**2 - 3*p + 3. What is b(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 23340?\nAnswer: -23331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2401)*1*5 - -5*(2*sqrt(2401) - sqrt(2401)))\/(2*(sqrt(175) + 6*sqrt(175)*-1)))**2.\nAnswer: 343\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*((-300)\/8)\/25?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcf when three letters picked without replacement from fcccff?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 103. What is the derivative of -i + 42*j**4 + 2 - 13*j**4 wrt j?\nAnswer: 116*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206854777 to the power of 1\/3, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d. Let l(s) = 8508*s. What is l(a(r))?\nAnswer: 34032*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1240*k**2 - 1 - 532*k**2 + 79*k**2.\nAnswer: -1693*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 9*i**2 + 12*i - 11. Let a be q(10). Suppose -2*r + 2*m = -m + 13, 3*m - a = 0. Let x = 81 - 80.5. What is the closest to 0.1 in -0.4, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 17*k - 20. Let l be d(13). Find the common denominator of 67\/10 and (l\/(-6))\/(2\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*o**3 - 18*o + 471.\nAnswer: 72*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v\/((v*v\/(v*v*v**(-22)))\/v))\/v)\/(v*v\/v**(-3)*v*v) assuming v is positive.\nAnswer: v**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/36)\/(4*(-3)\/1530) and 7\/82.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215879 is divided by 173.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0*(-3)\/9) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 14800.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, 22, -2, -1.2, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (3\/(-2))\/(-3)*20 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0806 and -0.05.\nAnswer: -0.1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -461828 or -461949?\nAnswer: -461949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62147 divided by -802.\nAnswer: -62147\/802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/3, -6346, 1\/4, -622 in descending order.\nAnswer: 1\/4, -0.1, -1\/3, -622, -6346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2\/2 - 4248*j + 3001440 = 0. Calculate j.\nAnswer: 1352, 1480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 22, 0.00397, 11\/2, -3, 0.2?\nAnswer: 0.00397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2892822 and 474.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 17793697?\nAnswer: 1245558.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*f = 55, f - 4*f = 15. Let i be (8 + 1)\/(15\/w). Sort 2, 3, i in increasing order.\nAnswer: 2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 1259.7354?\nAnswer: 1263.7354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2840 divided by -4\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*b + b. Suppose -b*q + 7*q = 0. Which is bigger: 3\/31 or q?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -285 + 430. Let z = -25 + w. Calculate the highest common divisor of z and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*((-2254)\/70 - -18). Solve 25*i - 92 = o*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123 (base 4) in base 5?\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 2. Let z be -7*(-18)\/72*-4. Let c(s) = -4. Let m(v) = -13 - v**2 + 10*v - 9*v + 2*v**2. Give k*m(l) + z*c(l).\nAnswer: 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 81781?\nAnswer: -81775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/2517 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133 - 2235 - 784 - 6*j + 2*j to f*j + r and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 3*k**4 + 3*k**4 + 1 + k**4 - 1 + (-2*k**3 + 19*k**3 - 2*k**3)*(0*k + k + k).\nAnswer: 34*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-12 - (-39 + 44 + -1 + -5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-4 - -1)) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyb when three letters picked without replacement from bchccyccchbyhcb?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 3. Let m be r(-3). Let l(k) be the first derivative of -2\/3*k**3 + 2 + 2\/5*k**5 + 0*k + 0*k**2 + m*k**4. Find the third derivative of l(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 20*y**2 - 12*y + 27. Determine p(-21).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -5)*(-379)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 68*m - 32323. Calculate k(-216).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*f - 157*f - 9*f to the form o*f + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183159719*i**3*x - 21*i**2*x - 2*i**2 - i*x + 1281*i + 19*x + 1 wrt i.\nAnswer: 1098958314*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:13 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*4\/8*-2. Suppose -y = o*y - 160. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 35*x**2 + 149*x + 54 = 0?\nAnswer: -27\/7, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148 and 4840.\nAnswer: 179080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9 - 1 = 0. Let h be 1 - -2*1\/y. Let k = 1 + 0. Solve -k = h*l + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/3 - -2 - 1. Let z = j + -8. Let u be -1 + -4 + -4 + 4. Sort 4, u, z in descending order.\nAnswer: 4, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g = -v + 5, 1 = -g + 3*v. Suppose 6*a - 2*a + 8 = 4*u, -u + 4 = -g*a. Let b = 29 - 24. Sort 3, b, a, 0.\nAnswer: a, 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24028106 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 2102110?\nAnswer: 2102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 1, z: 2, f: 3, d: 3, c: 4}. What is prob of sequence cc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818913*w**2 - 16*w**3 + 818913*w**2.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 99\/189 - 1\/(-7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/14)\/((g*g**(1\/7)\/g)\/g))**(-8\/15) assuming g is positive.\nAnswer: g**(-44\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w - 26*w + 61*w**2 + 21*w - 23 wrt w.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 798, -14 in ascending order.\nAnswer: -14, -4, 798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (8\/(-10))\/((-33)\/(-15) - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65.8 - 3149079.\nAnswer: -3149013.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12924 + 2158.\nAnswer: 2158.12924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.843 rounded to two dps?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 5 - 6 + 13 - 3*a. Let x be b(10). Find the third derivative of -3*r**2 - r**x + 3*r**3 + r**2 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*m**3 + 14*m**3 + m - 3*m + 2*m.\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 203690 * -3.\nAnswer: -611070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20221423 (base 5) to base 9.\nAnswer: 268848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-15))\/(n*n**(-4\/5))*(n**(-12)\/n)\/n**(2\/29) assuming n is positive.\nAnswer: n**(-3954\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -862, -3424, -7686, -13648, -21310?\nAnswer: -30672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8*i. What is the first derivative of -5 + i*v**4 + v**4 - 9*v**4 wrt v?\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183585 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7745.8175 or 0.02?\nAnswer: -7745.8175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m)\/m)**(-3\/2)*m*m\/m**(3\/4)*m\/(m\/(m*m\/m**5*m)) assuming m is positive.\nAnswer: m**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545417570 to the power of 1\/3, to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 14*k**2 + 7*k + 7. Let z(x) = 20*x**2 + 10*x + 11. Give -8*u(o) + 5*z(o).\nAnswer: -12*o**2 - 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 408, 611, 898, 1269, 1724?\nAnswer: 2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 4. Suppose 4*z - n + 3*n - 20 = 0, 3*n = -z. What is l(z)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/7)*s**(1\/3)\/s*s\/s**4*s\/s**(1\/9))**7)**(3\/5) assuming s is positive.\nAnswer: s**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.52 - -9.8. Let n = v + -0.28. Do 2\/3 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 426 and 192?\nAnswer: 13632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 21 + 14*q + 16*q + q**2 - 2 - 18*q. Suppose 5*x - 362 = 103. Calculate the remainder when x is divided by r(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/1740443 and 35\/222.\nAnswer: 10442658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = -4*f. Suppose 4*y - j = y + f, 0 = 2*y - j - 2. Which is the smallest value? (a) -4 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 5:57 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 7*q**2 - 9*q - 3. What is o(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 211476860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -45*m + 132. Let t be f(0). Solve -127*h + t*h = 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*z + 116 = 0, -y - 5*z = -3*z - 28. Let p = y + 39. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.369 less than 33?\nAnswer: 29.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 128*p**5\/9 - 54112*p**4\/9 + 5358178*p**3\/9 + 75876058*p**2\/9 + 111933136*p\/3 + 54009760 = 0.\nAnswer: -5, -4, 1743\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/8 + (-1)\/4. Let r be (1912\/(-4302))\/(2\/(-9)). Solve -y = -x*y - r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68675*s**2 - 136733*s**2 + 68801*s**2 + 2 + 4*s.\nAnswer: 743*s**2 + 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42374?\nAnswer: 2, 21187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-839.03.\nAnswer: -6712.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 32 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12959*l + 583 = 12906*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 + -149 + (-1422 - -2)\/(-2) is divided by 148.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-205)\/6970).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5862*r = -3912*r + 488700 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*r**2 - 90*r**2 - 26*r**2)*(-5*r + 12*r + 29*r + (2 - 2 + r)*(0 + 1 + 1)).\nAnswer: -3382*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -357\/10 + 3193\/90. What is the nearest to 1.9 in q, 2\/3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5005\/402 or 11?\nAnswer: 5005\/402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 374059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(-6)\/9 + (-13 - -297520) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**3\/3 - m**2 + 5*m + 1. Let s be b(5). Solve -5*g = -g - s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 5*d - 3. Give s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1, -0.1, -0.0137, -2, 5?\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 1249*f**3\/6 - 326*f - 3. Let l(r) = -3*r. Determine o(l(c)).\nAnswer: -3747*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, w: 16}. What is prob of sequence wg?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 13*b**4\/4 - 1. Let a be ((-12)\/(-24))\/((-3)\/(-6)*1). Is g(a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 3*g**2 + g + 4. Let l be k(-3). Suppose -3*u - 4*a = -21 - 15, -5*u - 5*a = -l. Suppose -4*j = -0 - u. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - 3.6. Let m = 7653 + -7656. What is the fourth biggest value in -0.2, m, g, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58805 or 58744?\nAnswer: 58805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 374.6 + -406. Let p = 30.9 + w. What is the second biggest value in 0.2, p, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 - 1.1. Let m be 378\/(-10) + 4\/(-20). Let w = 73\/2 + m. What is the nearest to -0.1 in w, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*k**2\/2 + 165*k\/2 - 18 = 0.\nAnswer: 12\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3562)\/273 - -13)*18.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 12*w**2 - 6*w - 82. What is y(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00067308719 to seven decimal places.\nAnswer: 0.0006731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -313\/4*j**2 - 237*j - 13\/2*j**3 - 9.\nAnswer: -(j + 6)**2*(26*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p. Let f(h) = h**3 + 8*h**2 + 7*h - 1. Let x be f(-7). Let s be l(x). Suppose -4*w + 2*u = -32, -w + u = 2 - s. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/1459 + -155825\/105048. Calculate the common denominator of m and -4\/43.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1725 = 12*h + 201. Solve -h = 2*z - 137 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41431 or -41432?\nAnswer: -41431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**6\/5 + 5*b**2 - 15*b. What is the derivative of c(o) wrt o?\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (181 - 161)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {k: 4, d: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2004\/(-198) - -10)\/(4\/6). Let d = -8 + 11. Which is the closest to -2\/3? (a) r (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, -2\/11, -6129?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -42303 divided by -59\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 2\/39 (c) -4\/7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -348*j**3 - 246 wrt j.\nAnswer: -1044*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 84*g - 118. Let n be b(63). Is 1205 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) 1\/6 (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, d: 3, k: 2}. Give prob of picking 2 t and 2 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 25*q**2 - 190*q - 4973. Is 62 a factor of f(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 4*i + 11, -i = 4*r + 7 - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11435.\nAnswer: 5, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -676, -3 in ascending order.\nAnswer: -676, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 - (1 - -8). Is 6 a factor of s\/(-14) - (-6656)\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + f**2 - 2*f - 2. Let t be -3 - (3 + (-20)\/4). Let u be m(t). Is (26\/4)\/(u\/(-226)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpmp when four letters picked without replacement from {p: 3, m: 11}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 6 - 42 = -8*h + 59, 2*h + 2*h = -x - 36 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -5, -64, 0 in decreasing order.\nAnswer: 0, -1, -4, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*h + 0 + 103*h - 106*h - 1.\nAnswer: 81*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let z be v(-3). Sort 5, z, -5 in decreasing order.\nAnswer: 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -211e (base 15) to base 6\nAnswer: -52232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5\/5 + 144*m**4\/5 - 522*m**3\/5 - 60*m**2 + 1557*m\/5 + 1188\/5 = 0. What is m?\nAnswer: -1, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/208)\/15*52\/39.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04204499 and -35.\nAnswer: -34.95795501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378860 by 20.\nAnswer: -18943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -18*x + 44*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, -21, 103, -4, -5 in increasing order.\nAnswer: -21, -5, -4, 4, 8, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - i = -0*z - 34, 4*z + 56 = 4*i. Let q = 14 + z. Let y = -16 - -25. What is the remainder when y is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -90.\nAnswer: 11\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -8. Let i(h) = -55*h - 17. Let z(m) = 82*m + 26. Let r(n) = 7*i(n) + 5*z(n). Is r(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/8*(-8)\/7. Let v(l) = 2*l - 3. Let b be v(4). What is the third biggest value in b, s, 7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 + -75. Let r = 46 - 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 -13 + (19 - ((6 - 4 - -7) + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 163 - 3 = -4*d, -5*d = 4*j + 695. Let s = j - -255. What is the highest common divisor of 50 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3 - 37649*k**2 + 9711466*k + 4865145 = 0.\nAnswer: -19079, -1\/2, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -591 + 594. Suppose 4*w + 9 = -5*b, -2 = 11*b - 13*b - g*w. Suppose 6*j - 3*j = 15. Put 3, j, 1, b in decreasing order.\nAnswer: j, 3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from iwddwwwwdwwdd?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, -4, -5, 128, 3, 7, -1 in decreasing order.\nAnswer: 128, 7, 3, -1, -4, -5, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/14616)\/(4\/(-2) + (-7)\/(-4)). What is the nearest to -1 in -5, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-816)\/(-187))*(-12)\/66.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 365*c - 10944 = -58*c for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 0) + -1 + 1. What is the units digit of (r + 3)*13\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaeteqvz. Give prob of sequence aztv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 58*q + 845. Calculate o(32).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 + 0*j**2 - 2*j**2)*(-j**2 - 2*j**3 + j**2) - 3*j**5 + 0*j**5 + 0*j**5.\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -10913453?\nAnswer: -5\/10913453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -665575 (base 8) to base 7.\nAnswer: -1622266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*f + 11 = 6*y, y - 8 = 5*f. Suppose 6*k - 9 = y*k. Factor -h + k + 2*h**2 - 3*h - h**2 + 0*h.\nAnswer: (h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1518 and 36432?\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 + 2*m**2 + 0*m**2)*(3*m + 0*m - m)*(-5*m - 6*m + 19*m).\nAnswer: 112*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749.4478m to millimeters.\nAnswer: 749447.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t**2 - 2*t - 5. Let c(r) = -9*r**2 - 2*r - 6. Let x = -7 + 6. Let b be 10\/(5 + -3)*x. Give b*c(n) + 6*f(n).\nAnswer: -3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*v**3*y**2 + v**3 + 49*v**2 + 396*v*y**3 + 1 wrt y?\nAnswer: -10*v**3*y + 1188*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8701344 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.33 and -81.26?\nAnswer: 81.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2, 11\/9, 562\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -4\/39*z**3 + 0*z**2 + 0 + 1\/78*z**4 + 26*z. Factor q(b).\nAnswer: 2*b*(b - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -18 (b) -10 (c) 1 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 21ad?\nAnswer: -21b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 2:23 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 450\/(-135)*(-18)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/3 + 17560*r**2\/3 + 87769*r\/3 - 35110 = 0. What is r?\nAnswer: -17555, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 3*c + 63. Suppose o - 5*d - 10899995 = 0, c*d = 5*o + 2*d - 54499995. Round o to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -12) + 4 + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.76 = -3\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:04 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/240 - m**4\/96 + m**3\/12 + 9*m**2\/2 + 8*m. Let q(w) be the first derivative of i(w). Suppose q(u) = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*g + 317 - 2902 = 62*g. What is the remainder when 486 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48636*g + 48634*g = 2*m + 10, 2*m - 5*g - 4 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*t**5*w**2 - 4*a*t**2 + a*t - 35*a*w**2 + 792*t**4*w**2 + 2 wrt t.\nAnswer: 120*a*t**2*w**2 + 19008*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, m: 1, s: 1, a: 2, o: 2}. Give prob of picking 1 o and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184a85 (base 11) to base 6.\nAnswer: 10034314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719849071.\nAnswer: 34217, 50263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*r + 8*r + 6*r)*(34 + 22 - 72 + 29) to the form w + m*r and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-950)\/315 - -3). Suppose 2*t - 295 = -w. What is the highest common factor of 29 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11 (b) -0.37 (c) 4 (d) 1\/3 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 687*k + 410 = -5*d - 696*k, -48 = 3*d + k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -2. Suppose 0 = -t + 4*h + 17 + 3, 0 = -t + f*h + 24. Solve -5*l + t*r + 19 = 0, 9*r - 4*r + 17 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 2147588300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 16. Let l be s(-10). Suppose n = -f + l, 5*n - 1 - 2 = 4*f. Suppose -f*t = -3*c - 0*c + 30, 5*c + 5*t - 20 = 0. Is c smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 2:26 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 377?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1394 and 204?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3216 + -1640?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = -4*i + 259. Let p be i - ((-3)\/1 + -202). Suppose -12*s + 2*s = -p. What is the remainder when 125 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213 + 2054444?\nAnswer: 2054231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*c = -136*c + 39. What is the greatest common factor of c and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 1.2 (c) 894351 (d) 2 (e) 0 (f) -2\/9 (g) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 12*f + 1544 = 0. Let v = f + 645. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 0)*(1 - 3). Suppose 0 = v + b*v - 20. Suppose -5*p + 2 = -4*y, v*p = -0*y + 4*y. What is the highest common divisor of y and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - (-168 - -80)) + -140.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(50\/(-46)) + (-4)\/(-10). Solve 0*z - 3*v + 2 = 5*z, -8 = -3*z + c*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-51424995)\/55 - (-2)\/(-22). What is o rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 1 - (-11 + (50 - 56)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77270773.\nAnswer: 41, 47, 40099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95183.14l?\nAnswer: 95183140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 291 - 241. Let z(h) = 2*h - 1. Let b(r) = 3*r - 2. Let x be (-4)\/14 - 40\/7. Give x*b(w) + y*z(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(5\/(22750\/52)*(-14)\/2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 2*n + 4. Let d(u) = u**2 + 1. Let w be d(n). Suppose -2*l = -s - 3*s - 26, 4*l - 2*s = 28. Put l, 4, w in descending order.\nAnswer: l, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**4 + 3032*s**3 + 9228*s**2 - 73168*s + 85232 = 0. Calculate s.\nAnswer: -7, 2, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 391 = 442, 3*t + 26 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 0.2 (b) 7 (c) 2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2\/t*t**1*(t*t*t**1)**(2\/27) assuming t is positive.\nAnswer: t**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.5. Which is the closest to m? (a) 2 (b) -2\/13 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 - 1.5. Let j = g + -1.4. What is the second smallest value in 4\/3, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/4 + 21\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12274001497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -fe2b?\nAnswer: fe22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-55) - 21\/(-5). Suppose -2*b = -a - 0. Suppose -5*v - p - 28 = 0, -4*v = -0*p - p + 17. Sort b, 4, v in decreasing order.\nAnswer: 4, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247025 and 410?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8964 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -5 (c) -0.4 (d) 0.08 (e) 2 (f) -2\/3 (g) -0.0431\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-858)*132\/(-60).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -3 + 132\/4 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1554 = -i + 4*t + 1531, -t = 5*i - 32. Let x(s) = -s + 14. Let w be x(12). Solve i*k - 19 = -4*c + 1, -8 = -w*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 + 42*i**2 + 24*i + 46. Is 22 a factor of r(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0)\/y**(-2\/5))\/(((y\/y**(-2\/5))\/y)\/y)**(-8)*(y\/(y*y**1))\/(y**4\/y)*(y**0*y)**(6\/17) assuming y is positive.\nAnswer: y**(-599\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-5 - 1) + (-47 + 36 - (6 + 0)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7313014 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -62 - (1236 + -1193).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265359 to the power of 1\/2, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78937870 or 78937866?\nAnswer: 78937866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g. Let f(y) = 5*y. Let i(k) = -5*f(k) - 4*u(k). Let j(l) be the second derivative of 0*l**2 + 6*l + 0 + 2\/3*l**3. What is -6*i(d) - 14*j(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/(-5) - 147\/210 - (5 - -16)\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 11*v + 19. Let r be 3\/3*(1 + -2) - 8. What is the units digit of b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 5) in base 13?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 4, i: 6, g: 3, a: 1}. Give prob of sequence ipp.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.015 + -3.015. Do v and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-66))\/((-2)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 3\/8 (c) -29 (d) 0.1 (e) 0.2 (f) 46 (g) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -4\/7 (c) 0.4 (d) 910 (e) -0.69 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -263? (a) 144 (b) -128 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 187420101*y**2 + 516053204*y wrt y?\nAnswer: 374840202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 16*z + 16. Calculate n(-19).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11064573*n**2. Let t(j) = -12*j. Determine t(v(c)).\nAnswer: 132774876*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (511 - 538) + (-2 - -37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226447999 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-3604)\/(-10) + (-6)\/15. Suppose 5*l = 240 + q. Calculate the greatest common factor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Suppose -6*m = -2*d - y*m + 2, -5*d + 3*m = -19. Solve -d*v + 2*v = -12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 15242*c - 15243.\nAnswer: (c - 1)*(c + 15243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 + 8\/3. Let s be ((36\/6)\/(-24))\/(2\/8). Sort s, 5, x in ascending order.\nAnswer: s, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02898612 to 4 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2*f**3 - 2*f**5)*(-4 - 8 - 3)*(-4 + 1 + 4).\nAnswer: 30*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = -0. What are the prime factors of d\/3 + -2*237\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**3 - t**2 + t - 1. Let x be g(1). Let h be (6\/5)\/(1\/x). Suppose -4*m + h*m - 6 = 0. Solve 5*w - 4 = -r + 4, -3 = m*w - 2*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) + 0)*5.\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a - 5*a + 5*a in the form k + q*a and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2156, -2157, -2158, -2159, -2160, -2161?\nAnswer: -2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.37 + -3.35804. What is w rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*q - 156*q + 85*q - 34*q - 153*q.\nAnswer: -360*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-4) + 1)\/1. Which is the biggest value? (a) 1 (b) 3\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 386 - -4379?\nAnswer: 4765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*o = 214*o + 2*d + 31, -4*d - 20 = -4*o. Put 15, -17, o, 0 in increasing order.\nAnswer: -17, o, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**7\/84 + o**6\/45 + 11*o**5\/60 + o**4\/6 + o**3\/6 - 11*o**2 - 39*o. Let d(c) be the second derivative of j(c). Factor d(n).\nAnswer: -2*(n - 2)*(n + 1)*(5*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 39877 divided by -1\nAnswer: -39877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3658767, -7317510, -10976239, -14634948, -18293631?\n\"Answer: z**3 + z**2 - 3658753*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 1, 424, 91 in descending order.\nAnswer: 424, 91, 31, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009699 minus -3?\nAnswer: -1009696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1572172830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(7) - (-1 + sqrt(28)))*-6 + ((sqrt(70) - (sqrt(70) - sqrt(70)*2))\/sqrt(5))\/sqrt(2))**2.\nAnswer: -480*sqrt(7) + 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j**3 + 3*j**2 - 15*j - 3. Let r(t) = -2*t**3 - t**2 - 2*t + 1. Determine -n(g) - 3*r(g).\nAnswer: -4*g**3 + 21*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -57, -82, -107, -126?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 2, l: 1, g: 2, m: 2}. Give prob of picking 1 m, 1 g, and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 2340*i - 4683\/2.\nAnswer: 3*(i - 1561)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15\/(-5) + 10933 - (5 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -472, -940, -1398, -1840, -2260, -2652?\nAnswer: -3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.592195 nanoseconds to seconds.\nAnswer: 0.000000006592195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/609 + (-107)\/(-21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 - 2 + 5*k + (-2 - k + 2)*(-1 + 3 - 5) to the form c*k + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 688, 1\/4, -0.5 in decreasing order.\nAnswer: 688, 1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 6470850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 2 + 3 + 0. Suppose r*v - 5*z - 3 = v, 5*v - 15 = 5*z. Solve t = -v*t - 16, 0 = -5*p - 4*t - 41 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -85429145 take away 4932531?\nAnswer: -90361676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 - 5 = 0. What is the derivative of -7 + j - 3*t + 4*t wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 26 + 3*r + 8.\nAnswer: -2*r + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h + 2*y, 2*h + 0 + 9 = -3*y. Let l(w) be the third derivative of -1\/6*w**3 + h - w**2 + 1\/6*w**4 + 0*w + 1\/60*w**5. What is l(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -34968.709.\nAnswer: -139874.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20082 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {d: 2, k: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (875*m**2 + 400*m**2 + 224*m**2)*(2*m + 2*m - 3*m) as k*m + o*m**3 + p*m**2 + g and give o.\nAnswer: 1499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**2 - p + 4. Calculate the remainder when m(2) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/462*174\/(-8). Let r = 4\/7 - t. Let d = 9 - 43\/5. Which is bigger: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*b + 6*b - 5*b**2 - 2*b**3 - 5*b**2 - 3*b**4 + 5*b - 6*b**2 wrt b?\nAnswer: -72*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 7*r + (4*r - 5*r + 0*r)*(0 - 3 + 2) + 0*r + 2*r - r)*(-12*r**2 + 0*r**2 - 3*r**2).\nAnswer: -135*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002324 (base 5) in base 9?\nAnswer: 47288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 521717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**3 - 3*g + 2. Let q be y(1). Suppose -6 + q = 3*a, -2*a = -d + 153. Calculate the remainder when d is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -750, 0.\nAnswer: -750, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3951 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 2*d**3 - 2*d**3)*(-6 + 4*d + 6) + (1 - 2*d**3 - 1)*(249*d**2 + 30*d**2 + 186*d**2).\nAnswer: -934*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75712856.\nAnswer: 2, 613, 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*14\/84.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -21\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231\/2 - -115. Let h = 1.96 - -0.04. Are b and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssjfnoojgjonos. Give prob of picking 2 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(1*-1*1). Suppose -2*y + b = -6, 5*b = 5*y - 0*y - 5. Suppose -z*a - 5*j = 5, -6*a - y*j = -2*a + 5. Solve 0 = 4*t + 8 - a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 13*f**2 + 8. Calculate k(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1020*w**5 + 933*w**4 + 2*w**3 + 20030390*w**2 wrt w.\nAnswer: 61200*w**2 + 22392*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1387\/75, -60, 0.3, 0.5.\nAnswer: -60, 0.3, 0.5, 1387\/75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -v - 2, -1296*v + 2*o = -1299*v + 62. Solve 239*f - 230*f = v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*u**3 - 66184*u - 66176*u + 132360*u + 50*u**3 + 58*u**3.\nAnswer: 78*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 4, 1, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8077129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*c - 6, j - 3*j - 5*c = 31 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 5*c**2 - 7*c - 6. Let w be z(-4). Let d be (w\/(-32))\/(3\/12). Put d, -0.3, -3 in increasing order.\nAnswer: -3, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110607 - 163362. Let i = t - -52755.39973. Let s = 0.398 - i. Round s to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:35 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8620 or 8609?\nAnswer: 8609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7645716329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10292 - 31*b**4 - b - 14*b**4 + 10293)*(b - 4*b - 2*b).\nAnswer: 225*b**5 + 5*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 5, -1\/12, 17?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 - 225*d**2 - 621*d + 99. Give a(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8801 - 3.88014806. What is j rounded to six dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.240803 tonnes?\nAnswer: 4240803000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 296753 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -25*x**2 + 1224*x - 3648. Calculate n(3).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 24702*u + 3. Let y(d) = -5*d. Give f(y(n)).\nAnswer: -123510*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 3*u**2 + 3*u**2)*(-369*u + 369*u - 63*u**2) + 3 - 2*u**4 - 3.\nAnswer: -128*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*x = 374, 3*t - 3*x = 4*t + 187. Find the common denominator of (t\/93 - -2)*58 and -40\/57.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 283541641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72778016, 72778007, 72777986, 72777947, 72777884, 72777791?\nAnswer: 72777662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-82 + 100 - -85).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 26. Suppose 0 = 5*w - 0 - j. Suppose -r = -4*r + 30. Solve w*n + 3*n = -r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 83, 170, 259, 350, 443, 538, 635?\n\"Answer: f**2 + 84*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57.2697 and -62?