diff --git "a/data/dm_maths/full_data_1/10771_11255.jsonl" "b/data/dm_maths/full_data_1/10771_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10771_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 7*u = 4*u + 3*r, 5*u + 2*r - 7 = 0. Let t be u*3 - (-2 - -3). Suppose -f + 12 = t*f. Solve -g + f*g = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/18 - (-6)\/(-9). Let p(g) = 3*g + 16. Let m(k) = -k. Let i(r) = s*p(r) + 2*m(r). Let v be i(-5). Solve -2*z - 1 = v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.2 (c) 106 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -792 - 1167*t + 405*t + 303*t + 345*t + 3*t**2.\nAnswer: 3*(t - 44)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91322 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: What is the tenth root of 2633401 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -70. Let r(c) = -c + 515. Let z(u) = -8*g(u) - r(u). Calculate z(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -a - 4*a. What is v in 3*v**3 - 2*v**2 - 14*v**a + 13*v**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229579656 divided by 73068.\nAnswer: -3142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.1 (c) 1\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**4 + 10130*s**3 + 794604*s**2 + 5779822*s + 4995347 = 0.\nAnswer: -10051, -71, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 6 = -4*b, 0*a = 3*a + 4*b - 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68926, 137841, 206756, 275671, 344586, 413501?\nAnswer: 482416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -827 + 3742 = 5*j. Suppose -4*c + 2*n - 456 = -1586, -5*n = 2*c - j. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**4 - 3*i**4 + 3*i**4)*(-1287 + 1287 + 52*i) + (i**4 - 3*i**4 + i**4)*(0*i + 2*i + 0*i) + 3*i**5 + 6*i**5 + i**4 - 8*i**5 - 2*i.\nAnswer: 155*i**5 + i**4 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**2 - u - 7. Let c be r(6). Suppose -2*l - 2955 = c. Let z = 985 - l. Round z to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j**3 + 3*j**2 + 7. Let a(f) = 6*f**3 - 2*f**2 - 5. Determine 7*a(s) + 5*r(s).\nAnswer: -3*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2383224 times 78\nAnswer: -185891472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -0.08?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-1 - 1 - -3). Suppose 4*n + p*q - 4*q - 216 = 0, 0 = -5*n + q + 266. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 5*t + 35 = 0, -9*t + 8*t - 18 = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -13*i + 128. Let v be l(12). Does 38 divide 75*v\/(-6) + 28\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(v\/v**(-4\/5))*v))\/(v**(-1\/4)*v))\/(((v*v*v*(v**3\/v)\/v)\/v*v*v*v)\/(v\/v**1)) assuming v is positive.\nAnswer: v**(-139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379.3289 rounded to the nearest integer?\nAnswer: -1379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 56 = 4*w, 2*d + 2*w + 116 = 5*d. Calculate the smallest common multiple of d and 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 187?\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21350227?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.421 - -215.421. Which is bigger: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((666\/24)\/((-9)\/8))\/(74\/222))\/1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(52 - (-5858)\/(-116)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 11 (b) -0.18 (c) 2 (d) 2576 (e) 4 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 947638 to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/20380 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 0*g**4 + 0*g**4 + 62*g**5 + 185*g**5 - 172*g**5 + (-4 + 4 - g)*(g**3 - g**3 + 2*g**4) - g**5 - 2*g**5 + 6*g**5 + g**5 + 0*g**5 + g**5.\nAnswer: 76*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.5 + -19.3. Let l = 13.7 + -14. Which is the closest to -1\/4? (a) j (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 8*r - 1. Let u be f(6). Let z = -4 - u. Let p = -7 + z. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 789 = 3*g + 2*z, 2*z - 267 = -8*g + 7*g. What is the remainder when 1045 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*t = -5*t - 35, 5*a - 3*t = 40. Let q be (-4)\/a - (3 + -3). Suppose 2*p + 0*o = 5*o - 25, -p = -5*o + 25. Does p = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.420916 years to months.\nAnswer: 5.050992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 681 - 686. Let m(n) = 6*n**2 + 7*n - 5. Let g(h) = h**2 + h - 1. Let p = 2 + -2. Let y(c) = c**3 - c + 1. Let i be y(p). What is i*m(v) + j*g(v)?\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5876, 6286, 6696, 7106?\nAnswer: 7516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468) + 2)*-4) + ((sqrt(468) + -1)*-1 - sqrt(468)))**2.\nAnswer: 324*sqrt(13) + 4293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404928353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*(11 + -1). Suppose -3*x - 22 = -q*x. Suppose 2*t - t = 2. Calculate the lowest common multiple of x and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 21217914.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 24 = -2*a, 2*a - 3*j + 16 = a. Let i = a + 6. Suppose 0 = -4*l - 3*k + 30, l - 3*k - i = -k. Solve -2 = 4*s + l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 31. Suppose -5*h = 2*l - 891, h + c*l - 110 = 59. Is 44 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y**3 + 20*y**2 + 7*y - 23. Is n(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23035781?\nAnswer: 47, 89, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000117848 to 6 decimal places.\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1742266.\nAnswer: 6969064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/3 + 241*v**3\/3 + 98959*v**2\/3 + 196211*v\/3 - 98470 = 0. What is v?\nAnswer: -215, -3, 1, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -64*i + 664. Determine l(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11976 - -11969. Let q(h) = -11*h**3 - 6*h**2 - 5. Let r(i) = 6*i**3 + 3*i**2 + 3. Calculate d*r(g) - 4*q(g).\nAnswer: 2*g**3 + 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = f - 14, 3*g - 8*f + 13*f = 34. Solve 0 = 3*v - 0*v + 4*y + 1, g*v = 5*y + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 5, r: 1}. What is prob of sequence hhh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 + b**3 - 4*b**3 + (-2*b**2 + 4 - 4)*(6*b - b - 4*b) + b**3 + 2*b**3 + 0*b**3 - 5*b + 4*b**3 + 5*b.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (211 - 208)*4\/(-6)*38\/4\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002171483 to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 1201803?\nAnswer: 8412621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:33 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28329 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 fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*-4*-6*2)\/(sqrt(4) - sqrt(20)\/(sqrt(5)*5) - 3*(sqrt(4) + sqrt(12)\/sqrt(3))).\nAnswer: 120*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000101637 to 7 decimal places.\nAnswer: -0.0001016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16143630?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 152 = 38*o. Solve 3*d = d - o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**4\/24 + 859*k**2. Let u(w) = 506*w. Calculate u(m(a)).\nAnswer: -506*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 562*c**6\/3 + 140*c**2 - 4*c - 810. What is the second derivative of l(r) wrt r?\nAnswer: 22480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/40 and (456\/32 + -13)*17\/670.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 = 3. What are the prime factors of 1\/15*35*(71 - g)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-3)*p)\/(p\/(p*p*p**(-1)\/p*p)))\/(p**(3\/5)\/p*p\/(p**5*p)))\/((p*p*p**(-3\/5)\/p)**17)**(-11\/4) assuming p is positive.\nAnswer: p**(231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u, 5*i = 9*i + 5*u - 41. Suppose -49 = -i*k - 4. Solve -4*o = 4*c - 2 - 2, k*c - 5*o = -45 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/7*2*(-2)\/2. Let w(r) = r - 1. Let b(g) = g**2 + 5*g + 11. Let d(k) = b(k) + 2*w(k). Let c be d(-6). Solve n*t = -c - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 8 = 0. Let d be 0 - (-6 + 1 + 3). Let l = d - a. Solve 0 = -2*o - l + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-32)\/(-4))\/(-16) + 586\/4.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Let z = x + -0.0003. Round z to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4\/4 - 14*w**3\/3 - 5*w**2\/2 - 13*w - 10. What is the tens digit of c(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.96 take away -2032?\nAnswer: 2053.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a + 18*a - 12*a.\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32864 - -37.\nAnswer: 32901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2*n + 2, -3*d = -39*n + 38*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/9 - 974*l\/9 - 1924\/3 = 0.\nAnswer: -481, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6198203 by -3589.\nAnswer: -1727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y\/(((y**(-4)*y)\/y*y)\/y)*y)*y\/(y\/(y*y*(y\/y**(1\/3))\/y*y))*y**(-1\/3)*(y*y*y\/(y**(-2\/9)\/y))\/y assuming y is positive.\nAnswer: y**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 527982 and 28969386.\nAnswer: 5802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14104\/328 + (-114)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 1. Let p(d) be the third derivative of d**6\/120 + d**5\/6 + d**4\/3 - 4*d**3\/3 + 3*d**2. Let k = -914 + 905. Let w be p(k). What is n(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/14 and 73\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -64. Suppose -c = -34 + d. Suppose -16*g + 320 = -12*g. Calculate the highest common divisor of c and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1232\/17, -7, 2\/3, 0.3?\nAnswer: 1232\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 91*k**2 - 2*k + 32. What is r(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5 - 2454*s**4 + 1001224*s**3 - 134821120*s**2 - 411508800*s - 275684000 = 0?\nAnswer: -2, -1, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.31637 - -0.21637. What is the closest to -1 in -5\/3, s, -1\/7, 1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)*-1 + sqrt(576))\/sqrt(12))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 - 2*u + 2. Let d be t(2). Let b = d + -13. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3497, -6991, -10485, -13979, -17473?\nAnswer: -20967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 637\/52 + -13 - 30\/(-8). Suppose -d = -4*d. Solve 3*v + 2*m - 3 = -m, d = -v - t*m + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -148512?\nAnswer: 148518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 - 2)*(-3*v + 3*v + 2*v)*(5 + 0 - 4)*(v**2 - v**2 - 14*v**3) as s*v**3 + j*v**2 + g + r*v + o*v**4 and give o.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 1 (c) 4 (d) 48 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l - 24*l + 15*l + 19*l**3 to the form j*l**2 + n + y*l + u*l**3 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 - 55*b**4 - 240*b**3 - 520*b**2 - 560*b - 240 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0088329933 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**3\/3 - 7*r**2 - 49*r - 41. Factor z(g).\nAnswer: -(g + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*f**2 + 9124495480 - 9124495480.\nAnswer: 259*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**4 + 65*p**3 - 50*p**2.\nAnswer: 5*p**2*(p + 5)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 smaller than 551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvbbyvbbybyy. What is prob of picking 2 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1\/2, -6\/11, 0.5, 1\/11 in decreasing order.\nAnswer: 18, 0.5, 1\/11, -1\/2, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1483?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13433 and 43834.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w**2 - 652*w + 36. Give l(49).\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9f3e4 (base 16) in base 14?\nAnswer: 12d9c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c = -49*c. Solve 4*j + 2*u - 12 = -0*u, c = 3*j + 3*u - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1297 divided by -6?\nAnswer: 1297\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 146 (c) -2\/9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.68109 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13544112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 34*r\/3 - 76\/3.\nAnswer: 2*(r - 19)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*d - 492, 2*g + d - 116 - 130 = 0. Suppose g = h - 10. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/43)\/((p**(-36\/7)\/p)\/p)*(p**19*p)**(4\/9) assuming p is positive.\nAnswer: p**(43367\/2709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 487, 514, 527, 520?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 10 - 2*g - 4.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 1:33 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52235 and 32611490.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 - (-15)\/((-45)\/24). Let l(t) = -4*t**3 + 13*t**2 - 31*t + 46. Let b(w) = -3*w**3 + 8*w**2 - 21*w + 31. Let d(k) = s*l(k) - 7*b(k). Calculate d(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82717 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (62 - (2 - 4)) + (6 - -27) + -26?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2003*k - 21065 = 16992 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 31514, 126059, 283636, 504245?\nAnswer: 787886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.07, 1\/4 in ascending order.\nAnswer: -0.4, 0.07, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/5 + 12*o - 56\/5.\nAnswer: -4*(o - 14)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 9) to base 7.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 102010002210001001?\nAnswer: -102010002210001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*h - 21, 0 = -3*q + 2*h + h + 33. Let p be (-1 + (-12)\/(-9))*0. Let d(c) = c + 2. Let b be d(p). Solve b*l = -0*l + q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 903 divide 2536527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 59*l**2 - 3*l - 170. Let d be v(-59). Let x(q) = -9*q**2 + 2*q + 4. Let c(t) = 17*t**2 - 4*t - 7. Let a = -116 - -120. Give a*c(n) + d*x(n).\nAnswer: 5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1548340 * -5.\nAnswer: 7741700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*52\/(-780))\/((4\/2)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-6865.\nAnswer: 2746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1476668ug to tonnes.\nAnswer: 0.0000000000001476668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by (-441)\/(-7)*(-5 - (-228)\/42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - ((sqrt(99) + 1*sqrt(99))*-6 + sqrt(99))))**2*-4 + (-2*sqrt(99))**2 + sqrt(99) + -5 + 5.\nAnswer: -66528 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -0.2. Let q = k + -3.5. Let t be 3 + (-2 - -1) - (-5)\/(-2). Which is the closest to t? (a) 2\/15 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8711 - -103565.\nAnswer: 112276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 415634 and 12070?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 260*b - 258*b + 4*v, 0 = 8*b + v - 44 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -213 - -244.2. Let w = s + -32.2. Sort 11, w, 0, 1\/11 in descending order.\nAnswer: 11, 1\/11, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3\/19, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1540, 3104, 4672, 6244, 7820?\n\"Answer: 2*t**2 + 1558*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (9 + -20 + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*c**6 + 2*c**4 - 34*c**3 + c**2 + 7*c - 85 wrt c.\nAnswer: -2280*c**3 + 48*c - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.3? (a) 0 (b) -1\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -14ca0?\nAnswer: -14c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/60 + 68\/10. Solve -3*m - 7 = x, -5*x + g = -0*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18532\/(-14) - 68\/238. What is the thousands digit of (-6)\/(-9) - (-2)\/(-3) - s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*w**2 - 121\/2 + 11*w.\nAnswer: -(w - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -4*sqrt(77))*-1)\/(2*sqrt(28)\/sqrt(4)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/((-1)\/(-9)))\/(-1). Let k = 122 + 179. Suppose 2*t - o*t = -k. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 40, 0 in ascending order.\nAnswer: -28, 0, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 3*g**2 + 3*g + 24. Let f be h(6). What are the prime factors of (6 + -3)*(f\/2 - 4)?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5561.1 + -5863. What is w rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r = -30*r - 5015. Let n = r + -251. List the prime factors of n.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 254 + -59. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * 7.\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 9. Suppose q*f - 25 = -f. What is the third smallest value in 5\/2, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -266, -260, -252, -242?\n\"Answer: w**2 + 3*w - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 264433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*3*5\/(-75).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = 2*t - 438 + 172, -207*t = -m - 106*t - 99*t + 38 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 2. Let t = -4791 + 4803. Let k(z) be the third derivative of 0 - t*z**2 - z**3 + 0*z + 5\/12*z**4 - 1\/60*z**5. Give 7*f(y) + 2*k(y).\nAnswer: -2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0*c + 1\/4*c**4 + 0*c**3 + 0 + 6*c**2 + 1\/20*c**5. Factor l(d).\nAnswer: 3*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -10588 (c) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 14. Let r(l) be the third derivative of l**6\/120 - l**5\/60 + l**4\/12 - l**3\/2 + l**2. Let y be r(2). Sort b, 2, y in increasing order.\nAnswer: b, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -29 + 49 + 0 + 11 + -12?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1396536*k. Let y(j) = j. What is m(y(r))?\nAnswer: 1396536*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.2, -1\/3, 3\/4 in increasing order.\nAnswer: -1\/3, 0.2, 3\/4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-22))\/((-7)\/13146). Let n = v - -171. Calculate the common denominator of -125\/6 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 4. Let f(i) = -i**2 + 10*i - 4. Let o be f(v). Suppose -40 = -4*l + 4*u + 36, o*l + 3*u - 119 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-8))\/(22\/235018). Let x = 5343 + z. Let k = 1300\/11 + -3667\/22. Calculate the common denominator of k and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120200331 (base 4) to base 12\nAnswer: 4a139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -14 - (2 - 35)) + -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10647054 to the nearest integer?\nAnswer: 3263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*j + 5672 + 2752 = -12*j - 142*j for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001755426 rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a + 120 = 0, -3*g + 91 = -4*a + 178 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Let a = -6134\/11 - -558. Which is bigger: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**8*k)\/(k\/(k*k\/(k\/k**(2\/7))))*k**(-8)*k**(-6))**(3\/16) assuming k is positive.\nAnswer: k**(-207\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10 = 0, -2*o = -4*z + 8*o - 11*o + 89 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k + 8. Let x be (1 - 2) + 1 - k. Let f(w) = -w**2 + 29*w - 73. Let r be f(26). Sort x, -5, r.\nAnswer: -5, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -386, -155, -4, -24, 1, -3 in descending order.\nAnswer: 2, 1, -3, -4, -24, -155, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -18052.785715 to the nearest one hundred.\nAnswer: -18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 43599831?\nAnswer: 217999155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(11\/5)\/t)\/t**(-6\/19) assuming t is positive.\nAnswer: t**(144\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208032 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: Let z = -8\/9 + 2\/9. Let p = 3.1 - 3. Which is the nearest to z? (a) p (b) 0 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2, -2*f + 5*t - 7 = -3*f. Let d be (2\/(-4))\/(2\/(-56)). Let g be 99\/21 + 4\/d. Sort 3, g, f.\nAnswer: f, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000576872 rounded to seven decimal places?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0301378 rounded to 4 decimal places?\nAnswer: -0.0301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10527865 + -17320791. Let j = s - -6792927.5000006. Let k = j - 1.5. What is k rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13) - (sqrt(637) + 5 + sqrt(13)) - (-2 + -3 + sqrt(13)) - ((sqrt(13) - (-1 + sqrt(65)\/sqrt(5))) + (sqrt(78)*-1)\/sqrt(6))))**2.\nAnswer: 56*sqrt(13) + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -211\/7, 2887, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 10*n + 18. Determine q(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 197653360253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3180897 is divided by 177?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -418 by -2.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 + 2*q**4 + q**3.\nAnswer: q**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2774531 (base 10) to base 11.\nAnswer: 1625601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 576*r - 512*r + 1261*r in the form o + s*r and give s.\nAnswer: 1325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b**2 + 5*b - 1. Let i be a(-3). Suppose -4*j = 5*u + 209, -i*u - 71 - 10 = -j. Let p = 69 + u. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/3 - 52*u**3\/9 + 134*u**2\/9 - 128*u\/9 + 40\/9 = 0. Calculate u.\nAnswer: 2\/3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 + -0.2. Let i = 19.19 - 19.59. Put -18, f, 3, i in decreasing order.\nAnswer: 3, f, i, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*i + 15 = 0, 24*x - 19*x = -i + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/63121165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1551635953 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 - -178. Let o be (-12)\/24 - 3\/(h\/23). Let b = 14 - 17. Which is bigger: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*q + 2*m - m, 2*q = 4*m - 36. Is (1 - (-20)\/q) + (-36650)\/(-175) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.5 + 23.499718. What is r rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 - -72 - (-3 - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2107*d**4 - 2638 wrt d.\nAnswer: -8428*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-2 + 1)*-19. What is the remainder when 37 is divided by (-346)\/d + 4\/(-18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-651)\/189*15*-3. Solve a - y = -148 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 390329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**3 + 49*l**2 - 6*l + 33. What is w(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9475 + 170647\/18. What is the common denominator of l and 103\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32121, 31976, 31817, 31638, 31433, 31196, 30921, 30602?\nAnswer: 30233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-3\/4)\/v*v*v**5*v*v\/v**(5\/4)*v*v**5*(v*v**1*v)**(20\/3)\/(v**(-8)*v**(6\/5)*v) assuming v is positive.\nAnswer: v**(189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/(-390) + 2\/(-5). Which is the third biggest value? (a) 2 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29355 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x - 99. Let p be 61\/x - 0 - 14\/(-77). Sort -2\/9, 0.4, -0.3, p.\nAnswer: p, -0.3, -2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-7638)\/(-190) + (-9)\/(-5) and (-6)\/((2 + -3)\/20).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**2 + 226240*z = 0.\nAnswer: 0, 56560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 4*u - 1. Let g be m(2). Solve 0 = 2*x + g*o + 12, 5*x - 2*x - 2*o + 5 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.9 rounded to the nearest 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 3532509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141054.2 and -0.01?\nAnswer: 1410.542","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1174.8 and -1161942.3?\nAnswer: 1160767.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65, 49, 35, 23, 13, 5?\n\"Answer: p**2 - 19*p + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -13*b + 429 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**5\/24 + f**4\/24 - f**3\/18 - f + 64. Find r such that c(r) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.061 - 3.239. Let m = 3 + l. Let s = 0.2 - 0.3. What is the third smallest value in m, 1\/7, s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-3*2*sqrt(11)) + (1*sqrt(1200) + sqrt(1200))\/sqrt(6).\nAnswer: 119*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 2*d - 2*d)*(1 - 1 + 2*d**2) + 4*d**3 - 4*d**3 + d**3 + 395*d**3 - 789*d**3 - 697*d**3 to r*d**2 + p*d**3 + n + a*d and give p.\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 2. Let v be d(-4). Let f = -8.2 - -8.59. Let q = 0.61 + f. Which is the third smallest value? (a) 5 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 2) + 12\/7*(-714)\/306?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12920159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 9*b + 27. Let t be 63\/b*6\/9. Solve -t*f - 3 = -3*s, s + 0*s + 3*f = 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27075 + 6.\nAnswer: 27081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*m + 44*m = -308. Suppose 7*f - 159 = 4*f. Calculate the remainder when f is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 1. Calculate o(12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5054 - 5052. Put 0, -3\/2, c, -1 in decreasing order.\nAnswer: c, 0, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1439, -2934, -5351, -9152, -14799?\nAnswer: -22754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 - 54*f**2 - 46 + 88 to the form s*f + z*f**2 + d and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((3 - (-16)\/6) + -3)*372\/16. Calculate the greatest common divisor of q and 1457.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27364 + 245677\/9. Which is smaller: t or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23122330 (base 4) to base 5\nAnswer: -2444110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-424)\/28 + 15)\/((-6)\/35)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 2*p + 3. Let f be n(3). Suppose 6 = 2*l - f. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - -3) + (-149 - -130)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 9*q**2 - 6*q + 18. Let r(f) = f - 1. Let o(s) = p(s) + 5*r(s). What is o(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = -1. Suppose -3*x + 3*g + 1 = -11, -g - 6 = x. Is h > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.23 - 0.07. Let x = 0.38 + f. Let j = x - 3.08. Which is the third smallest value? (a) -0.4 (b) 1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 2*i**2 + 2*i. Let k(l) = -2*l**3 - 3*l**2 + 8*l + 3. Let c(g) = -3*j(g) + k(g). Calculate c(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 - 6*y**2\/11 - 156*y\/11 + 160\/11.\nAnswer: 2*(y - 10)*(y - 1)*(y + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 2. Let y(a) = -11*a**2 - 31*a + 5. Let t(x) = -3*i(x) + y(x). What is the second derivative of t(j) wrt j?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8935 is divided by 2459.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 at least as big as -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11149 is divided by 450.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 a factor of 58191303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -19. Let c(s) = -s - 2. Let h be c(-4). Let q be 3\/12*1*h. Which is greater: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 12*u**2 + u - 4. What is the remainder when p(3) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d**5 + 63254*d**4 + 26470*d**3 - 289920*d**2 - 105496*d + 147616 = 0. Calculate d.\nAnswer: -2, -1, 7\/12, 2, 2636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1 - 5. Find the second derivative of -6*y + 4*y - m*y**4 + y**4 + 0*y wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-333)\/(-5) - (-2)\/5. Let i = 2 + n. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2058 and 4431714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4 - b**2\/2 + b - 23. What is v(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7 + 0 - i - 7. Let z be j(-5). Let h(v) = -13*v - 24. Let p be h(-2). Solve p*g + z = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/11 and -41\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409590029.\nAnswer: 919, 445691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 227*m**2*n - 72211*m**2 + 207*n wrt n?\nAnswer: 227*m**2 + 207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 + 2440*c**2 - 52564*c + 277640 = 0.\nAnswer: -631, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-132)\/220)\/(6\/(-5)). Put 6, w, 3, 10 in increasing order.\nAnswer: w, 3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2. Suppose q = -5*q + 24. Let f(v) be the second derivative of 0*v**2 + 0 + 2*v + 0*v**3 + 1\/6*v**q. Calculate m(f(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:02 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2) - 0)*(-14 + 14). Put -3, d, -4 in decreasing order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -15 + -1)\/((-168)\/(-33) + -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 4*p + 5. Let y be o(4). Let x(u) = 5*u - 8. Let j(z) = -3*z + 5. Let f(l) = 8*j(l) + 5*x(l). What is the units digit of f(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Suppose 0 = 4*p + i*z - 45, 2*p + 4*z - 2 = 18. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -230*20\/(-2 - 2). Suppose o + p = 4*i - o, -3*o + 15 = 0. Suppose -i = -5*v - 0*v. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 3*g - 345. What are the prime factors of g?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41 and 26\/7 + 50\/175 + 5.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.3 + -52.3. Let f = 44 + h. What is the closest to -2 in 5, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 d when four letters picked without replacement from ldddududttludtldudl.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let n(x) be the first derivative of -4*x**3\/3 - 4*x**2 + 2007. Determine d(n(u)).\nAnswer: 4*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 12*v**2 + 5*v - 4. Suppose -5*f + 10*f - 3*g + 7 = 0, -3*f + 23 = 5*g. Let i be c(f). What is the greatest common factor of i and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**3 + 2*h**2 + 2*h + 3. Let q be x(3). What is the common denominator of 29\/18 and (-3)\/(-14)*q\/(-10)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9003 times 15\nAnswer: 135045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806898623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 32*h**2 - 24*h + 37. Determine x(-31).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -3*q + 378. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-222)\/28 - -9)\/(34\/68 + (-19)\/14)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20476 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0095967 rounded to 4 decimal places?\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -926 = -916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 12) to base 10\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2 - 292*g + 912 = 0.\nAnswer: -76, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 + 234*o**2 + 229*o - 624. Give c(-116).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.8, -7.657, 6, -2\/55.\nAnswer: -7.657, -2\/55, 2.8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = -3*s, 2*w = -s - 1. Let a be 1000\/120 - w\/(-3). Solve 7 - a = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -204, -633, -1342, -2325, -3576?\n\"Answer: y**3 - 146*y**2 + 2*y - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 10*z**2 - 2 + 2. Let l(o) be the first derivative of o**3\/3 - 6613. Calculate x(l(b)).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/(403140\/(-7200) + 56)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6899.56 days to nanoseconds.\nAnswer: 596121984000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55, 63, 81, 115, 171, 255?\n\"Answer: u**3 - u**2 + 4*u + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 1 - (0 - 0). Let t(y) = -2 + 6531*y + 6534*y - 13063*y. What is t(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/6*q**2 + 5\/6*q + 0 = 0. Calculate q.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:31 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 339943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(4 + 68\/(-20)). Solve -f*q + 12 = -2*x - 16, 5*q = -x + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305883 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**6\/15 - 5*o**3 + 19*o. What is the second derivative of m(a) wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -9 + 34. Let x = 8 + -3. Solve z = -2*j - 3, x = -5*j + y*z - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t + 15 = 0. Let v be (2\/t)\/(2\/570). What are the prime factors of (2\/4)\/(3\/v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -2.78, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, 13, 25, 32, 2 in decreasing order.\nAnswer: 32, 25, 21, 13, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22605*l**3 + 152 - 82 - 70 - 45106*l**3 + 22504*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000546384933 to seven dps.\nAnswer: 0.0000546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1332 - 3994\/3. What is c in 2\/3*c**2 + 0 - k*c = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 3*f**2 - 2*f + 3. Let m be y(4). Let n be (-1)\/((-20)\/(-18) + -1). Is m*((-12)\/n - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzfzfz. What is prob of picking 2 z?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in -3.16, 0.09, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -2320020\nAnswer: -11\/2320020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -225*q. Let g(y) be the third derivative of -y**4\/12 - 314*y**2. Determine j(g(t)).\nAnswer: 450*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12378870 and 450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 1. Let m(t) = -2*t. Let z(x) = x**3 - 4*x**2 - 22*x + 55. Let p be z(6). Determine p*m(i) - 4*y(i).\nAnswer: 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 10:24 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*10*2\/(-5). Let r(z) = -1339*z + 1. Let f be r(-1). Let s be f\/16 - 2\/u. What is the greatest common divisor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 186 = 3*z. Suppose -2*l - z = -4*f, 4*f - 64 = l + 11. Calculate the greatest common factor of f and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/288 and 13\/22752.\nAnswer: 22752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3661220 and 3660?\nAnswer: 10983660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 137, 2, -10.\nAnswer: -10, 2, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72)\/(-16)*(-48)\/(-108). Sort u, 5, -5 in increasing order.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -754, -1729, -3074, -4789, -6874, -9329?\nAnswer: -12154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 68, 145, 228, 317, 412, 513, 620?\n\"Answer: 3*c**2 + 68*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.4, -0.13, 0.41, 3 in descending order.\nAnswer: 3, 0.41, 0.4, -0.13, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9245 - 0?\nAnswer: 9245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -72*y + 70*y. Solve -y*z = -64*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1424*m*r**6 - 5*m*r**2 + 27*m*r - 25*r**6 + r**2 + 2*r + 325 wrt r?\nAnswer: 170880*m*r**3 - 3000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340850 + 134313 = -13*x. Let q = -13870 - x. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-2 - sqrt(180))\/sqrt(4) - (1*sqrt(6480) - sqrt(45)))\/(-2*(sqrt(27)\/(sqrt(3) + sqrt(3)*2) - sqrt(9) - (-1*sqrt(54))\/sqrt(6))).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -456*i**3*o**3 - 19*i**3*o**2 + 797*i**2 + 19*o**3 wrt i.\nAnswer: -2736*o**3 - 114*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 7*h - 2*h. Let s = -62 - -62.3. Let l = -27.9 + 28. Which is the closest to l? (a) h (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 52299089.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/3 + 6)*(-1359)\/(-6). Suppose -3*d - r = -4*h, d - 107 = -5*h + 96. Is h at least as big as 207\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -71763, -71765, -71767, -71769, -71771?\n\"Answer: -2*o - 71761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 138 + -212 + 0 + -15 + -10 + (-6 - -6)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 7*t = -10*t + 160. Sort t, -2, 4.\nAnswer: t, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83.7 times 13795\nAnswer: 1154641.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g + 2. Let f be a(0). Let v(k) = 9*k**f + 14*k**2 - 2 - 38*k**2 + 14*k**2 - k. Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*p - 3, 5*h - 2*p - 31 = -4*p. Suppose -2*f + 2*j + 127 = h*j, -3*f + 168 = 3*j. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -d. Suppose -81 = d*f - 6. Let k = 10 - f. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 5. What is the units digit of g(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.14 to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114*x**3 - 1 - 56*x**3 + 1 - 1 - 7*x wrt x?\nAnswer: 348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 4*k**2 + 5*k**2 + (4*k - 4*k + k)*(-2*k + 0*k + k) - 9*k**2 - 3*k**2 + 5*k**2 as t*k**2 + h + o*k and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, o: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 2, j: 1, m: 5, w: 7}. What is prob of sequence vu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1868, -7784, -17748, -31760?\nAnswer: -49820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5\/3 + 2524*p**4\/3 + 265440*p**3 - 2524*p**2\/3 - 796322*p\/3 = 0?\nAnswer: -631, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*h - 156*h = 98*h - 7266 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 163*g**2 - 2276*g - 43. Give j(14).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3\/7))**(-1\/57)\/(o**35)**(-49) assuming o is positive.\nAnswer: o**(684281\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:10 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d - 4*v + 46, 0 = 2*d - 4*v - 44. Let u(b) = 2*b**3 + 19*b**2 - 11*b + 7. Calculate the remainder when d is divided by u(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43246\/9 - 4800. What is the common denominator of 10\/16*(-74)\/(-5) and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = 0, -3*l - 19 = -2*h - 0. Suppose 0 = h*q - 7*q - 25. Let j = 4 - q. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/66 - (-6618)\/(-109197)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13484 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2424 and 33558159?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -12. Suppose 17 = 3*j - 3*o - 2*o, -5*j - o = 9. What is the remainder when (1 - 0)\/j - -30 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -23.01.\nAnswer: -2.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*x - 2 - 13 = 0, -5*s - 2*x = -31 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1187962 and 15150.\nAnswer: 89097150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20759 = -522*b + 15587 - 37632 for b.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/2))**(-9\/13)*(r*r*r**1*r)**(3\/2) assuming r is positive.\nAnswer: r**(129\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = n - 2. Suppose a - 108 = -20. What is the highest common divisor of n and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000000010101 (base 2) to base 14\nAnswer: -2dc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12458662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1330\/168)\/((-150)\/(-8)) - (-16)\/(-360)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3348822?\nAnswer: 2, 3, 433, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1398*f + 2470 = -2677*f + 1409*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1973630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(630\/40))\/(10\/7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1+-1.1605102986279\nAnswer: -2.1605102986279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4220 + -4208. Solve -17 = 2*l + 3*z - 10, 5*z = -3*l - o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 5*i**2 - 2*i - 3. Let p(v) = -3*v - 7. Let q be p(-3). Calculate the smallest common multiple of x(-4) and (1 - q - 19)\/(-9 + 7).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10)\/4*10\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71487452*d**5 + d**4 + 104*d + 114725 wrt d?\nAnswer: -1429749040*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42730 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: Let f = 18731 - 19217. What is the second smallest value in f, -3\/2, 5, 0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 15 = -5*v + 9*r, -5*v + 2*r + 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015256 rounded to seven dps?\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5716)\/4287*(-6)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 + 9.09. Let d = c - 4. Sort d, 2\/5, -4 in ascending order.\nAnswer: -4, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 0, 4, -5.\nAnswer: -37, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108179 = -4*i + t + 108151, 56 = -5*i - 4*t for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8.1. What is the nearest to 0.1 in x, -0.4, 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21\/(6\/(-4)*7\/(-903)).\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 1:06 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*x - 17*x - 18. Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-14 + 20 - (0 - -1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74663 is divided by 312.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a microgram in nanograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8 - 3*b**2 + b**3 + 0 - 4*b**2 - 4*b - 2*b**3. Suppose 0*l + 3*l = -18. Calculate n(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 6. Let h be v(-6). Let j be 44 + 0 - (0 + h). Suppose i - j = -i. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.5. Suppose -5 + 25 = -4*y. Let g be 2\/4*-10 + 1. What is the biggest value in g, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.743 - -3.747. Let h = j - 0.104. What is h rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 3) + -2 + (-3)\/(-2). Which is the closest to w? (a) 1\/2 (b) 2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/5829 and -68\/261.\nAnswer: 17487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13. Is 2 a factor of 5\/(-15)*(-30 + r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 37, -10\/3, 1\/2, 3, -5955, -0.3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14460 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdl when three letters picked without replacement from {u: 1, l: 4, t: 2, d: 2, q: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 + 177 = -3*b. Let v = b - 101. Let y = v - 369\/5. What is the second biggest value in y, 2\/9, -3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - g**2 + g**2)*(-6*g**2 + 11*g - 11*g) + 93*g**4 - 15*g**2 + 15*g**2.\nAnswer: 99*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 7. Let n = r - -43. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58689\/8 + 7347. Let t = -725\/88 + s. What is the common denominator of 67\/12 and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/17 - 15\/136. What is the nearest to 0 in u, 5, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 8:14 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2 - 85*x. Let v be m(7). Let n be (-114)\/(-304) - v\/16. Suppose -2*j = -y + 7, -2*j + 25 = 4*y - 3. Which is bigger: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10911?\nAnswer: 3, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560)*-2 - (sqrt(35) + sqrt(140)*3))\/((sqrt(252) - -3*(sqrt(252) + 1*sqrt(252))) + (sqrt(252) - 1*(sqrt(252) + sqrt(252)*-1))) + 5)**2.\nAnswer: -25*sqrt(5)\/8 + 6525\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 0*x**2 + 0*x + 0*x**4 + 1\/3*x**3 + 0*x**5 - 2 + 1\/6*x**6. Find the third derivative of i(c) wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - (-27 + 27) - (2 - -19)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2428*b + 4*m = -2430*b + 18, -2*m + 7 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2. Let b(n) = -11*n + 4. Let j(t) = 12*t - 5. Let c(z) = 5*b(z) + 4*j(z). Determine c(w(v)).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 346356670 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + (sqrt(98) - (sqrt(98) - 4*sqrt(98))) + -3)**2.\nAnswer: -210*sqrt(2) + 2459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2446, 4587, 6726, 8863, 10998?\nAnswer: 13131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1 - 9 + 10 - 105*f in the form l + r*f and give r.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -23*v**3 - 5*v + 5. Let u = -920 + 919. Let t(l) = -l**3 - l + 1. Give u*d(s) + 5*t(s).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 18 = 3*n, 0 = -10*n + 12*n + 4*g + 44 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 19*o**2 - 314*o - 1785. Determine d(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/271 - 10573\/1084. Calculate the common denominator of o and 47\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0*l**5 + 2*l**2 + 0*l**3 + 1\/6*l**4 + 0 - 1\/210*l**7 + 0*l + 0*l**6. Find the second derivative of c(q) wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a second in milliseconds?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/7 and -3\/248665?\nAnswer: 1740655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97.1 - 97. Let m = 719 + -710. Which is the nearest to m? (a) 4 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.194\nAnswer: -0.0388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-286) + 56\/(-308)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 710 + -644. Calculate the remainder when f is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5122)\/1576)\/(9\/(-6) + 2\/8)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9965 = -2*j, 4*m - 8*m + 8000 = 4*j. Suppose 32*k - 13*k = m. What is the highest common factor of 42 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2\/11, 454, 5, -3, -14 in decreasing order.\nAnswer: 454, 5, -1\/7, -2\/11, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10624)\/5440 - (-12)\/34)\/(-4 + 192\/50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20869152 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12134669, -12134671, -12134673, -12134675, -12134677, -12134679?\nAnswer: -12134681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 80*t**2. Let b(d) = 1360*d. Calculate b(c(p)).\nAnswer: 108800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5543 + 15085. List the prime factors of k.\nAnswer: 2, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -4408146\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 20724200 to the nearest 10000.\nAnswer: 20720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 633.8577 times -4?\nAnswer: -2535.4308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g + 3*g = -78 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.583 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((-7)\/((-42)\/(-9))).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -16?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169 + 346*j - 169 + 67*j)*(-2*j + 5*j + 0*j - 3*j - j + 3*j + (-1 - 1 + 3)*(-3*j + 0*j + 2*j) + 3 - j - 3 + 2 - 2 - 2*j).\nAnswer: -826*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*w + 918*w = 8355 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(75) + (sqrt(75) + 0 - sqrt(75)) + sqrt(75))*-4 - (-4*sqrt(75) + -4 + sqrt(75)))**2*-2 + -3.\nAnswer: -800*sqrt(3) + 7561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/16)\/((-1)\/(-12)). Let z = k - 7. Let i be 11 - ((-89250)\/324)\/(-25). Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2247879 - 474*d**2 - 2247879 + 472*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 392 = 2*c. Let a = c - -51. Suppose a*g - q - 16 = -5, g - 5*q - 28 = 0. Solve 20 = -g*i + 8*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Suppose f*p = p - 12. Let z be (-30)\/p*(-4)\/(-6). Sort z, 1, -2 in descending order.\nAnswer: z, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794245?\nAnswer: 5, 158849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(35\/(-15))*14\/(-3). Let d be 4\/(-18) + (-1101)\/27. Let s = d - -27. Is f not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 8 = -z + 11*z, -z - 5 = 3*t - 4*t - 2*z - z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -783019*q**3*v*w**3 + 3545626*q**3*w - q**2*v**3*w**2 + 57*q*v**3*w**3 + v**3*w + 4*v**2*w**2 wrt w?\nAnswer: -4698114*q**3*v + 342*q*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-1 - (-28)\/4. Let g be -2 + q*(-4)\/(-10). Suppose 2*l - 10 = -g*l. Solve -l*d + 3 = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104814015 to the power of 1\/2, to the nearest integer?\nAnswer: 10238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**3 + 26*t**2 - 12*t**3 - 27*t**2 + (t**2 - 3*t**2 + 3*t**2)*(67*t - 194*t + 53*t) as z*t**2 + y + a*t + k*t**3 and give k.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 18*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8783612 decades in years?\nAnswer: 8.783612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)*n**(-5))\/(n**0)**(-11\/5))**(-1\/12) assuming n is positive.\nAnswer: n**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2*s**2 + (-3 + 3 - 2*s)*(3*s + s - s) + 2 - 2 + 2*s**2 + 85*s**2 + 103*s**2 + 20*s - 170*s**2 in the form q + r*s**2 + b*s and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58009459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19686 divided by 386.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 289*m + 292*m - 15, 0 = 5*f - 3*m + 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.7 + 0.3. Suppose 83 = 3*n + 2*q, -4*q = 3*n - 43 - 48. Let j = n - 47\/2. What is the second biggest value in g, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5, 14, 23, 32?\n\"Answer: 9*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 633, 626, 635, 678, 773?\n\"Answer: 3*f**3 - 10*f**2 + 2*f + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/21 + -30 + (-21224)\/(-588)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 8:10 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 31. Suppose 3*r = -2*t - 2*t + 19, -5*t = -5*r - 15. Let n be r\/(-2)*2\/4. What is the closest to 1 in x, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 minus 10769434?\nAnswer: -10769434.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 6 + 36 = 0. Let i be -22 + 29 + (2*-1)\/z. Put -4, -2, 3, i in descending order.\nAnswer: i, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4\/20 - (-21)\/(-180)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2852 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 833342751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 5, 1\/387, 61\/23?\nAnswer: 61\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -41. Suppose -4*d = -5 - l. Solve -4*f + 1 = -d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.52 + 1557.\nAnswer: 1555.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 1 - 16. Let c = -5 + g. Suppose 12*f = 8*f + i + 2, 2*f - 2*i - 4 = 0. Solve -3*s + 9 = -q - f*q, c = -3*q - s - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p*t**3 + 3*p*t**2 + 123*p*t - p + 2281472*t**6 + 2*t**2 - 129 wrt t.\nAnswer: -6*p + 273776640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 20 = 0, j - 5*j = u - 359. Let a = -1189\/12 + j. What is the common denominator of 15\/14 and a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177683 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 289320 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 28*c**2 + 74*c + 1 wrt c?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 5951\nAnswer: -5950.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7991750 <= -7991750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 269 and -0.167006?\nAnswer: -44.924614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300992 to the power of 1\/2, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(3))\/sqrt(2) - sqrt(77)\/(sqrt(28) - sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (169920\/(-50976))\/((-190)\/12)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 683566 and 186599.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, -17 in descending order.\nAnswer: 3, 2, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 9. Let a be m(7). Suppose 235 = -a*d + 749. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let v = -3 - -5. Let j(p) = -p**2 + 2*p**v + 2*p**2. Determine o(j(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 3*i + 65, 3480*i + 3*m = 3478*i + 39 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029069 rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 727, 1386, 2023, 2626, 3183, 3682?\n\"Answer: -2*k**3 + k**2 + 670*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/22)\/(9*(-2 + 1)). Solve -52*k + 5*k + 282 = l for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (273\/(-315) - 2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8527 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from mmmftcttpct.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 600 - 989. Let q = r - -1586. Is q a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-7 + (11 - 21))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 20. Let b(j) = -1140*j**2 + 6 - 17*j + 11*j + 1171*j**2 + 24*j. Is b(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -18. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 152, 105, -12, -235, -600, -1143?\n\"Answer: -6*u**3 + u**2 - 8*u + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(0\/3 - 2). Let u be i*(2 - (-1 + 4)). Solve u = 3*y - 3*r + 3, 0 = -y + 2*y - 3*r - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 708\/(-174) + 192\/(-580). Let n be 2\/7 + 32\/(-63). Which is the closest to 12\/5? (a) o (b) -1 (c) n (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 2*y = 1890. Is (-186249)\/y + (-2)\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1340 and 890?\nAnswer: 119260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -64920000 to the nearest 1000000.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -87, -195, -415, -783, -1335?\nAnswer: -2107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 235c3?\nAnswer: -235b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3637, -3640, -3643, -3646, -3649, -3652?\nAnswer: -3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - (sqrt(119) + (-4*(sqrt(119)*-2 - sqrt(119)) - sqrt(119))))*-5)\/((sqrt(77)*2)\/sqrt(11) + (sqrt(84)*1)\/sqrt(12)))**2.\nAnswer: 51425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/(-28))\/(2\/20). Let y = p - 451\/126. What is the common denominator of y and (-483)\/20 - ((-184)\/161 - 130\/(-175))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -22. Let n(j) = -j**2 - 4*j + 1. Let g be n(-3). Solve 0 = 2*i, -g*d + i = w + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 159 = -11*a. Let t = 12 - a. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39.0015 - 35.00031. Let i = h + -4. What is i rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 108422*y - 3469486. Calculate m(32).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/7 + 23700*m\/7 - 70211250\/7 = 0.\nAnswer: 5925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 4*r**2 - 50*r - 5. Let b be c(-8). Is b at most as big as 1162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 417*i**3*v + i**3 - 7*i**2 + 4*v**4 - 35 with respect to v.\nAnswer: 417*i**3 + 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s - 90. Let k be (-12)\/s*6\/20. Let y = 5 - 10. Which is the nearest to k? (a) 1 (b) 2\/19 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 31*l + 32. Let y be m(32). Suppose -9*g - 619721 + 230021 = y. What is g rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**2 + 177*a - 286. What is x(-15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + c**2 + 0*c**2)*(-2*c + 0*c + c) + 34*c - 34*c - 6*c**3 - c**3 + 0*c**3 + 4*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187136 divided by 688.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**3 + 1144*v**2 - 82004*v + 80864 = 0?\nAnswer: 1, 133, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 + 2*t + 15. Let q be k(-11). Let r be (-14)\/42 + 5302\/q. Let p = r + 65\/28. Find the common denominator of p and -35\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - x - 1. Let q(z) = -9*z**3 - 4*z - 6. Let d(v) = -6*a(v) + q(v). Find the second derivative of d(c) wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*0.58\nAnswer: -7.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8275 - 4110. Suppose -y = z - 16665. What is y rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q. Let j(p) = -5*p. Suppose -u + 1 = -4. Let v = u + -9. Let m = -2 + 5. Determine m*j(r) + v*i(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81976, -327882, -737720, -1311490, -2049192, -2950826?\nAnswer: -4016392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1414430 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 21*m - 63. Let c be s(10). Let b = c + -113. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 12, -1 in ascending order.\nAnswer: -11, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141541 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2888 >= -2876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -7*u**4\/24 + u**3\/2 + 289*u**2\/2 - 46*u. Let z(s) be the first derivative of l(s). Let m(o) = 3*o. Calculate m(z(q)).\nAnswer: -21*q + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 19*p - 3. Let b be w(6). Let z(y) = -3*y + 11. What is the least common multiple of 11 and z(b)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 2. Let d(g) = 12*g**2 + 40*g - 28. Let o(s) = -d(s) - 8*j(s). What is f in o(f) = 0?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 6*i**2 + i - 3. Let t = 0 - -5. Is 9 a factor of p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 225, 2007, -4 in descending order.\nAnswer: 2007, 225, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 3*p. Let t be (-48)\/9*(-3)\/p. Is (t\/3)\/((-1)\/(-3)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -400 + 420. Let i = -5 - -7. Calculate the smallest common multiple of (0 - (-8)\/d) + 480\/50 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11197.\nAnswer: 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**3*i*i*i*i*i\/i**(-12)*(i*i**(1\/4))**(-37) assuming i is positive.\nAnswer: i**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 29*g**3 + 1218*g**2 + 20*g + 9. Calculate q(-42).\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-3))\/(8*(-56)\/(-1344))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.943 - -7\nAnswer: 8.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let n = -0.19 + -0.91. Let g = n + u. Which is greater: 0.1 or g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aa1251 (base 11) to base 16\nAnswer: -1ad555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f**2 + 5*f - 3. Let v be a(2). Let z = 29 + v. Suppose z = 8*n - 9*n + 2410. Round n to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1. Let l(y) = 3*y + 6. Let q(v) = -9*v - 98. Let a be q(-11). Give a*l(m) - 4*x(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6102?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8780367 - 2790367. What is s rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 4*d + 5. Let l(t) = t**2 - 3*t + 5. Let u(m) = -3*l(m) + 2*p(m). Let g be u(0). Let z be (-1 - (3 + -2)) + 7. Put g, z, 0 in descending order.\nAnswer: z, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1072 - 1071.956. Which is the nearest to 0? (a) l (b) -5 (c) 1\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-130)*175*24\/840.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 167 = -113. Is 62 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -42*y**3 - 4*y**2 - 5*y - 3. Let q(d) = d**2 + d + 1. Let l(p) = -j(p) - 4*q(p). Let u be l(1). Calculate the greatest common factor of 21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -2 - (sqrt(42)\/sqrt(6) + 1))*-1*-2.\nAnswer: -6 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105084820?\nAnswer: 2, 5, 17, 19, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -8) + -65 + -36 + 39\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by 21\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc - 113?\nAnswer: -1e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1818647, -1818647, -1818639, -1818617, -1818575, -1818507, -1818407, -1818269?\nAnswer: -1818087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -120*w + 1088. Determine y(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 8 (b) 8\/13 (c) -5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 5*w**2 + 6*w + 1. Let f(m) = -m**3 - 6*m**2 + 7*m + 1. What is 6*b(i) - 5*f(i)?\nAnswer: -i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26371*b + 14750 = -26381*b. Is -1476 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -n + 4*n. Suppose 39*g = 19*g + 23*g. Suppose 57*i - 62*i + 15 = g. Solve 6 = i*f, -14 = n*h + f - 5*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/2*(-383328)\/199650.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 38. Suppose -r + 27 = -h*r + 2*n, -4*r - 34 = -2*n. Is r smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -3 (b) -1\/3 (c) 25\/4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21223\/7 or 3031?\nAnswer: 3031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 337571191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 223, 225, 227, 229?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -3 - 0 - -8. Suppose -3*j - 18 = -5*w + 2*w, -5*j + 3*w - 26 = 0. Let f be ((-13)\/j - 1)*4. Which is bigger: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 6*d + 1. Let i be m(4). Suppose i = -5*p + 24. Suppose -p*t + 5 + 4 = 0. Put 0, -2, t in ascending order.\nAnswer: -2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.290265 and -13.9.\nAnswer: -14.190265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3548 + 3580. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12801436.97 to the nearest ten thousand.\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 924*q**2 + 15709*q wrt q.\nAnswer: 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 377497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (7 + -6 + -7)) + (5 - (-10 + -12))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 82\/1025*(-260)\/(-676)\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6408, 6354, 6264, 6138, 5976, 5778, 5544?\n\"Answer: -18*y**2 + 6426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 2:34 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-245)\/(-21) - (10\/6 + -1). What is the highest common divisor of 44 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43074, 172386, 387914, 689664, 1077642, 1551854, 2112306?\nAnswer: 2759004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -15*g + 15. Let v = -3321 - -3326. Let w(r) = 6*r - 6. Calculate v*z(k) + 12*w(k).\nAnswer: -3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*(5 - (-2*2)\/4). Let l = -54 + c. What is the units digit of (97\/(-4) + 1)\/(l\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 14*g - 11*g + 2*g)*(-4 + 1 + 2) to q + o*g and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2770, 2748, 2726?\nAnswer: 2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**6 + 161*b**4 + 155*b**2 wrt b?\nAnswer: -240*b**3 + 3864*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48365762 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*q**4 + 737*q**3 + 26*q**2 + 113 wrt q.\nAnswer: -216*q + 4422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -28. Is q > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -396*p**2. Let q(m) be the third derivative of 0 - 77*m**2 + 0*m**3 + 0*m**4 + 0*m - 1\/30*m**5. What is d(q(n))?\nAnswer: -1584*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -6\/49 (c) -0.04 (d) 19 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 4*x + 4. Let r be y(4). Suppose 0 = -4*h - 7*g + 3*g - 100, 0 = -3*h - g - 75. Let d = h - -25. Put 1, d, r in descending order.\nAnswer: r, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 d when three letters picked without replacement from {n: 1, d: 5, w: 1, u: 1, y: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -978, -4340, -10424, -19578, -32150, -48488, -68940?\nAnswer: -93854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and 15310.34.\nAnswer: 520551.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5091602\/47 - 108332. Let y = 6.3 - 0.3. Which is the third biggest value? (a) x (b) 4 (c) 0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 32*s**2 - 31*s - 68. Let b be i(33). Let k be 6\/(-6) + 2\/1. Let f(o) = -2*o - k + 5*o + 0. What is f(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 a when three letters picked without replacement from azaaaz?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 3*s**5\/10 + 5*s**4\/12 - s**3\/3 - s**2 + 6*s. Is c(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1838030 divided by -410\nAnswer: -4483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223.71721 rounded to 0 decimal places?\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**7\/14 + 3*s**5\/10 - s**3\/2 - 2*s + 5. Let b(v) be the first derivative of i(v). Solve b(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 476*m**5*s + 3*m**3*s - 14*m - 53*s wrt m?\nAnswer: 9520*m**3*s + 18*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 5, -4\/75, 2\/5, 138?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*o - 1509 = -3*o, g - 510 = 2*o. Does 56 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 868 and 103913674.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5386*p**2 + 266 wrt p.\nAnswer: 10772*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**3 - 9240*x**2 - 569*x + 56855705 wrt x?\nAnswer: -6*x**2 - 18480*x - 569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -76*q - 1. Let t(i) = -51*i - 1. What is -5*g(o) + 7*t(o)?\nAnswer: 23*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74396 and 3528?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 8*n + 15. Let u be s(6). Suppose u*i - 3 = -0*i. Let b be 19\/17 + 0 - i. Sort b, -0.2, -0.3 in decreasing order.\nAnswer: b, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 14*z**2 - 8*z - 8. Let x(u) = 5*u**2 - 3*u - 3. Let q(v) = -3*h(v) + 8*x(v). Let p(a) = 78*a - 3. Determine p(q(d)).\nAnswer: -156*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1755990 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 6*j**2 + 102*j + 386. Let k be x(-4). Are 0.0887 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*n, -w - 6*n = -4*n - 9. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 4)*(-1 + 0). Suppose d = 3*j - 28 - 7, b*j + d - 20 = 0. Let y = -21 + 23. Calculate the least common multiple of y and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 131838543 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 23 = 8 - 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - y**2 + 1. Let i(k) = -7*k**3 + 6*k**2 - 7. What is -6*b(j) - i(j)?\nAnswer: 13*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/5)*n\/(n*n*n*(n\/n**(-3\/7)*n)\/n*n)*n**(1\/2)\/(n*n**(-1\/6)*n) assuming n is positive.\nAnswer: n**(-689\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 69, -496, -1097, -1752, -2479, -3296, -4221, -5272?\n\"Answer: -3*c**3 - 544*c + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73361433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 114\/(-21) + 2*6\/(-21). Suppose 4*x = 2*l - 3*l + 20, -l - 16 = -2*x. Put 1, s, x in descending order.\nAnswer: x, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcqt when four letters picked without replacement from tqccqtqqcc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107737 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78730, 78728, 78724, 78718, 78710, 78700, 78688?\n\"Answer: -p**2 + p + 78730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u + 4 - 10*u - u**2 + 10*u. Let w be m(-9). Suppose -w*t - 72 = -y, t - 5*t = 4*y - 188. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/16 + (-18)\/8. Let n = 19 + -12. Calculate the remainder when (i\/6)\/(3\/(-171)) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.94 + -0.06. Let n = q + 5.2. Let t = 17 - 17. Which is the smallest value? (a) n (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(sqrt(20)\/sqrt(4) + 5 - (sqrt(120)\/sqrt(4))\/sqrt(6)))**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4280798 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a factor of 90191096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*n + 3*h + 4, 5*n + 4*h - 13 = 0. Suppose -n*b + 356 = 2*o, -4*o = -9*o + b + 917. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359901 divided by 119967?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*o + 19. Suppose -o*s + 28 = 5*n - 102, 0 = 3*n - 4*s - 85. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4821 + 270876460.\nAnswer: 270876460.4821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 2222231?\nAnswer: 2222300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/62355 + 744107\/124710. Calculate the common denominator of 121\/2352 and a.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58ce (base 16) in base 5?\nAnswer: 1211414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*i = -55, -4*i = 3*w + 23 + 12. Let d(t) = -t**2 - 10*t + 2. Let r be d(w). Solve 2*o = -v - r, 3*v = -20 + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 7*t**4 - 4*t**4 + (2*t**3 + 0*t**3 - 4*t**3)*(-11 + 16 + 0 + 3*t).\nAnswer: -4*t**4 - 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 684549360 to the nearest 1000000.\nAnswer: 685000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5013134038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 907380161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - v = 16, 4 = 5*h + 4*v - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**(-2\/5)))*q*(q\/((q**2\/q)\/q))\/q*q)**30\/(q\/((q\/(q*q**(-6)))\/q*q)*q*q*((q\/(((q**0*q)\/q)\/q))\/q*q)\/q*q**0\/(q*q*q**(1\/4))) assuming q is positive.\nAnswer: q**(425\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 93.\nAnswer: 8\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -84, -121, -156, -189?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4 - 3\/((-18)\/87). Find the second derivative of 6*j**2 - 6 - b*j - 27*j + 47*j wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 5. Let j(t) = -1. Suppose 2*r - 3 = -b, r - 11*r + 24 = 2*b. Let d(i) = i**2 + 1. What is b*j(u) + q*d(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1757817?\nAnswer: 3, 17, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 148*d**2 + 7*d + 1. Let s(x) = 49*x**2 - 3*x + 195. Let p(g) = 49*g**2 - 4*g + 234. Let r(y) = 5*p(y) - 6*s(y). Determine 2*k(h) + 7*r(h).\nAnswer: -47*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f + 1. Let a(o) = 4*o + 1. Give -3*a(c) + 2*t(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 - 64*a - 47. Calculate the remainder when (-2)\/4 - 190\/(-4) is divided by j(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxtttxtxt. What is prob of sequence xtt?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:14 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -10.2.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {p: 5, b: 3, j: 7, l: 1}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95018887.\nAnswer: 95018887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 1020874*y**2 - 130274496782*y - 390814302534.\nAnswer: -2*(y + 3)*(y + 255217)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1086 + -592. Is 64 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 9. Let n be (-2*2 - h) + 1. Solve -3*o = 3*u + 28 - 10, n = 4*u - o + 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*s - 4*s. Let w(r) = r**3 - 11*r**2 - 11*r - 19. Let q be w(s). Let c be -3 + q + (-1 - -3). Is c < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8255 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35969681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 300.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -2.565.\nAnswer: 1.2825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 100*f**2 + f + 3. Let g be (-12)\/42 - 2\/(-7). Suppose d + g*d + 3 = 0. Let t be n(d). Round t to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -391 + -2114?\nAnswer: -24a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(91))\/(sqrt(7) + sqrt(7) + sqrt(84)\/sqrt(3)) - (sqrt(1872)*-3 + -2 + sqrt(637))) + -4.\nAnswer: -2 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5\/71456, 2\/9 in descending order.\nAnswer: 2\/9, -5\/71456, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**7)*n)\/(n**(1\/4)\/n*n))\/(n\/(n*n**(-1)))**44 assuming n is positive.\nAnswer: n**(-145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(4\/9)*v*v**(-43)*v*v*v**(-4\/13)\/(v**31*v*v) assuming v is positive.\nAnswer: v**(-8512\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/24 and -91\/5128?\nAnswer: 15384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**5 - 221763*y**4 + 12855402*y**3 - 239332920*y**2 + 1240850400*y + 3545424000 = 0.\nAnswer: -2, 20, 73863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1476 = 21*r - 204. Suppose -11*t + 31*t - r = 0. Suppose -4*g + 8 = -2*g. Solve 4*h + g + t = 2*i, i = h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 453 (b) -14 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 14 = 2*w, -4*o + w + w = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/8 + (-1)\/2. Let v be 2 - (l\/(-2) + -1). Solve 0 = o + v*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -48. Suppose 3*w + 2*w = -3*g + t, g - 1 = w. Suppose -5*z - w*c + 1071 = 0, c - 1073 = -5*z - 3*c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 3*f**2 + 2. Let m be c(-3). Calculate the remainder when 4\/(-3)*(-3)\/m is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -66. Factor -3*w**3 - 7*w**b - 9*w**2 + 7*w**4 - 13*w**3 - 11*w**4.\nAnswer: -4*w**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -11. Let x(o) = 6*o - 4 - 6*o**2 + 5 - b*o + o**3. What are the prime factors of x(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1390311ug?\nAnswer: 0.0000001390311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 3*q**2 + 0*q**2 + (0*q - 3*q + 2*q)*(0*q + q - 2*q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**4 - 2092*l**3 + 635160*l**2 - 44036496*l = 0.\nAnswer: 0, 98, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - q**2 - q + 34*q**3 - 33*q**3 - q**2 - 3*q**2 to y*q + u*q**3 + d + j*q**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13825, -27649, -41473, -55297?\nAnswer: -69121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*0.03.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*b - 7, 0 = 4*z - b - 9 - 7. Let u be (-48)\/(-20) - 2\/z. Solve -u*d + 9 = 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526 = -10*i + 14. Calculate the smallest common multiple of 36 and i.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597043.2kg to grams.\nAnswer: 597043200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74779381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 41 = 8*g - t, -2*g + 4*t = 44 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 0 - (2 - 2). Suppose 0 = -h - u*h + 133. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 5*p - 77, 4 = p - 0*p. Let m = -86 + 124. Calculate the greatest common divisor of n and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14316 + -14330. Let r(x) = x**3 + 13*x**2 - 14*x - 10. Determine r(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -4. Let r = -1.5 + 1.5. Let z = -2.6 + 3. Sort u, r, z, 5 in increasing order.\nAnswer: u, r, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 11, 1853, 3 in decreasing order.\nAnswer: 1853, 21, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-6) + 2)*(-38 + 38). Solve 15*k - 4*k - 22 = o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and 0.42.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l - 2*g, -l + 3*g + 5 = 0. Suppose -8*h + 3*h = -5*p + 740, -4*p = -l*h - 298. Is (-1)\/(-4) - h\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c - 61 + 20*c + 38. Let d be y(23). Suppose 5*a - 2*u - d = 0, 2*u + 86 + 44 = a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12 - (-11)\/66)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 94812086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (15 + -8) - -6) + -6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 200 = 5*c, 5*q - 79 = 4*c - 275. What is the remainder when c is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4707 - 5?\nAnswer: -4713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17930124 + 53790362 - y - 17930119 - 17930119.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6668160 and 42240?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 924 - 875. What is the smallest value in c, 0.5, 6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 0*i**2 - 495 - i**2 - i**2.\nAnswer: -5*i**2 - 495","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7941975*h**3*j**4 + 2*h**3*j**3 - 3*h**3*j - 5*h**2*j - h**2 - 3*h*j - 4*h - 944 wrt j?\nAnswer: 95303700*h**3*j**2 + 12*h**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 34364*v - 137453. What is b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 31710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 11*m**2 - m - 15. Let d be o(11). Is 3 a factor of (-4)\/(-10) - d\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) -110 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:56 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 23 = -5*a, 0*a - 3*b = 2*a - 12. Suppose -12*u = -15*u + a. What is the closest to u in 5, 0, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 - 1 + 1 + (-4*g + g - 4*g)*(0 + 0 - g))*(-1 + 0 - 1 + (0 + 1 + 1)*(0 - 4 + 2)) to the form l*g + c + b*g**2 and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 9*h - c + 16, -32 = -2*h + c. What is the highest common divisor of h and 3728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5483 (base 9) to base 10.\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 68 = -22*i + 40. Suppose -5*d = -j + 19, -11 + 30 = j + 2*d. Calculate the least common multiple of j and i.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**8\/112 + n**5\/60 - n**2 + 5*n. Let w(l) be the first derivative of r(l). Find the third derivative of w(k) wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -373*l - 384*l - 5817*l**3 + 231*l wrt l?\nAnswer: -34902*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 - t**2 + 5*t**2)*(5 + 10 + 1) + (-7*t + 2*t - 3*t)*(5*t + 0*t - 3*t) to m*t**2 + n*t + r and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1089*p**2 - 8*p + 2897. Let s(l) = l**2 - l + 17. Let b(h) = -18*s(h) + 2*x(h). Find the first derivative of b(u) wrt u.\nAnswer: 4320*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -237 + 262. Suppose 5003 = h*q - 1847. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1303 + 628 + 570)*(-3 - 3 + 5)*(2 + b - 2).\nAnswer: 105*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 4*y + 2*p + 8, 0 = 3*y - 4*p + 4. Suppose y*z + 0*x + x = 269, z + 4*x - 86 = 0. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-564)*(-240)\/(-5700)*-38?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1225960 divided by 2.\nAnswer: -612980","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 78*j - 1149. Let p be d(15). Solve 7 = 14*y - p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91112 - -49?\nAnswer: 48.08888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from ffivvzvvti.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*v**3 - 338*v + 0*v**3 + 8*v**3)*(-v + 3*v - v) in the form w*v**3 + t*v**4 + l*v**2 + h*v + m and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.056 + -0.056. Let o = 8.56 + -10.56. What is the nearest to -0.2 in -2\/5, 1, o, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*f**4 + f**3 - 12*f + 29*f - f**3 wrt f.\nAnswer: 204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 12*i**2 + 14*i + 12. What is the remainder when l(-10) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 5*a - 1288 = 0, -2*a - 1610 = 5*n. Calculate the remainder when (6\/(-18))\/((-17)\/2703) is divided by n\/(-12) + (-4)\/(-24).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o, -5*o - 20 = -5*q + q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 292*v**2 - 6*v + 5. Is d(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 622412, 1244821, 1867242, 2489681, 3112144, 3734637?\n\"Answer: d**3 + 622402*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 271*d**3 - 4*d**2 - 2*d + 1. Let b be n(-1). Let j = -269 - b. Solve 0 = j*w - 18 + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d\/d**(-1\/8))\/d*d*d*d**(1\/3)*d*d**(-1\/4)*d**(2\/21) assuming d is positive.\nAnswer: d**(241\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4930 - 3584 = 387*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 7}. Give prob of sequence ee.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, -0.25, 2.5, 0.1?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -122319, -242927, -363537, -484149, -604763?\n\"Answer: -r**2 - 120605*r - 1713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/15)\/((-1)\/6). Let y = o - 2. Suppose 0 = y*j + 14 - 36. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**7\/2520 + i**6\/48 + i**5\/4 - 68*i**2. Let t(j) be the third derivative of u(j). Calculate t(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b. Suppose n - 5 = -b*n. Suppose 2 = z + n. Let m(f) = -f**2 + 4. What is m(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/8 in 5, -3, -0.1, 18, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22898 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + k - k**2 + 0*k - 7 - 4 + 3*k**4 in the form h + a*k + o*k**2 + d*k**4 + q*k**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -48, -187, -420, -747, -1168, -1683?\n\"Answer: -47*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -33, -57, -99, -165, -261, -393, -567?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/21 and 34*(-21)\/144 + 3.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + h - 2*h)*(2 - 3 + 3) - 1 - 2*h + 1 - 1 + 1 + 2*h - 109 + 12*h + 109 + h - 3*h + h + (-1 + 3 - 1)*(3*h - 4*h + 0*h) as g*h + o and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 6, 0.3, 1, -1.445?\nAnswer: -1.445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 4:45 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/2 (c) -3 (d) 2\/5 (e) 0 (f) 4\/97\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 26, 2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1746 divided by 32\nAnswer: 873\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0 + 1\/4*o**4 - 11*o + 0*o**3 - 3\/2*o**2. What is the first derivative of b(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/9, 0.027?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1503 > -1502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0367 in 3, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -158, -399, -640, -881, -1122?\n\"Answer: -241*h + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2051.\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 512 = 64. Suppose s + 3*s = 3*q + 278, 4*q + g = 2*s. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - (-1)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -13)\/(-2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1405 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a - 12 = 40*a, -4*m + 45 = -3*a. Solve -3*v + 0*v + 3 = -3*j, -m = -5*v + j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 16) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(432) + 1)) + -3)**2*4.\nAnswer: 352*sqrt(3) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*a*g - 114*a + 8*g wrt g?\nAnswer: 18*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16887.02ml in litres?