\nAnswer: -3550.7214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egegegheegggh. Give prob of sequence ggg.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 565 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2967531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 765 = 51. Let u = l - 78. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9506)\/97*-8*(27\/144)\/((-21)\/(-12))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584306400 rounded to the nearest 1000000?\nAnswer: 1584000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxx. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - m - 1. Let r be (-14)\/(-63)*(-27)\/(-3). Let f(a) = -a**2 + 3*a + 3. Let x(h) = r*g(h) + f(h). Calculate x(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/105)\/(177\/(-1180)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 94 = 5*x, -3*x + 78 = 2*v - 5*v. Suppose -16 = -m - 6. Calculate the least common multiple of m and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 11*q + 3. Let x be t(11). Let d(v) be the first derivative of 17*v**2\/2 - 3*v + 2. Is 14 a factor of d(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.16, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*l - 7*l. Let r(o) = -o - 1. Let t be r(l). Suppose 0 = 3*w - 0*w + t, -5*h = -4*w - 18. What is the remainder when 3 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5509 + 6*m - 5509 - 3*m - m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11450 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bghb when four letters picked without replacement from {h: 3, z: 5, b: 4, g: 1, u: 1}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 2*v + 3. Let h be (-2)\/(-8) + 13\/(-52). Let u be l(h). Suppose 5*w - 4*p - 156 = 0, 0 = -u*p + p + 2. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*i + 21. Let v(s) = 4*s**2 + 7. Let o be v(i). Let z = o + -133. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x - 2. Suppose -6 = 3*d + 21. Let z(w) = 5*w - 1. Calculate d*z(j) + 4*l(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 19 = -19*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(1\/5)))\/l)\/l)**(-13\/6) assuming l is positive.\nAnswer: l**(143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42091 + 67310. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(1 + 9\/(-6)). Let y(b) = b**3 + 4*b**2 - 5*b - 5. Let k = -5 + 11. Calculate the remainder when y(u) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 92*y - 88*y - 136 = 0, g + 62 = -10*y for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**3 - 83*q**2 - 274*q + 48 = 0.\nAnswer: -8, -6, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-9)\/x*x)\/x**(-1\/4))\/(x**1\/x**(1\/3)) assuming x is positive.\nAnswer: x**(-101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2 + 7*b**2 + 14*b - 12 - b**2 + 0*b - 4*b**2 = 0 for b.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**14)**(1\/41))**(-25))**(-8) assuming z is positive.\nAnswer: z**(2800\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2640, -3984, -5328?\n\"Answer: -1344*f - 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125628403.\nAnswer: 125628403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820400 rounded to the nearest 10000?\nAnswer: 1820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3070293673.\nAnswer: 317, 593, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 9*w**2 + 9*w + 12. Let m be f(-8). Suppose 0 = m*h - 3 - 9. Let s be h\/(2\/(-1) + 3). Solve -4 = j - s*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 3*n - 5. Give k(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 74 + (-1)\/2 + (-1)\/2. Let o = n - 71. Solve i + v = -v - 2, -i = -v + o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7717, -5, 1 in descending order.\nAnswer: 1, -5, -7717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l + 63 = -311. Let u(o) = 23*o**3 + 11*o - 11. Suppose -4*y - 5*j = -6, 0 = 4*y + 4*j - 13 + 5. Let h(r) = 8*r**3 + 4*r - 4. What is l*h(d) + y*u(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 6. Suppose 20 = -0*x - 5*x. Let y be a(x). Suppose -30 = -y*z + 32. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 times -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 12) to base 16.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -121773 times -0.15\nAnswer: 18265.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3 - 5259*j**2 - 444791*j + 450051 = 0.\nAnswer: -5173, -87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 - 14) + -82 + 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2123 and 180147?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3\/2, -0.022, 3, 9?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -550*o**3 - 24*o - 105. Is h(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by 136908.\nAnswer: -7\/7606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -7\/33, 8, 0.5 in descending order.\nAnswer: 8, 3\/2, 0.5, -7\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 25*n**4 - 20*n**4 + 2*n**2 + 0*n**3 to s*n**3 + a*n + g*n**4 + k*n**2 + o and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/15)\/((-1)\/(-195) - 0). What is the greatest common divisor of i and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(19) + sqrt(190)\/(sqrt(20)\/sqrt(2)) + sqrt(19) + 1 + -2*sqrt(19) + 0 - -6*((0 + sqrt(76))*6 + 3))**2.\nAnswer: 2336*sqrt(19) + 101507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(360) + sqrt(360) - sqrt(360))*-6)\/(-3*sqrt(98)*-2) + 2 + 1.\nAnswer: 6*sqrt(5)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**6\/6 + 66*s**5\/5 + s**3\/3 + 74*s - 80. What is the third derivative of c(w) wrt w?\nAnswer: -60*w**2 + 1584*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 9*l + 4. Let y be g(9). Solve 0 = -o - 5, 0 = -y*q - 0*q + 4*o + 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100011000001000 - 1101100?\nAnswer: -1000100011001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/17486 and -101\/214592.\nAnswer: 268025408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-175\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1665 > -1665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.01332 milligrams in kilograms?\nAnswer: 0.00009401332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 854073 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.28 - -1.2800225. Round n to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) + -2) + sqrt(2) + (sqrt(72) + -2 - sqrt(72))**2 - (-4 + (sqrt(14)\/sqrt(7))**2 + -1).\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 8:10 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 3*c - c**2 + 9*c + 2*c - 9*c - 24. Calculate o(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 5:20 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/14440201 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35634, -74559, -116774, -162279?\nAnswer: -211074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by (-27)\/18*(-16)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1 - 11*c + c**2 + 2 + 4. What is the remainder when y(12) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 1565, 3854, 7059?\nAnswer: 11180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115650818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 833796\/(-69642) + ((-4)\/146 - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 + 26 - (0 - 6)) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 + 1688923544*r - 178278921092344996 = 0.\nAnswer: 211115443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 254400 (base 6) in base 3?\nAnswer: 1011121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 33, 63, 105?\n\"Answer: 6*v**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232100 - -322203?\nAnswer: 1220303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - h + 23 = -x, -2*h + 58 = 5*x. What is the third derivative of 4*y**5 - 1126*y + x*y**5 + 1126*y + 68*y**2 wrt y?\nAnswer: 960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + 5. What is the second derivative of l*h**5 - 108*h**5 + 54*h**5 + 11*h wrt h?\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5226608*t**3 + 7523160*t**2.\nAnswer: 31359648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*m**4 - 3*m**2 - 188*m.\nAnswer: 444*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*p + 1. Suppose 217 + 368 = 5*t. Suppose -15*u + 198 = -t. Calculate the remainder when u is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11b8 + -29c?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000023 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116731591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.98186 rounded to 1 dp?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047346827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100000110001000110 (base 2) to base 9.\nAnswer: 1213258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m - 18 - 6 + 9*m + 0*m. Find the common denominator of 67\/4 and j(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230020 (base 4) to base 13\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -21825, 0.2.\nAnswer: -21825, 0.2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 2758197?\nAnswer: 27581970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {e: 2, k: 1, i: 1, r: 1, o: 1, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + 5 + (sqrt(343) - (sqrt(343) + 2)) + sqrt(343))**2 + (-3*sqrt(343) + -1 + 4)*3 + 1.\nAnswer: 21*sqrt(7) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0*l**2 + 0*l**3 + 0 + 2*l - 1\/6*l**4. Let c(w) = -2*w. Determine c(o(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 98*d + 384 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*j + 869 + 1273. Does 7 divide 17742\/15 - (j\/35 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 342*d**2 + 2*d - 1. Suppose -b + 4*o + 18 = 0, -2*b + 2*o = -o - 16. Is p(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95\/(21850\/(-828)))\/(2\/((-40)\/(-6)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 587674, -15, -0.06 in increasing order.\nAnswer: -15, -0.06, 587674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.65748 litres in millilitres?\nAnswer: 66657.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/9 - 4*z\/9 + 2\/3.\nAnswer: -2*(z - 1)*(z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-567)\/(-171) + (-3 - 0). Suppose 9*k - 15 = 3. Suppose 6 = -k*q + 6. Which is greater: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3089 by -15.\nAnswer: -3089\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 4)*(-4*v + v + 4*v) + (18 + 8 - 16)*(-v + v - v) to the form o*v + a and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d - 17*d + 22*d - 550 = 2*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let b(m) = -14438*m + 60. Let d(p) = -8664*p + 35. Let t(y) = 7*b(y) - 12*d(y). Give s(t(i)).\nAnswer: -5804*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3084 is divided by 973?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148765703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + n = 0, 0 = -3*v + 7*v + n + 6. Let s be 10 + (8\/12)\/(v\/6). Let b(o) = -o**2 + 4*o - 5. Give b(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -4*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/42 + -2\/7. What is the closest to 0.2 in -2\/13, 2, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7723035 by -6.\nAnswer: -2574345\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Suppose 0 = -3*t - o*x + x + 31, 5*x + 34 = 4*t. Let b = 19 - t. Calculate the remainder when 14 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101 + 12?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194055.65 + -194070.6500044. Let g = n - -15. What is g rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 400 = 0. Suppose u + 18 = -4*i - 26, 195 = -5*u + 5*i. Let l be (-790)\/u - (4\/(-16) + 0). What is the highest common divisor of l and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(3*i**3 + i**2 - i**2) + (0*i - i + 0*i)*(i**2 - 5*i**2 + 2*i**2) + (-6*i**2 + 4*i**3 + 6*i**2)*(-9 - 7 + 34).\nAnswer: 68*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-2))\/(2*4\/16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2604 is divided by 858?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 1 o when three letters picked without replacement from mknokxxmxx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121121111 - 0?\nAnswer: -121121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 17*z**2 + 44*z + 60. Let s be o(-14). Calculate the highest common factor of s and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3035.548 nanometers?\nAnswer: 0.000003035548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 4:46 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {n: 1, z: 2, b: 4, d: 2, f: 6, u: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 + 127*r**2 - 3 + 2 + 141*r - 184*r - 2 wrt r?\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -6 + 12 + 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -26*w - 364 + 26*w + 391*w**2 + 364. Let h(s) = -10*s**2. Give h(m(l)).\nAnswer: -1528810*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -62*j + 29. Let a(d) = 95*d - 46. Determine -5*a(o) - 8*r(o).\nAnswer: 21*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((2 - (6 + -7 + -2)) + 1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1784, -1790, -1796, -1802, -1808, -1814?\n\"Answer: -6*b - 1778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 4, 1, -15\/11, 0.08, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2057\/15 + -137. Let q = 5 + -3. Let c = 1 - q. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (6 - 24))\/(-1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7033, -14036, -21039, -28042, -35045?\n\"Answer: -7003*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -25. Calculate the least common multiple of w and (-4 + -62)\/(-3) + -4.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -420*h + 3. Determine r(2).\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.34 - -1.74. Which is the closest to -2\/3? (a) g (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 3*l + 11*l - l**3.\nAnswer: -l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(8\/1)\/16*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82958 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703156 to the power of 1\/2, to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -539, -1074, -1609, -2144, -2679, -3214?\n\"Answer: -535*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, u: 2}. Give prob of sequence udd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5086381888 to the nearest integer?\nAnswer: 71319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(80)\/(sqrt(40)\/sqrt(4))) + -2*(sqrt(102) - 1*sqrt(102) - sqrt(102))\/sqrt(6).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/(30\/(-9)). What is the closest to -1 in w, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/12 and 29\/3196.\nAnswer: 9588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 1643418?\nAnswer: 1643418.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000086373925 to six dps.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 9 + (-28984)\/72*-45. What is l rounded to the nearest 100?\nAnswer: 18100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 + 9 = 0. Let m be (0 - q)\/(8\/(-104)). Are 23\/2 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3265, -2\/99681, -3\/5, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**5\/15 + y**3\/3 - 40*y**2. Let c be (1 - -3)\/(0 + -1). Let m(v) = -17*v**2 - 9. Give c*m(i) - 18*r(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 3*r**4\/8 - 13*r**3\/3 - 219*r**2\/4 - 35*r - 2814. Find a, given that u(a) = 0.\nAnswer: -5, -1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 + 19. What is the common denominator of -119\/54 and (-10)\/q + 1 + (-686)\/(-780)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 173*k*y**3 + k*y**2 - 759*k - y**4 wrt y?\nAnswer: 519*k*y**2 + 2*k*y - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:52 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 9168738*l**2.\nAnswer: 3*l**2*(l + 3056246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 202, 174, 136, 94, 54, 22, 4?\n\"Answer: q**3 - 11*q**2 - 2*q + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -14.71. Let f = k - 0.69. Is 4 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 33078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43726996 to the power of 1\/2, to the nearest integer?\nAnswer: 6613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 17. Let t be n(-8). Let i be 1\/t + (-1595)\/(-261). Suppose 0 = i*k - k - 140. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764.3826 rounded to 0 decimal places?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 434492 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 times 1528?\nAnswer: -326992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*r - 1389, -5*x + 510 = r + 60. Is 35 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 - 1. Let k be (2\/16)\/((-12)\/(-2592)*27). Determine y(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by 135.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 - 4*p + 5. Let u(c) = -c - 21. Let x be u(-15). Let d(i) = -3*i**2 + 3*i - 4. Give x*d(f) - 5*q(f).\nAnswer: 3*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 + -17. Let l = -129.21 - k. Let m = 0.74 + l. Round m to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/9))**(-17\/2)*c**(-2\/17)*c**(-3\/5))\/((c\/(c*c*(c**(-3)\/c)\/c))\/((c**(1\/7)\/c)\/c)*c**3*c*c**6*c*c) assuming c is positive.\nAnswer: c**(-89353\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6*1)\/(-112*2\/(-32))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003644925 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - 1?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*l**3 + 38*l**3 - 58*l**3 + 180*l**3.\nAnswer: 264*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223 - 3004?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.073 - 0.162. Let m = 0.23 + n. Round m to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8521?\nAnswer: 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2\/2 - 14*u - 39. Let k be 8*(-7 + 140\/16). Determine y(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -452 - 632522?\nAnswer: -633174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12628708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 145, 149, 155, 163, 173, 185, 199?\n\"Answer: x**2 + x + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 0*c - 6*c - 5*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -5*x**4\/8 - 7*x**3\/2 - 202*x**2. Let g(l) = 3*l + 4. What is 21*g(n) + 4*z(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**4\/6 - k**3 - 2*k**2 - 2*k + 2. Factor o(v).\nAnswer: -2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4 + 4. Suppose k - 49797 = -p*u, 0*k - 124485 = -5*u - 5*k. Round u to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-9 - 0 - 3) + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 + 62452*p**2 - 243484492*p - 2196421956 = 0.\nAnswer: -9, 7811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -7) + -5 - (17 - -8 - 3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g. Let z(v) = -6*v. Let d = -4 + 16. Let x(f) = 12*f + d - 4 - 8. Let h(t) = -2*x(t) - 5*z(t). What is h(j(s))?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466?\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 6*l**2 - 9*l + 7. Let g be (-2)\/(-1) + 3 - -2. Let x be o(g). Let a = x - -26. What is the remainder when 36 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 3. Let x(b) = -23*b + 16. Let g(t) = -2*x(t) + 10*z(t). Let o(k) = -12*k**2. Determine o(g(f)).\nAnswer: -3072*f**2 + 768*f - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2415237ng?\nAnswer: 0.0000000002415237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5257, 5258, 5259, 5260?\n\"Answer: d + 5256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-6) + (-39)\/(-18). Suppose 4*u + 16 = -0*u - 4*i, -m*i = -4*u + 8. Solve 4*q + n = -4, -q - q - n = u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 437, 1817, 4123, 7361, 11537, 16657?\n\"Answer: w**3 + 457*w**2 + 2*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103772697 and 153.\nAnswer: -103772544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30750 divided by 246?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -18, 20, 68, 132, 218?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n + 29. Suppose 4*g - 1 - 35 = -2*k, 14 = g - 2*k. Calculate the remainder when l(0) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5144359.\nAnswer: 11, 467669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4.2. What is the second smallest value in 5, -3, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 1161?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*n**2 - 2*f**2*n - 4*f**2 + 86*f*n**2 - 6*n**2 + n - 1 wrt f?\nAnswer: -4*n**2 - 4*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53013*r - 106031*r + 2483*r**2 - 212 + 53012*r + 705*r**2 wrt r?\nAnswer: 6376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39567, -39319, -39063, -38799, -38527, -38247, -37959?\nAnswer: -37663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {y: 1, k: 3, n: 3, i: 2, d: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + z - 3*z)*(0*z - 2*z + z) + 61 + 14*z**2 - 61 + (-10*z + 33*z - 19*z)*(-2*z - 2*z + 3*z) to n*z + c + j*z**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-494))\/((-828)\/(-5382)). Let k be 1\/(-9)*1*2. Which is the nearest to k? (a) 0.5 (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 40484120.\nAnswer: 40484120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(sqrt(475) + 2) - -1*4*((sqrt(57)\/sqrt(3))**2 + sqrt(19)))*-2.\nAnswer: -136 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let h(b) = 5*b**2 + 702*b + 16. What is w(h(f))?\nAnswer: -5*f**2 - 702*f - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lljllwzwzzjljwzjwwlj. What is prob of picking 2 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 28*m**2 + 828*m + 544. Determine c(-29).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.02, 5\/3, 0.69, 3 in increasing order.\nAnswer: -1\/8, -0.02, 0.69, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s**3 + 21*s**2 + 11*s + 1. Let t(y) = 3*y**3 - 4*y**2 - 2*y. Let p(j) = 2*r(j) + 11*t(j). Let b = -53 - -57. List the prime factors of p(b).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - g - 37 = 47*j - 1, 9*j + 5*g + 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.8 - 0.8. Let i = 10 + -7. Let p = -6 + i. What is the smallest value in p, y, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/5))**(2\/35)\/((q*q**(-2\/21))\/q**(1\/4)))**(1\/74) assuming q is positive.\nAnswer: q**(-193\/22200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1225 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3389*t**3 + t**2 + 1577 wrt t?\nAnswer: 20334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1240*i**3 - 1 - i**2 - 2478*i**3 + 1241*i**3 + 19*i**4 - 2*i to d*i**3 + x*i + q*i**2 + w*i**4 + o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3322028 (base 9) to base 7\nAnswer: -21116135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10275, 41121, 92531, 164505, 257043?\nAnswer: 370145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 10 + 20 + 15 + 10 + 3*m + 2*m.\nAnswer: 5*m + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(136)\/(sqrt(32)\/sqrt(4) + sqrt(8)) + (-5*-4*(sqrt(17) + -1))**2.\nAnswer: -797*sqrt(17) + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19150 + 72545. Let m = t + -31536. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + i**2 + 2*i - 3. Let v(d) = 2*d**3 - d**2 - d + 2. Let s(w) = 4*o(w) + 5*v(w). Is 26 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12095 and -5.5429405?\nAnswer: 12089.4570595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -293522 (base 11) to base 10.\nAnswer: -458493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -74 + 14*l + 26 - 43*l - 20 - 46. Let x be a(-4). Solve -4*c + 6 + 8 = x*b, 0 = -5*c + 3*b + 34 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**4 + 6*q**3 - 211*q**2 - 34520 wrt q.\nAnswer: -16*q**3 + 18*q**2 - 422*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 186 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*s**2 + 605*s**2 - 1219*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djjttddjtjj. What is prob of sequence ttt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5152 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-25 - ((-16 - -17) + -21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-12))\/(8\/4). Sort -0.3, f, 0.023 in decreasing order.\nAnswer: 0.023, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785773.6 millennia in centuries?\nAnswer: 7857736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4058607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 1 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 34*c**2. Let h(f) = -3*f + 14. Let t(q) = -11*q + 39. Let n(r) = 2*h(r) - t(r). Determine y(n(i)).\nAnswer: 850*i**2 - 3740*i + 4114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*z - 20495, 6 - 14 = -z. List the prime factors of a.\nAnswer: 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a + 9. Let r(w) = 4*w - 4. Let l(v) = 13*r(v) + 6*s(v). Let p be l(-4). Suppose -3*c = -0*c + 3*f - 18, p = c + 2*f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 6*(sqrt(17) + 0)*-5).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -v - 10 - 36, 5*x = 4*v + 34. Let j = -6 + x. What is the remainder when 10 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 5) in base 16?\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -2 + 3 + (10 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408*d**4 + 2*d + 293.\nAnswer: -4896*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 41. Let w = i - -17.1. Let g be (-10)\/25 + (-130)\/175. Which is bigger: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**4 + z**3 - 2*z - 3\/2*z**2 + 29. Let q = -1 - 1. Let k(p) = 9*p**3 + 7*p**2 - 6*p - 5. Give q*k(i) + 5*w(i).\nAnswer: 2*i**3 + i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = s. Differentiate 3*u**3 - 95*u**s + 95*u**2 - 4 with respect to u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1732 - 2442?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1dd73b + -148?\nAnswer: -1dd885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, f: 3, w: 3, n: 2}. Give prob of picking 1 w, 2 n, and 1 y.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*b + 5*v + 11, 4*b = v + 40. What is the smallest common multiple of b and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -17, -16, -15, -14, -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 13 - 47 = 0. Suppose a*g = 21*g + 4. Let k be g - 21\/12*-3. What is the nearest to 0.1 in -2\/11, -4, k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3712371079 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: Suppose -l + 8 + 7 = 0. Let y(m) = -26*m + 5. Let u be y(-5). Calculate the greatest common divisor of u and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (78 + -76)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 1 + 23. Let z(r) = r**2 - 9*r - 11. Let f be z(p). Differentiate 35*q**3 - 19*q**3 - f + 6 wrt q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -26*o**2 - 7*o + 39. Let p(j) = 9*j**2 + 2*j - 13. Let m(b) = -2*c(b) - 7*p(b). What is the first derivative of m(t) wrt t?\nAnswer: -22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h - 22. Let k = 3 - 3. Suppose -4*g + 8*g - 212 = k. What is the remainder when g is divided by r(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4161.\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3*n*p*z + 3*c**3*n*p + 13*c**2*n*p*z + 2*c**2*n*p + 144*c*n*p wrt z.\nAnswer: -3*c**3*n*p + 13*c**2*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0 + 0)*(80 - 18 - 43 + w).\nAnswer: -4*w**2 - 76*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 36*y**3 + y**2 - 1. Let l = -307 - -301. Let m be (-378)\/(-162) + 8\/l. Determine b(m).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*f + 1. Let d = -473642\/105 + 22432\/5. Let q = d + 73\/3. Which is the third smallest value? (a) q (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-400)\/(-22) + 2\/(-11). Suppose 2*x = -2*b - 2, 13*b - 10*b - 1 = -5*x. Factor 400*r - z - 3*r**2 - 6*r**x - 367*r.\nAnswer: -3*(r - 3)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 1, g: 1, u: 1, c: 1}. Give prob of picking 1 c and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42672 by -10668.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - q**2 + 311*q + 639. What is c(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(9) + sqrt(196) + 2*sqrt(196))\/(2*sqrt(1152) + sqrt(1152)).\nAnswer: 23*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-300)\/(-36) + (-14)\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**5 - k**5 + 0*k**5 + (0*k**2 - k**2 + 3*k**2)*(-k**3 + 2*k**3 - 4*k**3 + (-2 - 1 + 5)*(-k**3 + 0*k**3 - k**3) - 13*k**3 + 12*k**3 + 27*k**3).\nAnswer: 32*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73.99 + 71. Let g = 3 + o. Let q = -0.0100028 + g. Round q to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - (23 + 83)) + -80.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28054?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 202921, 405834, 608761, 811708, 1014681, 1217686, 1420729, 1623816?\n\"Answer: c**3 + c**2 + 202903*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24886 - 3676 = -2*k + 2*l, 3*k + 31820 = 4*l. Round k to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-3 - 20\/(-8)). Let g(m) be the third derivative of 0*m + 1\/30*m**5 + 0*m**3 + 0*m**4 + 0 + 2*m**l + 1\/60*m**6. Let g(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 + -120. Solve 2*d**2 - 101 - j*d + 337 - 104 - 114 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 0. Solve a - 4*k = -o, 4*a - 22 = -2*k - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*u + 15, -4*d + 12 = -0*u + 4*u. Let o(r) = u + 1 - r - 3. What is the smallest common multiple of o(0) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-7)\/(-66) - (-8)\/(40 + 8).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = 0, f - 34 = h - 6*h. Let n(g) = g**3 - 8*g**2 + 7*g - 5. Let x(z) = z. Let w(j) = -n(j) + 4*x(j). List the prime factors of w(h).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18544\/1220)\/(-3*8\/60).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 438 and 390550.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -53.85 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 7. Is -0.2 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392081*a + 54 = -392087*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 67887 + 68139 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 2*x + 41 - 22)*(-x + 4*x**3 + x) as s*x**4 + z*x**2 + g*x**3 + m*x + l and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*b + 2*s, -3*b + 5*s - 7*s + 10 = 0. Suppose -4*h = -p - 2*h, b = -3*p - 4*h + 50. Solve 3*w + f - 4 = 2*f, -5*w + p = -f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 8*s**2 - 30*s + 109. What is i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddyf when four letters picked without replacement from oddydff.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v. Let m(o) = 2*o - 80 + 8 - 17 - 86. Determine m(q(i)).\nAnswer: -8*i - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24130329 divided by -3.\nAnswer: -8043443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 1, p: 1}. Give prob of sequence op.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13170*t**3 - 87*t - 2778266?\nAnswer: -39510*t**2 - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24714*0.2.\nAnswer: -4942.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 11*f**2 + 6*f**2 + 7*f**2)*((-1 + 0 + 0)*(2*f**2 - 4*f**2 + 4*f**2) - 4 + 4 - 3*f**2).\nAnswer: -10*f**4 - 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oizz when four letters picked without replacement from {i: 1, u: 2, o: 5, h: 1, z: 3}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5bb3 (base 14) to base 8\nAnswer: -37241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 448, 923, 1588, 2443, 3488?\nAnswer: 4723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + ((-93)\/(-20) - 5). Let d be 2 + -1 - 98\/(-12). Let l = d - 9. What is the smallest value in l, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6227013100 rounded to the nearest 1000000?\nAnswer: 6227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31374 and 4662.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-108)*-2)\/((-16)\/120*-35)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 198897635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1759*m. Let h(p) = 7*p**2. What is g(h(l))?\nAnswer: 12313*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17939 = -3677*w - 188527 - 152988 for w.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/9 of a week in minutes?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416a6c (base 13) in base 12?\nAnswer: 6187b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2714617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -7*x**8\/48 + 2*x**5 + 3*x**2 - 2. What is the third derivative of t(u) wrt u?\nAnswer: -2940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1998749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 147?\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1) + 18 + -15 + 7 - -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/10))**(-2\/3))**(2\/9) assuming l is positive.\nAnswer: l**(2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 15) in base 14?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddkk when four letters picked without replacement from kkkkkkkkdkkkd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 2*b - 15. Calculate w(6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 2660?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 23*h**7\/210 - 5*h**3\/3 + 18*h**2. What is the first derivative of n(g) wrt g?\nAnswer: 92*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from chfhrhhfrfhhfhrff.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 48*c + 39. Let m = -10 - -15. Calculate the remainder when j(48) is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 3*q**2 + 28*q - 27*q + 3*q**2 + 45. Let f be j(0). What is the common denominator of (10\/f)\/2 - -1 and -65\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 3, n: 3, b: 2, o: 3, j: 1}. What is prob of sequence pm?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 3*n - 2. Let t be v(4). Let u be 3\/12 + -1 + (-2638)\/(-8) + 1. Suppose u*i - 329*i = t. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 31.\nAnswer: -29\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -307*c - 3685. Give l(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000063 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 3. Suppose 13 = 2*v + 3. Suppose v*n = n + 20. What is m(n)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -5235?\nAnswer: -52.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 285 + -557. Let b = t - -6255\/23. Is 1 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 222 = -2*h + h, 0 = -3*o - 4*h + 176. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 95*n - 1401. Let a be z(108). Let x be (-2 - -5)\/((-3)\/10). List the prime factors of ((-387)\/6)\/a*(x + 2).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13817187623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 17*p - 10. Suppose 5*m + p = 4*y - 14, 11 = 3*y - 4*m. Solve w = 5*z - 3*w + y, -z + 5*w = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from dddqdrddqqzrqqddqq.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osz when three letters picked without replacement from eosorffoozzosr?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2247\/8 - 45323\/168. Let x = 80\/7 - w. Find z, given that -12 + 4*z - x*z**2 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 87005233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54.37 + 0.37. Let f = w + 53.99959. Round f to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -554\/45 + 109\/9. Let p = 4 - 3.95. What is the smallest value in d, -2\/11, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 21*j = -6. Solve 0 = -p + 5*g + 15, 2*g + 9 = -j*p - g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.7*351635.\nAnswer: 1301049.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(4*l**2 - l**2 - l**2) + 9 - 8 - 299*l**2 + 319*l**2.\nAnswer: 24*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124972.9999939431 - -124973. Round d to 7 decimal places.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 + -179. Suppose 0 = -5*p + 6*p. Suppose t*j - 3*j = p. Which is the second smallest value? (a) -4 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 1)*-2 + sqrt(66)\/(sqrt(6)*-1 - sqrt(6)) + -4.\nAnswer: -33*sqrt(11)\/2 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -107.574 + -0.4\nAnswer: -107.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)*(0 - 1). Suppose -g + a - 2 = 0. Let r(x) = -x**3 + 2*x**2 - 2. Let j(s) = -2*s**3 + 5*s**2 + s - 4. Give g*j(b) + 5*r(b).\nAnswer: -b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4936923 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + i + 96. Suppose 2*w - 2*s - 6 + i = 0, -2*w - 30 = 2*s. Let h = w + 32. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {w: 4, x: 2, i: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71005.08 days in seconds?\nAnswer: 6134838912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) + -2)) + 3 - -6*(-2*sqrt(475) + sqrt(475) + sqrt(475)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**17)\/q**25*(q*q**(-21)\/q*q)**(-5\/2) assuming q is positive.\nAnswer: q**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 2*w - 343079*w**2.\nAnswer: -343079*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-5)\/(-30)*(0 + 3). Let d be n\/(2 + (-27)\/15). Let t = -3 + 3.1. Put t, 3\/4, d in increasing order.\nAnswer: t, 3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14 - 9 + 4*f**5 - 10*f**4 + 30 - 2*f**3 - 11 + 14*f**2 - 2*f = 0. What is f?\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let o = 191.3 + -208.3. Let x = 0.23 - -0.07. Is x less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 - -187. Let c = k + -82. What is the closest to -1\/4 in c, 2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -2.076?\nAnswer: -2.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.25 in -6\/11, -8, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 0*y - 3*y - y + 2 - 2 + (-2 + 2 + 2)*(-5*y + 3*y + 0*y))*(-4*y**2 + 4*y**2 - 2*y**2) as k*y**3 + a*y + z*y**2 + b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + j - 21 = 0. Solve 0 = -9*q + j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1971096838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 88?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9487, 18468, 27473, 36508, 45579?\n\"Answer: t**3 + 6*t**2 + 8956*t + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 34 (b) -2\/11 (c) 0.05 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -388, 0.5, 5, -0.5 in decreasing order.\nAnswer: 5, 2, 0.5, -0.5, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 7*s + 4. Let u be v(7). Let f(t) = t**2 - 3*t + 1. Let h be f(5). Suppose 0 = -8*l + 3*l + 155. Solve -u*n = h - l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 96*z + 94*z + 17 = 0, -4*q = -3*z - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14816324?\nAnswer: 2, 23, 161047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v - 8 = 0. Let a = 12 - 17. Suppose 0*h + s = -2*h + 12, -2*h - 4*s + 24 = 0. Sort a, h, v in descending order.\nAnswer: h, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1266 = -9*h + 1056. What is the common denominator of (-16)\/102*h\/(-8) - 5 and 3\/2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44\/5 of a millimeter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 759424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = -8. Let x(f) = 3*f**2 - 3*f - 9. Is x(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.565441m in nanometers?\nAnswer: 565441000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1)*c)**(-9))**41 assuming c is positive.\nAnswer: c**(-1107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -14417.2855 to the nearest 10.\nAnswer: -14420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 20*t + 26. What is the remainder when 563 is divided by d(9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 8 = -2*w + 4*x, 3 = -3*x. What is the lowest common multiple of 7 and 18\/(-42)*(w + -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 6*k**2 - 5*k + 4. Calculate w(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**6 - 22639*n**3*t + 2*n**2*t - 22*n**2 + 3*n*t - 7 wrt n.\nAnswer: 240*n**3 - 135834*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.372 + 0.128. Which is the nearest to 11.7? (a) -1\/3 (b) -0.3 (c) -0.1 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514771 to the power of 1\/2, to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:11 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 12) in base 11?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*x - 0*x, 4*g = 4*x + 24. Suppose -g*b + 76 + 80 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/1247 and -77\/172.\nAnswer: 4988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 5*k**4\/12 - 7*k**3\/6 - k**2\/2 + 2*k + 8. What is the remainder when x(-4) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkkkkkvkkkkkk. What is prob of picking 1 v and 1 k?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Suppose 3*b - q - 2 - 12 = f, 10 = -2*q. Put 0, -4, b in increasing order.\nAnswer: -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**6*v + 350*f**3*v**2 - 2*f**2*v**2 + 76*f**2*v + 79*v**2 + 2*v wrt f?\nAnswer: -360*f**3*v + 2100*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a**2 - 9*a - 1. Let x = 16 - 20. Is k(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13024 = 28*v + 175*v - 27*v for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 3:47 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27922, 55843, 83764, 111685, 139606, 167527?\nAnswer: 195448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 12*h - 6. What is s(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/3, -2, -5\/18, 18, -3 in descending order.\nAnswer: 18, 3, -5\/18, -2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(3*s - 6*s + 2*s) - 12*s - 69 + 69.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -521, -3 in descending order.\nAnswer: -3, -20, -521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -8499, -10, 0.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/4*(-6)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4770076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83863943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*b + 2 - 17, -3*x + 5 = b. Solve b*m + r + 11 = 0, 18*r + 1 = 17*r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1282\/(-641)*2*3\/28.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -400.7 times -3.971?\nAnswer: 1591.1797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17420 - -11653978\/669. Let r = v + -7801\/1338. Calculate the common denominator of 23\/7 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1279 - -1281.1. Let j = 7.9 + -5. Let y = j + i. Which is the closest to -1? (a) y (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-379.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10260028 (base 9) in base 10?\nAnswer: -4940459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oknpokkkpkpld. Give prob of picking 1 n and 1 l.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 5*a**2 + 8*a + 5. Let b be j(6). Suppose 0 = 3*x + 9, s + 2*x - 156 - b = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 - 3260*b**4 + 68720*b**3 + 1000640*b**2 - 14169600*b - 129024000 = 0 for b.\nAnswer: -672, -12, -8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1310326 and 2312.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -9 - 6. Suppose -10 = -i*v + 2*m, 4 = 4*m - 3*m. Suppose -2*f = -2 - v, 4*f = 4*z. Solve -z = -3*k - k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16452, -16451, -16450, -16449?\n\"Answer: w - 16453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csc when three letters picked without replacement from schc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 7*m + 20. Suppose -4*i = -4*t - i + 2, -16 = -4*t - m*i. Calculate the common denominator of -85\/6 and (-170)\/(-12) - (1 - t).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrjjrrrrrrjrjrrjrrr. Give prob of picking 1 j and 2 r.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h - 14. Let z be (-26)\/91 + 187\/(-7). Let d = h - z. What is the remainder when d is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 17*b**2 + 161*b - 830. Give p(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1025 + 3406777?\nAnswer: 3405752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/11*q**3 - 2\/11*q**4 - 4\/11 - 18\/11*q**2 + 14\/11*q = 0. What is q?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 8*s**2 - 3*s + 12. Let j be y(9). Let r = j - 62. Solve 0 = -2*h + 4*h - r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -42, -17, 12, 45?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - g**2 - 1. Let i(d) = -3*d**3 - 6*d**2 - 3*d - 3. Let l(k) = 6*k**3 + 12*k**2 + 7*k + 5. Let z(u) = -7*i(u) - 3*l(u). Determine 6*v(a) + z(a).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-13 - (-5 + -2 + 3)) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*p - 442, 3*c + 1105 = 8*c - p. List the prime factors of c.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111101101001110 - -1?\nAnswer: -100111101101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -2\/3*j + 2\/9*j**3 - 3\/2*j**2 + 3\/4*j**4 + 19. Solve c(f) = 0 for f.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 1282024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 8)*(3 - 2). Suppose 0*t - z*t = -10. Factor 2\/9*c**5 + 0 + 0*c + 2\/3*c**3 - 2\/3*c**4 - 2\/9*c**t.\nAnswer: 2*c**2*(c - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 7*c**2 - 9*c - 1. Suppose 0 = -h - 1 + 3. Calculate the smallest common multiple of m(-8) and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609649 is divided by 692?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -9*z**5\/2 - 568857*z**4\/2 - 758377*z**3\/8 + 750565*z**2 - 790075*z\/2 = 0?\nAnswer: -63206, -2, 0, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 9. Let f(c) = c + 3. Let p(d) = 3*d + 7. Let v(j) = x*p(j) - 5*f(j). Differentiate v(w) wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -49?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*m + 73 = 0, 6*m - 4*m - 457 = -5*f. Which is smaller: f or 95?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2522 divided by 26\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -f19fc (base 16) in base 12?\nAnswer: -3b88a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 7 - 3. Let g(i) = -5*i**3 - 5*i + 16. Let t(k) = -2*k**3 - 3*k + 8. Let r(o) = q*t(o) - 3*g(o). What is the derivative of r(l) wrt l?\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937 = 722*h + 23 + 1206 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/546*(-2)\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s**2 + 50*s**2 - 27*s**2 - 15*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 26301*j - 3 + 26304*j + 15)*(3*j**2 - 2*j**2 + j**2).\nAnswer: 4*j**4 + 6*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 32*j - 6. Is 14 a factor of w(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2))**(-19)\/(x**(1\/4)*x**(-3)*x)*((x**(-1)\/x)\/x*x**4)**(-4\/5) assuming x is positive.\nAnswer: x**(-1121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + q - 16 = 0, -217*q + 212*q + 80 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15733 divided by -10448?\nAnswer: -15733\/10448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001062484103 rounded to 7 dps?\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.64, 2 in ascending order.\nAnswer: -2, -0.64, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2644 and 62903373?\nAnswer: 62900729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 9*n**2 + 10*n - 11. Let o be s(8). Let c = 0 - 2. Let m = -1.7 - c. Sort m, -2, o in increasing order.\nAnswer: -2, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j + 2. Let t(q) = 2*q**3 - 2*q**2 + 1. Let s be t(j). Let r be -3 - -3*12\/s. Put r, -4, 0 in ascending order.\nAnswer: -4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.95 times -537?\nAnswer: 21453.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1. Let s(z) = 2*z + 3. Let v(l) = -5*g(l) + s(l). Let c be 2\/((0 + 1)\/(-1)). Let i(u) = 8*u - 9. What is c*i(f) + 9*v(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66764*x**4 - 39597 with respect to x.\nAnswer: -267056*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/28)\/((-108)\/(-32)). Is w less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 17.7, 1, -4, 16, -5 in decreasing order.\nAnswer: 17.7, 16, 1, -0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -26738 - 2*i**2 + 26738. Let z(j) = 46*j**2. Calculate z(p(a)).\nAnswer: 184*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -12. Let y be (-1)\/f*(-255882)\/(-42). Let c = y - 3041. Find the common denominator of c and 21\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/5 (b) 0.02 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20.6 (b) 13\/16 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 l, and 1 i when four letters picked without replacement from {i: 1, w: 2, p: 5, v: 1, l: 6, x: 1}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)\/((-6)\/366). Let u = 410 - 407. Put 0, u, a in descending order.\nAnswer: u, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151203 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: What is the greatest common divisor of 247010 and 690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 41*t**2 + 86*t + 1. Let w be h(43). Let g(z) = 2*z. Let a(i) = i. Let y(k) = 3*a(k) - 2*g(k). Let c be y(-3). Do w and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8620, 16708, 24796, 32884, 40972, 49060?\nAnswer: 57148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810389523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10\/l**(-11))**28*((l*l\/(l**3\/l))**(4\/13))**(-4\/7) assuming l is positive.\nAnswer: l**588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/3)\/((-4)\/(-334)). Suppose 5 = 3*f - 2*f. Suppose f*m = o + 373. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 11 = -1. Let r be 3 - (11 + (1 - z)). Let c(b) be the third derivative of b**6\/120 + b**5\/12 - b**4\/24 - b**3\/2 + 10*b**2. Give c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.46151698 plus 5?\nAnswer: -35.46151698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-36)\/30*5\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5222?\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -843 + 831 = 2*j. Let r(d) = 2*d**2 + 5 - 3 + 1 + 8*d. Calculate r(j).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*c - 70, 5*t + 5*c - 85 = t. Suppose 4*p = 2*i - i + 7, -t = -3*i. What is the second derivative of -p*o + 4*o + o**3 - 2*o wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -65, -62, -73, -104, -161, -250, -377?\n\"Answer: -i**3 - i**2 + 13*i - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236152 (base 7) in base 11?\nAnswer: aa73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/3 - 842404*c\/3 + 842410 = 0. Calculate c.\nAnswer: -421205, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -31737932441247?\nAnswer: 31737932441252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 380*j - 456*j + 6612. Let q be ((-2)\/(6\/(-9)))\/1. Calculate the highest common factor of q and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c**2 + 0*c**2 + c**2)*(-2 + 2 - 2) - 2*c**2 + 3*c**2 + c**2 in the form u + x*c + s*c**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41.97055, 0, -0.05?\nAnswer: -41.97055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62.9411 + 72.897. What is s rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m + 200 = 0. Suppose 55 + 128 = -3*v - 2*k, 0 = 3*v + 3*k + 186. Let g = m - v. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7601 - 34.4699. Let c = i - -35. Let x = c + 0.2299991. What is x rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 3*y**3 - 4*y - 25168*y**2 + 2*y**4 + 13 + 0*y + 25170*y**2 to z + g*y**3 + l*y + d*y**2 + h*y**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1603 is divided by 200?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 28*n**2 + 74*n - 443. Let b be j(6). Is b at least 1009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 + 1.9. Which is bigger: r or -0.08?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q**3 + 11*q**3 + 0*q - q**3 + 9 - 17*q**2 + 2*q. Let v be p(17). Suppose -5 = -c + 4*w, 7*c + 3*w - v = 5*c. Is c greater than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381519623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 at most as big as -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16719 - 16664.5. Which is the third biggest value? (a) 2 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5\/4 + i**4 - 13*i**3 - 29*i**2\/2 + 51*i\/4 + 27\/2 = 0.\nAnswer: -9, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -1002, -2269, -4046?\nAnswer: -6333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36900763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23, 44, 65, 86, 107?\n\"Answer: 21*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(sqrt(13)*3 + -2 + 4).\nAnswer: 24 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 6914\nAnswer: -1\/6914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1\/(-593)) - -4. Let x = j + 880. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -13. Solve -y*l = -0*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-99)\/(-108) - (-2)\/(-3). Is -0.4 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 + -9797498\nAnswer: -9797498.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from {m: 10, f: 5, c: 1, l: 2, j: 1, e: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -22 + 19, -4*g = 2*v - 86. Put -3, 2, v in ascending order.\nAnswer: -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bibi when four letters picked without replacement from {j: 2, v: 1, b: 3, i: 3, k: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -11*s + 2. Give p(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*x + 12 = 0, -3*y + 3*x + 9 = -3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*b - 3*i, -2*i = -4 - 2. Let s be (-18)\/(-8) - b\/(-4). What are the prime factors of (43 - 1)*(s - (2 + 0))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 + 4*z**2 + 4*z**2)*(z**2 + 0*z**2 - 3*z**2)*(1 + 0 - 6).\nAnswer: 130*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + -85. Suppose l = -27*y + 26*y + 1259. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7656, -4, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 - 12*a**2 + 25*a**2 - 8*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 20. List the prime factors of c(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 2*r - 3*r + r + 353192 - 176565 + 2*r - 176581.\nAnswer: -r + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 290*-16\nAnswer: -4640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {y: 1, j: 1, e: 1, r: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 13.93. Round v to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + 17*z + 6. Let p(m) = m**3 + 2*m**2 + 16*m + 5. What is -6*p(h) + 5*x(h)?\nAnswer: 4*h**3 - 12*h**2 - 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, k: 4, x: 2, d: 2, o: 1}. What is prob of picking 2 x and 1 o?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 - c**2 - c**2 + 3*c**2 - c**2 - 4*c**2 + (-1 + 2 + 1)*(1 - 1 + 2*c**2) + 13*c**2 + 6*c - 6*c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -827.12\nAnswer: -248.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/13, 89, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 11*y = -3. Solve 0 = -0*t + t - y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13930*t - 13898*t + 27791*t + 2*t**2 - 1022.\nAnswer: 2*t**2 - 37*t - 1022","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5711 + 24107 = 9*m. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfwk when four letters picked without replacement from wwfk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*d - 180 = 265*d. Let x be d\/21 + 2\/28*-4. What is the greatest common divisor of 16 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 707547 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5504825 is divided by 230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 75\/2 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - (-5 + 2) - 10\/(-4). Let n be 3 - ((-75)\/(-6))\/5. Factor 0*b**2 + n*b - z*b**3 + 0.\nAnswer: -b*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 24 = p + 3*p, -2*v - 4*p = 0. Let l(i) = -i**2 + i - 2. Let y(q) = -2*q**2 + q - 5. Let w(b) = -5*l(b) + 2*y(b). What is the units digit of w(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 + 223. Suppose -4*l + 294 = -2*l. Suppose y = -4*k + 3*g + l, -60 = -3*k + g. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25476000809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -2*l - 72. Let d = l - 37. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/((1*sqrt(24))\/sqrt(6)))\/((sqrt(48)\/(sqrt(12) - -1*sqrt(12) - sqrt(12)))\/sqrt(2)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -19*f**3 - 15*f**2 - 40*f - 10. What are the prime factors of s(-5)?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687737 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Let s = -28 - -29. What is the smallest value in s, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 182.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 - 8*m + m + 11*m.\nAnswer: 4*m - 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 11598710*g - 168162592080125.\nAnswer: -(g + 28996775)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 69*u**2 - 246*u - 312.\nAnswer: 3*(u - 4)*(u + 1)*(u + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ehhhe?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/2 + 14\/(196\/(-21)). Let q(k) = k**2 - 3*k. Let w(i) = -3*i**2 - 174*i + 97. Let l(a) = o*w(a) + 5*q(a). What is the first derivative of l(r) wrt r?\nAnswer: 4*r - 189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 13*m**2 - 11*m + 10. Let k be g(-12). Let p(b) = 53*b**2 - 3*b - 2. What are the prime factors of p(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-8 + 3)) + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2125*q**3 + 6390*q**3 - 2127*q**3 - 2124*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49c + -1c8?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from eqgyzqt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39096 = -29*c + 276134. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 817*f**3 + 875*f**3 + 4344*f**3 + 1407 - 8799 + 1431*f**3 wrt f?\nAnswer: 22401*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5820578 and 9369.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 + 10*u + 16. Let h(k) = -7*k**2 + 189*k + 66. Let x(t) = t**2 - 35*t - 13. Let v(m) = -2*h(m) - 11*x(m). What is 5*c(a) - 7*v(a)?\nAnswer: -a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32*209\/(-1408))\/(-19).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Which is the nearest to 0.1? (a) 0.3 (b) -1 (c) 9 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1392 and 51\/80.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 12)\/3 + 9 + -3. Let c be (-8060)\/(-60) - x\/3. Is c at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 4*q + 2*q = -51. Which is the closest to -0.2? (a) -2\/7 (b) -3\/7 (c) q (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50894539517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5874358 (base 9) in base 16?\nAnswer: 3080f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let f(u) = 2*u**2 - 18*u + 217. Let s(y) = -7*y**2 + 51*y - 652. Let i(o) = -17*f(o) - 6*s(o). Calculate m(i(j)).\nAnswer: -8*j**2 - 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0*b - 4. Suppose -m = -1 - b. Suppose -8 = -5*i - 4*h, -5*i + 6 + 4 = m*h. Solve 5 + 23 = 5*n - 2*q, 2*n + 5*q + 12 = i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 742\/33 - 68\/3. Let d be 4*((-22)\/(-8) - 3). What is the closest to d in 4, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6664351250*a**3 - 1499478569450*a**2 + 103904992*a - 1800.\nAnswer: -2*(a + 225)*(57725*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -248706, -248724, -248744, -248766, -248790, -248816?\n\"Answer: -x**2 - 15*x - 248690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 18328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 312 + -307. Let u be (x\/3 + (-105)\/90)*4. Suppose 2*k - 8 = -0*k. Solve -k*v + u = -10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0. Let k(g) = 1. Let b(u) = 0 - 15*u + 22*u + 1 - 6*u. Determine v*k(j) - b(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -167835*d**4 + 3*d**2 - 2*d - 2548190 wrt d?\nAnswer: -671340*d**3 + 6*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-25)\/10 - -3)*0\/(-1). Factor 0*t + p - 1\/4*t**2.\nAnswer: -t**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -399.22806 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 27104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/6)\/5*-6. Suppose -n*c - 20 = -5*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(35\/3)*(-6)\/9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o = -b + 60, 5*o = 5. Calculate the greatest common divisor of b and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 18*t + 14. Let u(p) = 245*p + 188. Let d(x) = -27*s(x) + 2*u(x). Suppose 3*b + 2*n + 10 = 0, 3*b + 26 = -2*n + 4*n. Give d(b).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2028 and 886860.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 869595.9983 + -869557. Let d = -38.845 + -0.155. Let j = d + h. Round j to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/30*-45)\/((-2)\/(-40)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1312 and 107\/40.\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1155. Let h(x) = -3*x. Calculate h(c(l)).\nAnswer: 3*l - 3465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o + 5*o + 4*o + o in the form y*o + t and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -129828, -259624, -389418, -519210, -649000, -778788, -908574?\n\"Answer: y**2 - 129799*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2535 and 45864.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1112203 (base 4) to base 9\nAnswer: 7534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7198 - -0.15535338158?\nAnswer: -7197.84464661842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 119, 221, 377, 593?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 84491?\nAnswer: 253473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.57625 centimeters in meters?\nAnswer: 0.0457625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-8)*(-2)\/7*-7. Suppose -w - 466 = -2*k + 227, g*k - 1716 = -3*w. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 194\/8 - 4\/16. Suppose -q + n = 2*q. What is the greatest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-10))\/(2\/105). Suppose 4*a + 10 = 2*a. Let m be 2\/a + f\/35. Is m greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/21 and -85\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12720*i + 12752*i + 448 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 4*q = -762. Suppose -248*m = -q*m + 4620. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 147 = -2*p + 133, 0 = 4*p - w + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3208*c = -4475*c + 1400*c - 150792 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(44)*4*-3 + 3*sqrt(176)*1 + -4)**2.\nAnswer: 96*sqrt(11) + 1596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1490 + 1326.8. Let w = s + 155.77. Let c = w - 0.07. Round c to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 119023845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10004119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000303561195 rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h - 4. Let c(v) = -2*v + 2. Let x(d) = -5*c(d) - 3*r(d). Let p(q) = q + 3*q - 3*q. Suppose 0 = 2*j + 2*j - 16. What is j*p(z) + x(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 26 - -49) + -8 + -2 - (80 + -37)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-17)\/((-340)\/(-90)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p - 85. Let q be i(-10). Let d be 66\/(-110) + 17\/q. Sort 5, d, 2, 3.\nAnswer: d, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 272 - 164. Is 21 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.208 + 3.208. What is the smallest value in -1, z, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 5 - 7 + 23*n in the form v + p*n and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 8:03 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3175 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**4\/12 + c. Suppose 5*y - 2*y - 5*x = 24, 3 = -3*y - 4*x. Let t(p) = -3 - 3*p**2 + y. Calculate j(t(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30593, -29733, -28837, -27887, -26865, -25753, -24533?\nAnswer: -23187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330508183 and 7567.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - a = -3*d - 27, 4*a - 18 = 2*d. Let q be 2 - (2 - 6 - d). What is the second biggest value in q, -4\/7, -3\/7, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (1 - 1\/(-1)). Suppose b*f - 22 = -2*f. Suppose 24 = 2*l - 2*v + 6, -l + f = v. Calculate the least common multiple of 6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 9*o + 4. Let w(m) = m**2 + 1. Let s(n) = -2*w(n) - x(n). Calculate the remainder when 45 is divided by s(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 3*h - 18, s + 4*h + 30 = -h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1207.55 - -1092.644. Round a to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/2304*-324*-5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**5 + 5*o + 2*o - 19*o**5 + 12*o wrt o?\nAnswer: -340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4700)\/752*((-30)\/(-50))\/((-156)\/32).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 3*h. Let r be v(-3). Let w = 0.05 - -2.95. Which is the smallest value? (a) w (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -78.9. Let k(m) = -2*m + 3*m + 3*m + 2. Let w be k(-1). What is the smallest value in w, 5, p, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90445.\nAnswer: 5, 18089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -5*h + c, 4*c - 2*c - 4 = 0. Let g(u) = u**3 + 6*u**2 - 11*u - 8. What is the least common multiple of h and g(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 4*m. Suppose -3 = 3*b, -2*o + b + 11 = 2. Let s(t) = -3*t**3 + 5*t. Calculate o*s(x) - 5*w(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 9*g + 3*g + 2*g + 0 - 4*g.\nAnswer: 10*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5096502134.\nAnswer: 2, 2548251067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 11, 32, 71, 134?\n\"Answer: f**3 + 2*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1630 equal to -1630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from ueurheraqrqerue?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 9*r**2 + r + 12. Let c be s(-9). Suppose 0 = 2*g + 4*k + 2 - 0, 51 = 4*g - c*k. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 15*a - 190. Let o be t(8). Let n(d) = 4*d**3 + 6 + d - 5*d**3 - 1 + 8*d - 4*d**2. Calculate n(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70525817201065 take away -12?\nAnswer: -70525817201053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -37648280 to the nearest ten thousand.\nAnswer: -37650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7649*f**3*v**3 - 15*f**3*v - v**3 + 27889*v with respect to f.\nAnswer: -22947*f**2*v**3 - 45*f**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8859.638mm to meters.\nAnswer: 8.859638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*d**3*j**2 - 2*d**3 + 4*d*j**2 + 121 with respect to j.\nAnswer: -38*d**3*j + 8*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/28 + 36*b**3\/7 + 1944*b**2\/7 - 131*b + 105. Let y(j) be the first derivative of l(j). Determine z, given that y(z) = 0.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -n - 75, -2*x + 93 = 3*x - 2*n. Suppose 5*t + 2*i - x = 0, 3*t - 8 = t - i. Solve 4*z - t*j - j = 0, 5*j = 4*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -868576 by 7.\nAnswer: -868576\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**3*s**3 + 15*b**3*s - 4*b**2*s**4 + 13*b**2*s**3 + 2*b*s**2 wrt s.\nAnswer: -18*b**3 - 96*b**2*s + 78*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -19\/12 (b) -4 (c) 4 (d) -2 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 18 = 131 + 27. What is the highest common divisor of 15103 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3))**(-2\/59)*o*o*(o\/(o\/o**(-2\/15)))\/o*o*o**5*o assuming o is positive.\nAnswer: o**(2314\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/11 and 2 - (-3)\/(-6) - 10260\/5920?\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 2 (c) 3\/5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q + 7 - 3 + 1 - 3. Is c(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 2.2156937916041\nAnswer: 11.2156937916041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-36))\/(10\/(-15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*d - 3*c + 28, -5*d + 4*c + 10 = 0. Solve 0 = d*q - 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54151488 divided by -73376.\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.5, 0.54, 16\/7 in decreasing order.\nAnswer: 16\/7, 0.54, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 + -171. Suppose m + 5*r - 24 = 4*m, 5*m + r + 12 = 0. Let t be m\/(4\/(16\/(-3))). Solve -t*v - v = -d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 10, q: 9}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 - 2 = -5*d, -d = q - 23. Suppose -3*w - q = -7*w. Let c = w - 1. Calculate the least common multiple of 18 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -49, -0.2, 4, 4.4, -1\/3?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x\/(x\/(x\/x**0)))**6*((x\/(x**(-1\/3)*x))\/x)**(-14\/15)*x**3*x**0*x*x*((x**(-1)\/x)\/x)**(-14\/3) assuming x is positive.\nAnswer: x**(1963\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -102103211030 (base 4) to base 14\nAnswer: -8ccb92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 10:57 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 88, 298, 704, 1372, 2368, 3758?\n\"Answer: 11*t**3 - t**2 + 6*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1642, -3292, -4942?\nAnswer: -6592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 25*f + 25*f - 6*f + 10*f.\nAnswer: 51*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.633984897 rounded to one decimal place?