\nAnswer: 16.88702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031646794 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 3*a**2 + 2*a - 6. Let f be d(-3). Let b = -65 - f. What is the units digit of 80*9*b\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 26427.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 619862695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, 0, 1, 33\/2, -1554 in decreasing order.\nAnswer: 33\/2, 2, 1, 0.3, 0, -1554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4224, -4082, -3930, -3768, -3596, -3414?\n\"Answer: 5*g**2 + 127*g - 4356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.347 to 1 decimal place.\nAnswer: 42.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, d: 2, e: 1}. Give prob of sequence vu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/9)*c**10*(c*c*c*c**(-1))\/(c\/(c*c*c\/c**(-10))) assuming c is positive.\nAnswer: c**(218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*-3 - -3*sqrt(36)*-2)\/(1*sqrt(108)\/(sqrt(18)\/sqrt(2))*2)*1.\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34780 (b) 2\/37 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 7*z**2 + 7*z + 1. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 46112, 93584, 141056, 188528?\n\"Answer: 47472*v - 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**4 + 3481*c**3 - c - 6962*c**3 + 5 - 4*c**2 + 3482*c**3 in the form d*c**4 + a*c**3 + y + n*c**2 + k*c and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011409 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 35. Suppose -l*q = q - 64. Suppose 47 = 7*s - q. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69200 or -69201?\nAnswer: -69200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 8048 = 2*v. Let l = v + -581. Suppose 0 = -5*m + 5*c + l, 5*m + 5*c - 287 = 2*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34996996 and 18608.\nAnswer: 4652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181205 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113801970 divided by 5.\nAnswer: 22760394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i + 4 = 0. Let g(c) = -1. Let v(k) = k**2 + 1. Give i*g(z) - v(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2976*u**2 - 241052*u - 324. What is n(81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-40) - (-1633)\/230. Solve 6*a - o = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010.787nm in micrometers?\nAnswer: 1.010787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/5 + 11578766*w\/5 + 33516955520689\/5.\nAnswer: (w + 5789383)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 0.1 (c) -17 (d) -67 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -679 + 679. Let x(p) be the third derivative of 1\/5*p**5 + 1\/10*p**6 + 0 + 0*p**3 - 7*p**2 + a*p**4 + 0*p. What is the third derivative of x(f) wrt f?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w. Let q(z) = -4*z**3 - 3*z**2 - 9*z - 3. Let f(c) = 7*c**3 + 7*c**2 + 17*c + 6. Let y(i) = -3*f(i) - 5*q(i). Let b be y(-5). Determine v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 17*t**3\/6 - t**2 - 252*t. Determine v(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - 2*w)*(13*w**3 + 37*w**3 + 121*w**3).\nAnswer: 171*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(275)*2*1 - (sqrt(275) - (sqrt(275) + -1 + -2*sqrt(275)))) + 1 + 1 + sqrt(275) + 2)**2)*6*2.\nAnswer: 360*sqrt(11) + 3396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - (-200)\/246. Let t = a - -262\/451. Calculate the common denominator of (-3)\/6 + (-21)\/8 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 k when three letters picked without replacement from {p: 13, k: 6}?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 292519, 292521, 292523, 292525?\n\"Answer: 2*z + 292517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - y + 4. Let r(p) = p + 1. Determine -q(b) + 3*r(b).\nAnswer: -2*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4264753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110010 (base 2) in base 9?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -349 - -344. Let q be 2\/(-2)*11\/1. Let x = 7 + q. Sort 1, x, g, 5 in ascending order.\nAnswer: g, x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/3*7\/(-70)*-15. Suppose 5*q - 1164 = -3*t - 409, -302 = -2*q + p*t. What are the prime factors of q?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 4*j**2 + 14*j + 13. Let k be w(-7). What is the highest common divisor of 31 and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**4\/4 - 23*h**3\/3 + 25*h**2 + 200*h - 6298. Factor j(k).\nAnswer: (k - 20)*(k - 5)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23931 is divided by 11965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.3 + -17. Which is the third smallest value? (a) 0.1 (b) -0.05 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40422842.\nAnswer: 2, 19, 67, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-20))\/(-1) - (-169)\/390?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c**(-1\/2)*c))*c**(7\/5)*(c**(-2\/7)\/c*c)**(-13\/3) assuming c is positive.\nAnswer: c**(659\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -11*v + 949. What is p(87)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 11*o**2 - 21*o + 6. Let k be i(7). Let j(t) = -k*t - t**2 - 13 + 50*t - 3*t**2. Let z(u) = 2*u**2 + 2*u + 6. What is 6*j(p) + 13*z(p)?\nAnswer: 2*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*a - 1480 = -173*a + 1226 + 1494 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w**2 - w - 1. Let u be t(-1). Suppose c - h = -11, -4*h + 0*h - u = 4*c. Let k be (-16)\/c - 8\/28. Is k at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**3 + 15*w**3 + 3*w**3.\nAnswer: 29*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -577 + 574. Let k(q) = 3*q. Let r(p) = p. Give w*k(b) + 7*r(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - 9) + 0 - (11 + -37).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -259*d**3 - 16589469*d**2 - 265647215136*d - 1025664676 = 0.\nAnswer: -32026, -1\/259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 f, and 1 k when three letters picked without replacement from inofkfkiofnoonio.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -21. Let m = -26 + h. What is the units digit of (m\/(-10))\/(2\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71631 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -317 + 316.99731. What is d rounded to 4 decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert fe (base 16) to base 10.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -24. Suppose 5 = -5*u + n. Suppose -7*v = -u*v. Solve -5*y - 10 + 30 = v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -19\/1011 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19298, -38571, -57844, -77117, -96390, -115663?\n\"Answer: -19273*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 - 8*v - 4. What is the remainder when -2*(4 - 156\/8) is divided by k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 1. Let d(s) = -4*s - 219. Give d(o(t)).\nAnswer: -4*t**2 - 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = j. Let u = 1 + -1. Solve -j*r - r = u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4631 rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/13 (b) -1\/3 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjjhkkutsukj. What is prob of sequence sjuh?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4297200?\nAnswer: 2, 3, 5, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 77*b**2 - 740*b + 618. What is x(66)?\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s = -26 - 49 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**7\/7 - 5*o**3\/3 - 4. What is the third derivative of i(h) wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 2\/5 (b) -1.9 (c) 0.5 (d) -1\/11 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 5*g - 6*g + 23*g - g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23112000 rounded to the nearest one hundred thousand?\nAnswer: -23100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2062 * 0.1.\nAnswer: -206.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3083, 8780, 17091, 28016?\n\"Answer: 1307*c**2 + 1776*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.2 (b) 26500 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/10 in -6, 0.1, 2, 7\/39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(-69))\/(14\/72)*21\/(-33)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/31725 and -67\/57105.\nAnswer: 285525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {o: 4, b: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 130250820 divided by -1029\nAnswer: -126580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18744.066 months?\nAnswer: 156.20055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/2, -5, -7, -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3151683 is divided by 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3\/5 - 12\/5*d**2 - 3*d = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, -1, 5\/19 in descending order.\nAnswer: 0.3, 5\/19, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/1536961523?\nAnswer: 1\/1536961523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**5\/5 + 2*s**4 + 66*s**3\/5 + 62*s**2\/5 - 64*s\/5 - 72\/5 = 0.\nAnswer: -2, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 8*i - 30. Suppose -5211 + 726 = -13*f. What is the highest common divisor of i and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*y + 6*q - 2*q + 13 = 149*y, -3*q + 9 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/6 and (-3381)\/(-71530) - (1 - 16\/20)?\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 6*l + 2*l + 2*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 + 4*p**3 - 2*p**2 + 0*p - p + (0*p**3 + 0*p**3 + 2*p**3)*(0 + 2 - 1)*(96 + 11 - 7) as s*p**2 + c*p + w + a*p**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -5.173809354095\nAnswer: -7.173809354095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*(sqrt(24) + sqrt(24) + sqrt(24)*-3))\/(sqrt(12) + 5*(sqrt(108) + sqrt(12)) - sqrt(12)))**2 + 5.\nAnswer: 2001\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2)*13*8\/(-832).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 28*y = 63*y - 2*j - 102, 4*y = j + 39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195)\/(-117)*(-36)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 4037?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43, -25, 19, 101, 233?\n\"Answer: 2*p**3 + p**2 + p - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 4, -41 in ascending order.\nAnswer: -41, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -0.012781.\nAnswer: 0.987219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cko when three letters picked without replacement from {o: 1, k: 1, a: 1, c: 1, d: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049978871 to 5 decimal places.\nAnswer: -0.04998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 1. Let y be g(-4). Suppose -y*b + 342 = -b. Suppose 4*p = -b - 29. Round p to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:42 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1323)\/(-98))\/(((-3)\/(-8))\/((-102)\/136))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 957 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.97 + -0.03. Let k = -3 - g. Sort 0, 5\/3, k in descending order.\nAnswer: 5\/3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 6*x)*(0 - 1 - 1) + 4*x - 4*x + 2*x + (-3 + 2*x + 3)*(-6 + 0 + 1) + 0*x - x + 6*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 316*o + 2040.\nAnswer: -4*(o - 85)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 1. Let q(h) = 11*h**2 + 3*h + 11. Let z(y) = q(y) - 6*x(y). Suppose 0 = -t - 3 + 4, -3*l - 5*t + 71 = 0. Let u = 26 - l. Give z(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.41 in -3, 0.2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5\/8 - 1721*u**4\/8 + 50983*u**3 + 51198*u**2 = 0.\nAnswer: -1932, -1, 0, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2 + 8*n - 5 + 2*n**2 + 2 - 2. Let r be y(6). Suppose 0 = 3*p - 3*h - h - 80, r = 4*p + h. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 + 1.2. Let t be (-1)\/4 + (-65)\/(-20). What is the nearest to c in t, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 0.1, 0.5, 2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12077, 48187, 108367, 192611, 300913, 433267?\nAnswer: 589667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(8))**2 + 3).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - -3252043?\nAnswer: 3252122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*y + 31 = 0, -5*y + 48 - 58 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 833852 * -0.5.\nAnswer: -416926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 21*l + 408. What is u(-16)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3434.1491 - 3434. What is q rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 + 66*t\/13.\nAnswer: 2*t*(t + 33)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -132*k + 9080 + 6232. Which is greater: 140 or k?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-64)\/(-12))\/(4\/6). Suppose -23 = -h*i + 9. Solve -a + o + 6 = -4*a, i*a - 4*o = 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 5. Let m be c(-5). Suppose -r - r - 2 = m. Let p = -2\/23 - -31\/92. Is p bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 3:40 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 0*g - 4\/3*g**3 - 1 - g**2. Factor x(w).\nAnswer: -2*w*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -1\/2*j**2 + 5 + 3*j. Let u(l) = -l**3 - 5*l**2 - 6*l - 3. Let g be u(-4). What is o(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1472 + 764. Let n = -151 - l. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 16493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and (-62)\/217 - 2552\/(-14)?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4. Let l = -16 - -23. Let f = l + -5. Put f, d, 1 in descending order.\nAnswer: f, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -254224 divided by -4\nAnswer: 63556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, -7, -98 in decreasing order.\nAnswer: -7, -98, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478916.5 litres to millilitres.\nAnswer: 478916500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1202784458 to the nearest integer?\nAnswer: 34681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01494 and 175373.\nAnswer: 175373.01494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 15) to base 13.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 178, 721, 1628, 2899, 4534, 6533, 8896?\n\"Answer: 182*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 27*d**2 - 7*d + 7. Let v(h) = -h**3 + 14*h**2 + 3*h - 3. Calculate 3*b(j) + 7*v(j).\nAnswer: -j**3 + 17*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Let u = 0.2733 - -0.1267. Which is the nearest to x? (a) 1 (b) 2\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4*y + 8165*c**4 + 12*y - 256 wrt c?\nAnswer: -8*c**3*y + 32660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 344 - 1697. Suppose 45 + b = 2*n. What is the remainder when n is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27702 - -5?\nAnswer: 27707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and (-1)\/(2 - (-39)\/(-18))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/2 - 133*g**3\/4 - 645*g**2\/4 + 421*g\/4 + 355\/4 = 0.\nAnswer: -5, -1\/2, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 58. Let p be (2 - z) + 6 + (-4 - -2). Suppose i - 9 = -2*i. Solve 4*o - p = i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 + 82.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 116 - 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -38. Let n = v + -23.04. Let r = -0.1 + 0. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w**(-11))))\/w)\/w)\/(w**(-1\/2)\/w*w)*(w**(-3))**(-45) assuming w is positive.\nAnswer: w**(247\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 69*o + 10026 = 66*o, 12 = 4*o. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 8:10 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -5237\nAnswer: -8\/5237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 584*s**3 - 15*s**3 - 4*s + 5*s - 1 to the form m + w*s + t*s**3 + u*s**2 and give t.\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*1*(-1 + sqrt(7)) - ((sqrt(343)*-2 - sqrt(343)) + sqrt(343) + 4)))**2.\nAnswer: -3600*sqrt(7) + 26100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2697 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 16812 (b) 2 (c) 0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 15) to base 16.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-2))\/9 + (19239\/(-1080))\/11 and -63\/472.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -298.881 + 299. Let g = h + -0.019. Which is the third smallest value? (a) g (b) -0.4 (c) 1\/5 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:06 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (112\/(-2))\/(-4). Let m be (l\/(-6))\/(202\/62484). Let g = 928 + m. Is g less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(5 - 2 - 1)*(0 + 2 - 4)*(9*r - 23 + 23) + (r - 2*r + 3*r)*(1 + 0 + 1) - 9 - 7*r + 9 to the form c*r + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let t be z\/(-14)*(-8)\/6. What is the second biggest value in -3, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4609693\/180 - -25609. Find the common denominator of c and 5\/252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10245.4 less than 0.2?\nAnswer: -10245.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57211697?\nAnswer: 57211697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47726 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2035*f**3 + 2*f. Let z(a) = -1020*a**3 - a. What is -2*d(h) - 5*z(h)?\nAnswer: 1030*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*f + 16472 - 4604 = -177*f - 49824 for f.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43031 + -739?\nAnswer: -43770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + 359*x + 2605. Determine u(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(sqrt(1900)*1 + -4).\nAnswer: -4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.49? (a) -1.9 (b) -3 (c) 0 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(((-3549)\/(-65))\/39).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/18 and (-118*2\/(-16))\/(27\/12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*20 - (-7 + 5). Suppose g + 5*h = 14 + 9, 2*g + 4*h = x. Solve -d + 1 = -2*c + c, -3*c - g*d - 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 756 - 423. Let y = 328 - p. Which is smaller: 24 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:02 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -798 (b) -0.7 (c) -121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 13047 and 13044 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -3\/5 (c) 5 (d) 10 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) + (-2695280)\/1282785. Let z = 8\/1929 - o. Find the common denominator of z and (170\/28 - -1) + 1.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14116*q**3 + 23537*q**3 - 343*q**3.\nAnswer: 37310*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3. Suppose z + 21 = -i*r, -3*z + 22 = -r - r. Suppose 0 = -2*y - 3 + 7. Solve 0 = y*p + z, -n + 4*p = -p - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5567057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/20? (a) -4 (b) -4\/3 (c) -0.3 (d) 0.14 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.76 + -0.24. Let n = k - -49.7. Is n at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -691.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109586 and 2198.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 36 = -5*l. Suppose -r - r + l = 0. Suppose -2*t + r*t = 64. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*m + 3 = 0, 3*m = 4*f - 2*m + 5. Suppose 161 = -110*s - 169. Which is the closest to s? (a) f (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 22, -0.06, 0.064?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*k*q**2 - 2*b**2*k - 83*b**2*o*q**2 - b**2*q**2 + 12*b*k*o wrt k.\nAnswer: -b**2*q**2 - 2*b**2 + 12*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 407434, 407638, 407980, 408460?\n\"Answer: 69*w**2 - 3*w + 407368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04083*-2\nAnswer: 0.08166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4061, -8121, -12177, -16229, -20277, -24321?\nAnswer: -28361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390411.\nAnswer: 2390411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2675355 and 885?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*f**2*x - 4*f**2 - 7*f*g**2 + 3036*g**2*x - 219*g**2 - 3 wrt x.\nAnswer: -22*f**2 + 3036*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3\/112, 2\/11, -1\/4, 2 in descending order.\nAnswer: 2, 2\/5, 2\/11, 3\/112, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((-2 + sqrt(171)*-1 + sqrt(171))*-6 - (-2*sqrt(171) + -2 + 1))*5 + 5))**2.\nAnswer: 151200*sqrt(19) + 792000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 41?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -3*q**4\/4 - 6*q - 7. What is the derivative of n(i) wrt i?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 682, 668, 618, 514, 338, 72, -302, -802?\nAnswer: -1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*z - 56375 = 0, 2*u + 11150 = 4*z + 39370. What is the greatest common factor of u and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/39372 and 139\/3045540.\nAnswer: 51774180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/((-6)\/4))\/(54\/(-8829)).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2055912)\/21 + 16\/28. Round c to the nearest 1000.\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 6*d**2 + d**3 + 14 + 10 + 12 - 2*d**4 - 37 in the form n*d**2 + y + g*d**3 + c*d**4 + a*d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7250 or -7256?\nAnswer: -7256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30967 and 67662?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1416 - -1433. Solve 0 = 7*p - q*p - 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000130334 rounded to 7 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from {v: 11, d: 1, h: 3}.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let f be (-34)\/(-4) - l\/4. Suppose f = 5*p - 1. Solve -8 = h - 2*d, 0 = -p*h - 3*d - 2*d + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70726?\nAnswer: 2, 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4980*n**5 - 83024*n**4 + 270980*n**3 + 98296*n**2 - 480*n = 0.\nAnswer: -1\/3, 0, 2\/415, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-200) - (-158)\/(-216)\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/6)\/((-3)\/(-4)). Let t(u) = -76*u - 834. Let f be t(-11). What is z in -24 - 7*z**2 + 9 + b*z**f - 20*z = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 7*q**2 - 7*q + 14. Let d be s(-16). Calculate the greatest common factor of d and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 2}. What is prob of picking 1 a and 1 y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/4 + 16*w**4 + 239*w**3\/4 - 19*w**2 - 243*w - 180 = 0. Calculate w.\nAnswer: -60, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3157.7 + 3157.856328. Let q = -0.156 + c. Round q to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:17 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 4822971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from dnyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxlxxxxmlmxxmmll. What is prob of picking 1 l and 1 m?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45, -89, -133, -177, -221, -265?\n\"Answer: -44*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a0a (base 13) to base 11.\nAnswer: -13534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s\/(s**5*s))*s)**16\/(s*s**(-3)*s)**(-1\/33) assuming s is positive.\nAnswer: s**(3695\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 680716486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**3 - 25168*r**2 - 41940480*r - 7283598336 = 0.\nAnswer: -3048, -196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -m + 44, 1904*t - 5*m = 1900*t - 234 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 35 (b) 5.2624 (c) 0.1 (d) 3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 972907016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by 1.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91 by -86184.\nAnswer: 13\/12312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 6*c**2 + 6*c - 7. Let m be j(8). Let d = -89 - m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 4:52 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - ((7 - -29) + -28)) + 155\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134 = -6*g - 57*g. Calculate the lowest common multiple of 94 and g.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26685450 divided by 22.\nAnswer: 1212975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11.12. Let c = -18.88 + j. Let s = -18.99999882 - c. Round s to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -796141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 11, 3, -9, -25?\n\"Answer: -2*y**2 + 2*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/2)*q)**(-39)\/(((q\/(q**(8\/13)\/q*q))\/q)\/q**(-3)))**(36\/11) assuming q is positive.\nAnswer: q**(-46746\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 2*r**7\/21 - r**5\/30 - 5*r**4\/12 + 6029*r**3\/6 - 4*r**2 - 6*r + 3. What is the derivative of z(l) wrt l?\nAnswer: 80*l**3 - 4*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 11*b + 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, k: 1, g: 4, r: 4, t: 4, c: 3}. What is prob of sequence rc?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 - 101. Which is the nearest to 1\/3? (a) 1 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 15 = 5*s - 2*s, 2*x = 3*s + 15. Suppose 8*w = -x*w + 144. Suppose 2*k - 66 = w. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 60 - 29)*(-1 + q + 1).\nAnswer: -71*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + x - 144005, -5*l + 5*x + 719969 = 2*x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 24.8 (b) -1\/5 (c) 5 (d) -4 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - h + 124 - 58 - 57 = 0, -4*c = -h + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.068 - -19.932. Let y = j - 17. Let x = -128\/3 + 42. Which is the nearest to 0.1? (a) 3\/7 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 12 = -3*j, 4*j - k - 6 = 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -52. Calculate the remainder when 58 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 - -335. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11\/384 - -553\/1920. Let i(a) be the third derivative of 0*a + t*a**5 + 3\/4*a**4 + 0*a**3 + 16*a**2 + 0. Find the second derivative of i(v) wrt v.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 21*t + 17. Suppose -4*d - 76 = 3*b, -5*d = -4*d - 3*b + 19. Is p(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/15 (b) -2\/9 (c) 4 (d) -23\/11 (e) 590\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4101424 is divided by 1514.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*j + 11*j + 200. Calculate the remainder when 55 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-12))\/((-2)\/9). Let n be k\/21 + (-38)\/14. Let x be 4\/(6\/n)*-13. What is the highest common factor of x and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3274200 and 643824?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -13. Let a(f) = f - 7. Let m be a(w). Solve -m = -h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-406)\/(-56) + -6 + 4\/((-112)\/(-1029))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 31 = -5*i, 2*i + 0*c = 5*c + 24. Let u(t) = t**3 + 3*t**2 - 1. Let v be u(-1). Suppose -i + v = -3*o. Solve -6 = -o*d + 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 21 = 11*s. Let m = 29 + -15. Suppose 0*r = 2*r + 2*y + 8, -2*y = -4*r + m. Calculate the highest common factor of r and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight thirds of a week?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 300 = -8*p. Calculate the smallest common multiple of p and 35.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.21 (b) -5 (c) -14 (d) -134 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from wdjlp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5 - 169\/(-455).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.059 * 4.\nAnswer: 0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 2*x**2 + 1615*x**3 + 1086*x**3 - 940*x**3 + 1377*x**3.\nAnswer: 3138*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 8, -111, -0.4, -0.7, -4 in descending order.\nAnswer: 8, -2\/19, -0.4, -0.7, -4, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**3 + 6*h + 6. Is 26 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**7\/840 - c**6\/90 + 5*c**4\/24 + c**3 - 6*c. Let h(w) be the second derivative of l(w). Calculate h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91767.241 take away -1645?\nAnswer: 93412.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + 3*d - 3*d)*(-5*d**3 + d**2 - d**2) - d**4 - 1 + 1 + (2 + 1 - 5)*(2*d**4 + 4*d - 4*d) to the form w + m*d**2 + h*d**4 + c*d + k*d**3 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 - 2*i + 2*i + (-5*i + 6*i - 4*i)*(4 - 1 + 0)*(-560 + 560 + 26*i) + (0*i**2 + 3*i**2 - i**2)*(-1 + 0 - 1) + 4*i**2 - 3*i**2 - 2*i**2.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7691, -14610, -21533, -28460, -35391, -42326?\nAnswer: -49265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -65. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413175224 smaller than 413175226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 22749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k - 20 = -2*r, -4*k - 20 = 5*r. Let g = 9 + k. Suppose -2*q - 12 = -g*s + 3*q, 3*q = -5*s - 22. Does -3 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*v**5 - 26*h*v + 195*h + 5*v**5 - 773*v**3 wrt v?\nAnswer: 20*h*v**3 + 100*v**3 - 4638*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001815576611 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4722.\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102120201011 (base 3) to base 11.\nAnswer: 146301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 212.89726651897\nAnswer: 209.89726651897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -7, 41, -3, 0 in decreasing order.\nAnswer: 41, 4, 0, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71\/4 - -35\/2. What is the nearest to 0.52 in -2, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, j: 3, o: 4, f: 2, i: 2, x: 1}. Give prob of sequence jj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.4 - 0.4. Which is bigger: 0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*1*-2*-2)\/(sqrt(72)\/(sqrt(6) - (sqrt(6) + 3*sqrt(54)))).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/24*4 + 1. Solve -v*c - 8 = -6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/15*(-2)\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a5 - 10?\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 17*k - 11*k - 7*k. Let r(n) = n**3 - n**2 + n + 45. Let s be r(0). Let c(g) = 1 - s*g**2 - 3 + 2. Determine c(x(a)).\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 119*t**2 + 6*t + 3. Is 9 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37028274*d + 22*d**3 + 37028274*d.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(60\/9)*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 501\/35 <= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43559 <= 43560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 2 + (-13 - 3 - 27).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(12\/(-4)))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + -1.2. Let h = -2.0002 - x. Round h to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*n - 2*a, 3*a - 27 = -3*n - 36 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -11\/6 (b) 2 (c) -19 (d) 885\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) + 2\/(-4). Let p be w*(-39 + 3 + -1). Let g = p - 12. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -835, 2\/4955, -2\/13, -0.1, -4?\nAnswer: -835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322.74m to nanometers.\nAnswer: 322740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2004\/11 - -182. Is 2\/5 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 17 + 80. Let h be (28\/42)\/(6\/k - -1). Put -3, 4, h, -1 in decreasing order.\nAnswer: 4, h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c. Let a(o) be the third derivative of -11*o**4\/24 + 4*o**2. Calculate v(a(i)).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -557*z - 5570. Let b be u(-10). Solve -1300*r + 1302*r - 14 = b for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -592\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189 - -189. Let z be 113\/678 - -23*(-3)\/252. What is the third biggest value in z, 2, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -2 (b) 7 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/250*(-10)\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + (-2 - 0))\/3. Suppose x + x - 50 = c. Let j = 43 - x. 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 (6 - (-102 + 62)) + -14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 167246205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 81. Let f(t) = -3*t + 122. Calculate -7*b(k) - 5*f(k).\nAnswer: k - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, 0, 1, -6 in descending order.\nAnswer: 20, 4, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 2\/9, -3\/4, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 - (-21)\/9. Let v = 14 + -12. Let q(h) = 7*h**2 + 2*h**v + 2*h**3 - 7*h**2. Let d(o) = -8*o**3 - 9*o**2 + o + 1. Determine r*d(n) + 9*q(n).\nAnswer: 2*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*h + 79, 0 = -79*d + 77*d + 3*h + 109. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 3*p**2 - 3*p + 1. Let k be 6 + (4 - 3)*-4. Calculate a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*n + 151*n - 52 = 0. Solve -2 = n*r + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 12*u**2 - 10*u - 27. Let q be i(13). Suppose -p + 28 = -4*v, -q*p + 10*p + 20 = v. Solve 8 = -4*f - 2*x - p, -2 = -2*f + 5*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 1:02 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 355*j**2 + 161*j**3 - 356*j**2 + 3*j**4 - 153*j**3 + 2*j in the form k*j**4 + b*j**2 + i + w*j + n*j**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -7) + -1 - 0. Suppose 2*u = -t*o - 5 + 26, 0 = 2*o + 4*u - 18. Find the second derivative of -4*s**o + 2*s**4 + 4*s**3 - s wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 8. Let k be l(6). Let d = 150 + -127. Suppose -65 = -2*o - 5*t, -o + d = -3*t - k. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(11) + 5 - (-6*sqrt(99) + 2).\nAnswer: 6 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6263000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2\/11*x + 1\/22*x**4 + 3\/11*x**2 + 2\/11*x**3 + 4. Factor b(h).\nAnswer: 2*(h + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*t + 917 + 115 + 164 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(2\/11))**(1\/7)*(b**(-20)\/b)**(-11))**(-3\/17) assuming b is positive.\nAnswer: b**(-53421\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 43*y - 245. Determine h(-28).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -57) + 64 + 4 + -14 + -2.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:00 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -554, -170014.\nAnswer: -170014, -554, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 - 3 = -d, 0 = -n + 3*d + 10. Solve 0 = o - 1, 4*f + n = -5*o - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 3*o**7\/70 - o**6\/10 - o**5\/4 + o**4\/4 - 3*o**2\/2 + 4. Let d(v) be the second derivative of m(v). Factor d(q).\nAnswer: 3*q*(q - 2)*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*p - 19*p + 0*p)*(-4*p + 0*p + 2*p) + (3 - 3 - 1)*(-p**2 + p**2 + 6*p**2) + p**2 + p**2 - p**2 to f*p**2 + r + o*p and give f.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, g: 3, h: 4, f: 4}. Give prob of picking 1 g, 1 f, and 1 h.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8803867, -17607723, -26411571, -35215411, -44019243, -52823067?\n\"Answer: 4*v**2 - 8803868*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -501 - -139. Let o be 2\/(g\/(-91) - 4). Let t = -50 - o. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 91078121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*f + 0 - 2*f + f + 3*f + 4 + f - 4 + (2 + 0 - 1)*(-f + f + 2*f) + (-2*f + 2*f - 3*f)*(-5 + 4 + 3).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 14 = -4*z, 2*z - 1 - 1 = 4*v. Let u be v\/(-8)*-3*68. Is ((-21)\/9 + 2)*u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.299466 millilitres in litres?\nAnswer: 0.002299466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyky when four letters picked without replacement from kzzzzzzzkykyzzzzyz?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**8\/2520 - o**6\/135 + 37*o**3\/6 + o**2\/2 - 36*o + 2. Let a(w) be the second derivative of f(w). Factor a(j).\nAnswer: 2*j**2*(j - 2)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221*f + 4 = -1226*f - 2*h, 3*h = 5*f - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 0*q**2 + q**2 + (2*q**2 - 2*q**2 - q**2)*(1 - 1 + 1) + (-6*q + 2*q + q)*(3*q - 6*q + 2*q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x - 3*x)*(4 - 1 - 1) - 341*x + 634*x - 164*x.\nAnswer: 127*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*j**2 - 15 + 27*j**2 + 39*j**2.\nAnswer: -j**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2979219 and -3007.\nAnswer: -2982226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-9)*(-2)\/((-544)\/(-3)). Let w = i - 29\/136. Which is the smallest value? (a) 1\/3 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -156*t + 2293. Calculate l(13).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 10*a - 20. Let w be c(7). Let g be (-4)\/(-170)*(w - 6). Is g at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2115172 and -55\/275892.\nAnswer: 6345516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-27))\/((-468)\/81 - -4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1784101*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 29 = s, m = -5*s + 6 - 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 3*o**2 - 2*o**2)*(278*o - 278*o + 6*o**2) - 3*o**4 - 1 + 1.\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46409300*j**4 + 13154982*j**2 + 2 wrt j.\nAnswer: -1113823200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, r: 10}. Give prob of picking 2 u and 2 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -172.126?\nAnswer: -86.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(52\/(-65))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6421 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 8:17 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 3 + 3)*(7*u**2 + 204*u + 11 + 214*u - 421*u) in the form q*u + a*u**3 + b + n*u**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 54*z - 541. Calculate c(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 44*z - 21995 + 21995 + 44*z + 4*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2651919*n + 1657375?\nAnswer: 2651919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6199090916441\/18487 - 335321627. Let u = -2\/973 + x. Let t = -6 + 1. Sort t, u, -2 in decreasing order.\nAnswer: u, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfdddhbdbbhhbhbddh. What is prob of sequence dhfh?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194873995 to the power of 1\/3, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -8. Let k be 4*10\/4 - -1. Let f = c + k. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33164, -33185, -33206, -33227, -33248, -33269?\n\"Answer: -21*d - 33143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16 = -s, -z + 29 + 2 = -4*s. Calculate the greatest common factor of 44 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 11*r**2 + 21*r + 16. Let s(g) = -3*g**3 - 17*g**2 - 32*g - 24. Let y(t) = -7*d(t) - 5*s(t). Let l be y(-6). Solve -2*o - 4 = l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54.125 - 0.125. Let k = -76 + z. Let g = k + 21.9999835. What is g rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2833067 is divided by 312?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r + 20. Suppose 0 = 2*i - r*v + 12, 3*v - 15 = i - 2*v. Find the second derivative of -n**4 + n - 3*n + 3*n + i*n wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 59. Let g(w) be the second derivative of -2\/3*w**3 + 0 - 5*w - w**2. What is g(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j + 22*j**3 + 1 - 1.\nAnswer: 22*j**3 - 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 1311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 5*o**2 - o + 1. Let l be i(-5). Let g be 4\/(-10) - 47\/(-5). Suppose l*d - g = 3*d. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - 85. Solve -q = 2*b - 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82335 - -137761. Suppose 31382 = 8*l - p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**0*s**(-1\/7)*s*s*s*s*((s\/((s\/s**(-8))\/s)*s)\/s)\/(s*s**(-8)\/s) assuming s is positive.\nAnswer: s**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -29*d**3\/3 - 197. Let v(s) = -s - 2*s + 2*s. Determine z(v(u)).\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from ipfol.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070448477 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - q + 5. Suppose -4*h - 16 = -2*d, -3*d - h + 2 = -8. Determine r(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -679 by 20.\nAnswer: -679\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3155309 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 36 = 5*x. Solve -3*d - x = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67.54529 litres?\nAnswer: 67545.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533349 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-555)\/45)\/((-5)\/(-45))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 2*y + 108 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443*n - 122*n + 48*n**2 - 574*n**2 - 148*n**2 + 226*n wrt n?\nAnswer: -1348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25418648 and -0.3.\nAnswer: 7625594.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 519 + 278. Let o = -787 + d. Calculate the highest common factor of o and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 3*u - 1. Let r be l(2). Suppose a + q = -4*a + 18, -5*a = 2*q - r. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/588924 and -52\/399.\nAnswer: 588924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112101110 + -122?\nAnswer: 112100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/35066640 and -103\/5510472.\nAnswer: 385733040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y**3 + 3*y**2 - 6*y + 2. Let f(b) = -10*b**3 + 2*b**2 - 5*b + 1. Let p(r) = 4*f(r) - 3*i(r). What is the remainder when 21 is divided by p(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47832 = 4*d + 20*z - 22*z, 6 = 3*z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 13 - 11 - z)*(-5*z**3 - 14*z**3 - 12*z**3) + (-z + z - 2*z)*(5*z**3 + 3*z**3 - 3*z**3).\nAnswer: 21*z**4 + 31*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*u**2)*(-5*u + u - 2*u) - u**3 + u**3 - 3*u**3 in the form w + r*u**2 + m*u + k*u**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*d**2 + 5\/3*d + 2.\nAnswer: (d + 2)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 971917, 3887796, 8747643, 15551464, 24299265?\nAnswer: 34991052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(143)\/(sqrt(44)\/sqrt(4)))*-1 + (sqrt(1300)*-2)**2 + (sqrt(13) + -1)*-3 + sqrt(13).\nAnswer: -3*sqrt(13) + 5198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.73 - -1.03. Let h = o + -0.3. Let k = 1 + 1. Which is the closest to 2? (a) 0 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -25.16. Let m = -1 - g. Let a = m + -0.112. What is a rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.14, 1\/4, 1\/11, 41\/5, 0.5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/567 and 109\/396144.\nAnswer: 1188432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 21056 = -4*p. Suppose -8*j + 4732 - p = 0. List the prime factors of j.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3\/((6\/260)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82804.35l?\nAnswer: 82804350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 2, r: 3, a: 1}. Give prob of picking 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-7) - 312\/(-224)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*q - 5*z, -2*q = -2*z + 3 + 3. Differentiate -24*t**4 - 215 - t**q + t**2 + 200 with respect to t.\nAnswer: -96*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -76\/9, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 987*i**3 - 40*i**5 - 987*i**3 + (1 - 1 - i**3)*((0 + 3 - 1)*(4*i**2 - 4 + 4) - 3*i**2 + 6*i**2 - 5*i**2).\nAnswer: -46*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1616 + 1.09. Let k = -1916.29 + 1974.2616. Let b = q + k. What is b rounded to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 - 96. Let d(h) = 4*h + 14. Let v(c) = -3*c - 9. Let q(n) = 5*d(n) + 8*v(n). Determine q(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0 + 0)*(-z - 3 + 3) - 172*z**2 - z**3 + 172*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 108 and 111 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*(-332)\/(-900) - ((-4)\/3)\/(4\/(-30))?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12 + 0 - 3*u + 20 + 4*u. What is q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -54*o**2 + 0*o**3 + 0*o + 0*o**4 + 0 - 1\/15*o**5. Let x(y) be the third derivative of y**4\/12 + y**2. Give r(x(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/20? (a) 0.5 (b) 2\/13 (c) 16 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 387.5 + -388. What is the closest to 1\/6 in -5, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - i + 5. Determine l(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 74*m = -78*m - 33431, -3*m = 4*j - 133686. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l - 45*l + 142*l + 74*l + 107*l.\nAnswer: 247*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/13984 and -167\/252?\nAnswer: 880992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25 from 366.\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 69 - 99. Calculate the common denominator of (-1755)\/o + (-4)\/(-14) and -47\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:35 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1055, -1059, -1063, -1067, -1071?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244281*t**2 + 5*t - 2*t - 2*t + 244293*t**2.\nAnswer: 12*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 0*p + 2*p = 4, 16 = 4*i + 4*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*h - 185*h = -t, 9*t = -h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67\/1251032 or 1?\nAnswer: -67\/1251032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 60. Let h = -0.2 - -0.4. What is the nearest to 4 in h, t, -1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(13\/3)*p)\/(p**(-13)\/p*p*p))\/(p\/p**(-1\/3))**(1\/3) assuming p is positive.\nAnswer: p**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 c when four letters picked without replacement from wuwffcwcfcwczfwc?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -78.\nAnswer: 40\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m. Suppose -2*b - 3*b + 15 = 0. Suppose b*q + 3 = 9. Let z(k) = 0*k**2 + 3*k + 3*k**q - 3*k. What is r(z(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310179 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minus -1563?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 3\/31, -0.08, 2, 1, -3 in decreasing order.\nAnswer: 2, 1, 3\/31, -0.08, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 938 + 329 = v - 4*s, -2*v + 2522 = -2*s. Calculate the remainder when v is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205814887?\nAnswer: 205814887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 15*b**2 - 61169*b - 978441. Determine w(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174.9 - -177.9. What is the second biggest value in 2\/3, j, 52, -1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + l - 1 = -5*m, -m - 5*l = -6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 29*t**3 + t**2 - 2*t. List the prime factors of m(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccppcpcccccccp?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2566 or 1?\nAnswer: 1\/2566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6) - sqrt(480)\/sqrt(5)) - (-4 + (sqrt(2) - sqrt(18)) - 2*(sqrt(2) + -1)).\nAnswer: 2 + 11*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 465*m + 1838. Calculate w(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5808 - -695. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -3. Let t = -2.0061 - h. What is t rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(0*q**4 - 8*q**4 - 2*q**4) + 21*q**4 - 3*q**4 + 0*q**4.\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1363\/10*2 - 62\/(-155)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8684 + 26497. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1*2\/2. Which is the third smallest value? (a) 27 (b) -22\/7 (c) u (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 14*b**2 - b + 28. Let r = 2 - -1. Suppose -52 = -4*t - 0*y + y, 4*y = r*t - 26. Let x be a(t). What is the highest common factor of x and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113865217 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31155, 62099, 92999, 123861, 154691?\n\"Answer: x**3 - 28*x**2 + 31021*x + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (sqrt(72) - (sqrt(72) + 2)*3) + sqrt(72))**2 + (5 + -1 + 1 + sqrt(72) + sqrt(72) + sqrt(72))*3.\nAnswer: 359 + 294*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32114422 to the nearest integer?\nAnswer: 5667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*a**3 + 25*a**3 + 28*a**3 - 4 + 19*a**3 + 4*a**3.\nAnswer: 15*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-6))\/(-5)*-8. Suppose 2*a - 6*a = -s. Let k be 2 - (a - -1 - 3). Solve 0 = l + 2*d + 11, 5*d - 2*d - k = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -9 in ascending order.\nAnswer: -9, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2798 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83, -278, -693, -1430, -2591, -4278?\n\"Answer: -17*o**3 - 8*o**2 - 52*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r - 143 = 10*r - 3*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 - 2*b - 8. Suppose d + 12 = -2*z, 4*z = 4*d - 3*d - 24. Let s be k(z). Suppose -144 = p - s*p. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + (-3 - -4) - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**15)**(-47) assuming b is positive.\nAnswer: b**(-752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -134 - -37868\nAnswer: 37734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6393*x**3 - 92 + 30 + 29 - 6391*x**3 + 33.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from hnvoqhq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o + 1. Let d(f) = 3*f**3 + f**2 - f - 3. Determine -2*d(a) - 6*l(a).\nAnswer: -12*a**3 - 2*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4253 is divided by 498?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-511)\/(70\/(-10)) + 5\/1. Calculate the greatest common divisor of w and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33256378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 8*p**2 - 9*p - 24. Let x be o(-8). Let s be x\/(-84) + ((-25)\/(-7) - 0). Solve k = 2*q - 3*q, -s*k - 2*q = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8dd + -2?\nAnswer: 8db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 4*v - 7*v + 3*b, -5 = 5*b. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5507228 by 10841.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2364, -0.4 in decreasing order.\nAnswer: 2364, 5, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 156 or 8941074?\nAnswer: 8941074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79516 is divided by 355?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1875 + 2521. Calculate the remainder when y is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 289*l**2 + 0*l - l - 272*l**2.\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 10:53 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from qjjujqe.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*u + 3842 = 6, 5*b = u + 4817. What is the greatest common divisor of 35 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/7 + 39*k**2\/7 - 120*k\/7 + 108\/7.\nAnswer: -3*(k - 9)*(k - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*f = -4*p + 15, -4*p - 2*f = -14. Suppose -2*o = 5*v - 6, -p*o + 6 + 3 = 2*v. Solve c + 0*c + 6*c = v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106551370 is divided by 130?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 + 7*d. Let w(a) = a**2 - a. Let n(g) = 5*p(g) + 35*w(g). Let b = -6 + 9. Let y(m) = 2*m + b*m + 3*m - 5*m. Calculate n(y(s)).\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336618 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/u**0)\/(u**9\/(u*u**(-18)*u)) assuming u is positive.\nAnswer: u**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59578605, -59578607, -59578611, -59578617, -59578625, -59578635?\n\"Answer: -u**2 + u - 59578605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11193\/(-2583) + 5\/(-3) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. List the prime factors of (1\/(-3))\/(q\/81).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 164597 + -5?\nAnswer: 164592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 15*p. Let j be 15\/(1*(-3 - -4)). Let q be o(j). Solve -s - 5*i + 15 = q, 0 = 2*s - 3*s + i - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 1. Let b be k(4). Let c = 45 - b. Let u = -19 - -39. What is the highest common factor of u and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-5)\/w))\/(w**(-3\/5)\/w*w)*(w**1)**3)\/((w*w**(2\/7)*w)**41\/(w**(1\/3)*w)**(-35)) assuming w is positive.\nAnswer: w**(-13627\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -23. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -254 and 147316.64746.\nAnswer: 147062.64746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 2*o**2 + o. Let d(h) = -650*h**3 + 8*h**2 + 4*h - 1. Determine -4*b(m) + d(m).\nAnswer: -654*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q**3 + 175*q**3 + 46*q**3.\nAnswer: 254*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**3 - 508 + 15778*a - 31537*a + 508 + 15759*a.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 144519*c - 144514*c + 2*c**2 - 47 + 289033*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*w - 168*w + 932 = 0. Suppose 0 = -2*o - 5*r - 17, 2*o - r = 4 - 3. What is the biggest value in -0.09, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-1 - -4 - 3). Let l = b - -12. Let a be l - (0 + -1 + 4). Solve -s = 2*r + a, -s = 3*s - 5*r - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2\/((-5)\/60*2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) - sqrt(168)*-1*-1)\/sqrt(8))\/(sqrt(432)*6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 u when three letters picked without replacement from bubgiib?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 3 (c) -524\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**1))**(7\/2)*(((b\/(b\/(b**(2\/13)\/b)))\/b)\/b)\/(b*b\/(b\/(b*b*b**7\/b))) assuming b is positive.\nAnswer: b**(-217\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h*h\/(h**(6\/19)*h))\/h)*h*h)\/h*h\/h**7*(h*h*h\/(h\/(h*h*h**(-1\/16)))*h)\/(h\/(h*h*h**(4\/7))) assuming h is positive.\nAnswer: h**(8139\/2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 6666*p - 1071211.\nAnswer: (p - 6823)*(p + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**3 + 12*s**2 - 678*s - 1388. Calculate c(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.28 - 19.7. Let r = q + -0.58. What is the closest to -1 in r, 0.5, 2\/13, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/11 - 28*t\/11 + 26\/11 = 0. What is t?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -37. Let s be 4\/1 + -2 + 2. Suppose i - 35 = -s*i. Solve p = 2*t, -5*t + 1 = -2*h + i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*g = 11, -10*j + 6*j = -4*g + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 3 (c) 11\/4 (d) 1 (e) 1608 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2279*v + 311237. Is a(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*a - 24 = 0, 6*m + 5*a + 32 = 2*m. Let i(k) = k**2 - k + 1. Let w(j) = -6*j**3 + 8*j**2 - 8*j + 8. Give m*i(c) + w(c).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -22. Let k(n) = 10*n - 2. Calculate the remainder when o is divided by k(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161.096 + -0.096. Let n = -73 - l. Let a = n - -233.99747. What is a rounded to four dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*w - 12, -4*w + 18 = 3*o - 0*w. Solve -o*h + h - 10 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 2*d + 10, 2*u + 5*d = 17. Solve u*g - 3*g + 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 4, -3, -14, -29?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -v - 5*f, 2*f + 32 - 23 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1801092 is divided by 501?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v**2 + 9*v - 6. Let o be r(1). Suppose o + 154 = 3*l - i, -164 = -3*l + 4*i. What is the greatest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 15*j - 5. Let g be o(10). Let l = 78 - g. Calculate the remainder when 62 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 + 29*w - 61)*(2 - 2 + 1) + 0*w - 5*w + w to q*w + l and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 119, 116, -6, -4, 5 in decreasing order.\nAnswer: 119, 116, 5, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llil. Give prob of sequence ll.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttvtvttvvvvv. Give prob of sequence vvvt.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by -61\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0.18204, 0.07, 1.\nAnswer: -28, 0.07, 0.18204, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -235, -325, -415, -505?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 15 = -5*s, -6 = -5*s + 4. Suppose 1 - i = -z. Does 10 divide (-66)\/9*(-6)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1196708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 0*u + 0*u - 2*u + u + 2*u - 2 + 2 - 4*u + 6 - 6 + 8*u - u + u + u + (4 + 2 - 4)*(6*u - 2*u - 2*u) + 2*u - 2 + 2 + 0*u + 0*u + 4*u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 3*t + 1. Let f(h) = 2*h**2 - 2*h + 1 - 6*h + 4*h. Calculate 4*f(d) - 5*g(d).\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41\/30 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 179 = -3*q + 22*s, -5*q - 3*s - 14 = -3*q + 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12)\/((-2)\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -596.\nAnswer: -1\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16927 - -17090.17. Let u = r + -163. What is the closest to 1 in 2\/13, 2, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a0 (base 13) to base 15\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010010 (base 2) in base 6?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 3*o)*(0*o + 4*o - 10*o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48330 times 141.49?\nAnswer: 6838211.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 6:55 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/6 + 994*a**4\/3 + 927973*a**3\/6 - 10078255*a**2 + 19535208*a = 0.\nAnswer: -1023, 0, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x - p = 7, -5*x - 4*p + 2 = 0. Is 135 + x + 0\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 342 - 173. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -422, -628, -834, -1040?\nAnswer: -1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 34. Suppose q*x + 1800015 = -4*g, -2*x = g - 2*g - 449990. Round g to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 199*f - 489*f + 0.\nAnswer: -290*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 394 * -0.46\nAnswer: -181.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -13. Suppose -6 = -3*b + x. What is the least common multiple of 62\/(-8)*-1*4 and b?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*f + 202*f - 106*f + 11)*(-2*f**3 - 2*f**3 + 5*f**3).\nAnswer: 8*f**4 + 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4235\/92 smaller than -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -710197 - -1209426. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 1\/72*f**4 - 1\/90*f**5 + 0 + 0*f**3 + 0*f - 1\/1008*f**8 + 0*f**6 + 3*f**2 + 1\/315*f**7. Find k, given that m(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Suppose 0 = -3*n + 5*b + 6, -4*n + 5*n + 3*b - i = 0. Suppose -n*k = 2*k - 80. What is the smallest common multiple of 8 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 94, 278, 584, 1012, 1562, 2234, 3028?\n\"Answer: 61*a**2 + a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -67529, -67527, -67525, -67523?\n\"Answer: 2*b - 67531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28258*p**2 - 13770*p.\nAnswer: 56516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9667.625 decades?\nAnswer: 1160115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/5 - -13\/15. Let l = -793 + 798. What is the third smallest value in l, -4, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 757344, 757345, 757346?\n\"Answer: y + 757343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-51)\/(-15) + 2\/(-5). Let p be (5 - 3)\/(-6) + 26\/6. Solve -3*y - 7 = 2*z - 21, -l*y = p*z - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p**4 - p**4 + p**4)*(-1 + 3 + 3)*(-2 + 5 - 4) to h*p**2 + a*p + t*p**4 + l + b*p**3 and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1872 and -9.6.\nAnswer: -1881.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*3\/((-6)\/(-29)). Let l = n - 1. Let v = -56 + l. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.62 - 0.16. Let i = -0.29 - -0.35. Let d = i - f. Sort -1\/2, d, -1\/3 in ascending order.\nAnswer: -1\/2, d, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/56268 and 7\/12?\nAnswer: 56268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3405\/(-112))\/(-5) + 1 + 14\/(-2) and 97\/4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -20*l**3 + 231*l**2 + 6*l - 30. Let o(m) = -42*m**3 + 463*m**2 + 13*m - 65. Determine 13*d(i) - 6*o(i).\nAnswer: -8*i**3 + 225*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-295)\/4 - 9977\/(-3628).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15883087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3 - 5767*k**2 - 14257*k.\nAnswer: -6*k - 11534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -709*v + 128334. What is b(181)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-143 - -122) + 8 + -1 + 1 + 0\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 198\/23?\nAnswer: 198\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/3)\/(4\/36*6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 0, t = -4*q + 5*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 19*h**2 - 43*h + 45. Is j(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1344 - -1335. Is d equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 3, d: 1, u: 1, v: 1}. What is prob of sequence sus?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27 + -4b15?\nAnswer: -4acc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53907736?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -348885 to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 13*s = 216. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0804592 or 1?\nAnswer: 0.0804592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58884*p**2 + 28535*p**2 + 44 + 30347*p**2 - 44.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000096 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18061922 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 4*b**4 + 8*b**3 + 6*b**3 - 12*b**3 in the form i + w*b**3 + a*b**2 + d*b + t*b**4 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-90)\/(-6))\/((-2)\/(-2)). Solve -3 = 3*g - k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 9 + 206. Calculate the greatest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4302.339s to minutes.\nAnswer: 71.70565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4443846?\nAnswer: 2, 3, 11, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-3*m - 2*m + 4*m)*(-45 + 43 - 33).\nAnswer: 35*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 7*o + m - 2 = 0, -5*m + 10 = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -4. Let a = r + 6. Suppose 77 = 5*l - a*q, -q - 3 + 2 = 0. What is the highest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15468*w**5 - 12*w**3 + 21*w**2 + 577748*w - 2?\nAnswer: 309360*w**3 - 72*w + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, w: 7}. Give prob of sequence fwff.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -217\/78? (a) -2 (b) 0 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -109?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/22803 - 265889\/3329238. Calculate the common denominator of m and -2\/9.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*m + 32. Suppose 2*j - 14 = -m*o, 3*j + 12 = o + 4*o. Is -2\/55 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5700 and 52444?\nAnswer: 74732700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 7*f**2 + 5*f - 3. Let r be i(-6). Suppose r*v = -3*d + v + 218, 3*d - 3*v - 228 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-15)*k*k)\/k**13*(k*k*k**5\/k)\/(k*k**5*k))**(3\/10) assuming k is positive.\nAnswer: k**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpp. Give prob of picking 1 x and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:00 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + (-18 - -7 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 85*f**3 - 3205*f**2 + 9740*f + 32980 = 0. What is f?\nAnswer: -2, 97\/17, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 5. Let a be v(-4). Put -3, 0.03, a in ascending order.\nAnswer: -3, 0.03, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -742*o**6 - 59*o**2 + 5?\nAnswer: -89040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxxx when four letters picked without replacement from jxxxojjx?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.485*0.6.\nAnswer: -5.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/80 and 91\/1237420?\nAnswer: 4949680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - c - 7, y - 5 = -y - c. Suppose -2*o + 5*o = 3*i - 72, 4*o - 36 = -y*i. Calculate the greatest common factor of i and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 14*v + 6*v)*(2*v + 8 + 6 - 10)*(-6 + 4 + 4 + (-2 - 2 + 6)*(1 + 1 + 0) + 3 + 1 - 2 - 3 + 0 + 5) to the form x + d*v**2 + z*v and give z.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*l**2 - b**2 + 4*b - 12055*l**3 - 218 wrt l.\nAnswer: 2*b**2*l - 36165*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p - 11*p + 5*n - 27 - 22, 4*p = 5*n - 53 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -36*m**2 - 100*m - 104. Let c(h) be the first derivative of -7*h**3\/3 - 10*h**2 - 21*h + 38. Let i(b) = -3*a(b) + 16*c(b). Factor i(l).\nAnswer: -4*(l + 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 417, 846, 1287, 1746, 2229, 2742, 3291, 3882?\n\"Answer: f**3 + 422*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18304 and 7150?\nAnswer: 457600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/6*(-27)\/(-48)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -168, -276, -416, -582, -768?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 0*b**2 - b**2 - b**3 - 7 + 2*b - 12*b + 10*b**2. Let u be z(8). Let r = u + 23. Solve r = -c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12574, -12577, -12580, -12583, -12586?\nAnswer: -12589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2. Let i(p) be the second derivative of p**4\/12 + 11*p**3\/2 + 204*p. Determine g(i(q)).\nAnswer: -3*q**4 - 198*q**3 - 3267*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*t**3 - 267*t**3 + 59*t**3)*(0*t - 6*t + 5*t)*(-6*t - 6*t - t).\nAnswer: -3874*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1319 + 1319. Let c(k) be the second derivative of m*k**2 + 30*k + 0 - 3\/4*k**4 + 13\/3*k**3. Find the second derivative of c(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18395860 and 609.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*q + 1380 = 214*q - 84*q for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58854?\nAnswer: 2, 3, 17, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132*i**2*x**2 - 15971*i**2 + 11*x**4 wrt x?\nAnswer: 264*i**2*x + 44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 4*p + 1. Let i be r(-3). Let c = -10 + 14. Suppose -3*g = b - 33, i*g + 57 = c*b + g. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68 - (0 - 16 - -17)) + -32?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 5*y + 3. Let n be g(2). Solve -n - 19 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8300 (b) -6\/7 (c) 13\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**3 + 2*r**3 + 0*r**3)*(r + 3*r - 3 + 4*r) - 2*r**4 + 3*r**4 - 3*r**4 as t*r**3 + q + p*r**2 + b*r + i*r**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1628.024 less than 5?\nAnswer: 1633.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004696001759 to 6 dps.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 1)*(0*s - 4*s + 2*s) + 0*s + 0*s - s - 10375*s + 7 - 10617*s - 7 to w*s + q and give w.\nAnswer: -20997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6 = r - 0, 2*r - 12 = -4*t. Let q be (r + 21\/(-9))\/((-2)\/(-3)). Which is the nearest to -1? (a) -10\/9 (b) 6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*b - 10 - 16 = 0, -3*l = 4*b. Suppose -4*t + 4*y + 272 = 0, t + l*y - 59 = 19. Is 35 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**3 + 245*a**2 + 45*a - 104. What is x(-49)?\nAnswer: -2309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33298, -267405, -903150, -2141353, -4182834?\nAnswer: -7228413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069246.1 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6283 - 4287. Suppose -f - 441 = -w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -95 (b) -36 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 100*t + 16. Let d be a(-5). Let p = d + 486. Calculate the lowest common multiple of 28 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25.67634 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -909*t - 78153. What is w(-86)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*b - 16, 16*t - 20*t - 4*b = -16. Put t, 1, -22, 3 in decreasing order.\nAnswer: 3, 1, t, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 43. Let f = 6 - v. Let b be f + (2 - (-4)\/4). Solve -2*j + t + 8 = b, t - 13 = -j - 3*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 - 41*a - 5. Let i be s(7). Is (-92)\/(-6)*123\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + 5572?\nAnswer: 5543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 4.5. Let v = 3 + l. Let n be 2\/(-10) - (-19)\/45. What is the second smallest value in v, n, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -32. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y*y**(-3\/8))\/y)*y*(y\/(y**(-1)\/y))\/y)\/((y**0*y)\/(y*y*y\/(y*y\/(y**(1\/8)*y))*y)) assuming y is positive.\nAnswer: y**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.036 and 83060?\nAnswer: 2990.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (90\/12 + -7)\/((-2)\/(-56)). Find the second derivative of 0 - 61*t + 1 - s*t**2 + 68*t wrt t.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2128.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 2*s**2 + 5*s. Let p be c(-2). Solve -3*t = 1 + p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 3*o - 12, 0 = -o. Calculate the lowest common multiple of p and 300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183077 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8151, -8169, -8243, -8403, -8679?\nAnswer: -9101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5267156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.13 + -131.13. Let f = 129.4 + l. Which is the nearest to f? (a) -0.5 (b) 2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1058746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*o + 108 = -114, -2*o - 58 = -t. Let j be 30\/t + 4\/(-14). Solve 1\/2*n - j - 1\/4*n**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.388 - -4.3. What is p rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, i: 1}. What is prob of sequence sss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11189452?\nAnswer: 2, 2797363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100001 (base 2) to base 9\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90887307426 - 90887307426 - 732*c**2.\nAnswer: -732*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 4*l**2 + l + 3. Let i be b(-4). Suppose -3*u - 4 = -2*u. Suppose -2*s = -s. Sort i, s, u in descending order.\nAnswer: s, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.64 + -188.36. Let i = p + 191.94. Are i and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1 - 1) + 2. Let z(j) = 2*j + 8*j + 0*j - 19*j**k + 12 + 18*j**2. What is the tens digit of z(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1164*f - 2321. What is d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + 8. Let q be (-10)\/j - 0\/((-2)\/(-1)). Let r be (-4)\/(-22) - (-234)\/165. Which is the second biggest value? (a) q (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 14 + 13 = -5*n, -b - 5*n - 9 = 0. Let o(j) = j**3 - j**2 - 3*j + 2. Let i be o(1). Put -3, b, i, 4 in decreasing order.\nAnswer: 4, i, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2205 and 441.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -528, 3, 0, -13, -76, -4 in decreasing order.\nAnswer: 3, 0, -3, -4, -13, -76, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62207*o - 62207*o + 489*o**2.\nAnswer: 489*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 2*f**3 + 2*f + f**2.\nAnswer: 2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14329 divided by 1\nAnswer: -14329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c31 (base 15) to base 16.\nAnswer: 3247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*v + 27, -232*f + 227*f - 40 = -5*v. Let k(j) = 4*j + 5 - 6 + 5. Let t be k(10). Calculate the greatest common divisor of t and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 142 - 45 = -37 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9386233\/320 - -29332. What is the common denominator of -37 and b?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/3 - 2408*b**2\/3 + 559307*b\/3 + 2275820\/3 = 0. What is b?\nAnswer: -4, 265, 2147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3 + 103556*i**2 - 103552*i = 0. What is i?\nAnswer: 0, 1, 25888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17635 is divided by 375.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5650994 + 5651226.0251. Let y = -232 + f. Round y to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u*u**10))\/u)*u*u**(-13))\/(u**3)**(-8\/9) assuming u is positive.\nAnswer: u**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.55 - 0.45. What is the second biggest value in v, -5, -0.02, -0.2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*n - 4*s + 588, 5*n - 5*s - 725 = 0. What is the remainder when n is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 2*q)*(-1 + 2 + 0)*(-3 - 751*q + 748*q - 11)*(-3*q**2 + 5*q**2 + 0*q**2).\nAnswer: 12*q**4 + 56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 0.8 (b) 2 (c) 2\/4619 (d) -0.5 (e) 3 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 7. Suppose 4*z - 6*q = -q + 139, j*z - 4*q - 104 = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3 + 6 - 2*m - m**2 + m**3 - 2*m**3 - 5. What is the units digit of u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(2\/25*(-5)\/1). Sort 4, c, -5 in decreasing order.\nAnswer: c, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2902.5 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 1257?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 20197 - 5353. Let i = -1293 - v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -323012?\nAnswer: -323030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140670277 + 140670287.0999929. Let u = q + -10.1. What is u rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*y - 9*y + 33*y)*(-y + 4*y - y)*(-3*y + 20*y**2 + 2*y + 0*y + (2*y + 1 - 1)*(y + 0*y + 0*y)).\nAnswer: 2772*y**4 - 126*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 83*l - 81. What is t(45)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + k - 20, -56684*k = 5*y - 56681*k - 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 39. Let j(x) = 82*x**2 + 4*x - 3. Is 23 a factor of j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 33*j - 474. Let k be d(45). Sort -3, k, -3\/4.\nAnswer: -3, -3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -3 in increasing order.\nAnswer: -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.7 + 58.7. Let k = f + -52. Let i = -2.999971 - k. What is i rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 4*l - 3. Let j be z(4). Let f(k) = k - 3. Let c be f(7). Suppose 4*t = -5*v + 26, c*t - 6*v = -9*v + 22. Put j, t, 5, -2 in descending order.\nAnswer: 5, t, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47429879 divided by 1.\nAnswer: -47429879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -1\/10 (c) -6 (d) 67 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2498060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -7. Let w(s) = -s**3 - s**2 - 2. Let v be w(u). Find the common denominator of (-1)\/v - (2 - -5) and -89\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/3 + 1\/1. Suppose z*s + s = 15. Factor 0*a - a**4 - 1\/2*a**2 - 1\/4*a**5 - 5\/4*a**s + 0.\nAnswer: -a**2*(a + 1)**2*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101749 + 294776.\nAnswer: 193027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*u = -0 + 2, 59 = 5*s + 2*u. Let d(o) = o**3 + s*o - 7*o**2 - 10*o + 5 - 5*o. What is d(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*w - 15, 0 = -4*q + q - w - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - -2 - 4) + 4)\/((-330)\/60)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 17*v**3 - v**3 + v - 88389 + 88384 in the form b*v**2 + g + w*v + q*v**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 47. Suppose -n - 3*k = -16, 5*n - 3*k - k - 80 = 0. Let p = n - v. Solve a = -p*o - 4 + 1, -1 = o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*c + 571*c - 177*c - 188*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.19 or 3419\/2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 13 = -31. Calculate the greatest common factor of f and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.5, -1, 0.16, 3\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 110 and 1.766.\nAnswer: 194.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2453 is divided by 61.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111124 - -221?\nAnswer: 111400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/4 - 288279*i**3\/2 + 6925542624*i**2 - 13850508696*i.\nAnswer: 3*i*(i - 96092)**2*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67092.\nAnswer: 2, 3, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 5. Let t be p(-2). Suppose -2*w = t*v - 78, 0 = -4*v - 3*w + 107 - 3. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32*(9\/(-6) - ((-40 - -20) + 19))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 5. Suppose -4*j = 3*n - 7*j + 9, 4*n = -s*j + 33. Solve 4*f = f - 9, 0 = n*w + 5*f + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10903*c - 342. Is b(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2. Let z be 3\/(6\/b)*10. Let r(s) = -s - 2. Determine r(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 6 - 4)*(-q**3 - 3 + 3)*(-q - 3*q + 7*q) as b*q**3 + c*q**4 + v + z*q**2 + y*q and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m**3 - 6*m + 17*m - 6 - 6*m + 2*m**3 - 3*m - 2*m**4 to the form a*m**2 + i*m + u*m**3 + q + n*m**4 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -53. Let o = -3 - -3.7. Let f = o + l. What is the nearest to 2 in 4, 4\/3, f?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60129 + 25*w**2 - 60130 - 5*w - 21*w**2 - 12*w**3 in the form b*w**3 + m*w**2 + q*w + s and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3\/2, 5\/2, -1, 7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 6*h - 13 + 16*h)*(0 + 0 + 1).\nAnswer: 22*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887671 is divided by 5411?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2 + 1131*b*i - 25*i + 15 wrt b?\nAnswer: -4*b + 1131*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1059? (a) -3 (b) 6 (c) -0.4 (d) 0.5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 565, 130, 556 in descending order.\nAnswer: 565, 556, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let j(c) be the first derivative of -25 + 0*c**2 + 0*c + 20\/3*c**3. What is j(k(m))?\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 15, i: 4}. What is prob of sequence dddd?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/5 + (-176)\/80 + 1165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445238363 to the power of 1\/2, to the nearest integer?\nAnswer: 21101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228708453 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -419, -495, -623, -815, -1083, -1439, -1895?\nAnswer: -2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) -2 (b) 0.5 (c) -6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11850, 48165, 108760, 193635, 302790?\nAnswer: 436225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 341*h**3 + 3*h**2 - 3*h + 1. Let p be j(1). What is the greatest common divisor of 2682 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196526 divided by -3\nAnswer: -196526\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-56)*(-6)\/(-46).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*y - 63 - 19 = -163*y for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2670 = -858*t + 413*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/2 + (-18)\/9. Let q be (6\/(-4))\/(c\/14). Is 1 - (6 - q) - -42 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 23*q + 51 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 381951.36 minutes in weeks?\nAnswer: 37.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -122*19\/(-76) + -30?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1162144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 7264355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**2 + 70*h - 3640. Let n(p) = 72*p. What is n(o(z))?\nAnswer: 144*z + 5040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.96 + -6. Let k = v - 1.96. Is 1 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5316666000 and -9.6?\nAnswer: 5316666009.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 1:32 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**2 + 63*q + 21. Give w(-7).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-42))\/(10116\/126 + -74).\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.9 + 19.4. Which is greater: 6\/5 or j?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*((f**(-4\/7)\/f)\/f)\/f*f)**(2\/57) assuming f is positive.\nAnswer: f**(-8\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 38993 - 5*t**3 - 38993.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3024171363.\nAnswer: 3, 10193, 98897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 55*k - 9112. Let q be n(166). Solve -6*p = -4*j + 16 - q, 4*p + 3*j = -10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 319616940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43491544 or 43491545?\nAnswer: 43491544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -15. Solve -2 = g*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2975 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 332854943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 2*w + 1. Let z(u) = 67*u**2 + 2*u + 781. Let i(l) = -2*d(l) + 2*z(l). Find the first derivative of i(n) wrt n.\nAnswer: 264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 575 + -572. Let b(z) be the second derivative of -6*z - j*z**2 - 1\/4*z**4 + 0 + 0*z**3. Differentiate b(i) with respect to i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5629.802 - 5557.8. Let h = 0.002 - x. Let t = h - -72.4. Which is the second biggest value? (a) 3 (b) -0.2 (c) 0 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(sqrt(1100) + 0)*1)**2 + 4*(-4*sqrt(88)\/sqrt(8) - (sqrt(11) + sqrt(132)\/(sqrt(12) + sqrt(36)\/sqrt(3)))).\nAnswer: 278*sqrt(11) + 27509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 + n - 2. Let v(a) = -11*a**2 - 129*a + 10. What is 3*r(q) - v(q)?