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318704?\nAnswer: 2, 313, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 3*w - 24. Find the common denominator of 50\/w*(-21)\/(-112) and 27\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + 0*z**2 - z**4 + (2*z**3 - 2*z**3 - 4*z**3)*(-7 - 2*z + 7) + z**4 + 2*z**4 - 4*z**4 to the form s*z**4 + k*z + f*z**3 + b + c*z**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 10. Let g = 101 - -75. Suppose f*v + 56 - g = 0. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(68) + sqrt(68))*1)\/(3*(1*sqrt(4) + sqrt(4))).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.949 - -2.99. Round r to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 10*d**2 - 11*d + 32. Calculate g(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 330\/17 (b) -6 (c) -4 (d) 8 (e) 0.09 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2426 is divided by 403.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -1\/10*u**4 - 3 + 0*u**2 + 0*u + 0*u**3. Factor y(j).\nAnswer: -2*j**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 65*s**2. Let m(y) be the first derivative of y**3\/3 - 290. What is m(p(r))?\nAnswer: 4225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/28)\/(1\/16*4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 + 0)\/(-16 + 15))\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-12)*(-90)\/(-135)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*c*i*k*m + 29*c*i*m + c*k*m + 11*c*k - i*k + i*m - 4*i - k + 1 wrt m?\nAnswer: -9*c*i*k + 29*c*i + c*k + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -16*z + 2. Let d be t(5). Let u = -19 - d. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - a74?\nAnswer: -a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1609 - -1619. Solve 0 = 9*z - x*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -246, -260, -280, -306?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*r = 18933 - 12801 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 19*y**5\/15 + y**4\/12 - y**3\/6 + 3*y**2 - 6*y. Suppose 0*l + 4 = 4*l. Is 38 a factor of g(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2107*m**3 - 12950*m**2 - 3571*m - 252.\nAnswer: -(7*m + 1)**2*(43*m + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2581 + -2519 + 1 + -165\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 + 1 = 0. Let z be (-26 - (-2 - 1)) + 2. Let v = 25 + z. Solve -r = n + v*r - m, -6 = -2*n - 4*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:28 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 97 - (28 - (-21 + (-31 - -72)))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5213683 (base 9) to base 12\nAnswer: b23570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**6*u\/u**2)**4*(u*u*u**(-2\/3)*u)**(3\/10)*u**(2\/13)\/(u*u\/(u*u**(-5\/3))*u) assuming u is positive.\nAnswer: u**(-8897\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**16*d\/d**(-9))\/(d**(-7))**37 assuming d is positive.\nAnswer: d**255","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oouoyooooooooyooy. What is prob of sequence yuoy?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9726877?\nAnswer: 61, 159457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -455056 divided by 7?\nAnswer: -65008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 792*q + 602*q + 84*q - 254*q - 65*q in the form n + m*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-10) + 3*12\/18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -369?\nAnswer: 221.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znzonzzozn. What is prob of picking 1 o and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25155690629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 296.2 + -295.2. What is the closest to t in 4, -9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 36 - 10*v + 9*v - v**2 - v in the form b + x*v**2 + j*v and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, -253, 1, 4 in decreasing order.\nAnswer: 4, 2, 1, -10, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -45. What is the second derivative of -7*q + 18*q**v - 12*q + 4*q wrt q?\nAnswer: 216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/8*8\/(-12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27668 + -27670. What is the nearest to 0.27 in 3, -6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1132)\/(-2))\/(-13 + 6 + 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 60. Let n(r) = -r**3 - 9*r**2 + 16*r - 220. Let c be n(-12). Calculate the highest common divisor of c and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/13, -37, -0.4, 12, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891)*-1*-3)**2 + 5 + sqrt(891) + -3.\nAnswer: 9*sqrt(11) + 14258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3251499038 and -5.7.\nAnswer: -3251499043.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -403*i - 377*i + 861*i - 2*i + 5*i - 4*i + (2 - 5 + 1)*(-2 + i + 2) + 0*i - 6*i + 4*i.\nAnswer: 76*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -966 - -966.001005. What is p rounded to five dps?\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + 11 + (2005 - 13). What is the greatest common factor of t and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9898*r**4 + 3*r**2 + 20*r + 9237386?\nAnswer: 39592*r**3 + 6*r + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (2 + 2)\/2. Suppose p = 3*b, q + 4*b - 19 = 9*b. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 5*z**2 + 14*z**2)*(48 - 202 - 317).\nAnswer: -7065*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 34 = -4*h, -4*h + 2*d = -0*h - 54. Suppose -4*y = h - 111. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13*g. Let x(b) = 6*b + 59238. Give c(x(z)).\nAnswer: 78*z + 770094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4, 873, -9, 0.5, 0.3 in decreasing order.\nAnswer: 873, 4, 0.5, 0.3, -2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 1:50 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (1\/(-2))\/(2\/(-4)). What are the prime factors of (248\/m)\/((-10)\/15)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 50*b**3 + 31*b**2 - 142*b. What is the ten thousands digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0085 - 0.04.\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289810 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249\/166*(-4)\/(-108).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 5*x**2 + 4*x**2 + 124*x - 51*x.\nAnswer: -6*x**2 + 73*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-12))\/2 - (-64)\/120. Which is the nearest to 1? (a) -3 (b) -464 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + 142. Does 14 divide (-2 + 40\/12)\/(2\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.2. Let y = v + 0.4. Let p = y - 0.1. Put -5, -0.2, p in increasing order.\nAnswer: -5, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 3. Let m be o(-4). Let v be (m\/3)\/(3\/171). What is the greatest common factor of 152 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27552, 27565, 27602, 27675, 27796, 27977?\nAnswer: 28230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 582723 or 582106?\nAnswer: 582723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13 + 16 + 10\/(-8))*56. What is the greatest common divisor of 224 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfxfifmiffiffofwxff. What is prob of sequence xf?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/13 - 20*m**3\/13 + 34*m**2\/13 - 16*m\/13.\nAnswer: 2*m*(m - 8)*(m - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 3*b + 2548 + b + 9266 - 4*b**2.\nAnswer: -b**2 - 2*b + 11814","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2151\/(-12))\/(-3) - -2. Let j = 2215\/36 - r. What is the third biggest value in j, -1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9004246 a multiple of 1635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1467 and -41\/207.\nAnswer: 33741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 5*m**3 - m**3 + 2*m**3 + 0*m**2 + 0*m**2 + (0*m**2 + 5*m**2 - 3*m**2)*(-4*m + m + m) + 0 + 0 + m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2\/9, -0.06, -2\/31, 0.4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*q - 10. Solve -22 - 10 = -4*y + 4*x, -q*x = 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*d - 15*d = -134*d + 20*d - 4466 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5012?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13882*b**3 - 11*b**2 + 11. Let l(j) = 2777*j**3 - 2*j**2 + 2. What is -11*l(d) + 2*n(d)?\nAnswer: -2783*d**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 868 and 1341144?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 227830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -41. Let a(n) = -n**2 + 10*n + 2. Let f be a(10). Find r, given that 24*r**3 - 52*r**f - 26 + 48*r + 10 + 3*r**4 - v*r**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, -4, 9229, -11.\nAnswer: -118, -11, -4, 9229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2\/3, 0.17, 14\/11, -1\/8 in decreasing order.\nAnswer: 11, 14\/11, 0.17, -1\/8, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**3 + 6*d**3 + 9*d**3 + (-d**2 + 0*d + 0*d)*(0 + 3 - 2)*(-3*d - 2*d + 2*d) as k*d + p*d**2 + r + f*d**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*p - 2 = -0, -19 = -5*d + 2*p. Suppose 0 = 4*c - 7*c - 45. What is the remainder when ((-5)\/c*51)\/1 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 90942.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/9 or -233\/11?\nAnswer: -233\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) + (-3)\/9. Suppose m = -q - 3*q + 52. Solve 3*g - 4 - 7 = 4*c, 5*c - 3*g + q = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85087*t**3 - 284791.\nAnswer: 255261*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -797575, -1595153, -2392735, -3190321, -3987911, -4785505, -5583103?\n\"Answer: -2*j**2 - 797572*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2\/4 - 339*i - 38307 = 0. Calculate i.\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -6*8\/36. What is the second smallest value in p, 3, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -473, -1820, -4059, -7184, -11189, -16068, -21815?\n\"Answer: l**3 - 452*l**2 + 2*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 1, d: 2, c: 2, m: 1}. What is prob of picking 2 d and 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 105, 0 in increasing order.\nAnswer: -9, -4, 0, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 61 + 66*k.\nAnswer: 66*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 12*g**3\/5 - 16134592*g**2\/5 + 5378188*g\/5 + 10756392\/5 = 0.\nAnswer: -2\/3, 1, 1344549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.045, -1\/4, 1, 0.06, 4\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1289 times -7436\nAnswer: -9585004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300)*2)**2*1 - ((sqrt(1300) - (-1 + sqrt(1300) + sqrt(1300))) + -1)) + (4*(sqrt(1300) - (1 + -1*sqrt(1300))))**2.\nAnswer: -630*sqrt(13) + 88416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02 and -850.\nAnswer: -849.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p - 4*v + 22, 4*p - 3*v = 11. What is the smallest value in -2\/7, 1, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 8\/7 + 92\/7*v**3 - 22\/7*v**2 + 20\/7*v**5 - 40\/7*v + 86\/7*v**4 = 0.\nAnswer: -2, -1, 1\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 4, -4.\nAnswer: -4, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v**(2\/5))\/((v\/((v**(-1)\/v)\/v))\/(v\/(v\/(v\/v**(-1))))) assuming v is positive.\nAnswer: v**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 17*b + 20. Let h be i(-17). Let n = 2 - h. Let x = 18 + n. Solve x = -q + 2 - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0154485 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1034 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 475, 878, 1259, 1570, 1763, 1790, 1603, 1154?\n\"Answer: -8*t**3 + 37*t**2 + 348*t + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 + 16)\/(6\/4). Find the second derivative of -4*h**2 - 2*h**2 + 4*h + 0*h + h**a wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/20 + 3*g**4\/8 + 5*g**3\/6 - 2*g**2. Let z(i) = -2*i**2 - 5*i - 3. Calculate 3*d(r) + 5*z(r).\nAnswer: -r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 2*s**5\/15 - 139*s**4\/6 - 142*s**3 - 20*s**2 - 4. Solve d(t) = 0 for t.\nAnswer: -3\/2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009127625513 to seven dps.\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 34.5. Let k = h - -0.52. Round k to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.7426888 - 869.\nAnswer: -850.2573112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2641, -5316, -7953, -10534, -13041, -15456, -17761?\n\"Answer: 3*x**3 + x**2 - 2699*x + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 24061.3065 microseconds?\nAnswer: 0.00000027848734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 19898 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*t**3 + 9*t**3 + t**3 + t**3.\nAnswer: 13*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2*a - 3*a)*(124*a**4 + 126*a**4 + 20*a**3 - 253*a**4 + (2*a**2 + 2*a**3 - 2*a**2)*(-59 + 59 - 19*a)).\nAnswer: -41*a**5 + 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 15*a**2 - 2*a**3 - 1 + a - 56*a**4 + 58*a**4 to the form o*a**4 + z + y*a**3 + d*a + w*a**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 15. Suppose j = 4*o + 25 + 26, 4*o + r*j + 71 = 0. List the prime factors of (o\/(-8))\/((-5)\/(-140)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8426, 8400, 8374, 8348, 8322, 8296?\n\"Answer: -26*k + 8452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-99)\/(-132) + (-66)\/56. Sort 16, b, 1 in ascending order.\nAnswer: b, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324494 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/35)\/2)\/3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 2*h**4 + 2*h**5 + (2 - 2 - 2*h**3)*(-89*h**2 - 776*h**2 - 87*h**2).\nAnswer: 1906*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4*1\/(-3)*2. Which is bigger: -14\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1400 and 1?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f*f\/f**(-2\/13)*f\/(f**4\/f)*(f\/(f*((f**(-2\/11)\/f)\/f)\/f)*f)\/f*f\/(f\/(f**(2\/9)\/f)) assuming f is positive.\nAnswer: f**(5866\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 2 (b) 0.028 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-5) + (-2)\/5. Differentiate -4 - 4*t + 0 - h with respect to t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c. Let i(k) be the first derivative of -5*k**3\/6 - 2*k + 3. Let v(s) be the first derivative of i(s). Determine q(v(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 252701350, 252701351, 252701352, 252701353?\n\"Answer: t + 252701349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/40)\/((-12)\/(-16)). Suppose -10 - 17 = -3*z. Let a = i - z. What is the common denominator of -16\/9 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 10. Let l be n(-7). Suppose 5*v - l = 2*d - 207, -5*v - d = 213. Let p = -27 - v. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b**2 + b + 0*b - 13*b**2. Let p(y) = y**3 - 7*y**2 + 7*y - 8. Let i(f) = -f**3 + 9*f**2 - 6*f - 10. Let l be i(8). Let d be p(l). Calculate q(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - 145 - -89) + -50.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 47. Suppose -2*u + 5*p - 16 = 2*u, 0 = i*p - 20. Let v = -6 + 10. Which is the third smallest value? (a) u (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12900203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -290 by -50105.\nAnswer: 58\/10021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(85)\/sqrt(5) - (sqrt(1088) + -2 + sqrt(1088)).\nAnswer: -15*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11917 - 11917. Factor 0*a + 0*a**4 + a**2 - 1\/2*a**5 + p + 3\/2*a**3.\nAnswer: -a**2*(a - 2)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvn when four letters picked without replacement from snvsvvsssnnznnv.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 314 - 218. Let d = 204 - b. Let t = -108.061 + d. Round t to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i + 5 = 0. Suppose -d + 4 = -i. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1220, 2440, 3660?\n\"Answer: 1220*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus 238585548927?\nAnswer: -238585548926.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.5 + -7. Suppose -4*u - 7 = -3*f - 27, -4*u = -5*f - 28. Sort x, u, -1\/3.\nAnswer: -1\/3, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20333, 20336, 20341, 20348, 20357?\n\"Answer: o**2 + 20332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -699, -5 in ascending order.\nAnswer: -699, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/2)\/(((-6)\/(-42))\/(-1)*(-854)\/122)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -777 + 520?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2 - 13. Suppose -12 = 4*z, d*j - 5 = -2*z + 1. Find the second derivative of -3*o + o + 26*o**4 - 30*o**j wrt o.\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1062*(-8)\/144 - -9*2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*c = 81*c - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2532, -19819, -66604, -157635, -307660?\nAnswer: -531427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from cxxjcxjjjxjx.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/12 + 2*u**2 + 1. Let c(w) = -38*w**2. What is q(c(i))?\nAnswer: -76*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573)*2 - sqrt(1573)) + -1)**2.\nAnswer: -22*sqrt(13) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -199, -205, -203, -187, -151?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -230, -243, -278, -347, -462, -635, -878?\n\"Answer: -2*h**3 + h**2 - 2*h - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2. Give k(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 20. Let c(x) = -x**3 - 7*x**2 - 7*x - 3. Let y be c(t). Is y\/6 + (-194)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53913042 is divided by 89260.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 2. Suppose -7*l + 30 = -2*l. Let i be u(l). Suppose 25 = 5*x, 5*g - 15 - 30 = -i*x. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.932528 rounded to three dps?\nAnswer: -1.933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55522 greater than or equal to 55523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9 = 5*w - 3, 0 = -5*l + 2*w + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/931 and 13\/1197.\nAnswer: 8379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k - 2*k**2 + (-2*k**2 + 0*k**2 + 0*k**2)*((5 - 5 - 5)*(-2 + 1 - 1) - 2 + 0 + 0).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*(b*b\/(b*b*b*b*b\/(b*b**(2\/39)*b)))\/b*b*b))\/(b\/(b\/(b\/(b**(-1\/31)*b)))) assuming b is positive.\nAnswer: b**(-1310\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:40 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.02, 0.01, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 73 - ((-12)\/3 + -3). Find the second derivative of -r*n + n**2 - n**2 - 18*n + 106*n**5 - 8*n wrt n.\nAnswer: 2120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -499113\/5 or -99824?\nAnswer: -499113\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 15*w**2 + w - 21. Determine m(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 0*h + 24 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3780.9 and 0.38?\nAnswer: 3780.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.06, -65\/6 in increasing order.\nAnswer: -65\/6, -1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from anfji.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 17*o - 52. Let h be n(-6). Let c(v) = -88 - 12*v**2 - h + 174. Let m(u) = -7*u**2. Determine m(c(g)).\nAnswer: -1008*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l**2 + 17*l - 15. Calculate a(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 15*c**2 - 15*c + 16. Let n be m(-14). Factor -27 + 37 - 5*t**2 - 20*t - n.\nAnswer: -5*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -8. Suppose 0 = 5*p - q - 6, p + 0*q = -3*q - 2. Let j be (-1)\/(p + -1 + -14 + 13). Put -1, r, j in increasing order.\nAnswer: r, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28768 and 10851829.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3594.\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322180904 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnbbbnnnfbnf. What is prob of sequence bffb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 6*p**2 + 2*p - 8. Let v be c(7). Let t = v + -39. Suppose 67 = 2*o + o + 5*g, 0 = -4*g - t. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 1, z: 4, i: 3, t: 7}. What is prob of picking 1 h and 1 z?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 0. Let p(z) = -z**3 + 9*z**2 + 11*z - 8. Let f be p(10). Let c(w) = 0 - 157*w**2 - 3 + 161*w**f. Let x(j) = 15*j**2 - 11. What is o*x(a) - 22*c(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1242.1, 0.1, -0.87?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-1)*(-4)\/10. Let h be (-44)\/12 + 6\/(-18). Let j be (-3)\/(-9)*(-4 - h). Put g, j, -2 in decreasing order.\nAnswer: g, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1521436 (base 7) to base 3.\nAnswer: -101112000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 3.436.\nAnswer: -2.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 - -2623. Calculate the highest common factor of 101 and p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*2 + (6 - 3). Let t be 2\/8 - (-84)\/(-80). Which is the biggest value? (a) w (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 19 + 288*k**3 + 30 + 292*k**3 - 590*k**3 + 0*k**4 - k**4 to d*k**2 + c + b*k + v*k**3 + t*k**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 223*v**3 - v**2 - 3*v + 1. Let w be p(1). What is the greatest common divisor of w and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 800.7 - 801. What is the second biggest value in -1, h, 0.2, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19053493*p**4 + 4095153*p wrt p.\nAnswer: 228641916*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4311 divided by 615?\nAnswer: 1437\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3534 + -8468. Let v = j + 2731. Round v to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -79206?\nAnswer: 1\/39603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -616.5 - -652.43. Let y = 91 - 55. Let u = y - f. Which is the nearest to -0.2? (a) -0.3 (b) 1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16079 divided by 2297\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(-2 + sqrt(13)).\nAnswer: -8 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674*c**2 - 1345*c**2 + 669*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 16. Let g be y(12). Let j be (-14)\/5*(-20)\/g. Let z be 0 + 2 - (-29)\/j. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1625*a + 225. Let l(u) = -29*u + 4. Let i(z) = -4*h(z) + 225*l(z). Let n(v) = -2*v**2. Calculate i(n(m)).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 75\/1028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82737829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*j + 5 = 0, -3 = 2*x - 5*x - 5*j. Let p be ((-2)\/10)\/((-3 - -5)\/(-10)). Do x and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y - 4*j + 14, 0 = -y - 5*j + 10. Solve 0 = -3*m - 4*c - 12, 0*m - m - 4 = y*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -34*c - 16. Let t(o) = o**2 - 8*o + 11. Let n be t(5). Calculate the remainder when y(n) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10817287 is divided by 314?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 227, 150, 23, -154, -381, -658?\n\"Answer: -25*u**2 - 2*u + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) -4 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d = -5*d - 227885. Let m = -8208 + d. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.2 (b) 7 (c) -2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5, 14*s - 5*x + 10243 = 16*s. List the prime factors of s.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8085450 and 11319630?\nAnswer: 56598150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255150007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 3*a - 7. Let n = 51 + -53. Let l(g) be the second derivative of g**2 + 2*g + 0 - 1\/6*g**3. What is n*d(y) - 7*l(y)?\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 25. Let z be ((-8)\/s)\/(154\/33). Suppose 5 = -t + 2. Which is the third biggest value? (a) t (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z + 2*z - 6 + 2*z - 17*z. Let h(t) = 2*t + 5. Suppose 5*a + d + d = 12, 5*a + 5*d = 0. Let n be (-11)\/33*(1 + -10). Calculate a*h(u) + n*w(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 0.5 (c) -16 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(16 + -8)*3. Solve 0 = 4*j + 3*o - 17, l*j + 4*o = -j + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2\/9 + 116*c + 14746 = 0?\nAnswer: -303, -219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -363 (base 10) to base 15.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010 (base 5) to base 7.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k = -815832. Suppose k = 3*u - 804042. Suppose -m = 3*m + u. What is m rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 46. Let k(q) = -q**2 - 16*q - 2. Suppose h + 1 = 5*s - 4, -3*h + 2*s - 15 = 0. Calculate the remainder when k(h) is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2077133 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**8))\/c)\/(c**(-1\/25)*c*c))\/(c\/(c**18\/c*c))**36 assuming c is positive.\nAnswer: c**(15026\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120391901.\nAnswer: 7, 137, 125539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.79763 to 0 decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228536 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10679458?\nAnswer: 2, 37, 277, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -297782.066 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45333221 (base 7) to base 12.\nAnswer: -13a093b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -71, 2\/21, 272?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*g**3 + g**2 + 4 - 3*g**2 + 30*g**3 to the form y*g**2 + h + a*g**3 + q*g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*(-156)\/494?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 834217 + 1668434 - 834217.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1572504874.\nAnswer: 2, 29, 67, 131, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c - 0*c + 800. Calculate the remainder when c is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -478*u + 25. Is 6 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -0.10936827764\nAnswer: -2.89063172236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, 215.56, -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 6*l**2 + l + 7. Let f be q(-6). Suppose -4*y - 4*b = 4, -2*y - f = -y - 2*b. Let j = -1046 + 1057. What is the closest to 1 in y, -4, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/3 - -2 - (-1700)\/(-150). Which is smaller: -10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5199, 5141, 5023, 4827, 4535, 4129?\n\"Answer: -3*b**3 - 12*b**2 - b + 5215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from fxxffx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806616876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -40.4. Let v = 5 + -3. Let t = l + v. Which is the third biggest value? (a) -8 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*r - 15288 = 42*r. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 176662 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/13 and 79\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 15*a**2 - 17*a - 10. Calculate f(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274384003 is divided by 1095.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1840*v**3 - 902*v**3 + 4332*v**3 + (-4*v**3 + 2*v**3 + v**3)*(3 - 2 - 2).\nAnswer: 5271*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 9*h**3 + 2*h**4 - 10*h**3 - h**3 - h to the form n*h**2 + p*h**3 + t + r*h**4 + y*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52881808 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238212.4 nanometers to meters.\nAnswer: 0.0002382124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**(-1\/5)\/h*h*h**3)**(-3\/2))**(-2\/127) assuming h is positive.\nAnswer: h**(87\/635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 12) to base 13.\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 208 and 411.50299.\nAnswer: 619.50299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3\/3 + r**2 - 2*r + 3. Let k be h(2). Let t be 30\/4*k\/(-3). Solve t*w - m - 4*m = 5, -12 = 2*w + 5*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -31. Is 2\/31 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*l + 80648*a*c*l**3 + 9*a*c + c*l**2 + 29876*c + l**3 - 2*l**2 - 4*l with respect to a.\nAnswer: 4*a*l + 80648*c*l**3 + 9*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/12*7\/((-35)\/(-3))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/646, -80\/9.\nAnswer: -80\/9, -4, 1\/646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 - 1755*y**4 - 9*y**3 + 5259*y**2 + 3510*y = 0 for y.\nAnswer: -1, 0, 2, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 8:19 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1437)\/(-126) - 5 - 84\/(-882).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10 + ((-6426)\/(-45))\/17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.92 - 0.08. Let k = -704 - -697. Put k, y, -4 in ascending order.\nAnswer: k, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2587 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 253 + -1?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 40*m + 152 = -136 - 69 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1\/22, -5, 1\/6, -2\/41?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 31*v - 58. Let b be j(2). Suppose 4*w = -b*o + 388, 4*o + 4*w - 2*w = 390. Calculate the greatest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592597?\nAnswer: 592597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - u. Let i be x(-1). Let j be (-3)\/5 + i + 1. Suppose -5*v + g + 3*g = 9, -4*g = 3*v - 1. Is j less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-4 + -7 + 1 - (25 - 33)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 3) in base 15?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3841 is divided by 1340.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3732 and 1122.\nAnswer: 697884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) -10193 (c) -1518\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {u: 1, j: 3, r: 1, d: 3, s: 6, e: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from bnbnbfnnnbnbbfbn?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 49*b**2 + b**4 - 49*b**2 + b**3 to the form z*b + u*b**2 + j*b**3 + c + v*b**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 341 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1861*p. Let d(r) = 146*r**2. What is m(d(s))?\nAnswer: -271706*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 8, v: 8, n: 1}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33644934 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, x: 7}. Give prob of sequence xxx.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/6 + 5221*c**3\/6 - 31205*c**2\/2 - 202897*c\/6 - 52030\/3 = 0. Calculate c.\nAnswer: -1, 20, 5203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*h - 11*h - 7*h**3 + 26*h wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 45763 and -69.212.\nAnswer: 45693.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -h. Let m be (1 - -1 - 1) + -2 - -1. Is h less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*(-1 + 3\/2). Suppose -8 = x*c - c. What is the biggest value in c, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) + (-42)\/(-9). Let n = -22 + 33. Suppose -n - 13 = -t*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*y - 3 = 7, 5*y = 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 5*s**2 - 8*s - 9. Let r be d(-6). Let m = -317 + 317. Let g(o) = -3 - 4*o**2 + m*o**3 + 4*o - o + 2*o**3 - o**2 + o**2. Give g(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6756693 to the power of 1\/2, to the nearest integer?\nAnswer: 2599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2691, 5270, 7849?\n\"Answer: 2579*z + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*p + 13006, 5*p = q + 1314 - 5664. Let l be q\/300 + (2 - 1). Let h = -47\/3 + l. What is the common denominator of h and -73\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s + s - 3*s)*(38*s + 174 - 53*s + 39*s + 7*s) in the form k*s**2 + b + l*s and give k.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -899 + 901. Let q(x) be the second derivative of 3\/10*x**5 - 2\/3*x**4 + 0*x**u + 0 - 7*x + 1\/3*x**3. Factor q(c).\nAnswer: 2*c*(c - 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14248 - -14300. Calculate the remainder when 3\/(185\/340 + 2\/(-4)) is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8161846949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4 + 209*r**3 + 8382*r**2 + 50332*r - 135880 = 0?\nAnswer: -158, -43, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from uuudduuuddrrrruu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -393006, -785952, -1178880, -1571790?\n\"Answer: 9*i**2 - 392973*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 18 = -5*z, 5*l = -z + 9 + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/11796 and 59\/579282.\nAnswer: 1138868412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11404 - 2341324?\nAnswer: -2324420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -7, -4 in descending order.\nAnswer: -4, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21632*q**2\/3 - 37024*q\/3 + 15842\/3.\nAnswer: 2*(104*q - 89)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -348?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (10 - -1) + -9 + 4 + -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {f: 4, d: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 8*w**2 + 16*w + 32. Calculate u(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6947929 by -20617.\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4.9655 * 8\nAnswer: -39.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and -4.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -36*y**3 - 2*y - 2 - 44*y**3 - y**2 + 79*y**3 + 2 - 5. Give a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 872, 1242, 1542, 1748, 1836, 1782?\nAnswer: 1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -6666 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**5 + 2*l**5 - 5*l**5)*(-5 + 3 + 0)*(2 + 2 - 3)*(29 - 14 + 21)*(-4 + 0 + 5) - l**5 - 2*l + 2*l.\nAnswer: 143*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94.05 - 97. Let q = o - -3. Let h = -2.05 + q. Which is the second smallest value? (a) h (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 473\/(-43) + 0 + (5 - 1). Let d be (6\/(-4))\/(0 - -4). Let a be 4\/6 + (-13)\/6. What is the third smallest value in a, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*q + 2*q = 2*w + 5*q + 14, 5*w = -298*q + 5975 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(21)\/(sqrt(3)*2)*-5 + (sqrt(1008) - (sqrt(1008) - (-4 + sqrt(1008)*2)))).\nAnswer: -20 + 215*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 8*l - 14. Suppose -4*s + 3*s - 17 = 0. Let r = s - -6. Let j be n(r). Calculate the greatest common factor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/144 and 11\/3384.\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:17 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 15. Let a be j(-15). Let q be (28\/8)\/7*a. Suppose -5*w - 4*y + 132 = 0, w - 2*y - y - 15 = q. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*q + 44 = 14, 64*f = 61*f - q - 26 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1081*l + 1100*l + 82306100 = 0. What is l rounded to the nearest 10000?\nAnswer: -4330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54014 is divided by 1284?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6) - 3\/(342\/931)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 2*c + 31. Determine a(-6).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 401004 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/614304 and -97\/18144.\nAnswer: 4300128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, x: 2, f: 5, q: 1, t: 3, c: 2}. Give prob of sequence ffw.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4526 - -0.0526. Which is the biggest value? (a) -0.1 (b) -3 (c) -1.9 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -539, -1246, -2277, -3656, -5407?\nAnswer: -7554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -4. Let f(l) = 9*l - 1. Let k(h) = 13*h + 2. Let q(y) = 27*y + 5. Let u(g) = 7*k(g) - 3*q(g). Let z(j) = 5*f(j) - 4*u(j). Determine z(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*o = 14, 4*i + o = 4*o + 20. Suppose 2*v = -3*p - 38 + 203, -3*v - 3*p + 249 = 0. Let y = v - 79. Solve -x + y*t = i*x, -2*x - t = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.98 - 0.22. What is the third smallest value in 0.5, 0.2, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26328 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/608 and -13\/11.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 8, -548, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.476 - -9.556. Let m = f + -9. Let i = 0.0799984 - m. What is i rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88620.\nAnswer: 2, 3, 5, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*t - 9*t - 33*t - 2*t + 0*t + 4*t + (2 - 2 + 1)*(-4*t + 2*t - 3*t) + 4*t + 0*t - 3*t to the form r + k*t and give k.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.690682 grams?\nAnswer: 0.000690682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 8. Let d(p) = 7*p + 14. Let h be 1\/((-1)\/(-8)) + -1 - 5. Calculate the remainder when d(h) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*12*(-1 + 2). Let y = -75 - f. Let b = 54 + y. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*u - 2*z, -2*u + 103*z - 107*z = 6. Let a(j) = -j**3 + 9*j**2 + 5*j. Determine a(u).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21984 = -4*h - 5*b, -11006 = -0*h - 2*h + b. Let k = -2484 + h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546*m - 535*m + 1081*m + 25422*m**2.\nAnswer: 25422*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 21 = 3*i, -3*s - 3*i = -33. Let n(c) = 10 - 10 + c. Let m be n(s). Solve -m = -2*x - x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**4 - z**3 + 2*z. Let l(j) = -2*j**5 - 2*j**4 + 93*j**3 - 394*j**2 - 2*j. Let d(c) = -l(c) - s(c). What is the third derivative of d(y) wrt y?\nAnswer: 120*y**2 + 24*y - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -308 - -311. What is the remainder when 25 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62729, -62712, -62695?\nAnswer: -62678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a factor of 605132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3286973*n**6 + 770501*n**2 + 1?\nAnswer: 394436760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 3*k + 7*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 568?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -7. What is the nearest to b in 3\/2, -1\/2, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 2. Let p(c) be the third derivative of -1\/3*c**4 - c**2 + 0*c + 17\/6*c**3 + 0. Determine 6*p(w) - 51*q(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -578.2+0.3\nAnswer: -577.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 268 + -263. Which is the nearest to -2\/7? (a) 9 (b) f (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2448 - -44051\/18. What is the common denominator of i and -41\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = -5*s - 10*i, 49*s + 0*i - 1 = 50*s - 4*i for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132490 is divided by 2082?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 3. Let h(k) = -k + 2. Let m(d) = 7*h(d) - 4*i(d). List the prime factors of m(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) -0.1 (c) 7 (d) -1\/7 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*f**2 + 5*f**2 - 7 - 14*f**2 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4885 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -56 and -42359?\nAnswer: 42303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-15)\/8)\/5. Let v = w - -1\/8. Which is the third smallest value? (a) v (b) -1\/4 (c) 2\/9 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(3564\/(-88)))\/((-16)\/9)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -4*(-2 - -1)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = -107*o - 610 + 412. Which is the closest to o? (a) -9\/7 (b) -1\/3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*m + 2*m = 16, -3*r = -4*m + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*z + 2*j, -5*z = -2*z + 5*j - 37 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 13*r**2 + 15*r. Determine d(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 28 + -6 + 22?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-12 + 10)) + 8 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 3*m + 12, 188*m + 5*j = 190*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -v - 3, 6*v - 8*v = -5*z - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -15.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-6)*37\/(-74).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/22 and 1\/7*217\/(-12).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.1073 rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 21*p. Let b be v(2). Let y be (3\/5)\/(7*33\/308). Sort -4, b, y in increasing order.\nAnswer: -4, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2078*b + 736*b + 89089 + 121961 = 0 for b.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msv when three letters picked without replacement from mvmsssssss.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.006 not equal to -0.007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*a - 12564 + 12564 as r*a + q and give r.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**4\/12 - m**3 - 257*m**2. Let u(f) = f**3 - 5*f**2 + 3*f - 1. Let g be u(4). Let j be i(g). Solve y = -j*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/58169136?\nAnswer: 1\/58169136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5852?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -13*t**3 - t**2 + t + 1. Suppose -4*x = 20, 2*d + 3*x = -2*d - 19. What is the tens digit of w(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 + 0 + 0)*(8680 - 17366 + 8684 - 195*i**2).\nAnswer: -780*i**5 - 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 649262.5g in micrograms?\nAnswer: 649262500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Which is the second smallest value? (a) 1 (b) n (c) 3\/5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhuhuhuhhhhhhhhhh. Give prob of sequence uh.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10592?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 3*t + 87. Let x = t + -64. Suppose -3*i - 5*s = -5*i + 29985, 2*i + x*s - 30009 = 0. What is i rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 1. Let j be u(-4). Suppose k - 4*q + 11 = 0, 0*k - 43 = -2*k - j*q. Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42551?\nAnswer: 17, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126 - 107) + -112 + 138.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -8\/3, -0.4 in increasing order.\nAnswer: -8\/3, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3.8. Let u = -4.7 - -4.7. Let l = q - u. What is the smallest value in 2\/15, 0.02, l?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 834926 divided by -2.\nAnswer: -417463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 4 (c) -5 (d) -29 (e) 22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -128321468?\nAnswer: -128321470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, r: 4, d: 4, q: 2}. Give prob of sequence dndr.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9302*j - 3958*j - 690*j.\nAnswer: -13950*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -38634 divided by -38634\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2905*r - 1342 = 2966*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150 or -448\/3?\nAnswer: -448\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22765356 and 90.\nAnswer: 113826780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 28. Suppose -8*w + k*w - 248 = 0. Suppose -60*u + w*u - 4 = 0. What is u rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 take away 0.70861984201?\nAnswer: -0.73261984201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/15)\/((-1)\/(-6)). Factor -9\/7*m**k - 1\/7*m + 0 - 3\/7*m**3 + 5\/7*m**2.\nAnswer: -m*(m + 1)*(3*m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 15*r**2 + 2*r - 217. Calculate j(0).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 899 - -1193. Let y = -1392 + h. Suppose -11*p + y = -4*p. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 + 10\/16. Let j = 5\/7 - 23\/42. Let x = j + 1\/3. Sort x, z, -3 in descending order.\nAnswer: x, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, 1\/11, 0.02, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1167 - -5?\nAnswer: 116c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -174 + 177. What is the first derivative of s - 54*r**2 + 39*r + r**2 - 39*r wrt r?\nAnswer: -106*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.7399 years to millennia.\nAnswer: 0.0107399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**2 + 433392*k + 4*k**2 - 433343*k - 1.\nAnswer: -11*k**2 + 49*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5537779*b**3 - b**2 - 32597*b - 4 wrt b?\nAnswer: -33226674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 12.6. Let w = 0 + -0.2. Which is the biggest value? (a) w (b) -1\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 1\/45 (c) 1.44 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 3*r + 15, -15 + 5 = 2*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26917 and 27494492.\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 4*n**2 - n**3 + 0*n - 6 - 2*n**2. List the prime factors of w(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273)\/338*-13*(-24)\/28.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 2:18 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -342089.4331 rounded to the nearest one thousand?\nAnswer: -342000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137710 to the power of 1\/2, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/(-15) - 11)\/(3\/(-9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v - 2. Let r be (-15)\/6*2\/10*4. Let l be (10\/15)\/(r\/(-6)) + -4. Give a(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.47 and -0.02159?\nAnswer: 0.0749173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 99090 = -5*y, -45*y + 43*y = 14. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882584 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d + 72. Determine w(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2297446 and 356?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170801 is divided by 27320.\nAnswer: 6881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 123*z - 1302 = 0 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 204908205 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 404115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 930*x**2 - 169*x + 478. Let w be h(3). Is 8340 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/((-70)\/175*(-1)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*a - 85, -4*a - 4*f - 44 = -0*f. Let z = 16 + a. Solve 0 = -n + 1, j + z*n = n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 3*s**7\/70 - 11*s**5\/60 + 16*s**2. What is the third derivative of w(y) wrt y?\nAnswer: 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from zzzhhzzzzszzhhzstts?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2595518 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1, 63, -1356, 0 in ascending order.\nAnswer: -1356, 0, 1, 2, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 30 = -50 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + -3 + ((-5*(sqrt(68) + (sqrt(68)*-2 - sqrt(68)) + sqrt(68) + sqrt(68)) - sqrt(68))\/((sqrt(96)\/sqrt(3))\/sqrt(8) + sqrt(4))*-5)**2).\nAnswer: 393\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2656 by 8.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 1 + 5)\/((-2)\/8). Let s(l) = -2639*l - 207. Is s(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 8 (b) -4 (c) -0.5 (d) 17 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11640267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94530551.\nAnswer: 701, 134851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40 - 3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*q - 73*q = 910. Suppose 0 = 4*v + 2*p - 536, v - 2*p + 43 = q. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 56*y**2 + 2*y. Let o(s) = -s**2 - 23*s - 21. Let x be o(-22). Let m(j) = 8*j - 2. Calculate the remainder when n(x) is divided by m(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2332*j = 6801*j - 277078 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uua when three letters picked without replacement from {y: 2, a: 1, u: 3, e: 10, s: 1, j: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m + m. Let q = -2.5 - -2. Let n = -8834 - -8838. Put m, n, q, 0.3 in descending order.\nAnswer: n, m, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8236.37 millilitres?\nAnswer: 8.23637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -73606*p - 294425. Determine z(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2222 (base 3) to base 14\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00251642 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tddpdcpddptpdtfc. What is prob of picking 1 p, 1 f, and 2 t?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -972?\nAnswer: -978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/(-258720)*14)\/(3\/(-9)).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14822 and 400194.\nAnswer: 400194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -457.2298 rounded to 0 decimal places?\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4010059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*f = -3*o + 309, -5*o = -f - 400. Suppose 4*a - 2*n - o = -7*n, 5*a - 2*n = 60. What is the derivative of 29*t + 31*t + a*t**4 - 8 - 60*t wrt t?\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, s: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 33, -14574?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -87*x + 69*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/47 (b) -0.8 (c) -3\/4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/441 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 + -81. Let l be ((2 - 4) + 2)\/1. Suppose f*v - 4*x = -0*v + 108, l = -x - 1. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5153 + -82475\/16. Calculate the common denominator of m and 11\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 + 75. Calculate the highest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -5. Let o = -0.8 - -0.3. What is the third biggest value in c, o, -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 1841*y + 126 - 40 - 43 to the form o*y + s and give o.\nAnswer: 1841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 115*s**2 - 3037*s - 211. What is b(-74)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 62. Is (-3)\/((-6)\/h) + 11445\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 1. Suppose -38*c + 37*c = -23. Let d = c - 20. Let h(k) = 6*k + 13. Let r(w) = d*f(w) + h(w). Differentiate r(o) wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67799 - -203398\/3. Factor g*v**2 - 1\/3 - 1\/6*v**3 + 1\/6*v.\nAnswer: -(v - 2)*(v - 1)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 391 - 378. Find the second derivative of -n*m - 7*m - 5*m - 147*m**4 + 2 wrt m.\nAnswer: -1764*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63445 (base 11) in base 14?\nAnswer: -25940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 - 43 = -3*q, 5*f = q + 83. Suppose 6*l + f = 10*l. Suppose -2*y - 48 = -3*r, r + 48 = l*r + y. Which is greater: 15 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502284*r = 502363*r + 158 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/2)\/o)\/(o\/((o\/(o**(1\/2)*o)*o)\/o)))\/((o**(-2)*o)\/(o*o**10\/o*o)))**(28\/9) assuming o is positive.\nAnswer: o**(224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118335 and 26726.\nAnswer: 19643610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.04, -4\/5, -3\/4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8 - -8.71. Let b = -6 + h. Round b to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r - 393. Calculate v(-40).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2407 - 1663. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6062 and 154.\nAnswer: 66682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 40*x. Let g(y) = y - 28. Determine g(j(q)).\nAnswer: 40*q - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 16 = 2*w, 5*g + 12 = -0*g - 4*w. Let p = g + 8. Suppose -4*v = -3*c - 1797, p*v + c - 6*c - 1803 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10127.959 rounded to the nearest 100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in 0.2, 2\/3, 0, 5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -70. Let o = 219\/13 + u. Suppose -24*p + 23*p = 33. Which is the nearest to 0.1? (a) 0.2 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 f when three letters picked without replacement from {f: 1, v: 1, e: 2, s: 2, w: 1, j: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -30, -36, -40, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2647*a + 26477. Determine x(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-100)\/(-15) - 1)*-9. Let s be (-4)\/(-12) + (-184)\/3. Let h = c - s. Calculate the highest common divisor of h and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvccpppccvcvcpv. What is prob of sequence cvcp?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*j - 8, -2*j + 13 = -0*j - 3*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Suppose -30*n + 25*n = -10. Let h(k) = -n + 653*k - 629*k + 2. What is h(b(c))?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 107 = 421. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.232 * 225427.\nAnswer: 52299.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 158?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 756 (base 13) to base 7\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 37. Which is the nearest to h? (a) 3\/2 (b) 1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 7, -3, 0 in decreasing order.\nAnswer: 48, 7, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 540*h + 1140*h + 3 - 509*h as i*h + r and give i.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-340)\/1558 - (924\/5016)\/(14\/(-24)).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = c + 8*d + 4, c + 4 = 5*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v = 385 - 53 + 1288. What is the greatest common divisor of v and 11214?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 146*q**2 + 157*q + 643. Give y(-74).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197731183 to the power of 1\/2, to the nearest integer?\nAnswer: 14062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3255 - 410.\nAnswer: -410.3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/6 - 5*a**2\/2 + 4*a. Let t(o) be the second derivative of -o**4\/3 + 9*o**2\/2 + o. What is -4*t(g) - 7*y(g)?\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 4*g + 5 + 7*g**2 - 3*g**2 - 2. Let m be r(-3). Let b(v) = 3*v. Let x be b(1). Solve -i + m*i = -x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 5 (c) -0.3 (d) 1\/105 (e) -11540\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w. Let v(n) = -n**3 + 7*n**2 - 7*n + 9. Let c be v(6). Let z be ((-6)\/4)\/(c\/(-4)). Let a(x) = -21*x. Let h(l) = z*a(l) - 9*j(l). Determine h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 44. Let t(j) = j**2 + 16*j - 17. Let s be t(g). Suppose -q - 28 = -l - 4*q, -3*l + 4*q + s = 0. Calculate the remainder when 62 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -1 - (-10 + 4 + 12). Let o be 2\/5*(-2)\/g*1. Which is the biggest value? (a) -7 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26420055*q**3 + 7645866 wrt q?\nAnswer: 79260165*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 4007*i**4 - 7*i**3 + i**3 - 3999*i**4 + 5*i**2 to the form k*i + j + h*i**4 + x*i**2 + s*i**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:49 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365575?\nAnswer: 5, 7, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/((w**(-3\/4)\/w)\/w)*w*w*w)\/w*w)\/w)**(19\/4)*(w\/(w*w\/w**3)*w*w)\/(((w\/(w\/(w**(-4\/11)\/w)))\/w)\/w))**41 assuming w is positive.\nAnswer: w**(284499\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26198197*a**4 - 2848840 wrt a.\nAnswer: 104792788*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98 + 91*i - 289*i + 3*i**2 + 257 + 183 - 147*i.\nAnswer: 3*(i - 114)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55933793.522 take away 5?\nAnswer: -55933798.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2354*u + 100. Let y(g) = g - 25. Determine d(k) + 4*y(k).\nAnswer: -2350*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 - 2 = 0. Let o be 6\/4*(-8)\/(-4). Suppose 7*x = o*x + 16. Put x, y, -3 in ascending order.\nAnswer: -3, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 - 27\/(-5). Suppose 5*i + 2*b = -35, -1 - 14 = -2*i + t*b. Is -4 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130490?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -28.7?\nAnswer: -143.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Let h(a) be the second derivative of 0*a**2 - 1\/6*a**3 + 2*a + 0. Determine x(h(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667811534 to the power of 1\/2, to the nearest integer?\nAnswer: 51651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 434437 + 434437.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 11*r + 8. Let x be l(11). Suppose s - 5*v + 13 = -0*v, -4*v = s - 23. Suppose -s*o - 127 = -x*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*q + 469*q - 175*q - 17568 = -533*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 22 - 2, -2*x + 4*k - 6 = 0. Let t(d) = -4*d - x*d + d + 3*d - 20. Is t(-12) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 51*h**2 + 25*h - 22. Let t be i(-26). Let j be 1*2*(-6)\/54. Let r = 7\/18 + j. Which is the smallest value? (a) t (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -116*a**2 - 4*a + 6. Let m(n) = -347*n**2 - 12*n + 17. Calculate 4*m(w) - 11*y(w).\nAnswer: -112*w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/30 - s**2. Let y(h) = 0*h**2 + 24796*h - 24796*h - 2*h**2. Calculate y(w(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1221, 1350, 1479, 1608, 1737, 1866?\n\"Answer: 129*b + 1092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 + 2*m**2 + 749*m + 6356. Let a(h) = -h**3 - h**2 + h - 2. Let u(r) = -2*a(r) - p(r). What is the derivative of u(n) wrt n?\nAnswer: -3*n**2 - 751","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7003389919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4960 - 696 - 1530)*(-3*u + 3*u + 2*u**3).\nAnswer: -14372*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(4\/7)*b**27)**22)**(2\/51))**(-13\/2) assuming b is positive.\nAnswer: b**(-55198\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 28 + g**4 - 38 - 34*g**2 + 10 + 5*g**2 in the form x*g + c + i*g**3 + d*g**2 + m*g**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -186.4 times -34518\nAnswer: 6434155.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/8346 and -92\/1605.\nAnswer: 41730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 2. Let j(x) = 7*x + 4. Let l(h) = -2*j(h) + 5*r(h). Calculate the remainder when 5 is divided by l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -182.\nAnswer: -3\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 - -2 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 8:01 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7635269, -7635264, -7635259, -7635254?\nAnswer: -7635249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 + -143. Let p = o - 5. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)\/(p**(1\/5)*p)*(p**2)**(3\/5))**(-1) assuming p is positive.\nAnswer: p**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 2\/((-2)\/96*-4*4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w + 153. Let o be u(-17). Suppose o = 55*n - 73*n + 900. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 22*z**2 - 10*z - 16. Let n be x(2). What is the highest common divisor of 13312 and n?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04581 - 200.79419. What is n rounded to the nearest integer?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53\/3 in 0.16, -1\/2, -0.1, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2762 + -2761.9999994708. What is s rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -9782.14 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**(-1\/3)*(a\/((((a**(1\/2)\/a)\/a)\/a)\/a))\/(a\/(a\/(a\/a**5*a))) assuming a is positive.\nAnswer: a**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17520 divided by -219.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 a when three letters picked without replacement from {g: 10, a: 8, i: 1}?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w + 2. Let y(p) = 19*p - 6. Give 7*r(b) + 2*y(b).\nAnswer: -4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*s + 53 = 45, -n + 2*s = 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 424519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = j - a, -5*a - 8 - 12 = 0. Let n = 154 + j. Solve 2*y + n = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32108*a - 17494*a + 6340*a.\nAnswer: -43262*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/6)\/(-2 - -1). Put 1, -3, g in ascending order.\nAnswer: g, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*g - 645 = -4*d - 154*g, 2*d - g = -5 - 38 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 12*h**2. Let g be y(-12). Suppose t = -g*t + r + 9, -5*r - 33 = -4*t. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179731092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*m - 0*m + 42, 84 = 5*d + 2*m. Let q(b) = -2*b - 19. Let s be q(-10). Let k(j) = j**2 + 5*j + 11*j + s - d*j. Give k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -25 + 3460*x**3 - 25*x**2 + 6*x - 20*x - 20 - 3462*x**3 + 8. Give o(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(3*a + a - 5*a) + 34 + a - 34 + 3 - 3 - 2*a - a + 6*a - 3*a + (a + 4*a - 3*a)*(-1 + 3 + 0).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -130623 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -28*i - 65. Let c(b) = -6*b**2. Give j(c(t)).\nAnswer: 168*t**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 91946.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2. Suppose 0 = 3*b - 4 - 5, b = z + 4. Let p(j) = -7*j**3 - 46*j**2 - 48*j - 9. Let l(u) = z*p(u) + 5*o(u). Factor l(q).\nAnswer: 3*(q + 1)*(q + 3)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 19 - 14 + 43 - 33.\nAnswer: 11*g - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-81)*(-3)\/(-2)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -89\/6, -1, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -26*s**2 + 207*s + 168. Let a be z(4). Let b(j) be the second derivative of 4*j**3\/3 - 2*j. What is b(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/4 - (-5 + 2). Suppose 16 = -l + w. Let d(q) = q**3 + 13*q**2 + 12*q + 5. Let p be d(l). Solve 0 = 4*x + 3*c - 22, p*c - 2*c - 2 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 4:53 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.9 - -2.8. Let p = z - -3.74. What is p rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2966561 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 1. Let a(c) = -134*c**2 - 1 + 5 + 130*c**2 + c - 5. What is -a(j) + 2*g(j)?\nAnswer: 2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - m + 3*m + 1364, -3*m + 355 = i. Let d = -28313\/54 - -14278\/27. What is the common denominator of 1\/(-5) - i\/110 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - m + 25. Sort m, 3, 0, -2\/15.\nAnswer: -2\/15, 0, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 3*w + 5*n, 5289469*w - 5289467*w + 3*n - 37 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -14*w + 5. Which is the closest to w? (a) 4 (b) 1\/5 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*n**2 + 2 - 4*n**2 + 3 to the form y*n**2 + z*n + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122347 (base 11) in base 3?\nAnswer: -21000211120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**4 - f**2 - 2*f + 1. Let s(q) = 627*q**4 + q**3 + 3*q**2 + 6*q - 208. Let c(n) = -3*h(n) - s(n). Differentiate c(o) wrt o.\nAnswer: -2520*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*o - 4 = 0, o = 2*x - 5 + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 0.2 in ascending order.\nAnswer: 0, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -44.6, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.81 + 47.19. Which is the smallest value? (a) -4 (b) 2\/23 (c) -1 (d) -1\/2 (e) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 228 = -4*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 88*d + 1798. What is s(-27)?\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443303*m = -443252*m - 2550 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 + 123. Suppose 5*v + 327 = h, h + b*v = 4*v + 324. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 135020817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 26*c**2 + 48*c + 52. Calculate z(24).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 j when three letters picked without replacement from {f: 1, q: 1, j: 2, n: 5, v: 3, d: 8}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -64299.57 and -2.10583.\nAnswer: -64301.67583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -4 + 0 + ((sqrt(550) - -3*sqrt(550)) + sqrt(22))\/sqrt(11))*5 + 2.\nAnswer: -18 + 115*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -948*a + 1846*a - 954*a. Let h(x) = 2*x - 6. What is f(h(c))?\nAnswer: -112*c + 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 = -h - 5*n, 6*h + 555 = 7*h - 6*n. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let t(f) = 3*f**2 - 12*f. Let m(k) = 12*p(k) + t(k). Let j(g) = -2*g**2. Let y(u) = u**2. Let z(l) = -j(l) - 3*y(l). Determine m(z(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 57.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -17, 2 in descending order.\nAnswer: 2, -17, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419 = 29*d - 128 + 289 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 17 (b) -20 (c) -290 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 31 = -4*p, -p = 2*p - 4*a - 47. Calculate the remainder when 34 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/20 and 59\/23160?\nAnswer: 23160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 15937*w - 1099656. Calculate m(69).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 21*z**2 + 14*z + 28. Let x be v(-11). Put x, 4, 3, -7 in descending order.\nAnswer: 4, 3, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 + -3.7. Round u to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.74 + -31.34. Let m = -31 - j. Which is the closest to -3\/7? (a) m (b) -3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/3, -1\/3, 129?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 + -232. What are the prime factors of (-18)\/45 + w\/(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400911 (base 10) in base 11?\nAnswer: 877586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15420000 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b + -2669?\nAnswer: -263c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/256824 and 65\/199752?\nAnswer: 1797768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 25 = 3*t - 0*t, 2*y - 3*t = -1. Suppose 2 = 6*w - 7*w. Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(9\/3))\/((-4)\/8). Suppose -g - 3*i + 53 = g, k*i - 20 = 0. Calculate the remainder when g is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-3)\/((-21)\/14). Suppose 0 = 4*m - m. Suppose m = -k - 4*k - 25. Sort o, -1, k in ascending order.\nAnswer: k, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 2. Let o be s(4). Let w be 0*(-3)\/9 + o. Determine z, given that -2*z**w + 2*z**4 + 0*z**4 + 3*z**3 + 6*z + 0*z**4 - 9*z**3 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2154 and 118.\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 298*i + 276. Let r(c) = c**2 - 119*c - 110. Let t(k) = -5*b(k) - 12*r(k). Solve t(h) = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 32 = -2*g + 10, -2*g - 8 = 0. Suppose -18*o - i = -23*o. Calculate the greatest common factor of o and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 6*y**2. Let j be w(-5). Let r = j - -115. Suppose -9*d + r = -5*d. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18185, -1\/710, 4?\nAnswer: 18185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2600*l - 3820 = -2791*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18712686 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 16. Suppose -5*z - 3 = -l*z. Calculate the remainder when 11 is divided by (-2)\/6 + 13\/z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -10. Suppose -5*t - 2*j = 8, -i*t + 3*j = -8 - 4. Suppose -2*f + 5*f = t. Sort -1, 4, f in descending order.\nAnswer: 4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 455149.\nAnswer: 455152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 - -154.23. Round z to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 21*w**5 + 16017*w**4 + 232050*w**3 + 687300*w**2 + 475464*w - 197472 = 0.\nAnswer: -748, -11, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470795040425212805 + 470795040425212831 - 3*d**3.\nAnswer: -3*d**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 divided by -331?\nAnswer: -323\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 57, 82, 95, 90, 61, 2?\n\"Answer: -b**3 + 3*b**2 + 29*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 13*q + 18. Calculate u(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 62, -14, 1, 3, 4 in descending order.\nAnswer: 62, 4, 3, 1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -2*n - 3*s, -n - 2 = -5*s. Let i(r) = 3*r - 1. What is i(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 109 - 122. List the prime factors of n.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1134971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19705 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -1\/7, -3\/8, -4\/19063?\nAnswer: -4\/19063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3 - 118*r + 194*r**3 + 56*r**4 + 44*r + 52*r**2 + 15 = 0.