\nAnswer: -q**2 + 132*q - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1129.9 + 1293. Let x = u - 163. Suppose 0 = -5*c + z + 3 + 10, -4*c = 4*z + 4. What is the third smallest value in x, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*z - 32 = -4*s, -5*s + 174 = 3*z. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**6\/320 - 7*q**5\/160 - q**4\/16 + 3*q**3\/4 + 69*q**2. Determine t, given that w(t) = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*152.\nAnswer: 9120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1039394, 1039394, 1039392, 1039388?\n\"Answer: -z**2 + 3*z + 1039392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - 2) + 2 - (156 - 157).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 116 + -45 + 82 + -83\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-19) - 4276419\/(-124811).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -58. Let u = i - 5. What is the remainder when u is divided by ((-19)\/3 + 5)*(-4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c**(2\/3)*c)*c)*c)\/(c\/c**(-1\/2)))\/(c**(-3)*(c**(2\/9)\/c)\/c))**6 assuming c is positive.\nAnswer: c**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from {p: 10, d: 1, z: 1, n: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*v**5 + 1 + 25*v**2 - 4591*v**3 + 4591*v**3 wrt v.\nAnswer: -480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*(350\/10)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -15. Solve 5*r + 0*r - w = n, -4*n + r - 20 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(605)) + 5 + sqrt(605) + sqrt(605)*1.\nAnswer: 1 + 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 18*n**2 + 16*n - 43. Calculate the smallest common multiple of 14 and z(-19).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -6 + 8 + 0 - 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Let w = -927\/5 + 183. Let v = 9\/40 - w. Is v at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in -0.2, -8\/4451, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28421, -62921, -97421, -131921?\n\"Answer: -34500*b + 6079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -9. Suppose -2*d + z - 5 = 6, j = -3*d + 4*z - 29. Let g be (-3 + (-3)\/(-2))*46\/d. What is the highest common divisor of g and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 78190 (base 14) in base 12?\nAnswer: 120616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 21*p**2 - 14*p - 116. Let g be y(20). Suppose -2*m + g*a + 20 = 8*a, 0 = -5*m - 2*a + 10. Sort 10, -5, m.\nAnswer: -5, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 6:34 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-38))\/(((-9)\/(-8))\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -39974 divided by -28\nAnswer: 19987\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7257*d - 8*d**3 - 3619*d + 5*d**3 - 3638*d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 14. Let g be m(12). Let t(c) = 7*c + 3*c + 10 + 0*c. Let o be t(g). What is o rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 2:15 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 35. Let r = q - -15.5. Which is the nearest to -3? (a) 0.1 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let p = b + -5. Let l(o) = 4*o**2 - 1. What is the units digit of l(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*b - 0. Calculate the remainder when (-120)\/36*3\/(-2) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 17. Let h be j(16). Let c(f) = -339*f**3 - f**2 - 4*f - 2. Let s be c(h). What is s rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12*-6)\/((-180)\/15)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8600286 and 24.\nAnswer: 34401144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i + 3*i - 20*i + 4*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.2 (c) 2\/4905 (d) -2\/105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, -6, -1, -0.04, -31, -13?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1 + 1 + 12*c**2 - 10*c**2 - c**2. Let a(o) = 2. Let s(g) = -g**2 + 5. Let y(z) = -5*a(z) + 2*s(z). Calculate y(f(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82989375 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2659583 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*46758.\nAnswer: -14027.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 + 10*v. Let i(c) = c**3 + 7*c**2 + 11*c. What is -2*i(q) + 3*w(q)?\nAnswer: -2*q**3 + 4*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710396 a multiple of 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - f + 7, 0 = 2*f - 1 - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292050 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -414203, 2, -2, 0.\nAnswer: -414203, -33, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-186)\/155*-3*15\/(-18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103\/8 - -563\/40. Suppose 2*n**3 - 2*n - 8\/5*n**4 + q*n**2 + 2\/5 = 0. Calculate n.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44, -91, -134, -173, -208, -239?\n\"Answer: 2*n**2 - 53*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 2000221222202?\nAnswer: -2000221222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2. Let l(q) = 18467*q. Let m(y) = 57*y. Let x(h) = 2*l(h) - 649*m(h). Calculate x(r(g)).\nAnswer: -118*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150895*h**3 - 150886*h**3 + 452740*h**3 - 150921*h**3.\nAnswer: 38*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 20\/(-8)*(-18)\/(-15). Let p(z) be the second derivative of -1\/2*z**2 - 2*z - 1\/3*z**4 + 0 - 1\/6*z**3. Determine p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36.36 + -38. Let d = -1.36 + n. Sort 1, 1\/2, -2, d in descending order.\nAnswer: 1, 1\/2, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/81800 and 73\/871170.\nAnswer: 17423400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423070 is divided by 607?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eez when three letters picked without replacement from {e: 2, s: 3, z: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3527931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2279*k + 3 = -2281*k - d, 5*d - 11 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1325*c + 18 - 60 + 16 + 24.\nAnswer: -1325*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/53 + 49\/106. Let p(u) be the second derivative of n*u**4 + 0*u**3 - 1\/5*u**5 + 3*u + 0*u**2 + 0. What is the third derivative of p(g) wrt g?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(425) + 0 - (sqrt(425) + -2*sqrt(425) + 2) - (2*(sqrt(425) + -2) - -6*(sqrt(425) - sqrt(425)*2)))**2.\nAnswer: -91806 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 6. Suppose v*g + 4*l = -0*l + 10, 5*g + l = 11. Let f = -3290 - -3294. Sort 0, g, f, -5.\nAnswer: -5, 0, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - (25 - 23)*-13) + -41.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 14*d + 9. Determine t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316883?\nAnswer: 3, 438961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -154.\nAnswer: 5\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132627 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - 30*k**2 + 29*k**2 + 3*k**3 - 3*k as b + p*k + c*k**3 + m*k**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/12)\/((-4)\/6*(-27)\/162)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 23 - 16 = 2*m, 0 = -3*l - 3*m + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 112 = 5*c, -5*c + 8 + 2 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 19*b + 24*b - b + b. Let v(g) = g - 2. Let k(s) = -10*s + 22. Let q(y) = -2*k(y) - 22*v(y). Calculate q(m(f)).\nAnswer: -86*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-16)\/((-8)\/1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -79, -45, 13, 101, 225?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 - -1. Let i = u - 0.6. Which is the closest to 0? (a) 2\/7 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z. Let v(t) = 136*t. Determine p(v(l)).\nAnswer: 408*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -25, 13, -30, -5, 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w + 2*p + 280 = 0, 2*w - 3*p - 148 = 0. Suppose 36 = -w*s + 72*s. What is the highest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*j - 9 + 0*j - j to d*j + b and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35632 + 12?\nAnswer: 35644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111823308 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4694 + 433*a - 3526*a**4 + 439*a - 872*a wrt a?\nAnswer: -14104*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - ((-15)\/9 + -2))*-6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1376\/5 - ((-2)\/2)\/(-5). Let n = m - 104. Calculate the remainder when n is divided by 61.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + 18 + -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-52)\/(-65))\/(4\/10). Solve -7*j = -z*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10021 divided by -1\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztzt when four letters picked without replacement from rtttrtzzzzztzzzzttr.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -1 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(800) + 3).\nAnswer: -80*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 451.2 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13241, -26378, -39515, -52652?\n\"Answer: -13137*w - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + -4. Let f = -5 - u. Suppose 3*h = -6, 0 = -s - 2*h - f - 0. Which is smaller: -7 or s?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*z + 457088 = 141*z + 4*b, b = 4*z - 457053. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-15)\/(-18))*35\/(-10). Suppose 2*w + 3*z = 0, -5*w + 3*z - r = -0*w. Let h be (4\/12*-50)\/(w\/(-8460)). What is h rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(95)*1 + sqrt(95) + sqrt(95))*-5)\/(-5*sqrt(20)*-3) + 5.\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 577 divide 404208695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*a - 1682 + 1654 = 0, a = 8*d + 46 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 2. Let o be r(-1). Let i be o - (-3 + 1 + -6). What is the units digit of (12\/(-10))\/(i\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x + 2. Let a be w(4). Let h = a - 0. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(8)\/(sqrt(20)\/sqrt(5)) + sqrt(800))**2*5.\nAnswer: 13230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 59, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 342, 691, 1042, 1395, 1750, 2107?\n\"Answer: i**2 + 346*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15992226, -31984430, -47976634, -63968838?\n\"Answer: -15992204*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (435525\/15015 - 29)\/((-984)\/(-88) - 11)?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1478*z - 1481*z - 1128. Are z and -378 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*l - 1 = 5, -3*l + 18 = 4*o. Solve -o*i + 7 = -2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122305 and 860?\nAnswer: 21036460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*120\/50*((-365)\/1752)\/((-3)\/(-12)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-6) + (1 - -4)\/(-15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 i when four letters picked without replacement from uiuuiuuuuuuuuuuuuuu?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 + -1 - (6 - 3) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 84 = 9*o. Let s = o + -17. What is the remainder when 100 is divided by (-1)\/((-2)\/108) + s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1323312 + 2?\nAnswer: -1323310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.125 + -0.275. Let u(c) = 2*c - 3. Let i be u(4). Let f = -5 + i. What is the second biggest value in y, 6\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**5\/100 - s**4\/15 + s**3\/30 + 2*s**2\/5 + 491*s. Determine x, given that f(x) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-101790)\/(-27))\/(-29) - -103?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15392\/5 greater than or equal to 0.075124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, e: 2}. What is prob of sequence xee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-11 + -7 + 8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*(0 + (-28 - -27))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5\/7 (b) -2\/9 (c) -400 (d) 0 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5 + 1. Suppose 63 = -0*z + 4*z + 3*m, 4*z - 58 = -y*m. What is the greatest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 39*w**2. Let m(b) = 70 + 79 - 40*b - 149. Calculate d(m(g)).\nAnswer: 62400*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/19952 and 101\/7482?\nAnswer: 59856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**2 - 3*q**2 - q**2.\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 1. Let h be y(-5). Let b = 638 + -386. Let s = -252 + b. Solve s = h*z + 11 + 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 5. Let o = -6 - a. What is the biggest value in o, -2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let p(u) = -668770026*u. What is l(p(w))?\nAnswer: 668770026*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -5580 and 14\/2343 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/5 + 1\/(-5). Suppose l - 2*v - 29 = 0, 2*l - 20 = j*v + 35. Calculate the common denominator of -55\/13 and ((-93)\/30)\/((-21)\/l).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*k + 26*k. Solve -5*q + 2*z - 16 = 0, 2*q + z + 1 = -k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 749838*p - 5248820. Calculate g(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 k when four letters picked without replacement from {k: 12, g: 4, h: 1, b: 3}.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + -1. Let p = 0.6 + l. What is the closest to p in 3, 5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 5 + 15)*(-4)\/(-10). Find the common denominator of -53\/6 and (c + 528\/(-18))*(-1)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 5*x - x + (-7 + 1 - 2)*(2*x + x - x) to f + z*x and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - a. Let t(z) = z**2 - z + 2. Let p(u) = -u + 1. Let x(k) = 2*p(k) - t(k). Give 7*d(l) - 6*x(l).\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 129\/27 - (-6)\/27. Let q(w) = c + 1 + 265*w**2 - 264*w**2 + 0. Let z(t) = t. Determine q(z(a)).\nAnswer: a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 i when four letters picked without replacement from {z: 2, i: 8, r: 2}.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (sqrt(130)\/(sqrt(20)\/sqrt(2)))**2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 17595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 14543 = -30732. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-14)*1052\/789. What is the nearest to w in 5, -3\/4, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 38647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 17. Let y(a) = -5*a - 86. Let j(r) = -4*y(r) - 22*z(r). Let v be j(-15). Solve -5*u + v*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3819 and 3135342?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/((-4)\/4)*(-3658)\/(-1736)*28?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsssqcrrrbsslscssqb. What is prob of picking 1 l and 1 r?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -5. Let w = 9 + b. Solve 4*k = -5*q - 16, 0 = -k + 2*k - w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h. Let c(m) = 38*m**2. Calculate c(j(o)).\nAnswer: 3078*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(70)*-1*-2 + sqrt(70) + (sqrt(70) + sqrt(70)*2)*-6))\/((5*sqrt(200)\/sqrt(4))\/(sqrt(125)*-1)).\nAnswer: 75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, b: 4, m: 2, g: 1, o: 2}. What is prob of sequence gbm?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -122*c**2. Let y(d) = 2*d**2 + 3*d - 1. Let n(j) = 49*j**2 + 147*j - 49. Let f(w) = n(w) - 49*y(w). Determine f(p(i)).\nAnswer: -729316*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 64*c**2 + 136*c - 211. Determine o(-66).\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x*x**(-30))\/x))**(1\/7)\/(((x\/(x*x*x**(2\/119)*x))\/x)\/x)**(1\/38))**(17\/4) assuming x is positive.\nAnswer: x**(9929\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092331 is divided by 20610.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*n - 73 = 0, 0 = -3*l - 2*n - n + 45. What is the remainder when 24 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211.932 millennia in years?\nAnswer: 1211932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.075 - 0.485. Let p = i + 0.31. Which is the third smallest value? (a) -1 (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, 0, -1, 5, 2 in descending order.\nAnswer: 15, 5, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (2808\/(-30))\/(-9) + (-2)\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*l - 36108, 41*l = 36*l - 2*t + 45149. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 1234302112?\nAnswer: 1234302132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(108)*3 - sqrt(108)))\/(sqrt(96)\/(sqrt(972)*2)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybbscss. Give prob of sequence bb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14806285600618.9+0.3\nAnswer: -14806285600618.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpww when four letters picked without replacement from {p: 6, w: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1675 - 1680. Let s = 1 + 0. Sort s, 3, z.\nAnswer: z, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952 = -41*d - 27*d. Solve 11*v - d = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306925008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 93011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*p = -3*p + 9, 5*z - 2*p = 8. Let q be 303 + 6\/(-4)*z. Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 177996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 150 = 3*r + 2, 4*x - 276 = 4*r. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p - 7. Let j(b) = -5*b - 3. Determine -2*h(k) + 5*j(k).\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -1)\/(4 + (-117)\/26). Let k be (-16)\/(-6) + 4\/(-6). Solve w = 2*d - k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4877*q**2 - 35*q + q**3 - 59*q - 4876*q**2 to the form z*q**2 + b + f*q + x*q**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = -3*f, 2*y + 0*y = f - 10. Calculate the highest common factor of 28 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f**4 - 6*f**4 + 9*f**4 + (-4*f**2 + 0*f**2 + 0*f**2)*(2*f**2 + f - f).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40360 + 34?\nAnswer: -40323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -201*l + 15. Let o(a) = -1004*a + 72. Let h(c) = -5*o(c) + 24*q(c). Let p(t) = 2*t. Calculate h(p(z)).\nAnswer: 392*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {a: 1, r: 1, q: 1, h: 1, j: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + (-24 - -40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 + 9*v**2 + 2*v**2 - 3*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = -7*k + 4*k, -5*k = -25. Suppose x = 4*y + 17, -5*x + 0*y - 2*y - 3 = 0. Is (3 - 8)*(v - x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10854804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-176)*(-6)\/12)\/(4\/(-1312)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8022, -8220, -8446, -8712, -9030, -9412, -9870?\nAnswer: -10416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.51241 and 163113387.\nAnswer: 163113385.48759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**4 + 72615*p**3 - 872100*p**2 = 0.\nAnswer: -14535, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-230*k + 138*k - 15*k)*(-11*k**2 + 5*k**2 + 11*k**2).\nAnswer: -535*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -29477\nAnswer: -29477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-5)*(-10)\/(-4). Find the common denominator of (-1*r)\/(5 - 7\/3) and 57\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m**2 - 4 + m**2 - 3*m**2 + 0 to y*m**2 + r*m + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-12)*(-28)\/7. Put p, 0.1, -1 in increasing order.\nAnswer: -1, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 - 2 - ((-230)\/(-23) - 15). Sort 0.3, h, -0.2, -13, 5 in increasing order.\nAnswer: -13, -0.2, 0.3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106.96 - -107. Which is the closest to -1? (a) -0.5 (b) t (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 34 - 89. Let k = 6 - h. Which is greater: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*v - q, -21 = -3*v - 9*q + 5*q. Solve v*h = 15*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 1152*j**3 - 16*j**2 - 4608*j.\nAnswer: 4*j*(j - 2)*(j + 2)*(j + 288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 + 11.2. Let x = -0.56 + 0.86. Let c = x - k. Round c to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15606834*j**2*x - 34*j*x - 2*j + 238*x - 30 wrt j?\nAnswer: -31213668*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 83.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.661 - -5.7. Round n to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/3705950 and -87\/3705950.\nAnswer: 3705950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 450*s**2 - 1. Suppose -3*b = -3*v + 9, -v + 3*v - 12 = 5*b. Is x(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -35, -50, -65, -80?\n\"Answer: -15*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.14 - -0.14. What is the nearest to -0.09 in -3, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3723, 8158, 14031, 22062, 32971, 47478, 66303?\n\"Answer: 120*s**3 - s**2 + 3598*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 3*u**8\/56 - u**4\/12 + u - 3. Let j(a) be the first derivative of o(a). Find the third derivative of j(l) wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*r**2 - 14*r**2 - 2*r + r - 35*r**2 - 5*r**4 + 3 in the form s*r**3 + d*r**4 + u*r + i + l*r**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - (-361)\/(-76). Let j = s + 8. Suppose 2*m + 3*m - 7 = 4*w, -6 = -j*w. Solve -u = 0, 5*c = -m*u + 7*u - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -38. Which is the nearest to 4? (a) -5\/3 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*c**3 - 1216*c**3 - 340*c**3 + 54*c**3.\nAnswer: -1550*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4, -1137265, 3, 0.5, 0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 4, w: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 5*g**4 - 2 - 3*g**4 - 3*g**3 + 12*g**4 to the form w*g**4 + l*g**2 + u + i*g**3 + r*g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(1\/7))\/y**6)**21*((y*y**1\/y)**(-35))**(-42) assuming y is positive.\nAnswer: y**1383","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2756*z**2 + 24818*z - 121. Calculate s(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 3:18 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.67 + -15.27. Let m = -3 + -0.92. Let n = m - 0.08. Which is the closest to 0? (a) n (b) f (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:33 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-16) - ((-30)\/36 - -1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*p + 6, 0 = 4*p + 13 - 5. Let j(x) = -x**2 - 4*x - 1. Let v be j(-2). Let k = 69 - 71. Sort v, b, k in increasing order.\nAnswer: b, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - ((-4019)\/2 - 84\/168)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14078.\nAnswer: 2, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25505, 25494, 25495, 25514, 25557, 25630, 25739?\nAnswer: 25890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = k - 10, -2 = -k - 0*k + o. Let t(n) = -11 + 5 + 4. Let s be -2 - -1 - (-1 + 3). Let a(y) = -y + 3. Determine k*a(b) + s*t(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -391, -918, -1645, -2578, -3723, -5086, -6673?\nAnswer: -8490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.36, -3, 4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-2)*f*f)**46\/((f*f**(-2\/3)*f)\/f**(-6)))**(-2\/111) assuming f is positive.\nAnswer: f**(-508\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 10*d**2 - 15*d + 71. Let s be u(7). Let v = 116 - s. Factor -9\/7*n**4 + 24\/7*n**v - 3*n**2 + 6\/7*n + 0.\nAnswer: -3*n*(n - 1)**2*(3*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((3\/2)\/(-3)). Let t = m + 2. Solve -4*u + 14 = 3*j, -16 = -5*j + t*u - 7*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -91*r**5\/15 + 97*r**3\/3 - 278*r**2. Differentiate u(b) with respect to b.\nAnswer: -728*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3033793.\nAnswer: 7, 433399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247548162.\nAnswer: 2, 3, 43, 959489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -278263\/282 - 106\/141. Do -988 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d. Let j(s) = 1698089*s - 1698090*s + 9 - 2 - 7. Let w be -2*(0 - (-1)\/2). Determine w*f(i) - 6*j(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 530940375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845454?\nAnswer: 2, 3, 140909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 289520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2209 and 1034.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.09208936 rounded to one decimal place?\nAnswer: -26.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*w = -4, w = 4*r + r - 4. Let q be 44\/52 + r\/(-1). Let s = 0.02 - 0.12. What is the closest to s in q, 2, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8286 divided by 3.\nAnswer: 2762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 2*t - 2. Let x(d) = d + 1. Let u(k) = f(k) + 2*x(k). Let j(b) = -2*b. Determine u(j(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15463 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from yaqayqqyayooyyyyyyyy.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-25)*10\/6. Which is the third biggest value? (a) i (b) 2 (c) 2\/17 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 5:36 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - -1) + 6 + 261\/(-27))\/(4706\/642369).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8 - 2. Let o = i + -0.86. Let s = o - -0.05998. What is s rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 10*d - 10. Let y be f(-9). Is -293*(y - 3 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782835 is divided by 41200.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 5. What is x(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38550\/23 or -1677?\nAnswer: -38550\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/24)\/(2\/(-12)). Solve -2*t + j*w - 3*w = -13, -4*t + 3*w + 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294883543 to the nearest integer?\nAnswer: 17172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 568873 divided by -2?\nAnswer: -568873\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2009836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(17\/10 + (-12)\/(-15)). Let c(r) = 2*r**3 + 6*r**2 - 15*r - 9. List the prime factors of c(w).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p + 32 - 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -20*u**3 + 8*u**2 + 19*u + 9. What is the hundreds digit of t(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -10.00000081. What is g rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*z = -0*s, 4*z = 0. Let d be (-12)\/(-3) + -5 + (-4)\/(-5). Which is bigger: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -120110340?\nAnswer: 120110341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 911800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 132*o + 7059. What is the least common multiple of 57 and s(-50)?\nAnswer: 8721","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789230401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1564140238 to the nearest integer?\nAnswer: 39549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9189 + 9185. Suppose -2*s - 2*s = 0. Sort -17, n, s in increasing order.\nAnswer: -17, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/v**(2\/17)*v))\/(v*v**(-3\/14)))**(-2\/25) assuming v is positive.\nAnswer: v**(127\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -3, 5, -2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.417378ug?\nAnswer: 0.000417378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.642037 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-48))\/((4*(-20)\/(-96))\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 399 + -395. Let t(s) be the third derivative of 0*s + 1\/15*s**5 - 4*s**2 + 0 - 5\/24*s**v + 0*s**3. What is the second derivative of t(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**3 - l**2. Let f be h(1). Solve 0 = 5*q - 13 + f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1937 and -1.\nAnswer: -1937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*6*(2400\/(-10))\/(-6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-728))\/((208\/17180)\/(-2)). Let r = -10\/169 + c. What is the common denominator of -43\/68 and r?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42928 by 6.\nAnswer: 21464\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 44*k - 3500 = 89*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1846 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22062\/(-25739)*(-1834)\/(-40)*(-20)\/6\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 12:29 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6619*r - 13243*r + 2806 = -6746*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33020 (base 5) to base 13\nAnswer: -104b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25097, -25075, -25073, -25103, -25177, -25307, -25505, -25783?\nAnswer: -26153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 4*a**2 + 2*a. Let b(t) = 2*t**3 - 5*t**2 + 3*t + 1. Suppose -7*z - 154 = -92*z + 8*z. What is z*b(w) - 3*v(w)?\nAnswer: w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*k + 405*k - 953*k.\nAnswer: -930*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 9. Let o be u(0). What is the common denominator of 19\/5 and -2 + (-147)\/o - 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 8. Let d be a(0). Suppose -6 = 6*c - d*c. Solve -s - 2*g - 10 = 0, -4*s - 3*g - 15 = -c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135 by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k**5 + 1306680*k**4 + 5661884*k**3 - 4210152*k**2 + 725890*k = 0 for k.\nAnswer: -72589, -5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 + 3*o**4 - 4*o**4)*(o - 2*o - o) - 2*o**5 + o**2 - o**2 + 112*o**5 - 65*o**5 - 155*o**5.\nAnswer: -114*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = -0*f. Calculate the remainder when (-4)\/16 + (-975)\/(-60) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 11.798 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67360, -65890, -64420, -62950, -61480, -60010?\nAnswer: -58540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 42 + 58 = 0. Let u(g) be the second derivative of 7*g + 0*g**4 - g**3 + 3\/2*g**x - 1\/10*g**6 + 3\/10*g**5 + 0. Factor u(l).\nAnswer: -3*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*x**3 + 16*x**2 - 16*x + 446019 wrt x.\nAnswer: -12*x**2 + 32*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 731, 4209, 13169, 30353, 58503, 100361, 158669?\n\"Answer: 457*g**3 - g**2 + 282*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*t - 20, -x - 4*t = -0*x - 4. Let f = -4 + x. Suppose -5 - 3 = -f*m. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**3 + m. Let t(s) = -3*s - 7*s**3 + 997 + 1001 - 1998. What is 5*n(l) + 2*t(l)?\nAnswer: l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -717 (b) -1679 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*x - 15, 221*x - 220*x - 3*s - 10 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -199*o**8\/336 - 17*o**5\/30 + o**4\/24 + 194*o**2. Find the third derivative of a(i) wrt i.\nAnswer: -11940*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*f - 171*f = -465 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/60 + a**4\/8 + 5*a**3\/6 + a**2. Let c be z(5). Put -3, -1, c in decreasing order.\nAnswer: -1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 5. Let d be b(5). Is d at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) 0.5 (b) -0.4 (c) -9\/18800 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -9, -28, -53, -84, -121, -164?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 less than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1)\/((-2)\/(-3)). Let v be (z + 13)*(1 + 1). Suppose 0 = -5*u - v + 60. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8141, 8140, 8137, 8132, 8125?\nAnswer: 8116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(1 + 0 + 1)*(-43 + 43 + 5*z).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, -19, -51, -95?\n\"Answer: -6*u**2 - 2*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 8 - 2*x + 3 + x + 2*x. Is k(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:39 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1670555 and 1145.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.5 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -39182822 + 27\nAnswer: -39182795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -175*i - 1752. Let r be j(-10). Let o = 1033\/10 - 201\/2. Is o at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 - 2) - (-3 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 12. Factor g*j - 10*j**2 + j**5 - 7*j**2 + 0*j**5 - 7*j**4 - 3*j**2 + 18*j**3.\nAnswer: j*(j - 2)**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3466 - 1717*l**3 + 1715*l**3 + l**4 - 2*l**2 - 2*l**4 to the form i*l**4 + w*l**3 + a + k*l + g*l**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (452658\/(-9))\/(1\/6). Let i = z - -174772. Round i to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46411*m + 11859*m**2 - 139241*m + 46415*m + 46413*m + 0*m + 2*m**2 + 0*m + (-3 + 1 + 1)*(3 - 2*m**2 - 3) in the form o*m**2 + b*m + d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37340*a**2 - 2*a - 37340*a**2 + 74681*a**2 + 2*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26221986383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.5, 15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 42 - 128 = 0. Let c = -10 - w. What are the prime factors of (18\/24)\/(1\/c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**2 - 5*t**2 - t**2)*(-2 + 2*t**2 + 2) + 2*t**3 + 20194249 + 508*t + 4*t**4 - 20194249 to the form l*t**3 + s*t**2 + d*t**4 + c*t + a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1081 + -493. Suppose y = n + 526. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*c - 238*c = 4505 + 2007 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 911278 and 35758.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 78 = z. Suppose -z = -f - f. What is the remainder when 48 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -14332, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 5)*((-3*w + w - 4*w)*(-w + 0*w + 4*w) - 3*w**2 + 2*w**2 + 3*w**2) to the form n + r*w**2 + q*w and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*k + 340*k + 4*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16390*r**2 + 182*r + 1 wrt r?\nAnswer: 32780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55033120 + -1451?\nAnswer: 55031225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**2. Suppose 1 + 3 = 2*v - 2*a, 4*v = 3*a + 6. Let g(m) be the first derivative of v*m**2 + 0*m - 3 - 2\/3*m**3. Calculate g(d(w)).\nAnswer: -98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50474 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/40 and -71\/143092720.\nAnswer: 143092720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2812.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 124*x.\nAnswer: -2*x*(x - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37758436 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r - 3*k - 16 = 0, 0 = r - 2*k + 1. Suppose 22 - 7 = r*d. Let b(i) = -2*i + 46. Let g be b(20). Solve -d*o - g = -9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19746337689 - 0.019\nAnswer: -19746337689.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2285 and 2720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 13*s**2 + 62*s - 397. Calculate i(15).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*p**2 + 3*p - 2*p - p to the form k*p + y*p**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m + 45. Let p(c) = -23*c - 133. Determine 17*i(h) + 6*p(h).\nAnswer: -2*h - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*v + 53*v = 105*v + 528. Let l be 4\/(-38)*(-85 + -2). Which is bigger: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10021538 is divided by 252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let f(j) = 19*j**2 - 2. What is f(b(w))?\nAnswer: 19*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6 and 1\/(-6)*5*(-3731)\/(-2665).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/96*(-35496)\/(-19720)?\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/80 and 93\/23840.\nAnswer: 23840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.07 times -872.545\nAnswer: -1806.16815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + f = -4*t + 32, 3*t - 7 = 4*f. Suppose 6*x - 1200 = -42*x. Differentiate -t - x*z + 0 + 35*z - 17*z wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 3*x**2 - 4. Let w be a(4). Let f be 21*(2 - 16\/w). What is the highest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + q + (2 - 2*q - 2)*(6 - 1 - 3) + (6*q + 0*q - 4*q)*(2 + 1 - 5).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -5\/42*i**7 - 16*i + 10\/3*i**3 + 10\/3*i**4 + 0*i**2 + 1 - 1\/3*i**6 + 3\/4*i**5. What is j in n(j) = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1955, 3655, 5349, 7043, 8743, 10455, 12185, 13939?\n\"Answer: o**3 - 9*o**2 + 1720*o + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20844894 - -40039894. Round p to the nearest 100000.\nAnswer: 19200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1027\/36, 5, -2, 3, -5 in descending order.\nAnswer: 5, 3, 2\/7, -2, -5, -1027\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5 = 3*y, -y - 2*z + 2 = 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -252*v**4 - 213*v wrt v?\nAnswer: -3024*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 190 = 4*c - 954, 286 = c + 2*x. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 5. Let t be y(2). Let q(i) = -i**2 + 7*i + 8. Let r be q(8). Let a be (r + 2 + 1)\/(-1). Put t, 0, a in descending order.\nAnswer: t, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmmmmdmmmm. What is prob of picking 2 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 - (1 - (-4 + 5 + 7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 - 6*v + 25. Give l(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -1409 in descending order.\nAnswer: 10, -3, -1409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (24 + 0 - 7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/128 and -43\/3170?\nAnswer: 202880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -171245 at most as big as -171151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 264003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305041 divided by 2521.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15606, -13782, -11958, -10134?\n\"Answer: 1824*m - 17430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 12*y - 6. Let v(n) = 13*n**y - 675 + 3*n + 674 + 5*n. List the prime factors of v(2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q + 25. Let s(z) = 6*z - 25. Calculate -5*c(g) - 4*s(g).\nAnswer: g - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/10)\/(-12) + 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13959 = -946*u + 460*u + 453*u. Calculate the remainder when u is divided by 411.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-3380))\/(3\/(-45)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53727 is divided by 814.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 9. Let k(h) = h**3 - 5*h**2 + 2*h - 4. Let r be k(5). Let f be u(r). Is f > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by -6.\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -23.62 and -82817318.\nAnswer: -82817341.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 10*i**3\/21 - 428*i**2\/7 - 344*i\/7 + 942. Suppose c(x) = 0. Calculate x.\nAnswer: -2\/5, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 692.7485 days?\nAnswer: 16625.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 11\/13, -1\/3, 0.2, -2\/189, 0.4, 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.9 - 21. Let p = 5 + g. Which is the closest to -2\/7? (a) -0.2 (b) p (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2716a (base 11) to base 3\nAnswer: -1222012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.03 - 47. Let r = 303 - 3335\/11. Sort z, -0.1, r in descending order.\nAnswer: z, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -58, -56, -54, -52?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 273\/(-6) + 4 - (-77)\/(-154). Which is the second smallest value? (a) 1 (b) -1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*h**2*q**2 + 81508*h**2*q - 823*q**2 + 871*q wrt h?\nAnswer: -36*h*q**2 + 163016*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddts when four letters picked without replacement from {d: 2, l: 1, s: 2, t: 1, r: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1896 - -2665. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23898 + -71674\/3. Is r not equal to -0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 777141*x - 777139*x - 24, b + 4*x = 44 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*f + 3*n, -5*n - 12 = 4*f - 5. Let g be (-18)\/f - 1\/4. Suppose a + 47 = g*s + 5, -5*a = -3*s + 70. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760427075 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 454393850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 9*w**2 + 16*w - 19. Let j be u(13). Let l = -1475 + j. Let g = l + 1947. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be -47*1 - (4 + -4). Let a = j + 84. Let u = a + 32. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.828841234 to 2 dps.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 396*h**3 - 1592*h**2 - 1948*h + 40.\nAnswer: 4*(h - 5)*(h + 1)*(99*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekykkkkkkuekeekukk. What is prob of sequence ku?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*y**3 - 4*y**2 - 24*y**3 - 21*y**3 to t*y**3 + o*y**2 + j + f*y and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 6*k - 4. Let r be m(6). Is 109\/(r*(-4)\/16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*m**2 + 2*m**2 + 4*m**2 + 3*m**2.\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhjtt. Give prob of sequence ww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -116497, -112305, -105325, -95563, -83025, -67717?\n\"Answer: -j**3 + 1400*j**2 - j - 117895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:18 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -205850688 divided by 17154224?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 24 + 7 = 0. Put -1, 0, x in ascending order.\nAnswer: -1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-37)\/9 + (-2 - -27)\/5. Let l = 24 + -20. Put 1\/5, q, l in descending order.\nAnswer: l, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3)\/12*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(242))\/sqrt(11))\/(2*sqrt(99)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -10, -7, 2, -1284?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 10. Let d = j - -5. Calculate the greatest common factor of 9 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 20\/13 (b) -0.03 (c) -6 (d) -1\/2 (e) -0.2 (f) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43825 (base 12) in base 14?\nAnswer: 24793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 - 11*x - 12. Let p be r(-1). Sort 49, 5, p in descending order.\nAnswer: 49, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (322040 - 322040 + 262*c)*(-1 - 4*c + 1 + (c - 3*c + c)*(5 - 3 - 4) + 0*c - c + 0*c).\nAnswer: -786*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 31. Let l be y(-23). What is the highest common factor of l and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -368?\nAnswer: -110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 16 = -2*r - p, 0 = 4*p + 12. Suppose z = b + 4*b + 4, r*z = 5*b + 3. Let y = -105\/4 - -213\/8. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.0558 - -401.0308. Let m = 398 - q. Round m to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose -24 = -3*s + 3*g, 0 = -2*s - 5*g + o*g + 12. Solve 4*w - l - 20 = 0, -18 - s = -5*w - 2*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvb when three letters picked without replacement from {b: 2, v: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.66 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 27 = 2*g + 17, -g + 4*g = 0. Solve w - 80 + 83 = -s, -2*w = f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-39) + (-112)\/(-52). Let d(s) be the first derivative of -1 + 53*s**2 + 35 + 6 - 57*s**n. Let w(q) = -2*q**2. Give w(d(b)).\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5\/3))**(-32\/3))**(-32))**(-39) assuming c is positive.\nAnswer: c**(66560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7117155761.99999967 - -7117155709. Let d = -124 + 71. Let r = d - s. What is r rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -102*n**4 + 217*n**2\/2 - 222. Find the second derivative of r(a) wrt a.\nAnswer: -2448*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 j, and 1 v when three letters picked without replacement from {v: 12, e: 1, j: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+1862\nAnswer: 1861.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 53836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 9*c = -7*c, -5*b - 7 = 3*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9592\/47489 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 68*h**2 + 13*h - 28. Let g(x) = -23*x**2 - 5*x + 10. What is 4*b(t) + 11*g(t)?\nAnswer: 19*t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 + -0.2. What is the second smallest value in 0.3, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 - 273 = -n. What is n rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 244, 242, 240?\n\"Answer: -2*x + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 7:18 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 371750 - 5*i**2 - 5*i + 5*i**2 - 74750. Let p be n(0). What is p rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 + 2141*a**2\/2 - 12819*a\/2 + 19215\/2.\nAnswer: -(a - 2135)*(a - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*-2)\/sqrt(2) + 0 - 1*(2*(0 + sqrt(405) - sqrt(405)))**2)*-5.\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*i - 3*s, -24*i = -28*i - 4*s + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 7:01 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 1, v: 1, k: 2, s: 2, b: 1}. Give prob of picking 1 d, 1 k, and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52363.3111 + -52392.3. Let r = b - -29. Round r to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 30*t + 37180. What are the prime factors of (2*-4)\/(52\/t)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 209*c + 30. Determine b(70).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/360 and 107\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147377827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 3. Let k be s(3). Let j(z) = -z**2 - 13*z + 4. Let w be j(k). Solve -28 = -4*q - 2*l, l + 3*l = w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r + 2*r**2 + 21*r**2 + r - 5*r in the form p + z*r + y*r**2 and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2583 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269, -264, -247, -212, -153, -64?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 6, j: 2, c: 2}. Give prob of picking 1 e and 1 c.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (239 + 92 - 55)*(2 + 18 - 3*i - 10) as m*i + w and give w.\nAnswer: 2760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1 + (-1 - 2 + 4)*(2 - 5 + 2))*(-1 + 389*d + 344*d - 566*d) in the form x*d + p and give x.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13407 divided by 656?\nAnswer: 327\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4827*j**2\/4 - 27*j\/8 = 0. What is j?\nAnswer: -9\/3218, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*b**3 + 28*b - 87*b + 33*b + 26*b.\nAnswer: -58*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**6\/d*d*d*d)\/(d\/d**3)*(((d\/(d**(-1\/7)*d*d*d))\/d)\/d)\/(d*d**(-3\/5)*d) assuming d is positive.\nAnswer: d**(201\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 7346*u**2 + 8465886*u + 2919562542.\nAnswer: 2*(u + 631)*(u + 1521)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1910784 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 4\/82921599 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/1784 or 0?\nAnswer: 19\/1784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from qkttt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96549 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1583.5 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38857969781 + 1.2.\nAnswer: 38857969782.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 29*h**2 + 22*h + 28. Let y(f) = -f**2 - 3*f + 1. Let i(o) = 2*s(o) + 14*y(o). Find the second derivative of i(l) wrt l.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/60 + m**3\/3 + 2*m**2. Suppose -1 = -2*r - 3. Let h be (r - -1)\/((-2)\/(-1)). Calculate j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 1653 (c) 0.3 (d) 5 (e) 0 (f) -0.14 (g) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1901385553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 5385 - 5577 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 212, 385, 628, 941?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134 + 40427?\nAnswer: 40273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - 3*t**4 + 3*t**4)*(2 - 124*t + 137*t - 95*t).\nAnswer: -164*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-19431)\/(-2159)*(((-1)\/(-3) - 0) + 2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddwwwvvddvvyywdy. Give prob of picking 1 d and 1 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 174582 times 3?\nAnswer: 523746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1 + -25*42\/(-350).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 28*i**2 + 28*i + 49. Let s be f(-33). Let j = s + -2951. List the prime factors of j.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/10 + 75*c**2\/2 - 21384*c\/5 + 770528\/5.\nAnswer: -(c - 199)*(c - 88)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 385 + -117433\/305. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 9*w**2 + 3*w - 7. Let h be f(9). Let l = h + -18. Let g(q) = 2*q - 3. Calculate g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65 + 217 - 75 - 10*q**2 + 12*q**2 + q to the form k + a*q**2 + w*q and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 28 + (-129 - -83).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -110?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 9*d + 9 = 0. Solve 5*k + 23 = m, 2*m + 23 = -d*k + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.628 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2. Let n(d) = 81*d**2. What is i(n(l))?\nAnswer: -13122*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 3*a**2 + 4*a + 2. Let h be p(-4). Let l = -4.99 - 0.01. What is the nearest to -1 in h, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 5) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 22 + (-6 - -33)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/3725 and 91\/100?\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938136279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z - 44. Let w be j(-7). Let n be w\/(-16)*(-5 - -7)*3. Let 0*x**3 + 3\/4*x**4 + 0 + 0*x + 0*x**2 - n*x**5 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 22*s**2 + 38*s + 14. Calculate the remainder when v(-20) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n - 7*n**5 + n**3 - n + 3*n**4 - 2*n**3 - 3 - 2. Let k(p) = -4*p**5 + 2*p**4 - p**3 + 3*p - 3. Let f(c) = 3*i(c) - 5*k(c). Factor f(j).\nAnswer: -j**3*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*u**2)*(-1738 - 369 - 3510).\nAnswer: 11234*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1*(2 - 1)). Suppose 0 = -2*h - 0 - x. Is 21 a factor of -2 - -5 - (h + -23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -345906536*c**3 + 1078805648*c**2?\nAnswer: -2075439216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1071142 + 736570 = 47*q + 519489. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/3 + 3692356*v + 22154128\/3 = 0?\nAnswer: -5538532, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -13*i + 429. Let d be z(33). Suppose 4*v + 3*g = 9*v - 7023, d = 2*v - 3*g - 2811. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 33?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Suppose -5*o = -6*o + 3. Differentiate 0*i + o*i + 0*i + u with respect to i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))**(-28)*((k**(-1\/2)*k)\/k)**(-8))**(-44) assuming k is positive.\nAnswer: k**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 326.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4170012 divided by 198572.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 divided by -280.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7104 divided by -7104\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 37*g**5\/5 - g**2 + 40*g + 51. What is the first derivative of w(c) wrt c?\nAnswer: 148*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27808 plus -691596?\nAnswer: -719404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1750893 divided by 180.\nAnswer: 583631\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 5*m**2 - 4. Let f be l(-4). Suppose 6*y - 304200 = -f*y. Round y to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -138*x**2 - 252*x + 132. What is the derivative of a(d) wrt d?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 16 = 5*h. Let v be (-2)\/(-9) + h\/36. Suppose -4*o + 12 + 0 = v. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3107*o**2 + 80*o - 834. Is f(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 11*b**2 - 11*b - 5. Let r be h(-10). Suppose 5*t = -r*y + 2275, 1453 = 4*t + 3*y - 362. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*b*s**3*z**2 + 100*b*s**2*z**2 + 3*b*s**2*z + 1916*b*s*z**3 + b*s + 14*s**3*z**3 + 2*s**3*z + 1 wrt z.\nAnswer: 11496*b*s + 84*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -2\/5, 1\/7, -6, -11.4, -151?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**6 - 132*v**5 + 2187*v**2?\nAnswer: -240*v**3 - 7920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 - 32*d**2 - 75*d + 109. What are the prime factors of b(-21)?\nAnswer: 5, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k - 23*k = -258 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 4, h: 2}. Give prob of picking 2 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2689 + -2688. Is k less than or equal to 16\/315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1012120 (base 3) to base 7\nAnswer: -2364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.60804l in millilitres?\nAnswer: 68608.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**3 + 4*n**2 - 6*n + 33. Let q(d) = 12*d**3 + 8*d**2 - 14*d + 68. Determine -3*q(f) + 7*r(f).\nAnswer: 6*f**3 + 4*f**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 724.3 - 713.636. Round n to 1 decimal place.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839733?\nAnswer: 3, 317, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -643\/10 greater than -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -0.012 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 341411.5 litres?\nAnswer: 341411500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/88 and 9\/64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g + 188. Suppose -4*c - 182 = -2*y, -20*y + 3*c + 374 = -16*y. What is the remainder when y is divided by b(19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-20)\/12) - -3. Suppose 7*k + 52 + 32 = a. Find the common denominator of 3\/(-2)*(-4 + k\/45) and 17\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -452160 by -48.\nAnswer: 9420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, and 1 q when three letters picked without replacement from {c: 2, h: 1, k: 4, q: 3, e: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -631.\nAnswer: -631.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*f + 4*f**3 + 4*f**4 + 11*f + 10*f - 2*f**4 + 2 to the form h*f**3 + w*f**4 + r*f**2 + v + z*f and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -341?\nAnswer: -4\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-50)*15*(-4)\/6. Suppose d + 401 = 2*x + 134, -2*x = k*d - 279. Which is greater: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {l: 4, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-70) - (-654)\/14. Calculate the greatest common divisor of g and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 5*h - 4. Let m be b(-4). Put -3, m, 1 in increasing order.\nAnswer: -3, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 22*v**3 - 3*v**2 - 12*v + 33. What is b(2)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 739921 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 451445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -734088*m**4 + 12047637*m.\nAnswer: -8809056*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-33)*(-42)\/(-8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 15*y - 388. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Let a = -100 - -174. Suppose h = 5*c - a - 1. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -307122, -307132, -307148, -307170?\n\"Answer: -3*y**2 - y - 307118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7569458 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3610.837 kilometers in centimeters?\nAnswer: 361083700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*w + 14 = 162*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6637, -6696, -6755, -6814, -6873, -6932?\nAnswer: -6991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21758 - 32178. What is j rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 - 36*n**2 + 4640*n = 0.\nAnswer: -58, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 6*z**2 - 7*z - 7. Let q be o(-3). Let h = q - -72. Let w be ((0\/(-1))\/(-3))\/h. Let t(m) = m**2 - 1. Give t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35110112 (base 6) to base 4.\nAnswer: 10020031130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (56\/(-28) + (-76)\/10)*-140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 9*i - 8. Determine l(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 8*k + 8*k + 17*k**2 - 18*k**2 + 9*k**2. Let d be b(-3). Solve 7*r = -r - d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**4\/7 - 29588*z**3 - 2680961280*z**2\/7 + 2681168400*z\/7 = 0.\nAnswer: -25890, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254916000*n - 254916000*n - 3*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 10*h**2 - 10*h - 8. Let n be p(-9). Let x be (-1)\/n - (-3)\/6. Let r = 4.4 + -4. Which is the third biggest value? (a) -2 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*c**4 - 115304*c**3 + 173076*c**2 - 86558*c + 14428.\nAnswer: -2*(2*c - 1)**3*(5*c + 7214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - s + 83 + 40 + 115.\nAnswer: -s + 238","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*a - 2 = 24, 5*a - 16 = 2*l. Suppose -4*z + 70 = -2*x, 5*z - 26 = 3*z - 2*x. What is the highest common factor of l and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 640\/32 - (10 + 3) - 189\/24.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 2175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:05 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - t - 3*t + (-32 + 11 - 15)*(13*t - 7*t + 0*t).\nAnswer: -219*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0067751 to 5 dps.\nAnswer: 0.00678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414000 and 1200?\nAnswer: 414000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3830 + 5958. Suppose h = 20*h - k. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27980 = -3*f - 5*y, f + 16*y - 18*y - 9334 = 0. Suppose f = 30*i - 15*i. List the prime factors of i.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -999*a**2 + 2*a. Let z be j(-2). What is z rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from abeasbesleelb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13795 + 0.164194. Let d = x - 0.026. Round d to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -11*f + 9. Let k be (-1)\/(-4) + 3\/(-12). What are the prime factors of -3 - k - (-64 - f)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*o + 1930 + 4406 = 0. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183190.6 years in months?\nAnswer: 2198287.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*g - 158*f**3 - 651*f**2*g - 20*f**2 + 2*f*g - 145*f - 15*g - 345 wrt f?\nAnswer: 12*f*g - 948*f - 1302*g - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**5\/7 - 40*f**4\/7 + 128*f**3\/7 - 128*f**2\/7 = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -32. Let a be 2\/q - (-2)\/(-3). Suppose -19*d + 15*d + 3*p - 38 = 0, -4*d - 3*p + 22 = 0. Do d and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 f when three letters picked without replacement from {x: 4, d: 1, u: 3, v: 4, f: 2, p: 3}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4.4. Let p be (-48 + 51)\/(-9*(-4)\/48). Which is the nearest to 0.1? (a) k (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.11 - -1.87. Let s = 4 - o. Round s to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2945*s**3 + 7*s - 2. Let q(g) = -g**3 + 3*g - 2. Let i(v) = k(v) - 6*q(v). What is the second derivative of i(u) wrt u?\nAnswer: -17634*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51300 divided by 25650?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 17 - 5 = -3*l, -j - 2 = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1935 and 1752102?\nAnswer: 376701930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/22 + 3)\/((-6)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwxdxkwewkxwwwwdeex. Give prob of picking 1 e, 2 x, and 1 w.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/12 - (-45)\/(-30). Which is the nearest to -3? (a) z (b) -0.3 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/18)\/((-4)\/60*5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, c: 2, p: 1}. What is prob of sequence cpuc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**5\/5 + 21138*o**4\/5 - 12627*o**3 - 1774032*o**2\/5 - 5661852*o\/5 - 1014192 = 0?\nAnswer: -5, -2, 12, 7043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*9940\/63840*57?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - (1 + 3 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f**3 + 5*f**2 - 6*f + 5. Let i(l) = -8*l**3 + 4*l**2 - 5*l + 4. Let s(q) = -4*d(q) + 5*i(q). What is the second derivative of s(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*k + 49 = -4*k, -2*x + 3*k = -30. Let j(a) = -a**3 + 9*a**2 + 2*a - 4. Let g be j(x). Calculate the highest common factor of g and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 903, 1809, 2725, 3657, 4611, 5593, 6609, 7665?\nAnswer: 8767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 81.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.8738 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/4671 and 109\/942504?\nAnswer: 8482536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66410609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 23. Let v = -14.99971 + a. What is v rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2654 - 4?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-25)\/(n**(-12\/7)*n) assuming n is positive.\nAnswer: n**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, -2, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7762*o - 34348 + 34348 to the form z*o + l and give z.\nAnswer: 7762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yayajayayyayayayyya. What is prob of sequence aaa?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(4))**2 + sqrt(10)\/sqrt(80) - (((sqrt(126) - (sqrt(126)*-2 - sqrt(126)))*-4)\/sqrt(7))**2) + 4.\nAnswer: -4554 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 24*t + 89 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - (-15 + -12 + 38)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 2*q - 13, 5 - 15 = -3*q - 5*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -99 (b) 34\/7 (c) -4 (d) 5 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-1512)\/(-210)*15\/9 + -10)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8112 and 142974.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-3))\/((-28)\/3)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4 - 79*l**2 - 3*l - 79*l**2 + 5*l + 157*l**2. Let f(h) = 4*h**2 - 6*h + 11. Calculate -3*f(j) - 8*i(j).\nAnswer: -4*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 5:19 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-632 - 2008 - 88 - 82)*(9*n**2 - 2*n**2 - 2*n - 8*n**2 + 6) to the form f*n + x + k*n**2 and give k.\nAnswer: 2810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 99*s + 10*s - 1128564. Is 174 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 16) in base 7?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**2 + 8 - y + 2*y - 5*y. Let j be h(5). Let a be (-4)\/22 + j\/33. Solve -a*d = 4*v - 5*d + 21, -2*v = -4*d + 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w = 4. Is w\/(-22) - (-768)\/11 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - k = -51, k = 3*u + 3*k - 37. Suppose 0 = -m + 4*v - u, -3*m = -0*v - 3*v + 3. Suppose m*f + 5 = 4*f. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 36\/5*r**2 - 29 + 3\/5*r**3 + 2*r - 1\/30*r**4. Solve z(x) = 0.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*s**2 - 32*s + 28*s**2 - 4*s**2 - 9*s**2 wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 17*k**8\/56 - k**5\/20 - 11*k**4\/2 - 51*k. What is the third derivative of h(i) wrt i?\nAnswer: 2040*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -418348 and 93?\nAnswer: -38906364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/14)\/((-12)\/48)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-21) + (-1)\/4. Let t(m) be the second derivative of 1\/20*m**5 + y*m**4 - 1\/6*m**3 + 0 - 2*m + 0*m**2 - 1\/30*m**6. Factor t(q).\nAnswer: -q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272088737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48 - -1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + t - 348, -5*t = -3*g - 89 - 133. Let b = -87 - g. Let p be b*(0 - (-4)\/(-6)). What is the highest common divisor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747915806.\nAnswer: 2, 11, 73, 465701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -7.7. Let d = -4 - l. What is the nearest to -0.1 in 2\/23, d, -1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-10))\/((4329\/(-546))\/(-111)) + 1\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 13178*v**3 + 118710*v**2 + 356238*v + 356292.\nAnswer: -2*(v - 6598)*(v + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -26*r - 11. Let z be u(-2). Let f = z + -25. What is the highest common divisor of f and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22254210478646959536 + -22254210357886537380.00000249. Let z = l + -120760422728. Let r = -572 - z. What is r rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*y - 6980, -3*y + 5224 = -2*h - 3*h. Let z(p) = 2*p - 6*p**2 + p**3 + y - 1748. Let s be z(6). Solve 0 = 3*v - 6*v + s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (24 - 31) + 0 + 0 + 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107794760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9 + 1\/(-2)*-8. Sort -0.4, w, -2\/7, 5 in decreasing order.\nAnswer: 5, -2\/7, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1901803 to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -80*b**5 + 200*b**4 + 475*b**3 + 50*b**2 - 125*b + 20 = 0.\nAnswer: -1, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 3*k**5\/20 + 17*k**4\/12 + 5*k**3\/6 - 7*k**2\/2 - 97*k. Let x be n(-5). Solve 3*w = -3*o - 0*w, 4*w - x = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*o + 1151*o**3 - 32*o - 2303*o**3 + 1151*o**3 - 36*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 8254*t**2 + 173677*t - 810950.\nAnswer: -(t - 14)*(t - 7)*(t + 8275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17347 and 996?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.9000127 - 25.9. What is b rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 13. Let h be (-4322961)\/15 - z\/(-10). Let j = -301802 + h. What is j rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y - 605287 = 168*y - 5862682. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -2452559?\nAnswer: -2452556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93aa12 (base 11) in base 13?\nAnswer: 40a476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111010001 (base 2) to base 14.\nAnswer: a2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 258150115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b**3 + 6*b**2 - 21*b - 16. Suppose 96*c = 106*c - 110. Let f(r) = 2*r**3 - r**2 + 4*r + 3. Determine c*f(s) + 2*x(s).\nAnswer: 2*s**3 + s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 + -76. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.1. Let y = 99\/148 - -3\/37. What is the second smallest value in x, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 360\/(-27)*6\/(-4). Suppose -15*c = -q*c + 210. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) + (sqrt(132) + (sqrt(132)*1 - sqrt(132))*1 - sqrt(132)))*2)\/(-2*(sqrt(11) - (sqrt(11) + sqrt(44)\/sqrt(4)))*-2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 1, d: 1, j: 2, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 4. Let b be g(0). Let d(o) = 5*o + 7. What is the units digit of d(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p**3 + 3*p**2 + 8*p - 3. Let q(r) = -7*r**3 - 2*r**2 - 7*r + 2. Calculate 3*q(t) + 2*u(t).\nAnswer: -7*t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 10*j**2 - 764*j - 461. Let x be h(77). Which is the closest to x? (a) 1 (b) -6 (c) 58 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -5, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1016 and -26\/889.\nAnswer: 7112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46*((-18)\/(-4) + -3). Let v = j + 40. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/3)\/(p*p**(-3\/4)))\/(p**(-3\/4)*p)**(-44) assuming p is positive.\nAnswer: p**(145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 129581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2\/7 - 4618356*u\/7 - 2666151517842\/7 = 0.\nAnswer: -1154589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011111 - -110110000110?\nAnswer: 110011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728 is divided by 171?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 2. Let g be q(2). Let l(d) = -d**2 - 32*d + 16. Let u be l(-32). Does 18 divide (u\/(-24))\/(g\/(-57))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11659 + 0.14?\nAnswer: 11659.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 2*q**3 - 25419*q**2 - 30*q**4 - 9 + 2*q + 25468*q**2 to m*q**3 + h*q**4 + a + y*q + n*q**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84876)\/192900)\/(-1*11)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871.43742 microseconds to weeks.\nAnswer: 0.00000000144086875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 g when three letters picked without replacement from {q: 5, g: 15}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/8 + (-18)\/(-24). Suppose 0 = -2*w + 4*w + i*s - 35, 3*s = w - 40. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4 - 3*r**3 - 13*r**2 + 51*r - 36 = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -107*d. Let z(n) = 24*n - 1. Give z(r(a)).\nAnswer: -2568*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 1, c: 9}. Give prob of picking 1 c and 1 b.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 1. Determine o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3 + 75*o**2 + 249*o wrt o.\nAnswer: 6*o + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1223*s - 441 + 441.\nAnswer: 1223*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 2, -0.116, 0, -3, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1.6. Let m = -12 - -7. Which is the second smallest value? (a) r (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20255, -20284, -20333, -20408, -20515, -20660, -20849, -21088?\n\"Answer: -c**3 - 4*c**2 - 10*c - 20240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) - 4210\/14. Let a = w - -141. Calculate the common denominator of 6\/15 + 274\/a and -99\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3278 - 834 = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 + 124.7.\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/700377 and -4\/471?\nAnswer: 700377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*c + 20*c**2 - 472728*c**4 + 472727*c**4 - 9*c**2 as p*c**2 + s + j*c**4 + f*c + g*c**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from ooho?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**2\/2 + 12. Let z(a) = -6*a**2. Calculate t(z(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3299070 + 5?\nAnswer: 3299075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {y: 2, i: 3, h: 2, s: 1, o: 2, r: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2620 + 214 = -401*o. Calculate the highest common divisor of 7122 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + 76. Let h = -199 + c. Let l(u) = 4*u - 3. Let v be l(5). Solve -h*x - 2*p - 9 = v, 5*x + 3*p + 29 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14142.94 and -5?\nAnswer: -70714.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 143b971dd + -3?\nAnswer: 143b971da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*j = -t - 242, t - 94 = 4*j. Suppose -24 = -2*x - 4*a, 4*a = -5*x - 0*x + t. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (1357 - -3) + (3 - 5 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 39. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/7)*s))**(-1\/10) assuming s is positive.\nAnswer: s**(1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5275992 divided by -2936\nAnswer: -1797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - 183*x + 2621. Let t be c(12). Let z(j) = j + 4 - 4*j - j. Give z(t).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*((-10)\/(-2) + -4). Let y = -9 + l. Is (-6 - 214\/(-6))*(10 + y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3 - 30*l**2 + 54*l - 26 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)\/((w*w**(-32))\/w) assuming w is positive.\nAnswer: w**(127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 2 - 10 - 0. Let l = -6 - u. Suppose -l*d + 12 = -2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 616516*d - 2466000.\nAnswer: -4*(d - 154125)*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 20 (c) -0.1 (d) 531\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o + 4. Let k(s) = 21*s - 21. Suppose y - 4*c = -17 + 2, y + 3*c = 20. Let j be (-4 - -3)\/(y\/10). Determine j*k(h) - 11*d(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(0 - 2 + 0)*(-6548*d + 20150*d - 7332*d) as y*d + m and give y.\nAnswer: 12540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 17) + (-5 - -1) - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -14.5. Suppose 0 = -5*a - 5*c - 25, 3*a + 2*c + 3*c = -15. What is the smallest value in m, 4, -1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 i, and 1 t when three letters picked without replacement from {t: 4, q: 1, x: 12, i: 2}?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26676358 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q - 4*h = 29, 4*q - 36787 = -4*h - 36831 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(5*u - 2*u - 5*u) - 2*u + 5*u - 2*u - 1 + 1 - u + (-8 + 6 + 0)*(0 + 2*u + 0).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5768295.19.\nAnswer: 5768299.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -442343303 (base 6) to base 7\nAnswer: -124444206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 3236 - 164 = 0. What is the lowest common multiple of 192 and p?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67253\/17715 + 19\/16534. Let c = o - 4\/105. What is the common denominator of c and (-1 + (-90)\/(-33))\/(0 - -3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24538.1022us in days?\nAnswer: 0.0000002840058125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1414*v + 1424*v = -70 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002030066 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011 (base 2) in base 5?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 + -78. Let u be (-7)\/3 + (-2)\/(-6). Let i be (4\/(-40))\/(u\/8). Which is the smallest value? (a) i (b) -3\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4674996496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huh when three letters picked without replacement from {h: 13, u: 6}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-3\/2)*a*a))\/a**(3\/7))\/(a**(-1\/4))**(-48) assuming a is positive.\nAnswer: a**(-167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11*(m*m**(9\/2))\/m)**22 assuming m is positive.\nAnswer: m**341","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17651971 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20283, -81124, -182427, -324114, -506107, -728328, -990699?\nAnswer: -1293142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = 4. Let i be 95 + a\/((-15)\/9). Calculate the greatest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -418, -615, -792, -943?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8611*v**2 + 6812*v wrt v.\nAnswer: 17222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -395998\/23 - -17226. Let c = 691\/230 + u. Find the common denominator of (-6)\/12*(171\/60 + 2) and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5614310 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 5 - (19 - (21 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 8*w - 37. What is u(7)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, 1, 8, 19, 34, 53?\n\"Answer: 2*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5812 (b) -3 (c) 77 (d) -13 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11974, 11864, 11732, 11584, 11426, 11264?\n\"Answer: z**3 - 17*z**2 - 66*z + 12056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Suppose 5*l + 2*u - 4 = c, 0 = u - 1 + 4. Let r = 4487 + -4483. Solve -r*z + 2*z = l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1064674570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 25659 = -5*q, 78*k + 20556 = 4*q + 74*k. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 12*t**2 - 14*t - 21. Let q be k(7). Suppose -120*x - 2760 = -q*x. What are the prime factors of x?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 rounded to 1 dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 2373957?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-69)\/(-46))\/(3\/(-4)). Let s = 0.84 - 0.19. Let l = s + -0.25. Which is the third smallest value? (a) u (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10462 or 10461?\nAnswer: 10461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23661 and 315?\nAnswer: 7453215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = 18*p + 76. Suppose -r - p = -5*g, 5 = 2*g - 3. Solve 2*h - r = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -394198.\nAnswer: -1\/197099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/14 - -16\/7. Suppose -3*g - 5 - 1 = 3*p, -3*g = 4*p + 9. Factor 2*d**2 + g - 1\/2*d**3 - k*d.\nAnswer: -(d - 2)*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.5 and 45 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/8)\/g**15*(g*g\/(((g*g*g\/g**11)\/g*g)\/g))\/(g*g*g**1\/g*g*g*g) assuming g is positive.\nAnswer: g**(-67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) -13.5079 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-1) + 7975\/(-40). Let i = p + 202. Does i = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**5 - 21742*t**4 + 21746*t**3 + 65224*t**2 - 108713*t + 43486 = 0.\nAnswer: -21743, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from csrcyyppcyc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-8))\/((-668)\/(-167))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-9*1\/36*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*s**3 - 20105*s**2 + 45145*s - 10030.\nAnswer: 5*(s - 1003)*(s - 2)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + g. Let u(q) = 5*q**2 - 7*q - 3. Let v(n) = 6*k(n) + u(n). Let s be v(-4). Let t = s + 27. Calculate the least common multiple of t and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472 = 23*g + 610 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74297, 74295, 74293, 74291?\nAnswer: 74289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 12\/13, 0.4, -2 in descending order.\nAnswer: 12\/13, 0.4, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4189 (b) 5 (c) -1.795\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2075*v - 6172. Suppose -5*g - 6 - 4 = 0. What is the remainder when m(3) is divided by (30 - 3) + (-2)\/g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/(-44)*(-3)\/((-882)\/(-224))*(-10)\/12?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 6*q**2 - q + 7. Let s be y(6). Solve -2*d - s = 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 - (-14)\/(-4). Let t(f) be the first derivative of -f**4\/4 - 5*f**3\/3 + f**2 - 4*f - 10. What is the common denominator of -77\/4 and t(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-2)*(512\/4 + 21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/18*9 - 71\/42. Let a = m + -1\/7. What is the second biggest value in -1, 0.4, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/5 - 4010\/(-50). Let a = l - 81. Suppose 22*o - 25*o + 1587 = a. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**3\/3 - o**2\/2 - 14. Let r(i) = 5*i**2 - 5*i - 2. Determine -3*g(y) + r(y).\nAnswer: 2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.417, -1\/47?\nAnswer: -0.417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x - 23. What are the prime factors of g(-14)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 15*r, 0 = 4*m + r - 688. Let x = m + -53. What are the prime factors of x?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-532)\/(-3876))\/((-6)\/102)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1 + 2*h**3 + 0 + 4*h**3 - 2*h. Suppose 5*d = -5*s, 3*d - 6*s + 5*s - 4 = 0. What is z(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -175.241 and 2.\nAnswer: -173.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1200 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*s - 3*s. Suppose 36910 = -s*h + 10*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 18209\nAnswer: 91045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (17 + -41 + 20) - ((4 - -3) + 1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 415 and 0.311?\nAnswer: 129.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h - 2*y = 4, -4*h - 2*y + 14 = 0. Suppose -h*p = -9*p + 6630. Is p\/(-40)*(-5 + 1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3131202 + -3?\nAnswer: 3131133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 5*k**3\/3 - 45*k**2 - 95*k - 14. Let f(p) = -p**2 + 15*p + 16. Let h(a) = 25*f(a) + 4*v(a). Factor h(x).\nAnswer: -5*(x - 4)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 68. Solve -2*b = 4*q - 0*b + 4, 0 = q - p*b + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 1. Let q = 3515 + -3515. Let z(i) = -i**3 + 16*i**2 - 17*i + 24. Let w be z(15). Which is the nearest to q? (a) o (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 504 and 11304.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681 + (-4)\/1 - 24\/4?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/70 and -22\/26515.\nAnswer: 371210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o**2. Let y(v) = 6*v + 28. Give y(k(j)).\nAnswer: 54*j**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 3f1?\nAnswer: 3ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 + -79. Suppose 0 = -u*i - 2*i + 165. Let r(z) = -5*z**2 - 34*z + 10. Let b be r(-7). What is the greatest common factor of i and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 8293.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 0*u**2 + 2*u**2 + 4 - 4. Let s(a) be the first derivative of -a**6\/120 - a**3\/3 - 2. Let k(v) be the third derivative of s(v). Determine g(k(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 39269623 times 0.13\nAnswer: 5105050.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -238 - -282. Suppose -4*q = 3*u - n, q - 4 = -q. Let k = 5 + -2. What is the highest common divisor of u and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2708 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*d - 1606, 6*d - 3*d + 1260 = 4*m. What is the remainder when m is divided by 302?