\nAnswer: -3, -1, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935485 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 244*r**2 - 91*r**2 - 152*r**2 - 2*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 + 8)*(-2*t - 3*t + t).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 419312*n**4 - 3*n**2 - n + 8532291 wrt n?\nAnswer: 5031744*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101111101000101101 (base 2) to base 8\nAnswer: -575055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87651128?\nAnswer: 2, 2371, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - ((-48)\/4 - 0). Solve -r = -2*p + 3*d, 2*p = d - 4*d + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 60. Let g = -25 + n. Solve -33 = -5*v - g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b + 1. Let y be c(1). Let z = -22 - y. Let v = -30 - z. What is the highest common factor of 22 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -0.26046?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25719 is divided by 4270.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 685306698 to the power of 1\/2, to the nearest integer?\nAnswer: 26178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**6\/180 - a**4\/6 - 4*a**3\/3 + 3. Let l(f) be the third derivative of g(f). Let h(p) = -p**2 - 1. Determine -4*h(v) + l(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/7370 and -67\/12320.\nAnswer: 825440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007445 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38785082 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4809244 minus 0.4?\nAnswer: 4809243.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -54*p**2 - 2*p - 5. Let q(b) = 164*b**2 + 9*b + 14. Calculate 4*q(z) + 11*x(z).\nAnswer: 62*z**2 + 14*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -7. Let k(q) = q + 2. Let u(y) = 2*y + 3. Let b(j) = o*k(j) + 2*u(j). Let v(s) = 3*s. Determine v(b(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(50)\/sqrt(2))\/sqrt(5).\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385875.\nAnswer: 5, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 20349689?\nAnswer: -5\/20349689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g + 15*g + 34*g)*(10 - 5 + 16).\nAnswer: 756*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17736 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(3375\/63)*-25?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 27660059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 35 + 59. Calculate the lowest common multiple of 336 and f.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 2 + -42 + 69.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46)\/(-8) - 2\/(-8). Let d(t) = -1 - 3*t**2 + 2*t**2 + g*t + 4*t - 4*t. What is d(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2674 and -107\/12?\nAnswer: 16044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 + 58*i + 103. Let o be g(-22). What is the greatest common factor of 549 and o?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3366\/306 - (-1289)\/(-117). Let h = -6 - -5. Are h and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -10*t - 15. Let n(b) = -4*b**2 - 2*b + b**3 - 3*b + 0*b**2 - 2. Determine n(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.064 - -0.06. What is m rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**2. Let s(y) = 432152*y. Give s(h(a)).\nAnswer: 4753672*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.221665 micrograms to tonnes.\nAnswer: 0.000000000005221665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 6, q: 3, l: 4, k: 2}. What is prob of sequence lh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let l = 4 + -9. Let p(f) = -f**3 - 6*f**2 - 5*f + 2. Let n be p(l). Let u(x) = -2*x + 5*x - 5*x - n*x. Determine h(u(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(((-119)\/68)\/7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -1\/120*r**5 + 2*r**2 - 1\/24*r**4 + 0*r + 0 - 5\/6*r**3. Let j(v) be the first derivative of z(v). Determine j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5568 by 1392.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -754\/7 or -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d + 110. Let v be a(-10). What is the nearest to 1 in -2, 5, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v**2 + 2*v + (v + v - v)*(-199 + 37*v + 199))*(-7*v - v + 11*v).\nAnswer: 105*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -3*d**6\/4 - 9*d**5\/2 - 33*d**4\/4 - 58*d**3\/9 - 2*d**2 - 37. Factor q(y).\nAnswer: -y*(y + 3)*(3*y + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011240 (base 5) to base 13\nAnswer: -7640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693651274 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -2\/5 (c) 0.1 (d) -1 (e) 743 (f) 306 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -5. Let x = 8 - f. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 882987\nAnswer: 1765974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121912 and 3528?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3780079*f**3*h**2 + 2*f**2 + 1780*f*h**2 + 38*f*h + 6*h**2 - h wrt f.\nAnswer: -22680474*f*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-9) + 3)\/(16\/288). Suppose -17646 = 7*a - p*a. List the prime factors of a.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-35) + (-19)\/(-4)*(-225)\/(-15750).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/8 and 1\/859142.\nAnswer: 3436568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -518 - -642. Factor 189*z**3 + 583*z**4 - 8 - 358*z**4 - 24*z**3 - 506*z**2 + d*z.\nAnswer: (z - 1)*(z + 2)*(15*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + p = -2, 0 = r - 5*p + p + 3. Which is the nearest to -0.1? (a) r (b) -1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 1. Let u(v) = 9 + 21 - v**2 + 4. Calculate the remainder when u(0) is divided by g(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*x - 37*x + 51. Suppose -3*n - 10 = 2*n - 2*f, n - 15 = -3*f. Suppose 5*p - 255 = -n*p. Calculate the greatest common factor of x and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 27.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1053) - (1 + sqrt(1053))))**2 + sqrt(1053) + 2 + 5*(-5 + sqrt(468) + -1).\nAnswer: -3 + 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 8*s + 11. Let g be (1 + -2)\/((-1)\/12). Let v be g*2*(-1)\/3. What is the remainder when c(v) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38652?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 7*m + 0 - 5\/6*m**3 + 2*m**2. Calculate j(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/(-66) - 3\/18. Let j = 0.34 - -0.06. Which is the nearest to -1? (a) 2\/7 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11269344 divided by -12?\nAnswer: 939112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-14\/5)\/g)\/g)\/(g**(-1\/39)*g*g))\/(g**(-20)\/(g*g*g\/g**21)) assuming g is positive.\nAnswer: g**(-931\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaeeaaiea. Give prob of picking 1 i and 1 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - h + 0*h)*(h**2 + 0 + 0) + (-5211 + 10*h**2 + 5211)*(1 - h - 1) as o*h**2 + q + m*h + p*h**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.204 + 0.304. Let b = -4.4 + 0.4. What is the second biggest value in -2, b, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 7*v**2 + 3*v + 6. Suppose 3*k = -32 + 20. Determine z(k).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4876 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 2:59 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**2 - x - 1. Let v be d(2). Let o = 31 + v. Solve q = -2*j + o*q, 0 = -2*j + 2*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144576 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -47. Let d = k - -19. Sort -3, 4\/9, d in increasing order.\nAnswer: d, -3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 16388.\nAnswer: 16384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = h + 2, 3*k - 76 = 4*h - 61 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 714*f**3 + 5*f**2 + f - 25. Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -21, -23, -25, -27, -29?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**4\/12 - 11*w**3\/6 + 7*w**2\/2 + 85*w. Determine p(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61807 plus 232971?\nAnswer: 171164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9))**(2\/3) assuming u is positive.\nAnswer: u**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 1, p: 1, u: 1, j: 1, y: 2}. Give prob of picking 1 o, 1 m, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077437 rounded to six decimal places?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 - 4.9. Let z be 3*(12\/(-18))\/(12\/2). Sort z, -3, 0.1, k in decreasing order.\nAnswer: 0.1, z, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7326 divided by -1\nAnswer: -7326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -99, 2, 7 in descending order.\nAnswer: 7, 2, -13, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3 (b) -197 (c) 1\/8 (d) 0.1 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 30. Let t be 17 + (0 - 1) + 2. Let v(w) = 3*w**2 - 2*w + 1. Let d be v(1). Solve 5*k - d*k - 2*x = -t, -3*k = x + h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.67 less than 64.6236?\nAnswer: 137.2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0*w**3 + 4*w + 1\/2*w**2 - 1\/12*w**4 + 0. Suppose l(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 3. Let c be m(-6). Let b(l) = 2*l**2 + 61*l + 422. Let y be b(-20). Sort -4, y, 5, c.\nAnswer: -4, y, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(2\/37)*d**(-4) assuming d is positive.\nAnswer: d**(-113\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1\/4, -12, 2\/7, 1\/6, 0.2576?\nAnswer: 0.2576","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 543.85 to the nearest ten.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + 13 + p**2 - 3*p**3 + 7*p**3 + 2*p - 3*p**3 in the form z + i*p + q*p**3 + o*p**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + n + 775 - 3117, 5*s - 4*n = 2938. Calculate the remainder when 2358 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.92350351944 - 3.\nAnswer: -10.92350351944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 577 - 576.701. Let r = 1.299 - w. Which is the closest to r? (a) -4 (b) -1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 5. Give j(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287563518 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(5 - 0))\/1. Let q = 2\/4495 + 444997\/17980. Let l = q - 25. Put l, 5, k in increasing order.\nAnswer: k, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 24*d**2 + 20*d + 78. Let a be y(23). Solve 20 = -2*k - 5*p - a, 4*k + 5*p = -33 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1213244014?\nAnswer: -1213244015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -6 (c) 0.02 (d) 913 (e) 7 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 97409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28778905.\nAnswer: 5, 137, 42013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 347074 and 6006.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-63)\/(-28) + -2 + (-55)\/(-20). What is the second biggest value in 2\/13, -4\/3, x, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -q - 3, 0 = x + q - 2*q - 3. Suppose -h + 4*v + 221 - 56 = 0, -2*h + 348 = v. Suppose x = -3*s + h + 172. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + 3 + (sqrt(891) - (-2 + (sqrt(891) - -1*sqrt(891)) - sqrt(891))) + 5 + 1*sqrt(891) + 1) + -2)**2.\nAnswer: 936*sqrt(11) + 4240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1791 and 747.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)*l*l**(7\/5)*l**3*l**(7\/4)\/l)**(2\/7))**(1\/8) assuming l is positive.\nAnswer: l**(59\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1535.21 - -1547. Let k = 12 - q. Let b = 0.01 - k. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.22 (b) 2\/13 (c) -20\/7 (d) 1 (e) 2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j - 21. Give g(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.064 and -7.39.\nAnswer: -7.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*y - 2 - 8*y + 3 + y - y - 3*y + (0 + 4 - 5)*(-2*y + 3*y - 3*y) - 2*y + 0*y + 4*y - 2*y + 3*y - 3*y.\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 7*r. Let m be 2 - (-21)\/(-6) - -1. What is the biggest value in r, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 938*a - 4*a**2 - 2*a**2 + 7*a**2.\nAnswer: -2*a**2 + 938*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and -1935.\nAnswer: -1951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604413.\nAnswer: 3, 67157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-8))**36\/(a\/(a\/(a\/(a**8\/a*a))))**(-25) assuming a is positive.\nAnswer: a**185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -15*y - 161. Let r be m(-11). Find the second derivative of -5*s + s + s + 158*s**r - 16*s wrt s.\nAnswer: 1896*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 497*l + 497*l - 13*l**3 - 67.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 3:27 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 102102?\nAnswer: 204204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z - 30. Let y(s) = -3*s + 65. Calculate 5*l(t) + 3*y(t).\nAnswer: 21*t + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.4 + 12.74. Round j to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxqxxxxxxq. What is prob of sequence xxx?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5)*b*(((b*b**2)\/b)\/b)\/b)\/(b*b**(-2\/3))**24 assuming b is positive.\nAnswer: b**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/((-156)\/18)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -230789*c + 230787. Calculate x(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5842a (base 15) to base 8\nAnswer: 1044751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90459342?\nAnswer: 2, 3, 19, 29389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -108658, -108637, -108616, -108595?\n\"Answer: 21*l - 108679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-21)*1)\/(7\/196)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 401*j - 679*j - 1 - j**2 + 1080*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 815 - 1075. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/18 - 92*2\/(-48). Is d bigger than 10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.3. Let w = -4049 + 28349\/7. Put t, 2\/3, w in increasing order.\nAnswer: t, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 1 + 7 = -6*x + 31 - 11, -38 = -4*x + 5*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/15 + 208*u\/15 - 214\/5 = 0. What is u?\nAnswer: -107, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1379 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -18) + -4 + (37 - 38).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 1\/2*o**2 - 1\/2*o**3 + 1\/10*o**5 + 1\/6*o**4 - 5*o - 1\/10*o**6 + 1\/42*o**7 + 0. What is c in a(c) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -11*v**3 - 133*v**2 + 267*v + 17. What is p(2)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -203 - 77?\nAnswer: -27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 7*p - 1. Let j(g) = -3*g**3 - 2*g**2 + 8*g + 9. Let b be j(-1). Determine v(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-10) + 2)*(9 - (10 + -5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234 and 117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660 by -110.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.287 - 1.207. Let p = 8 - 8.2. What is the biggest value in p, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 2183101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 375973 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 74, 62, 30, -28, -118?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + 26 - (-6)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfdd when four letters picked without replacement from dlllllfllldflll.\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o)**27*((o\/o**(2\/7))\/o*o)\/o**(-15) assuming o is positive.\nAnswer: o**(1055\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 12701168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {x: 7, b: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((100\/12)\/(-5))\/(1\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*b + 6152 = -11022 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.18458, 13 in descending order.\nAnswer: 13, -0.18458, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/9 and 1\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1419 = -380*w + 509*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 15*j**2 - 16*j + 35. Let t be w(14). Suppose 3*c + c - 20 = 4*m, -4*c = 5*m + t. Let b = 5 + m. What is the biggest value in -30, -1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 8*w**2 - 74*w + 469. Determine l(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-1 - (-26)\/6). Let f = 0.19 - -0.91. Let u = f - 0.6. What is the second biggest value in 2\/3, u, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6020590 by 38105.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.566055 centuries to millennia.\nAnswer: 0.1566055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119962748 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**3 + 1\/4*a**4 - 2*a + 0 + 3*a**2. Let o(v) = -8*v**2 + 17*v - 17. Calculate -17*j(h) - 6*o(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/276 and -43\/6.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 10) to base 14\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {h: 4, s: 3, v: 1, z: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35939141 to four dps.\nAnswer: 0.3594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480681*v**2 + 480681*v**2 - 11*v**3.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)*a**(-16\/5)*(a**(4\/15))**(-37) assuming a is positive.\nAnswer: a**(-376\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/2, 2, -4\/13, -2\/49?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 35*s + 41*s + 43*s - 2 - 123*s. Let m(x) = -8 + 31 - 22. Give -2*a(i) - 4*m(i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/9)\/(2\/3). Suppose -45 = -5*b - 5. Let h = b + r. Solve 3*m + h + 11 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16543 = 5*y + 2293. Let z = -5271 + 3424. Let f = z + y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 632965767 by -7.\nAnswer: -90423681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 1640.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 - 4.07. Let v = 1535 + -1535. Which is the nearest to -2\/7? (a) y (b) 3\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 5*g + 3. Let k be n(0). Let q be ((-5)\/4)\/(2\/8). Sort q, 1, k in decreasing order.\nAnswer: k, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -76*c + 3. What are the prime factors of l(-3)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 21041022?\nAnswer: -21041020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/13 (b) 2 (c) 17610 (d) 1.4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2 + 1)\/(30\/(-135)). Let l(o) = -o**2 - 9*o - 3. Give l(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (84\/98)\/((-1)\/14). Let v = 4.21 - 3.81. What is the biggest value in v, 2, x, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 3. Give c(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 0*q - 90 = 5*i, -i - 5*q = -11 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-516)\/(-8) - (-2)\/(-4). Suppose 2*w + 8 = t. Let y be (-507)\/(-12) - 2\/8. What is the greatest common divisor of w and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:06 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 3*h - 3, -24 = -5*s + 2*h + h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -1626, -5540, -13164, -25734, -44486, -70656?\nAnswer: -105480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 42706650.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 9 (c) -3 (d) 0 (e) 0.06 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -71, 344.8, -19?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)\/(b*b**2*b)*((b\/(b\/b**(-2\/5)))\/b)\/(b\/((b*b*(b*b**(1\/4)*b*b)\/b*b)\/b)))**(21\/5) assuming b is positive.\nAnswer: b**(-3843\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -18*d**3 - 9*d**2 + 17*d - 47. Let m be i(-16). Suppose -3*l - g = l - m, -4*g = 12. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.95 + 0.05. Let l be 55\/(-25) - 4\/(-20). What is the closest to -1 in -3, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001470817 rounded to 5 dps?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5131*k - 5128*k + 21 = 0, k = 3 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83\/28 + -19\/7. Which is greater: t or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/4 (b) -5 (c) 0.3 (d) 134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6360 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/6*150\/200?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 11\/20*r**5 + 19\/40*r**6 + 3 + 0*r**3 - 9*r**2 + 1\/14*r**7 - 3\/8*r**4 + 0*r. Factor i(h).\nAnswer: 3*h*(h + 1)*(h + 3)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10101022022?\nAnswer: 10101022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -865 = -5*x - 5*r, 3*x = -4*r + 604 - 80. Let u = x + -71. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 540 - 763. Which is the nearest to -3? (a) s (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/8 + 2)\/(2\/(-8)*2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-51)\/15 + (-16 - 39*(-77)\/165)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 1. Suppose -w = 4*w. Suppose w = -4*o + 13 - 5. Let m be h(o). Solve -m = -0*z - 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (1\/2)\/(5\/680)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*a - 20, -a = -6*a - 5*f. Solve -a*s + 38 = 14 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/5, 0.955, 670 in decreasing order.\nAnswer: 670, 0.955, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, -907, 0, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -467*l + 59. Calculate the remainder when g(0) is divided by 2*(-2 - -17) + 1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from {j: 3, w: 3, b: 6, q: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + 2.4. Let k = g + -8. Let x be 88\/(-96) + 2\/3. What is the second biggest value in k, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-27))\/(12005\/9261).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 315*z - 10721. Determine a(34).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t - 1. Let w be 100\/8 - (-6)\/(-4). Let f(a) = 6 + 4 - 24 + w - 3*a**2 + 4*a. What is f(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*w - 34 + 16, -2 = 5*c + 3*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*r + 29 - 136 - 18.\nAnswer: 180*r - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -66, -68, -70, -72, -74?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -35, -72, -125, -200, -303, -440, -617?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**9\/10080 + z**7\/336 - z**5\/20 - z**4\/2 + z. Let l(a) be the third derivative of i(a). Solve l(q) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 860982 divided by 138\nAnswer: 6239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -3 + (1 - (-8 - -23)) + 16\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - -161. Let l = -8223 + 8744. Let m = l - w. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 6*y**2 - 13*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 12:01 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t*t*t*t\/t**(6\/5))\/(t\/(t**(2\/3)\/t))**(-5\/13) assuming t is positive.\nAnswer: t**(451\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -3 + -11 + (-312 - -244)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 824*l**2 + l + 0.\nAnswer: -824*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 11 - 5 = -v, 0 = 2*v + i - 10. List the prime factors of (-5 - -3) + 249 - v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 61.82086 years?\nAnswer: 0.06182086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00002 + -0.19270863.\nAnswer: -0.19272863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71333 is divided by 23665?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-706)\/2471*(-14)\/(-3)*53202\/(-4)?\nAnswer: 2, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*j + 2*j - 12 = 0, 0 = -4*c - 4*j + 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 x when three letters picked without replacement from {b: 2, c: 5, q: 2, x: 4, t: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:45 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h**3 + 57118*h**2 - 114208*h - 3. Calculate q(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5)*-3 + -3).\nAnswer: 6 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88 - (-43 + 14)) + -88.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -8. Let n be (-14)\/(-21) + 188\/g. What is the third derivative of 29*m**2 + 2*m**4 + 2*m**4 - n*m**2 wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475035 is divided by 785?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (-5 - -6 - 16 - -12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 144*g**2 + 5684*g + 478207. Determine a(-76).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -160079, 22\/17.\nAnswer: -160079, 2\/3, 22\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2241635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8453a0 (base 16) to base 14.\nAnswer: 121a5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1964*f + 1967*f - 7192*f**2 + 7202*f**2 - 3931*f.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 5*s. Let y(d) = 2*d. Let x(q) = -2*b(q) - 5*y(q). Let f(v) = -12*v**2. Determine x(f(u)).\nAnswer: -288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77535038?\nAnswer: 2, 7, 29, 353, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/42 - 3)*(-5 + 77\/7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1557 and 28532544.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 680\/(-45)) + (42\/18 - 200\/15).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (38 - 4) - -12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - p + 56 = 2*y, -4*y + 2*p = -44. Let r = 19 - y. Calculate the remainder when 11 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -286700078 + 1?\nAnswer: -286700077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1620) - sqrt(1620))*6 - -2*-4*-2*(sqrt(80) - sqrt(5)).\nAnswer: 6 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22887, 45726, 68537, 91320, 114075, 136802?\nAnswer: 159501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(1 + 0 + 0)*(339262*k + 628*k**2 - 339262*k).\nAnswer: -628*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056317366.\nAnswer: 2, 13, 23, 37, 47741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 21. Let v be z(18). Suppose 5*s - 4*m - 6 = 24, v*s - 4*m = 10. Calculate the greatest common factor of 80 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a2 (base 12) in base 13?\nAnswer: -419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 + 82 - 82 + 0*v**4 + 4*v**2 - v to g*v + o*v**4 + m*v**2 + j + x*v**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -639*f + 2056*f**3 - 639*f - 649*f + 1927*f.\nAnswer: 2056*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 1283?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532.1038ml to litres.\nAnswer: 0.5321038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-40624)\/(-15234)*3\/(-9)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(1008)))**2 + -3 - ((-5 + 1 + sqrt(1008) - sqrt(1008))**2 + -5).\nAnswer: 864*sqrt(7) + 36310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20453?\nAnswer: 113, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*j - 250 = 0, -3*o - 364 = j + j. Suppose -25*y = -24*y - 535. Let r = y + o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351273 at most 0.882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42537 is divided by 42506?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469411 - 1159886. Let o = 460475 + g. What is o rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, f: 3, g: 7, x: 1}. What is prob of sequence gfu?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 26 + 3*c - 2*c - 6*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 452813870 rounded to the nearest one hundred thousand?\nAnswer: 452800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**6\/120 - y**5\/12 + y**2. Suppose 0 = 4*l + 2*q - 310, -2*l + 35 = -4*q - 95. Suppose -28*p - 65 - l = 0. Determine c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29097365.\nAnswer: 5, 11, 529043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*h, 0 = -5*l - 5*h + h + 19. Suppose -448 = -4*t - 2*f - 78, 4*f - 290 = -l*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times -49\nAnswer: -93.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 0*f - f)*(-55 - 62 + 47)*(-4*f**2 + f**2 + 5*f**2)*(3 - 3 + 2*f**2).\nAnswer: -840*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 11:18 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n - 4*s + 103, 5*s - 20 = 0. Suppose n*x + 332 = 33*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.076+23201\nAnswer: 23201.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16314 by -294.\nAnswer: -2719\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-3) + 9)\/(9\/6). What is the least common multiple of 15 and 8 - m*(0 - 2\/(-2))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 8:54 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 96\/114 - -3)*(-4)\/(-42)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 11:18 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-48) - 133\/(-228).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let g be (-42)\/(-9) - (-2)\/6. Solve -4*d = -a - 12, 0 = g*a + d - v*d - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -709 - -48?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-24 - (-5 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 55276?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 1614*k - 57248. What is r(-36)?\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 3*f**2 - 1. Let u(r) = -4*r + 2. Let w be u(0). Give a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**6\/57 - 162*o**5\/95 - 459*o**4\/38 - 450*o**3\/19 + 1872. Factor c(m).\nAnswer: -2*m**2*(m + 3)**2*(m + 75)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -94 - 26. Let u be (-4)\/(-10) + 1152\/r. Let x = -115\/3 - u. Sort 4, -4, x in decreasing order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 5)*(-2435 + 2426 - 90*f**2 - 5*f**4 + 63*f**2) to the form z*f + v*f**4 + n + w*f**2 + s*f**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnfnfcnfnn. Give prob of picking 2 f, 1 n, and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y - 8*y**3 - 4 + 6*y - 4*y**4 + 4*y**5 - y + 8*y**2.\nAnswer: 4*(y - 1)**3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 + 7*f + 2. Let p(h) = 2*h**2 + 3*h + 1. Let b(v) = -3*m(v) + 5*p(v). Determine b(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7. Let b(h) = 2*h - 9. Calculate b(y) - d(y).\nAnswer: 2*y - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-5)*(-80)\/6. Let q = h + -10. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.32 + 104.32. Let w = m - 108. What is the third smallest value in 0.04, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141311 (base 5) to base 14.\nAnswer: -21a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 38086.61 to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-6) - (-4)\/(-12). Let j be (-2)\/(-4)*n + 2. Sort j, 4, 3.\nAnswer: j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Suppose 0*v - q = 2*v + b, -2*b = 8. Differentiate -2*t**3 - v + 4*t**3 - t**3 wrt t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36135\/(-54) + 2\/3. Let j = 704 + o. What is the common denominator of 27\/16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334 + -35041?\nAnswer: -35415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 7*h**2 + 3*h**2 + (0*h**2 - 2*h**2 + 0*h**2)*(-3 + 4 + 0)*(-9 - 4 - 60 + (1 + 2 - 2)*(1 + 1 + 0) + 1 - 2 + 3).\nAnswer: 145*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 27983 = 2*p - 27980, -12*p + 33 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.345 rounded to 0 dps?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300))\/(sqrt(4) + sqrt(432)\/sqrt(12)).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9386 and 1805?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 5*h + 8. Let c = 9 + -3. Let q be i(c). Suppose -2*t = -2*k - 11 + 3, 0 = q*t + 2. Which is smaller: k or -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 47*t**2 + 143*t + 571. What is the tens digit of j(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 355.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p. Let d be j(-2). Let r = 10 + d. Find the first derivative of -3 - r + 2 - 4*o wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 2*z**2 - 4*z - 1. Let w be l(-3). Solve -i - w*f + 3*f = 3, 5*i + 19 = 3*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 25*k - 23. Is u(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 14, -116, -360, -754, -1334, -2136, -3196?\nAnswer: -4550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k**2 - k**2 - 2*k**2)*(-2 - k + 2) + 2*k**2 - 34936 + 34936 - 44*k**3 to the form a*k**3 + d*k + f + i*k**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-48)\/18)*(-6)\/(-4). Solve l*n - 3*n = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38632 is divided by 2135.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 12:44 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112166?\nAnswer: 2, 17, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -19*f**3 + 7*f + 1012. Let t(a) = -4*a**3 + a - 4. Calculate -5*t(d) + u(d).\nAnswer: d**3 + 2*d + 1032","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*v = -15, -v = 4*z - 2*v - 15. Suppose -w - 5 + 0 = -n, 2*w + 3*n = 0. What are the prime factors of z + (-60)\/w + -3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2336\/((6\/2)\/(-9) - -1). Let q be g\/(-14) + 32\/112. Let i be q\/(-12) - (-20)\/120. Which is smaller: i or 41\/2?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/274 and 93\/8.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.062 - -0.06200082. Round l to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pooppooppppppozpo. Give prob of sequence zoop.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -63 - (-35594 - -35735).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*w - 2848 - 2889 - 198*w + 5741.\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 450071 + -7441?\nAnswer: 440430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-537)\/38306*107*4\/273.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, 9 in increasing order.\nAnswer: 0, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -23025 and -28513 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = i + 3*l, -5*i - 2 = -2*i - l. Let a be ((-4)\/10)\/(i\/10). Suppose -f - 30 = -a*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.8 + 3. Let j = -1.4 + 0.4. Let d = 0 + j. Is d at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342 by -7.\nAnswer: 342\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpxdtxpxxqdxd. Give prob of sequence qt.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 672\/(-147) - (-6)\/(-14). Let k(v) = v**3 + 6*v**2 - 4*v - 33. Let o be k(z). Solve -4*w - f + 6*f + o = 0, -2*f - 16 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*z + 18 = 5*h, 5*h = 2*z + 34. Let n(u) = -6*u - 285. What is the least common multiple of h and n(-51)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 = 2*t - 52*p, -3*t - 601*p = -599*p + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 1186411511\/2 greater than 593205755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 1 - 1)*(0 - 4 + 3)*(6 + 491*k - 520*k - 9).\nAnswer: 58*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-84)\/(-9))\/(4\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(5\/60*-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4*w**3 + 2748*q**3*w**3 + 18*q*w**3 + 4*w**3 wrt q?\nAnswer: -24*q**2*w**3 + 16488*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 86. Solve -w*i + 28*i = -20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/36)\/(785\/471)*15\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -239*r**6\/6 + 12*r**2 + 5*r + 36. Find the second derivative of l(x) wrt x.\nAnswer: -4780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/2 - 3\/(-2))*1808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.2 or -11.1?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-506)*32197\/(-17562)\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 4:58 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1971*c + 19 = -4*m + 1972*c, 2*m = -c - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 985230 to the power of 1\/2, to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 - 13 = 7*b. What is the hundreds digit of 2 - ((-3364)\/b + (-4)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from 155.55.\nAnswer: 155.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*j - 34 = 0, -2*j + 34 = 2*p + 3*p. Sort p, -5, 1, -2 in ascending order.\nAnswer: -5, -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/89528 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 4. Suppose -4*v + 37 = 13. Give r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 48, -2\/15, -22, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1653 is divided by 186.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -25*g**5 - 115*g**4 + 200*g**3 - 60*g**2 = 0?\nAnswer: -6, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6204, -12433, -18662?\nAnswer: -24891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 5*w + 1. Suppose 0 = 5*d - 4 - 11. Suppose d*s - 2*r - 9 = 0, 0 = -4*r + 12. Let q(a) = a**2 - 4*a. Let u be q(s). What is z(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert d4682a (base 15) to base 16.\nAnswer: 9a0f51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783100547 rounded to the nearest 100000?\nAnswer: 1783100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01638386 rounded to four dps?\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28267152 - 29*n**3 + 28267152.\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000139964 rounded to 6 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3076302*l - 4255835 wrt l.\nAnswer: 3076302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14*(-2)\/(36\/(-42)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 399064 (base 11) to base 10\nAnswer: 626971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13567.671 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) 3 (c) -5\/2 (d) -2\/243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {x: 1, l: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -8799 (base 16) in base 12?\nAnswer: -18109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1516*-17\nAnswer: -25772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2 + 2*a - 1. Let s(m) = 5*m**2. Let w(i) = -3*s(i) + 2*v(i). Let h(b) = b. What is -4*h(f) + w(f)?\nAnswer: -3*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-9 + -3 + 13) - -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 173859 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2258 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = 27. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/208 and 69\/1508.\nAnswer: 6032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 9:09 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23 + 11 - -7)\/1. Put 3, w, 25, 0 in decreasing order.\nAnswer: 25, 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26455 - -0.0412.\nAnswer: 26455.0412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8295.95 - -8495. Let h = 199 - d. Let s = 0.8 - 0.8. Which is the smallest value? (a) 1\/7 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 440.9 - 441. Which is the fourth biggest value? (a) z (b) 0 (c) 1 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2 - 7 + 3 - 1 + 2*n. Let m be v(8). Suppose 0 = -m*j + 196 + 866. Does 28 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5315274 and 32172?\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*w - 1048*w - 167*w + 2478. Find g such that g + 1\/5*g**3 + 2\/5 + 4\/5*g**w = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(567) + -2 + sqrt(567) + sqrt(567) + sqrt(567) - (-1*sqrt(35))\/sqrt(5)) - (2 + -5*(sqrt(847) - (1 + sqrt(847)))**2 + (-1 + sqrt(847))*5).\nAnswer: -18*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.6722m in kilometers?\nAnswer: 0.6216722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b*b**(-2\/5))\/b)*b)**(-42)*b**(-1\/4)*b**6 assuming b is positive.\nAnswer: b**(-2741\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442 (base 9) in base 15?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**(-1\/2))))\/(j\/(j**2*j*j))*(j**(-1\/4))**29)\/((j**1)**(7\/2))**(6\/19) assuming j is positive.\nAnswer: j**(-369\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 62?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 9077*o**3 + 9078*o**3 - 17 - 2*o**4 as p*o**4 + l*o + u*o**2 + y*o**3 + f and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 210*x**3 + 26392*x**2 - 144994*x + 191784 = 0. Calculate x.\nAnswer: -131, 244\/105, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1) + (-7)\/(7\/52). Let x = -37 - k. Let l be (-1042)\/(-8) + 2\/(-8). Calculate the highest common factor of x and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.717844mm in centimeters?\nAnswer: 0.8717844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*w + 236*w = 2*x + 6, x + 17 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1931\/(-3))\/((-3)\/27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274056 (base 10) in base 14?\nAnswer: 71c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*g + 409 = 0, 4*g - g - 537 = -4*k. What is the units digit of -1 + (-1 + k - (-3 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 18*x**3 - 78.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -0.2, -5\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 68217627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/5 and -27\/407.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.047 or -1529\/5612?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 + 1109 + 639)*(-2*v + 3*v - 3*v)*(3*v + 1 - 1).\nAnswer: -10944*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 427904, 855539, 1283172, 1710803?\n\"Answer: -h**2 + 427638*h + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-49 + 66 - 33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 33*q**5\/4 + q**4\/4 + 13*q**2 - 25*q - 18. What is the first derivative of t(b) wrt b?\nAnswer: 495*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.0676 (b) 8 (c) 46.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205 or 303?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 65.17 and 212.825.\nAnswer: 277.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 0*l + 3*l + 2*l + 1 - 4*l + 4 - 2*l + 3*l + l + (-l + 4*l - l)*(3 + 3 - 5) - l - 3 + 3 to o + j*l and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 2)*(868*d + 2383*d + 1246*d)*(0 - 1 + 3).\nAnswer: 44970*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3333 + 3337. Which is the nearest to -2? (a) -2 (b) v (c) -117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/7)*z)\/(z*z**(-1\/4))*(z\/(z\/(z**(-6)\/z)))\/z**(10\/9) assuming z is positive.\nAnswer: z**(-1693\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, g: 3}. Give prob of picking 3 b.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1463 and 512449?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497380?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 3058*j - 3057*j + 6119*j.\nAnswer: 4*j - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 100011?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -299*a + 9. Let k(m) = -7*m**2 + 40*m + 10. Let f(n) = -18*n**2 + 104*n + 26. Let q(g) = 5*f(g) - 13*k(g). Calculate z(q(w)).\nAnswer: -299*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(190)\/(sqrt(10)*4) + sqrt(19) - (2*sqrt(304) + sqrt(19) - ((sqrt(19) + -2)*-2 + sqrt(19))))**2 + -2)*1.\nAnswer: -175*sqrt(19)\/2 + 23643\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3*x**3 + 0*x**3 + 9*x**3 - 20.\nAnswer: 6*x**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**4 + 94*l**3 - 2*l - 3294. Let n(k) = -45*k**4 - 1036*k**3 + 23*k + 36235. Let c(b) = -23*j(b) - 2*n(b). What is the derivative of c(v) wrt v?\nAnswer: -8*v**3 - 270*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v + 2464 = 51*v. Calculate the highest common divisor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 75, -4, -9, 239, 2 in increasing order.\nAnswer: -9, -8, -4, 2, 75, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (586 - w + 1091 - 1211)*(-5*w + 2*w - 4*w).\nAnswer: 7*w**2 - 3262*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/(-25))\/(4\/10). Let n(c) = 5 - 10*c + 2*c**2 + 3*c**2 + c**b - 4*c**2 + 7*c**2. Is n(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:00 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 2*t - 3. Calculate the lowest common multiple of u(4) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180608 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 10, -3\/5 in descending order.\nAnswer: 10, 2\/17, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2442 (base 8) in base 12?\nAnswer: -916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + (3*sqrt(720)*-2 + 2*(sqrt(720) + 0) - (sqrt(720)*-2 + -2 + -2)))**2.\nAnswer: -96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3264 is divided by 1593.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 293.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189109 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 49*(3 - (-76)\/(-28)). What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/35, -74\/13, -0.2?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3\/5 - 344849067*g**2\/5 - 9910073423322072*g\/5 - 9910073078473008\/5 = 0. What is g?\nAnswer: -57474844, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 18*k**2. Let i be n(-18). Let f = -0.07 - -3.07. Let z be (0 + 10\/(-3))*(-150)\/(-125). What is the nearest to i in f, z, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-17)\/(-986))\/(273\/(-52))?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnn. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(13) + sqrt(13) + sqrt(91)\/(-2*sqrt(7))).\nAnswer: 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(4\/11)*j)*j**(-1\/5)*(j**0)**(-50) assuming j is positive.\nAnswer: j**(-86\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/((-78)\/(-12))*(1 - 12). Which is greater: -21 or n?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i + 13. Let d be f(8). Suppose -4*n + y = -n - d, -4*n + 5*y = -117. Calculate the remainder when 217\/2 + (-1)\/(-2) is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = 3*d + 3, 0 = 3*d + 6. Suppose -2*i = -h*i + 24. Calculate the highest common divisor of 60 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4940*d**2 + 27664*d + 3952. Let u(f) = f**2 + 7*f + 1. Let j(c) = 11856*u(c) - 3*z(c). Let a(p) = -3*p. Determine j(a(b)).\nAnswer: -26676*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11709.3 + 11709. Which is the fifth smallest value? (a) o (b) 5 (c) -171 (d) -1\/4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 919529969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 181437900 to the nearest one million.\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2. Let l(o) = -287*o + 164. Let d(z) = -z + 1. Let g(h) = 164*d(h) - l(h). Give g(n(c)).\nAnswer: -369*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (2 - (-3 + 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/35926 and 95\/4278.\nAnswer: 3341118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5798353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i = -22666 - 3810 + 4246. What is the highest common factor of 285 and i?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((-3*sqrt(170) - sqrt(170)) + sqrt(170) - sqrt(170)) + sqrt(170))*4)\/(((sqrt(50) + -4*sqrt(50))*-5)\/sqrt(5)).\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*c - 4*d, 54*c + 4*d + 12 = 56*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-553)\/(-2212) + (-22)\/(-8). Solve 0 = -5*y + 4*y - p + s, p - 7 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyfy when four letters picked without replacement from yyyyyyyyfyyyyyyyyyyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t - 15. What is x(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.15 + -5.469. Let b = k - -8.319. Is 12 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 0.144.\nAnswer: 0.1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 82612?\nAnswer: 413060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwwg when four letters picked without replacement from kwgekjkwkkgk.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-2276)\/(-12) - (-12)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + -7584664.\nAnswer: -7584663.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2513 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u + 41. Suppose -8*a = -29 + 125. Let s be w(a). Suppose y - 5*q = 9, -y - 3 = -2*y + 3*q. Is s at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 219013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2. Let d be w(1). Let u be (-14)\/4*(d + -3). Let f = -3 - u. Solve 2*z = -0*z + f*c - 10, 3*z + 2*c = 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.5, 0.088, -10.3?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((5*sqrt(110) - sqrt(110) - sqrt(110)) + sqrt(110) - sqrt(110)) - sqrt(110)) + sqrt(110))\/sqrt(10).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*u + 31. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1228*(-6 + (-104)\/(-16)). Let x = 614 - k. Is 1\/416 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19 - 5*z - 21 - 4*z + 69 wrt z?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11467, 22933, 34399?\n\"Answer: 11466*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**2 + 2*l - 2*l + l**2.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193490 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25566160 to the nearest integer?\nAnswer: 5056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9*v - v + 0.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288582899 is divided by 5791?\nAnswer: 5787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*o - 23*o - 186*o**3 + 532*o**3 + 46*o as q*o + y + a*o**3 + k*o**2 and give a.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 136 = -33*d - 20. Factor -4\/9*v**3 - 32\/9*v**d - 28\/9*v + 0.\nAnswer: -4*v*(v + 1)*(v + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004805182 to seven dps.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 1, -64, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.005 and -1270251?\nAnswer: 6351.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5977*28.\nAnswer: 167356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h**3 + 59*h**2 - 13*h + 18. Give u(8).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 55*u - 618. Give o(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 1.2172?\nAnswer: 1.2172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -273af4 (base 16) to base 7.\nAnswer: -30565421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10070 divided by 440.\nAnswer: -1007\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(((-21)\/12)\/7). Suppose -119 = -4*i - 3*l, l - 3*l + 122 = n*i. Let j = -14 + i. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4007157)\/132 + 2\/(-8))*(-4)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(-6*(sqrt(35)\/sqrt(7) + sqrt(5)) + sqrt(5)) - -4*sqrt(891)*-6)**2 + -4.\nAnswer: 5650085\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3751*v - 892742. Calculate q(-238).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Suppose s - 571 = -5*g + 5*s, -a*g = -s - 337. What are the prime factors of g?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(98*t + 119*t + 81*t) - 4*t + 0*t + 2*t to the form b + l*t and give l.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -694.434 - -695. Let b = -0.046 + j. Round b to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 23*l**2 + 43*l + 13. What is w(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*w, -5*u - 2*w + 11 + 74 = 0. Suppose 0 = 2*o - 60 - 282. What is the greatest common factor of o and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 7:05 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.09 (b) -1260 (c) -6 (d) 5 (e) 2\/3 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66365.\nAnswer: 5, 13, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4485 is divided by 1459?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 8*s - 13. Let t be j(-5). Suppose 2*p = -k + 1060, t*p + 2*k + 331 = 1393. Let r = -306 + p. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*(-2)\/(-4) + 12. Let d(j) = j**2 - 3*j - 39. Let s be d(x). Which is smaller: -8 or s?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014135 to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.0977 - 0.0977. Which is bigger: 3\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -2\/3*n**3 + 4*n - 2*n**2 + 3. Let u(s) = -2*s**2 - 5*s + 5. What is -5*t(w) + 4*u(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -4223\nAnswer: 26\/4223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118362891 is divided by 514?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23307 + -16615. What is the greatest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 40*y**2 - 1 + 3 - 3 to x + z*y**2 + b*y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/63*3*-14. Suppose 5*c = w*l - 1, -l + 4*l = 4*c. Suppose y - 5*j = 2, -2*y + c*j + 54 = y. Solve -5*m - 5*i = -20, 3*i - 6 = 4*m - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 277843226?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 12. Suppose 8*j - 3*j - 15 = 0. Solve k*y = y + 4, 5 = j*q + y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 98, 1974, 7080, 17030, 33438, 57918, 92084?\n\"Answer: 269*x**3 + x**2 - 10*x - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i**3 + 11*i**2 - 5*i - 7. Let l(w) = -4*w**3 - 5*w**2 + 2*w + 3. Determine -2*d(j) - 5*l(j).\nAnswer: 2*j**3 + 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + z + 0)*(1776 + 69*z - 1776) + 1 - 3 - 19*z**2 + 4 - 2.\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2319 or 1?\nAnswer: -2319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 232716480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 256?\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(40)\/(sqrt(8)\/sqrt(4) + sqrt(2)) - (sqrt(20) + sqrt(80)\/sqrt(4) + -4)))**2.\nAnswer: -18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/(q*(q\/(q*q**(-4\/13)))\/q)))\/q)\/((q**(-14)*q)\/q*q)*(q**1*q)**(29\/2))**49 assuming q is positive.\nAnswer: q**(26950\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9980 + 10398. Calculate the remainder when i is divided by 90.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 - 1 - 3)*(-34*m + 65*m + 26*m) + 0*m + 2*m + m)*(m**3 + m - m) as b*m**3 + r*m**4 + f + q*m + v*m**2 and give r.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 39 - 226 + 106 = 0 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alm when three letters picked without replacement from {m: 1, n: 2, h: 1, l: 2, a: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2) + 0 + 3)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 994078974 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/681 and 21\/2497.\nAnswer: 7491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 490452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-50)\/4)\/(5\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26185 + -18139. Suppose 12*z = 18*z - i. What are the prime factors of z?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3 (c) 0.1 (d) 568590\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -3705*l**2\/2 - 2431*l - 153. Differentiate y(r) wrt r.\nAnswer: -3705","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 238 + -380. Let g = -141 - w. Suppose 0 = -4*q + 21 + 15. What is the greatest common divisor of g and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and -659309.\nAnswer: 28350287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m - 255 + 903 = -219 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (10 + -6)) + 20 + -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 99525089871.\nAnswer: -99525089871.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f + 11*f - 30*f - 16*f**3 - 11*f - 26*f + 45*f.\nAnswer: -16*f**3 - 24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48904146 divided by -2?\nAnswer: 24452073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (1 - -17 - (149 + -77 + -60)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -54446, -108894, -163342?\n\"Answer: -54448*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p. Suppose -2*d - 2 = -u, 3*d + 9 = -3*u + 24. Suppose -3*r + 4*t + 222 = p, 3*t - u = -r + 70. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4421425 is divided by 144.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/(-390) + 4\/10. Let m = q - 38\/39. Let s be (-11)\/3 - (-1)\/(-3). Which is the second smallest value? (a) s (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 96840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((4 + -2 + sqrt(243) - (2 + sqrt(243) + -2 + sqrt(243))) + 1 + (-2 + sqrt(243))*4 + -3))**2.\nAnswer: -3888*sqrt(3) + 20259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-18) - (84\/336)\/(18\/(-1288)). Let z(w) = w**3 - 19*w**2 + 16*w + 40. Calculate z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 + 36*y + 26. Calculate g(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17 - 14*i - 12*i**2 + 36 - 19 wrt i?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57765 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 43 = 66*o - 71*o, -5*d = -5*o - 35 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r - 206 = 3*f, -2232*f = 2232*f - 4459*f + 2*r + 145 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4885500 to the nearest ten thousand.\nAnswer: 4890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-2))\/(4\/(-8)). Differentiate 24 - u + 18 + 75*b**2 with respect to b.\nAnswer: 150*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 318 - 177 = 0. Let m = y + 174. Suppose -96 = 37*w - 43*w. Calculate the remainder when m is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 4881?\nAnswer: 4881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 50 + 62648*m - 23.\nAnswer: 62648*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13021207*v - 13021227*v - 8 + 8.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 7 - (1 + 2) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(48) - sqrt(48))**2 + 5*((sqrt(3) - sqrt(12) - sqrt(3)) + sqrt(3)).\nAnswer: -5*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.1, 15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*s**3 + 4896*s - 2597*s - 2299*s.\nAnswer: 128*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d. Let m(u) be the second derivative of 4*u**3\/3 + 7*u. Let j(l) = l. Let c(n) = 6*j(n) - m(n). Calculate c(w(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*p - 2*n, 5*p + 12 = 2*n - 5*n. Let z = -2.95 + 141.95. Let q = 144 - z. What is the closest to -0.3 in p, 4, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**2 + 3680011 - 3680011.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w + 3*i, 3*w - 5*i = -0*w + 25. Let k(l) = l**2 - 5*l + 3. Let d be k(w). Solve -5*y = -d*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 45 = 3*z. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 38277*p + 38271. Give t(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*u**3 + 6*u**3 + 11*u**3 + (4 + 4*u - 4)*(u - u**2 - u) + u**2 + 2*u**3 - u**2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.51197 years to centuries.\nAnswer: 0.4751197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - -0.75. What is b rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9812*a**3 - a**2*i**2 - a*i + 482*a - 2*i**2 + i wrt a?\nAnswer: 58872*a - 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c71c (base 14) to base 16.\nAnswer: 11c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Solve 23 = 5*a - 4*s, 0 = -4*a - 8*s + i*s + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m - 30. Let f(h) = 10*h - 30. Let p(g) = 5*f(g) - 6*k(g). What is the units digit of p(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1476 + 2676 + 190*q - 188*q - 763*q**3.\nAnswer: -763*q**3 + 2*q + 4152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*b + 34 + 2, -4*b + h = -48. Let a = b - -1. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (-90 - (7 - -20)) - (31 - 9)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - w - 13*w)*(16 - 5 + 1)*(-w - 3*w + 2*w).\nAnswer: 192*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, 2, -1620698?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*n**5 - 6*n**2 - 15*n**2 + 7*n**5 + 5*n**5 wrt n?\nAnswer: 1260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 108. Find the second derivative of -2 + 0 - m*g + 16*g - 23*g - 13*g**4 wrt g.\nAnswer: -156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -475*t**4 - 497*t**2 + 766399*t wrt t?\nAnswer: -5700*t**2 - 994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45, -64, -107, -186, -313, -500, -759?\n\"Answer: -2*q**3 - 5*q - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(((-95)\/(-665))\/(2\/(-6)))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178299, -178310, -178329, -178356, -178391, -178434, -178485?\nAnswer: -178544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2511.70526 to the nearest integer.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -464 - -466. Suppose -65 = -3*j + 4*d + 24, 31 = j - r*d. What is the remainder when j is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -6*b**3 + 4*b - 14. Differentiate t(z) wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -637*h + 5808. Let u be r(9). What is the highest common divisor of u and 6855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-35)\/15)\/7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 2 (b) -7 (c) -0.2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/48)\/(2\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2329, -4625, -6921, -9217?\n\"Answer: -2296*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*t - 112*t - 476*t.\nAnswer: -654*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -6, -5, -4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -5*n**7\/42 - 2*n**6\/3 + 3*n**5\/2 + 5*n**4\/3 - 25*n**3\/6 - 178*n. Determine a so that s(a) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - r**2 + 2*r**2)*(215*r + 658 - 436*r + 220*r).\nAnswer: -2*r**3 + 1316*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8169\/28)\/(12\/544). Let g = x + 3585. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165780097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of -3 - -648 - (-1 + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 10 - 2 = 0. Suppose -x*q = -8 - 0. Solve 3*f - 5 = -q*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*y - 4. Calculate the remainder when 29 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1. Let l(u) = u**2 + u + 13. Let v(a) = -3*c(a) + l(a). Let s be v(0). Solve q + 3*q + s = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 48 = 587. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.129 + 10.129. What is the nearest to f in 6, -0.08, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/7)\/((-1)\/(-7)). Suppose -2*z - 4*w = -388 + 40, 0 = -r*z - w + 542. Does 26 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**3\/3 + 3*k**2\/2 + 5*k - 2. Let z be o(5). Let i be (2 - (-2)\/4)*9\/90. What is the third smallest value in z, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + w**2 - 6*w + 6*w. Let l(n) = -2*n**2. Give z(l(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288483887.\nAnswer: 288483887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + m + 14, -3*a + 6 = -m - 4. Suppose -3*g - 251 = -6*p + a*p, g + 366 = 3*p. Calculate the greatest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33611 + 33600. Let k = 4697 + -925311\/197. Let u = -408\/1379 - k. What is the second smallest value in h, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 239\/46759 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x**2 + 2*x + 8. Let u(s) = 25*s**2 + 6*s + 22. Give 11*p(m) - 4*u(m).\nAnswer: -23*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 5, -1\/6930.\nAnswer: -109, -1\/6930, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 7*m + 19*n, 160021*n = -m + 160020*n - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 5131407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (2 + sqrt(2))**2 - (sqrt(8)*4 - (sqrt(2)*1 + sqrt(2) + -5)).\nAnswer: -2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**5\/20 - v**4\/12 - v**3 - 72*v. Find k such that z(k) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11325443, 11325416, 11325373, 11325314, 11325239?\nAnswer: 11325148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.2 (b) 2\/13 (c) 1\/8 (d) 9 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5825.94 nanometers in centimeters?\nAnswer: 0.000582594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80209 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1360 + 1362. Let h(o) be the first derivative of 0*o - 1\/10*o**4 - 10 - 2\/15*o**3 + 1\/5*o**t + 2\/25*o**5. Let h(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*i**4*v**2 - 61*i**4 + 138585*i*v**2 - 2*i wrt i.\nAnswer: -168*i**2*v**2 - 732*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1506 divide 12306606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 24 - 2*n**2 - 18 - 21 to t*n**2 + s*n + h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -235, -352, -467, -580, -691, -800?\nAnswer: -907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 5:21 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 213*h**3 + h**2 - 1. Let m be d(1). Suppose 7*u - m = 39. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1088) + 2*sqrt(1088) + -4)*5 - (3 + sqrt(1088)*-5 + -2 + sqrt(1088) + 1)**2.\nAnswer: -17429 + 248*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((-10)\/(-10))*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7564.05452 rounded to one decimal place?\nAnswer: 7564.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:54 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/((-2)\/(-114)). Suppose -o = -3 - b. Let q = -22 + 30. Calculate the smallest common multiple of o and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0.4 (b) 1.6 (c) 0.3 (d) -0.2 (e) 2\/13 (f) 102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 252. Let q(x) = 4*x - 505. Calculate -6*q(a) + 13*s(a).\nAnswer: 2*a - 246","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**3\/3 - 9*f**2\/2 - 9*f + 2. Let o be u(-7). Solve 0 = -o*j - l + 5, -j - 2*j - 2*l - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1352246 (base 7) to base 15\nAnswer: 388e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245 and 6184185.\nAnswer: 43289295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 334679510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1064049*g*y**3 - 2*g*y**2 + 3*g*y - 263*g - 6*y wrt y.\nAnswer: -6384294*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8747 + 8751. Let j be 2 + 93\/3*-1. Which is the fourth biggest value? (a) -4 (b) q (c) j (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -8*p**7\/27 - 4*p**6\/45 + 13*p**5\/36 - 7*p**4\/36 + p**3\/27 - 9*p. Determine d so that i(d) = 0.\nAnswer: -1, 0, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -110224*f**3\/3 + 664*f**2 - 4*f - 1578. Factor j(v).\nAnswer: -4*(166*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -8*l + 2*d + 18, 106*l - 5*d = 103*l + 37 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 413\/91 + 42\/91?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 56.9939. Round v to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10817557.\nAnswer: 61, 177337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -17. Which is the third biggest value? (a) 0.2 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 928112*t - 10 + 0 - 200287*t + 392177*t. Let w be x(5). What is w rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515 (base 6) to base 2.\nAnswer: 10111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(1197\/(-24)))\/((-21)\/126*4)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1660 times -29\nAnswer: 48140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*b - 35*b. Let p(g) = -1. Let f(a) = a + 2. Let q(k) = f(k) + 3*p(k). What is q(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, o: 4}. What is prob of sequence aaa?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -6 in descending order.\nAnswer: 7, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492115 and 390.\nAnswer: 2952690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 24*q + 23*q = -2940. Let f(a) = a**2 + 14*a. Let z be f(-6). Is z > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r - 4 = -26*r, 5*r = -4*h + 12 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23131 (base 5) to base 7.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 0.111?\nAnswer: 0.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, k: 2, z: 1}. What is prob of picking 1 z and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5035092, 10070413, 15105734, 20141055, 25176376, 30211697?\n\"Answer: 5035321*x - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, t: 6}. What is prob of picking 2 d?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - x**2 + x - 3. Let w be b(-3). Suppose d - 16 = w. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-100)*((-13)\/(-2) + 1). Is 11 a factor of 5 + (b*47)\/(30\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -270*m + 31. Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 25*o**2 + 37*o - 54. What is the remainder when p(24) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10042.6 - 0.5?\nAnswer: -10043.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 63 - 5\/4*n**4 + 10*n**2 - 20\/3*n**3 + n**5 + 0*n. Factor k(m).\nAnswer: 5*m*(m - 2)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8641 - 8819.02. Let v = -178 - h. What is the biggest value in 0.2, -0.4, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*z + 143*z - 4944 = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/2*46\/69?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6e821 (base 16) in base 15?