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 3*w**2 - 4*w + 1. Give s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i**(1\/8)*i**(8\/3)*(i**(-5\/6)*i*i*i*i*i)\/i**(2\/39) assuming i is positive.\nAnswer: i**(3091\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + -2. Suppose -4*x - 107 = 81. Let s = x + v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**22\/((i**37\/i)\/i) assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17457.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11750640 divided by 22255\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/4 (b) -2\/7 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -39. Suppose -2*z + i*z = 546. Suppose -4*q + z = -q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 3*a**2 - 3*a. Let j = -3 + 1. What is the least common multiple of h(j) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 1817 + 0*y + 1832.\nAnswer: 2*y + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -14*a**3 + 5*a**2 + 9*a + 11. Let r(f) = -42*f**3 + 16*f**2 + 26*f + 36. Determine -13*l(z) + 4*r(z).\nAnswer: 14*z**3 - z**2 - 13*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 45438 + 44222 = 75*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 3. Suppose -s - d = -5*a, 4*s - 42 = 4*a - 2*a. Let z = 3 + 2. Solve z*t - s = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -22) + (9 - 18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.98416 rounded to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -8. Put 3, 5, q, -2 in descending order.\nAnswer: 5, 3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -501932*(-12 + (-752)\/(-64)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 18 = 27*g. Let p be (g\/5)\/(((-228)\/600)\/19). Solve 7*m - p = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -147 - -279. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*k - 2*k. Suppose 2*d - k = -d. Suppose -5*x + 4*n + 105 = -6, 8 = -d*n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547139*d + 547122*d - 1003 = 0 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 5418?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14197927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6*a = -3*a - 683, -4*l - 3*a + 1381 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 48, 81, 118, 159, 204?\n\"Answer: 2*t**2 + 23*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/(4\/650*13)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 969 = 18*d. Let a = 74 + d. Suppose 47 - a = 6*c. Solve 10*u - 5*u = -c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 4) to base 15.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 11593 = -5203. Let x be (-60)\/15 - 38\/(-1). Calculate the highest common divisor of m and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (5 + -8 - -9). Is l smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -343*k**4 - 144 wrt k.\nAnswer: -1372*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537?\nAnswer: 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, -30, -86, -176, -306, -482, -710, -996?\n\"Answer: -y**3 - 8*y**2 + 3*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 5*g - 7. Let y be m(5). Let l(n) = 4*n**2 + 0*n**2 + 3*n - 808 + 5*n**2 + 816 - n**2. Is l(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -46. Suppose 0 = -3*t + 5*y + 10, h*t + 0*y = y + 9. Suppose 2*c - 1577 = -2*c - u, 15 = -t*u. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 240 = 4*r. Let z be (5 - (-156)\/r)\/(1\/(-2)). Let k = 60\/11 - 251\/44. What is the closest to z in -1\/9, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5, 0 = 5*w + 2*y - 0*y - 60. Let m(i) = -3 - 6*i - i**3 - 6 + 8*i**2 + w. Does 4 divide m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/51829 or -0.01?\nAnswer: -6\/51829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95975, -95936, -95829, -95618, -95267, -94740?\nAnswer: -94001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.82336068 to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001 + 100?\nAnswer: -10100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50767*b**4 + 14*b**2 + 5141601*b?\nAnswer: -609204*b**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110204 + -11302204?\nAnswer: -11412413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -17*d**3 + 2*d**2 - 8*d - 10. Let x(h) = -16*h**3 + 2*h**2 - 7*h - 8. Calculate 4*w(p) - 5*x(p).\nAnswer: 12*p**3 - 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73\/3 + -24. Let t = 2708 - 2725. Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 415103*v**2. Let y(k) = 2*k. Determine i(y(p)).\nAnswer: 1660412*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1249\/3 - 2753\/6. What is the common denominator of s and -95\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4510471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36541 + 36566 = -3*o - 5*z, -12 = -12*z for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841 = -1245*h + 45661 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 = 0, -5*b + 8*b - c - 19678 = 0. Is 109 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(3\/8) - 104*26\/(-208)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*t = 2*t - 26, -3*t = 5*o + 65. Let p = 8 + o. Let d(q) = -6*q - 5. Let n be d(p). Solve -3*m - i - 1 = 0, 8*i = 3*i + n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b**2 + 3 + 4 - b**2 - 10.\nAnswer: -32*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*p + 41 - 18, -2*p = 5*n + 11. Solve -k - 4 = -3*q, -8 = -p*q + 2*q + 3*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8678, -10, 0.3, -1.5, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**6\/30 - 73*d**4\/12 - 17*d**3\/6 + 15*d + 2. What is the second derivative of o(k) wrt k?\nAnswer: 12*k**2 - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*57*10\/(-15). Let x = -21 - i. Suppose -2*k - a = -33, -2*k = -a - x - 26. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -1\/61 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - 9*(-6)\/12. Solve -4\/5*v**5 + 0 - 2\/5*v**l + 12\/5*v**3 + 4\/5*v + 14\/5*v**2 = 0 for v.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6470 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: Suppose 20 = -4*i + 5*s, -14 = 3*i - 4*s + 2. Let x(o) = -o**2 + 16*o - 56. Let m be x(10). Let u be (0 - 3*m\/12)*-4. Sort 5, i, u, -4\/15 in ascending order.\nAnswer: -4\/15, i, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 24 = t - 9, 4*t = 5*y. Let b(c) = -14*c - 10*c + 1 + 8*c - y*c. Determine b(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, u: 2}. What is prob of sequence ukkk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -221 + 228. Let x(r) = -187*r**2 - 34*r - 9. Let g be x(j). What is g rounded to the nearest one hundred?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7264 and 1916561?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -39*p**2 - 5*p - 2. Let y(d) = 20*d**2 + 3*d + 1. Give 3*j(q) + 5*y(q).\nAnswer: -17*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1566004 (base 7) to base 9\nAnswer: -362221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Let j be (-2)\/9*(1 - r). Which is bigger: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 97, 132, 165, 196, 225, 252?\n\"Answer: -b**2 + 38*b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167618862 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -528, -942, -1250, -1398, -1332, -998?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 0*b**5 - 3*b**5 + (1 + 0 + 0)*(-169*b**2 + 169*b**2 - 20*b**5).\nAnswer: -21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - 3 + 4*n + 2 + (3 - 2 + 1)*(73 + 13*n - 73).\nAnswer: 27*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05092748 to three decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-690)\/161*(-2345)\/(-134).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3183 + 3149 - 6497 - 3*u as z + t*u and give z.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6154137 divided by -3.\nAnswer: 2051379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145 - 145 + 944*h**2 + 981*h**2 + 289*h**2 to f + j*h + r*h**2 and give r.\nAnswer: 2214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/8 - 73107*b**2\/8 - 13926621*b\/8 + 13999727\/8 = 0 for b.\nAnswer: -191, 1, 73297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571*s - 115688 = 563*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362161603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1954184.86181 less than 14?\nAnswer: 1954198.86181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 2*m**2 + 2*m. Let x(n) = -n**3 - 5*n**2 - 44*n. Calculate -2*l(p) - x(p).\nAnswer: -p**3 + p**2 + 40*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457095561 is divided by 14316?\nAnswer: 14313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 101223?\nAnswer: 101233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t. Let x(l) = -6823*l + 263. Determine m(x(d)).\nAnswer: 61407*d - 2367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 239 - -106) + 40?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2474*v + 105198*v + 69472*v.\nAnswer: 172196*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19335361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10428660 by -4.\nAnswer: 2607165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 4*t = -192. Suppose 0 = -t*g - 2*g. Solve g = m - 3 - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:24 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129003550.\nAnswer: 2, 5, 13, 23, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/49))**48 assuming m is positive.\nAnswer: m**(2256\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*v + 282*v = 3*l - 63, 4*v + 12 = 0 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 31, 39, 33, 7, -45, -129, -251?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j + 64. Suppose 55 - 25 = 3*g. Let m be f(g). Let y = 18 + -10. Solve -y = -m*k + 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 11:51 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*h**2 + 8*h**4 - 12*h**2 + 4*h**2 + (-1 + 3*h + 1)*(2*h**3 + h**3 - h**3).\nAnswer: 14*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 17 = 7. Suppose -r*o + 165 = -5*n, 0 = n - 2. Calculate the remainder when (-1175)\/(-17) + 11\/((-2805)\/30) is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 12406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 24*z**2 - 545*z + 393. What is q(22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2\/11, 0.276, -133.\nAnswer: -133, -1, -2\/11, 0.276, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 5*r + 20, -6*s = -8*s - 5*r + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 75*d + 60. Let y(k) = -25840 - 5*k - 7*k + k**2 + 25820 - 13*k. Let p = -3 + 20. Let t(g) = p*y(g) + 6*o(g). Factor t(b).\nAnswer: 5*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*7\/(-56)*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500*a**2 + 21 - 63 - 496*a**2.\nAnswer: 4*a**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 6.9.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(102)\/sqrt(12) + sqrt(34))\/(sqrt(8)\/(sqrt(4)*2)))**2.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 986 + -984. Solve -f = -4*h + 19, f + 3*h + z*h = 26 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l = 16760 - 4748. Let f = 467 - l. Solve 6*o = 7 + f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1, -5, -4 in decreasing order.\nAnswer: 1, -1\/8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28b - -3?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 39*r - 112*r + 90 + 35*r + 36*r. Let b(m) = m**2. Determine b(i(n)).\nAnswer: 4*n**2 - 360*n + 8100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2266, 4471, 6652, 8797, 10894?\nAnswer: 12931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 2. Let d be y(14). Let x be d\/(-144) + (-1)\/(-3). Are -7 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1 - 3*s**3 + 2 - 2*s + 1 - s**2 - 4*s**2. Suppose 4*r + 5 = -15. Let l(y) = 7*y**3 + 11*y**2 + 5*y - 8. Let f(c) = r*w(c) - 2*l(c). Factor f(g).\nAnswer: (g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39188 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooydxof. What is prob of sequence oox?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*b + 40. Find the second derivative of -4*z**5 + 6*z - 4*z + b*z**5 wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/99935 and -61\/86900.\nAnswer: 1998700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(190) + 2*sqrt(190)) - sqrt(190)*-3*-3)\/(sqrt(10)*2*-6 + sqrt(10) + sqrt(10)*-1*-2).\nAnswer: 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*g + 2 - 166*g - 86*g**2 + 81*g to the form y*g**2 + n*g + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 + ((-63)\/(-12) - 3). Factor 2\/5*w**3 + 0*w**i + 0 - 1\/5*w**5 + 0*w**4 - 1\/5*w.\nAnswer: -w*(w - 1)**2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -5, -2, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 33159695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.69404 and 2.\nAnswer: -1.38808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5269057?\nAnswer: -1\/5269057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 124*t + 39. Let y be g(-5). Let x = 904 + y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -9*a - 21*a. Let c be (13\/((-39)\/a))\/(1\/63). What is c rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70823525 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/3 + 5*b\/3 + 4\/3 = 0. Calculate b.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 142*a**2 + 17*a - 30. Let l be y(-10). What is l rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 24*o + 447. Let k be h(-2). Solve 2*x + k = 403 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 10*d**2 + 9*d + 3. Suppose 4*z + 45 - 9 = 0. What is the units digit of b(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/506 and 101\/388?\nAnswer: 98164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7347663 is divided by 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40 + -b465e?\nAnswer: -b469e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000046345 divided by -5?\nAnswer: -200009269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2. Let k(r) be the first derivative of r**3 - 11*r**3 - 88 + 75733*r - 75733*r. Calculate k(p(s)).\nAnswer: -480*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-4*v**3 + 2*v**3 - v**3) + (-2*v + 3*v - 4*v + (-4*v + 4*v + v)*(-5 + 2 + 4) - v + v + v)*(-3*v**2 + 5*v**2 - v**2).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, k: 1, f: 2, c: 1, q: 7, w: 4}. What is prob of picking 1 x and 1 q?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 510 = 7*n - 4*f, 2*n + 5*f = -171. Let h be (-42)\/n*(-21)\/(-12). Which is the closest to 1\/4? (a) -2 (b) h (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(156) - sqrt(156)*-3))\/((sqrt(72) - sqrt(72)*-3)\/sqrt(6)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80cb (base 13) in base 3?\nAnswer: 220100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -5\/719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6893 (base 10) in base 12?\nAnswer: -3ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 4*c**2 - 7*c - 6. Let r be h(-5). Suppose -r*a + 85 = -11. Calculate the greatest common factor of a and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + 5 + sqrt(1872) + 1))**2.\nAnswer: 1728*sqrt(13) + 17424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 18. Give r(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 3) + 1 + 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + (-32 - -59) + 22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83415023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101010100 (base 2) to base 9.\nAnswer: -3872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 8*k**2 - 8*k - 8. Let w be r(-7). Let d be w\/((-20)\/8 - -3). Sort 5, d, -3 in increasing order.\nAnswer: -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**5 + 58*g**4 - 191*g**3 + 214*g**2 - 20*g - 56 = 0.\nAnswer: -2\/5, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 131841*l - 131831*l - 36, 15 = -3*l for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 3:01 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -292837 divided by 2?\nAnswer: -292837\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 4*d + 4. Let b be g(3). Let u(n) = 0 - 4*n**3 - 15*n + 1 + 24*n - 11*n. What is u(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -14, 345 in decreasing order.\nAnswer: 345, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + n - n + 0*n + 24*n**3.\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o**5\/5 - 826*o**4\/5 + 38456*o**3\/5 - 674232*o**2\/5 + 3385408*o\/5 - 1968512\/5 = 0 for o.\nAnswer: 2\/3, 7, 26, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 3*v - 5*v - 2*v. Let k be i(4). Which is smaller: -11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 2652940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010100011100110 + 0?\nAnswer: 110010100011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1226 - 684. Let g = s + -506. Is -0.1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 28 = m - 26, 3*m + 6 = 0. Solve w = -32*i + 38*i - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23020613 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*j - 24 = 0, 3*j + 15 = -5*x - 2*j. Let m be ((-207)\/x)\/((-3)\/1400). Round m to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*v = 5*a - 72, a = -5*v + 92. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 48579\nAnswer: -14573.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.5, -3, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 4*b - 1. Let n = -15 - -11. Let g = n + 10. Suppose d + g = -d. Give x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*g + 17095 - 5408 + 7417 = 0 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-42)*(-1188)\/(-1122)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - r + 2 = x, 0 = -4*x + r - 2. Suppose x = -6*n - 32 + 140. Suppose -n = -2*f + 112. Calculate the highest common factor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*d**5 - 2\/9*d**2 + 2\/9*d**3 + 0 + 2\/9*d**4 + 0*d.\nAnswer: -2*d**2*(d - 1)**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 13 = -2*l + 50, -l - m = -24. Let z = l - 14. Suppose 0*h - 3*x = -2*h + 25, 5*h = z*x + 50. Solve -h = -2*o - 1, -5*k + 19 = -3*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1694 - -10193\/6. Find the common denominator of c and 97\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31\/7, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-324))\/(2\/6). Put -1\/2, 0.3, -2, c in decreasing order.\nAnswer: 0.3, c, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - (-84)\/(-18))\/(4\/240). What is the highest common factor of a and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18670, 18857, 19174, 19627, 20222, 20965, 21862?\nAnswer: 22919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 30 = z - 4*q, -5*q = -2*z - 35. Let n = z - -8. Suppose -15 + 30 = -3*y + 7*f, 0 = -4*y + f + 5. What is the remainder when n is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 14.143845 months?\nAnswer: 1.17865375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p - 111. Let i(j) = 2*j**2. Determine i(u(v)).\nAnswer: 162*v**2 + 3996*v + 24642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10041962.\nAnswer: 2, 7, 43, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {h: 6, x: 9, i: 2, r: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*g + 208*g - 62*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6440)\/34408 + 4\/11. What is the nearest to -0.1 in p, -0.05, -0.02?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-12*((0 - 5) + 55). Let k = o + 611. Suppose 0*b + 4 = 2*b. Solve -2*j - 33 = 5*w, j + 3 = -b*w - k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Let v(r) = 44*r**2. Give 33*m(b) - v(b).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -15*k - 55. Let q be y(-4). Solve m - 20 = -0*m + q*t, 3*t = -15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5*h + 2*h - 4.\nAnswer: -3*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 2*f**2 + f - 4. What is v(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8901 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 82315281 to the power of 1\/2, to the nearest integer?\nAnswer: 9073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 3*k + 0*k - 9)*(0*k - k + 2*k).\nAnswer: -k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -49*l**3 + l**2 + 3*l. Let k be d(-3). Let u be (k\/36)\/(7\/(-4) - -2). Suppose 4*z + u = 7*z. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1. Let l(u) = -3*u + 2. Calculate -3*l(s) + 6*v(s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1845*f**2 + 343*f**2 - 73*f**2.\nAnswer: 2115*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 13 = -5*d, -d + 5*d + 9 = 3*y. Let h be 8 + 2 + -3*(-1)\/y. Sort 0, h, -8 in descending order.\nAnswer: h, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x + x. Is 2 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -6. Let g(u) = -u**3 + 41*u**2 + 4*u - 156. Let j be g(41). Solve -v - h = -w - 5*v, 4*v = j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13) + (2*sqrt(65))\/sqrt(5))**2*3.\nAnswer: -36*sqrt(13) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -42 + 42 - j. Let f(v) = v. Determine f(n(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k + 6 = 0. Let w be k\/3 - 7\/(-3). Suppose o = -o - 4*v + 32, 3*o - 48 = w*v. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11\/5, 2\/11, -503, -6 in decreasing order.\nAnswer: 11\/5, 2\/11, 0, -6, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z - 34610 + 196502 = 0. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 11:37 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 179012843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.1 + -10.4. Let m = -0.2 + 0.1. Let y = p - m. Round y to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 t, and 2 a when four letters picked without replacement from uatuutau.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-232)\/280 + 4\/10. Let f = -5.8 - -39.8. Let z = f - 33. What is the third smallest value in -10, d, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69958 and 23.\nAnswer: 1609034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.175 + -0.205. What is the third smallest value in 4, -0.3, s, -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4175 = 285*k - 310*k. Calculate the remainder when 385 is divided by k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.9 - -1.1. Let d = 19.0000001 - c. What is d rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55327?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**4\/12 - i**2. Let l(o) = -o**2 - 4*o + 11. Let y be l(-5). Let v(j) = -2*j**2 - y*j**2 + 6*j**2. Calculate v(p(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + -218. Let j = o + 156. Let s = j + 141.9931. What is s rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-441)\/(-12))\/(-7)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 5. Let l(w) = -2*w - 9. Let m(x) = -6*l(x) + 11*u(x). What is m(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -62*s**2 - 1186*s + 15. Calculate w(-19).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 67 = 1383. Let s(a) = -24*a**3 + a**2 - a - 1. Let x be s(-1). Let r be (-20 - -16) + g\/x. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, 2, -8, -6, -2\/19 in increasing order.\nAnswer: -8, -6, -2\/19, 0, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + 0.6. Let x(s) = 4*s**2 - 3*s + 7. Let q(t) = 5*t**2 - 2*t + 7. Let a(p) = 5*q(p) - 6*x(p). Let w be a(-9). Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, g: 1, m: 1, y: 6, r: 1}. Give prob of picking 1 r and 1 m.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67059711 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -428*c**7\/7 + 2*c**3\/3 - 291*c + 209. What is the third derivative of p(r) wrt r?\nAnswer: -51360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 4236.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from {u: 3, l: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -78 (b) 3 (c) -4\/3 (d) 143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894999?\nAnswer: 3, 7, 17, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4347*x**2 - 1 + 5046*x**2 in the form d + m*x**2 + a*x and give m.\nAnswer: 699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300338, -300348, -300360, -300368, -300366, -300348, -300308?\nAnswer: -300240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-19 + (-8 - -15) + -21)) + 52\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81531812*a**2 - 38921423.\nAnswer: 163063624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*s**3 + 68*s**6 - 934*s**5 - 21*s**2 + 5*s**3 + 7 + 468*s**5 + 466*s**5 wrt s?\nAnswer: 8160*s**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 5)*(-203*u**4 - 14*u**4 - 182*u**4) as v + n*u**3 + t*u + o*u**4 + f*u**2 and give o.\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(8)*1)**2 + -5.\nAnswer: -16*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*a - 9, -11*u + 9*u + 12 = 2*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) 0.3 (c) -0.024 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -277 + 277.00000489. What is s rounded to seven dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + 3. Let z(o) = 7*o. Determine z(s(c)).\nAnswer: -21*c**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -144. Let l = 593 - 537. Calculate the least common multiple of l and j.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 190080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29348611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 21*x**2 - 33*x - 26. Let w be n(23). Round w to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202342?\nAnswer: 2, 7, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85698 and 16928?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**2. Give o(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r + 8. Let j be k(0). Is 7 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -101*b**3 + 7*b**2 + 22*b + 146. What are the prime factors of x(-7)?\nAnswer: 2, 17489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 8. Suppose -a - 8 = f - 3*a, 2*a - 18 = -k*f. Let g(m) = 3 - 3 + m - m**f + 8. What is g(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -81954.\nAnswer: 983448","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66\/35 and -1\/269990.\nAnswer: 269990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 25. Solve -2*l + 4*f + 16 = t, -l + 2*l + 6 = -5*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpvmvtmypvtvtymteve. Give prob of picking 1 t, 1 y, 1 e, and 1 v.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**2. Let t be 3*((-10)\/(-6) - 1). Let s(y) = -2*y + t*y + 0*y - 2*y. Give s(o(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/7)*y**8*y*y**(-6)*y*y*y\/y**(-5\/6))**(-19) assuming y is positive.\nAnswer: y**(-6365\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -301.4 + 297.4. Put p, 165, -1\/12, -3 in increasing order.\nAnswer: p, -3, -1\/12, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55613*i + 111231*i - 55619*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 9 = 0, -16793*z + 11 = -16794*z - 3*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*y + 13*y**3 + 21*y)*(0*y - 5*y + 3*y + 1) to the form z + o*y**2 + m*y**3 + j*y + k*y**4 and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f. Let r(y) = y**2 + y. Let j(z) = z. Let w be 2*(-2)\/12*-3. Let o(i) = w*r(i) - j(i). Determine o(g(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.86 minus -397617.9?\nAnswer: 397624.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28 = 36. Let k(x) = -3*x**3 + 3*x**2 - 2*x - 2. Let y be k(-3). What is the highest common divisor of z and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158209 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1727 or 1728?\nAnswer: 1727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) -44.7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(119) - sqrt(119)*-2)*4*-5)\/((5*sqrt(84))\/sqrt(243)).\nAnswer: 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**2 - 4. Let x(y) = -6*y**2 - 3. Let q(k) = 3*p(k) - 4*x(k). Let t(j) be the first derivative of 4*j**3 - 28. Calculate q(t(r)).\nAnswer: 864*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 402 and 14539?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4599*r + 97. Let d(b) = 5*b. Calculate d(k(h)).\nAnswer: -22995*h + 485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -73527.6529 to the nearest integer.\nAnswer: -73528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23520302647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1859 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1982819 and 872.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16\/15 of a decade?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103163619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 1. Let t(q) = 8*q**2 - 2*q + 7. Let u be 10\/3*(-3)\/2. Let v(a) = 17*a**2 - 5*a + 15. Let w(c) = u*t(c) + 2*v(c). Calculate -4*l(s) + w(s).\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17830953*b**3 - 2921367*b.\nAnswer: -106985718*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327195887?\nAnswer: 59, 61, 229, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*m + 23*m - 14 - 95*m - 11.\nAnswer: -6*m - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 - (6 + 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -8074397.\nAnswer: 8074397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j + 50*j - 21*h + 18*h + 57 = 22*j, -h = -2*j - 43 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/105160 and -89\/28688.\nAnswer: 34282160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 1. Let q(u) = -61*u - 2*u**2 - u**2 - 3*u**2 + 62*u + 4*u**2 - 1. What is -5*m(p) + 3*q(p)?\nAnswer: -p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6336) + -1*sqrt(6336) + sqrt(6336) - sqrt(6336) - (sqrt(44) + 1 + sqrt(44) + -4))**2 + (sqrt(176)\/(sqrt(64) - -3*sqrt(64)))**2 + -4.\nAnswer: -24*sqrt(11) + 11595\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16779196, -2, 4 in descending order.\nAnswer: 16779196, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258220 is divided by 2412.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1 + (-8)\/(-10)). Let o = 2488 + -2488. Solve -2*j + 0 = i - 3, o = -x*i - 5*j - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.83408 kilograms in grams?\nAnswer: 70834.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 199069.1 millennia in decades?\nAnswer: 19906910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 5*h + 4. Let a(g) = 9*g**2 + 5*g + 26. Let q(w) = a(w) - 2*r(w). Let j(x) = -3*x**2 + 3*x - 9. Give -7*j(v) - 4*q(v).\nAnswer: v**2 - v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 249 + 81 = 0. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = -7*y + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -192*n**4 + 16*n**3*q**3 + 3*n**2*q*v - 4*n*q**3 - 4*n*q*v - n*v - 270*q**3 wrt n.\nAnswer: -2304*n**2 + 96*n*q**3 + 6*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995068111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*h - 413*h + 353 = -77*x, -2*h = -4*x - 36 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132121452 - -4?\nAnswer: -132121444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - q + 3 = 0, 32*a + 26*a - q = 55*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*c - 24*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 550, 636, 722, 808?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1466392 - 5?\nAnswer: 1466387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/21 - 0) + 31\/7. Suppose -4*l - 4*b = -36, -l + 2*l - 5*b = -21. Let d(o) = -3 + l*o - o**2 + 2*o - o. Give d(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 18*r - 1154. Let q(k) = -7*k. Calculate q(o(b)).\nAnswer: -126*b + 8078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -13.3. Let z = 9362 + -9366. Which is the smallest value? (a) z (b) i (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28165*u + 28169*u + 4 = 2*k, 5*u = -3*k + 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(4)\/sqrt(2))**2 + -3 + -5 - (-2 + (sqrt(44)\/sqrt(2))\/sqrt(11)))*-1.\nAnswer: sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1352 and 754?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b + 5. Let f(c) = 8*c - 6. Let a(z) = -5*f(z) - 6*v(z). Let m(n) = 9*n. Calculate m(a(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 244*i**2 - 27*i + 5606. Give q(244).\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -258\/19 - -4525\/399. Let b = -4129 + 49457\/12. Find the common denominator of k and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4938 - -113614\/23. Let n = 309706493\/65915850 + 587\/18438. Let p = n - 1\/325. What is the common denominator of p and o?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5508 and 4276044.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 212 (b) 110 (c) -1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -536468 or -536666?\nAnswer: -536468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*k - 4, -18*v = -13*v + 2*k - 5. Let p(m) = 3*m - 1. Determine p(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 8*p + 1. Let u(m) = m + 1. Let c be u(-5). Let j be 2586\/(-66) + c\/(-22). Let q = j + 44. Calculate l(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61592175392 + -172.\nAnswer: 61592175220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 1015915 + 4*g**2 + 1015915.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -27*y**3 + 13*y**2 - 9*y - 9. Let x(h) = 7*h**3 - 3*h**2 + 2*h + 2. What is 2*v(g) + 9*x(g)?\nAnswer: 9*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 3*s**2 + s - 6. Let j(m) = m**2 + 1. Let u(r) = c(r) + 3*j(r). Let d be u(6). Differentiate -2 + 4*z**3 + z**d - 3*z**3 wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -8. Let w = -1313 - -1323. What is the remainder when w is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29 - 1*2\/(-6)*0. Suppose 10*f - 21 = o. Solve -4*s = -r - 5, -4*r - 6 = -f*s + 3*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21559.48 + 21527.479969. Let i = -60 - -28. Let w = i - o. What is w rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847 + 5626 + 3095 + 2*y.\nAnswer: 2*y + 7874","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19 + -12 - (0 - 4*-1). Let z be 325\/(-55) + l\/(-33). Let h(n) be the second derivative of -n**3\/3 - 6*n. Calculate h(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 6*c**2 + 6*c - 2. Give r(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19502 >= 19691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -5. Let b(l) = 13*l**3 - 9*l**2 + 9*l + 20. Let s(c) = -3*c**3 + 2*c**2 - 2*c - 5. Let m(p) = z*s(p) + 2*b(p). What is the derivative of m(x) wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -78\/51023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 18, 3, -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115257 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61620432 to the nearest integer?\nAnswer: 7850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b - 53. Let x be (-9)\/2*((-20)\/(-3))\/2. Let h be w(x). What is the units digit of (8 - h\/6)\/((-2)\/87)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 94\/13 (b) -2\/13 (c) 3 (d) -1 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4\/5, -24, -2\/5 in increasing order.\nAnswer: -24, -4\/5, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190402*a + 191023*a - 381412*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*o - 12 = 53*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -218*0.14171\nAnswer: -30.89278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 6 = 2*j, -2*y + 0*j - j - 9 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655.912642 rounded to one decimal place?\nAnswer: 655.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119\/13 - 781\/91. Let a = -0.9 + 0.9. Let h = 10 - 8. What is the third biggest value in a, d, 0.01, h?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 4*i**2 - 3*i - 4. Let d be o(-3). Let l(n) = n**3 - n**2 - 1. Let m(f) = -3*f**3 - 4*f**2 + 6*f + 12. Let h(u) = d*l(u) - m(u). What is h(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2921.1655 rounded to 0 dps?\nAnswer: 2921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v + 3. What is the remainder when ((-632)\/12)\/(4\/(-6)) is divided by f(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*g - 1966 = 5*g - 4020 + 454 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7965553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24719 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23867170, -47734339, -71601508, -95468677?\n\"Answer: -23867169*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 195899\/28 and 6997 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*h**4*v**2 + 15*h**3*v**2 - 638*h*v**2 wrt h?\nAnswer: -204*h**2*v**2 + 90*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4865 + 6970. List the prime factors of p.\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -15. Suppose n = -p + 1. Let a be (-6 - 0)\/12 - (-17)\/10. What is the third smallest value in a, n, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29443, -29268, -29093, -28918, -28743, -28568?\n\"Answer: 175*y - 29618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -121a - 53?\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 13*g**2 - g + 14. Let l(w) = w**2 + 12*w. Let v be l(-13). Determine a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c + 109 + 27*c + 7*c + 14.\nAnswer: 46*c + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/9 (c) 0.5 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 23*h + 18*h + 12 = 0, 4*t = 2*h - 2. Solve 2*q - t = -2*z + 3, 0 = -4*q - 5*z + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 2*r + 1. Let l be x(-2). Let t = -7 + 12. Sort l, -5, t in ascending order.\nAnswer: -5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = -5*u - 5*a - 148, 11*a + 1 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 4*b**2 - 2*b**3)*(-17*b + 4*b - 7*b).\nAnswer: 40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*q - 2*s - 1765, -3*q + 1059 = -s. Let n = 513 - q. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -22*q**2 + 89*q - 223. Let j be p(-9). Which is bigger: j or -2804?\nAnswer: -2804","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zazzaza?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/2*0 + (-1204)\/(-14).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (7 - (-1128)\/(-160))\/((-9)\/(-139)) and -109\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*s + 38, 0*s - s = -2*i + 10. Let c be 2\/s + 1046\/12. Suppose 2*p - c = -p. What is the remainder when p is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, l: 3, u: 3, n: 1}. Give prob of picking 2 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 24.962. Let l = -13.5 + 13.351. Let j = w + l. Round j to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38*(-13705 - -13709 - ((3 - -1) + -1)*1)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8 (base 15) in base 9?\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 608331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390620742 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = y + 3*o, -2*y - 38 = -0*y + o. Let z be (-1)\/y*(0 - -2). What is the third smallest value in 2, -7, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*v + 5 = -7, 0 = 2*y + 5*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrrrrrjrrrj. Give prob of sequence jrjr.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + 8. Let d = -5083 - -5386. Calculate the remainder when d is divided by a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -323 - -501. Let g = p + -178.000111. What is g rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141992160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Suppose -3*y = -11 - z. Let f be 0\/(6\/(-4)*y\/3). Solve -4*g + f*g - 16 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 24*q - 21*q. Let l = -16 + q. Let d = -31 - -31. Solve -4*b - 3*c + 4 = d, -l = -0*b - 4*b - 2*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 3893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652 < 1645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyywwyywwwywyyww. What is prob of sequence yyww?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 24*g - 24. Let b(z) = -25*z + 21. What is 5*b(x) + 4*i(x)?\nAnswer: -29*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 428*s**2. Let v(w) = 2*w**2 - 43. What is v(j(k))?\nAnswer: 366368*k**4 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) + (sqrt(343) - (sqrt(343) + sqrt(343) + -2*sqrt(343)))).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(-2 + sqrt(11)) + sqrt(11) + (sqrt(132) - (sqrt(132) - sqrt(132)*-2) - sqrt(132))\/sqrt(12)) + (4*(-1 + -1 + sqrt(1100))*-2)**2.\nAnswer: -2552*sqrt(11) + 70632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16130 is divided by 129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 554 and 4?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22908*r**3*s**4 + 180*r**3*s**2 + 6*r**3 - 21*r**2*s - r**2 + r - 4060*s**6 - 73 wrt s.\nAnswer: -549792*r**3*s - 487200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3901599 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: Let f = -11 - -18. Let b be 6\/(-2) - (f - 10). Solve b = 2*c + 4, 0*c - 5*c + 15 = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/108)\/(-4)*-3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5913 or 2993?\nAnswer: 2993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f*z**5 + 18798*f*z - 2*f - 6724353*z**4 - 31*z - 7 wrt z.\nAnswer: -140*f*z**3 - 80692236*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*z - 116055 = -17424, 3*f - 4*z - 73942 = 0. Does 253 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/8 + -3)*6. Let n(p) = p**3 - 7*p**2 + 6*p - 1. Let v be n(6). What is the units digit of m\/(v\/(4\/3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*d + 3141, d - 1567 = -6*w + 4*w. Suppose 4*x - w = -2*b - 12, b + x - 391 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28953 + -28783. Calculate the lowest common multiple of f and 11.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128824178.\nAnswer: 2, 7, 9201727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 826167707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10432741 and 604.\nAnswer: 41730964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 + 0) - (-1 + 6 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 12. Suppose 0*p = -q*p + 141. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.7 + -50.8. Let j = 153\/140 + -12\/35. Put 3, k, j, -3\/8 in descending order.\nAnswer: 3, j, k, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25410\/23 and -1104 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u - 1. Let h(v) = 23*v - 3. Let g(q) = -6*h(q) + 17*p(q). Let f(r) = r. Let i(l) = 3*f(l) + 2*g(l). Let x(z) = 2*z - 2. Calculate -4*i(d) - 3*x(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/21, -74\/43, -4 in ascending order.\nAnswer: -4, -74\/43, -2\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10750007\/154 - 69805. Calculate the common denominator of -55\/3 and l.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 172935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 + 4*p - 4. Let b(x) = x**2 - x + 1. Let s(c) = 11*b(c) + 2*d(c). Calculate s(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19, 13 in ascending order.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*x - 6*x**5 - x**2 + 2*x**5 + 81*x wrt x?\nAnswer: -80*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 24\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -55*i + 196*i - 50*i - 51*i - 51*i. Let y(r) = -29*r**2. What is y(g(t))?\nAnswer: -3509*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301173.\nAnswer: 3, 100391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2145869 or 2145867?\nAnswer: 2145867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 38*b - 135 + 301 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3410, -6831, -10252, -13673, -17094, -20515?\nAnswer: -23936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**6\/120 - 5*s**5\/16 - 13*s**4\/24 + 3772*s. Solve k(d) = 0.\nAnswer: -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 39, 502, 2 in descending order.\nAnswer: 502, 39, 2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35624 and 2167086?\nAnswer: 632789112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100502 - 70921. What are the prime factors of d?\nAnswer: 29581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363025.9 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o + 6 + 9 = -47. Let t(a) be the second derivative of 0*a**5 - 11\/10*a**6 + 0 + 0*a**4 - 23\/2*a**o + 0*a**3 - 20*a. Differentiate t(s) wrt s.\nAnswer: -132*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 323 = g + 2*g, 3*g - 328 = o. Suppose -14*u + g = -143. Which is smaller: 12 or u?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, v: 2}. Give prob of picking 2 m and 1 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 963343 (base 10) in base 7?\nAnswer: 11121403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(726) - sqrt(726))*5)\/(1*sqrt(162) - sqrt(198)\/sqrt(11)).\nAnswer: 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + 4\/6. Suppose q = -5*f + 31, j*f + 15 = 5*q - 3*f. Let t = q - -3. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mplg when four letters picked without replacement from gzmpglxmx.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 1\/48*i**4 - 24*i - i**2 + 1\/12*i**3 + 0. Factor m(l).\nAnswer: (l - 2)*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**3\/3 - 9*l**2\/2 + 4*l - 8. Let c be s(-9). Suppose c = k + 2. Solve 3*p + p - k*u = -2, -3*p - 4*u - 29 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = 5*u - 6*u - 126 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -77. Suppose -371 + 71 = -3*b. Suppose -2*q + b = -2*f, 4*f - 29 = -g*q + 171. Round q to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61901317?\nAnswer: 83, 467, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 18\/11*w + 27 + 2\/33*w**3 + 10\/11*w**2. Let u(z) = 0. Calculate z.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (-6 - 27).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(2\/7)\/q))**(-18))**(-2\/27)\/((q\/q**(2\/7))**(-2)\/((q**(2\/3)\/q)\/q*q**(-5\/4))) assuming q is positive.\nAnswer: q**(-17\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 132047086783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -88 + 88 - m. Let q(n) = -4*n. Give q(l(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 6*m**2 + 6*m**2 + 3*m**2 - m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 24*h + 30. Let b(d) = d + 1. Let w(v) = 90*b(v) - 3*y(v). Let c(p) = 2*p. Determine w(c(o)).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzazzzzzzxz. Give prob of picking 2 z.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*a - 4, 4*a = -2*i + 2*a - 2. Let r be (-23)\/(-3) + (-20)\/30 - i. Let c(n) = -n**2 + 19*n + 12. What is the hundreds digit of c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 176518 in -0.3, 1\/4, -15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16117 and -1.21124945?\nAnswer: 16118.21124945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/2 + 16*b + 105\/2 = 0.\nAnswer: -3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 1, 5*o = 2*b - 4*b + 7412. Suppose 8*j - o = 5*j. Let l = j + -341. What is l rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p\/((p**(-1\/2)*p)\/p))\/p)\/p)**(1\/9)*(p*p*p**(3\/7))**(3\/5))**(-49) assuming p is positive.\nAnswer: p**(-6671\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 - 4*s**2 + 2*s**2)*(0 + 2 - 4 + 0 - 6 + 1 + (1 - 3 + 3)*(0 - 1 + 2) + (-4 + 3 + 3)*(-4 + 0 + 1)) to j*s**2 + k*s + t and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 190 = 2*o + 9*z, -5*z = -2*o + 186. What is the remainder when 899 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -2. Let d be ((-3)\/9)\/(p\/234). Let x = 55 - d. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, -5, -3, 122 in decreasing order.\nAnswer: 122, 11, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**2 + 40*c - 14. Is s(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8691, 8652, 8589, 8502, 8391?\nAnswer: 8256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-3)\/30)\/(2*2)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -48\/7, -41, 0.1, -1, -35, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**5\/20 - 7*x**4\/12 - 4*x**3\/3 - x**2 - 88*x. Determine m(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49332043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/1*(-306 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751450279 rounded to the nearest 1000000?\nAnswer: 751000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((4 - 6)\/(-6))\/((-1)\/(-12)). Let o(k) = k**3 - 3*k**2 - k - 3. Calculate o(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-10)*(-20)\/(-3). Suppose 4*m + w = 6*m. Solve m*n = 7 + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1690 + 61?\nAnswer: -162a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -17. Suppose -x*n + 88 = 3*y, -2*y + 5*n = -3*y + 36. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4071 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 84\/(-24))\/(1\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7075\/4 - -1780. Let b = -5305\/4026 - 50\/183. Find the common denominator of u and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/13718194 and 23\/9940.\nAnswer: 137181940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*b - 28. Let q(u) = u**3 - 6*u**2 + 7*u - 7. What is q(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by -11\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + a + 91 - 15*a**2 + 16*a**2 + 36 to the form u*a + s + x*a**2 and give s.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 w, and 1 j when four letters picked without replacement from {j: 2, a: 1, w: 2, o: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*v**4 + 32407*v**3 + 2*v**2 + 151*v - 7710.\nAnswer: -72*v**2 + 194442*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 1, 3, 1\/4, -0.4, 1.316 in descending order.\nAnswer: 3, 1.316, 1, 1\/4, -0.03, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -41, -76, -113, -146, -169?\n\"Answer: g**3 - 10*g**2 - 4*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043 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: In base 10, what is -959 + 4427?\nAnswer: 3468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(16)*3)\/((sqrt(8) - -2*sqrt(8))*-1).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -73883, -0.1, -2\/5, 2\/5 in decreasing order.\nAnswer: 2\/5, -0.1, -2\/5, -1, -73883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 45 = -0*k. Suppose -6*m + 3*t = -m - k, -2*t = -3*m + 5. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 16 + 11. Does 33 divide (-2)\/(40\/(-15))*132\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 40 = 0, 0*p - 2*p + 15*t + 79 = -6*p + 4*t for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 305667954 and -0.02?\nAnswer: -6113359.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39306 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a9a9 + 0?\nAnswer: a9a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**2. Let j(t) = 61*t - 2. Calculate p(j(c)).\nAnswer: 29768*c**2 - 1952*c + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -86. Is 7 a factor of -62*(-5 - r)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 28106.65m?\nAnswer: 2810665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6024274*c**4 - 4506990 with respect to c.\nAnswer: -24097096*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -66. Calculate the remainder when 66 is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1075\/171, 1\/8, 0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2136696, 4273395, 6410094, 8546793?\n\"Answer: 2136699*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*f**2*s - 27593686*f**2 + 424*f*s - 236*s wrt s.\nAnswer: -19*f**2 + 424*f - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Let c(d) = -48*d**3 + d**2 + 2*d - 3. Let k be c(1). Let v be (-6 + 8\/4)*(-60)\/k. Sort v, l, -8, -2 in descending order.\nAnswer: l, -2, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/(t*t**(-2\/45)))\/t*t)*t*t*(t\/(t*t*t**(-8)))\/t*t**(-1)*t**(-5\/3) assuming t is positive.\nAnswer: t**(283\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 = -16*d - k, -47 = -5*d + 7*k - 4*k for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21283.\nAnswer: 21283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26 - 2*c**6 + 24 - 10*c**6 - 108*c**2 - 17*c**2 + 6*c**3 - 39*c**3 wrt c?\nAnswer: -1440*c**3 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2676)\/2)\/((-57)\/627).\nAnswer: 2, 3, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -34. Which is greater: 1\/3 or s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u - 6*u + 23*u + 28*u)*(7*u**3 - 3*u**3 + 3*u**3) as x*u**4 + q*u + o*u**3 + w + a*u**2 and give x.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98.999815 + -99. What is b rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12233468*s**3 - 2251427 wrt s?\nAnswer: 36700404*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.3 - 8.69. Let n = 3.5678 - i. Let l = n + 0.04. What is l rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4093, -8185, -12277, -16369, -20461?\n\"Answer: -4092*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -37, -73, -129, -211?\n\"Answer: -s**3 - s**2 - 12*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33250364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14637 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -301, -4, 380 in ascending order.\nAnswer: -301, -4, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvl when three letters picked without replacement from {l: 1, y: 2, z: 4, v: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1053)*-3 - (3*sqrt(1053) + 1))**2 - 4*(-3 + 2 + sqrt(832) + -1).\nAnswer: 616*sqrt(13) + 37952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*f - 52, 104*f = 104*f + 5*q - 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43967445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 301*w + 26 = -300*w, -5*n - 29*w = -344 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/(-18) - 6\/(1 - 2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m - 1. Let l(w) = -3*w**3 + 8*w - 1. Let f(z) = -3*z**3 + 9*z. Let n(x) = -3*f(x) + 2*l(x). What is -11*g(y) + 4*n(y)?\nAnswer: y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 494*k**3 - 24*k + 3069. Let d(g) = 1482*g**3 - 64*g + 9208. Let q(w) = -3*d(w) + 8*y(w). What is the derivative of q(t) wrt t?\nAnswer: -1482*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70802 + -22602. Suppose 9*y = 6*y + 2*l + 36155, -4*y + o = -4*l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 10 (c) -0.1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 31398 = 2*d, -d = f + f - 15704. What is d rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 677349 and 1539.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w**2 - 2*w - 3. Let c(d) = -d**3 - 15*d**2 + 37*d + 14. Let g be c(-17). Let n = g + 35. Calculate v(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2. Let q(r) = 218201145*r. Determine x(q(i)).\nAnswer: 142835219037933075*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 20*n + 23. Give u(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 times -17.732?\nAnswer: 4326.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-242)\/5445*117*10\/16\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 3*u - 7*u)*(-523*u - 1874*u - 1 - 3244*u).\nAnswer: 11282*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*g - i, -5*g + 18 + 39 = 3*i. Solve -g*d + 3*d + 24 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -15, -9, -6, -12 in decreasing order.\nAnswer: 4, 0, -6, -9, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 198339?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 46 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 332*f*m**3 + 14*m**3 + 2*m**2 wrt f?\nAnswer: 332*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, e: 6, i: 2, h: 4}. What is prob of sequence iih?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = g - 33, -2*s + 3*s - 6 = -4*g. Let l be (-3)\/(0 - s - 2). Suppose -56*o - 35 = -63*o. Which is the nearest to -1? (a) -4 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -57.9. Let f = 1 - 0.4. Let k = m - f. What is the closest to 0.1 in -1\/3, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 2. Let v(j) be the third derivative of j**4\/6 - 7*j**3\/6 - j**2. Let r be 4\/12 + (-124)\/(-6). Determine r*h(c) - 6*v(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6022264 is divided by 2007406?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 9:56 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.011562 millimeters?\nAnswer: 0.005011562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 11*n**2 + 9*n + 13. Suppose -p + 18 - 69 = -5*x, 2*x + p - 19 = 0. Let i be a(x). Solve 1\/4*h**i + 0*h - 1\/4*h**2 + 0 = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 432538275, 4, 3 in descending order.\nAnswer: 432538275, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 = 345\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 963943 + -0.003?\nAnswer: 963942.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 1 l when three letters picked without replacement from {n: 1, g: 2, y: 2, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*d = -27, -3*d - 10 = -2*j - 2*d. Factor -2*a + 7*a + 0*a + j*a**2 + 2 + 2*a**3 + 2*a.\nAnswer: (a + 1)*(a + 2)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 92, 189, 288, 389, 492, 597?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*81\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/1426 and 101\/620?\nAnswer: 14260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*k + 1263 + 778 = 66*k - 79 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**4 - 7*z**3 + 30*z**2 - 2 - 2*z**4 - 29*z**2 to the form s*z**3 + d + i*z**2 + b*z**4 + a*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-400)\/180 + 4\/18 + 0. What is the tens digit of (-233)\/w*2 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 38*d**2 + 156*d - 2395. What is g(39)?\nAnswer: 2168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**2 - 29*c - 12. Let r be y(5). Let o be r*(-3)\/(-12)*(-16)\/14. Solve 6 - 12 = -o*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 6}. Give prob of sequence so.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j**3 + 2*j**2 - j - 1. Give h(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 1538482 + 1538482.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 + 0*l**2 - 157344 + 7*l + 11*l**3 + 157340 + 2*l**2 as s + p*l**3 + y*l**2 + v*l and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29856712?\nAnswer: 2, 743, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-6)*(-92)\/(-10). Suppose 5 = -3*b + d. Solve b*g = g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-2) - (-3)\/6. Suppose 0*t - 5*r + 23 = 4*t, t - 4 = -3*r. Let i(b) = -3*b + b**3 + t*b**2 - 4 + 9*b**2 - 18*b**2. Determine i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 510, 342, 24, -438, -1038, -1770, -2628, -3606?\nAnswer: -4698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*j - 102 + 79, -2*j - 14 = -2*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceeezeczxczczxzecee. Give prob of sequence czx.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1474343 and 508?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573342289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*((-28)\/(-4))\/7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -2186, -6158, -12050, -19862, -29594, -41246?\nAnswer: -54818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 621.2 + -621. What is the closest to 0.1 in -0.03, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*a + 16*a**2 - 18*a - 26 - 18*a**2 in the form q*a**2 + w*a + j and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -981.4 - -986.4. Put -4, -0.263, s in ascending order.\nAnswer: -4, -0.263, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:00 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 3*d**2 - 54*d + 221. Calculate b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4912997949 to the nearest integer?\nAnswer: 70093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 16\/(-2) - 28 - 390\/(-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9229 - 188*y**3 - 4*y**3 + 2*y**2 + 9188 wrt y.\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802*p + 28612 = -13309 + 7435 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-77)\/11 - (-6)\/2. Let m be k\/6 + (-306)\/(-54). Solve 3*b + 10 = 5*p - 12, 29 = m*p + 4*b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 38. Let k = 55 + -72. Let l be h(k). Let u be 6*(l + 22\/(-4)). Is u bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/3 - 17136*f - 51406\/3 = 0.\nAnswer: -25703, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/(-6))\/((3\/(-74))\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -37. Let c(x) = -17*x + 1. Let o be c(-1). What is the greatest common factor of o and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551898 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*g + 46 = 12, -l + g + 18 = 0. Let m = l - 11. Suppose 10 = -7*u + m*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.82706 weeks in hours?\nAnswer: 5850.94608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100001000?\nAnswer: 100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3 + 7*y + 5*y**2 - 9 - 2*y**2 - 4*y**2. Let c be a(6). What is the smallest value in c, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2 (b) -618 (c) -12\/17 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/77 and 3\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -83. Let b(j) = -j + 1. Let y be 1 + -3 + 10 + -9. Let r(a) = y*z(a) + b(a). What is the units digit of r(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 + 24*p + 34. Determine m(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*f - 9 + 43, 4*f = -2*n + 92. Suppose -5*u + 104 = -2*h, u - 81 = -2*u - 5*h. What is the remainder when n is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 3, q: 4}. Give prob of sequence kqq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g - 20. Let o be r(3). Let x(q) = q**2 - q - 1. Let i(t) = 22*t**2 - 2*t - 2. Let k(n) = i(n) - 3*x(n). What is the tens digit of k(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1045, 0, -37 in increasing order.\nAnswer: -37, 0, 1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40\/9)\/((-44)\/(-198)). Solve -f = 4*u, -2*u + 7*u + 33 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2678 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*t + 6. Let q be t\/(-6)*30\/(-2). Which is bigger: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -357*c**4 + 5*c**3 - 52*c**2 - 512*c. Let u(d) = -d**4 + d**3 - 10*d**2. Let p(a) = -f(a) + 5*u(a). Find the third derivative of p(z) wrt z.\nAnswer: 8448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1193876345 and 73.\nAnswer: 1193876418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -1467 - -1509. Solve -161*g + 182*g - l = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 273861 = 26*k. What are the prime factors of k?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.021 - 0.031. Let m = -0.01 - f. Let j = -0.03 - 0.37. What is the second biggest value in j, m, -1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 262488696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 9*t**2 - 3*t - 13. Give y(10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66303215845\/11994 - 5528032. What is the common denominator of -97\/12 and i?\nAnswer: 23988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261619537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + l + l + 2*l**4 + l**3 - 1 in the form n*l**2 + r*l**3 + c + p*l + s*l**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -24*p. Solve f - 4*f + 3 = p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.8 + 44. Let r = w + -11.19999812. Round r to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -0.1 (c) -8 (d) -4 (e) -23 (f) 110 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73322532 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**3\/6 + 11*r**2\/2 - 4*r. List the prime factors of u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802579906?\nAnswer: 2, 401289953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -136 in -2\/9, -5, 2\/21, 1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 539, -4 in decreasing order.\nAnswer: 539, 13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 253111.7+-839\nAnswer: 252272.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m - 36. Let o(s) = 20*s + 77. Let x(i) = 13*a(i) + 6*o(i). Let z(w) = 3*w. What is z(x(l))?\nAnswer: 9*l - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {i: 7, m: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 38. Let n(v) = 13*v + 43. What are the prime factors of n(c)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 178*j**3 - j**2 + 6*j - 2. Let z(g) = -177*g**3 + g**2 - 5*g + 2. Determine -5*b(r) - 6*z(r).\nAnswer: 172*r**3 - r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(9\/(-144))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76992 is divided by 175?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.429643 decades in years?\nAnswer: 24.29643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 3*l. Suppose -u + 11 = 3*o, -5*u + 21 = -0*o - 2*o. Calculate the remainder when 27 is divided by k(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**5\/70 - 10*f**4\/21 + 11*f**3\/3 + 242*f**2\/7 - 3*f + 375. Solve k(u) = 0 for u.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = u + v, 0 = -2*u + 5*v - 11. What is the units digit of (-1 - -2)*(u + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -149.4 and -4?\nAnswer: 145.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(152) - (sqrt(152) + sqrt(152) + sqrt(152)*-2)) + sqrt(152)) - sqrt(152))\/(sqrt(40)\/sqrt(5)*-3) + 0)**2.\nAnswer: 931\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5419419437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 25 = 0, -16 = 3*g + 4*u - 2. Solve a - 15 = -g*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -8\/3, 2\/7, -0.7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 258*r + 2463. What is the remainder when a(-7) is divided by 318?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4746 by 122.\nAnswer: -2373\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 255456 and 454144?\nAnswer: 4087296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 93 + 12*t - 19 - 27 + 2.\nAnswer: 12*t + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1923960 by -12.\nAnswer: -160330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4 and -35\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 50. Let d = b + 69. Let n = -36 + d. Put -2\/7, n, -4 in increasing order.\nAnswer: -4, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114443, 229877, 345311, 460745?\nAnswer: 576179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24539172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.129865.\nAnswer: 0.370135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -171*o + 850. Determine w(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12665593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/2 + 15187*r**2\/2 - 280310*r + 530250 = 0 for r.\nAnswer: 2, 35, 15150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2) + (-3 - -3) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44716 - -312015\/7. Let k = m - -142. Suppose 0 = 3*g - 3. Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2175 = 122*b - 19*b - 3593 for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 11:01 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 211 + -28. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 3*f**2 + 2. Let p be b(-2). Let a be 3\/p*16\/(-12). Suppose -a*q - 163 = -3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 4:27 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3\/3 + 58*g**2\/3 + 416*g\/3 + 120 = 0?\nAnswer: -18, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4293081.\nAnswer: 1\/4293081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -414, -799, -1338?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 422 + -413. Calculate the smallest common multiple of 81 and b.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -16 - 8*w**3 - 8*w - 5*w**3 + 4*w**2 + 15*w**3 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and -77.\nAnswer: -100.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.801 + 1.835. Let q = h + -1. Let g = q + -0.264. What is g rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49943 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -u + 9, -22 = -3*u - k - k. Let b be ((-21)\/35 - (-2)\/(-5))*-4. Suppose -3*w = d + b - 1, -d = -w - 1. Solve d = u*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 divided by -3?\nAnswer: -584\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/8)*(w*w\/(w*w**7))\/w*w)**(-31) assuming w is positive.\nAnswer: w**(1333\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32086 by 1.\nAnswer: 32086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, n: 8}. Give prob of picking 2 n and 2 w.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 1468668.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - -1 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0133 equal to 6458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3031, -3042, -3053, -3064?\n\"Answer: -11*z - 3020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 2, f: 5, j: 1, n: 5, c: 1}. What is prob of sequence cjl?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3608233*d + 33706958 wrt d?\nAnswer: -3608233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -1*sqrt(133)*3) + sqrt(133)*1*-3)\/(sqrt(21)\/((sqrt(12)\/sqrt(4) + sqrt(3))*-5)).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 9*h + 27*h + 5 = 15*h, -n + 3*h + 10 + 7 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 72\/(-12))\/((-2)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890 = -2*g - 3*g - 3*j, g - 5*j = 206. Suppose -41 + g = 4*b. Let x(y) = y**3 + 6*y**2 + 7*y + 11. Let r be x(-5). Sort b, r, 4 in descending order.\nAnswer: b, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(77)\/(sqrt(11) + sqrt(33)\/sqrt(3)) + (1*(sqrt(847) - (sqrt(847)*1 - sqrt(847))))**2)*1.\nAnswer: 5*sqrt(7)\/2 + 4255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 390. Suppose 0 = -4*s + 5*s - i. Suppose -j + s = j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9937 = -30*d - 115*d + 213. Let k = 88 - 18. Calculate the highest common factor of d and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2983 - 0?\nAnswer: 2983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/1*(-2)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e0c + -3e04?\nAnswer: -5d11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5 - 4. Let n be 6 + a\/(6\/(-4)). Let i(o) = -7*o**3 - o**2 + o + 3. Let b be i(-1). Solve -n*z = -3*k, b*z + 8 = 4*z + 5*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**2 + 12392801*w + 39457171 wrt w?\nAnswer: 4*w + 12392801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + -6 - (-8 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/2))**(-2\/121)\/((q*q\/q**(-1))\/q)**36 assuming q is positive.\nAnswer: q**(-8713\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 848 by -424.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 696156972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 18, 5, -8, -21, -34?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 18 - (-82 + 2925\/65)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 - 25*d**2 + 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -1\/2, -0.3, -428?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*h - 16*h - 17*h - 1 - 2*h + 1 + (h - 3*h + 3*h)*(-4 + 3 + 2) + 1 + h - 1 + 0*h + h + h + (1 - 1 - 1)*(h - 3*h + h).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15144 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39d4 (base 14) to base 9.\nAnswer: -14863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxaaaaoaaaaaxax. What is prob of sequence aa?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 247?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 764398 divided by -382199?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3)*1 + (1213 - 1212). Which is the nearest to 2? (a) -0.12 (b) -1\/77 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.379 (b) -0.5 (c) -3 (d) 0.1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39684 or 595264\/15?\nAnswer: 39684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71386.59 years to decades.\nAnswer: 7138.659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 1.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 u, and 1 x when three letters picked without replacement from yuuxcixyuuqyiiy?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m - 57*m - 67*m + (-3 + 4 - 3)*(m + 0*m + 2*m) + 0*m + 2*m + 0*m + (-m - m + 4*m)*(-1 + 1 + 1).\nAnswer: -133*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -78*i + 21*i - 16 + 71 - 21*i**2 - 8*i**2 + i**3. Let t be u(31). What is the highest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -u - 27. Let w = 14866 - 14862. Suppose w*b + 28 = u. Which is smaller: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/8)\/((-11)\/(-22)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 57 - 21. Suppose 6*t - t - 4*b - 7 = 0, -3*b + 6 = 0. Suppose 0 = 3*q + t, -4*j - l*q + 790 = -q. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 224 + 172 = -4*n, -5*t = -5*n + 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-1218)*-116)\/(7\/77*1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*c - 2 + (5*c - 4*c + 0*c)*(-3 + 6 + 0))*(-12*c - 37*c - 20*c).\nAnswer: -345*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*d - 12*d, 1 - 26 = -5*r - 177*d + 176*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21406 (base 9) in base 5?\nAnswer: -423211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -296*j*n**2 + 1700*j + n**2 wrt n?\nAnswer: -592*j*n + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 4*i - 7*i)*(-1 + 0 + 0) + (-4 + 4 - 1)*(-2*i + 2*i - i) - 2*i - 2*i + 2*i + (2*i + 2*i - 5*i)*(-1 + 7 - 2) - 9*i - 4*i - 3*i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446.6589 rounded to the nearest 10?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 7582294.3\nAnswer: -37911471.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9074 + -9029. Solve a*f - 54*f = 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) + 3\/(-9). Let w be (a\/(-2))\/((-3)\/(-18)). Suppose -v + 19 = -c + 3*c, w*c + 5*v = 18. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 26840\/14451?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315 (base 7) in base 8?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 7:18 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1 - 3, 5*z - 86 = -2*a. Let v(i) = a*i**2 - 149*i**2 + 57*i**2 + 50*i**2. Let j(d) = -5*d**2. Calculate j(v(t)).\nAnswer: -605*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 200*j - 247 = -17*j - 971 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 128156, -107.\nAnswer: -107, -1, 128156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-55)\/132*-15 - ((-4)\/16)\/(-1). Solve -4*k - 13 = j + x, -5*j = k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12426*m**2 - 3*m + 3*m - 12394*m**2 to i*m + o*m**2 + r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-1\/2))**(35\/4)*(w*w**(-2\/5)\/w)**(1\/7))\/((w**1\/w)**(-15\/11))**(2\/31) assuming w is positive.\nAnswer: w**(6109\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + 8*q + 7. Let i be s(3). Suppose -4*l - 5*u = -2877, 2*u = l + i*u - 723. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 6*t**2 + 23*t + 94. Let m be q(-9). What is the greatest common divisor of 195 and m?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/11256 and 111\/14?\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03223878 to three decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - 0\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 - -3245. What are the prime factors of b?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 21*r + 69*r + 30 = 31*r + 21*r, b - 4*r = -23 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 6 - 12. Let k be (4\/u)\/8 - (-1205)\/(-4). Let h = k + 450. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -21 (c) -3 (d) 267656.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 h when four letters picked without replacement from {n: 1, h: 1, v: 2, k: 1, y: 4}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*h + 3*i - 8, -8 = -2*h - i. Suppose 573 = h*y - y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 88 = 4*q - 26, 2*q - 5*u - 42 = 0. Suppose 4*a + 6 = q. Suppose 0 = -a*w + 245 + 250. Calculate the highest common factor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1979 - -2972. Is 49 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**3\/6 + 2*o**2 - 3*o + 194. Let a(v) = v - 8. What is a(x) + 5*q(x)?\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**4 - 4*g**4 + 4*g**4 + (-g - 4*g + 3*g)*(-2*g - g + 6*g)*(-144*g**2 - 126 + 126) as s*g + p*g**4 + n + d*g**3 + r*g**2 and give p.\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -4, 7 in descending order.\nAnswer: 7, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16024370 and 14858.\nAnswer: 7002649690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*y + 19 = 0, 4*i - 3*y - 40 + 11 = 0. Let p(v) = v**3 - v**2 - 2*v + 1. Let f be p(2). Solve q + o + f = -o, -i*o = -2*q + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x + 731 - 715 = 496 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*m - 87*m. Suppose -81*j - 3*j = -9*j. Which is the closest to m? (a) -2\/5 (b) j (c) 0.6 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2736) - (sqrt(2736)*-2 + -2) - ((0 + -1*sqrt(2736) - sqrt(2736) - sqrt(2736)) + sqrt(2736))) + 2)**2*6.\nAnswer: 2880*sqrt(19) + 410497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24210 (base 7) to base 4\nAnswer: 1202013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69456490, 138912974, 208369458?\nAnswer: 277825942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 15, 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/864 - (-53)\/40?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12 = 8*f. Suppose 4*z + f*x - 38 = 5*x, -21 = -2*z + 3*x. What is the first derivative of -18*h**4 + 9*h**4 - z + 6*h**4 wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -20*o + 5. Determine b(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 16*n + 1. Let m be x(-1). Let w be (m\/3)\/(-15) + 58\/6. Suppose 0 = 14*q + w - 66. Solve 0 = v + q*h + 16, 0*h = -3*v - h + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -5.3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8, 4, -4\/401?\nAnswer: -4\/401","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -422 or -423?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.094 - -0.006. Which is bigger: -27 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x - 7. Let o(f) = 3*f + 6. Let q(n) = 6*c(n) + 7*o(n). Let j be (-23)\/(-6) - (-2)\/12. Let l(y) = -3*y + j*y - 2*y. Give q(l(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 501465, 4011484, 13538479, 32090874, 62677093?\n\"Answer: 501404*n**3 + 64*n**2 - n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6*m - 35. Let b be m + (-15)\/(-5) - 0. Let k = b - -115. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 4, 2*x - 27 = 2*j - 33 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1859)\/936 - (-7)\/63.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -162 + 4?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-838 + 186 + 376)*(3*f - 4*f + 4*f) + (0 + 0 + 2)*(14 - 14 + 5*f) - f - f + 0*f.\nAnswer: -820*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzzzxzzpzqxqx. What is prob of picking 2 x and 2 q?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/5 (b) -3 (c) 4\/3 (d) -1 (e) 0.242 (f) -2.047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523468.\nAnswer: 2, 11, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 8*g**2 + 8*g + 9. Suppose 3*o + 11 = 38. Let x be i(o). Solve 3*r - 2*r + 1 = x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*q - 24 = -783*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1670 and 17\/501.\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3\/3 - 11*z - 15. Let o be l(6). Suppose -4*f = 5*i + o, 9 + 16 = -f - 5*i. Is -8\/15 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.6. Let b = 556 - 553. Put b, 42, s in decreasing order.\nAnswer: 42, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-2 + 0 + 3)*(2*b - 7*b + 2*b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (55 + -26 - (10 + -2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84678812 - 198*m - 84678812.\nAnswer: -198*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*(sqrt(99)*-2 - sqrt(99)) + -4 + 2))**2*-1.\nAnswer: -895 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*y**3 + 3*y**2 - y + 19*y**3 + 28*y**3 in the form a*y**3 + o + d*y + m*y**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7603*a**3*y**2 + a**2*y**2 + 33*a*y - 2*a - 20*y**2 - 1 wrt a?\nAnswer: 45618*a*y**2 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(425) + -5 - (4*sqrt(119)*3)\/sqrt(7))*-1.\nAnswer: 5 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4070)\/(-35) + 4\/(-14) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 0 + 2 = l, -10 = -5*l - 2*w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r**3 - 6*r**2 + 4391*r - 8774. Give f(2).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.48 + 1.58. Let o = 59.5 - 59. What is the nearest to n in -1\/11, o, 4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(14\/(-6))*(-1 - 0). Suppose 5*y - 7 + 2 = 0. Which is the closest to y? (a) 0.6 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4750 - -4752. Factor 0 + 2\/21*u**d + 2\/7*u.\nAnswer: 2*u*(u + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 40*x**2 - 32*x + 4. Suppose -11*g = -114 - 95. Calculate the remainder when o(g) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 + 14 + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3268001.55426 less than -0.4?\nAnswer: 3268001.15426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68*h**3*i**2*m**2 + 2*h**3*i**2*m + 4*h**3*i**2 - 9*h*i**2 - h wrt m?\nAnswer: 136*h**3*i**2*m + 2*h**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/180 - y**5\/24 + y**3 + 4*y**2. Let g(z) be the first derivative of l(z). Find the second derivative of g(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -22234?\nAnswer: 22230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -136478*p. Let x(d) = -d**2. What is g(x(w))?\nAnswer: 136478*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6128, -6123, -6114, -6101?\nAnswer: -6084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-289 - -280) + (-123)\/(-14)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 7 (b) 4 (c) -13 (d) 4\/3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1780, 14562, 49250, 116794, 228144?\nAnswer: 394250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 625 - 2487\/4. Let n be 6*1 - (10 - 7). Factor -27\/4*r**2 - 7\/4*r**4 + p*r - 1\/2 + 23\/4*r**n.\nAnswer: -(r - 1)**3*(7*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8496.876g?\nAnswer: 0.008496876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*(4 - -4). Let l be (-1 - (-10)\/c)*12\/(-9). Let a be ((-8)\/14)\/(1\/14*l). Solve a*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 28 = a, 379*b - 375*b = a + 5 - 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 403359254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((55\/(-330))\/(1\/8))\/((-10)\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3249454 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 1)*-3 + 5 - 1*(sqrt(416) + sqrt(416)*-1 + sqrt(416))\/sqrt(2))**2.\nAnswer: -64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28407 + -28221. Calculate the greatest common factor of 18166 and v.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3913*h*m**2 - 12*h - m + 111 wrt m?\nAnswer: -7826*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 696883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, a: 2, d: 1, c: 5, y: 5}. What is prob of picking 2 c and 1 d?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 104 = -120. Suppose -f + x = -1. Suppose 0 = -4*s + f + 43. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9 - 10\/(-6). Let z be ((-32)\/(-20))\/(v\/5). Suppose 0 = 3*f - z*f + 5. Which is the nearest to 1\/2? (a) 1\/2 (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -501*z - 154327. Determine s(-308).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**4\/4 + 4*y**3\/3 + y**2\/2 - 4*y - 1. Determine n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -4 - 100\/(-4). Suppose 4*i + 0*i = j. Calculate the smallest common multiple of 16 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 12 = y - 53, 0 = 4*h - 16. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21470755 and 21470758 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 11) + (-17 - (-7 - 4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 2*r**2 + 0*r**2)*(8620 + 11945 + 1946)*(-7*r + 2*r + 4*r).\nAnswer: -45022*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 + -0.1. Let n = -119 - -63. Let g be (n\/(-21))\/4*3\/(-23). What is the third smallest value in g, j, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -10 + 45 + -4 + 24 + -5?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10983598 rounded to five dps?\nAnswer: -0.10984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-3 + (2 + 1 - (-28 - (17 + -13)))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45125784 and 63252.\nAnswer: 315880488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 27?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*m = 68*m + 513. What is the least common multiple of m and 12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3451 + -34?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -48?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 400220 to the nearest 1000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 7:58 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.82232224 to one dp.\nAnswer: 22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/42 + (480\/112)\/(-30).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243\/27*-2*(-1)\/(-6)*600\/15.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5485470 to the nearest integer?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1926.357 + 253.303. What is n rounded to the nearest 10?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22243 (base 11) to base 15\nAnswer: -983d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13363933 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 minutes after 9:16 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 11239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004706409 to 7 dps.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001000 + 0?\nAnswer: 110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -50, -53?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 22 = 2*c - 4*c, -6 = -3*x. Find the third derivative of -6*s**2 - 3*s**5 - c*s**5 + 9*s**5 - s**5 wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, -0.4, 2, -66 in descending order.\nAnswer: 2, 0.2, -0.4, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x - 8. Let a be q(4). Let c = 44 - a. Let k = -1 + c. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104719083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 69\/10, 0, 0.5, -5, 29.1, -3, -6\/7?\nAnswer: 29.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*q**2 - 52*q - 8.\nAnswer: -4*(q + 1)*(11*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -10, -21, -36, -55, -78?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0443 times -9\nAnswer: -0.3987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 991 or 993?\nAnswer: 991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 23*k - 18*k. Let w be (-16)\/(-5)*(-25)\/k. Let d = 12 + w. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4 + 50*p**3 + 451*p**2 - 1110*p = 0 for p.\nAnswer: -37, -15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2479 divided by 656?\nAnswer: -2479\/656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-23 - (-17 + -4)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5563, -11126, -16689, -22252, -27815?\nAnswer: -33378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*u, 6*u = -3*h + u + 14. Suppose -6*a - h = 3. Sort a, 14, -3 in descending order.\nAnswer: 14, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 379.999999785 + -380. Round i to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -10.5. Suppose -5*d = -97 - 613. Let w = 571\/4 - d. What is the third biggest value in t, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 12264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/6*8\/(-3). Suppose 0 = i*j - 5 - 11. Suppose j*n = n. Solve -3*w - 9 = n, -3*c + 5*w - 2*w = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 10*u + 18 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vccv when four letters picked without replacement from occvccvvo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/12 + d**3 + 5*d**2 + 2*d. Let a be o(7). Let q = a - 2. Which is smaller: q or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -939 (base 14) in base 9?\nAnswer: -2436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 13*l**2 + 29*l + 127. What is h(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2 = -4*w - 2*m, 2*m - 4 = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -0.1, -0.12, 13\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3\/3 - 9110*y**2\/3 - 3036*y = 0?\nAnswer: -4554, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 7:58 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(-11) - 11*7\/847?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 20*r - 66. Let k be y(23). Suppose -8*v + 9*v - 122 = -z, -k*v = 2*z - 245. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - 1. Let a be ((-3)\/3 - -3)*1. Let m = -0.5 + 0.2. What is the nearest to k in m, 4, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 10 = 28 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100312044.\nAnswer: 2, 3, 7, 29, 41179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1674 and 5?\nAnswer: 5.1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 0)*(1241*z + 1994*z - 268*z).\nAnswer: -14835*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 14*q**2 - 35*q + 48.\nAnswer: (q - 16)*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.64432 + -0.65. Round t to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163989 and 13289?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 925*y**4 - 4*y - 53. Let p(x) = x**4 - 3*x - 1. Let u(k) = n(k) - 5*p(k). Find the second derivative of u(t) wrt t.\nAnswer: 11040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4 + 9780*k**3 + 5044215*k**2 + 252158500*k - 257212500 = 0.\nAnswer: -950, -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4*y - y)*(0*y + 0*y - 2*y) - 2*y**2 + 3*y**2 + 0*y**2 + (-1 + 1 + y)*(2*y - 2*y - 2*y) - 8*y**2 + 33*y**2 + 20*y**2.\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 - 1. Let u be (-4)\/((-66)\/9 + 6). Let w(q) = 15*q**3 + 3*q**2 + q - 3. Give u*j(o) - w(o).\nAnswer: -12*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/6 + 1\/6. Let j = 127284427\/342285 - 3\/22819. Let p = 372 - j. What is the nearest to -0.2 in 0.5, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {p: 2, i: 4, q: 1, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = m - 14, -h + 5*h = -3*m + 12. Let v = -11 + 9. Let b be v\/h + (-39)\/(-9). Solve -3*y - 5*t = 9, -t + b*t + 11 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 + 136. Is 2 - 5 - (h + 3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -21*h**3 + 357*h**2 + 5001*h - 18432. Let a(g) = -12*g**3 + 178*g**2 + 2501*g - 9216. Let x(t) = -9*a(t) + 5*f(t). Solve x(i) = 0 for i.\nAnswer: -32, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 5*j - 10*j)*(36 + 29 - 17).\nAnswer: -432*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 11060 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6338875951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/5? (a) -1 (b) -8.2 (c) 9 (d) -5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 = -6. Let b = 130\/77 - 6\/11. Which is bigger: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(25\/20) - (-28 + (-6 - -3)). Solve -j*x - 63 = -26*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -x - 9, 641*l - 9 = 5*x + 642*l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/60 + 5*i**4\/24 - i**3\/3 - 2*i**2 + 2*i. Let w(z) be the first derivative of o(z). Let h = 1 - 6. What is w(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 2287*f + 532054. Calculate u(-325).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 75, 162, 275?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520045668 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9451 divided by -1857\nAnswer: -9451\/1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/36 and 95\/13784.\nAnswer: 124056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 2*j)*(3510*j - 3169*j + 5800*j) + 0*j**2 + 5*j**2 - 6*j**2.\nAnswer: 6140*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 18 = -53. Let p = 0.6 - 0.3. Let s = -0.2 + p. What is the third biggest value in z, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-1050)*16\/(4\/(-1)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -826\/27 + 1643\/54. What is the closest to 0 in 11, 0.3, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t**(-3)*t)*t))**(10\/13)\/(t**(3\/10)*t**(1\/14)) assuming t is positive.\nAnswer: t**(-869\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*r**3)*(0*r**2 + r**2 - 2*r**2) + (r + r + 0*r)*(50*r**4 - 43*r**4 - 12*r - 13*r**4).\nAnswer: -10*r**5 - 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 w when four letters picked without replacement from exxwdpwp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = 3*t + z, 2*t - z + 21 = 212. Calculate the highest common divisor of 6 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 6. Give n(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.071*3.9013\nAnswer: 0.2769923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o + 0*o)*(-2*o - 3*o + 4*o) + (0 + 0 - 2*o**2)*(4 - 3 + 2).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -0*t. Let l = -95 + 93. Sort l, t, -1 in decreasing order.\nAnswer: t, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 2. Let l = 1 - p. What is the smallest common multiple of 5 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209927699, 209927697, 209927695?\nAnswer: 209927693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**(-4))\/l*l*l**(-5))\/(l\/l**4*l**(-2\/9)*l))\/((l\/(l*l\/l**(-1\/4))*l*l)**(-1)\/((l**(2\/5)\/l)\/l*l**(1\/4)*l)) assuming l is positive.\nAnswer: l**(163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 23*d + 16*d)*(17 + 7*d**2 - 2 - 6*d**2)*(3*d - 5*d - 2*d)*(-3*d + 5*d + d).\nAnswer: 168*d**5 + 2520*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -103023233 (base 4) to base 10\nAnswer: -78575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 233383122 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6961511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -621 + 606 + (-6 - 1) + 4\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1067 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 9, i: 4, b: 2, s: 3}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 763, 3044, 6845, 12166, 19007?\nAnswer: 27368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10204, -0.15, -1\/19, 3?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 25 + 3 = 0. Which is greater: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 2*j**2 - 4*j. Let a be o(-3). Suppose 32 = a*v + v - y, 2*y = 3*v - 24. What is the greatest common factor of v and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*k + 1725*k + 15300 = 0 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -242238.015685 and 0.01.\nAnswer: -242238.005685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 2*g**2 - 8*g**2)*((3 - 2 + 1)*(g + 2*g - 2*g) - 4*g + 9*g + 2*g).\nAnswer: -99*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1396464230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*z**3 + 18*z**3 - 11*z**3 - 30 wrt z.\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4895, 4343, 3423, 2135?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1542 + -366. Suppose 7*g = -g + m. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46\/65 - 4\/13. Let j = 0.1 + 0.1. Let l = j - 0.2. Which is the third biggest value? (a) l (b) 1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/3))**(-44)*p**(-1\/9)\/((p**1\/p)\/p))**(-7))**(-5\/9) assuming p is positive.\nAnswer: p**(4900\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 615506600 to the nearest one million.\nAnswer: 616000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -58, -80, -130, -220, -362, -568, -850?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1721.1 + -1726. What is the biggest value in 5, -0.5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232868947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**3\/18 + 13*b**2\/3 + 53*b\/6 + 134. Factor o(u).\nAnswer: -(u - 53)*(u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -93 - 88 - 71 + 5*m + 2*m**2 + 236. Let i be ((-3)\/(-1))\/(3\/4). What is the lowest common multiple of l(i) and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 5*g**2 + 6 - 2\/3*g**5 + 0*g**3 + 0*g + 13\/12*g**4. What is the second derivative of x(v) wrt v?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 632561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-3) - (-10 - (10 - -5938)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4005 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -101 divided by -113998\nAnswer: 101\/113998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/60 + 7*x**5\/6 - 24*x**4 - 108*x**3 - x**2 - 56*x. Factor c(l).\nAnswer: -2*(l - 18)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313744677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/75 + 7*k**4\/30 + 2*k**3\/5 - 2*k - 2. Factor f(r).\nAnswer: -2*r*(r - 3)*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p + 20 = 0. Let h(x) = -x**3 + 5*x**2 - 4*x + 1. Let y be h(p). Let l be (12\/(-9))\/(y\/(-3)). Solve 12 = 5*c - 2*k, l*c - k - 12 = -0*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1135184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 589 + -1225. Let g = 1115 + u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 13. Suppose 2*g - 16 = -4*t, j*g + 15 = 5*t - 5. Which is greater: 8\/9 or g?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 240 - -221. Is c a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8689*n + 561151 - 76273 + 381826 = 102072 for n.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + v**2 - 4*v**2)*(-v + 3*v - v) + 37*v**3 + 39*v**3 - 18 - 77*v**3 as k*v**3 + h + u*v + x*v**2 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(4\/(-6)*(-15)\/110). Find the first derivative of 9 + v - 9 - 25*w wrt w.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 28*h**2 - 48*h.\nAnswer: -4*h*(h + 3)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5872 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*h = 677 + 288, 358 = 2*g + 5*h. Round g to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -52.2. Let c = d + -4. Let u be 45\/6 + 99\/(-11). Sort -0.1, u, c in increasing order.\nAnswer: u, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4395a (base 12) to base 16.\nAnswer: -15d96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-16026)\/(-45) - (-4)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-2\/15)*k))**(-2\/101))**(3\/4) assuming k is positive.\nAnswer: k**(17\/1010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 10*q + 4. Let n be t(-5). Suppose n*i - 246 = 62. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.959 rounded to one decimal place?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 + 1762*r + 14080.\nAnswer: (r + 8)*(r + 7040)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -1)*(0 - 5\/(-10)). Solve 2\/13 - 4\/13*a + 0*a**f - 2\/13*a**4 + 4\/13*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 5*o = -23, -5607 = 5*z + 5*o - 5612 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p - 217 = -5*d, 2*d = 4*p + 66. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 13) + (3 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 834 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 573292?\nAnswer: -573288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 32, 24?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**4 + 36*b**3 + 210*b**2 + 400*b = 0?\nAnswer: -8, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 2501010758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1 (b) 0.14 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o. Suppose 4*q - 12 = -o*q. Solve -2*r - q = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21017, 43248, 66699, 91370?\nAnswer: 117261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26361 is divided by 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21 = 3*c, l - 5*c + c = 22. Let p(q) = q**3 - 3*q**2 + 2*q + 1. What is the remainder when p(l) is divided by (-1)\/(-2)*2 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.86 + -2.06. Let n = 0.8 - j. Let s = -0.057 + 0.067. Which is the fourth smallest value? (a) s (b) -2\/3 (c) -0.1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**3\/5 - 12*t**2\/5 - 3*t\/5 + 12\/5 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-38 - -17) + (-1 - 13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 55172 + 101358. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 0, -2*c + 3*c + 5*u = 9. Suppose c*w + 4*a = 28, -5*a - 3 = -5*w - 2*a. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401267685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(11) + sqrt(66)\/(sqrt(12)\/sqrt(2)))*4)**2.\nAnswer: 29744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*((-645)\/3483)\/(10\/(-12))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.88 + -16. What is the nearest to -0.1 in c, 5\/4, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1668059 is divided by 270?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*c = 15, 4*s + c + 0 = 8. Suppose o + 5*b + 22 = 0, -3*o + 4*b + 14 = 3*b. Suppose -s = o*a - 7. Solve 3*r - a = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9783852*g**2 + 9783852*g**2 + 4*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l + 68. Let h be 3 + (-1 + 4 - l). Calculate the highest common factor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 100001001?\nAnswer: 100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-123)\/6 - (-2)\/16*-2 and 37\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 2*v - 20, -5*c + 12*v + 75 = 7*v for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(1*2*sqrt(4)) + -4*(sqrt(3) + ((sqrt(30)*1)\/sqrt(10))**2).\nAnswer: -12 - 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - 173. Let m = u + 226. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68489232 to the nearest integer?\nAnswer: 8276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 58698009.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31\/16 + 3\/48. Suppose 23*n = -s*b + 22*n + 1330, 4 = n. What are the prime factors of b?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-3 + 2)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 77 + -72 + -14 + (-8 - (2 + -2))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183 - 18. Let t = g + 337. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d + 14*d)*(5*d - 4*d - 3*d)*((-d**3 - d**3 + 0*d**3)*(-1 + 0 - 1) - 8963*d**3 - 3 + 3 + 10301*d**3).\nAnswer: -26840*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*n + 19 = -z, 0 = 4*n - 8. Let f be (-7)\/8*(10 + -6). Put 5, z, f in decreasing order.\nAnswer: 5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(110))\/((sqrt(120)\/sqrt(6))\/sqrt(2)) + ((sqrt(55)*2*-6)\/(6*sqrt(45)))**2.\nAnswer: -6*sqrt(11) + 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -126788 (base 12) to base 7\nAnswer: -2364560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13760*c**4 + 126*c**2*p**3 + 10*c*p**3 - 14*c*p**2 + 190*p**2 + p - 2 wrt c.\nAnswer: 165120*c**2 + 252*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 8) in base 16?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 + 130. Let f be (3 - (-3 - -3)) + -56. Let y = -36 - f. Calculate the remainder when r is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 67, 5, -12.\nAnswer: -12, -4, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9176174 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)*x**(-1\/3) assuming x is positive.\nAnswer: x**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -182?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/9 + 11216*q\/9 - 15724832\/9 = 0. Calculate q.\nAnswer: 2804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 1. Let l(h) = -480*h**4 - 6*h**2 - 474*h + 6. Let v(a) = l(a) - 6*m(a). What is the second derivative of v(q) wrt q?\nAnswer: -5760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185570655415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4033442 (base 8) to base 4.\nAnswer: -10003130202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -11302666\nAnswer: 11302666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, 0.19, -3\/7, 0, -8, -29 in increasing order.\nAnswer: -29, -8, -3\/7, 0, 0.19, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Let g(c) = -3*c. Let p = -21 - -16. Let i(r) = p*g(r) - 6*o(r). Calculate i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 333481475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22352.931 * -4\nAnswer: 89411.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 24 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 2*l - 45, 0 = 4*l. Let h = -13 - j. Suppose -h*p + p = -3. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751475.\nAnswer: 5, 30059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 5832.\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -6*d + 96. Let c = d + -13. Let z be c\/6*6 + 18. Solve o + 5*n - z = 3*o, 0 = 4*n - 20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 1512?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1329225 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -9, 7, 29, 57, 91?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/2 - 4215*i + 266135\/2.\nAnswer: -5*(i - 31)*(i + 1717)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/3*(-116)\/116. Solve q*o = 2*z + 10, 3*o + 25 = 2*o - 5*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 - 3.9. Is z > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + r - 3. Let l(z) = -117*z**2 - 65*z + 195. Let c(h) = 65*i(h) + l(h). Let u(g) = -g**2. What is c(u(q))?\nAnswer: -247*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1340 is divided by 326.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6444*j**2*z**3 + 118*j**2*z + 17*j*z**3 + 12012*j*z**2 + z**3 wrt z?\nAnswer: -38664*j**2 + 102*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {e: 1, s: 4, b: 7, r: 1}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 67*r**2 - 935*r - 1114. What is h(-48)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2592921447 to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b. Let g(h) = -19899*h - 201. Let i(t) = 199*t + 2. Let k(m) = -2*g(m) - 201*i(m). Calculate z(k(y)).\nAnswer: -603*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/((-18)\/790))\/(17\/(-51)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -19*h. Let c be (2 + 0)*(-63)\/(-2). Let f(t) = -81*t + t**2 + 0 + 0 + c*t. Let i(o) = -3*f(o) + 2*j(o). What is the second derivative of i(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 11. Let u be -2*(b + -55) - -4. Calculate the greatest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 + 4*s + 3. Let a be l(0). Solve 5*z - 6 = 3*z - 5*d, 2*d - 10 = a*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 6\/3)*10. Suppose -2*t = -v, 4*k + 4*t = 6*k + 14. Suppose k*r - 4*r = -7. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-5) + 0)*(-110)\/4. Is 45 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.87 + 4177.63. Round p to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.929197 millimeters to nanometers.\nAnswer: 3929197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23910862.\nAnswer: 2, 107, 111733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1418.003812 - -1418. What is s rounded to 4 decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {g: 9, e: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-3)\/(3\/1). Let i = -1.88 + -0.12. Which is the closest to o? (a) -1 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 50 + 5 + 5.\nAnswer: n**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.187 in 4, -2\/3, -1\/6, 1.53, -0.003?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.58 - -0.67. Let q = -70.072 - -0.072. Let j = q - -75. Sort b, 0.1, j, -1\/3.\nAnswer: -1\/3, b, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s + 106. Let l(i) = 5*i + 53. Let u(p) = -3*h(p) + 7*l(p). Let g be u(-10). Which is the second biggest value? (a) -2 (b) g (c) -1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 20*m = 3*i - 3, 5*m - 26 = 2*i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 8, -2 in ascending order.\nAnswer: -5, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 467122 divided by -1.\nAnswer: -467122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6*(-9)\/(675\/10)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*r = 3*k - 6, -10 = -4*k + 3*r. Let y = -1245 + 1244.9. Suppose 0 = -2*h - h + 9. Which is the closest to h? (a) k (b) -3\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwww. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5452 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -161?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-9)*28\/112?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -80, -2468921 in descending order.\nAnswer: -3, -80, -2468921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4366 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 9\/3 - -2. What is the third derivative of 55*g**f - 5 + 5 - 40*g**2 - 63*g**5 wrt g?\nAnswer: -480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 380\/1235*(-2)\/(-4). Which is the closest to 0? (a) -1 (b) x (c) -106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1005475\/159 + -6323. Let i = -4\/53 + u. Sort -5, i, -6 in decreasing order.\nAnswer: i, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*x - 94*x + 4*z + 32, 5*x = -z - 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 27 + 17. Solve 5*q + 5*f - 20 = 0, -3*f = q - 0*q - v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:25 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)\/b)\/b**(1\/10) assuming b is positive.\nAnswer: b**(-23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11591 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*z - 16, 5*v + z = -36. Let d = -5 - v. Factor 0 + 4\/7*m**2 + 0*m - 6\/7*m**d - 10\/7*m**4.\nAnswer: -2*m**2*(m + 1)*(5*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2922640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5\/7 - 24*v**4\/7 + 60*v**3\/7 - 8*v**2 + 18*v\/7 = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -969 + 969.00013. Round d to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 3*h**2 - 2*h. Suppose -60*s + 64*s + 24 = 4*d, -d - 5*s = 0. Determine j(d).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17078 bigger than 17077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, 0.04, -2\/13, -5, 37 in descending order.\nAnswer: 37, 0.04, -2\/13, -5, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*a - 5 - 21 = 0, -54 = -3*j - 2*a. Let w = j - 25. Is 15 a factor of (w\/(-3))\/3*163*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-9)*(-6)\/24.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3))**2*3*4 + 3*(0 + sqrt(17))*6.\nAnswer: 18*sqrt(17) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -246\/7. Suppose j - 2*j - t + 9 = 0, 3*t = -j + 17. Which is the second smallest value? (a) j (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461 - 111 = 25*l. Calculate the lowest common multiple of 3770 and l.\nAnswer: 26390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34 - ((-12)\/(-3) - 0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2149213 - 564.\nAnswer: -564.2149213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2207 (base 9) to base 13.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057 + 332346092?\nAnswer: 332346092.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3821.697 hours?\nAnswer: 13758109.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/11 - (-251301)\/13101?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/10)\/((-8)\/(-16))*46\/(10672\/(-290))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -61851331?\nAnswer: -5566619.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9999*d**2 + 1188*d + 8316. Let a(v) = 2*v**2 - 2*v - 14. Determine 594*a(x) + w(x).\nAnswer: 11187*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 8\/(-6) + ((-7520)\/60)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 469, 1051, 1865, 2911?\nAnswer: 4189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0120789715 to seven dps.\nAnswer: -0.012079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -3131313011?\nAnswer: -3131313031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -514*u + 288*u + 1808 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2264617 (base 8) to base 14.\nAnswer: -120b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 448*v + 1355. What is g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/2, 524 in ascending order.\nAnswer: -1, -1\/2, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 744983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 31*v = 2*v + 625644. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let n(v) = v + 446077. Determine o(n(q)).\nAnswer: q**2 + 892154*q + 198984689929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -3\/5 (c) -0.06 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53 + -2?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 + 21*y + 13*y**2 - 2 - 18*y.\nAnswer: 13*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 43*o**2 - 97*o + 176. Calculate p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -29, -1, -1\/7, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 367107358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -14858?\nAnswer: 14858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p - 2*b + 0*b = 2*b - 46, -5*p + 42 + 5 = 4*b + 77 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128148 and 944.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 - 51. Calculate the highest common divisor of 75 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60408 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/14939339 and -44\/10635.\nAnswer: 224090085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*j**4\/9 - 50815408*j**3\/9 + 4391515954976*j**2\/3 - 15056576353024*j\/9 + 4301874217216\/9.\nAnswer: (j - 518524)**2*(7*j - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/(q\/(q**1*q))))\/q)\/q)\/q)**(-10)\/(q\/(q*q**(2\/5)\/q)*q)**(-39) assuming q is positive.\nAnswer: q**(512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5971 + -3.3.\nAnswer: -3.8971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12514, -25395, -38276, -51157?\nAnswer: -64038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 - 43 - (8 + -17).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3207 = 5*i - 4*y + 58, -4*i + 2513 = 3*y. Calculate the remainder when i is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 971281880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7193.1856*-1.\nAnswer: -7193.1856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102222 + -110?\nAnswer: -110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 3*x**2 - 1. Give d(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 2:58 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3410*n**2*v**3 + 4*n**2*v**2 - 15*n**2*v + 3*n**2 - 3*n*v + 3*v wrt v?\nAnswer: -20460*n**2*v + 8*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251179.\nAnswer: 251179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12*d**2. Let p(t) = 45*t - 50*t - 44*t**2 - 41*t**2 + 89*t**2. Calculate p(w(k)).\nAnswer: 576*k**4 - 60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 106020 divided by -31\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from fnnfsffnfnfnfs.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -12 + 4 + -20 + 51 + -1 + 5?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*y = -153*y + 5*h - 29, -2*y - 6 = -4*h + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 31. Let s be p(11). Suppose -j - 40 = -5*w + 13, s*w - 2*j = 26. Let u be (6\/(-36))\/(w\/12 - 1). Is u at most -1\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 12 = 2*f. Let o = f - -19. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.4. Let w = -21.0788 + 21.0788. Which is the nearest to -1\/3? (a) x (b) -4 (c) -0.2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1366155835 rounded to 3 dps?\nAnswer: -1.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b + b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 10. Let t be 40\/(-91) - 2\/(-13). Let o = -20\/21 - t. Which is the second smallest value? (a) -0.4 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 3:49 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*s - 74, -r + 40 = -4*r - s. Let w(t) = -9*t**2 + 34*t + 71. Let l(o) = 38*o**2 - 140*o - 297. Let m(k) = -5*l(k) - 21*w(k). Give m(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3276801 and 728178.\nAnswer: 6553602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/17))**(1\/51)\/(u**(-20)*u*u*u**(21\/4)) assuming u is positive.\nAnswer: u**(44221\/3468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 8*w - 3. Let n be p(7). Suppose n*d + 1 = 9. Suppose -2*x = 5*c - 5, 2*x = -0*c - 3*c + 7. Calculate the remainder when x is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)*12*36. Suppose -5*u = k - 108, -4*k - u + v = u. What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 54.4025.\nAnswer: -272.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/(-15))\/(2\/(-10)). Suppose -d - 5*h = -35, -4*d + 0*d - 4*h + 124 = 0. Let v = d - 12. What is the highest common factor of v and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 44*n - 1. List the prime factors of a(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28539.13202 rounded to 0 dps?\nAnswer: 28539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 68468.38 hours?\nAnswer: 246486168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2369729, -2369728, -2369727, -2369726?\nAnswer: -2369725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhheeh.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.01 (b) 51 (c) -3 (d) 5 (e) 306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180)*-1 + 3 - ((-1 + sqrt(180))*-4 + 4))**2.\nAnswer: -300*sqrt(5) + 4525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 18*b**2 - 2*b\/3 - 18.\nAnswer: 2*(b - 1)*(b + 1)*(b + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 3470*l**3\/3 + 1371. Let u(w) = w**2. Give u(v(p)).\nAnswer: 12040900*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t - 4 = 0. Let h(v) = 2*v**3 + 2*v**2 + 2*v + 1. Give h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 4*v - 6*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krkkkkykkckkrkkrykr. What is prob of picking 1 r and 1 c?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*z - 36683 = -50963 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.24981 meters to nanometers.\nAnswer: 8249810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36029\/12 - -2997. Find the common denominator of w and -93\/142.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26750*a*j*m**2 + 3*a*m**2 + 7619*a - 16*j*m**2 + 2*j - 2*m**2 - 16*m wrt j?\nAnswer: -26750*a*m**2 - 16*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -9*a + 19*a - 14*a + 2, 11*a - 14*a = -5*v - 105 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100011 (base 2) in base 12?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 30. Which is the nearest to o? (a) 2\/5 (b) -3\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1 + 41 = 0. Let b(c) = 3*c**2 - 4*c + 13. Let g(k) = 5*k**2 - 6*k + 20. Let x(p) = m*b(p) + 5*g(p). What is the units digit of x(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4646\/29 + 119903\/58. Let n(t) = -81*t**3 - t**2 - 2*t. Let z be n(-3). Let a = z - p. Find the common denominator of -59\/4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*s**4 - 4334*s**3\/5 + 3223*s**2\/5 + 260*s - 84\/5 = 0. What is s?\nAnswer: -42, -1\/3, 2\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 62 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16\/3 - -35\/6. Let g = 0.3 - 0.7. Which is the biggest value? (a) 0 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7 = 2*c, 0 = -0*i + 2*i - 2. Let s be 8 + c - 16\/4. Let j(l) = l**3 + 9*l**2 - 11*l - 6. Let m be j(-10). Sort s, 5, m, -12 in ascending order.\nAnswer: -12, s, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 747 in increasing order.\nAnswer: -4, -2, 747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -2479*h**3 - 5*h**2 + 86*h - 3864. What is the second derivative of u(l) wrt l?\nAnswer: -14874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176601, -176624, -176661, -176712, -176777?\nAnswer: -176856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from tqktquqltqq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**4 + 156*g**3 - 1588*g**2 + 1140*g + 2888 = 0.\nAnswer: -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -6 - -13 - 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/3*(-1)\/((-7)\/(-273)*26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(33)\/sqrt(3)) + -5*-1*sqrt(3))**2*5 + (sqrt(18)\/sqrt(6)*-6 + -2 + sqrt(363))**2.\nAnswer: -20*sqrt(3) + 619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s\/(s*s**(6\/5)))\/s)\/s*s**(-5\/3))**(-1\/9))**(-35) assuming s is positive.\nAnswer: s**(-301\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*m + 18 + 76*m - 143*m)*(28*m - 61*m - 5 + 29*m).\nAnswer: -8*m**2 - 82*m - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k - 3. Let w(y) = 34*y - 14. Let m = -118 + 146. Let o(r) = m*v(r) - 6*w(r). Let g(n) = -9*n**2. Give o(g(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 579*l - 5327. Give u(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53649941?\nAnswer: 53649941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66556930 by -605063.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 948 or 963?\nAnswer: 948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -41. Suppose 5476 = 3*j + 4*h + 5121, 476 = 4*j + 4*h. Calculate the greatest common factor of v and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = t - 630, -311*t = -309*t - u - 1238. What is the highest common factor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/268 and -97\/1340?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680311198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 486 and 3195?\nAnswer: 172530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 26*y**3 + 52*y**2 + 52. Let z(s) = s**2 + 15*s + 1. Let w(x) = -3*x. Let a(n) = -5*w(n) - z(n). Determine 52*a(v) + o(v).\nAnswer: 26*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 = -4. What is the lowest common multiple of 44 and -3 - n*43*2\/8?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.11644 or 0.2?\nAnswer: -18.11644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 22671261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2 + 68891316*k - 68891313 = 0.\nAnswer: 1, 22963771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 219496279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77683834 or -77683835?\nAnswer: -77683834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 31*z**3 - 45*z - 17. Let p(q) = 10*q**3 - 15*q - 6. Let w(t) = 6*h(t) - 17*p(t). Find the second derivative of w(f) wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 0.18025?\nAnswer: -3.2445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.33 - -0.07. Let n = q - 5.4. Sort 3, n, -1 in decreasing order.\nAnswer: 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*c - 8, 4*c = c + 12. Let v be 1*(-12)\/(x + -3). Let z(q) = -q**2 + 5*q - 2. Let p be z(v). Solve p*l + 3*m - 13 = -3*l, l - 1 = m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, c: 3, t: 5, r: 4}. Give prob of picking 1 r, 2 f, and 1 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(sqrt(156) + (sqrt(156)*4 - sqrt(156))))\/((sqrt(1728)*1)\/sqrt(4)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 4*y - 2*y + y**2 to w*y + c*y**2 + n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, 1, 6, -61?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -22. Let j be (r - -6)\/(3\/(-8)). Suppose 0 = 4*i - j, 3*g + 3*i - 129 = 15. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 8, 3*z - 71 = -0*z - 2*n. Differentiate -16 - 37 - 2*a**2 - 24 + z*a with respect to a.\nAnswer: -4*a + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635*y + 15020 = 116*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9095)\/476 + 19)\/((-18)\/14).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -1 (c) 0.1 (d) 3 (e) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2346.4 and 0.1615.\nAnswer: 378.9436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438\/(-8)*4\/6*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, -6, -8, -8, -6, -2, 4?\n\"Answer: y**2 - 7*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*j. Suppose -j*p - 52 = -6*p. Let a = p + 1. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, -261, -0.3, 0.2 in decreasing order.\nAnswer: 0.2, -0.3, -0.5, -1, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81499 and 92015?\nAnswer: 2852465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 438 - -16?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 510*y + 6278. Is 73 a factor of k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4720566 is divided by 112394.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121677604 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 6*t + 14. List the prime factors of w(5).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -196 + 7. Let p(z) = 18*z - 209. Calculate the remainder when p(l) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -42. Let n(g) = -6 + 5*g - 2 - d*g. Let v be n(5). Solve -v*y - 1 = -7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - f + 3. Let c be r(-3). Let p(n) = -n**3 + 3*n + 2. Let j(x) = -x**3 - x**2 - 3*x - 3. What is the remainder when p(c) is divided by j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {e: 1, u: 1, h: 3, g: 1, l: 5, c: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 11*c**6\/420 + 3*c**5\/70 - 11*c**4\/84 - 3*c**3\/7 + 12*c**2 - 2. Factor v(j).\nAnswer: 2*(j - 1)*(j + 1)*(11*j + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2\/93, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, 10\/917, -44, 5?\nAnswer: 10\/917","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 8*y**2 - 7*y + 3. Let q be f(-7). Suppose -q*t + d = -66, 12 = 3*t - 2*t + 3*d. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 717 - 474. What is the second derivative of -9*j**4 - 255*j + s*j + 0*j**2 + 0*j**2 wrt j?\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256 + 627. Calculate the remainder when y is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 4. Let y = k - -31. Let 4\/3*c**3 + 0*c**4 + y*c**2 - 2\/3*c**5 + 0 - 2\/3*c = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/25471854 and -37\/31132266.\nAnswer: 280190394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.5 - -29.5. Let h = 113 + -93.25. Let m = n - h. What is m rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*j**3 - 2 + 94*j**3 - 53*j**3 - 2*j to the form s + z*j**3 + p*j + t*j**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2257*c**2 + 4508*c**2 - 2256*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703692 at least as big as 2703691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1410\/(-1645)*(-56)\/552?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 66332*a + 1099983556.\nAnswer: (a + 33166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1668744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 24*c**2 + 2*c - 8. Let d(f) = -115*f**2 - 11*f + 40. What is 3*d(y) + 16*z(y)?\nAnswer: 39*y**2 - y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00918361 rounded to 5 decimal places?\nAnswer: -0.00918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/63909 - -255646\/319545. Suppose 0*d**2 - 8\/5*d + i*d**4 + 8\/5*d**3 - 4\/5 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (9 - (38 - 13)) - (-1 - -70)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m - 4. Find the second derivative of 2*s**2 + 0*s**m - 18 + 3*s + 18 wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 83 - p**3 + 5*p**3 + 161.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 135*t**3 + 10*t**2 - 8*t - 5. What is the hundreds digit of d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/8)\/10)\/((-10)\/12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from yxyyppelyxexyuy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k - 72. Let h be l(8). Solve -3*j = -d + 6, -2*d + h*j - 2*j = 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + 13?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 + 12 = 2*l, 5*l + f - 31 = 0. Let q = -46 - l. Let h = q + 59. Calculate the greatest common divisor of h and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -2*u**5\/35 - 5*u**4\/14 + 22*u**3\/7 - 27*u**2\/7 + 3303. Suppose r(i) = 0. What is i?\nAnswer: -9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**2 - 1024*z - 8122. Calculate i(-8).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 at most as big as -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9470 divided by 1894.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(512) + (sqrt(512)*-2 - sqrt(512)))**2 - sqrt(512))*2.\nAnswer: 352*sqrt(2) + 4114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50.2 + -52. Let w = 3.9 - h. Let y = 7.9 + w. What is y rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**3\/3 - 13*s**2\/2 - 22*s. Let m be c(-6). What are the prime factors of (m\/3)\/((-3)\/1116*2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 3. Let d(p) = 11*p + 6. Let w(h) = -4*d(h) + 9*x(h). Let f(i) = -1. What is -6*f(n) - w(n)?\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20181256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473*g = -450*g - 40227. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/36 and 145\/457512.\nAnswer: 1372536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.348277 years to decades.\nAnswer: 0.8348277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymyy when four letters picked without replacement from {m: 7, y: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -910 from -0.4.\nAnswer: 909.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from qnqq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - 4*k)*(-4 - 1 + 4)*(-7*k**2 + 3*k**2 + 0*k**2).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2037 - -2040. Let m(y) be the first derivative of 0*y**2 + 0*y**n + y + 0*y**4 + 12\/5*y**5 + 4. What is the derivative of m(t) wrt t?\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 3*r - 18, -3 = -3*z - 40*r + 43*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3 + 10405*d**2 + 77*d + 58253528.\nAnswer: 6*d**2 + 20810*d + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10859 + 2014 = 7*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -5 + 3 - sqrt(12)\/sqrt(150).\nAnswer: -2 + 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225080 and 17680.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010868934368 to five dps.\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00904 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/249353 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 5. Suppose 3*q = -78 + 60. Let l(m) = 1 + 3 - 3. Give q*l(z) - t(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b + 2. Let m(z) = -6*z + 1. Suppose 0 = -2*w + w + 6. Suppose 3*j - 6 - w = 0. Determine j*o(u) - 9*m(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -1392.4.\nAnswer: -1392.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 154075.\nAnswer: 2157050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in -3, 2\/3, 0.6, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (22 - (17 - 14) - 6) - (-122 - 0).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -972 or -30090\/31?\nAnswer: -30090\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110001111001000 + -101100001?\nAnswer: -10000110010100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216020 is divided by 113.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 6. Let c be r(10). Let a(z) = -6250*z**2. Let n be a(c). Round n to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 319.805 + -1086400\nAnswer: -1086080.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 16. Let o = 307 + -17. Suppose -x - 4*x - 2*j + o = 0, 2*j = -3*x + 174. What is the remainder when x is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -2*j**2 - 2*j - 69. Calculate u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:03 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-35))\/((-54)\/21). Let f(m) be the first derivative of -1\/18*m**4 - 1\/3*m**2 - 2 + p*m**3 + 2\/9*m. Find s such that f(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -305*z**4 + 383 wrt z.\nAnswer: -1220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15589 and 58072.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9589 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let a = -122\/99 + 16\/9. Do m and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 15*f**2\/2 + 13*f - 2. Let a be (-20)\/5 + 8 + 3. Let k(g) = -a*g + 2 - 3 - 4 - 1. Give -13*k(y) - 6*w(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o + 197*o**5 - 7*o - 236*o**5 wrt o.\nAnswer: -780*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f. Let g(t) = -t**2 - 3. Suppose 5*v = 2*v - 9. Let c(u) = 3*u**2 + 7. Let h(d) = v*c(d) - 7*g(d). Determine w(h(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415330 (base 6) to base 10.\nAnswer: 33606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209967 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 k(l) = 7*l**2 - 13*l - 22. Let t(y) = -4*y**2 + 7*y + 12. Let h(c) = 6*k(c) + 11*t(c). Determine h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 - 1346*t**2\/5 + 109572*t\/5 - 83376.\nAnswer: 2*(t - 579)*(t - 90)*(t - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(1*sqrt(176) - sqrt(176) - sqrt(176)))\/sqrt(4))\/(sqrt(144) + (sqrt(4) - (sqrt(4) + sqrt(36))*3))*4)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -30 = 133.99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/808062 and 83\/3482.\nAnswer: 1406835942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 - -0.09. Let q = b - 0.3. Let t = 0.3884 + -0.2884. What is the closest to -1 in q, t, -0.06?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43178?\nAnswer: 2, 21589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2923572?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yryy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-4)*(-16)\/(-20). Suppose -2 = 3*j - d*j. Let i be j\/(-4) + (-35)\/(-10). Solve 0 = -4*p - i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 982 = -g, 0 = 3*g + 2*i - 1669 - 1293. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6 + 17 - 3 + l. Let u be h(-6). Find the third derivative of -6*g**5 + 4*g**5 - 6*g**u - 7*g**5 wrt g.\nAnswer: -540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, -4, 22188 in ascending order.\nAnswer: -8, -4, -2, 22188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, y: 6, u: 4}. What is prob of picking 2 u and 2 y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 less than 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 2*k = 2*o + 10, 3*k - 15 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 417647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/9)\/(4\/6). Suppose 3*t - 3 = 6. Suppose -4*a + r*k - 14 = -3*a, -t*k = -2*a + 7. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167 + 837\/5. Which is the third biggest value? (a) -5 (b) 0 (c) 3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8769928 and 9344.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 290\/143 + -24\/13. Which is the closest to 2\/7? (a) 4 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -212*j + 8. Let h be z(-7). Suppose -i = 3*i - h. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 1:19 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 - 8256*f**2 - 11360256*f - 5210570752 = 0. What is f?\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2853 - -0.7147. Is u not equal to 65.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9150725 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 12. Let u be t(6). List the prime factors of (-7)\/21 - 26\/u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 92\/5. Let l = 10586 + -10586.1. Let s = 0.1 + 0.1. Put 4\/7, s, k, l in increasing order.\nAnswer: l, s, k, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27047.603 - 0?\nAnswer: 27047.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*a - 15080, -h + 0*h = 3*a - 3026. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t - 3*t - t - 18*t to w + f*t and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10333*a - 82704. What is k(8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-3\/2)*n**(-1)*n\/(n*n**6)*n*n assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**3 - 22*j**2 - 1398*j + 2. Let k(x) = 4*x + 29. Determine 5*f(b) + 7*k(b).\nAnswer: -2*b - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4051*m - 25. Let q be n(12). Suppose 0 = -3*g - 4*f + q, -f - 5 = -10. Suppose 8*u - g = 9915. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76851 or 76850?\nAnswer: 76851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1877*z. Let s(n) = -2*n + 5. Calculate s(o(m)).\nAnswer: 3754*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 983.905413 to the nearest ten.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**2*p + d**2 + 21*d*p - 17*d + 4132*p with respect to d.\nAnswer: 8*d*p + 2*d + 21*p - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*g, 0 = 4*g - 3*k + 5*k - 12. Let n(u) be the first derivative of 0*u**3 + 0*u**4 + 0*u**g + 2\/45*u**5 + 3 + 0*u. Solve n(o) = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*j**3 - 50 + 867*j**2 - 867*j**2 + 822 + 2*j as l*j + w*j**3 + d + o*j**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (172 + 2)*(-2)\/(-12). What is the highest common divisor of 58 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.227494589 + -136215.\nAnswer: -136215.227494589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - o - o - 2 = 0, 2 = 2*o. What is the common denominator of -1 + u + (-95)\/(-18) and 139\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/1486744 and -113\/1274352.\nAnswer: 8920464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -370511 + -3?\nAnswer: -370514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 75, 215, 473, 885, 1487, 2315?\nAnswer: 3405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6 = 2*z, 7*z = -4*r + 11*z - 12. Suppose -3*a + 3720 = 5*d, 30*d - 29*d + 3*a - 732 = r. List the prime factors of d.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**2))\/v)**(-2\/51)\/(v\/(v**(1\/3)*v))**(-17) assuming v is positive.\nAnswer: v**(-97\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/30 + 1588*q**2. Let w(m) = 3*m**2 + 8*m + 16. Determine w(p(r)).\nAnswer: 12*r**4 - 16*r**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwp when three letters picked without replacement from pvvwpvtdwhhthww?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 12 = 15*b + 4*o - 10 - 15, 0 = -4*o + 3*o - 4 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12821 (base 12) to base 16\nAnswer: -6319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14158.\nAnswer: 2, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/18)*v)**49*v**(-28)*v**(6\/17) assuming v is positive.\nAnswer: v**(7367\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108.806 - -0.194. Let w = -7 - j. Let i = w - -115.9877. Round i to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, g: 3, a: 13}. What is prob of sequence ama?\nAnswer: 26\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 2*t**2 + 4*t - 5*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (-71 - (-67 + 46))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 3*c + 3. Let g be x(-1). Solve g*k - 7*k = 5*o - 26, -k = -o - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -4233424?\nAnswer: 4233442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5238267.3 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1505656?\nAnswer: 2, 17, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, 1, -4 in increasing order.\nAnswer: -18, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + -20?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002101 - -122?\nAnswer: -2001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 17*j + 41. Let h be r(19). List the prime factors of 16 + h - (-2)\/(-1).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = -0. Solve -3*r = -12, 4*r = x*w + 5 - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 1\/6 - 5\/6*d + 2\/3*d**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jddh when four letters picked without replacement from {j: 1, h: 8, w: 1, d: 6}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 2886?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - -1*sqrt(475)*5 - (sqrt(475) + 2)*6)**2 + 1.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-81) - ((-13014)\/243 - -21).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/71695 and 26\/27575.\nAnswer: 358475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * 0.0844.\nAnswer: -2.2788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -423, -0.3, 4, 6.\nAnswer: -423, -0.3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 5*a - 3*s - 0*s, 0 = 4*s. Calculate the remainder when a is divided by (4\/6)\/((-2)\/(-39)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040488060 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 21000?\nAnswer: -20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 0.00625?\nAnswer: 0.99375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 6 (c) 746\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*a**2 - 5508*a + 1760.\nAnswer: (a - 220)*(25*a - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3501 (base 9) to base 5\nAnswer: -40333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 6 (c) -1 (d) -2.5 (e) -28 (f) 835\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/136)\/((-23)\/((-5888)\/(-32)))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**3 + s. Let w be v(-1). What is the third derivative of -14*l**w + 226*l**3 - 226*l**3 - 3*l**2 - 2*l wrt l?\nAnswer: -1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 31*l = -32*l + 342. Let x(h) = -h**3 + 6*h**2 - 4*h + 28. What is x(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*-6*(-1)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5858 divided by 3\nAnswer: -5858\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 + 187. Calculate the remainder when 229 is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23469*q**2*r**2 + 1244*q**2*r + 3*q**2 wrt r.\nAnswer: -46938*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 156. Which is bigger: 50 or h?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5779 - -8247. Let a be -1*(z - -3) + 4. Let q = 4800 + a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32056325207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.332777 and -4855046?\nAnswer: 4855044.667223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0 = -v - 4, -5*s - 4 = v. Put v, -1\/2, -5, 1 in decreasing order.\nAnswer: 1, -1\/2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -102, 6, -1, 4, -0.2, 7 in descending order.\nAnswer: 7, 6, 4, 0.2, -0.2, -1, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-20))\/((-6)\/(-760)). Let l = 1068\/7 + h. Determine o so that -2\/7*o**2 + l + 2\/7*o = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060041 (base 7) in base 6?\nAnswer: 11512502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p**4 - 31*p + 31*p)*(0*p + 4*p - 6*p)*(-1 + 0 + 2)*(-3 - 2 + 1).\nAnswer: -96*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -1\/2*s**3 + s - 3\/2*s**2 - 19 - 1\/4*s**4. Let f(i) = -16*i**2 - 14*i - 14. Give 3*f(g) - 14*w(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 2*g - g + (0 + 1 - 3)*(1 - 1 + g) + 5*g - 4*g - 2*g + 1 - 1 + 2*g)*(-4 + 48 + 112) to n + i*g and give i.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100214?\nAnswer: 2, 89, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**2 + 3*n**2 - 5*n**2)*(165 - 165 + 13*n) - 258*n + 258*n + 44*n**3 to h*n**3 + u*n + p*n**2 + y and give h.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53934 (base 15) to base 14.\nAnswer: -6c99a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -22, 27, 104, 215, 366?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2697, -2, 3?\nAnswer: -2697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264.8 + -265. What is the fourth smallest value in 2\/7, 3, 0.03, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243943565 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 36*n**2 - 206*n - 1. Determine y(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**3 + 11*d**2 - 17*d + 11. Let b(s) = 3*s**3 + 4*s**2 - 6*s + 4. Suppose 42*l = -928 + 3087 - 1445. Determine l*b(v) - 6*u(v).\nAnswer: 3*v**3 + 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.02, -0.2, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 33*g + 19. What is the tens digit of d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 7*y**5\/110 + 5*y**4\/11 + 29*y**3\/33 + 6*y**2\/11 - 479*y. Let t(b) = 0. What is b?\nAnswer: -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1410)\/188*4\/3 + (-25)\/(-3).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5 - 1. Let h be (-5)\/(1\/(-4 + y)). Suppose -h*s + 30 = -0*g + 5*g, 0 = -3*g + 6. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 - -113303?\nAnswer: 112333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 590*t - 22639. Give m(34).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39830090 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5188*m + 13998*m - 1 - 1 + 5229*m.\nAnswer: 14039*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*c**3 + c**2 + 31*c + 4617 wrt c.\nAnswer: -27*c**2 + 2*c + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4577 + 0.4577. What is the third smallest value in 1\/2, c, -0.13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -13 - 2*i**3 + 1 - 11*i + i**3 + 10*i**2. Let h = 338621 + -338612. Give n(h).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169821, -339683, -509521, -679323, -849077?\nAnswer: -1018771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/((-576)\/352)*(-6 + 3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7660 - -7661. Which is the biggest value? (a) -0.1 (b) 4 (c) 0.4 (d) g (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) + 1)*5 - sqrt(242) - sqrt(242)) + sqrt(242) - ((-5 + (-1 + sqrt(242) - sqrt(242)) - sqrt(242)) + sqrt(242)))**2 + -3.\nAnswer: 968*sqrt(2) + 3990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 - g**3 + 726*g - 99. Is b(0) a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3080628075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:31 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 5. Let l = 24 - y. Let a(w) = w**2 + 4*w - 5. Calculate the remainder when l is divided by a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 21 = -21. Let n(z) = -55*z**2 + 21 + 21 - d. Let b(h) = h**2. Give n(b(f)).\nAnswer: -55*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 2*h - 3*c, -586*c + 585*c = -99*h - 3370 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 0.3 (c) 4 (d) 1.388\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose b + 1 = q - 1, q + s = -b. Let v = 1 - 0.9. Sort v, b, -0.1 in descending order.\nAnswer: v, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, g: 2, f: 4, p: 1, y: 1, k: 4}. What is prob of picking 2 g and 2 k?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055428012 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -14.9999993. What is f rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2 + -2*sqrt(605))**2 + sqrt(605))*3.\nAnswer: -231*sqrt(5) + 7276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 - 868*m\/3 + 94178\/3.\nAnswer: 2*(m - 217)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99.3 - -12.3. Let u = 85 + p. Let t = -6\/5 + 13\/15. What is the nearest to -2\/7 in u, t, -1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 3\/8, -1097, 3\/4, -4, -6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 122296957 and 0.082.\nAnswer: 122296957.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.49 - -0.9. Let u = -0.02 + w. Let v = u + 0.11. Which is the nearest to v? (a) 1\/9 (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 6, 1, -1 in increasing order.\nAnswer: -1, 0, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3115 is divided by 184?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1632634\/9 + -23573695\/144. Let z = q + -17692. Find the common denominator of z and ((-303)\/60 - -5)*(79 - 1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2 - 46*h + 9. Give c(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 + 0.13. Which is the third smallest value? (a) z (b) 3 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929 is divided by 129?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(1 - 1*(-12)\/8). Suppose 2*n - 4*f = x*n - 9, 0 = -3*f. What is the least common multiple of 30 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -2\/9 in descending order.\nAnswer: 4, -2\/9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1166, -2065, -2770, -3281?\nAnswer: -3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.087 * 0.17.\nAnswer: 0.01479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a millimeter in micrometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 2*f**2 - 2 + f**2 + f. Let p be (108 - 114) + 2*2*1. Calculate t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/119592 and -73\/6644.\nAnswer: 119592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -62\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 7. Let r = x - -4.5. Let t be 4\/(-10)*25*4\/180. Sort t, r, 0.4.\nAnswer: t, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13524 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*n + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8)\/v)**(-2\/15)\/(v**20\/((v*v*(v*v*v\/(v**(2\/41)\/v))\/v*v)\/v)))**26 assuming v is positive.\nAnswer: v**(-73814\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:09 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 55, 4404, 3, 5?\nAnswer: 4404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -808, 0.02, -0.125, -0.3, -0.04?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1245632*a**3 - 3 + 5.\nAnswer: -1245632*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 129.5 and -9753?\nAnswer: 9882.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3696*i - 10142. Let o(g) = -411*g + 1127. Let w(k) = -6*c(k) - 55*o(k). Differentiate w(f) with respect to f.\nAnswer: 429","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 minus -1314351.1?\nAnswer: 1314271.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -12. List the prime factors of ((-60)\/a)\/(2\/(-30)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 1, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + 2*f. Let v be (-5 + 2 + 1)*-1. Let x(u) = 12*u**2 - 9*u. Let j(p) = v*x(p) + 9*d(p). Let c(g) = -3*g**2. Calculate c(j(i)).\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2. Let p(t) = -t + t + 4*t**2 - 3*t**2. Determine p(u(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5989 (b) -2\/3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-11 - (76 - (42 + -23)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 + 10*o + 10. Let l(q) be the second derivative of 0 + 3\/2*q**2 - 4*q + 1\/2*q**3 + 1\/12*q**4. Suppose 0 = -5*p + p - 40. Give p*l(t) + 3*y(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 162 - (1 + -2) - 3. Suppose 4*x = 8*x - c. Calculate the remainder when x is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 165? (a) -1 (b) 5 (c) 6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854*l + 55 = 865*l. Let q(d) = -d**3 + d**2 - d. Let g(u) = -2*u**3 + 5*u**2 - 12*u. Determine l*q(o) - g(o).\nAnswer: -3*o**3 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*n**3*v - h*n**3 - 2*h*n**2*v - 181*h + 21*v**4 wrt v.\nAnswer: -h*n**3 - 2*h*n**2 + 84*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2*1)*-4. Let c be 4*-2*2\/t. Let i be 4\/1 + (3 - c). Solve i*q = 2*o - 5*o + 23, 4*q = 5*o + 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -421331 + 21044?\nAnswer: -400232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 3*z + 16 = 0. Put z, -4, 10 in increasing order.\nAnswer: -4, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 13. Let j be w(-14). Let x = 0.4 + -0.9. What is the third smallest value in x, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 759 = -357. Let v = 734 - a. Suppose 2*i + u = 182, -u = 4*i - 0*u - v. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.69609m to centimeters.\nAnswer: 3769.609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14865 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -40*(-4 - -8)\/(-4) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**8\/48 - 7*f**4\/24 + 8*f**2. Find the second derivative of u(k) wrt k.\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-40 - -34 - -15 - (0 + -9))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 324 = -2*t. Suppose -5*i = -9*i + t. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 7, 5 in descending order.\nAnswer: 7, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(5\/4)*p)*p**(1\/22)*p**(3\/13)*p**(2\/29) assuming p is positive.\nAnswer: p**(-15009\/16588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by -4?\nAnswer: 93\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4284987?\nAnswer: 3, 7, 204047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19340, 19668, 19996?\n\"Answer: 328*s + 19012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31735.53 microseconds in days?\nAnswer: 0.000000367309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r\/(r\/r**(-29)))*r))\/r*r*r*r**(-3\/25) assuming r is positive.\nAnswer: r**(-703\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -316.971 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65190?\nAnswer: 2, 3, 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -49, -51, -51, -49?\n\"Answer: n**2 - 5*n - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v - 7. Let o(x) = -6*x - 5. Determine 8*o(r) - 5*z(r).\nAnswer: -3*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 3 + 5 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -87686\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -661542*b**5*v**2 - 15*b**2*v**2 + 558*b**2*v - 4*b*v**2 - b + v wrt b.\nAnswer: -39692520*b**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = -4*d + 5*g, d - 4*g + 1 - 99 = 0. Let z = 22 - 10. What is the highest common factor of z and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*(-5)\/10*4\/6. Solve -l*n = 2*q + 18, -4*n + 4*q = 3*q + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12*((-40)\/12 + 3) + 73 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 152 = 406. What is the remainder when j is divided by 2*5 - (0 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(72))*-1 + sqrt(72) + ((-1 + sqrt(72))*4 - sqrt(72)) + 1*sqrt(10)\/(sqrt(405)*-1))**2.\nAnswer: -1288*sqrt(2)\/9 + 52895\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, -0.1, 366732, -1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-7 + 5) - (0 + -1). Solve -k = w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 431116500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -4, 2, -11, 6, -278, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, p: 6, t: 2, a: 2, q: 3, y: 1}. Give prob of picking 1 i and 1 a.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3509 divided by -4.\nAnswer: 3509\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(2) - sqrt(18)) - sqrt(2))**2 + 1 - ((sqrt(2) - sqrt(32)*-6) + -5)) + 2)*-2.\nAnswer: -692 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3043*f = 3055*f - 336. What is the lowest common multiple of 35 and f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16a5a4b (base 12) to base 15\nAnswer: -62b835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/2*(0\/(-4) + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 4*w - 2*w**2)*(39 + 108*w + 89*w - 18*w + 17*w).\nAnswer: -392*w**3 - 78*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 14 = 31. Let y(p) = 28*p + 1. Suppose 4*f - 3 = 1. Calculate the remainder when y(f) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 51040?\nAnswer: 1276000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*z - 10 = 0, -4*z + 3 + 4 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1 - (-33 + 39)) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -5 - (-56)\/14. Sort 4, -58, j in ascending order.\nAnswer: -58, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 258\/(-54) - (-4)\/(-18). Let m be (-3)\/i + (-6)\/(-15). Let -3 - 4*g**2 - g**3 + m + 0*g**2 - 2*g - 3*g = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920188 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (232\/20)\/((-4)\/(-5)) and 68\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 68757?\nAnswer: 1581411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 521 - 179. Is -58 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-3\/7)*x))\/(x*x\/x**(-3))*(x\/((x\/x**4)\/x))\/x**7 assuming x is positive.\nAnswer: x**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 0*j**2 + 74\/3*j**3 - 1\/4*j**4 + 64 - 5*j**5 + 0*j. What is the third derivative of q(k) wrt k?\nAnswer: -600*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 6*f - 11. Calculate q(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juupo. What is prob of sequence ojop?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 4*k**4 + 16 + k**4 - 2*k**2 + 2*k**2 + k**4 + (-2*k + k + 2*k)*(-k**3 - 1 + 1) + 7*k**4 - 2*k**4 - 3*k**4.\nAnswer: 4*k**4 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-4\/7))*l**(-2\/35) assuming l is positive.\nAnswer: l**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 + 466*n - 3446. Determine q(8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(160))\/(-3*sqrt(72)).\nAnswer: -4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-110.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-5) - (-12)\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13323 + 5?\nAnswer: -13314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*u + 13*u - 88. Let b(a) = -3*a**3 - 97*a**2 - 23*a - 32. Let p(q) = q**3 + 34*q**2 + 8*q + 11. Let t(f) = 6*b(f) + 17*p(f). Give t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c. Suppose -2*s + 178 + 170 = c. Suppose -x - 5*x = -s. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-2 - 24\/(-15)). Let v be ((-12)\/z)\/((-3)\/(-15)). Let r = v - -2. What is the nearest to 2\/5 in -2\/7, r, -5\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) - 3*sqrt(1500) - sqrt(1500)) + sqrt(1500))\/(sqrt(5) + (sqrt(605)*3 - sqrt(605))) - ((-1*sqrt(6)*-2)\/(sqrt(198)\/sqrt(11)) + -1).\nAnswer: -106*sqrt(3)\/69 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 7, g: 6, d: 3}. What is prob of sequence ydd?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -17, -2\/11, 0.\nAnswer: -17, -2\/11, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 41*h = 39*h + 29552114, 2*s = -2*h + 19701414. What is s rounded to the nearest 100000?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - 3*k**4 + k**4 - 167*k**3 + 167*k**3 + 27*k**4 + (-4*k + 3*k + 2*k)*(4*k**3 - 5*k**3 + 0*k**3) + 2*k - 2*k + 3*k**4.\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.13082 - 0.13082. Which is the second biggest value? (a) 5 (b) i (c) -4 (d) 0.1 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2255002 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1011 divide 15527326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2369, 9308, 20825, 36926, 57617, 82904?\n\"Answer: v**3 + 2283*v**2 + 83*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + u - 3132, 7 = -4*u - 9. Let w = -293 - r. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3\/(-9)*1). Let p(y) = -y**2 - 3*y + 2. Let q be p(r). Suppose 0 - 2 = -q*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - g + 2780 = 0, 5*t + 28*g = 32*g + 6963. What are the prime factors of t?\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*m**3 - 3*m + 2*m + 0*m + 2*m.\nAnswer: -460*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -2947*a**4\/2 + 6313*a**2 + 14264. What is the second derivative of k(z) wrt z?\nAnswer: -35364*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 10*k**6 + 8*k**3\/3 + 2*k - 236. What is the third derivative of m(n) wrt n?\nAnswer: 3600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 143 + 817 = -5*x, s - 3*x = -952. Let w = -933 - s. Suppose 0 = 2*j + j - 165. Calculate the greatest common factor of w and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -41.8. Let x = 9.4 - l. What is x rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2166, 17378, 58654, 139020, 271502, 469126, 744918?\nAnswer: 1111904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81, 25, -65, -177, -299, -419?\n\"Answer: 2*l**3 - 29*l**2 + 17*l + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.27498 nanograms in kilograms?\nAnswer: 0.00000000000327498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17753, 35492, 53217, 70922, 88601, 106248, 123857, 141422?\n\"Answer: -v**3 - v**2 + 17749*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/3 (b) 6 (c) 36\/11 (d) 5 (e) 696 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 6 + 15 - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67\/3 + 23. Let y = -0.3 + 0.8. Let t = y - 0.3. Which is the biggest value? (a) o (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllddllllllldlz. What is prob of sequence ddd?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18775525 - 10807725. Suppose 2*w + q = 1567800. What is w rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1391 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -14. Is (-1)\/(2\/y)*-2 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 323762082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 156*l**2 + 8*l - 628. What is c(78)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -1910150?\nAnswer: 1910145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 355 + 26?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 857810610 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1321963 decades in centuries?\nAnswer: 0.01321963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134c8a (base 16) in base 14?\nAnswer: 24ccd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 > -226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(315)*2)\/(sqrt(45)*-2).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = -14*f + 22*f. Solve 0*m = -f*m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13352 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 20*s + 38. List the prime factors of r(6).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/4)\/(8 + 220\/(-30)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1704228226 to the nearest integer?\nAnswer: 41282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269019 is divided by 7452.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 1, 5, 1\/3, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 20, -4*p + i + 4 = 1. Suppose -a + 28 = p*l - 2*a, l = -a + 14. Calculate the least common multiple of l and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmmmtjtit. Give prob of sequence im.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -1\/2 (c) -6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 11487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0213 times 80\nAnswer: 1.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22188 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8. Let i(l) = -l - 9. Let q(o) = -17*o**2 - 165*o + 57. Let z be q(-10). Calculate z*v(f) - 6*i(f).\nAnswer: 6*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 541*j**2 - 2*j + 2. Suppose -3*h + 5 = 2*h. Suppose 0 = -i + 1, h = -4*k + 8*i - 3*i. Is g(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 527 - 408 = 5*k, 4*k = 5*m + 82. Which is the closest to -0.1? (a) -0.5 (b) 2 (c) k (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.36609 (b) -0.3 (c) -196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171 + 172. Which is the closest to -1? (a) 2\/13 (b) 0.6 (c) h (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116b1 (base 13) to base 9.\nAnswer: -47702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 9611 = n - 10*g, -2*g = n - 9607. What are the prime factors of n?\nAnswer: 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7753077 decades?\nAnswer: 7.753077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09001, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1886 in -0.3, 9, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15495 - -1.84505. Which is the closest to -2\/5? (a) n (b) 5 (c) 0.44 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 44221270?\nAnswer: 486433970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + -11 + (-4 - -26). Suppose 3 = 2*a - 3. Suppose 0 = h*j - a + 21. Put 6, j, 2 in decreasing order.\nAnswer: 6, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 17150*v**2 - 34297*v + 17148.\nAnswer: -(v - 17148)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*q - q + 2*i, 2*i + 2 = -q. Let f(v) = -4 + 6*v + q. Let h(n) = -2*n. What is h(f(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 - 136. What is the second derivative of -5*b - y*b + 42*b**5 - b**2 + b**2 wrt b?\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.659836cm?\nAnswer: 26598360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.62 - 3361.62. Let j = n - -3751.2. Round j to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3*(-33 - -4) - -1 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15354, 104, -2, -3\/2, -0.4 in descending order.\nAnswer: 15354, 104, -0.4, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-62424)\/(-340))\/18)\/(3\/10).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3268 divided by 17127\nAnswer: -3268\/17127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*c - 4 = 0, 0 = 4*t + 2*c - c - 100. Let a = -24 + t. Suppose -2*z + 0 + 180 = a. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 11*d - 14*d**3 - 1 + 12*d**3 to the form y + x*d**2 + v*d + c*d**3 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1.32 (b) 0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -18, -2\/25, 2, 1, -3\/4, -6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**2 + 5*p**2 + 5 + 3*p - 7*p. Let n(r) = -6*r**2 - 11*r + 14. What is -11*d(o) + 4*n(o)?\nAnswer: -2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 9:06 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r - 29 + r**3 + 18*r**3 - 3*r**2 - r**3 - 16*r**3. What is the hundreds digit of l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.603661 centuries?\nAnswer: 0.9603661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 10) to base 7\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -42*b**2. Let m(g) = -127*g + 4. Determine c(m(o)).\nAnswer: -677418*o**2 + 42672*o - 672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32511*d + 8058*d + 8116*d + 8219*d + 8120*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, n: 2, e: 1, w: 1, l: 3, f: 8}. What is prob of sequence ne?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 18. Suppose x - y = -4. Suppose 5*s - 6*s = -x. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 266 + 153 - 7*f + 3*f + 486 - 196 to x*f + j and give j.\nAnswer: 709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2 - 2)*(-2 - 3 + 3)*(2*s**2 - 2*s**2 - 2*s**2) + (0*s + 0*s - s)*(-7*s**2 + 0 + 0).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 18*m**3 - 37*m**2 + 3*m + 11. What is l(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102073?\nAnswer: 103, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 2:44 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 - 11 = -f, -4*o + 3 = -3*f. Calculate the least common multiple of (6\/(-4))\/(o\/(-4)) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/40 + 869\/40. Let r be 2 - 1 - 3444\/(-5). Let g = -27247\/40 + r. Calculate the common denominator of g and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4490212?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 7*l = -208. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 279 - 133. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 4) to base 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5499.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -73933001 to the nearest 100000.\nAnswer: -73900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -353071, 3, -19 in increasing order.\nAnswer: -353071, -19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 42 + 2 + (-595 - -526)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44 - -5)\/((-63)\/(-18)))\/(6\/(-28)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1308, -5218, -11692, -20730, -32332, -46498, -63228?\nAnswer: -82522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 0.4033285\nAnswer: -7.259913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 8. Let m(t) be the third derivative of -t**3\/6 - 2*t**2. Let i(z) = -g(z) + 4*m(z). What are the prime factors of i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8742455*r**2 - 377*r + 943 wrt r?\nAnswer: -17484910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114149, 2, 228 in descending order.\nAnswer: 228, 2, -114149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - -3686*15\/12*2. Let w = 15513 - q. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s**3 + 2*s)*(-65 + 37 - 119 - 62).\nAnswer: -418*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120500 is divided by 1526?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) - 8\/(-6). Let p(j) = -3698. Let o(b) = 2219. Let y(z) = -5*o(z) - 3*p(z). Let x(f) = -4*f - 8. Determine c*x(l) - 6*y(l).\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a*a*a**(-2\/15))\/a)*a))**(-17) assuming a is positive.\nAnswer: a**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126314807?\nAnswer: 29, 4355683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(190) + 1*sqrt(190)) + sqrt(190))\/(2*sqrt(640) - sqrt(640)) + 3 - -4*(-1 + (sqrt(19) - (sqrt(209)\/(-2*sqrt(11)) + sqrt(19))**2)*-5).\nAnswer: -169*sqrt(19)\/8 + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.71 - -0.52. Let a = y - -1.69. What is the closest to 0.1 in a, 0.4, -56?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-2))\/2 + 0. Let c be 7*(3 + (-4 - -2)). Let f = c + n. What is the smallest common multiple of f and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19772344 divided by 4.\nAnswer: -4943086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21325221 + -303?\nAnswer: -21325524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/3, 5, 2\/101, 0.35, -2?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61081, 244324, 549723, 977272, 1526965, 2198796, 2992759?\n\"Answer: -j**3 + 61084*j**2 - 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -165 - -192 - (30 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 d when three letters picked without replacement from {d: 4, g: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 9*n - 5*n. Suppose 95 = -f - n. Let u be (-1)\/(-6)*1 - 725\/f. Solve -8 = u*b - b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 328*x - 76743. Determine l(234).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 261. Calculate the highest common factor of 69 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 15.1\nAnswer: 2.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161489.\nAnswer: 167, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 25. Let x be w(15). Let p be (-2)\/(-56) - (-2)\/8. What is the closest to p in x, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = 5*x - 14, -4*x - 2*w = 0. Let r be (-4)\/(-1 - -1 - x). Solve 0 = 4*g - 3*i + 8 - 0, 0 = r*i - 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*22\/(-14520)*-33.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/15 + 118*n**2. Let x(t) = -29*t - 2. Calculate m(x(j)).\nAnswer: -3364*j**2 - 464*j - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*y - 1389 + 112 = 1215. Solve 2*n = 4*r + y, 4*n + 83*r = 86*r + 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6688 and -27\/12188.\nAnswer: 1852576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -127, -851.\nAnswer: -851, -127, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 771405391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3675.793 kilometers to meters.\nAnswer: 3675793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 + 95*u**2 - 567*u + 2. Let f be c(7). What is the greatest common divisor of 35 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3455, 3405, 3351, 3299, 3255, 3225, 3215, 3231?\nAnswer: 3279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27475697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -82, -89, -98, -109, -122?\n\"Answer: -p**2 - 4*p - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 32221?\nAnswer: -32212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j + j + 6*j in the form m*j + s and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1 (b) 0.1 (c) -3.5 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) + 38\/14. Let m(o) = 16671*o - 1. Let v(f) = -16672*f. Let p(g) = 4*m(g) + 3*v(g). Let d be p(c). Round d to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -1370928.\nAnswer: 1370928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.4, 6661\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**3 - 79*v**2 + 19*v - 20. Let b be q(-20). Let p be (4 - (-2)\/(-2))\/1. Let z be -1 - 0 - (-4 + -10). Solve -z = 2*a - x, b*x - 9 = -p*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 4, z: 2, b: 2, s: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44.89 + -44.39. Put 178\/7, s, -2 in increasing order.\nAnswer: -2, s, 178\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 8025366?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/12 + 7 + 7940\/(-16). Let d = b + 529. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/13)*w*(w\/w**9)\/w*((w\/w**(4\/7)*w)\/w)\/(w**(1\/3)\/w) assuming w is positive.\nAnswer: w**(-1927\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -265.7 + 266. Which is the nearest to j? (a) -3 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 138*f - f**2 - 1 - 270*f + 134*f + (0*f - 4*f + 3*f)*(2 - 2 + 2*f).\nAnswer: -3*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13931, 13930, 13927, 13922, 13915, 13906, 13895?\nAnswer: 13882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 2*t**2 + 5*t + 149. Let y be 18 - 13 - (-1 - (-5 - 1)). Is s(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-2)\/(((-4)\/(-285))\/(268\/4020)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10525947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u**3 + 89*u**3 - 35*u**3 - 24*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 12. Let i be j(-5). Suppose -g + 9 = 3*u - 2, i = -4*g + 5*u. Let a(w) = -1 - 6*w**2 + 13*w**2 - 12*w**g + 2*w + 0. What is a(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/4 and 29\/3921?\nAnswer: 15684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1078\/(-378) + 2)\/3. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.079999152 - -0.08. What is s rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.3, -2\/13 in descending order.\nAnswer: 1.3, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 19*d + 1. Does 10 divide x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - d + 2. Suppose -3*r = -3*h + 3, -6 = -5*h + 2*r + 5. Suppose -h*v = 2*v. Let b be n(v). Solve 3*w + u = -b*u + 6, 0 = 4*w - 5*u - 26 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 6*y**2 + 2*y**2 + 3*y**2)*((0 + 3 - 2)*(1 + 2 - 2) - 1 + 1 + 1 + 6 - 4 + 0 - 3 + 0 + 2).\nAnswer: -3*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 0.1, 8 in ascending order.\nAnswer: 0.1, 1\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 204*x + 443*x - 4529 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 6 + 27. What is the nearest to -2\/9 in -4\/9, r, 2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.751 + 0.251. Which is the fourth smallest value? (a) z (b) 3 (c) 8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5217417349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6764 + 7424. Does 60 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*m**3 - 7*m**3 + 0 + 0.\nAnswer: 45*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(sqrt(128) - ((2*sqrt(128) - sqrt(128)) + sqrt(128))) - -2*sqrt(242)*4)**2*3.\nAnswer: 196608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 2339\/59?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*p - 8*p. Suppose -3*q + p*q + 24 = 0. Let u be q\/(-4 + (-6)\/(-2)). Solve y - u = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 - -1037\/5. What is the second smallest value in 3\/8, m, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a kilometer in meters?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6945*t**4 - 1330*t**3 - 2*t**2 + 3862570*t?\nAnswer: -83340*t**2 - 7980*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p**2 + 158*p - 840. What is the lowest common multiple of 720 and v(5)?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4983 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32788, -65577, -98366, -131155, -163944?\nAnswer: -196733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t + 75. Let q be a(12). Find the second derivative of 6*m**3 + 20*m - 28*m**4 - 18*m**3 + 12*m**q wrt m.\nAnswer: -336*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - 14*k**3 + 8*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {i: 3, j: 1, p: 1, k: 2, n: 3, t: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - -5f8f8?\nAnswer: 5f90a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4146734695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 21*d**2 + 32*d - 7. Let a be m(3). Let y = -5923\/21 + a. Let q = 1\/615 - 4853\/820. Find the common denominator of y and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((1 + sqrt(567))*-6 - (sqrt(567) + sqrt(567) + 0 + -3)) - -5*(sqrt(567) + 1 + sqrt(567) + 5 + ((sqrt(567) + -1 + sqrt(567))*-3 - sqrt(567))))**2.\nAnswer: -27324*sqrt(7) + 619579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 - -115.9. Let g = -17.13 + p. Round g to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 122, 125, 132, 143, 158, 177?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 17*u**2 + 42579*u - 85714*u + 43135*u.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10896*f**2 - 12564 wrt f.\nAnswer: 21792*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 53 + 18 = 0, 7*f - 3 + 12 = f - 13*p + 118 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*o**2*t**3*x - o**2*t**2*x + 5*o**2*t*x - o*t**3 - 2*o*t**2*x - o*t*x + 2*t**3*x + 21*t**2 wrt t?\nAnswer: 384*o**2*x - 6*o + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 42 - 30. Suppose -36824 = -n*m - 3*i, 4*m + 8*i - 7*i - 36816 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84 in -22, -12, 0.5, 2\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32827 is divided by 217.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -g + 29, 1205 = -14*f - 16*g + 1105 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o + 1236 = 45*o - 348 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-25)\/4)\/(1\/(-4)). Suppose -118*f + 240*f - 36 = 113*f. Suppose -88 = -f*r - 4*w, r = 2*r + 2*w - o. What is the remainder when r is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) -3 (c) -2 (d) -0.046\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 5*p + 6. Let b be q(5). Let m = 353 - 349. Let z = -2.06 - -0.06. Sort b, z, m.\nAnswer: z, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -338716 - -1360622158\/4017. Let z = -62003\/10712 + b. Calculate the common denominator of 2 + (0 - 2\/16) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309264 at most as big as 309391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 244\/(-28) + 6\/(-21). Sort -8, 0, f.\nAnswer: -8, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*j*n**3 - 50*j*n**2 - 4*j*n - 10208*j - n**3 wrt n?\nAnswer: -288*j*n - 100*j - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 1005*k**2 - 120*k**2 + 6*k + 1273*k**2 - 16*k**3 - 3036*k**4 + 878*k**2 + 10*k = 0.\nAnswer: -1, -4\/759, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 2, -0.5, 5\/3, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 64*p + 14. Let i be s(4). Let x be (1 + 1*-4)*5125\/123. Let t = i + x. Calculate the greatest common divisor of t and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24666976, -24666948, -24666920, -24666892, -24666864, -24666836?\nAnswer: -24666808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*3\/(-18))\/(2\/(-12)). Sort -2, 5, m, 1 in decreasing order.\nAnswer: 5, 1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 2*m - 12 = -13*v, -3*m = 2*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**3 + 11*g - g**2 - 23\/8*g**4 + 0. Let r(n) = -2*n. Calculate s(r(i)).\nAnswer: 138*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 659 + -658.7691. Let d = 0.219 - p. Round d to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -12*g**2 - 5*g + 18. Let l be n(-2). Let q(h) be the first derivative of 5*h**3\/3 - 2*h**2 - 29*h - 1. Is q(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -345*h + 2 + 142*h - 2*h**3 + 156*h as r + f*h + t*h**3 + o*h**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**5\/60 - 2*g**2 - 62*g. Let l(o) = 52*o**2 + 0 - 22*o**2 + 0. Give w(l(s)).\nAnswer: -900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 269\/(-267) - 1\/(-1). Let r = -1054\/1869 + n. Are r and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17895 by 5965.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 4. Let s be k(-7). Suppose 4*q - b = -5*b + 6300, -s*q + 4*b = -4760. Suppose -16*n + q = -12*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 92*x**2 + 4334*x - 804. Give y(-48).\nAnswer: 3132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l + 7. Let s(a) = 11*a + 5. Let v(x) = -3*o(x) + 4*s(x). Calculate v(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 11 + 46 = 0. Let o(x) = x**2 + 9*x - 7. Let j be o(-10). What is the least common multiple of a and ((-9)\/(-1))\/(4\/8*j)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -49*u**3 - 71*u**2 + 11*u + 11. Let b(x) = 10*x**3 + 14*x**2 - 2*x - 2. Let z(q) = -11*b(q) - 2*i(q). What is the third derivative of z(y) wrt y?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -83*n**8\/84 - n**6\/60 - 103*n**5\/12 - 1591*n**2. Find the third derivative of i(f) wrt f.\nAnswer: -19920*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/52)\/(12\/(-142)) and (-1)\/(-8)*(-534)\/3.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/22 - 36\/44. What is the tens digit of 1\/j + 12 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.5596376ms to days.\nAnswer: 0.00000015694025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 5. Let l = t - -4.00072. What is l rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1669560 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a. Suppose 31 = 3*r + 5*x, -4*x + 19 - 1 = -r. Let m(q) = -4*q**3 - 2*q. Give r*y(z) - m(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 + f**3 - f**3 + (-f**2 + 2*f**2 - 4*f**2)*(-4*f**2 + 2*f**2 - f**2) as a*f**2 + x*f + n*f**3 + m*f**4 + u and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, l: 3}. Give prob of picking 1 h and 1 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010101000110111000 (base 2) to base 14.\nAnswer: -3129cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 41535.\nAnswer: 207675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c - 24. Let p(d) = -2*d + 9. Let t(z) = -3*k(z) - 8*p(z). Let i(a) = 4*a - 13. Calculate -i(b) + 3*t(b).\nAnswer: -b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1195*n**3 - 6*n - 21. Is w(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/6)\/(z\/(z\/z**(-2\/9))))\/(z*z**(-3\/7))**30)**(-5) assuming z is positive.\nAnswer: z**(10555\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31301 divided by -328\nAnswer: -31301\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-30)\/g)\/g**(34\/3))\/(g**(-18\/5))**(2\/19) assuming g is positive.\nAnswer: g**(-11957\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6) + 42\/4. Suppose q = 2, o - 4*q + x - 3 = 0. Let d = o + 2. Solve 5*c = d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2859*h - 143090 = 197131 for h.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 29\/6 (c) -3 (d) -5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 - -82. Let y = u - -38.09. Round y to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 1\/9 (c) 2 (d) 1\/4 (e) 22 (f) -0.0259\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 8*w - 10. Let p be q(7). Let j = 4 - -1. Which is the third smallest value? (a) p (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l + 25 - 21 - 4 + 19*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**4\/24 - 19*y**2. Let n(w) = 7*w - 1. Calculate -5*g(f) - n(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61184*d*h**3 - 7*d*h**2 + 563996*h**3 + h**2 with respect to d.\nAnswer: -61184*h**3 - 7*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*s + s. Suppose 73*x + 4*w = 79*x - 44, 2*x - 3*w = 38. Let m(r) = r**2 - 1. Let k(a) = a**2 + 2. Calculate s*k(o) + x*m(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35381 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2141511423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97990 is divided by 48986?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 4. Let q be (-18 - -2)\/(2 - 4). List the prime factors of f(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 119, -1.\nAnswer: -2, -1, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -164191, -328382, -492573, -656764, -820955, -985146?\n\"Answer: -164191*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:59 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 - -6424414175?\nAnswer: 6424414598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z + 12. Let m be (14 + -29)*(-1)\/(-3). Is p(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.292, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10912 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-180)\/7)\/(213\/(-1988)). Calculate the highest common factor of 440 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m - 62*m + 100 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 24*y + 144. Determine h(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 94.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.35? (a) 0 (b) 7\/4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (20 - (6 + 13)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10919*g - 58475 - 487475 = 0 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95.52 - -5.88. Let u = m + -101.399998241. What is u rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f - 2*f + 3 + 8*f - 4*f + 1. What is d(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19597, -19760, -19925, -20092, -20261?\n\"Answer: -f**2 - 160*f - 19436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 99e (base 16) to base 11\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/10)\/(-3 + (-255)\/(-75)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40332 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/288 and (1\/1152)\/(183\/(-22143)).\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/5 + 13\/20. Let l = -12 - -12. Which is the closest to l? (a) 3\/2 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -35a?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2468 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 - 12 - 2*w**2 + w**2 + w**2.\nAnswer: 6*w**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 4*s - 4. Let o = -5 + 6. Suppose -17 + o = -4*p. Suppose -p*v = 4 - 16. Calculate r(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z - 8. Let f = 10 - z. Solve 3*j + f*j = -10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16200 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/10 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0881 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37051.3998 - 37046. Let n = f + -5.4. What is n rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3400917665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 442053149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Let j(g) = -6*g**2 - 7*g**2 + 16*g**2. What is j(i(s))?\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1680 = -4*j, j + 4*m + 420 = 2*j. Let s(b) = -7*b**3 + 2*b**2 + 3*b - 1. Let p be s(-3). Let n = j - p. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2*(-101 - (-2 + 7)). Let r = x - -146. Is r a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (-32000)\/544 + 13\/1.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 4, 9, -5, 2, -93, 29 in ascending order.\nAnswer: -93, -5, 2, 4, 9, 25, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4683048225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -c + 53, -77 = -c + 1118*q - 1122*q. Round c to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 170*k**2 + 150*k - 25496. Calculate r(170).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**4 + 162*v**3 - 144*v**2 - 786*v - 477 = 0.\nAnswer: -1, 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 7:17 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = l + 4*l - 2*v, 4*l - v = 19. Suppose l*j = 1745 - 237. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -469, -464, -459, -454, -449?\n\"Answer: 5*x - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**2. Let d(w) = -w - 5. Let z(c) = c**2 + 6*c - 1. Let o be z(-6). Let u(j) = 1. Let t(s) = o*d(s) - 5*u(s). What is l(t(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0168232 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*q**2 + 5230*g*q**3 - 2*q**3 - 59896*q**2 with respect to g.\nAnswer: 2*g*q**2 + 5230*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -835, -832, -829, -826, -823, -820?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 5:34 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 68, 0.2, 5, 52, 7, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69058 is divided by 34073?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19*1 + 0\/(-13). Suppose 0 = i - 1 - s. Solve 2*x = 7*x + i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92700 rounded to the nearest 1000?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 m, and 2 r when four letters picked without replacement from {r: 3, d: 5, o: 3, m: 1, u: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 101. What is the derivative of -l + 206*i + 114 + 74 - 42 wrt i?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61d35e - 10b?\nAnswer: 61d253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 6*a**2 + 3*a**2. Let h(i) = -2*i. What is h(b(s))?\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)*2\/1. Find the third derivative of -1402*l**g + 16*l**3 + 1415*l**2 - 47*l**3 wrt l.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g + 5*g = 114. Is 3 a factor of 513\/(-36)*8\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6314.1745 rounded to the nearest one hundred?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4.6*45\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 287406 and 223538.\nAnswer: 2011842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480 a factor of 402560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5087*k**3 + 7376*k**3 - 1698*k**3.\nAnswer: 10765*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 394.55 - 393.55. What is the third biggest value in 6, -5, k, 8\/5, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.1 + -3.9. Let q(w) = -w + 1. Let x(n) = -n**3 + 4*n**2 - 4*n + 4. Let p be x(3). Let b be q(p). Sort 3\/4, m, b in descending order.\nAnswer: 3\/4, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 919 + -542. Suppose 0 = -3*d + v + 70. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 43*w + 405\/2.\nAnswer: (w + 5)*(w + 81)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9443997, 9443999, 9444001?\nAnswer: 9444003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*l + 12. Let q be 27\/2 + (-2)\/4. Let b = q + l. Solve -b*u + 2*u + 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 20 = -t. Suppose 16 = 2*a - t*b, -4*a + 2*b = a - 24. What is j in j**5 - 4\/3*j**3 + 2\/3 - 2*j**2 + 1\/3*j + 4\/3*j**a = 0?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239624.8186 - 0.11\nAnswer: -239624.9286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38086 (base 9) to base 2.\nAnswer: 110001111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.63 - 5.\nAnswer: -41.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(31 + 12936\/(-408)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a hour?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9316346 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/10 - (-1)\/(-2). Suppose 4*q - 34 = -2*s, 3*q + 4*s - 2 - 16 = c. Let m be (2 - -5) + 2 - -1. Calculate the highest common divisor of q and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Let q(u) = u**2 - u. Suppose 2*m - 8 = -2*v, -4*m - 8 = -0*m - 4*v. Let i(r) = -4. Let w(c) = m*q(c) + i(c). Give w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -3 (c) 0.1 (d) -132 (e) 10 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(17) - sqrt(17)*2) + -2 + sqrt(17)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*g + 16 = 0, -t - 150 + 146 = -4*g. Solve t*k = -3*c - 18, 2*k - 11 + 23 = -3*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgb when three letters picked without replacement from {s: 2, m: 1, r: 2, b: 6, i: 1, g: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 10. Let j be (-3 - (-3 + i)) + -4. Let u be j*(-1)\/((-4)\/(-52)). What is the greatest common factor of u and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*2*(-11)\/(-99)*9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 o when four letters picked without replacement from {o: 9, p: 10}?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/17601108 and 151\/133140.\nAnswer: 88005540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2 (c) 8 (d) 7 (e) 1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 708237 and 236079?\nAnswer: 708237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and 12?\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.16228 or 10\/7?\nAnswer: 0.16228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 0.5, 2\/15, -4, -0.05, -0.579?\nAnswer: -0.579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2850 and 52\/475.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**(4\/33))**(-16\/3)*(f**5\/f*f\/(f**11*f*f))**(40\/9) assuming f is positive.\nAnswer: f**(-3392\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7*6*(-12)\/126\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 8*n**2 + 8*n - 10. Let k be u(9). Calculate the highest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 381. Let s be u(0). Let a(b) = b**2 + s + b - 1725 - 8956. Let f be a(0). What is f rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**5\/15 + 11*y**2. Let s(o) = -o**2. What is s(l(g))?\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/21 + 12*w**2\/7 - 94*w\/21 + 20\/7 = 0.\nAnswer: 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/12169025 and -64\/291125.\nAnswer: 60845125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(6*sqrt(1377)*2 - -1*(1 + sqrt(1377) + sqrt(1377))))**2 + -1.\nAnswer: 9072*sqrt(17) + 9716147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -y + 2*w, 2*y + 4*w + 1 = -9. Let j be (-4)\/(-6)*3\/(-1). Is j at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 4*s - 2. Let t be 2 + -3 + 1 + 0. Let z = -4 - t. Determine a(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170695?\nAnswer: 5, 234139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -2\/3*j**3 + 2*j**2 + 1\/4*j**4 - 5*j - 5. What is the tens digit of g(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214275582.\nAnswer: 2, 13, 173, 499, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7247 + 3*u**2 + 7221 + 71*u**2 + 50*u wrt u?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*o = -179*o - 3796 - 200 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5670363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12617563*b**4 + 2304597*b**2?\nAnswer: 302821512*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, g: 1, a: 5, s: 6}. What is prob of sequence sai?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = 12. Let m be 0 - (21\/a + 3). Solve q + m = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 3, -2\/7, -0.173 in decreasing order.\nAnswer: 3, 2\/7, -0.173, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 6:29 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n + n**2 - 1 - 15*n. What is a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 + 68*p**2\/3 - 232*p + 720.\nAnswer: -2*(p - 18)*(p - 10)*(p - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*h = -32, 0 = -3*u + 5*h - 6*h + 8. Let w be 18\/u*52\/39. Suppose 3*d = -5*v + 24, -12 = 2*v - 7*v + d. Solve 0 = -4*y + y + v*l, -w = 3*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**5\/5 + o**4\/3 - 5*o**2\/2 - 3*o. Let q(l) = 3*l**3 - 3*l**2 + 4. Give -3*q(m) - 2*z(m).\nAnswer: -m**3 + m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -48. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4))**(-29)\/(p\/(p\/(p\/(p*p*p**(-5)))))**(-1\/24))**(-1\/8) assuming p is positive.\nAnswer: p**(-697\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -2 (c) -18 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 + 1)*-235 - (-44)\/22 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*s - 20, -8 = -s - s + h. Suppose -s*r + 2 = 2*d - r, 9 = -d - 4*r. Suppose 5*f - 2*f - 30 = 0. Calculate the least common multiple of d and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*j)*(-4422 - 12*j + 4422)*(3*j - 1 - 2 + 4 + (-4 + 4 + 1)*(2*j - 5*j + 4*j)).\nAnswer: -96*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**4 + 145*v**3 - 1820*v**2 - 4180*v = 0.\nAnswer: -38, -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659360, 1318426, 1977488, 2636546?\nAnswer: 3295600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 317349495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/7 (b) -0.29 (c) -0.09 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 31 = -4*q, -2*r - 431*q + 435*q = 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25572 is divided by 10714.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**6\/120 + q**5\/12 - 5*q**3\/6 + 57*q**2. Let g be s(-5). Let b be ((-9)\/(-2))\/((-8)\/(-16)). Sort 4, g, b.\nAnswer: g, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 3434?\nAnswer: -3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232 and 348.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4 - 124*p**3 - 112*p**2 + 240*p = 0.\nAnswer: -30, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*o + 257 = -1834, -j + 2097 = -2*o. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5 = -d, -d + 58*h - 53*h + 5 = 0. Suppose 0 = -q + 4*c + 35, -65 = -4*q - d*q + c. Solve -u + q = 4*u + m, 0 = -4*u - m + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*x + 184 = 156, 4*x + 23 = r. Which is the second biggest value? (a) 4 (b) -3 (c) 0.4 (d) -2\/9 (e) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.265 times -0.2?\nAnswer: -0.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.233517 to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 1110101100010100000100011?\nAnswer: 1110101100010100000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 0.3868?\nAnswer: 1.3868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 9. Suppose 2*v = -4*h - h - 17, 4*v + 4*h = -4. Suppose 6 = v*l - l. Let b(z) = 0*z + l + 0 + z. Give -9*b(x) - 2*t(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 81\/(-18) - (-3)\/2. Let p(z) = -68*z - 4. Let y be p(w). Let m = -5 - -30. What is the greatest common divisor of m and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9802361, 9802361, 9802359, 9802355, 9802349?\n\"Answer: -i**2 + 3*i + 9802359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048126013?\nAnswer: 11, 19, 5014957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*m + 106*m - 828*m = 2961 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 10. Let m be n\/15 + 36\/10. Suppose 5*a - 13 = 5*v - v, 2*a - m = 2*v. Solve -2*q + 4 = 2*g - 12, 4*q + v*g = 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -685\/4*k**4 + 0 + 25\/4*k**5 + 135\/2*k**3 + 0*k + 0*k**2.\nAnswer: 5*k**3*(k - 27)*(5*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.6 + -22.4. Let d = 20.13 - 20. Which is the second smallest value? (a) 5 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 12*k**2 + 7*k + 106. Determine w(-11).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*i - 49 = 3603 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**37*o*o\/(o**30*o)*o)\/((o**(-11)*o)\/(o*o**(5\/6)\/o)) assuming o is positive.\nAnswer: o**(119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2446 - (-48)\/8)*3\/12 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*f = -3*u - 5, -f - 1 = 0. Suppose y + 2*o - 16 = u, 3*y - o = -0*y + 27. Suppose -4*i + q = -0*q - 5, i + y = -2*q. Solve -3 = -3*r - i*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 15) in base 16?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + -9 - -15 - 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 4707264.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:04 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(152))\/sqrt(8) - sqrt(19)) + sqrt(19) + -2)**2.\nAnswer: -20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a**3 + a**2 - 1. Let i = -6 - -7. Let l be j(i). Determine q, given that -2*q**5 - 2*q - 2*q + 12*q**2 - 2*q**4 + 3*q**3 - l*q**2 + 3*q**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 92, 135, 176, 215?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*k + 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(-3\/13)\/(p**(-5\/2)*p\/(p\/(p**(-5\/2)*p))*p) assuming p is positive.\nAnswer: p**(40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 - -90. What is the closest to -18 in g, -4, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95575 and 7025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51708 < 51714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 14*p + 17 = 11*p, -2*p - 5 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 85a530?\nAnswer: 85a531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(8 - (-2 - -9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20)*4)\/(74\/(-1295)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943 divided by 15?\nAnswer: 1943\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 12:31 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -230, -616, -1252, -2138?\n\"Answer: -125*z**2 - 11*z - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/33 - (-9)\/(-66)*16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/2)\/((-4)\/8). Suppose -v + z*v = 0. Suppose v*l + l - 3 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1988569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*a - 1 - 86*a**2 + 85*a**2 - 3*a to the form b*a**2 + m*a + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163758 is divided by 1213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.173 times -0.06615?\nAnswer: 0.01144395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 630?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245) - sqrt(245)*-3) + sqrt(245) + sqrt(245))\/sqrt(7))\/(sqrt(80)*4) - (4 + 5 + sqrt(7) + sqrt(7) + sqrt(42)\/(-5*sqrt(6))).\nAnswer: -9 - 57*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 - -149. Let s(r) = 6*r + c*r - 5*r**2 - 18*r. Let t(n) = 5*n. Calculate t(s(z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*c - c - 7, 0 = -3*r + 3. Let q be -2 + c + -2 - -89. Suppose -5*m + q = -0*m. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 1244\/3 (c) -3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*l - 468168*i**3 - 65*i**2*l - 8*i**2 + 8*i*l - i - 2 wrt i.\nAnswer: 12*l - 2809008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssspsspppppsppppspss.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000489858 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, -2, -4, -5, 0.9 in ascending order.\nAnswer: -5, -4, -2, 0.9, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/212 and (-6 - (-283)\/44)*3.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3) + -1 + 3 + -1*sqrt(300) + 3.\nAnswer: -9*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1378 and 10?\nAnswer: 6890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*t + 15, 3*o = -2*o - 3*t + 13. Suppose u - 11 = -2*k + 14, 5*u + 15 = 4*k. What is the highest common divisor of k and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 476 and 32?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -63 and 0.106.\nAnswer: -62.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 4 - 0) + 0\/3. Suppose -3*z - 1 = f - 4, t*z + 2 = -2*f. Calculate the remainder when 66 is divided by 34*((-2)\/(-6) - f\/18).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*p + 11 = -2*p, -5*f - 2*p + 35 = 0. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 22 = -2*f - o, -2*f - 4*o = 38. Let m = 12 + f. Let w = -7 - m. Which is the closest to 0? (a) w (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2295689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**3 + 163*j**2 - 460895 + 460893 + 646*j**2 to the form f + h*j**3 + p*j**2 + d*j and give p.\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 = -28*f - 6*f - 245 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1219 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 != -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i - i - 3*i)*(0*i + 13 - 2*i + i) to w*i + k + z*i**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -2. Let d(v) be the third derivative of 1\/60*v**6 + 0 - 1\/12*v**4 + 1\/210*v**7 + 0*v**s + 0*v - v**2 - 1\/6*v**3. Factor d(n).\nAnswer: (n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 10*i + 20. What is r(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -845*n + 0 - n**2 + 842*n + 3 as u + m*n + t*n**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 72\/8 + (39636\/(-369))\/12. Which is the second biggest value? (a) n (b) -2 (c) 13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562 is divided by 200?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = -5*l - 0*d, -5*l - 3*d + 10 = 0. Let t be 1*(((-2)\/l)\/(-4))\/(-2). Let a = -379.9 + 380. What is the fourth biggest value in a, t, 1\/3, 2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072265 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/15231?\nAnswer: -2\/15231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 14*q**2 + 29*q - 58. Let y be s(12). Let v(x) be the first derivative of -3\/5*x**5 + x - 2*x**y + x**4 - 3 + 2\/3*x**3. Factor v(b).\nAnswer: -(b - 1)**2*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8 + 94*p**2 + 2*p**3 - 3*p**3 + 5*p - 97*p**2. Let a be w(-4). What is the third smallest value in 0.1, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -0.1, 4, 49?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 5:34 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a - 3 = -37*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 220323?\nAnswer: -220330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 374605 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {h: 7, l: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0 - 11\/6*b**3 - 14*b**2 - 1\/12*b**4 + 13*b. Let v be d(-5). Let q(y) = y**2 - 2*y + 2. Calculate q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.25 - 54.85. Let d = 3 - 4. Let b = 2 + d. Which is bigger: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(1\/40)*v)\/v*v)\/v)\/v*v*v*v*v)**(-42) assuming v is positive.\nAnswer: v**(-2541\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*l + 164*l - 63 - 433*l + 499 + 135*l.\nAnswer: -l + 436","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -7*n**5\/60 + n**4\/24 + n**2. Let h be z(1). Let w = -3 - h. Which is the second smallest value? (a) w (b) 1\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.95 + 0.05. Is v >= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4116000 rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 217*j**3 + j**2 - 43*j + 113. What is the hundreds digit of c(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**2 - 5\/3*q**3 + 1\/5*q**5 + 0*q + 5 + 1\/6*q**6 - 3\/4*q**4. Factor g(d).\nAnswer: d*(d - 2)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1053)*-1*2)**2 - (-2 + -1 + sqrt(1053) - 1*(sqrt(1053)*-1 + sqrt(1053)))) + 0 + -2.\nAnswer: -9*sqrt(13) + 67393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21473067*p**3 - 12*p**2 - p - 197921323 wrt p?\nAnswer: -128838402*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121*j*o**3 - 4083*j*o - 43696*o**3 + o wrt j.\nAnswer: -121*o**3 - 4083*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 6. Suppose 42 = -5*g + 12. Calculate v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqrrr. What is prob of sequence qrrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -43*g + 14. Let n be r(2). Let f = -176 + n. Let o = f + 449. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509 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 d(s) = -s. Let y(u) = 4*u - 1. Let c(k) = 5*d(k) + y(k). Let t(p) = -4*p - 4. Let h = 10 + -8. What is h*t(q) - 7*c(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10760243 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11604 is divided by 258.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/8163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (6 + -3 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520591, -520592, -520593, -520594?\nAnswer: -520595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -1. Let l = 1.7 + r. Let g = -147 - -148. Which is the nearest to g? (a) 3\/2 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 650 and 28600.\nAnswer: 28600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1328 or -23?\nAnswer: 1328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 + 1.6. Let z = s - 0.3. Let w = z + 2.1. Sort w, -3\/23, 5 in decreasing order.\nAnswer: 5, w, -3\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 - 7*t**3 - 4*t**3 + (0*t + t - 3*t)*(2*t**2 + 1 - 1) + (0 + 1 - 2)*(-t - t + 0*t)*(-4*t**2 - 16*t**2 + 2*t**2).\nAnswer: -53*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 + 6*w. Let q(u) = -11*u**2 - 13*u. Suppose 2*k = -2*k - 52. Let l(i) = k*h(i) - 6*q(i). Let c(r) = 1 + r - 1. Determine l(c(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*l - 14*l**2 - 153*l + 318*l - 26*l**2 wrt l.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(200) + 4 + 1 + sqrt(200).\nAnswer: 1 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1566972, -3133946, -4700924, -6267906?\nAnswer: -7834892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -110 and -51.96.\nAnswer: 5715.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 - -189. Let v be (-2197)\/(-6) - 5\/(-15). Let n = t - v. Calculate the common denominator of n and -27\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u - 2. Let z(x) = 0 - 130*x + 4 + 124*x. Let h(d) = 4*d - 3. Let j(o) = 4*h(o) + 3*z(o). What is k(j(f))?\nAnswer: 18*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 12*i**2 - 1\/20*i**5 + 0*i + 0*i**4 + 0*i**3 + 0. Factor l(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23273538 - y + 23273538.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.7 - -6. Let w = -6 + 8. What is the closest to -1 in -0.3, w, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74292 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 25248056?\nAnswer: 25248057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1664.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 3 - (-71 + 120 + -102)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9285*r + 5368. Is m(-29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 12*m = -15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3 + 1174783*d**2 - 2349585*d - 17621775 = 0. What is d?\nAnswer: -1174785, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 37 - 16. Suppose 2*q - r = 95. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2601, 2614, 2589, 2526?\n\"Answer: -19*m**2 + 70*m + 2550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(19) - sqrt(38)\/sqrt(50)) + (-3 + sqrt(1539))*-3.\nAnswer: -131*sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*b - 180 = 120*b. Suppose -4*m + 2904 = -b*w + 44*w, 4*m + 2*w = 2892. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -432*x**5\/5 - 2232*x**4\/5 + 17637*x**3\/5 - 6138*x**2 + 3420*x - 600 = 0?\nAnswer: -10, 5\/12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -3, -1, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-21))\/(1\/(-2)). Let d(w) = -w**3 + 41*w**2 + 46*w - 176. Let v be d(42). What is the second biggest value in v, a, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together -1.27 and 28.211.\nAnswer: 26.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4400804 (base 9) in base 5?\nAnswer: -1101100422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3812, 60 in ascending order.\nAnswer: 8, 60, 3812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, r: 3}. Give prob of picking 1 r and 2 d.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + 68 + 20*y**2 - 21*y**2 + 82.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/(-26180))\/((-92)\/46*1\/4).\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -50156026?\nAnswer: -50156026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 p when four letters picked without replacement from {m: 7, i: 1, s: 3, p: 6}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11) + 1 + sqrt(33)\/(sqrt(3)*-2) + 2 + 0 + 1*sqrt(11))**2.\nAnswer: -6*sqrt(11) + 115\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17971746?\nAnswer: 2, 3, 13, 113, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1600 and 0.05.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*2\/(-18) + (-353)\/9. Let r = n + 40. Let v be (-28)\/77*(-1)\/(-10). Is v at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -553255\/1118 - -6453\/13. Let o = u + -1\/43. Let f = 3 + -3. Which is the nearest to f? (a) 0 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5871 + 14328. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a - 33\/4*a**4 + 84 + 0*a**3 + 47\/2*a**2. Find the second derivative of f(k) wrt k.\nAnswer: -198*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 8662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**2\/2 - d + 153. Let w(k) = k**2 + 8*k + 7. What is -2*w(i) - 18*x(i)?\nAnswer: -2*i**2 + 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -3*z**4\/4 + 2*z**2 - 3*z - 1891. Suppose 16 = 9*y - 2. What is r(y)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n - 3 = 0. Let t = 3 + n. Suppose t = -3*s + 37 + 32. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 929.2 - 929. Put -1.3, 5, a, 0.03, 3 in descending order.\nAnswer: 5, 3, a, 0.03, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 790 - 105?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-171)\/(-38)*3\/7 and (1465\/(-15) - 3)*(-1)\/40?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 16*m - 42 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -25. Let q be (-2)\/((32\/h)\/4). Let f be 1\/((-7)\/(-2) + 1). Which is the third smallest value? (a) 5\/4 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x**2 - 110*x - 400. Give p(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5147 = y + 4*z, 3*y - y - 10310 = -4*z. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**3 - 648*l**2 - 4012*l - 3360 = 0.\nAnswer: -5, -1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6 - 7*x - 1 - 5. Let n(t) = -t - 1. Let j(b) = -5*n(b) + z(b). Let w(i) = -2*i + 6. Let v = 13 + -7. Calculate v*j(l) - 5*w(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617 = -28*d + 953 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 58. Solve 0 = 5*c, -b*c - 15 = 3*t - 4*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 1772 = -2136. Calculate the remainder when u is divided by -4*-2*(-10)\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2009 and 3143301?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nee when three letters picked without replacement from {e: 2, n: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/20 + g**4\/4 - g**3\/6 + g**2\/2 + 6*g. Is o(2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l - 3*l**2 + 4*l**2 - l - 2*l. Let d(c) = 131*c + 64. Let m be d(7). Let x(a) = -1965*a + 982*a + m*a. Determine x(y(o)).\nAnswer: -2*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82317070 and 181097554.\nAnswer: 905487770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*y**4\/3 + 451*y**3 + 407*y**2 - 5240*y\/3 - 1700 = 0. What is y?\nAnswer: -15\/8, -1, 2, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 13. Let v(t) = -t**3 + 6*t**2 - 5*t - 1. Let q be v(4). What are the prime factors of f(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n*p - 120*n + 436*p wrt n?\nAnswer: -5*p - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 74*k - 71*k + 7329 = 0, k = -4*w + 9772. What are the prime factors of w?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 2 - 1)*5. Let m = 87 + -12. Let x = -76 + m. Which is the third biggest value? (a) n (b) x (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 2 - 2)*(-5*n + 18*n**2 + 5*n)*(0 - 10 + 3) + 2*n**3 - 9*n**2 + 9*n**2 + 1 as v*n**3 + r*n**2 + q + g*n and give v.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -1 - (8 + -2) - (0 - -33)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30594 = 1317*s + 1493*s - 109274 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356009 + -889666420\/2499. What is the common denominator of n and -22\/1785?\nAnswer: 12495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 5*h - 25 = 5*a, h = a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 2*v + 55. Let h be f(0). Let c = -57 + h. What is the units digit of 38 - (-3 + 3)\/c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 209211583 and 9.\nAnswer: 1882904247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 11*t + 21 = 4*l, 4*l - 13 = -3*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 111*p - 118*p + 10 - 52. Let o be n(-6). Solve 5*t - 33 = 2*l, -2*l + 4*t - 2*t - 18 = o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120202122 (base 3) to base 8\nAnswer: -26344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6210*h**2 - 7*h + 20. Is n(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/3 - 85*d**2\/3 + 732*d - 5460 = 0. Calculate d.\nAnswer: 13, 30, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - 1. Let k be 2 + (-76)\/(-28) + -6 + 1. Which is the second biggest value? (a) z (b) k (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((((-40)\/5)\/8)\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -690 and 13895.\nAnswer: -9587550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 2*b**2 - 11 - 3*b + 7 = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5929 and 2904.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50258 (base 9) in base 6?\nAnswer: 412512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 1:37 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 0*s - 2 - 4*s - 4*s. Is p(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546268289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*t - 1027 = -2*i, -5*i + 1760 = 3*t. Let j = i + 913. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/16282 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-885 - -4)) + (0 - 0). Let d = c - 8791\/10. What is the common denominator of -111\/14 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30930186*a**2 - 8*a - 1971909.\nAnswer: -61860372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 14. Let k be -1*(209\/55)\/((-1)\/(-5)). Let v be t(k). Suppose 0 = -4*i - v*s + 539, 0 = 5*i - i + 4*s - 540. Is 34 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4*n + 139259*h**3*n + 24704*h**2*n - 4*h + n wrt h?\nAnswer: 24*h*n + 835554*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w - 33*w = 6. Let x = 2 - -2. Suppose -x = -g - w. Solve 3*i + 4 = -j, -j - 6 = -g*j + 2*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 + 6991*g\/2 + 48874081\/4.\nAnswer: (g + 6991)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*k*o**5 + k*o**2 + 136*k*o + 3*k - 67*o**5 + o wrt o.\nAnswer: -200*k*o**3 + 2*k - 1340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 102*g**2 + 532*g - 444. What is o(-107)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/164 and 51\/1090.\nAnswer: 89380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -44. Suppose -5*a = r - 35 + 2, 29 = o*a - 4*r. Suppose -202 = -a*m - 55. Solve 4*q = -l + m, 0*q + 45 = 5*l + 5*q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -206*z**2 + 5525*z. Let a(r) = 13*r**2. Give l(a(g)).\nAnswer: -34814*g**4 + 71825*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, o: 2, q: 10}. What is prob of sequence oqqq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 2*z**4 + 4*z**3)*(1 - 1 - 2*z) - z + 3*z + z**5 - z.\nAnswer: -3*z**5 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 842 and 54?\nAnswer: 45468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z**4 + 29\/20*z**5 + 2*z**2 - 1\/105*z**7 + 0 + 0*z**3 + 29*z - 9\/20*z**6. What is the third derivative of v(s) wrt s?\nAnswer: -48*s - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 8 - 22)*(i**2 - 4*i**2 - 13*i**2) in the form u*i + x*i**2 + b and give x.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 107\nAnswer: 9\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, -110, -237, -404, -605, -834?\n\"Answer: b**3 - 29*b**2 - b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 15 = -9. Is r at least as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 12*i = -14*i. Let p = 59 + -56. Solve i*b = b + p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 4)*(-8)\/(-1636)*-1. Let i(w) = w**2 - 10. Let c be i(-3). Are s and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -27845.266.\nAnswer: -27845.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53287 divided by 127.\nAnswer: 53287\/127","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Product of 543313 and 4.\nAnswer: 2173252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epeepe. What is prob of sequence ee?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -7 + 15 + -30 + 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/6 + 1)*3. Let v = 11 - d. Let z be 4\/(-3) + v\/6. Which is the nearest to z? (a) 3 (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/4 - 5*u**3\/3 + 9*u**2\/2 + 9*u - 12. What is b(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218.1 - 215.1. What is the third smallest value in -0.1, -34, -4, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Let j be -5 + 0\/(-3) - (1 + -2). Sort d, 3, j in decreasing order.\nAnswer: d, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155601 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25\/21 - -13\/7. Which is the second biggest value? (a) o (b) 15\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*k + 195, -a + 2*a - 430 = -5*k. Suppose 0 = -5*g + 50 + k. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/(-21)*(-78)\/8. Let b = 37 - f. What is the greatest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11263*t**2 + 2*t + 8855*t**2 + 0*t - 2*t.\nAnswer: -2408*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -2.136?\nAnswer: 1.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 10*l - 4. Give w(-8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -502c38 (base 13) to base 10.\nAnswer: -1862934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 11:09 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 18*o**2 + 19*o + 2. Let r be z(-19). Suppose -r*l - 3*l + 100 = 0. What is the smallest common multiple of 10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -5 - (-41 + 2). Suppose 6*q - t = -22. Let i(x) = 3*x**3 - 2*x**2 - 2. Let a(k) = -7*k**3 + 5*k**2 + 5. Calculate q*a(v) + 5*i(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 11 - 87*n + 2*n**2 + 14 - 2*n**2.\nAnswer: 2*n**2 - 87*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2120 and 119\/1440.\nAnswer: 76320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 4, l: 1, o: 3, r: 1, j: 2}. Give prob of picking 1 z, 1 l, and 1 j.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -30585*n**5 + 948065*n**4 + 11777395*n**3 + 31376575*n**2 + 71750*n = 0. What is n?\nAnswer: -5, -14\/6117, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42467526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h + y = 277, 4*h = -y + 557. Let g = h + -557\/4. What is the smallest value in -0.1, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h - 13. Let i be s(-13). Let n be i\/476*(-162)\/(-45). Let j = -11\/35 + n. Which is the closest to 1\/3? (a) j (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 2*m + 2. Let f = 201 - 168. Suppose 11*n = 22*n + f. Determine b(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 80 = -2*j, -3*m + j = -34 - 36. Solve 10 = 8*p - m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321991.6328 rounded to the nearest 100?\nAnswer: -322000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 equal to 341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/4 + (-3)\/2. Sort 0.2, 2, -0.4, a.\nAnswer: a, -0.4, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 + 0*x**3 - 2*x**3)*(3 - 9 + 10)*(2 + 2 - 3).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 51*s + 9. What is the units digit of c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 - 1.2. Put 3, -0.01, -0.3, q in descending order.\nAnswer: 3, -0.01, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6394195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((16\/(-24))\/(-1))\/(-2)*-3207?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (7 + -4 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1, -1\/4, -2.16, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*k + 9 = 2*x, k = -4*x + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, 20, 6\/11, 8 in ascending order.\nAnswer: 0.1, 6\/11, 5, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -156 - (-207 + (-69 - -72))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 - b**4 + 4*b**3)*(-59*b - 175*b - 43*b).\nAnswer: 277*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60493144 to the nearest integer?\nAnswer: 7778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 269*t**3 - 11*t**2 - 11. Let o(h) = 90*h**3 - 4*h**2 - 4. Suppose -2*l - 14 = 115*c - 111*c, -3*l = 2*c + 5. Calculate c*r(w) + 11*o(w).\nAnswer: -86*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.23, 1\/8, -2\/19, -1\/3, -236, 0.3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -422*q**5 - 682*q**5 + 1392*q**5 - q**2 + q**2 + q**5 + (-2*q - 3*q + 7*q)*(-2*q**4 + 2 - 2).\nAnswer: 285*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328098833 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -21*y**2 + 2*y - 5. Let b be f(7). Round b to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (6\/8 + (-44)\/16). Solve 0 = -7*q + g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2449 + 2452 = 0, 2*q + 2 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8241870?\nAnswer: 2, 3, 5, 7, 13, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*o = 0, -42*y = -47*y - 4*o + 84. Let c(a) be the first derivative of 0*a**2 + 1\/2*a**4 - 4\/3*a**3 + y + 0*a. Factor c(t).\nAnswer: 2*t**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -162, 1\/329241, -1, 2?\nAnswer: 1\/329241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64782916 divided by 4?\nAnswer: -16195729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 2:52 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -3*x. Suppose 9*o = x*o. Suppose o*u = -3*n - 5*u + 2, -22 = -3*n + 5*u. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 47 = -99 + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0204 to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let h = -6 - d. What is the biggest value in h, 0, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 149. Let u(k) = -2*k + 299. Determine -2*u(h) - 5*x(h).\nAnswer: -h + 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(104)*3 + (sqrt(104) - (1*sqrt(104)*-3 + sqrt(104))) + sqrt(104))\/(3*(sqrt(72) + sqrt(72)*1*4 + sqrt(72))).\nAnswer: 19*sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-41)\/14 + 657\/(-9198). Put -1\/2, 0.24, j, 0.3, -5 in ascending order.\nAnswer: -5, j, -1\/2, 0.24, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) -1978 (c) -2\/113 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(150)*2)\/(sqrt(2) + sqrt(32)*-3) + (sqrt(675)*2)**2*2).\nAnswer: -27000 + 50*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1803222 + -1108622. Round q to the nearest ten thousand.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -74. Suppose u*h - 5*h + 5*g = -748, -2*g = -5*h + 1891. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 - 14*t - 16. Let m be v(-5). Suppose -3*x = -4*w + m, 2*x - 163 + 167 = 4*w. Factor 0*n - 3\/2*n**3 + 3*n**2 + x - 3\/2*n**4.\nAnswer: -3*n**2*(n - 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/5 - 46*u**3\/5 + 274*u**2\/5 - 146*u\/5 - 468\/5 = 0?\nAnswer: -1, 2, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-1*sqrt(300)*4 + sqrt(300) + -1)*-4 - ((-3 + sqrt(300))*-1 + (-2*sqrt(300) + 1 + sqrt(300) - sqrt(300)))))**2.\nAnswer: 600*sqrt(3) + 67504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72271021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (6 - (-12 + 37)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 423, 414, 403, 390, 375, 358?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 3 + 3)*(-4*y + 0*y + 2*y) + 3*y - 4 + 4)*(-13*y - 18 + 18) to the form p + l*y**2 + k*y and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6662021 is divided by 1762?\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -16)*6\/63?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrjdzrzrzzzhzrjx. What is prob of picking 2 z?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, w: 5, l: 1}. Give prob of picking 2 z and 1 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -104*f**2 - 90*f + 6. Let b(l) = -104*l**2 - 108*l + 5. Determine 5*b(m) - 6*h(m).\nAnswer: 104*m**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 64825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632.216 rounded to the nearest 10?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6 + (-15)\/(-10).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -33*b + 0*b**2 + 0 - 1\/3*b**3. Let s(z) = -13*z**2 + 1. What is s(c(a))?\nAnswer: -52*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1154 - -4335?\nAnswer: 5533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 4. Suppose -23*u = 32 + 14. Let j be 5 + c - (-5 - u). Solve 3*l - 37 + 16 = -3*s, -3*l + 5*s + j = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 plus 0.6051?\nAnswer: -74.3949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00039760732 to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187343 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k**3 + 116 - 116)*(-999 + 518 + 4*k**2 - k + 501).\nAnswer: 44*k**5 - 11*k**4 + 220*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141.6 + -144.6. Sort 3, -0.1, 4, o in descending order.\nAnswer: 4, 3, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -50*i**3 + 2*i**2 - 1. Calculate k(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.74125 decades to years.\nAnswer: 377.4125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -256*u + 28851. Calculate m(113).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30, 38, 46, 54?\n\"Answer: 8*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9 - 19 - 14 + 43. Let w(k) = k + 2. Suppose -2*d = 3*t + 1, -d - 5*t - 8 = -4*d. Let j be ((-2)\/(-2))\/d + -2. What is j*w(x) + 2*z(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h + 17 = 3*g, 5*g - 2*h - 7 = 0. Let u = 9 - g. Let k(w) = w**2 - 8*w + 6. Calculate k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(24\/(-9)) + (-12)\/(-2). Solve 0 = j*a + 3*i, -a + 2 = -0*i + 3*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33005 is divided by 161?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - 3) - ((-6 - 9) + 35)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z - 31. Determine k(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 1, x: 1, r: 1, h: 2, k: 2}. What is prob of sequence kxr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1042061942438 and -122.\nAnswer: 1042061942316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uii when three letters picked without replacement from {i: 4, u: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4972*f - 5. Let y(u) = -14923*u - 17. Calculate -7*j(b) + 2*y(b).\nAnswer: 4958*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*y + 1015 - 1665 + 878 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from ommmcmeg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + ((4 + sqrt(1539)*-3)*6)**2)*5.\nAnswer: -38880*sqrt(19) + 2496080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2 + 18*m**2 - 3 to the form x*m**2 + u*m + f and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 48*j**2 + 10836*j - 32832.\nAnswer: -4*(j - 57)*(j - 3)*(j + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2205 divided by -49.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/43)*y*y**(-2))\/((y*y**(-7))\/y*y\/(y\/y**(-1\/3))))**(-5\/7))**(-42) assuming y is positive.\nAnswer: y**(9520\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 9*h + 5. Let y(l) = 2*l**2 - 5*l - 3. Let o be y(4). Let w be 3*1\/(o\/(-6)). Let z(d) = -d**2 - 4*d - 2. Give w*j(f) - 5*z(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(1 + 0 + 0)*(-36*u + 10*u - 4*u).\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 5*z**2 - 5*z + 4. Let f be b(2). Suppose -f*t - 2804 = -680. Let g = 797 - t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3098 = 12*k - 2614. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 596 - -0.0577\nAnswer: 596.0577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -210\/1987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -597 + 545 + (0 - (-112)\/(-18) - (-16)\/72).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t + 19*t - 487. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 46 + 43 = -3*c, 3*c - 5 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*2*(-4 - -3). Suppose 0 = -f*n + 7*n - 15. Solve -n*x = m - 8, 3*x - 5*m = 16 + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 8}. What is prob of picking 2 g?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 510, 503, 496, 489?\n\"Answer: -7*j + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39865203583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/10*-5 - 21681\/(-6).\nAnswer: 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/14*4\/(-6). Let f = 19 - 19.42. Let d = -0.02 - f. What is the closest to -1\/4 in d, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23219666 and 5141.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 21*z**2 - 39*z + 23. What is d(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**6)\/p)\/(p\/(p**(-4)\/p)*p))\/((p*p**(1\/2))\/(p*p\/(p**3*p))) assuming p is positive.\nAnswer: p**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 14*o - 98 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 0.38. Let h = -1.748 - -6.988. Let i = 6.54 - h. What is the second smallest value in k, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 14 = -4*j, -2*j = 2*b - 0*j - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151\/658801 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 581821.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 = -4. Let l = -6.7 - -6.9. Which is the biggest value? (a) -0.8 (b) l (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/45*10\/(-6). Let z = 28\/12937 - -2205647\/3040195. Let k = -6\/47 + z. Which is the smallest value? (a) y (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-3 + 3 + 1)*(1 - 2 + 2)*(5*f - 3*f - 3*f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20202 (base 3) to base 10.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 7*a**2 + 7*a - 5. Suppose 6 = 21*t - 20*t. Calculate i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3024)*-3)\/((sqrt(36)\/(sqrt(2)*3) + sqrt(18))\/sqrt(6)).\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000067353 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 - -4.9. Let h = c - -1.4. Let b = h + -0.4. What is the second biggest value in -4, b, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 5*n**2 - 3*n. Suppose -4*k + 0 = 4*d - 116, 0 = 5*d + 3*k - 155. Suppose 2*q = x - 15, -2*x = -3*q - d + 9. Calculate r(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.0142 millimeters in meters?\nAnswer: 0.0940142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*6 + (-5 + sqrt(4)\/sqrt(2) - sqrt(2)).\nAnswer: -5 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 4641025*k + 4641025*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*c**3 - 2*c**3 + 31*c**3 + (c**2 - c**2 + 2*c**2)*(2*c + 6 - 6) + 0*c**3 + 0*c**3 + 2*c**3 in the form t*c**3 + l*c + x*c**2 + d and give t.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -388993 or -388555?\nAnswer: -388993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -763*u - 27157. Give w(-35).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 641850493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 124649038 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1465349209 + -1\nAnswer: 1465349208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 3, n: 3, j: 4}. What is prob of picking 1 j and 3 n?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x + 57*x - 60 = 0. Solve -23*p - x = -19*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 - q + 10. Suppose 31*w + 107 + 110 = 0. Let o(d) = 2*d**2 + d - 7. Calculate w*o(y) - 5*n(y).\nAnswer: y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 17 = -f, -5*k = 2*f - 8*k + 9. Let n(o) = 133*o**2 + 9*o - 36. What is the units digit of n(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-1)))\/o)**(1\/8) assuming o is positive.\nAnswer: o**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50646.8 + 50635.800074. Let i = t - -11. Round i to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202109176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n = -249. Let m = n - -122. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 24*w + 0 + 217\/12*w**4 - 1\/2*w**2 + 0*w**3. Does 27 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*b + 304, -5*b - 67 = -4*b + y. Let f = -16 - b. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) 36 (b) 2 (c) -4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 - n - 5. Let o(v) = 11*v**2 - 3*v - 14. What is 6*o(p) - 17*r(p)?\nAnswer: -2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -52, -4, 1558, 4, 2 in decreasing order.\nAnswer: 1558, 4, 2, -3, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -1\/6*h**4 - 3*h**2 - 1\/6*h**3 + 0 + 0*h - 1\/60*h**5. Let o = -46 + 43. What is i(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4 = 7*t. Let h be 30\/21 + -2 - (-192)\/189. What is the third biggest value in -0.8, t, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105851*b = -105710*b + 4089 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 623 and 16024539?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4 + 35612*c**3 - 603928*c**2 - 2843184*c - 2985696 = 0. What is c?\nAnswer: -2, 21, 8886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k - 40 + 40)*(-4*k**3 + 5*k**3 + k**3).\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9013, 9017, 9021, 9025?\n\"Answer: 4*b + 9009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/8 - d**2. Let z(y) = -6 + 4 + 2 - 25*y**2 + 30*y**2. Determine z(q(l)).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*z**2 - 123*z**2 - 10 + 251*z**2 + 10.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 - (-2 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -70436797.\nAnswer: -70436797.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 327, 318, 309?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (-41 + 9 - -63)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 8*r**2 + 4*r - 10. Let c be a(7). Let s be ((-1)\/4)\/(c\/(-8)). Which is bigger: s or -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.6 times 1?\nAnswer: 116.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.95123498 - 0.27\nAnswer: -2.22123498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35514 + -24411. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 54 = -5*g, -3*a - 2*g - 161 - 1 = 0. Which is bigger: -52 or a?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*c, k = 94*c - 95*c - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 12. Sort 4, 3, w.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 17\/410 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2530 and 330?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*m**3 + 4*m + m**2 - 5*m + m to the form o*m**3 + j*m**2 + x + s*m and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35530938502 - -4.\nAnswer: 35530938506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -5*v + 5*l, -v = 3*l + 64 - 73. Which is the nearest to -2\/5? (a) v (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/28 and -53\/7189540?\nAnswer: 50326780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-6 - -4))\/(-1). Let l = 3.8 + -0.8. Let q = 3.2 - l. Sort -0.5, q, x in descending order.\nAnswer: q, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*r = -38, r = -0*r - 4. Suppose 6*x - 5*x = 5*o - 5, 0 = -o + 5*x - u. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85328, -170640, -255946, -341246, -426540, -511828, -597110?\nAnswer: -682386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175) + (-1 + sqrt(175))**2 + -3)) + (1*(sqrt(847) + 0))**2 - (sqrt(672)\/(sqrt(72)\/sqrt(6)))\/(-2*sqrt(288) + sqrt(8)).\nAnswer: 111*sqrt(7)\/11 + 674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 l, and 1 b when four letters picked without replacement from {l: 5, w: 3, b: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (4 + 35\/(-15))*3. Let q(i) = 3*i**2 - 24. Let f be q(4). Put r, -4, f in descending order.\nAnswer: f, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-50)*69950\/18187.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-94)\/(-14) - 2\/(-7). Let z(h) = h**2 - 8*h + 8. Let t be z(c). Let g = t + 9. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.55 in 0.04, 5\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 1363.\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3586259 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 2:30 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5072 = -4*h + 2*f - f, h - 4*f - 1253 = 0. What are the prime factors of h?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2052))\/sqrt(3).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3411*a**3*g*x - 1297*a**3*g - a**2*g*x + 2*a**2*g + 31*a**2*x + 12*a*g*x - 3*a*x wrt a?\nAnswer: -20466*g*x - 7782*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**3 - 8*n**2 - 4*n - 6. Let w(h) = -3*h**3 - 5 - 2*h + 4*h - 7*h**2 - 6*h. Let m(u) = -5*b(u) + 6*w(u). Factor m(t).\nAnswer: 2*t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a8c + b1?\nAnswer: 4b3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (9 + 0 - (-19 - -18 - -25))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/10)\/(10\/450). Suppose 2 - u = -2*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 61 - 95 - 11*g**2 + 44*g + 23.\nAnswer: -11*g**2 + 44*g + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**3 - 366*p**2 + 494 with respect to p.\nAnswer: 6*p**2 - 732*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + (-14 - (-11 - 17))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3530674 is divided by 1194.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575974 is divided by 885?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let r(f) = -f**2 - 2*f - 1. Let a(z) = -z**2 - 2*z - 1. Let d(i) = 5*a(i) - 6*r(i). Calculate -d(b) + 3*j(b).\nAnswer: -b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*y + 13, 0*y + 3*x - 10 = y. Let u be -2 + (2 - 4)\/y. Solve 6 + 2 = -4*w - 4*j, u = 3*w - 5*j - 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 545 + -5?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(-12)\/(-40)*2. Let m be h\/((-2)\/1) + 4. Let p be m + (4 + -24)*-1. Solve 1 = -4*b + p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 6*q - 6. Let j be k(3). Let h be (j\/12)\/((-3)\/(-9)). What is the second biggest value in 3\/7, -0.2, h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/sqrt(4))\/sqrt(8) + 4 - (sqrt(200)\/sqrt(10) + 0)**2)*5.\nAnswer: -80 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030819 rounded to seven dps?\nAnswer: 0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 34 = 2*s, -3 = -4*s - 11. Suppose 4*q - v = q. Let l = -8 + 4. What is the second smallest value in l, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000556492 rounded to six dps?\nAnswer: -0.000556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (8 - 7) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20942 and 4.\nAnswer: 41884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -23.5936, -3?\nAnswer: -23.5936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 109328 (b) -0.3 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/117 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 770373954 divided by 2?\nAnswer: 385186977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -1 + -19 - -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.03 + 2.6.\nAnswer: -8.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -437.1?\nAnswer: -7867.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = 16 - 16. Solve p*c + 33 = 11*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/1733 - 189257\/124776. Find the common denominator of -9\/32 and k.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1 + 0*v**3 - 2*v**2 + 4*v**2 - v**3. Let k be s(1). Suppose k = -2*h - 2*h + 3280000. Round h to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36675427?\nAnswer: 107, 342761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/3 <= 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2916522 divided by 6\nAnswer: 486087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rajrqaqqqsjjqkqjrrrq. What is prob of sequence saq?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j + 2*h = -10, 9 = j + 3*h. Let c = 7 + j. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i. Let x(v) = -32*v + 5. Let a(c) = -36*c + 6. Let t(w) = 5*a(w) - 6*x(w). Determine h(t(n)).\nAnswer: -48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -376011 + -1071?\nAnswer: -377102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10462788283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -471\/3344 - 3\/176. Let z be (-6)\/(-2) - 8\/(-4). Suppose 7*k - 2*k = z. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.899325 kilograms?\nAnswer: 5899325000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30728918 by 86.\nAnswer: 357313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104690790 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109081560000 = 2059*y - 2201*y. What is y rounded to the nearest one million?\nAnswer: -768000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:04 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030355 (base 7) in base 3?\nAnswer: -110022220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 8*x + 9*x - 9, j = 4*x - 21 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/199143 and -107\/88508.\nAnswer: 796572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 2\/17 (b) 18 (c) 1\/41 (d) 4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 723.82 + -738. Let q = s - -14. Let c = q + 0.1800028. Round c to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5\/4 - 9*z**4\/2 - 15*z**3 + 50*z**2 = 0.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9*c**2 + 1114\/9*c - 1120\/3 = 0. Calculate c.\nAnswer: -560, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 2, p: 4, o: 2}. What is prob of picking 1 o, 1 c, and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(7) + sqrt(7)*1)*1)\/((sqrt(32)\/(sqrt(24)\/sqrt(3)) + sqrt(4))*-2))**2.\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395433?\nAnswer: 3, 53, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b = 49*b - 3. Let v(p) = 2*p**2 + 3*p. Let i(m) = -10*m**2 - 16*m. Calculate b*i(g) - 16*v(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145115 and 5630462?\nAnswer: 28152310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:20 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-9)\/6 + 0). Let d be (-1)\/6 + (-2)\/(-12). Let v be -3 - d\/r - -5. Solve 0 = -v*a + 4*w + 10, -1 - 16 = 3*a + 2*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 1 + 0*y**2 + 0*y - 2\/3*y**3. Let c(k) be the first derivative of -7*k**3\/3 + 2. Calculate d(c(x)).\nAnswer: -98*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/3)\/g**(1\/6)*(g*g**(-2\/7)\/g)**(-7\/4) assuming g is positive.\nAnswer: g**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.55619 millennia in centuries?\nAnswer: 395.5619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7275\/30)\/97*(2\/(-10))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3534126 - 1178042 - 1178040 + 112*z - 1178042.\nAnswer: 112*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**2. Let a(j) = -j**2 + j + 1. Let b(q) = -4*q**2 + 6*q + 6. Let m(i) = 6*a(i) - b(i). Calculate m(p(g)).\nAnswer: -162*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162 is divided by 89 - (980\/(-161) - (-6)\/69)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 107616\/18172 + 120\/(-28)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 89*d - 16856. What is the highest common divisor of d and 1677?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from pyjlypjjjkjjjkjppjjp?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Let r be (-8)\/((-64)\/36 + 2). Let q = x - r. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 4*a**2 - 14*a**2 + 8*a**2 + 3*a**2 to h*a + s + l*a**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 22. Solve z = -d*i + 6, 0 = -0*i - 4*i + z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -16*a**4 + 8*a**3 - 6*a**2 - 14. Let p(c) = c**4 + 1. Let f(j) = -2*i(j) - 28*p(j). Factor f(g).\nAnswer: 4*g**2*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 4*p - 1. Let g be k(3). Let w = g - 15. Suppose w*c + 168 = 12*c. What is the lowest common multiple of 6 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-10))\/((z**(-2)*z)\/z))**(2\/121)\/(z**2*z**(-2))**(-12\/5) assuming z is positive.\nAnswer: z**(-14\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + eea6e8?\nAnswer: eea6d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-4)*v)\/v*v*v)**12\/(v\/(v\/(v**2\/v)))**(5\/3) assuming v is positive.\nAnswer: v**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.797279 rounded to the nearest integer?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 353827825 to the nearest integer?\nAnswer: 18810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4.7. Let j = 1842.6 - 1842. Which is the third biggest value? (a) 4 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 - 216. Solve u*t - 4 = c, -5*t - c + 12 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151666051 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 - 18) + -1811*1. Let j = -1072 - c. What are the prime factors of j?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 8*p**2 + 4. Suppose -32*v + 562 = 82. Suppose 0 = v*w + 72 + 48. Give o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 16*d**2 + 47*d + 599. Let r be b(-14). Let j be (-6)\/4*(-256)\/6. Let a = r + j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + d = -d + 1, -4*d + 5 = -5*z. What is the units digit of 4 + (z - 2) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - ((8 - -18) + -81)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25601, 51033, 76345, 101531, 126585?\n\"Answer: -f**3 - 54*f**2 + 25601*f + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 19 + 35 = 0. Let q be (12\/(-5))\/(3\/(-45)). Calculate the greatest common divisor of q and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -8. Suppose t*b - 24 = -0*b. What is the tens digit of (b\/4)\/((-6)\/(-208))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/33893937 and 58\/11781.\nAnswer: 33893937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -147 - 28?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**2 + x - 629. Suppose 0 = -3*o - 2*y + 5*y - 3, 4*o + 3*y = 17. Give j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 3:14 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 949 = -109. Let t = 1901 - j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 9*c + 3. Let l = -7550 + 7542. What is x(l)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 91*q - 427464 = 0. List the prime factors of q.\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9911\/10 - -998. Suppose 3*y + 15 = -9. Calculate the common denominator of (2 - y) + (-4)\/(-6) and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7732*f - 16850. Give h(-2).