\nAnswer: 8e1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*t = 372*t + 755 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q + 15. Let h be m(-3). Suppose -4*t - 35 = -3*v, -2*v + 2*t + h*t = -35. Let i = 1\/245 - 71\/245. What is the closest to 2\/7 in v, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-78)\/8)\/((-6)\/8). Suppose -12*f + o + 23 = 0. Which is the second smallest value? (a) -4 (b) 7 (c) f (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r + 0*r - 6 + 0 - 5*r**2 + 1. Let h be c(-5). Suppose -4*g + 3 = 3*p, 0 = -3*p - 2*g - h + 3. Solve 4*t + 15 = -p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l**5*s - 8*l**3*s**3 + 6*l**2 - 2*s**3 + s wrt l.\nAnswer: -480*l**2*s - 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23690088 = 2*k + k. Suppose -16*j = -14*j - k. Let m = j - 2188348. Round m to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683965?\nAnswer: 5, 29, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c + c**3 - 17*c - 14*c + 3*c - 27*c to w*c + i*c**3 + k*c**2 + m and give w.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 13*i. Let x(f) = -5*f**2 - 64*f + 1. Let j(o) = -11*v(o) - 2*x(o). Let h(q) = -2*q. Let k be h(7). What is the tens digit of j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18056\/(-111))\/122*3\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93 + -8 - 23) + -13.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2*t + 2)*(t + t - t) + (-2*t - t + 0*t)*(3*t - t + 0*t))*(-2*t**2 + t**2 + 0*t**2).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, y: 7, i: 2, a: 3}. What is prob of picking 1 i, 1 y, and 1 b?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8963 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 2 - 8*y + 13*y**3 - 20*y**3 wrt y?\nAnswer: -42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 240 + 857*b - 22*b**2 - 857*b.\nAnswer: -22*b**2 - 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363 and 699259?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/10 + 105\/(-21). Which is the closest to 1? (a) -13 (b) q (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*s + 161 = 98*s. Let k = s - -16. Calculate the remainder when 77 is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84 - 41680583\/(-496349)) + (-4)\/86)*4\/(-14)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55914862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -1, -193\/2, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 142. Is (-2)\/(-3)*3 + 1*k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 4*r**2 + 3*r - 4. Calculate l(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 454467.6 to the nearest 1000.\nAnswer: 454000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 98*p - 1109. Give d(85).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -90 (b) 1\/4 (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/1759 and -3\/182.\nAnswer: 320138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/163 + -316\/815. Suppose -2*j + 6*j = -5*i + 16, 2*j - 2 = -i. Suppose r - p = -4*r, -p + i = -r. Is r <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b - 306 + 1477 = -38 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/38 - -83\/266. Let b = 1.1 + -1.3. Let s = 0.1 - b. Put -3, u, s in decreasing order.\nAnswer: s, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q + 5*u = 0, -2*q + 5*u = -21. Let r be q - (-4)\/8*2. Suppose 0 = -r*v - 3*v + 35. Solve 0 = -k + v - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -2\/11, 0.0643?\nAnswer: 0.0643","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13921368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 4*(14\/4 + -3). Suppose -v + i*s = 11, 2*v - 3*s + 5*s = -22. Let g(b) = b**2 + 11*b - 2. Determine g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616.53 + -0.3?\nAnswer: 616.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - -8) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3120?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -13, -17, -21?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -70*o - 30. List the prime factors of w(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-30)*h*h**(2\/9)\/h*h*h\/((h\/(h\/(h\/h**(-4\/7)))*h)\/h)*h**(-23) assuming h is positive.\nAnswer: h**(-3235\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 + 81. Solve c = 2*p - 2*t, -2*p - 5*t = -3*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -99*d**2*w + 175633*d**2 + 397*d*w**2 wrt w?\nAnswer: -99*d**2 + 794*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 69, 4, -5, -3, 5 in decreasing order.\nAnswer: 69, 5, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 18*a - 3 - 66*a - 2 to the form p*a + o and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3294 = 2*i - n, 5*n + 6575 = -4*i. Is i\/(-21) - (-4)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(5\/340*1). Suppose t = 52*f - 50*f. Suppose f*d = 14*d + 24. Solve -2*s + 0 = 6, -2*g + 4*s + d = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 7 - 7)*(2*r - 2*r + 3*r) + (0 - r**2 + 0)*(3*r + 0 + 0) + (2*r**2 - 3*r**2 + 0*r**2)*(-2 - r + 2).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**2\/3 - 84*u - 64\/3.\nAnswer: 4*(u - 16)*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {t: 2, e: 6, x: 2, c: 3, z: 6, v: 1}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eono. Give prob of picking 2 o and 1 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -753489 times 0.2?\nAnswer: -150697.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2358 - -4169. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*k + 5 = o, 0 = -4*o - 5*k - 40. What is the thousands digit of o + 42\/6 - -1340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 - 2*l + 64. Calculate q(-5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o - 49. Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 244, 2\/9, 4, 3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 0) + -3)*(-306)\/3519\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + -0.2. What is the closest to v in -0.1, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2551788*j - 1086333 wrt j.\nAnswer: -2551788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2049394 or 2049114?\nAnswer: 2049114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-432) - 78264909\/954504\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41886 divided by -18.\nAnswer: 2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*u - 6. Suppose 0 = 4*j + 11 + 1, -u*q + 3*j + 44 = 0. Suppose -10 = -q*v + 2*v. Solve 0 = 3*s + 4*a - 4, 3 = -v*a - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 125a6?\nAnswer: 125ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -2986\/801?\nAnswer: -2986\/801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163524 is divided by 1055.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3589097117 is divided by 1715.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q - 8*q - 32*q - 2038*q + 746*q + 783*q + (-3 + 1 + 4)*(-5*q + 3*q + q) to the form s + x*q and give x.\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 7:50 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1033070 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 46. Let n(a) = -9*a**2. Determine b(n(h)).\nAnswer: -18*h**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 428442 and 1428140.\nAnswer: 4284420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 312008\/20 + (-15)\/(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 4*a - 1. Suppose -9*w + 104 = 59. Suppose -3 = -4*l - 3*q - 22, 0 = l + 4*q - w. Give s(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-10 - -26 - 22 - -20) - 18.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-72)*-1)\/(7\/(42\/15))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) -2286 (c) -840\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 956 and 667049.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:27 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/(12\/(-60)). Let t(c) = -18 - 5*c**2 + 0*c**3 - c**3 + 19*c**a + 2*c. What is the smallest common multiple of t(14) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392788.9 milligrams to kilograms.\nAnswer: 0.3927889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -53*l**3 + 8*l + 8. Let v(k) = -18*k**3 + 3*k + 3. What is -3*d(a) + 8*v(a)?\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 p when four letters picked without replacement from pootoploloo.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 21. List the prime factors of x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.181036 and 0.044.\nAnswer: 0.225036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-8 + 4 - (-1 + -3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 828\/21 - (-8)\/14. What is the common denominator of 2 - 1*(-364)\/i and -23\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + (-2)\/(-1) - 1. Let f(b) = b**2 + 17*b + 18. Let r be f(-16). Let p(y) = -3 - 2*y - 4 - y + r*y. What is p(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 22 = y, r - y + 18 = 5*r. Let x = 3 - 2. Calculate the greatest common divisor of x and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 4. Let k be i(-4). Suppose r - 3*s - 22 = k, 5*r - 2*s + 3*s = 46. Suppose 3*j = 2*h + 11, 3*h - j = -3 - r. Put 2, 4, h in descending order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11288 is divided by 2815.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6 + 25. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 44897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 + 11.4. Let u = 16 - g. Let c = 3 - u. What is the third biggest value in -0.4, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -3\/2*m**2 - 14*m - 5. Let v(h) = -h - 5. Calculate -3*r(s) + 8*v(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 558081?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12773.62 millennia in years?\nAnswer: 12773620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**6)**(2\/105)*(g**(2\/11))**(3\/43))**8 assuming g is positive.\nAnswer: g**(-6560\/9933)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86*m**4 + 1838*m - 1249 - 1840*m - 679*m**4 with respect to m.\nAnswer: -3060*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -22\/5, 10506, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158 + -160. Let k be g\/(-4) - (-36)\/(-24). What is the nearest to k in 5\/3, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1177.068+94416\nAnswer: 95593.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22897 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 5) in base 8?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 2260\nAnswer: -9040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 4.1?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33 * 0.44\nAnswer: -14.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -3*r**5\/5 + 1179*r**4\/2 - 2352*r**3 + 3525*r**2 - 2349*r + 7006. Factor f(b).\nAnswer: -3*(b - 783)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1936, 1226, 32, -1652, -3832, -6514?\nAnswer: -9704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 5*d + 6. Let x be v(3). Suppose 5*c = 5*b + 5, 5*b = -x*c + c + 15. Suppose -7*a = -5*a + 10. Put a, -1, c, -3\/8 in decreasing order.\nAnswer: c, -3\/8, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 3*a + 2. Let u = -59 - -63. Let t be 1 - (u - 8)*50\/8. Let n be (-36)\/27 + t\/6. Determine d(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(140\/(-8))\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5.11 times -26\nAnswer: 132.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2. Suppose 325 = 5*o - 5*k, -o = -3*o - 2*k + 150. Let i(p) = -o*p - 1 + 60*p + 1. Calculate i(d(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 114, 182, 250?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13497 - 13485. Calculate the smallest common multiple of 4952 and q.\nAnswer: 14856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = u - 5. Suppose 0*t - 3*t = -u. Find the third derivative of t*d**4 + 4*d**2 - 4*d**4 + 2*d**4 wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12742, 12764, 12784, 12802?\nAnswer: 12818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(150))\/sqrt(5) - -3*-3*sqrt(30))\/(-4*(sqrt(6) - sqrt(60)\/(-1*sqrt(10)))*2).\nAnswer: 11*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/c*c\/(c*c**(-6)\/c))\/(c**(2\/5)\/(c\/(c**(-3\/2)\/c)))*(c*c**(-1)*c)**(2\/43)\/(c**(-3)\/c**3) assuming c is positive.\nAnswer: c**(5223\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 25 = -t, 4*b = 350*t - 355*t - 81 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.176522 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 4. Let s be b(-7). Solve -q + 5*c + 44 = 14, -2*c = s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14258751 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 3 - 7*z + z)*(-z + 2*z - 1 + 4*z) to k*z + v*z**2 + l and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -13*x**7\/105 + 17*x**5\/60 + 24*x**2. What is the third derivative of p(a) wrt a?\nAnswer: -624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q. Let p(i) = -32447178*i. What is x(p(y))?\nAnswer: -356918958*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (20 + -14)*30\/15\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 - 12.846?\nAnswer: 324.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-5)\/(-45)*-57. Put 0, -4, z in descending order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 188 = -24*s. Find the first derivative of 121*x**s + 2*x**2 + 108 + 409*x - 409*x wrt x.\nAnswer: 484*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*m**3*w - 5*m**3 + 4*m**2 + 51*m*w**2 - 16 wrt w?\nAnswer: -23*m**3 + 102*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4422792*z**5 - 311040*z**2 + 6*z.\nAnswer: -265367520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Let t be (-286)\/(-10) - (-30)\/(-50). Let u = t - 23. Solve -4*p - 5 = u*s, 2*s + 2 = -d*p + p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 84*x**3 - 3*x**2 + 260*x - 257. Determine k(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m*x*y + 577*m*x + 1089*m*y + 22*m - x**2 + y wrt x?\nAnswer: -m*y + 577*m - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7258806548?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 24 = -5*j. What is the highest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -60540836 divided by -60540836\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 6. Suppose -6 = -2*p + 4. Let y = v + p. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*n + 8 - 67, -h = -4*n - 10. Suppose -b = -2*i + 4*i - 3, 4*b - 4*i = 0. Suppose -4*p = j + 3 + b, -4*j = -3*p - h. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = s + 3, -9 = -4*s + 2*u + 1. Calculate the lowest common multiple of 9 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**3 - 68*v**2 + 152*v - 60.\nAnswer: 4*(v - 5)*(v - 3)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*((1 + sqrt(931))*5 + (sqrt(19) + -1)*6 + sqrt(76)\/sqrt(4)*5)**2*1.\nAnswer: -201022 + 460*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -188.13\nAnswer: 1881.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00103825 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -15525, -16, 1 in increasing order.\nAnswer: -15525, -16, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029014 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t - 4 + 4 as q*t + g and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-465)\/60)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5\/6 + 151*y**4\/6 - 1011*y**3 + 13835*y**2\/3 - 37741*y\/6 + 5329\/2 = 0?\nAnswer: 1, 3, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 12*i + 15 = 0. Suppose 8 = i*l + l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214862183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-20))\/(16\/(-1480)))\/((-1759)\/14072).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53, -57, -61, -65, -69, -73?\n\"Answer: -4*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1755)\/(-7) + (-4)\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2, -l - 39 = -4*j - 0*l. Suppose 0 = 4*z + z - j. Let u be 1\/(z\/(-6)) + 3. Solve -4 = -4*h - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653579357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 279, 279, 283?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5350 = -3*d - 4*n + 5354, -3*d + 7*n = -19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**2. Let h be r(2). Suppose 0 = 4*m - 707 - 77. What is the greatest common divisor of h and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l - 0. Solve -f + 6 = l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 5 - -1) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-9)\/6) - -2 - -3. Suppose 5*g = -4*p + 64, 5*p + 2*g = -y*g + 75. Suppose -2*t - 4*b - p = 5, -t - 5*b - 23 = 0. Is 4 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/84 - (-48498)\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 22.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1168*f + 24*f + 82510 = -1038*f for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85133*z + 82306*z = 11308 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125359373178568\/12313 - 10181058483. Let n = -1\/1759 - b. Calculate the common denominator of -25\/11 and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4, -2\/5, 115410, 5, 0.13, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/12)\/((-1)\/8). Suppose 0*t - h*t + 48 = 0. Let f = 21 - t. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*c - 1 = 0, -3*c + 4 = 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 789272948 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520722.\nAnswer: 2, 7, 19, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 s when four letters picked without replacement from {s: 9, o: 9}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 757183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.121 + 0.321. Is 18 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -26*h**2 - 30*h + 13. Let v(a) = -a. Determine c(v(y)).\nAnswer: -26*y**2 + 30*y + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 4. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57659916647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 8*s + 7, -2*m = -3*s + s - 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64753785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-63) + (-4)\/(-14). Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32622483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 305046?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-5 - (-3 + (-13 - -7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, q: 9, j: 2}. Give prob of picking 1 j and 3 w.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53042, -211807, -476292, -846497, -1322422, -1904067, -2591432?\n\"Answer: -52860*b**2 - 185*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/((-1085)\/364)*(-67)\/134\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 712.60574 to the nearest ten.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 7:42 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*l = 15, 0 = 3*d - 2*l + 24 - 41. Which is the third smallest value? (a) -0.073 (b) d (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/475 and 101\/760?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(275)\/(sqrt(180)*6))\/(2*sqrt(45)*-3 + (sqrt(270)*2)\/sqrt(6)).\nAnswer: -sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7958?\nAnswer: 2, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4 + 97*o**3 + 1280*o**2 + 4100*o = 0.\nAnswer: -82, -10, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23400 and 2600.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 - 2*w**2 + w**2. Let p(y) = y**2 - 1. Let n(k) = -4*k**2 + 3. Let q(g) = 2*n(g) + 6*p(g). Calculate q(h(z)).\nAnswer: -50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 464856643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/207 in -5, 0.1, -3, 23, 0.5, 1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 6*w**4 + 2*w**4 + (0*w**2 + w**2 - 2*w**2)*(-w**2 - 4*w**2 + 4*w**2) + 2*w**4 - 4*w**4 + w**4.\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -404*d**2 + 1279 + 426*d**2 + 134*d - 116*d with respect to d.\nAnswer: 44*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 25*h**2 + 163*h - 96. Calculate j(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80996401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 855 = 3*u, 4*u = -0*u - 20. Suppose 5*f - 132 = g. Let t be 0\/2 + 24\/2. Calculate the highest common divisor of t and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 85, -29, -157, -305, -479, -685, -929, -1217?\n\"Answer: -p**3 - p**2 - 104*p + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 3*y - 144. Calculate the highest common divisor of y and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8035946ml?\nAnswer: 0.0008035946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 18*z - 70. Suppose 5*u - 4*w = 39, 4*u - 3*w - 7 = 24. Calculate the remainder when d(9) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 21 = 3*m + 4*q, 1 = q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 7*h**2 + h + 8. Give a(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -659 - -678. What is the third smallest value in -5, d, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18*4\/16*2. Let r(x) = 4*x**2 - 3*x - 8. Let w be r(f). Is 3 a factor of 1\/(-4) - w\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * 9.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, d: 4, g: 1, h: 2, v: 5}. Give prob of picking 1 v and 1 g.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/45 and 73\/130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 9 + 81 = 0. Let a be (132\/(-9))\/(6\/y). Calculate the greatest common factor of 154 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**4\/6 - 9*h. Let y(j) be the third derivative of -j**4\/2 + 3*j**2. Calculate y(i(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + b**2 - 1. Let m(y) = -21*y**3 - y**2 - 6. Let d(h) = -m(h) + n(h). Find the third derivative of d(q) wrt q.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 158437190 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8575 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 8. Let q be (12 + 70\/(-7))*-2. Determine c(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 15.8. Let f = u + 2. Let v = 0.07 - 3.07. Which is the second biggest value? (a) v (b) f (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-7)\/12 + (-3)\/12. Suppose -5*q - 1 = -6. Let t be 2\/(-4)*2\/q. Are x and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.352703315 rounded to four dps?\nAnswer: -1.3527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 - 3*m**3 - m**2 + 25*m\/3 + 6.\nAnswer: (m - 9)*(m - 2)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(52)\/sqrt(4)*-3 - sqrt(13))*1)**2*-4 + (((-5*(-1 + sqrt(13)) - sqrt(13)) + sqrt(13))**2 - (3*sqrt(65) + sqrt(65) + sqrt(65))\/sqrt(5)))*-5.\nAnswer: 275*sqrt(13) + 2410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12800*c*p**2 + 307884*c - 5*p**2 - 2 wrt p?\nAnswer: 25600*c*p - 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-152)\/16078) + 6\/(-57). What is the greatest common divisor of 47 and v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 d when four letters picked without replacement from ppdgpvgppgdpgpppggg.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.7 + 0.7. Let u = -5 - -5. Let x be u - 1\/((-9)\/6). Which is the second biggest value? (a) x (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-244 + 244 - 33*u)*(-u - 3*u + 5*u) - 2*u**2 + 3*u**2 - 2*u**2)*(21*u**3 + 9*u**3 - 12*u**3).\nAnswer: -612*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -3. Let n = 12.5 - c. Let t be ((-4)\/(-6))\/((-4)\/(-6)). Put 2\/11, n, t in ascending order.\nAnswer: n, 2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 1. Let l(a) = -1. Suppose -3*n = 0, 0 = 4*g + g - n + 5. Let o = 4 - 3. Calculate g*l(w) + o*z(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 35. Suppose 0 = -18*p + h*p - 238. Suppose 124 = 4*o - 4*d, -o = -6*o - 4*d + p. Solve -5*z + o - 2 = -2*a, 0 = a + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1216*z**4 - 1313*z?\nAnswer: 14592*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 816119 and 17.\nAnswer: 816136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1884, -8286, -19226, -34704, -54720?\n\"Answer: -2269*z**2 + 405*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 24*p + 50774. Let g(o) = -12*o**2. Determine l(g(z)).\nAnswer: -288*z**2 + 50774","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yld when three letters picked without replacement from atzadytdylytalal.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(170)*-4)\/((sqrt(10) + sqrt(20)\/sqrt(2))*-1 - (sqrt(250)*2 + sqrt(10))).\nAnswer: 8*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -2, -33, -57545 in increasing order.\nAnswer: -57545, -33, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:53 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**5\/60 + k**3\/3 - 2*k**2. Let n be s(0). Solve 2*d**2 + d**2 - 4*d**2 - d**n - 2*d + 4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -3*d**3 - d + 1. Differentiate z(r) wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -2519?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -1, 135 in increasing order.\nAnswer: -1, 34, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 615 and 169617.\nAnswer: 848085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -13*c**3\/3 + c**2\/2 + 3*c. What are the prime factors of z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2626 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 27440\/(-5292) + (-20)\/(-18) + -1\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*u + 1)*(-3 - 4 + 6).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2867, 2819, 2771?\n\"Answer: -48*p + 2915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -1. Let u = -0.7 - o. Let h = 2\/123 + 113\/615. What is the third biggest value in -2, h, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -683 + -1?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 129, 148, 199, 294, 445, 664, 963, 1354?\n\"Answer: 2*z**3 + 4*z**2 - 7*z + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 3. Suppose 0*q + 28 = 5*n - 3*q, -3*q + t = 3*n. Suppose -2*d + 2*m - 8 = -2*m, 0 = -n*m + 5. Is 1 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 0 + 2*u**2 + 0*u - 1\/12*u**4 + 4\/3*u**3. What is the units digit of c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 7:18 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5897337, -5897311, -5897267, -5897205, -5897125?\nAnswer: -5897027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-690)\/207)\/((-2)\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiliizccilpzll. What is prob of picking 1 z and 1 c?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17661346952134 - 0.4\nAnswer: -17661346952134.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2255 - -4434. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10330358 take away -5?\nAnswer: 10330363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45547156 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 26*t + 2*r = -12, 4*r + 36 = 0. Solve 2*o + t = 2*b, -2*b + 6 = -15*o + 12*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*j - 42*j - 5*j**2 + 3*j**3 - 7*j**2 to the form f*j**2 + p + w*j + m*j**3 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380, -453, -526, -599, -672, -745?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + (-66)\/(-24). What is the highest common factor of 6 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(242)\/(sqrt(22)\/sqrt(2)))\/(sqrt(99) + 1*sqrt(99)) + 2).\nAnswer: -15 - 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6046*b + 6759. Give a(1).\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 30 = 21. Suppose -g*r + 15*r + 1380 = 0. Round r to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 w when four letters picked without replacement from xxxxxxxwwxxxxxwxxx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (4 + -8 + 4). Let t be (-2)\/(-6)*6 + h. Suppose t*a - 21 = -5. Solve b = a*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.9 + 0.9. Let h = v + 21. Which is the closest to 0? (a) -3 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, f: 3, g: 1, l: 2, p: 4}. Give prob of sequence gpff.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4976\/9953 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/4, -603627 in descending order.\nAnswer: -1\/4, -2, -603627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 9*g - 4. Let u be l(8). Let y be (u + -3)*(2 - 0). Let j be ((-1)\/y)\/(2\/(-12)). Solve j*x = -o + 3, 0*o + 4*x - 4 = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h = -26. Let t = h - 5. Let g = 109 - t. Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 5\/3*h**3 - 3 - 4*h + 0*h**2. Differentiate f(j) with respect to j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425, -435, -445, -455, -465, -475?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26 + -3)\/((-2)\/4). Suppose -j + 3*k + 26 = k, -2*j - 2*k + a = 0. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Suppose -3*i + 5*x = -37, i + d*x - 3*x = 7. Let h(m) = -2*m**2 + 26*m - 14. Calculate the remainder when i is divided by h(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttggtt. What is prob of sequence tg?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38 - 34) + 1 + 2. Let m be 18 + (5 - (-1 - -4)). Suppose 3*l = -2*l + m. Solve 0 = -l*u + c + 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**5 + 84*y**4 + 3858*y**3 - 16884*y**2 - 20655*y = 0?\nAnswer: -27, -1, 0, 5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 5*y + 2*a + 13, -4*a - 44 = -870*y + 874*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -308*x**6 + x**4 + 54*x**3 + 18382*x**2.\nAnswer: -36960*x**3 + 24*x + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213110 (base 6) in base 14?\nAnswer: 656a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.118 - -0.1251. Round j to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 22*n - 16. Let p be x(24). Let s be 2\/7 + 6318\/(-63). Let u = -68 - s. What is the highest common divisor of p and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 115. Let c = -825 - -821. Is 11 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + 0*m**4 + 0*m**4)*(1 - 4 + 2)*(23590 - 6168 + 20824 + 31508 - 13648).\nAnswer: 56106*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 0 + 2)*1. Let i = -2 - -4. Suppose -2*r + 4*x = -10, 3*x + z*x = -4*r - i. Which is smaller: 3\/5 or r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - s**2 + 2*s - 70. Determine p(0).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43056 (base 13) to base 2.\nAnswer: 11101100001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -61. Let c = 48 - o. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.561 - 4.5. Let z = f + 3.839. Round z to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0*o**4 + 0*o + 0 - 1\/144*o**8 + 1\/126*o**7 - 51*o**2 + 1\/180*o**6 + 0*o**3 + 0*o**5. Factor a(k).\nAnswer: -k**3*(k - 1)*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -88. Suppose 11 = -4*h + x. Suppose -2*l - 1120 = -h*l. What is l rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -9 - -17 - (-6 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2392 = x, 0 = -13*x + 12*x - 5*k + 2374. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 7*j - 30. Suppose -4*f + 2*k + 10 = 0, 4 = -2*f - k + j. Sort -9, -1, 1, f.\nAnswer: -9, -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:11 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 15. Suppose -g*x + 20 = 2*x, -r - 4*x + 25 = 0. Suppose -r*m - m + 8380 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 15 = -1. Is -3 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*q - 4*v + 38, -v + 15 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/x*x\/((x*x**(-2))\/x*x))**(2\/13)\/(((((((x\/x**1)\/x)\/x)\/x*x)\/x)\/x)**(3\/14)*((x*x\/(x\/(x*x**2)))\/x)\/x**7) assuming x is positive.\nAnswer: x**(463\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44624*s**2 + 15963*s + 2.\nAnswer: -89248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 521*b - 263*b - 42*b**3 - 259*b + (3*b**3 - 7*b**3 + 2*b**3)*(-1 + 1 - 1) + b**3 + 7*b - 7*b.\nAnswer: -39*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 + -185\/3. Let t(k) be the second derivative of 0*k**2 + 1\/84*k**7 - v*k**4 - 1\/10*k**6 + k + 3\/10*k**5 + 0 + 0*k**3. Factor t(x).\nAnswer: x**2*(x - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33805*i*k**5 - 2*i*k**4 + 33707*i*k + 2*k**2 - k wrt k.\nAnswer: 676100*i*k**3 - 24*i*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.0264 rounded to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1002324 by -1212.\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3369 or 571?\nAnswer: -3369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 11, -3 in descending order.\nAnswer: 11, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 divided by -19242?\nAnswer: 95\/9621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-14 - -1)*1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71084 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15111 (base 7) in base 5?\nAnswer: 113143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, f: 14}. Give prob of sequence ffh.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + 7*c - 2. What is d(-5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(405)*-2*4 - sqrt(405) - (sqrt(405)*1 + 0)))**2 + -4 + (sqrt(405) + -1)**2*5 + (0 + sqrt(405) - sqrt(405))**2 + 2.\nAnswer: -630*sqrt(5) + 42537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 54\/5 of a milligram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**4\/4 - 573*t**2. Let d(c) = -3 + 3 + 7*c. Give d(g(r)).\nAnswer: -42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11\/138 + 2\/23. Let p = -8 - -3.8. Let v = 4 + p. Is b >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = 3*k - 12, -4*k = -4*y - 24. Suppose -k*c - 4*n + 93 = 0, -n = 5*c + 22 - 109. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + 9*s**2 + 0*s**2 - 3*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -190 + 278. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 9*i. Let z be x(-9). Suppose z = -b - b. Suppose -5*v + v = -8. Solve b = 3*j + v*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, a: 3, x: 2}. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/204 and 1\/30?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4386832 is divided by 731137.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - 7*j - 4. Let p(q) = -q**2 - 6*q - 1. What is n(f) - 4*p(f)?\nAnswer: 2*f**2 + 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52586363.\nAnswer: 71, 740653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6190\/38 - 6\/(-57). Let p = y + -4. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 137. Let h = w + -41. Suppose 0 = a - h - 27. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111111 (base 2) to base 4\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 88368?\nAnswer: 441840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 659444109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phpbhhhhnpnbhhhhb. Give prob of sequence nb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914795273?\nAnswer: 7, 79, 1654241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2 - 91*g + 187. Determine r(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2694 + 2765 + 136*x**2 - 144*x**2 - 5459.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 82980*a + 746930. Give j(-9).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 4*y + 3. Suppose 2*u + 4 = 3*u. Let j be o(u). Suppose 0 = j*d + 2*a - 355, 2*d + 4*a - 177 = 73. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 + -163 - (1 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}