\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 345 - 404. Which is smaller: 1\/6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012*d + 2862*d + 14426 = 138376 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 197*p + 6 - 6 + 375*p to the form m + u*p and give u.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214 and 321?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 920 and 140852.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -4. Let t(a) be the third derivative of -a**5\/60 - 5*a**4\/24 + a**3\/3 + 49*a**2. Determine t(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906842271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 64928676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 254399.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*a - 1 = 1, -3*i + 3*a = -6. What is the units digit of i*3*(1 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4665)\/(-25) + 4\/10. Do 1 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -195754, -194880, -194006, -193132, -192258, -191384?\n\"Answer: 874*u - 196628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 257 + 56346?\nAnswer: 56614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 4, e: 8, b: 6, v: 1}. What is prob of picking 1 f, 1 v, and 1 b?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 4:29 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*l = -15, 4*h - 3 = -4*l + 33. Solve h*q - 5 = 4*q + 5*g, -3*g = -3*q - 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**2 + 4. Let z(y) be the first derivative of y**2 - 1. What is z(f(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + sqrt(64)*1*-4 - 6*1*sqrt(64))\/(6*-3*sqrt(10)\/sqrt(5)) + -1)**2.\nAnswer: -4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1447 - 656. Suppose 4 = d - 1. Find the second derivative of -y - 4*u - 10*u**d + 791 wrt u.\nAnswer: -200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80897932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14881000 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -33 - (14 - (31 - 9))) + -35\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 6:42 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25641651413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/(-28) + -8 + (24\/(-42) - (-136)\/(-56)).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 0*m - 51 = 0. Put m, 4, -56, 5 in decreasing order.\nAnswer: 5, 4, m, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*p + 1, 4*y = 3*p - 7 + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76e5 - -32?\nAnswer: -76b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 11. Let k = t + 10. Let s(w) = -4*w**3 + 5*w**2 + 7. Let f(g) = -2*g**3 + 2*g**2 + 3. Let d(x) = k*f(x) + 2*s(x). Differentiate d(o) wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8\/(j**(-3)*j))**(-19)\/((j*j\/(j\/j**(-2)))**43)**(-2\/173) assuming j is positive.\nAnswer: j**(-32956\/173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*k = 12, -3*g - 3*k = -g - 9. Suppose -5*o + 0*o + 10 = g. What is the second derivative of -4*m**2 - o + 33*m - 39*m + 2 wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265909 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*j - 1022 = 0, -50*l = -47*l + 5*j + 752. Let n = -265 - l. Suppose 0 = 3*f - 7*b + 2*b, -3*f - b = 0. Put -3, 4, n, f in decreasing order.\nAnswer: 4, f, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t = -21*t - 6*t - 3712. Solve 123*r = 94*r - t for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65940 and 7584.\nAnswer: 41674080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/14 and (90\/(-11))\/(-1)*5\/20?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 690489*k**6 - 710*k**2 - 346*k + 2?\nAnswer: 82858680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 288900461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 + 0*x**3 + 0*x**3 + (1 + 0 + 0 + (4 - 3 + 0)*(0 + 2 + 0) + 0 - 2 + 1 - 2 + 1 - 1 + 1 + 0 + 1)*(11*x**3 - 6*x**3 + 9*x**3).\nAnswer: 23*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 + (-5 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18886.4067 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - ((-4)\/(-4) - -15))\/1. Let t = a + 24. What is the second derivative of -24*r + 12*r**5 + 4*r**t - r**5 wrt r?\nAnswer: 300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**2 + 118*a - 2075. Calculate h(15).\nAnswer: -2555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 2*w + 1. Let x be q(2). Let k be (8\/40)\/(x\/5). Suppose 3*u - 4*u = -4*h - 1, 3*u = 3. Do k and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/12 + x**3 - x**2\/2 + x. Let u = 1398 + -1410. What are the prime factors of w(u)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25 - -0.25. Let m = -0.1 + -0.4. Let h be ((-2)\/(-36))\/(1\/8). Which is the third biggest value? (a) m (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2432 + -2427. Let q(j) be the second derivative of j**3\/6 + j. Let y(g) = -3*g**2 - 32*g - 24. Let h(d) = s*q(d) + y(d). Factor h(o).\nAnswer: -3*(o + 1)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d + 15. Let z be (d\/(-4) - -1)\/(-1). Let t be 50\/84 - (-2)\/(-4). Sort z, 4, t in increasing order.\nAnswer: z, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l*n*t + 5474*l*n + 10*l*t - 6*l - 2*n*t - 7*t + 1 wrt n.\nAnswer: 2*l*t + 5474*l - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/45 and 51\/196540.\nAnswer: 1768860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 16\/11*d**2 + 2\/11*d**5 - 12\/11 - 12\/11*d**3 + 10\/11*d - 4\/11*d**4 = 0. What is d?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/4)\/(10 - (-9)\/(540\/(-582)))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okokookkcdbbboobuo. What is prob of picking 1 u and 1 b?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37.000065 - -37. What is l rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imihiyvih. Give prob of sequence hiv.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977380 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -227, -336, -443?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2 - (-4 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 475 - (3 + -6) - 3. Let k = 477 - i. What is the closest to k in 0, -1\/7, -1\/4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = 52 - 116. What are the prime factors of 262*((-20)\/a + 9)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 432 + -377. Suppose -22 + f = b. What is the highest common factor of 957 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 7*w**2 - 5*w - 1. Let y be d(6). Let u = y + -53. Calculate the greatest common divisor of u and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, 4, 1, -67980, 5 in decreasing order.\nAnswer: 15, 5, 4, 1, -5, -67980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/14 - 2\/7. Suppose -4*a = -18 - 2. Suppose -5*j + 18*y - 15*y - 9 = 0, 0 = -2*j - y + 3. Sort j, v, a in descending order.\nAnswer: a, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 317, 2254, 7343, 17108, 33073?\n\"Answer: 254*u**3 + 52*u**2 + 3*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4776*d - 442926 = -11487*d for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lklllkk. What is prob of picking 1 l and 1 k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 0*b + 114 - 111)*(-90*b + 7 - 7 + 0*b - 2*b + b + (4 - 3 + 1)*(-2*b + 3*b + b)).\nAnswer: 348*b**2 - 261*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 299654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -48 + 15 + -37.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hzhhhhhzhhhh?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/5)*(v*v*v**(-3)\/v)\/v*(v\/v**1)**(-1\/26) assuming v is positive.\nAnswer: v**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 25*n**2\/6 - n.\nAnswer: -n*(n - 6)*(4*n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 3:42 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.63759 weeks in hours?\nAnswer: 12035.11512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151544 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + 9 - (-15)\/3. Suppose 0 = -4*f - k + 12, -l*k = -3*k. Solve -7 = 5*v + f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 500021885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 790445 and 1639?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40183208 and 2093.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 408672411 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-36)*-16*(-12)\/(-52). Which is the closest to -0.1? (a) -0.4 (b) f (c) -2 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - -0.66\nAnswer: 24.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 899872?\nAnswer: 58491680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d. Let z(g) = -11*g. Let r(p) = -7*s(p) + 2*z(p). Let j(n) = -2*n + 2. Let f = 3 + -2. Determine f*j(h) - 3*r(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304001 (base 5) to base 12.\nAnswer: 5870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) -3 (c) 10 (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -5, 0.5, 0.05?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**8\/3360 + p**4\/12 - 2*p**2. Let j(w) be the second derivative of s(w). Determine b so that j(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1564 + -20330\/13. Let q be (-39)\/(-33) - (0 - -1). What is the third biggest value in 4, 14, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6899 + 6899.829. Which is the second biggest value? (a) 0 (b) 0.5 (c) -3\/2 (d) -5 (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1717 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r - 91899 = -5*r + 22*r - 91227 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 8:57 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507912704 to the power of 1\/2, to the nearest integer?\nAnswer: 38832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 0 - 1\/6*i**5 + 22\/3*i**2 + 0*i + 29\/2*i**3 + 7*i**4 = 0.\nAnswer: -1, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 bigger than 1102\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*a = 24, -2*a + 5*a + 180 = 15*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**3\/3 - 16*j**2 + 68*j + 5. What is the remainder when h(-31) is divided by (4*2)\/((-2)\/(-5))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1622854.8?\nAnswer: 1622854.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/19539 and -97\/468.\nAnswer: 78156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*c**2 - 1 + 204*c**2 - 103*c**2 + c**3 to the form j*c**3 + d*c + v + k*c**2 and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2540, -10711, -24314, -43337, -67768, -97595, -132806, -173389?\nAnswer: -219332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 + 464572*s**2 - 2*s**3 + 2 + 1 - 464343*s**2 + s in the form n*s**2 + u + t*s**3 + a*s + z*s**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -589 + 604. Solve -5*c - 10 = t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91643911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-32)*(-12)\/6\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 1:46 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4357, 1, 0.2?\nAnswer: -4357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 smaller than -4.0928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.021 + 3.679. Let m = x - 0.7. Let k = -1 - m. Which is the third biggest value? (a) k (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3582515.02822 and 0.456?\nAnswer: 3582515.48422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 29, 9, -93, -319, -711, -1311, -2161?\n\"Answer: -7*z**3 + 22*z**2 + 3*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/60 + 7*v**4\/24 + 7*v**3\/6 - 48*v**2 + 2*v + 5. Let f(j) = -3*j + 3. Let g be f(3). What is a(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/(75*(-11)\/(-92400))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 495 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 11:06 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19532.103 months to centuries.\nAnswer: 16.2767525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002917 rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.194 * -0.2\nAnswer: 0.2388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11754 and -0.2.\nAnswer: 2350.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11473240 + 315*b + 11473240.\nAnswer: 315*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002586364684 to six dps.\nAnswer: -0.002586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 630 = 650 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1696530992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-60))\/((-2)\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 159, 293, 475, 705?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*10414824\nAnswer: 4165929.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 331 in 1\/3, -11, 2, 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138278 is divided by 650.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 125, 6, 2, -2, 30 in decreasing order.\nAnswer: 125, 30, 6, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1566 and 2958?\nAnswer: 26622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -8*d + 26. Let r(w) = -45*w**2 + 2*w - 15. Let u(x) = -22*x**2 + x - 7. Let j(a) = d*u(a) - 6*r(a). Calculate j(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -19 + 11 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 64855?\nAnswer: 324275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34364*n**2 - 47*n + 49*n + 33271*n**2)*(-n**2 + 2*n**2 + 0*n**2 + (2*n + n - n)*(0*n + n + n) + n**2 - 2*n**2 - 3*n**2).\nAnswer: -1093*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {h: 1, w: 1, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 116, 126, 140?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55.9 - -5.9. Let n = -49.8 - f. Which is the fourth smallest value? (a) 0.1 (b) 3 (c) -2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3 - 11 + 1 + 1 + (2 - 2 + 1)*(0 - 2 + 1))*(-r - r + 0*r)*((-1 + 1 + r)*(-3*r + 6*r - r) + r**2 - 4*r**2 + 0*r**2).\nAnswer: -22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 452, 663, 856, 1025, 1164, 1267?\nAnswer: 1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*c + 18*c - 2 + 30*c + 3*c to s*c + j and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, 47.74, -1, 5 in descending order.\nAnswer: 47.74, 5, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (-29 + 5 + 31)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/23446 and 81\/1738.\nAnswer: 20374574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/40 - 8\/10. Let p(u) = u**3 + u**2 + u - 1. Let c(b) = -5*b**2 + b - 2. Give y*p(w) + c(w).\nAnswer: -2*w**3 - 7*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15)\/((j\/(j\/j**33))\/j*j) assuming j is positive.\nAnswer: j**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1222122?\nAnswer: -1222113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-14))\/((-1)\/2). Let z = -4886.7 - -4887. What is the smallest value in o, 5\/6, z, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1334445?\nAnswer: 3, 5, 7, 71, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1707013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y\/(y\/(y*y**15))))*y\/y**(-2\/53) assuming y is positive.\nAnswer: y**(903\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.9 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 833348 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 729053854 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 12:46 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 16. Let m(k) = -k**3 - 16*k**2 - k + 2. Let x = -1 + -15. Let b be m(x). What is the remainder when j(b) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 7474*p - 41 = -7459*p, -17 = 3*z + 5*p + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18))\/((-4)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 6.7, 4.75488?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 10950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/1452*6*62\/(-558).\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -298\/7 + 43. Suppose 0 = 5*u + 5*v - 30, 3*u - 18 = -v - 2. What is the second smallest value in j, u, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 9*g**2 + 8*g - 37. Let l be u(-7). Suppose -2*o - l*m + 11 = 24, 0 = -m - 5. What is the highest common divisor of o and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112153681 is divided by 12461520.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -26215?\nAnswer: 7864.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35385.9 + 42142. What is h rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57261316.\nAnswer: 2, 7, 2045047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4606 and 477050.\nAnswer: 3339350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/13)*q)\/(q*((q\/q**(-6))\/q)\/q)*q**11\/(q**(-5)\/q) assuming q is positive.\nAnswer: q**(170\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -22 - 20. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2196846 + 4?\nAnswer: -2196842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 19424.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5333*k + 3 - 362*k**3 - 1 + 5332*k as r + z*k**2 + i*k**3 + j*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + (sqrt(34) - 4*sqrt(2176)) + (sqrt(238)*-3 - sqrt(238))\/sqrt(7))\/(-5*sqrt(12)\/(-5*sqrt(36)\/sqrt(6) + sqrt(6))).\nAnswer: -136*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - l, -141*o + 144*o - 5*l = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l - 8. Let d be l\/(1 - -1)*3. Let g = -0.6129 + 0.1129. What is the third smallest value in -3, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 6*k**2 + (5*k - 3*k - 3*k)*(k + k - 3*k) + 4*k**2 - 4*k**2 + k**2 + k**2 - 3*k**2 + 0*k**2)*(1 - k**2 - 1).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2458*z**2 - 10*z + 6. Let s be x(-10). Let p = s - 173906. Round p to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21021210212111212 - 0?\nAnswer: 21021210212111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**7\/840 + q**4\/24 + 2*q**3\/3 - 2*q. Let s(m) be the second derivative of d(m). What is the derivative of s(w) wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 271108 - 7*l + 22*l**2 - 271108 to the form m + f*l**2 + v*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/10 + 7502\/4495.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -21, -32?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99.4955 + 167.5073. Let d = t + -267. What is d rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141750 = -26804*y + 28379*y for y.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**2 - 5*x + 7. Let m be -3*(2 - 14\/3) + -2. Let p(r) = -7*r**2 + 4*r - 6. Give m*s(w) + 7*p(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -303, -612, -921, -1230?\n\"Answer: -309*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101 - 10210?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/8 - 2\/8. Suppose -5 = -3*q + 4. Suppose -p = q*p - 120. What is the greatest common divisor of p and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p**(-6\/11)\/p)*p)\/p))\/p**(1\/3))\/(p**0)**29*(p**0\/p)**(-4)\/(p**1\/(((p**(-1\/2)*p)\/p*p)\/p)) assuming p is positive.\nAnswer: p**(41\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqkqkkq. What is prob of sequence qq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1478*i**3 - 1059*i**3 + 10182*i**3.\nAnswer: 10601*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3145534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/40 and -71\/54087884.\nAnswer: 540878840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5\/3 + 308*u**4\/3 - 12460*u**3\/3 + 46504*u**2\/3 - 18950*u + 7500 = 0?\nAnswer: 1, 2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 45, 118, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 2*p**2 - 3 - 47380*p**3 + 47378*p**3 - 91*p**4 as h*p**3 + x*p + b + w*p**2 + v*p**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 2506.\nAnswer: -2505.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.97 - 0.03. Let m(s) = -s**2 + s + 1. Let p be m(-1). What is the closest to -2 in 2\/7, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2458? (a) -0.3 (b) 70 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*(z**9\/z)\/z)*z*z*z\/(z**3\/z))**(-5)*((z\/z**(-1\/3))\/z*z*z**(10\/3)*z)**(1\/22) assuming z is positive.\nAnswer: z**(2327\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10328?\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcccbcc. What is prob of sequence bb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -256 - 1?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83, 160, 271, 416, 595, 808?\n\"Answer: 17*g**2 + 26*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 9*z - 374 = 34*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 3. Let q be t(8). Let w be (q - 2\/1) + 0. Let -2\/7*f**w + 2\/7*f + 0*f**2 + 0 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 127500635 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -272, -270, -268, -266?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Let d = -9\/4 + 3\/4. Sort -8, d, p in decreasing order.\nAnswer: p, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35294 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*v - 52*v + 16. Suppose -2*y + 2 + 12 = 0. Is v\/y - 2925\/(-35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*a - 1395, 0 = -2*o - 3*a + 21 + 541. Calculate the remainder when o is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 881 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.9 + 10. Suppose 0 = 2*q - a - 121 - 155, 8 = 2*a. Let x be -1*q\/165 - 6\/(-33). What is the second biggest value in x, -2\/19, f?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 307042?\nAnswer: 3070420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 100\/17, -7 in decreasing order.\nAnswer: 100\/17, -0.01, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 3*a + 5*a**2 - 1. Let b = 8 + -6. Suppose -5*k = 4*p - 13, 9 = k + 2*p + b*p. What is q(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*y - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 4*g**2 + 5*g + 7. Let n be a(-3). Let u be (n\/11)\/((-2)\/(-4)). Let w be 0 + ((-6)\/(-15))\/(6\/10). Is w bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -0.0418148\nAnswer: 0.3763332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-308)\/147 - (-4)\/(-14). What is the tens digit of (-30)\/(-18) + (2456\/y - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/6 - 11\/(-6). Suppose -4*t + 3*c + 12 = 0, -4*t - 4*c = -c + 12. Let b = t - -2. Is b != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -4*k. Suppose -k*l + 3 = 0, 6*d - 15 = 5*d + 4*l. What is the second derivative of 5*h**2 - 5*h**2 + d*h + 8*h - 27*h**4 wrt h?\nAnswer: -324*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2. Let w(j) = j**3 + 4*j**2 + 4. Let k be w(-3). Suppose -14*l + k*l = -9. Let c(g) = 2*g + l*g - 4*g. Determine x(c(r)).\nAnswer: -49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 733790*a*c**3 - 3*a*c**2 + 132851*a*c wrt c?\nAnswer: 4402740*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2030, -0.2, 2?\nAnswer: 2030","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615*k**2 - 1199*k**2 - 2*k + 618*k**2 + 2*k.\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -558, 0.1, -645.\nAnswer: -645, -558, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95081665.\nAnswer: 5, 7, 41, 173, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 628024560 and 1527.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -39.3, -10.7, -0.2, -4 in increasing order.\nAnswer: -39.3, -10.7, -4, -0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 21*d**2 - 39*d - 16. Let b be o(-19). What is the nearest to -3 in -0.07, b, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrureer. What is prob of sequence uc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 51642234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7789464857?\nAnswer: 7789464857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 + ((-22464)\/264)\/(-12)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574 - 285 = -u - 5*g, -4*u + 3*g = -3390. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26687, 26670, 26653?\n\"Answer: -17*y + 26704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3454 <= 3456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 632 by 1131.\nAnswer: 632\/1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215286225.\nAnswer: 5, 17, 61, 46877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78\/175 - 4\/25. Is -1\/4 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from sqoqooqqqqoooq?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/35*280\/(-32)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 1, y: 2, q: 1, p: 1, b: 1}. Give prob of picking 1 b, 1 q, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 7976\/821?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 30*d**2. Let p(n) = -8*n**2 - 2*n - 12659. Calculate p(w(m)).\nAnswer: -7200*m**4 - 60*m**2 - 12659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 - 3*y**3 + y**3)*(-y + 3 - 2*y - 2) + 2*y**4 + 2 - 2.\nAnswer: -10*y**4 + 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 1. Let b(o) = 122*o**2 + 3*o + 50. Let x(n) = -2*b(n) + 26*v(n). What is the second derivative of x(i) wrt i?\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3639805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 20. Suppose -t + 0*r + 4*r = -27, -3*r + 10 = 2*t. What is the least common multiple of t and x(8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 739.4 - 733. Which is the second smallest value? (a) p (b) -2\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 10*h - 6. Let x be s(10). Is 57 a factor of (2\/x)\/(8\/(-4584))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 - (-6 + 4 - -3) - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2, -15*z + 3*s = -10*z + 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (720\/(-132))\/20*3\/(6\/(-2)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdc when three letters picked without replacement from kkcdxkcxlldld.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -246\/4534541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579*p + 157*p - 430*p + 139*p.\nAnswer: -713*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -92458420 rounded to the nearest one hundred thousand?\nAnswer: -92500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1208 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3028, -3617, -4182, -4729, -5264, -5793, -6322, -6857?\nAnswer: -7404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/6*(1 - -2). Let v(y) = 28*y**2 + y. Let j be v(-2). What is the highest common divisor of k and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*j*t**2 - 2*j*t + 293679*t**5 - 2654688 wrt t.\nAnswer: 16*j + 5873580*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-2 - (-11 - -11)) - 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p - 1. Let v(z) = -839*z**2 + 188*z**2 + 217*z**2 + 213*z**2 + 190*z**2. Determine v(f(q)).\nAnswer: -1984*q**2 - 496*q - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/28 + 1 + 1. Put -3, -2, c, -0.15 in descending order.\nAnswer: c, -0.15, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -0.03, 0, -1\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28176 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 + 54. Let r be (-10)\/(-3) - (-13)\/p. Solve -4*y + l = 6*l + 10, -4*y - 26 = -r*l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 52.9973. What is n rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50650500 rounded to the nearest one hundred thousand?\nAnswer: 50700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 16*b**2 + 240 + 233 - 460 + 12*b + b. Does 87 divide g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -516064*n - 26835332. What is k(-52)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*w**4 - w**3 - 4*w**3 - 31*w**4.\nAnswer: -5*w**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 8. Let i be w(-7). Let t(p) = -6*p + 5. Let c be t(i). What are the prime factors of 184 - 3*c\/3?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 70710, 141419, 212128, 282837, 353546, 424255?\n\"Answer: 70709*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/(1\/(-3)). Let b = -63 - -92. Let u = 26 - b. Put -1\/3, u, h in ascending order.\nAnswer: u, h, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 9*l**2 - 2*l + 10. Determine x(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-19)*(t\/t**23)\/t assuming t is positive.\nAnswer: t**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.57 - -47.43. Let o = p - 51. Let m = 3.13 - 4.13. Which is the second smallest value? (a) m (b) -0.2 (c) -7 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xei. Give prob of picking 1 e and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1119835\/1877466 + 1\/32938. Calculate the common denominator of 49\/9 and a.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - p + 2. Let k be g(2). Let a be k\/28 - (-40)\/91. Suppose 2*l - 82 = -92. What is the smallest value in 2\/5, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212 + -216. Let f = -119.7 - -120. What is the closest to -1 in 1, f, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -126*l**2 - 167*l**2 + 297*l**2. Let f(t) = 82*t**2. Calculate p(f(z)).\nAnswer: 26896*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16594, -16375, -16156?\n\"Answer: 219*o - 16813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-4) + 554\/72 and ((-2)\/51)\/((153\/255)\/((-282)\/(-20))).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (((sqrt(77) + 1*sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77))*6)\/(sqrt(700) - -1*sqrt(700)) + 0)*-1 + -5)**2.\nAnswer: 6*sqrt(11) + 10099\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -775070*r**2 + 2431391*r?\nAnswer: -1550140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1218603990?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -2, 7 in descending order.\nAnswer: 7, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwaa when four letters picked without replacement from aggaauuuwwauggu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyy when three letters picked without replacement from onynxxeyoxeq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46370\/31 + -1496. Let x = m + 2332\/837. Calculate the common denominator of x and -101\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12476875 = 13*y - 2*r, 188*r - 16 = 192*r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - b - 5. Let n(o) be the first derivative of -4*o**3\/3 - o**2\/2 - 9*o + 4. Suppose 160 = -61*c + 21*c. Calculate c*n(u) + 7*m(u).\nAnswer: 2*u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 27*s**2 - 83*s - 58. Is a(30) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 12) to base 3.\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*b - 114. Suppose 4*g + b = 57. Suppose 2*u + 24 = 3*u. Calculate the highest common divisor of g and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 - 1. Let p be 2 + (0\/3 - -1). Let b be h(p). Is (-6)\/21 + 13275\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 6*z + 5. Let r be w(5). Suppose 5*c + 5 = 0, 10*t + 86 = 14*t + 2*c. Suppose -4*d + t - r = 0. Solve -4*j = -f - f - 2, -3*f - d = 4*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**2*p - 2*c*p**3 - 20*p**3 wrt c?\nAnswer: 6*c*p - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(41\/5)\/(z**39*z*z) assuming z is positive.\nAnswer: z**(-164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45516880 is divided by 385.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 329638.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 235 + 72\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 + 2468*f\/3 + 55264\/3.\nAnswer: -2*(f - 1256)*(f + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/36*4\/6.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 1:36 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.1692035 to 1 dp.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, b: 3, t: 2}. What is prob of picking 1 t and 1 h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-6)*117\/(-260)*12.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*q - 9 = 0, -q + 14 = -5*z - 5*q. Let i be ((-121)\/22)\/(z\/4). Let x = i - 6. Solve -x*r = -w - 5, -r - 4*r + 3*w = -15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*d**2*g**3*p - d**2*g*p - 4*d*g*p + 5*d*p - 3*g**3 wrt d?\nAnswer: 82*g**3*p - 2*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-66)\/(-7 + 3 - (-6 + 3)). Suppose -2*i + l = -116. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53636623, -107273245, -160909867, -214546489, -268183111?\nAnswer: -321819733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:50 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164092916, -164092910, -164092902, -164092892, -164092880, -164092866?\nAnswer: -164092850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 133321310 (base 4) to base 7\nAnswer: 1052660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 19. Suppose -43*v**2 + 0 + 28*v - 8 + 7*v**2 + c + 20*v**3 - 4*v**4 = 0. What is v?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.71500537 - 0.715. What is d rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23, 29, 37, 47?\n\"Answer: f**2 + 3*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2316708289 + 128320155441661\/55389. Let s = 61\/499 - f. Calculate the common denominator of -39\/4 and s.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 11*g - 474. Give y(28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.097 - 4.397. What is the closest to 4 in 0, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8*u - 60 = 0. Let s(g) = g**3 + 11*g**2 - 15*g - 29. Let z be s(u). Solve -z*v = -3*v - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 801*h + 6063 = -39252 - 10755 for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2196408531.\nAnswer: 3, 19, 38533483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 r when three letters picked without replacement from {b: 2, u: 2, h: 3, r: 3, f: 1, y: 4}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22938\/4763 + 1\/433. Let j = 355 + -3901\/11. Calculate the common denominator of j and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 150 in descending order.\nAnswer: 150, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 136902, 272758, 408614, 544470, 680326?\n\"Answer: 135856*z + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*w - 1484 + 4364. Calculate the greatest common divisor of w and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i + 5*i - 16*i + 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*i = 4*f + 12, 2*f - 4*i = -12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 912, 201, -2010, -6471, -13932, -25143, -40854, -61815?\nAnswer: -88776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/15)\/((-14)\/(-2800)*12).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (296*s + 16 - 1 - 297*s)*(200 - 503 - 282 - 599).\nAnswer: 1184*s - 17760","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 589654 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.13297 litres in millilitres?\nAnswer: 56132.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = 5*i. Let n(j) = -8*j + 1. Calculate n(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1034822, -2069653, -3104484, -4139315, -5174146, -6208977?\n\"Answer: -1034831*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59.9 - -3.9. Let s = k - -52. What is the nearest to s in -1\/5, 3\/8, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555130839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.1349 - 0.0249. Let t = -5.2 + c. Does t = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, c: 2, m: 1, d: 4}. Give prob of sequence ccdm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4715154 (base 8) in base 15?\nAnswer: 1a59cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6536\/5 - 1307. What is the second biggest value in -103, v, 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b116b - 1?\nAnswer: -1b1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 15837.9497271236.\nAnswer: -15839.9497271236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 16*g**2 + 14*g + 12. Let i be m(15). Is (0 + i\/6)\/((-2)\/92) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 + 36 = 0. Suppose o - 42 = -5*b. What is the least common multiple of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = -3*z - 80, 2*n - 90 = 5*z. What is the tens digit of 3\/(-4) - 695\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 3 - (-212)\/1. Suppose 0 = c + 5*i - 66, 5*c + 0*c = 5*i + z. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 13*x + 10*x + 24, 5*x = -4*u + 42 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11427, -11425, -11423?\n\"Answer: 2*k - 11429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.7 - 32.16?\nAnswer: -148.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3 + 1039*f**2 + 228182*f - 13123528 = 0. What is f?\nAnswer: -668, -418, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294828 divided by -2?\nAnswer: -647414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 7. Let f be i(-8). Let w be (1 + -26)*(-6)\/f. Let m = 1 + w. Solve -3*o - 2 = -m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 429 - 425. Let b be (-4)\/(-3*k)*(9 - 9). Solve -2*n + b*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-33)\/14)\/(7\/(-21)) and (78\/4)\/(408\/17).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390\/(-350)*-7 + 8 + (-390)\/50?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 1)*-6 + 3*(sqrt(405) + 0) + sqrt(405) + sqrt(405) - (4 + 1 + sqrt(405) + sqrt(405) - sqrt(405))*-5)**2*-3.\nAnswer: -20523 - 4104*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62646601, 62646613, 62646627, 62646643, 62646661?\nAnswer: 62646681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4559175 kilometers in micrometers?\nAnswer: 455917500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 991525.1 meters in nanometers?\nAnswer: 991525100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 439, -3113 in increasing order.\nAnswer: -3113, -3, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7380 divided by -6.\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 16}. Give prob of sequence ass.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h + 2*h)*(3114*h + 262 + 33 - 3116*h + 2*h**2).\nAnswer: -4*h**3 + 4*h**2 - 590*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 9*m**2 - 60*m - 35. Let o be k(6). Is 47 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 8. Let x be l(10). Suppose -4*n - 4*t + 12 = 0, 1 + x = 2*n - t. Let o(p) = 2*p**2 + p + 1. What is o(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3\/4))**(-29)\/((i*i*i*i\/(i**(8\/5)\/i))\/(i**(1\/6)\/i)) assuming i is positive.\nAnswer: i**(-3299\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/24)\/(143\/429).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/5 (b) 2\/7 (c) -5 (d) 1106 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.558 - -11.958. Which is the closest to 1\/28? (a) -7\/6 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1993?\nAnswer: 199.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 9503490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -106*o**3\/3 - 1499*o**2\/2 - 1517*o. What is the derivative of n(x) wrt x?\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -19*j**7\/7 - j**6\/6 + 14*j**3\/3 + 41. What is the third derivative of x(l) wrt l?\nAnswer: -2280*l**3 - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let c(n) = -51*n + 10. Let d(j) = -c(j) + 6*u(j). Is 26 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4\/5)*x)**(-3)\/(x*x**6)**7 assuming x is positive.\nAnswer: x**(-263\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7544*w - 2272*w**3 + 3*w**2 + 2270*w**3 + 401 + 7544*w - 3*w**2.\nAnswer: -2*w**3 + 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1753 - 1673. What is the greatest common factor of 210 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) 3\/8 (c) 2529 (d) -1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*j + 205*j - 5338 = -18*j + 17894 for j.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27348, -57384, -87416, -117444?\nAnswer: -147468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 7*d + 133. Let v be 4\/(1 - d\/(-25)). Solve -v*t + 6*t + 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 135526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 687645?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -174*u - 14387 + 1511. Which is smaller: -87 or u?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -58*s - 11. Let z(o) = 90*o + 16. Determine 8*u(p) + 5*z(p).\nAnswer: -14*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3*-1*-3. Let x = 1.18 - 64.18. Let v = x - -64. Are v and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -312.4707 - -3.2107. What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i - 63. Let o be f(8). Suppose -6 = 2*t, 4*t + o = -2*c + t. Let x = -12 - -13. What is the smallest common multiple of c and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/26 + (-6)\/(-8). What is the closest to u in 4\/7, -0.3, -0.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19669272 and 578508.\nAnswer: 19669272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54338722.\nAnswer: 2, 31, 876431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.45 + -4.95. Let c = 3.5 + n. Let l be (2\/14)\/(2\/(-4)). What is the nearest to l in -0.2, -1\/6, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.1 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/((-264)\/(-18)) + 7\/6*-1. Let b = -33.4 + 29. Which is bigger: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 294974*v**2 + 348039822597*v\/4 - 348037462809\/2.\nAnswer: (v - 589947)**2*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3837 = 3*n - 2*n, 12 = -4*n. What is the third derivative of o*s**2 - 1324*s**2 - 6*s**6 + 4*s**3 + 0*s**3 wrt s?\nAnswer: -720*s**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*b - 1, -5*w - 2*b = -29 - 16. Let h(u) = u - 20. Let n be h(w). Let x(q) = -q**3 - 9*q**2 + 8*q + 1. Is x(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*a - 4. Suppose 5*y - 3*z - 12 = a, z + 0 = 2*y - 4. Solve 2*n - 4 - 6 = y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f**2 + 349*f + 2520 = 0. Calculate f.\nAnswer: -56\/9, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -871.7 - -862.7. Which is the nearest to 162? (a) -2\/11 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 28 + 20 - (-16 + -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixx when three letters picked without replacement from {x: 4, i: 16}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + sqrt(147))*-1 - ((sqrt(147) + 2)*-2)**2*3) + 1.\nAnswer: -1811 - 343*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + sqrt(275)*1*6 + 4)**2.\nAnswer: 280*sqrt(11) + 13491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s + 4 - 5*s - 5. Calculate the remainder when 22 is divided by h(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(64)*2 + sqrt(64) - sqrt(4)))\/((sqrt(64)\/sqrt(2) + sqrt(32))*-6))**2.\nAnswer: 121\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.02, 0.9, 5, 0.26?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z. Let f(o) = -26*o. Let d(y) = -2*f(y) - 20*n(y). Let t(w) = -51*w. Calculate d(t(u)).\nAnswer: 408*u","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11895?\nAnswer: 3, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*l + 384*l + 393*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_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: Suppose 22 = -3*d - 4*h, d - 4 = -2*h - 14. Let o = -448\/69 + 442\/69. Which is the closest to -0.1? (a) d (b) o (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**3 + 3*f**2 + 3*f - 2. Let m(w) = -w**3 + 4*w**2 + 2*w - 10. Let v be m(4). Does 8 divide z(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/233 in 23, -0.1, 0.02, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (11 + -7) - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 1, 0, 298 in descending order.\nAnswer: 298, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*z + 9*z = -590 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4)*(-3)\/(-24)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2905918427.\nAnswer: 61, 47638007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1208519 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 3, 0.03, -4, 0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48617912*x**4 - 27507*x - 16 wrt x?\nAnswer: 583414944*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3 = -3*f. Let o be 2 + 7\/((-595)\/180). Which is the closest to -1\/3? (a) f (b) -1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5044 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 25. Let d = 195 - 78. Suppose -4*g + d = -19. Calculate the remainder when g is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, 3, 4\/11, -6, -31?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 10*w**2 + 12*w + 12. Let i be b(-9). Let k = i + 18. Suppose k*a + g + 0*g - 30 = 0, -14 = -a + g. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k. Let y(i) = -i + 2. Let u(j) = -j + 1. Let n = 23 - 22. Let d(c) = n*y(c) - 2*u(c). Give r(d(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-7 - 2 + 2)*(8 - 8*w - 8 + 0*w + w - 3*w + (-3 + w + 3)*(1 + 0 - 2) + 4*w - 5*w + 2*w - 33 + 33 + 3*w).\nAnswer: 98*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.001*321.32\nAnswer: 0.32132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 11*i**2 + 11*i - 8. Let t be j(10). What is the nearest to -1 in t, 3, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 280 = 3*m. Calculate the greatest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -4 (c) -1 (d) 0.105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*v)*(-2*v + 2 - 2 + (-2*v - 3*v + 3*v)*(-5 + 1 + 0) + 0*v - 5*v + 3*v + (-4 - 3 + 5)*(-v - v + 3*v)) as n*v**2 + b + t*v and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**3\/3 + 1. Let b(l) = -25*l. Give v(b(x)).\nAnswer: 625*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124968701 a multiple of 4446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/(-9) - 8\/(-36). Sort -4, k, 14.\nAnswer: k, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15051.\nAnswer: 3, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -250. Suppose -5*w + 4*c = -317 - 3, -4*c + 460 = 8*w. Calculate the greatest common factor of w and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -16. Let u(t) be the second derivative of -63*t**5\/20 + t**4\/12 + t**3\/6 - 6*t. What is the units digit of u(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**6\/6 + x**5\/10 - 5*x**4\/12 - x**3\/3 - x. Factor q(y).\nAnswer: y*(y - 1)*(y + 1)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/6)*x**(2\/21)*x\/(x\/(x**(-8)*x))*x\/x**(1\/3))**26 assuming x is positive.\nAnswer: x**(-2951\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 122616.6 to the nearest one thousand.\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269 is divided by 87?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*x - 4. Let t(j) be the first derivative of j**2\/2 + 5*j - 1768. What is t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -25*-1*36\/10. Suppose -d + 14*d + 46*d = -5192. Let n = d + u. Solve -n*o - o = 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.3, 32\/7, 0.2, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -10 + -23 + -9 + 26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 190, 230, 352, 598, 1010, 1630, 2500?\n\"Answer: 7*r**3 - r**2 - 6*r + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/34 - 108\/51?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from zggqzzzzg.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5281049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -21. Suppose 2*t = -5*n - 118 - 122, 0 = -4*n + 5*t - 159. Let p = n + 71. Calculate the remainder when o is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 48 = -54. Let l be (-7 - m) + (-88)\/(-1 - 3). Let i(q) = -4*q + 3. Let d be i(-6). Calculate the highest common divisor of l and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + j = 76 - 70, -2*y + 30 = 5*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 18*p + 19. Let i be l(-8). Let k(j) = 8*j**2 - 43*j**i + 0 - 5 + 42*j**3 + 2*j. Calculate k(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-50)*-85*155\/(-62)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -757552 at least -757586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*x + 817*x - 887*x + 28*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p - 64. Let r(b) = 12*b + 30. Give 3*k(x) + 4*r(x).\nAnswer: 15*x - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 16, 7, -6, -23?\n\"Answer: -2*g**2 + g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46418 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50665 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 43149*l**2 - 2*l + 14. Let p(m) = -19*m. What is q(p(g))?\nAnswer: 15576789*g**2 + 38*g + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/7)\/(76\/(-532))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 8 = -w. What is the tens digit of ((-1092)\/10)\/(w\/(-35))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.066969 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(8\/5)*i)\/(i**(1\/10)\/i) assuming i is positive.\nAnswer: i**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (110\/(-20))\/11 + (-15)\/(-6). Solve 5*n - g*z - 1 = 0, -4*n + 0*z + 2 = -2*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92872 + 72128. Round w to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 11\/2*x**2 + 0*x + 8. Let u(d) = 5*d. Calculate g(u(b)).\nAnswer: 55*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -2, 30 in decreasing order.\nAnswer: 30, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*(g**1\/g)\/g)*g)**(28\/5) assuming g is positive.\nAnswer: g**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z. Let v(q) = -55*q - 9677. Give b(v(k)).\nAnswer: 110*k + 19354","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11640350\/2913 - 3996. Let h = a + -136927\/23304. What is the common denominator of h and 37\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/25*(-20)\/(-6). Suppose -2*u - 6 = -c*u. Calculate the remainder when 25 is divided by ((-1)\/3)\/(u\/(-63)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14666.392 to the nearest 10.\nAnswer: -14670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = 4*v. Let n be v + -1 + 3 + -1. Suppose -4*a + 1 = -x, -3*x = n*x - a - 71. What is the greatest common divisor of x and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1752 and -5.\nAnswer: -1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.119227 times 3\nAnswer: -0.357681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/160 and -71\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**3 + 9*u + 1. Let r(c) = 14*c**3 + 26*c + 3. Let y(f) = -17*d(f) + 6*r(f). Determine y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.15 + -0.15. Let d = 6\/337 + 644\/1685. Which is the closest to 3\/4? (a) d (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**2 + u**4 + 2*u**4 - 2*u**3 - 3*u - 12*u**2 in the form r*u**3 + a*u**2 + t*u + z*u**4 + l and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 0*s**2 - 9*s**2 - 18*s**2.\nAnswer: -35*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 5. Suppose -11 = -3*d + p, 0 = -d + 3*d - 3*p - l. Is 262\/14 - d\/(-7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.148 + -0.072. Let g = k + -0.176. Let h = g - -0.6. What is the fourth smallest value in -8, -4, h, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0*t**6 + 0 - 1\/210*t**7 - 13*t**2 + 23\/6*t**3 - 11\/6*t**4 + 0*t**5 + 0*t. Differentiate g(z) with respect to z.\nAnswer: -4*z**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 3*z**2 + 3*z + 4. Let v = 15 + -6. Suppose -f + 4*f + v = 0. Give h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {x: 3, c: 5, v: 3, n: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -14. Let t = 0 - 0. Let a be (t + 0)*(u + -4). Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178356 a multiple of 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7622 and -0.4?\nAnswer: 7622.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 5552642*n - 72184182. Determine j(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100330 and 2794.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -28*y + 2381. Calculate x(85).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2424)\/(-96) + -25)\/(-1 - (-27)\/30). What is the nearest to 0 in c, -0.8, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 737.664 kilometers?\nAnswer: 737664000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53303 and 10872?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 14*m**2 + 13*m + 4. Let h be r(6). Let c be h\/(100\/882) + 1\/(-5). What is the highest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbmmgeuegbpe. Give prob of picking 1 e and 2 g.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83*t**3 + 37*t**3 + 40*t**3 + (t + 2 - 2)*(5*t**2 + 2*t**2 - 5*t**2).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -39*w - 6. Determine v(-5).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -28*z. Let x(n) = -1115188*n. Calculate y(x(d)).\nAnswer: 31225264*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/5026?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -52310495*-3\nAnswer: 156931485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 2) + 8\/2. Suppose -3*j = 6, 5*i - 2 = i + x*j. Put -1, 5, i in descending order.\nAnswer: 5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -12*b + 2. Let a(w) = -w - 14. Let f be a(-32). Let g(c) = -40 - f*c**2 + 16*c**2 + 40. Calculate j(g(m)).\nAnswer: 24*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - 11.05. Let s = p - -8. What is the smallest value in 0.1, s, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 + -2 + -2 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, and 2 u when four letters picked without replacement from lhllhehlgxuuxhhhxh?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (-8 - -2))\/((-2)\/74). Let q = -35 - v. Factor 1\/2*g**3 + 27\/2 + 27\/2*g + 9\/2*g**q.\nAnswer: (g + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -218*x + 12. Let o be h(-1). Let q = o + -225. Let m(g) = 7*g + 1. Let y be m(1). Solve q*k - k = y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/11604 and 143\/306.\nAnswer: 591804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6547, 3684, -1079, -7736, -16281?\n\"Answer: j**3 - 956*j**2 - 2*j + 7504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2223729*q**2*z**2 - 3*q**2*z + 2*q*z**2 + 2984*q*z + 2*q - 3435*z**2 wrt q.\nAnswer: -4447458*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noopphhm. Give prob of picking 1 p, 1 h, and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 8*b**2 + 9*b - 13. Let w(m) = 3*m - 8. Let s be w(5). Let g be l(s). Put 0, -2, 3, g in increasing order.\nAnswer: -2, 0, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 138 = 2*m, -5*h + 3*m = -0*m - 676. Suppose 126*s = h*s. Let g = -5 + 12. Solve -g = -3*j + 3*l + 11, 5*l + 15 = s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -13.4. Which is the third smallest value? (a) 5 (b) y (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.4 times 4.31?\nAnswer: 493.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z**2 - 1. Let l(b) = 22*b**3 - 7*b**2 + 4. Give l(j) + 6*x(j).\nAnswer: 28*j**3 - j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 7108*c**2 + 4568836*c + 637184828.\nAnswer: -4*(c - 2303)*(c + 263)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 54*x - 818. Give f(19).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111232312 (base 5) in base 16?\nAnswer: -78520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13895798363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v = -73*v + 4685. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13332 (base 4) in base 6?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t - 44 = 39*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 839351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 14 + 4. Suppose -4 = -3*l - u. Let m be (-216)\/l - 0*(-1 + 2). What is the highest common divisor of m and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4118\/852 - 1\/(-6). Let g(c) = -c**3 + 6*c**2 - 7*c + 7. What is g(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 16. Let h be 92\/20 - (-2)\/m. Solve -h*i = 2 + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11014, -10788, -10550, -10294, -10014, -9704, -9358, -8970?\n\"Answer: v**3 + 219*v - 11234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/27)\/((-55)\/(-495)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(80) + -3 + sqrt(80) + sqrt(80)*-2*-2))**2 + (((sqrt(500) - (2*sqrt(500) - sqrt(500))) + 3)**2 - (-1 + sqrt(20) - sqrt(20))*6).\nAnswer: -72*sqrt(5) + 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.43019ml to litres.\nAnswer: 0.06243019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2399 = 4*q - q, 0 = 3*q + m - 2393. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13869\/5 + -2786. Suppose 2*q + r = -3 - 2, r - 11 = 2*q. Calculate the common denominator of w and (70\/18)\/(-3 - q).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1065281.7us to minutes.\nAnswer: 0.017754695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((3 + 1)\/(-4)). Suppose 2*p = -s + 5, u = -5*p + 19 - 4. Let i be ((-20)\/(-30))\/(2*s\/(-3)). Which is smaller: -4\/41 or i?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + p - 2. Let u be (-57)\/6 + p\/(-2). What is the units digit of (-1)\/3 + (-570)\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30301 + -30300. What is the nearest to m in -0.1, 2.18, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*i, 3*i = 5*p - 121 - 55. Solve 10 = 8*d + p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 119*d**3 - 1 + 95*d**3.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*z - 12 + 80, 3*z + 26*j = 6*j + 572 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 120*18*(-3)\/(-432)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 35529337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 654, -28, -2243, 5 in decreasing order.\nAnswer: 654, 5, -4, -28, -2243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -22. Let s = -0.6 - v. Put s, -3, 5 in decreasing order.\nAnswer: 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/12810 and -13\/53760?\nAnswer: 3279360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 38136 to the nearest one hundred.\nAnswer: 38100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168349411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.04 - 3. Let l = 0.64 - p. Let n = l + 0.4. Which is the third biggest value? (a) 1\/11 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192823 divided by -19.\nAnswer: -192823\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 1\/2 (c) 1\/15 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (2 - (0 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263489?\nAnswer: 263489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9409 + -0.6891. Which is the second smallest value? (a) 1\/10 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 754272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 8*p**2 - 9*p - 27. Let k be x(5). Suppose -4*o + 10 = o. Let q = 1 + o. What is the highest common divisor of k and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 4) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/4 + 87*w**2\/4 - 45*w\/2.\nAnswer: 3*w*(w - 1)*(w + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 849343 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4.4. Let d = z - 0.3. Let o be (-18)\/(-8)*10*(-8)\/(-60). Which is the smallest value? (a) -2 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -1, 2, -0.3, 3 in increasing order.\nAnswer: -1, -0.3, 2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**6\/720 + r**5\/60 + r**4\/12 - r. Let l(h) be the third derivative of w(h). Differentiate l(c) with respect to c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5465 + 38263\/7. What is the nearest to -1\/7 in 2\/13, p, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 1\/3*z**3 + 0 - 1\/120*z**6 + 5\/6*z**4 + 38*z**2 - 19\/60*z**5 + 0*z. Let y be b(-20). Solve -u = y*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/6 + u**4\/12 - 7*u**3\/6 - 32*u**2. Is w(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 63\/2, -2?\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -22*n**2 - 10*n - 367. Let d(c) = -11*c**2 - 5*c - 183. Let l(z) = 6*b(z) - 11*d(z). Differentiate l(i) wrt i.\nAnswer: -22*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*24\/(-18). Suppose -10 - i = -3*t. Suppose 0 = -17*o + 4*o. Solve -16 - 6 = -t*b - 2*h, 3*h - 3 = o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 1\/(-4) - (-315)\/28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583947.\nAnswer: 47, 67, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 14*y + 42*y)*(-4 + 2 + 4).\nAnswer: 64*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 2200231211120?\nAnswer: 2200231211132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 8, z: 3, g: 2, x: 4}. Give prob of picking 1 g and 1 i.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 9*k - 235. Let u be a(-18). Suppose 4*q = 5*q + 72. Let y = q - u. Sort y, -16, 0 in descending order.\nAnswer: y, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -146, -145, -144, -143?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azz when three letters picked without replacement from nztzazaatzzz?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26133240 is divided by 4184?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3920.941kg to micrograms.\nAnswer: 3920941000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152397 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:41 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 3}. Give prob of picking 1 u and 1 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a - 24 = 0. Let m = 15 + -13. Suppose -m*v = -3*v - 3. Sort v, 3, a in ascending order.\nAnswer: v, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 2 - 2)*(-3*a + 3*a - a**3) + (2*a**2 - 3*a + 3*a)*(2 + 2*a**3 - 2).\nAnswer: 9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, 1, 20, -1, 16\/5, 1.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -13. Find the first derivative of 0 - 3 + v + 7*l**3 wrt l.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27607, 55225, 82857, 110509, 138187?\nAnswer: 165897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4893.\nAnswer: 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from {u: 6, k: 12, l: 1}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**2*x**5 - 842*v**2*x**4 - 6*v**2*x - 11*v**2 + v wrt x?\nAnswer: 20*v**2*x**3 - 10104*v**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -284, -5, -7, 2?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453116 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 100213 (base 5) to base 6\nAnswer: 22423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300) + sqrt(1300) - (sqrt(13) - (sqrt(13) + 1*sqrt(117))) - (2 + (sqrt(13) + -6*(-2 + sqrt(13)) - sqrt(13)))*-3)**2.\nAnswer: 420*sqrt(13) + 2089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13642859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 23*v. Let c(y) = 513*y - 118. Calculate k(c(w)).\nAnswer: 11799*w - 2714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**7\/168 + h**6\/36 - h**5\/6 - 5*h**4\/3 + h**3\/3 + 16*h**2 - h - 6. Let z(m) be the second derivative of w(m). Factor z(l).\nAnswer: 5*(l - 2)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 - 2. Let i = 95 - 98. Give h(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607044 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-15) - -4)*5 - 3\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 z when four letters picked without replacement from hhzzzhhzzzzzhzzz?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -261*o**2 + 13975*o + 30666.\nAnswer: -(9*o + 19)*(29*o - 1614)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015 != 606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 5, e: 1, h: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -3) + (4 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 26*q**2 - 1. Let x(j) = j - 3. Let t(i) = -i**2 - 3*i + 9. Let r(w) = t(w) + 3*x(w). Calculate r(a(p)).\nAnswer: -676*p**4 + 52*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 51 (b) 4 (c) -58 (d) 0.25 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16477.7 and 21329198.\nAnswer: 21345675.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 133514500.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*p - 1166, -1603 = -4*p - 3*k - 0*k. Suppose 0 = 8*f - 125 + p. Let t = f + 88. Does 27 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28672.226857 and 1337?\nAnswer: 27335.226857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1092 and 21714?\nAnswer: 564564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 504*m - 20. Let x(p) = 176*p - 7. What is -4*h(f) + 11*x(f)?\nAnswer: -80*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -854, -2034, -3684?\nAnswer: -5804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*f**2 + 10 - 56*f**2 - 10 as v*f + d + m*f**2 and give m.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*u - 208*u - 214*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -25. Let l be (-20)\/(-2) + u\/3*-3. Suppose 72 = -l*m + 5*m. Do -67\/4 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 175 + 11. Is x greater than -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + -111. Suppose 0 = -4*m - 3*w + h, -4*w + 15 = m - 0*w. Suppose 5*c + m = 573. What is the remainder when c is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 4*u + 3. Let w = 10 - 6. What is the units digit of q(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 2:11 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.2 - -0.2. Let v = 0.27 - 17.97. Let q = v - n. Which is the second biggest value? (a) 5 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 24. Let o be ((44\/(-8))\/(-11))\/(((-12)\/(-64))\/3). What is the greatest common divisor of y and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1.1, 4, -1\/19, 2, 1.1056.\nAnswer: -0.3, -1\/19, 1.1, 1.1056, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssk when three letters picked without replacement from ssskk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/12 + 4*x**3\/3 - x**2 + 15*x. Let c = 5 - 2. Let f be u(c). Solve -3*p = 4*o + 2 - f, -5*p + 15 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4182487 in 2\/9, -2\/15, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-4*j**2 - j**4 - j**4 + 6*j**2 - j**4 - 4*j**4 + 4*j**4 + (2*j - j + 0*j)*(-2*j**3 - 2*j**3 + 2*j**3)).\nAnswer: 5*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219 - -219.000996. What is a rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1966904, 3933807, 5900710, 7867613?\n\"Answer: 1966903*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 99543*b**2.\nAnswer: 3*b**2*(b - 33181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1 - (-8 + 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-1))\/(-30)*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*b + 1, 3*b + 12 = -4*f - 7. Let l = 174 - 174.4. What is the smallest value in f, l, -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9819.445 decades to years.\nAnswer: 98194.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 14*h - 6 = 12*h, 5*t - 21 = h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -247, -128, 165, 710, 1585, 2868?\n\"Answer: 13*q**3 + 9*q**2 + q - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 12084.\nAnswer: 1\/12084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 25*z = -4*l + 969, l - 5*z = 258. Suppose 8*q - 259 + l = 0. Solve -3*h - 5*i = -h - 10, -4*h - i + q = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1753786217?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-12)*-3*-2. What is the first derivative of 2*r**4 + 4*r**2 + 6 + 0*r**2 - u*r**2 wrt r?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -360613.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -21*(-13)\/(-39) + (-1 - -68339) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73241783*t**3 - 43197*t**2 - 1241 wrt t.\nAnswer: -439450698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = 26*v. What is the closest to -1 in v, -1\/10, 3, 0.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 10*j + 10. Suppose -5*b = 3*f + 32, -3*f + b - 23 = -3*b. Let p be i(f). What is the units digit of (-3)\/(p - 2)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2736715 divided by 5\nAnswer: -547343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 14 = 4*d, 4*u + 8*d = -d - 29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6715805 millilitres in litres?\nAnswer: 0.0006715805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 864, 1557, 2094, 2487, 2748, 2889?\nAnswer: 2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285 + -13 - (1 + -3)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240062311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 503 + -491. Put 1\/3, j, 2, -0.5 in descending order.\nAnswer: j, 2, 1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(7 - 3 - 2)*(-3*v + v + 3*v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*d**4 + d**2 - 85*d + 2.\nAnswer: 144*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 20*f + 27. Let i be t(13). Let b = i - -68. Let k be (-12)\/(-54) + b\/(-18). Let w(n) = -n**2 + 1. What is w(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 11*d + 25. Let w be i(-9). Suppose 0 = -5*f - 3*h + 9, -2*f = -2*h + w*h + 4. Factor -3\/2 - 3\/2*k**2 + f*k.\nAnswer: -3*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21454999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -10511 and 5.58 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3097 less than 1823?\nAnswer: -1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 11. Solve r = 4*d + 3*p - 5*p, 5*d - 4*p + 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2. Let c(k) = 87*k - 10. Give x(c(o)).\nAnswer: -7569*o**2 + 1740*o - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 2 + -25 + 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350013 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 817423 or 817421?\nAnswer: 817421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1592 - 284. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/28, 45, 166, 5 in decreasing order.\nAnswer: 166, 45, 5, -1\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 99.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b + 600. Let m be o(-67). Sort m, -2, 95 in ascending order.\nAnswer: m, -2, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -9, -3 in ascending order.\nAnswer: -9, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 283, 566, 847, 1126?\n\"Answer: -y**2 + 286*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009774 rounded to seven decimal places?\nAnswer: -0.0000977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 411129463 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*p - 210, 0*p = 3*h + 2*p - 128. Suppose 510 = 5*f - 5*i, 14*i - 18*i = -3*f + 309. Calculate the greatest common factor of f and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from yjyxxyzyjuyxyyzrrzxy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304808.\nAnswer: 2, 7, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t + 5 - 13*t - 14*t - 17*t)*(-t + 4 - 4).\nAnswer: 34*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-129))\/(4*57\/304*48\/(-54)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8246, 16580, 24924, 33284, 41666, 50076?\nAnswer: 58520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 13*b**4\/24 - b**3\/6 + 13*b**2 - 22*b. Let x(p) be the first derivative of h(p). Let w(r) = -r. Calculate x(w(z)).\nAnswer: -13*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 5:42 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmm. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 30*u - 48, -5*b + 59 = 3*u + 92 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y - 17. What is the tens digit of x(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90.5 + -90.6. Which is the nearest to m? (a) 0.2 (b) 67 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 6*p**2 + 26 - 4*p**2 + 2*p**2. Let g(y) = -y**2 + 1. Let d(t) = -6*g(t) + w(t). What is the remainder when 38 is divided by d(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19*t**2. Let v(p) be the second derivative of p**3\/6 + 33*p. What is z(v(o))?\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 5*o**2 - 5*o + 8. Let z be b(-6). Solve f = -7 + z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q - 140 = 4*q. Let u = 66 + -26. Solve q*t + 5*v = u, 3*t - 4*v + 3 = 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16548070.\nAnswer: 2, 5, 7, 11, 21491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/8 + (-41)\/(-164). Let k(d) = -401*d - 30. What are the prime factors of k(j)?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**5 + 16*t**4 + 26*t**3 + 24*t**2 + 5*t. Let y(x) = x**5 - x**4 - x**3 + x**2. Suppose -2*b = -6 + 14. Let f(a) = b*y(a) + r(a). Factor f(h).\nAnswer: 5*h*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3 + 4 + 0 + 212*o**2 to the form l*o**2 + y*o + i and give l.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 350 + -25355?\nAnswer: -25005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 15*v**3 + 7*v**3.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -13 - 11 - (-1 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 546985 at most as big as 546985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 15, o + 2*u = 4*u + 6. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*(-1 + -1)*5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222725795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 857113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - (-15)\/10*(-16)\/(-6). Suppose 0 = -2*a - 2*a + 36. What is the greatest common factor of f and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 26*g - 2. Let r be i(-2). Let z be r\/(-4) + 3\/6. Let x = 40880 + -40867. Is z >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564337 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2266848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26861\/18942 + -6\/451. Calculate the common denominator of ((-3)\/24*-25)\/(1*2) and m.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1396.115 + -338\nAnswer: 1058.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.72 + -76.72. Let v = 76.3 + u. What is the closest to -1 in v, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4 - 2279*a**3 - 1304125*a**2 - 6432009*a + 18098766 = 0.\nAnswer: -1137, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18387360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x - 156822 + 78569 - 154867 = 0. What are the prime factors of x?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -5, 5, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + j - 4268, -94*j + 7110 = 5*n - 93*j. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.98 - -9.8463. Round s to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384242436 to the power of 1\/3, to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 311\/6057?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 25*j**4\/12 - 7*j**3\/6 - j**2 - 8. Let q(a) be the second derivative of u(a). Find the first derivative of q(x) wrt x.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: c77447 (base 13) to base 10\nAnswer: 4671557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*c - 71*c + 8*l = 51, -15 = c - 2*l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -11*f**4\/12 + 13*f**2\/2 + 14. Let u(s) be the second derivative of l(s). Let k(d) = 2*d. Calculate k(u(q)).\nAnswer: -44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 32 = -4. Let t be 68\/5 - 6\/(-15). Let r = 20 - t. Solve -f - y - d = -r*f, f = -y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 5*(2 + sqrt(11))**2 - sqrt(132)\/sqrt(3).\nAnswer: 19*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = b + 1359, i + b - 212 - 245 = 0. Suppose -i = -18*g + 16*g. What are the prime factors of g?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0063273199 to four dps.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*v**3 + 26*v**2 - 285*v.\nAnswer: v*(v - 10)*(v + 114)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 8. Let c be u(-12). Suppose n - 4*h + 190 = 4*n, c*n - 2*h - 224 = 0. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 15. Let g be s(10). Suppose -3*o + 1 = -g. Find the third derivative of -8*z**o + 17*z**2 + z**2 + z**4 - 5*z**4 wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:18 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abddaddbbdadeabwed. What is prob of picking 2 b and 1 w?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -19*c - 700. What is w(-37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) 2 (c) -0.3 (d) -9 (e) -2 (f) 23396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by -6.\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*j**3 - 24\/5*j**4 + 0*j**2 + 0*j + 3\/5*j**5 = 0. What is j?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17238585 and 2190.\nAnswer: 34477170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -225 - -225. Let p = 73 - 72. Let g be (4*p)\/(-4 - 64\/(-12)). Solve g*z + u*q + 14 = -4*q, -4*q - 20 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.13, 2\/7, 299, -1, 0.3?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**4 + 235880*m**3 - 28*m - 64792863?\nAnswer: 8*m**3 + 707640*m**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 3, i: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/14 - 6\/(-14). Let w = 2\/1461 + 26176\/89121. Is i less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-2794)\/(-366) + -4. Let r = f + 2\/61. Put r, 3\/20, -0.2 in increasing order.\nAnswer: -0.2, 3\/20, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q + 167. Give v(-19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 m when four letters picked without replacement from {h: 1, k: 1, l: 2, e: 7, m: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(6\/5*65\/(-52))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91416, -77678, -63952, -50244, -36560, -22906?\nAnswer: -9288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -60. Let p = 3 + -5. Let v = 4 + p. Which is the nearest to -1\/3? (a) v (b) f (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 + 522*n**3 + 27591*n**2 + 482040*n + 857844 = 0. Calculate n.\nAnswer: -94, -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212311 - -313?\nAnswer: 213230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 20*i**2 - 40*i + 216. Give z(-6).\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57056711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 7:53 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15351594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2521 + 616 + 23543 = 580*s for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*k = 5*u - 12, k = -3*u - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -705 times 181047?\nAnswer: -127638135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1238394, 2476789, 3715184, 4953579, 6191974, 7430369?\nAnswer: 8668764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122.007632 + -64.007583. Let l = -58 + q. Round l to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8733 - 0.06\nAnswer: 2.8133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -0.0108, 0.2?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 97c7 + 15ab?\nAnswer: b0a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234735 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92569*k**6 - 24*k**3*o + k**2*o - 2*k**2 - 3*k*o + 5*o + 2252 wrt k?\nAnswer: -11108280*k**3 - 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -43*v - 2. Give b(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*a**4 - 64\/5*a - 4*a**3 - 58\/5*a**2 - 24\/5 = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:49 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 4:49 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -5, 5, -9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 k when three letters picked without replacement from hkhhhkkkhhhk.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2691425, 2691391, 2691357, 2691323?\nAnswer: 2691289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + 1812631087.\nAnswer: 1812631087.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 at least as big as -2\/23159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 175*u + 25550540 - 65947890. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o - o)*(-3 - o**4 + 3) + 3*o**4 + 2*o**5 - 3*o**4 + (-146*o**3 + 146*o**3 + 7*o**4)*(20*o - 7 + 7).\nAnswer: 144*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107218 is divided by 3257?\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 113961531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3688*f + 48434. What is s(13)?\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9493181?\nAnswer: 23, 41, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 181 + -226 - (-63 - (11 + -25))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18*i. Let l(t) = 2. Give -18*l(y) - w(y).\nAnswer: -18*y - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 86?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47354 by 2.\nAnswer: -23677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4135, -8268, -12401, -16534?\n\"Answer: -4133*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 893469.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjj when three letters picked without replacement from {v: 4, j: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -275.\nAnswer: 1\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*i = -35, 4*i = j + 2*i - 13. What is the highest common divisor of j and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2 (c) -5 (d) 4\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145.6 less than -0.03?\nAnswer: -1145.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3148 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -25*t**2 + 3821*t + 3826. Determine i(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 571324 rounded to the nearest 1000?\nAnswer: 571000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 3\/8*j**4 - 1\/4*j**6 - 3\/5*j**5 + 0*j + j**3 + 0*j**2 - 22. Find z, given that c(z) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 814 = 83*u + 2960 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/8*(-24 + (8 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19779\/20 - -994. What is the common denominator of 47\/45 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/12)\/((-155)\/40 + 4). Solve 4*b + 0 = -z - 17, -y*z + 2 = -b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -30) + -31 + -17 + -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - a + 5. Let w be u(0). Let g be w*(18\/(-10))\/(-3). Suppose 3*n - 5*t - 65 = 0, 2*n - 42 = -t + g*t. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -21. Let n be 3 + -1 + 35 + f. Suppose -2*a + 7*a = n. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-6)\/(-14) - 72\/(-21). Let u(k) be the first derivative of -3\/10*k**4 - 4\/25*k**5 + 0*k**3 + 0*k + z + 1\/5*k**2. Determine l so that u(l) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - 2) + -31)\/(11589\/15452).\nAnswer: -112\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-14 - -12 - -84) - (4 + -6).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q, 2*d - 5*q = 0. Suppose b = -3*x + 5, b - 2 - 3 = d. Suppose x = -12*n + 15*n + 22500. Round n to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**2 + 179785*d + 539400 = 0.\nAnswer: -3, 35960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*f = 20, 0 = -s - 3*f - 0*f + 2. Solve -4*j - 12 = -4*z, 2*z - s*j + 12 = 6*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 368\/(-276)*((-12)\/(-16))\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 22. Let q(l) = -9*l - 5. Let x be q(-3). Let p be s(x). Suppose -15*u + 7*u + 32 = p. Solve c - u*r + 13 = 0, -4*c - 4 = -3*r - r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {a: 2, k: 2, g: 3, j: 7, u: 3, r: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6246 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -3 - (-48 - 1). Suppose 5*d - r = -3*m, 6*m - 75 = m - 5*d. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 2 + -2.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/19 (b) -97\/8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10213 - 0?\nAnswer: -10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -314526073.1 rounded to the nearest one million?\nAnswer: -315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -8)*4\/((-64)\/6). Let v = 0.02 - -0.48. Which is the third biggest value? (a) 2\/7 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*g - c, g - 5*g + 4*c = 16. Let u(l) = -27*l**3 + 7*l**2 + 5*l - 9. Let d(a) = -1. Let b(v) = -6*d(v) + u(v). Is b(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -33380\nAnswer: 16690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 7)*(-6*n + 6*n + 5*n) - 12*n - 8*n - 23*n.\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001100110101 (base 2) in base 15?\nAnswer: b275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 20 = -6*l + 4*i, -3*i = -5*l + 26. Let q be 42\/l*2\/3. Find the second derivative of q - 7 + 2*v**5 - 2*v wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 62, -69925 in ascending order.\nAnswer: -69925, -5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*b**3 + b + 95 + 60*b**3 + b - 19*b**3 - 16*b**3 to o*b**3 + p*b + c*b**2 + h and give h.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1924 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f - 16. Calculate the least common multiple of j(-9) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8976*s**2 + 385*s*x + x + 1068395 wrt s?\nAnswer: 17952*s + 385*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*s + 13, 3 = 3*r - 2*s - 8. Suppose r*v - 6*x - 410 = -2*x, 255 = 2*v + x. Suppose 0 = 6*z - 20 - v. Does 25 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -13. Find the third derivative of 24*a**6 + 2*a**2 - r*a**6 + 7*a**2 wrt a.\nAnswer: 840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19971922, 79887741, 179747440, 319551019?\nAnswer: 499298478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5 + sqrt(40)\/sqrt(2) - (sqrt(240)*1)\/sqrt(12)))**2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, d: 3, b: 4}. What is prob of sequence dd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1.1\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22523097.\nAnswer: 3, 181, 41479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22482 + 44323. Suppose 25641 = 2*w - m. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(637)*2 + 4 + 3)**2*1*1.\nAnswer: 196*sqrt(13) + 2595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**(-16)*x**(-12)\/(((x\/(x\/((x*x**(2\/25))\/x)))\/x)\/x*x*x) assuming x is positive.\nAnswer: x**(1298\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 50 = 10*v. Solve -4*i + 23 + 5 = 4*h, -2*h - 5*i + 26 = v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6) + 0)\/((-3)\/180). Solve 4*g = -d - x, -5*g = -3*d - 1 + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2943804186?\nAnswer: 2, 3, 163544677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 0.02, -1\/909, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**2\/2 - 21387*n - 122511123\/2 = 0.\nAnswer: -10289, -3969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 9*x**2 - 9*x + 10. Let s be q(8). Find the third derivative of -2*y**s + 9*y**2 - 6*y**5 - 2*y**2 - 3*y**5 wrt y.\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76605 divided by 5.\nAnswer: -15321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**2 + 10*j - 32. What is the remainder when a(4) is divided by 55?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -2\/9 (b) -198 (c) 4 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(0*g**2 + g**2 + g**2) + 3*g + g**2 - 3*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40580*k - 40339*k + 11809 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27513, -28192, -28861, -29520?\nAnswer: -30169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66, 184, 352, 570, 838?\n\"Answer: 25*y**2 + 43*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -12.3, 1\/24, -137, 1?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1900 and 320796?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/215)\/(4\/15). Let p = 61\/516 - r. Calculate the common denominator of 54\/7 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -12*o**3 - 15. Suppose 0 = 31*u - 635 + 170. Let d(g) = g**3 + 1. Calculate u*d(t) + z(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeaa. Give prob of sequence aa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2) + (-3)\/(-2). Let w(s) = s**3 + 9*s**2 - 11*s - 9. Let c be w(-10). Let b(g) = 5*g - 5*g - 2*g + c - 2. Give b(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41954973 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-18)\/s)\/(s**(-30)*s)*(s*s**13)**(-26) assuming s is positive.\nAnswer: s**(-353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -13*b**2 - 147 + 20*b + 2\/3*b**3. What is k(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, -8, -3, 1116, 6 in decreasing order.\nAnswer: 1116, 105, 6, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-7))\/(6\/(-588)). Let o be -27 - ((-24)\/(-4))\/2. Let s = o + b. Calculate the greatest common divisor of s and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.311 plus 2.5?\nAnswer: 2.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i. Let s = 18 + -15. Let l(r) = s*r**2 + r**2 - 8*r**2. What is v(l(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 214, 1208, 2842, 5116, 8030, 11584, 15778?\n\"Answer: 320*h**2 + 34*h - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1140 (base 11) to base 9\nAnswer: -2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1857 + 2041. Calculate the lowest common multiple of 8 and j.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 3*g**5\/20 + g**4\/24 + g**3\/6 + 3*g**2. Let b be z(4). What is b rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589444 divided by -63?\nAnswer: -589444\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 21*c + 2*c**2 + 7 + 35.\nAnswer: 2*c**2 + 21*c + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-2694)\/2692) + -1. Let q = 13443\/22882 + w. Let x be (0\/2)\/(134 - 133). Is x > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 8 + 6 - 5 + 20*s**2.\nAnswer: 20*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -936, -952, -954, -936, -892, -816?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 9 - 39 = -2*c - i, 20*c + 10*c - 2*i = 244 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l + 0 - l**4 + 1\/2*l**3 + 0*l**2 + 1\/2*l**5.\nAnswer: l**3*(l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 88*g**2 - 1\/210*g**7 + 0*g**5 + 0*g + 0 + 0*g**6 + 0*g**4 - 37\/3*g**3. What is the derivative of n(v) wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 16*o**2 + 21*o + 29. What is v(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1584143.6 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 15 + 5 + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*o + 185*o + 2*b = -17, 4*b = -3*o - 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52279029 and 15.\nAnswer: 261395145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02579294 to 4 dps.\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6099685 plus -8?\nAnswer: -6099693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54.3385774 + -0.0558826. Let w = a + 54.4. What is w rounded to four decimal places?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**7\/231 + 2*c**6\/55 + 9*c**5\/110 + 2*c**4\/33 - 5*c - 16. Suppose p(k) = 0. Calculate k.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18567193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/(-72))\/((1125\/(-27))\/25). Which is the fifth smallest value? (a) 346 (b) 5 (c) -1\/7 (d) f (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2 (c) 1337\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24725 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/12 + 5)\/((-4)\/(-56)). Which is smaller: 242\/7 or o?\nAnswer: 242\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 9 - c**2 + 4 to d + z*c + h*c**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 x, and 1 g when four letters picked without replacement from zzzzzzzzzzxzzzgxz?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 3 (b) -0.3 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 5. Let p be 3*13\/6 - 41\/82. Let r(a) be the first derivative of -5\/2*a**2 - 12 + p*a. What is -6*d(f) - 5*r(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 + 4*f**2 + 362*f - 364 = 0 for f.\nAnswer: -13, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from qqsseqssqe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378556 is divided by 126145.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-17 + (-3 - -18) - -6) - 80?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80888.\nAnswer: 2, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160961?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 - (2 + 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5606979325?\nAnswer: 5, 19, 11804167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 3, m: 16}. What is prob of sequence om?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14071 is divided by 7031.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, n: 1, s: 2, q: 1, g: 1, c: 2}. Give prob of sequence cgsq.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -5)*(0 + -7 - -6). What is the fifth smallest value in w, -2\/7, -0.35, 0.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 94 + 117 = -4*y, -5*y - 2*w = 32 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 5*v**2 - 14*v - 11. Give w(-8).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -3, 44, 129, 264, 461?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(2 + 0 + -3). Let f be 3\/(4*j\/24). Is (-35)\/(-2)*(0 + f) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5334\/3859 or -1?\nAnswer: -5334\/3859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/380)\/((-10)\/25).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a = 3*w - 47, -11*w + 10*w + 5*a = w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 24480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36555736*h*x - 417925713*h wrt x.\nAnswer: -36555736*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/7)\/(6\/(-49)*(-29862)\/(-6399)).\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82519 and 15215?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 252?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*v - 2009 = 826, -2274 = -4*f + 2*v. List the prime factors of f.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**0*v)*v**2\/v)\/(v**(-2\/5)\/(v*v*v\/(v*(v\/v**(-7))\/v*v))) assuming v is positive.\nAnswer: v**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*k**3*q + 100*k*q + 82*q wrt k?\nAnswer: -12*k**2*q + 100*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 - 112*l**2 + 111*l**2 + 2*l**3 + 1 in the form k*l**3 + b*l**2 + i*l + q and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 2. Let f be 6 - (-1 + 1\/1). Let l be h(f). Calculate the common denominator of -19\/11 and 4\/((30\/l)\/5).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1096, -1.1, -1.61?\nAnswer: 1096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 18 - (-2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12139851389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-g + g - g**2) + (20*g + 37*g - 47*g)*(-3*g + 0*g + 0*g).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -275*s - 2 - 318*s + 201*s + 3 - 283*s in the form q*s + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -622 in 1.68, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22128 and 46826536?\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*a + 149, 17*d = 22*d - 4*a - 128. What is the remainder when 164 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, x: 3}. Give prob of picking 4 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -0.07, -3\/5, 0.4, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-4 - -3 - 7 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121 - (212 - 75)) + -84.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-22) + (-121848)\/(-297). Let w = j + -411. Is w smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -17*a**2 + 7*a**2 + 0*a**2 + 5*a**2. Suppose 5*q = -4*y + 23, 0 = 7*y - 2*y - 5*q + 5. Let x(w) = -w**2 + y*w**2 + 2*w**2. What is c(x(b))?\nAnswer: -45*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1. Let i(z) be the third derivative of -5*z**4\/6 - 4*z**3\/3 - 19*z**2. Let o(k) = 5*i(k) - 15*v(k). Let a(p) = 11*p + 6. Determine 55*a(n) + 6*o(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3 = -78. Let z = n + -19. Are z and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1*2)\/((-8950)\/(-690) + -13) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 249905*w - 14010360.\nAnswer: 5*(w - 50037)*(w + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**5\/60 + b**4\/2 + 11*b**3\/2 + 6*b**2 - 2*b. Is 6 a factor of c(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4 - 8*q - 3*q - q**2 - 1 + 0*q. List the prime factors of r(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 318*y + 5. Calculate b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155475.0054 + 155538. Let t = f + -63. What is t rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 205663 + 619438. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 877876 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 1. Let a be z(2). Let s be 3\/(-6) - (-1 + ((-510)\/(-20))\/(-17)). Solve -16 = -3*v - 5*w, s*v + 4 = v + a*w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from ssuaiaeisussaasua?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22660817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 200, 201, 204, 209, 216?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1901 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 13380, -7, -4 in decreasing order.\nAnswer: 13380, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000301532546 rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -3 + 10 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 54*y - 4. Let g be d(3). Let a = 286 - g. Suppose 2*n + 6*n = a. What is the highest common factor of n and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1978\/645 - 4\/(-3))\/((-5)\/(-30450)). Calculate the highest common divisor of z and 264.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/(1\/18). Suppose 7 = -3*z + 1, -x - 4*z = k. Let q(g) = -g**2 - 6*g + 1. Determine q(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from miiiimmiimi. What is prob of sequence mimm?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3075720*a - 3075732*a + 6151450*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 5*u + 3. Let f be j(4). Suppose 2*v + 3*x - f = -3*v, -x = v - 1. Factor 0 - 2\/5*b + 2\/5*b**v.\nAnswer: 2*b*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/3 and 49\/283704.\nAnswer: 283704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 - 165. Let b = o - -387. Calculate the least common multiple of 30 and b.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6919, 13943, 20959, 27979, 35015, 42079, 49183, 56339?\nAnswer: 63559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66202469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464*y - 373*y = 324415. Is y a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -9. Let d be 6\/33 + 53\/n. Solve d = 5*r - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*d = -504, -4*z + 4*d = 638 - 134. Let l = z + 203. Let o = l - 46. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6122 rounded to two decimal places?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*b - 44, 110*b - 105*b + 2027 = -498*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -2. Let m = 0 + g. Suppose s + 45 = 2*l, -m*l = 6*s - 2*s - 60. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -x - 5, 71 = -5*x + 2*y + 62 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-112)\/21*(-9)\/6*-2. Let t(r) = -r - 10. Let a be t(-7). Let i be (n + 24)*(1 + a). Is i > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (462\/(-55))\/(3\/(-10)). Suppose -4*z = -2*i, 4*z - 5*i + u = 8*z. Solve -t - 15 = z*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4755264 is divided by 411.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 4}. What is prob of picking 2 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36 from 16.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 211231885 by 211231885.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.324 - -0.324. What is the closest to 0.3 in h, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4)\/f)\/f*f**30 assuming f is positive.\nAnswer: f**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/(-156))\/((-17)\/((-13464)\/55)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 13*u - 1. Let v be y(14). Let x(s) = -s**2 - 15*s. Let f be x(v). Solve f = -2*z - 2*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 2\/49251, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 7660 in descending order.\nAnswer: 7660, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaca when four letters picked without replacement from aaaaaaca?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 6612*x + 1 - 4 - 6619*x - 3*x**3 - 6*x**2. Let y be ((-10)\/(-2))\/(0 - 1). Let r be q(y). Let u(o) = -o + 1. Calculate u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(50))\/sqrt(10).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 6211314.\nAnswer: 6211314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4376 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -41. Let y be 358\/(-12) - (-2)\/(-12). Let a be 138\/10 - 6\/y. Is a less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 24*b + 38*b - 13*b - 90, 35*b = -3*f - 47 - 7 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26436190.\nAnswer: 2, 5, 11, 17, 67, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxoooooxoo. Give prob of picking 1 k and 1 o.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 19329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 614\/6)*(-25 - 1067\/(-44)). Which is the smallest value? (a) g (b) 5\/4 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 1)*(0*z - 4*z + 2*z) + 4*z - 4*z - 6*z - z + z - 2*z + 5*z + z - 5*z + (0*z - 2*z + 3*z)*(-48 - 35 + 7) as h*z + y and give h.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1631*i**3 - 3280*i**3 + 1646*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -5 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*d + 185*d + 521 = 1697 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - l + 52. Let f be i(0). Suppose -8*b = -4*b - f. Let z = -3 + 8. Solve 2*y + 2*t - 2 = 0, -2*y - z*t = y - b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -32, -31, -30, -29, -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from bdtnkto.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/318 and 71\/6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 49*s + 3824. Let a be m(91). Let v(r) = 72*r**2 - r - 1. Let t be v(-1). What is the highest common factor of a and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -41*c**3 - 7*c - 7. Let f(l) = 20*l**3 + 3*l + 3. Determine -14*f(w) - 6*o(w).\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/11, 1\/8, 2716?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -17. Which is the nearest to 0.7? (a) n (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(9\/(-30) + 0). What is the common denominator of ((-30)\/s)\/((-66)\/188) and 97\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5558, 17538, 37500, 65438, 101346?\n\"Answer: -l**3 + 3997*l**2 - 4*l + 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -2*m**4\/3 + 269*m + 223. Let g(d) be the first derivative of f(d). Let j(c) = 18*c. Determine g(j(w)).\nAnswer: -2592*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -351\/7 + 50. Let c = 95 - 95.123. Let z = -5.123 - c. What is the smallest value in z, 2\/11, x, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*310\/80*21248\/6.\nAnswer: 2, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*g - 9260 = 0, -4*j - 4*g - 1524 + 8928 = 0. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 3\/4*y**5 + 0 - 11*y + 3\/4*y**4 + 1\/5*y**6 - 3\/2*y**2 - 1\/2*y**3. Factor b(o).\nAnswer: 3*(o + 1)**3*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/(-1598))\/(1\/(-2)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-115)\/25 - 13\/45. Which is the second smallest value? (a) -2 (b) 4 (c) 2\/15 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6 - g - 27 + 8 - 5 - 3. Determine n(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 21*b**2 + 585*b + 12252. Determine l(-24).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9324, -18523, -27592, -36531, -45340?\n\"Answer: 65*d**2 - 9394*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429070 is divided by 487?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 6. Let w be 4*-1*(-1 + 5). Let d = g - w. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4.4. Let l = 0.37 - y. Let r = -0.03015 - l. Round r to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 1. Let k(o) = -25*o + 11. Let d(j) = -6*h(j) + k(j). Differentiate d(n) wrt n.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-1))\/1)\/(16\/16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 61*y - 425. Let t be k(7). Which is the nearest to t? (a) 0.1 (b) -3.8 (c) 0 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**3 + 15*k**3 + 6*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2967473 + 1074173. What is x rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(255\/(-306)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)\/((l\/(l\/((l\/l**(-1\/10)*l*l)\/l*l)))\/l))\/(l**(-2\/3)\/l**(-2\/17)) assuming l is positive.\nAnswer: l**(-199\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1)*-1)**2 + sqrt(44)\/sqrt(400) + -3.\nAnswer: 21*sqrt(11)\/10 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (65\/6)\/5 + (-3)\/18. Let g be (s - -10)*(-105)\/4. Let b be 6\/16 - g\/120. Solve 4*l + 3 = b*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 40*w + 21. Let c(r) = -22*r - 12. Let x(s) = 7*c(s) + 4*z(s). Let g(v) = 2*v**2 - 196. Determine g(x(j)).\nAnswer: 72*j**2 - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 62 + -3 + (-26 - -35) + (8 - 6)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*j + 46*j + 1920 = 26*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.084 + -0.1. Let n = r + -1.984. Let u = 61 + -243\/4. Which is the third biggest value? (a) -0.4 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*z = 0, -4*z = 4*o + 12 + 12. Let v = 1 - 1.3. Let h = 20 - 21. What is the biggest value in h, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Let k(v) = -5*v - 12. Suppose m + 5*b = 0, 4*m = -3*b - 3 - 14. Let h(f) = 6*f + 10. Let x(s) = m*k(s) - 6*h(s). Give w(x(i)).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779205 is divided by 605?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -90.5 times 17\nAnswer: -1538.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15868 = -46*j + 15500 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(0*r**2 + r**3 + 0*r**2) + 14*r - 7*r**3 - 14*r.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, k: 3}. What is prob of sequence kll?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((910\/(-117))\/(-7))\/((-70)\/(-14))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10842 and 702?\nAnswer: 97578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 7*r**2 + r - 5. Let t be q(7). Let s be 17 + -2 + -1 + t. Let y = -6 + s. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5 + 16*j**4 - 53*j**3 + 62*j**2 - 24*j = 0. What is j?\nAnswer: 0, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -2.06218\nAnswer: 22.68398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 71*c**3 - 6*c**2 - 12*c + 58. Is v(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -15. Suppose n + 4*j + 2 = 2*n, -3*j = x. Suppose 0 = 3*t - k + 13 - 3, -4*k = n*t - 12. Sort -1, -9, t.\nAnswer: -9, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbb when three letters picked without replacement from {b: 4, d: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 9. Determine d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1782\/81081 - 813\/(-273). Factor 4\/3 + 17\/6*d - 5\/3*d**4 + 1\/3*d**2 - 8\/3*d**r - 1\/6*d**5.\nAnswer: -(d - 1)*(d + 1)**3*(d + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + d**2 - 3*d - 4. Give s(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.4 (c) 0 (d) 0.5 (e) -0.4 (f) 965\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*v**5 + 2241*v**4 - 73260*v**3 + 20748*v**2 = 0. Calculate v.\nAnswer: -133, 0, 2\/7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -10, 4, -3\/2, 2269, -4.\nAnswer: -10, -4, -3\/2, -0.2, 4, 2269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -167*g**4\/24 - 2*g**3\/3 + 13*g**2. Is r(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 11:39 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -421 + 424. Let s = -0.59 - -0.19. Sort z, -2\/3, s, 1\/6 in decreasing order.\nAnswer: z, 1\/6, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17780267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9175.51m to centimeters.\nAnswer: 917551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64786 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 345, -1 in increasing order.\nAnswer: -1, 0, 5, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 + 0.93. Let x = p - -2. Let t(z) = z**3 + 11*z**2. Let m be t(-11). Which is the nearest to m? (a) x (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -402976*d**2 - 3538231*d.\nAnswer: -805952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:45 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = h + 2, -9*h + 14*h - 47 = -4*d. Suppose 2*z - 20 = 5*l - h*l, -39 = -4*z - 3*l. Solve 0 = 12*t - z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 6922764?\nAnswer: 6922768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76316 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4219 + 4219.3542. Let n = x + -0.0542. Which is the second biggest value? (a) 4 (b) n (c) 3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 - 207. Suppose w = h - 4*h + s + 92, 0 = -2*s + 8. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -0*o - 5*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - 126. Let f = j + 142. Put f, -5, 8 in decreasing order.\nAnswer: 8, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + -5 - (sqrt(3) + 1)*5.\nAnswer: -10 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**27\/(r**(-2\/27)\/r)*r**(1\/4)\/r**34 assuming r is positive.\nAnswer: r**(-613\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p\/(p**(1\/5)*p))\/p))\/(((p\/p**(1\/5))\/p)\/p))**23 assuming p is positive.\nAnswer: p**(276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2477026 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8*-6339\nAnswer: 50712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/7 - 2*i - 60\/7 = 0. What is i?\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 866502 and 364?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 3\/7 (c) -3 (d) 0 (e) -0.3 (f) 19\/87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1362745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 34*v**4 + 4 - 32*v**4 - 3 to j*v**3 + q + i*v**2 + l*v**4 + y*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5903 + 3276. Let i = f - -15805\/6. Suppose -4*n - 4*l - 44 = -0*l, 5*n = 5*l - 5. Calculate the common denominator of n and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 5\/(-35)*-7. Let o(a) = 132*a**2 + 1. Let m be o(1). Suppose 2*l + l - m = k*g, -g + 31 = l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d. Let c be k(0). Suppose c = 4*q - 246 + 94. Suppose 0*v - q = -v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/11 + 4*f**3\/11 + 14*f**2\/11 + 8*f\/11.\nAnswer: -2*f*(f - 4)*(f + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 314 = -890. Let a = -52 - l. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/3)\/((-12)\/4). Suppose n = -j + 5*b + 7, -3*j + 3*b - 5*b + 89 = 0. Suppose u - j = -6. Calculate the remainder when 62 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = -21*j + 4. Let w be j + 0 + (1 + 11 - 6). Solve 0*m = 4*m - w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/40 - (-126)\/(-49)*7\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 845 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 = -10. Let x be (-33)\/(-7) + k\/7. Suppose -3*z = -5*v, 0 = -5*v - x*z + z + 35. Solve 3 = -v*g - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227b0 (base 15) to base 12\nAnswer: -53610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 14, 20, 26, 32, 38?\n\"Answer: 6*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*5\/(-10))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53\/40? (a) 0 (b) -61.7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 376\/1611 + -2\/179. Which is the third biggest value? (a) 0.1 (b) s (c) -2\/7 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 2\/901?\nAnswer: 2\/901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 9:57 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (546\/(-140))\/39*5\/(-4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - -37. Let d = g + -59. What is the third biggest value in d, 11, -4, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005894 to the power of 1\/2, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*c + 20*c + 1098 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let u(b) = 2*b - 3*b + 2 - b. Let d(l) = -l**3 - 11*l**2 - 29*l - 8. Let z be d(-7). What is z*u(a) + i(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (8 - 16)) + -20 - 18\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m**2. Let u be p(3). Suppose r + 1 = u, -r - 2*r - 4 = -z. Which is bigger: z or 1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 40 = 6*z. Let w(x) = 6*x - 2. Suppose -2*m + 0*m - 4*b + 26 = 0, -2*m - b = -11. What is the least common multiple of z and w(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y. Let g = -70 + 65. Let k(b) = -5 + 0 + 4*b**2 - 6*b + b. Let l(a) = 2*a**2 - 2*a - 2. Let j(i) = g*l(i) + 2*k(i). Determine c(j(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (2 + -2*sqrt(68) + sqrt(68))*-3 + ((1 + sqrt(68))*-4 - (sqrt(68) + sqrt(68)*1*-4)))**2.\nAnswer: -40*sqrt(17) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = q. Suppose x + q = 10. Calculate the smallest common multiple of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 36*d + 65. Let c be x(10). Sort 1, 0.3, c, -17 in decreasing order.\nAnswer: c, 1, 0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -264*f**5\/5 + f**4 + 8*f**2 + 2*f - 4. What is the third derivative of d(y) wrt y?\nAnswer: -6336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -121*q - 8. Determine b(-1).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1936*p = 38348 + 157188 for p.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22 - 34) + -34 - 43) + -13?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 1. Let l(z) = -5*z + 7. Give -4*c(j) - l(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 111698291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, -3, -7, 2 in decreasing order.\nAnswer: 2, -1, -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.3, -1606, 10, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6753 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: Calculate the greatest common factor of 28 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/5 - 19*n**4\/10 - 7*n**3\/10 + 23*n**2\/10 + 11*n\/10 - 2\/5 = 0.\nAnswer: -4, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -4, -319.\nAnswer: -319, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6041*x - 6138*x + 12179*x - 178*x**2.\nAnswer: -178*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + m**2 + 16*m - 14. Let x be s(9). Is x != -519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 120921*o\/5 - 241782\/5.\nAnswer: -3*(o - 2)*(5*o - 40297)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t - 105. Give w(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 0*a - 2*a)*(3 + 2 - 4 + a) as c*a**2 + i + q*a and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + f**2 + 8*f - 12. Let g = 133 - 130. Calculate the smallest common multiple of 60 and k(g).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 205\/38 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1988539 by 9.\nAnswer: 1988539\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or -0.369?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0646 * -0.2.\nAnswer: -0.01292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + z**2 + 7)*(5 - 5 + z + (3*z - 6*z + 4*z)*(2 - 3 - 24)).\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 12:14 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/23, 0.3, -54, -5, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from ccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = 3*z, 3*z = -4*a + 5. Let p(c) = -c**2 - 6*c + 5. Let k be p(z). Let i(y) = y - 11. Let t be i(k). Put -5, t, 5 in increasing order.\nAnswer: -5, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 12*v - 3. Let r(u) = 71719*u**2 - 5*u. What is n(r(c))?\nAnswer: 860628*c**2 - 60*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c)\/(c\/c**(-14))*(c**(3\/4))**(8\/3) assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + 5 + (-1 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1312978 * -11\nAnswer: -1.4442758","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -884\/11 - -2630\/33. What is the third biggest value in i, 0.3, 53, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2. Let u(n) = 4*n - 5. Let m(t) = -3*t + 4. Let o = -5 - -1. Let w(g) = o*u(g) - 5*m(g). Give w(f(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.16 - -0.04. Let j = s - 5. What is the third biggest value in -5, 0.3, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i = -4*i - 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266, -1055, -2372, -4217?\nAnswer: -6590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 919*n + 919*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340811370.\nAnswer: 2, 3, 5, 101, 37493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-12)\/(z**(-11)\/z)*z**1*(z*z\/(z\/(z**(-1\/5)\/z)))\/z assuming z is positive.\nAnswer: z**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35776 is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-5\/2)*(n\/(n*n**(-7))*n)\/n**(1\/2)*(n**(-11)\/n**(5\/7))**(2\/13) assuming n is positive.\nAnswer: n**(4603\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 4, h: 3, q: 3}. Give prob of sequence qhq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(325)*-1 + sqrt(325))**2 + 0 + 1 + sqrt(325) + 3*(sqrt(13) + -3*sqrt(13)) + -5 + sqrt(39)\/sqrt(3))*6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 435 = 8*l + 5*a, -3*a = -3. Suppose 0 = -3*d - 4*c + l, 0 = -19*d + 23*d - 3*c - 615. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211319 is divided by 6215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -889 - 140*q + 889 + 142*q. Let g(c) = 3923*c. What is g(i(r))?\nAnswer: 7846*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9144 and 161587688?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1619\/18 + 90. Let m = -1\/6 - w. Which is the third smallest value? (a) m (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -52*b + 99403200. Round b to the nearest ten thousand.\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtdtqvdqtdddtdqvt. Give prob of picking 1 d and 2 t.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 8*h. Let q be d(9). Let l = -5 + q. Suppose -l*v + 32 = -16. What is the remainder when v 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 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -103, -139, -199, -289, -415?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-74)\/(-12) + (-1449)\/1242. Solve 4*v = 2*h - 2, 2*h + l*v + 25 = -0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257220?\nAnswer: 2, 3, 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlhv when four letters picked without replacement from {h: 7, l: 2, v: 2, o: 2, s: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -1\/4 (c) 14 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 390845969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/16)\/((-1)\/(-6)). Let z be 0 + (6\/x - -3). Let o = 0 + z. Solve -2 = -c - o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1783, -7095, -15949, -28345?\nAnswer: -44283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -92 and -343268609.\nAnswer: -343268701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 44\/5 of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 9:28 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55801 by 5.\nAnswer: 55801\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.4 - 13.4. Sort 0.3, 296, k in ascending order.\nAnswer: 0.3, k, 296","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 2. Suppose -3*j - 16 = 4*u + 12, -j + 16 = -5*u. Let w be q(u). Suppose s - w = 3. Solve -2*a = -3*y + s, -2*y = -0*y - 2*a - 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 45 = -0*u. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*p - 19. Is -3 + 66 - 0\/p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2101338 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8290 and 2?\nAnswer: 8290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y + y + 3 - 4. Suppose 0 = -0*a - 2*a + 5*m - 1, -5*m = -5*a + 5. Suppose s = -a - 1. Let f(g) = -g. What is s*f(u) + 2*w(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28263479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:59 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -31*q + 5. Let a(w) = -94*w + 16. Let b(m) = -5*a(m) + 16*i(m). Let t(z) = 75*z - 331 - 130*z + 331 + 67*z. What is t(b(x))?\nAnswer: -312*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 - s. Suppose 2*o + 1 + 1 = 0. Let x be j(o). Let h = 8 + x. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -29. Suppose -24 = c - y*c. Find the common denominator of -1\/9 and c\/(-18) - 58\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/((-10)\/60). Solve -5*u = -4*o + 31, a*o + 6*u - u = 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/39 - (2\/(18\/21))\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2200401233 (base 5) to base 7\nAnswer: -54644121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3767634 and 27378?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -48 + 208. Calculate the remainder when 115 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*z - 3546510 = 253539 - 945775. What are the prime factors of z?\nAnswer: 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 - -91 - (-1 + -1 + (-4 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:08 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 418443669 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10010000000111001?\nAnswer: -10010000000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, 0.3, -20 in descending order.\nAnswer: 0.3, -20, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 732\/1973 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42429520333 + 66988518571. Let j = d - 24558998107.99999921. Let t = j + -130. What is t rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 782 - 782.5. Suppose 5*r = s - 20, 5*s - 6 + 16 = 3*r. Which is the second smallest value? (a) r (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -931 in -5, -3, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 1\/30*w**6 + 0*w - 17\/15*w**5 + 1 + 3*w**2 - 128\/3*w**3 + 40\/3*w**4. Suppose r(h) = 0. Calculate h.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -165. Let f = 40 + g. What are the prime factors of f?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.254987 + -415729\nAnswer: -415729.254987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1135 divided by -227.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -50*g. Let u be k(-6). Let p be u\/(3 + 901\/(-300)). What is p rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (390\/1820)\/((-3)\/(-140))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 59881692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(700)*-1 - sqrt(700)))**2 + 2.\nAnswer: -200*sqrt(7) + 2827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 4*s - 16, 5*n + s + 3 = 0. Sort -505, -3, n, -4 in increasing order.\nAnswer: -505, -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 6. Let u be a(4). Let r = u + 8. Does 10 divide (2 + -11)\/3*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 856*t**2 - 1 - 3*t**3 + 6*t**3 - 845*t**2 + 1.\nAnswer: 3*t**3 + 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 31 - 4. Suppose 2*d - 3*d = 5*f + 15, -4*d + l = -3*f. Suppose d = 3*b - 7*b + 16. Solve -p + b = -0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 1402 (c) 15 (d) -171\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21435\/((-22)\/(308\/(-42)))?\nAnswer: 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000307534 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwpoocpwpnqcpon. What is prob of picking 1 n and 1 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from oyyllwy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-162)\/(-36))\/(1\/(-2)). Let v(y) = 3*y + 5. Let c(w) = 6*w + 11. Let g(h) = m*v(h) + 4*c(h). Calculate g(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2060 - -2065. Which is the nearest to -0.2? (a) 1 (b) 3\/32 (c) -4\/7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15 - 2 + 58*w + 8 - 13. Let j be c(16). What is the tens digit of 3\/7 + j\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -639691 - -79.99132\nAnswer: -639611.00868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35, 41, 61, 101, 167, 265, 401?\n\"Answer: m**3 + m**2 - 4*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 144*w**2 + 1674*w + 3727. Calculate f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/20 and 79\/2120354.\nAnswer: 21203540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 + 4*z + 2*z)*((2 + 0 - 3)*(3 - 4 + 0) + 1 - 3 + 4)*(-1 + 2 + 1).\nAnswer: 36*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 1 = k + 2*b, -k - b - 9337 = -9340 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x**2 - 15*x - 3. Let r(z) = 7*z**2 + 8*z + 1. Let d(j) = 5*r(j) + 3*t(j). Let q(k) = 6*k**2 + 4*k + 3. Let c(p) = -5*d(p) - 6*q(p). Factor c(u).\nAnswer: -(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - -13 - 5*-1. Which is smaller: n or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1653, 1927, 2383, 3021, 3841, 4843, 6027?\nAnswer: 7393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2521 - -2?\nAnswer: -2517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 - 25*q**2 + 63*q - 33. What is the thousands digit of v(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12\/5 (b) 2\/9 (c) 7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(-1*sqrt(64)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 141919 + 141919 + 0*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 776\/73 <= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 7*b**2 + 4*b - 8. Let a be w(-6). Suppose -8*k = -a*k - 16. Suppose -18*o**k + 48\/5*o + 8\/5 + 82\/5*o**2 - 10*o**5 + 2\/5*o**3 = 0. Calculate o.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 107. Let r be o(-22). Solve t = -r*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**6\/120 - f**5\/12 + f**4\/24 + 5*f**3\/6 - 8*f**2. Calculate u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 133, 2\/3, 5\/6, -3\/8 in ascending order.\nAnswer: -20, -3\/8, 2\/3, 5\/6, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/21 - -5\/21. Let j = -57 + 53.9. Let p = -1.1 - j. Which is the third smallest value? (a) v (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 70760.\nAnswer: 353800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1340)\/(-2412) - 206\/(-18)) + -15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -10\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Let h(g) = -7*g + 10*g + 7*g + 11*g. Determine n(h(q)).\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.839003 decades?\nAnswer: 18.39003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128 + 67. Let j = n + 114. What is the remainder when j is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 3) + 5 + 15\/(-3). Solve 8 = -2*m, i - m = d*m + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.647 + -2.71. Let x = -0.063 - o. Let s be ((-2)\/26)\/(3\/6). Which is the smallest value? (a) s (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + 6. Suppose 7*o - 10 = 2*o. Let n be (-2)\/4*100\/o. Let m = -19 - n. Give h(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -72. Let o(i) = -i**2 + 5*i. Let a(m) = -m**2 + 2*m. Calculate p*a(s) + 2*o(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119831.000170502 + -119831. Round c to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011663 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*g + 12, 4*g + 9 = 2*v + 3*v. Let y = -4 + 13. Suppose -21 = -5*p + 4*i + y, 3*p + 5*i + 19 = 0. Solve v*u - p = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3)**(-1\/18)\/((x\/(x\/(x*x*x*(x*x**(-30)*x)\/x)))\/x**(4\/11)) assuming x is positive.\nAnswer: x**(1729\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 9)*(1 - 1 + i)*(-36 - 49 + 30).\nAnswer: -550*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-189))\/((-26)\/(-6))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112541065 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 4, 1\/19, 2\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 111\/(-9)*-3 + 2. Suppose 0*k - g - 9 = -2*k, 5*k + 3*g = l. Find the second derivative of -4*m - k*m**4 + m**4 + 6*m + 2*m wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-6 + sqrt(136)\/(-1*sqrt(8)))**2.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0042 + 0.2031. Let v = n - 0.2. What is v rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 18 = 2*z. Suppose z*b + i - 48 = -b, 4*b - 32 = -5*i. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/48 and -5\/74.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2 - 4. Which is greater: q or 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221222122 - -121?\nAnswer: -221222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386526984?\nAnswer: 2, 2309, 129197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5317 + -5316.7. Sort d, -2\/15, -10, -7 in descending order.\nAnswer: d, -2\/15, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/5)\/a**(2\/5))\/((a**(1\/3)*a)\/(a\/(a*a\/a**(1\/10)*a))) assuming a is positive.\nAnswer: a**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4265, 4269, 4293, 4349, 4449, 4605?\n\"Answer: 2*i**3 - 2*i**2 - 4*i + 4269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -6. Suppose -k*p + 56 = -4*f, -2*p - 70 = 5*f - 4*p. Is 1 - 15\/3 - f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 13141110103?\nAnswer: -13141110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 9 + 33)*(5*t - t - 3*t) + 4 - t - 4 - 2*t - t + t + (-1 - 2 + 4)*(-3 + 3 + t) + 2 - 2 - t - 1 + 1 - 2*t - 3*t + 3*t - 3*t to p*t + n and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8327, 9059, 10273, 11963, 14123, 16747, 19829?\nAnswer: 23363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 145\/8?\nAnswer: 145\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 10) in base 12?\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -261955, -262008, -262061, -262114, -262167?\n\"Answer: -53*s - 261902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -849*n**3 - 1621*n**2.\nAnswer: -5094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1049*l + 23. Let d(k) = -699*k - 15. Let i(j) = 8*d(j) + 5*s(j). Is i(-1) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8086102, 8086094, 8086084, 8086072?\n\"Answer: -j**2 - 5*j + 8086108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 22*z**2 - 6*z - 227. Calculate the remainder when y(-7) is divided by 239.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12746976 by 96.\nAnswer: 132781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -21880 less than or equal to -21862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m + 352. Let x be p(70). Put -15, 0, x, -4 in decreasing order.\nAnswer: x, 0, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -6) + (-10)\/3*33\/22.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7\/21)\/(8\/(-45)) and 79\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03690304463 rounded to 3 dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66312985 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**4\/4 + 4*c**3\/3 + 3*c**2\/2 + 12. Let b be k(-2). Suppose -4*y = 3*l + l - 892, -l + b*y = -217. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 25, 38, 55, 76?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 18*w**2 - 58*w + 44. Calculate the remainder when 20 is divided by r(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70096*j**6 + 12*j**2 - 49*j - 2?\nAnswer: 8411520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 4*l - 6. Let h(j) = j**2 - 2. Let f be h(2). Let i(o) = f*o**3 - 3*o**2 + 5 - 3*o**2 - 3*o + 6*o**2. Give -4*i(a) - 3*m(a).\nAnswer: a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103453 (base 6) to base 11.\nAnswer: 650a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120*i**5 - i**4 + 73*i**2 - 132*i - 214.\nAnswer: 2400*i**3 - 12*i**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -249\/2 - -123. Let w = 33 - 33.1. Let f = 2 - 2.4. Which is the closest to f? (a) 1\/5 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2200*o + 2240*o = 6576*o - 2188*o + 728 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 - 87. Find the second derivative of 12744*w**2 - 12828*w**2 + y*w - 1 + 2 wrt w.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 2 - -3) + 19 + -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 4, -1509, 159.\nAnswer: -1509, -2, 1, 4, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.4, -4, -9, -9.54?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -364, -419?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10200102200000 (base 3) to base 5.\nAnswer: -1000111442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1167780\/47 or -24845?\nAnswer: -24845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -21. Let l = 13 - w. Suppose -l*a = 3*u - 50, -5*u + 4 = -5*a + 14. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**(8\/5)*y)\/y)\/(y*y\/(((y**6\/y)\/y)\/y*y)) assuming y is positive.\nAnswer: y**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9506, -19042, -28576, -38108, -47638, -57166, -66692?\nAnswer: -76216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 68898 (base 10) to base 3\nAnswer: 10111111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 15*n**2 - 5*n - 5. Is z(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36491, 72977, 109459, 145937, 182411, 218881?\nAnswer: 255347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30993441?\nAnswer: 3, 10331147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 5 + 5)*(-2*u + 3*u + 3*u) - 4*u + 4*u + u)*(101 - 101 + 32*u).\nAnswer: -224*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from qqfdffqqtqqd?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146410194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {r: 3, d: 9}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/11019053?\nAnswer: 3\/11019053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 21*h + 1. Let m(v) = 64*v + 4. Let w(f) = -15*g(f) + 5*m(f). Let q(j) = j**2 + 16*j + 16. Calculate 2*q(y) - 7*w(y).\nAnswer: 2*y**2 - 3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*u**3*v + 12*u**3 - 2*u**2*v + 11*u**2 - 3339*u*v - 6*u wrt v?\nAnswer: 6*u**3 - 2*u**2 - 3339*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*q + 429 = -274*q. Is 28 a factor of (-52644)\/(-39) - (-22)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -27\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 102*h - 229. What are the prime factors of r(49)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11\/3 (b) 0.3 (c) -3\/52 (d) -3\/7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 3. Let r be m(0). Suppose f = -2*f - r*l + 2535, -f = 3*l - 853. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -412 or 0.2?\nAnswer: -412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54638 is divided by 1458.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*o - 4*u, 5*o - 2*u + 22 = -3*u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203562 by -7.\nAnswer: 203562\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -293, -479, -685, -905, -1133?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**4\/2 + u**3\/3 - 3*u**2\/2 + 2*u. Let t be g(2). Let j = t - 99\/4. Sort j, 4, -2\/13 in increasing order.\nAnswer: -2\/13, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*o + 212*o = -140 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttfi when four letters picked without replacement from {u: 6, i: 4, t: 4, f: 3}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1449)\/1932)\/(((-45)\/(-40))\/(-3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -4. Let p = 1 - i. Suppose 0 = q + 5, h - p*q = 485. What is h rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 13*g - 894. Let p be g\/(-21)*(114\/30 - 5). Solve 6*n - 2 = p*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579.5908 years in months?\nAnswer: 6955.0896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517972347 to the power of 1\/2, to the nearest integer?\nAnswer: 22759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 15*k - 21. Let x be c(5). Suppose -3*q + 3*a + 13428 = 0, q + 4461 = 2*q - x*a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10844 - 7696 + 2142 = -287*m + 5127 for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/3 (b) 0.5 (c) 4 (d) -2\/891 (e) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i - 4. Let g = -43 + 34. What is the tens digit of s(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**(3\/5))**(-2\/59) assuming p is positive.\nAnswer: p**(-36\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 plus 153498.5207348?\nAnswer: 153498.7507348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/(-550))\/((-1)\/(-11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48328905?\nAnswer: 3, 5, 1033, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 419801017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*p + 4. Let i(h) = h + 9. Let v be i(p). Solve -4*g - v*r - 20 = -8*g, 0 = g + 3*r + 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27141 rounded to three dps?\nAnswer: 0.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112685459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 243*w + 12629. Give i(-52).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11e1 - 9?\nAnswer: -11ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from xeppspssshshs?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f**3 + 2*f + 6. Let h(x) = 1 + 14*x**3 - 8*x**3 - 7*x**3 + x. Let d(t) = -2*h(t) + s(t). What is the first derivative of d(u) wrt u?\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/5)\/(g*g**(-1\/5)) assuming g is positive.\nAnswer: g**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 722 + -9379\/13. Let k = -55\/78 + l. Let i = -5 - -2. Which is the smallest value? (a) -5 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 10*l**3 - 41 + 42*l**3.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29891531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5951, 11747, 17543?\nAnswer: 23339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(152) + sqrt(152) - sqrt(152) - sqrt(152)))\/sqrt(8))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**2*f*n**2 + 2392*b**2*f*n + 63*b**2*n**2 - 2*b**2*n wrt n?\nAnswer: -22*b**2*f + 126*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*f + 6*f. Suppose -6 = -s - 5, 4*o = -f*s + 63. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6711, 6748, 6785, 6822, 6859, 6896?\n\"Answer: 37*c + 6674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -2 - 3\/(-1). Suppose 0 = -2*d + 5*y + 52, 2*y = 3*d - 0*y - 100. Suppose d = -c + g*c. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36603, 72957, 109311, 145665?\nAnswer: 182019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1 = 4*l - 0, -1 = -4*m + 3*l. Let i(b) = 5*b**3 - 1. Let t(a) = -a + 8. Calculate the least common multiple of t(6) and i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 - 84. Solve 5 = -3*n + k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 0.1, 63935?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o. Let b(m) = 924*m**2. Calculate b(l(n)).\nAnswer: 8316*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from lllmmmlmlllmbmlbmlp.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31637 - 31636. What is the second smallest value in i, -0.2, 2\/917, 5\/3?\nAnswer: 2\/917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 127\/35 - 15\/5. Let o = b - 3\/7. Determine s, given that 1\/5*s + 1\/5 - 1\/5*s**2 - o*s**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496 and 200000.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.2 + 8. Let n = 443.96 + -444. Put n, 3\/4, o in increasing order.\nAnswer: o, n, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = g - 9, -62959 + 62944 = 2*r + 5*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - 47. Let t = -1014 - -988. Let y = t - x. Solve 5*h + 2*u - 4 = -20, -y = 5*h - 4*u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-949069)\/68115 + (-1 - 28\/(-30)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (9 - 17) - (-18)\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309110 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6201 - -11?\nAnswer: -6160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/5*a**4 - 3\/5*a**3 - 24\/5*a**2 + 36\/5*a = 0. What is a?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.2, -48?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -2 (c) 267 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 16}. What is prob of picking 2 t?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 416*n. Let d(w) = 186939*w. What is d(i(v))?\nAnswer: 77766624*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -451508\/39 + 11574. Which is smaller: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 14 + 50*b + 43*b - 102*b. Let y(s) = s**2 - 6*s - 1. Let r be y(5). Calculate the remainder when v(r) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -50. Suppose -k + 434 = n*x + 2*k, 0 = 3*x - k - 319. Let l = x + 414. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*f + 7 + 3, -5*a + 18 = -f. Suppose 3*t - 21 = 4*z - 2*z, -a*z + 5*t = 47. Let o(i) = i**3 + 19*i**2 + 18*i + 14. Is o(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11743289.9 to the nearest 100000.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 x, and 1 k when four letters picked without replacement from {f: 1, x: 3, v: 3, k: 4, p: 6, g: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7273 >= -7340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 11) in base 3?\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:36 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 13 = 4*y, 3*y + 5*r - r = -9. What is the smallest common multiple of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -128, -301, -546, -863, -1252, -1713?\n\"Answer: -36*o**2 + 7*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 27810000 to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, -535, 0 in decreasing order.\nAnswer: 5, 4, 0, -1, -535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300 is divided by 402.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*k**2 - 3 - k**3 - 4*k**3 - 115*k**2 + 5 - k in the form y*k + i + d*k**2 + x*k**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*t + a, 0*t - 4*a + 11 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2.6, -0.3, 2\/9, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632*-14*(10 - (-495)\/(-44)).\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-35 - -16 - -10) - (2 + 84).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21127, 42246, 63365, 84484?\nAnswer: 105603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-8\/7))\/g*g**(2\/23))\/(g**(-1\/6)*g*g)**(-11\/3) assuming g is positive.\nAnswer: g**(16421\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4438 divided by 133\nAnswer: 634\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + -46 + 37\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*z**2 + 28*z**2 + 11*z**2.\nAnswer: -31*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-115)\/30 + (6 - (-111)\/(-18))). Let s(g) be the first derivative of -25 - 24\/5*g - 26\/5*g**2 - 1\/5*g**4 - 32\/15*g**v. Solve s(x) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + 5 + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from vehv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1373 = -w - 1358, 3*n + 58 = 5*w. Let u = 20 - 0. Solve -u = w*i - 6*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 18 = 4*m - 3*m, -3*m - 3*y = 0. Find the second derivative of -m*j - j - 3*j**4 + 4*j**4 wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -14*k. Let q(c) = -3*c**2 + c**2 + 2*c**2 - 5*c**2. Calculate s(q(b)).\nAnswer: 70*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 359.401+3\nAnswer: 362.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g = -8*g - 10*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -566132.46346+7.278\nAnswer: -566125.18546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/((-6642)\/1148)*-3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*g + 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q - 15*q - 75 + 123. Put 4, q, 206 in ascending order.\nAnswer: q, 4, 206","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2459 - 1) + (-140)\/20.\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100601 (base 7) to base 4.\nAnswer: -200321133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/((-264)\/2032))\/(4\/6). Let q = p + 109. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 1 + 6*c + 1\/2*c**2. Let u = -50 + 56. Let y(m) = -1. What is u*y(p) + d(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, f: 1}. Give prob of picking 2 r and 1 f.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41092.19 millennia to decades.\nAnswer: 4109219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -977*t**2 + 1956*t**2 - 976*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((2\/10)\/(-1)). Let x(j) = -2*j - 1. Give x(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {x: 17, r: 2}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 447 = a - 369, w = 5*a + 6. Calculate the remainder when 1625 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/42)\/((-108)\/252)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117\/4 + -9\/4. Calculate the common denominator of i and -83\/286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 127600 and 2464?\nAnswer: 1786400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57058 - 33730. What are the prime factors of 4\/22 - c\/(-198)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 122? (a) -3 (b) -1\/10 (c) -5.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 1 = 5*h. Let u be h\/1 + 0 + 0. Let y = -32 + u. Put y, -2, -3 in decreasing order.\nAnswer: -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 (base 5) in base 9?\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3037.803g to tonnes.\nAnswer: 0.003037803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, w: 5}. Give prob of picking 2 w.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30492 divided by 18.\nAnswer: -1694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/10 and -157\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Suppose o*s - 112 = -4*j, 2*j = j - 3*s + 28. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l**2 - 31*l + 31423 - 31422 - l - 4*l**2 in the form c*l**2 + b + q*l and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -1108064.\nAnswer: 1108063.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/40)\/((-1)\/10). Suppose -2*k = -u*k + 58. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.062 - 1.938. Let k = t - -1. What is the second smallest value in 4, 0.5, -1.19, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Let s(i) = i. Let y be s(p). Solve t - 4 = -y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1680)\/270 - (0 + (-21)\/(-27) + -1). Is -20\/33 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55459085 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-966)\/(-18) - (-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 25915?\nAnswer: 25915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 8*d**2 - 12*d - 11. Give f(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23a75 (base 12) to base 13\nAnswer: 18c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5007191\/579 - 8648. Let r = -5431\/15633 - w. What is the common denominator of r and 149\/36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d. Let y(m) be the first derivative of 10*m**3\/3 + 41. Calculate f(y(o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 times 0.3?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:45 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/12 - 1)\/((-2)\/(-6)). Let g(j) be the first derivative of -a*j**4 + 0*j**3 - 1 + j + 0*j**2. Differentiate g(k) wrt k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 4*v**2 - 4. Suppose -2*g - 2*q + 4 = 0, -5*q = -2*g - 3*g + 20. Determine l(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 3*b**8\/28 + 3*b**4\/4 + 39*b. Find the third derivative of d(a) wrt a.\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/563638931 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y - 20. Let r(w) = -11*w - 39. Give -9*a(d) + 4*r(d).\nAnswer: 19*d + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -7)*213\/852. Which is the closest to 1\/4? (a) k (b) 6 (c) -2\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2.9. Let w = -183.15 + 179. Let z = w - -0.15. Which is the closest to 0.1? (a) x (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18754*d - 424105 = 129514 - 1633687 - 1583000 for d.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - 99. Is ((-8813)\/q)\/((-4)\/12*1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 12927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 25 = -t, 2*y - 20*t + 9*t - 3*t - 149 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 955412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(6\/(-54)*6)\/(7\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -30) + (0 - 1 - 10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*c - 13, -c - 5 = y - 2*y. Let m(j) = 13*j**2 - 2*j + 1. Let u be m(1). Calculate the highest common factor of u and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 0*r + 0*r)*(-2 + 1 + 2) - 3*r + 1 - 1 + 0 + 0 - 3*r + r - 2*r + 2*r + (2 - 2*r - 2)*(1 - 2 + 0) + 11*r + 0*r - 3*r in the form h*r + u and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 148440727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + 0.06. Let s = r + 0.36. Put 1, 0.1, s in decreasing order.\nAnswer: 1, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20331 - 20331.4. Which is the closest to -0.1? (a) -11 (b) u (c) -6.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 8 = 7*y. Suppose 4*h = 3*h + y. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - 4*w**3 + 2*w**3 + (0*w + 3*w - 6*w)*(-6*w**2 + 3*w**2 - 2*w**2).\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 6*2*sqrt(363) + 3*(sqrt(363) + -1) + -4 + 2)*-1)**2.\nAnswer: -1980*sqrt(3) + 81711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*j - 15, -3*i + 5*j + 33 = i. Let o(z) = -4*z**2 + 3*z**i - 4*z + 2*z - 1 - 3*z. Let p be (-1 - (-20)\/12)\/(11\/(-33)). What is o(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -998520 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-5)\/x)*x*x*x**31*(((x*x*x\/(x\/((x\/x**1)\/x*x))*x)\/x*x)\/x)**(-1\/3) assuming x is positive.\nAnswer: x**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 945?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3\/2 + 25*z**2 - 171*z\/2 - 162 = 0.\nAnswer: -4\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*i = -8*q + 40, -2*q = -i - 11. What is the greatest common factor of q and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 3*n**2 + 2*n + 3. Let j be f(-2). What is the third derivative of 7*v**2 + 2*v**5 - 4*v**2 - j*v**5 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35407336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 43. Solve -16 = 5*i + t*b, -3*b + 4*b = -5*i - 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + -2111200111?\nAnswer: -2111200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000198 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(1\/11)*k)*k))**(-18) assuming k is positive.\nAnswer: k**(-18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-126)\/(-147))\/1.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (37 - -14) + -82.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**4 - 572650*v**3 + 53227620*v**2 - 1649758310*v + 17045963335 = 0. What is v?\nAnswer: 31, 114437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -23008.\nAnswer: 5\/11504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (261\/(-30))\/1*792\/17361. Let h = r - 2\/643. Sort -4\/3, h, 1\/4, -2.\nAnswer: -2, -4\/3, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (3 - -23) - 35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19831, -79758, -179639, -319474?\n\"Answer: -19977*h**2 + 4*h + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5626150\/549 - -10248. Let i = -284\/22509 - c. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -0.2. Let n = d + -0.1. Which is bigger: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0 (c) 1\/4 (d) -4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580 + 951 - 187 - 79*w - 184.\nAnswer: -79*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*24\/(-1408))\/(102\/136).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 26*z**2 - 2. Let k(f) = -26*f**2 + 3. Let m(y) = 1. Let i(x) = -k(x) + 2*m(x). Let p(t) = 5*i(t) - 6*v(t). What is the derivative of p(h) wrt h?\nAnswer: -52*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86591811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19643 divided by -1511\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 8:24 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003298082562 rounded to seven decimal places?\nAnswer: -0.0003298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 1825 = -6325. Find the common denominator of t\/24 + 0 - -3 and -69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10267 - 14*g**2 + 7*g**2 + 5136 + 5131 + 11*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/4986747 or -1?\nAnswer: -2\/4986747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 15, 1, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f + 16. Let n(k) = 18*k - 32. Let q(l) = 5*i(l) + 2*n(l). Let c be q(-9). What are the prime factors of 1 + c - (2 + (3 - 3))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*v**3 + 80*v**3 - 46*v**3.\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/8 - (-1 + 0). Let t be 3 - (-2 - r)\/((-8)\/4). Solve t - 1 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(3\/25) assuming o is positive.\nAnswer: o**(-3\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 12 - 11 - 10*x**3.\nAnswer: -10*x**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 20*s**2 - 134*s + 1. What is d(-10)?\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 + -129. Suppose 3*h + 110 = v*h + u, 2*h - 2*u = 98. Calculate the least common multiple of h and 5.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. Let l(w) = 119*w**b - 57*w**2 - 63*w**2. Let v(q) = 12*q**2 + 2*q + 30*q**2 + 0*q. Calculate v(l(h)).\nAnswer: 42*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/19)\/(v\/v**(1\/12)))\/((v*v*(v\/(v**(-2\/19)*v)*v)\/v)\/v**(-17)) assuming v is positive.\nAnswer: v**(-4553\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12880 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/644?\nAnswer: 5\/644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 3*k + 2. Let f be l(-6). Suppose -1 - f = -3*p. Let q = -141.5 - -141.5. Which is greater: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.01 (c) -4156.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -3*o. Let y = 3 + -1. Suppose -y*t + 5*j + 20 = 0, 4*j = 5*t - o*j - 67. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 17*c. Let x(d) = -7*d - 4. Let f(s) = -5*s - 3. Suppose -h - m - 1 = 0, -10*m + 7*m = -3*h + 21. Let j(w) = h*x(w) - 4*f(w). Determine j(t(o)).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 174 + -93. What is the first derivative of 4 - 43 - 39*g + 37 + c wrt g?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80194.34l in millilitres?\nAnswer: 80194340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + k + 0*k)*(-3 - 3 + 4) - 2 + 13*k + 16*k - 23*k in the form t*k + u and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/12*(108\/21)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -791382 - -40?\nAnswer: -791342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 + 3*w + 3. Let p(g) = 14*g**2 + 10*g + 9. Let r(m) = -11*l(m) + 4*p(m). Is 9 a factor of r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -614 + 646. Let c = -95 - -56. Let h = z + c. Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22610331 (base 9) to base 6\nAnswer: -1031315214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/z*z)**1 assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 6*g + 5. Let v be d(6). Suppose 3*r - 5*r = -10. Suppose -j = 5*c - 47, 2*c - r - v = 4*j. What is the greatest common divisor of 99 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w - 18. Give o(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2622723 is divided by 2622722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 20*o - 28. Calculate the lowest common multiple of 708 and r(22).\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 10965.\nAnswer: 4386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1039012435381\/583365930 + 583943\/132734. Let f = o + 5330\/3. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a minute in seconds?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntwtttstssa. Give prob of picking 1 w and 1 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 8*s + 5. Let x be l(-6). Let z be 1*5*(x + 5). Let c = 2 - z. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(2448) - (sqrt(2448) - (-2 + sqrt(2448)))) + -4 - sqrt(2448)) + -5).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -233\/4*j**4 + 0*j**2 - 275\/3*j**3 - 264 + 0*j. What is the third derivative of z(h) wrt h?\nAnswer: -1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109165\/22 + -4961. Calculate the common denominator of f and -6 - 1*(-105)\/36.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + 17. Let s = 7 - 4. Solve s*d + n = -5*z, d + 4 = -z - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -18*c**3 + 1. Suppose -4*g + 4*a - 3 - 1 = 0, 5*g = 2*a + 1. Determine h(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/((-64)\/11))\/(1*9\/(-36))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31451 from -1.\nAnswer: -31452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k + 20 = 36*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -444 + 453. Let s be -1 + (6 - 9) + k. Calculate the greatest common factor of s and 415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35216455 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -250257531*g**2 + 139661156*g.\nAnswer: -500515062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.58 + 1.58. Which is the fourth biggest value? (a) 13 (b) 0 (c) v (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002000482979 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115 plus 47?\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -564 + 433. Let j = 194 + p. Solve -10*o + 13 - j = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (33 - 27) + -4 + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20420 or -19943?\nAnswer: -19943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 0, -79 + 415 = 4*q + 4*z. Calculate the highest common factor of q and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*x - 80. Suppose x*o = 25*o - 10. Solve 3*d + 21 = 3*y, y - 16 = 6*d - o*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*(-2)\/(-6))\/(-2). Let p be 14\/(-21)*(27\/216)\/((-5)\/(-12)). What is the second smallest value in 1, t, -4\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/7, -14.1, -1, -9, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110101110111100110 (base 2) to base 11.\nAnswer: -797649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f. Let k be j(3). Let u be k - (-1 + 1 - 0). Suppose -r - 68 = -u*r. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5 + 37*v - 3 - 3. Suppose -3 = -3*t, -8*a + 4*t - 9 = -13*a. Let c be b(a). What is the greatest common factor of c and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 11*f + 1. Let m be l(-8). Let o be 1*(-3 - m\/12). Put 0.4, -4, o in decreasing order.\nAnswer: 0.4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5530?\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -16)*(-258)\/(-215). Are 20 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 684567.7 litres?\nAnswer: 684567700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/5*w + 0 + 2\/5*w**3 - 8\/5*w**2 = 0. Calculate w.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -18, -53, -132, -273, -494, -813, -1248?\nAnswer: -1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-1 - (11 + -30). Suppose -5*a = -3*n - b, 0 = 5*a + 2*n - 0*n + 3. Let p be 2\/(-6)*2\/3. Is a < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -9*s**5\/20 + 7*s**3 + 25*s. What is the second derivative of w(a) wrt a?\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/11, -4, -1\/7, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-406)\/6)\/(167\/(-501)). Calculate the highest common factor of 35 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 102 + 238 = -2. Suppose 2*k - 55 - 227 = -4*b, 3*k = 2*b - 161. Calculate the remainder when b is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 3. Let y be g(-5). Suppose 3*i - 5*i + y = 0. Suppose -3*t + 5 = -10. Is t < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2. Let b(x) = 1 + 0*x + 4*x - 1. Give d(b(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -7\/2*g**2 + g - 1\/12*g**4 + 4\/3*g**3 + 0. Let h be (-11)\/(-22) - (-22)\/4. Calculate y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.017 + 0.038. Let r = i + -0.055. Sort r, -1\/5, 5, 0.7 in increasing order.\nAnswer: -1\/5, r, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16647274219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 10066?\nAnswer: 10066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 12. Solve u + b*v - 10 - 2 = 0, 8 = u + v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5145\/11 - -36037\/77. Solve -u*s**2 - 8\/7 - 8\/7*s = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5193*p**3 + 4283 + 4277 - 2*p - 8560.\nAnswer: -5193*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151857, -302225, -452595, -602967?\nAnswer: -753341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 188*h + 148 - 92*h - 98*h to the form a + p*h and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:22 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 10) in base 14?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42.5 - -42. Suppose 10 + 5 = -4*s + 3*z, s + 4*z = 20. Which is the second biggest value? (a) -4 (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -21*v + 842. Is 2 a factor of u(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 10*o + 7953 - 7953 - 66*o in the form n*o + z and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2489, -13, -111 in decreasing order.\nAnswer: 2489, -13, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 3*g - 18. Suppose g = 2*l - 8. Let i(f) = -l*f + 4*f + f. Let v(q) = 2*q**2. Determine i(v(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - -131. Suppose 11*b = i + 632. Calculate the remainder when b is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49\/24 + -15\/8. Let u be (((-2000)\/(-32))\/25)\/((-99)\/3). Let g = y + u. Do 4 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 40.2669 and 2339199.76?\nAnswer: 2339159.4931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 22*z**2 - 5*z - 64. What are the prime factors of g(-23)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166690 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**2. Let j(f) = -3*f**2 - 2*f - 2. Let m(b) = 7*b**2 + 5*b + 5. Let y(o) = 10*j(o) + 4*m(o). Calculate y(w(q)).\nAnswer: -50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -56361 + 25*a + 56361. Let z(r) = -5*r**2. Determine z(j(d)).\nAnswer: -3125*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 29*k + 23*k = 855420. What are the prime factors of k?\nAnswer: 2, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 884626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 7*o**2 - 10*o + 2. Let p be r(5). Suppose -5*y - 4*h = -3739247 - 3260757, -p*y + 2*h + 2799998 = 0. Round y to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/16742 and 59\/16742.\nAnswer: 16742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1751 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186761606 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2013\/(-14152))\/(-2*22\/16)\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 54. Suppose -q = -f*v + v + 6, -3*v + 2*q + 16 = 0. Suppose 668 = 3*u - h - 562, 1621 = v*u + 5*h. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*f - 7, 21*f = -b + 24197 - 24108 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31505 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 656*o**3 - o**2 - 459*o**3 - 909*o**3 - 858*o**3 in the form a*o**2 + g + q*o**3 + r*o and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-1))\/((-36)\/(-38)))\/((-854)\/7686)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 68. Let l = 34 - w. Let a(g) = 3*g**2 + 10*g - 15. Let h be a(6). Calculate the greatest common factor of l and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34666426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 5, -17\/2, -199.19, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z)**(-8\/13)\/((z\/(z**(-3\/4)\/z))\/(z\/(z\/(z\/(z*z*z**3)))))*(z**(-1)\/z)**(3\/5)*(z**1)**(-1) assuming z is positive.\nAnswer: z**(-2647\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/9 (b) -19281 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15120118 minus -510892?\nAnswer: -14609226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Suppose 0*b - d*b = 0. Solve -5*q + 10 + 5 = b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, 56, 57, -16, -205, -552, -1099?\n\"Answer: -7*t**3 + 26*t**2 + 4*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5 = -9*r. Let m(d) = d**3 - d - 3*d + 13*d**2 + r + 3*d - 3*d. List the prime factors of m(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 25*z**2 - 22*z + 16. Let y(n) = n**3 + 7*n**2 + 3*n - 5. Let x be y(-4). Let u = -21 + x. What is the lowest common multiple of u and v(24)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(243) - (sqrt(243) + sqrt(243)*3)) - (0 + 3 + sqrt(243))) + (sqrt(243) + 1*sqrt(243) + sqrt(243) + 4 - (4 + sqrt(243)*1)))**2.\nAnswer: -864*sqrt(3) + 62217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1\/6, 1645, -5, -270\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**7\/5040 + s**6\/144 - 7*s**5\/60 + 3*s**2. Let a(f) be the third derivative of g(f). Calculate a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14 - 618\/(-42). Suppose 270 = 3*p + f. Calculate the remainder when p is divided by 44 + -3*(-1)\/3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15788751*o. Let l(w) = 2125*w. Calculate -44583*l(a) + 6*y(a).\nAnswer: -6369*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 2.23?\nAnswer: -7.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -4*h - 224. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32817 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-30)*i**(-24))\/((i*i**(-7\/6))\/i**(-7)) assuming i is positive.\nAnswer: i**(-365\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/65*(-5)\/2. Let p = 8254.5 + -8247.5. Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2371, 2769, 3167?\n\"Answer: 398*q + 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13413 - -2122?\nAnswer: 15535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o + 2*j + 8, 7 = 4*o - j. Suppose -2*a + z + z + 362 = 0, -3*z = -o*a + 359. Let c = -101 + a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Let t(d) = 32*d - 32*d - 2*d**m. Let u(o) be the first derivative of 3*o**3 - 6. What is t(u(q))?\nAnswer: -162*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:52 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*r**2 + 171*r**2 - 2 - 117*r**2 + 1 + 3.\nAnswer: -20*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 11*x**2 - 8*x - 12. Let c be g(10). Is ((-156)\/8)\/((-6)\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 58*c**2 - 12*c - 125. Is y(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/4)\/k*k)\/(k**(-1\/4)\/k*k*k))**(-2\/59) assuming k is positive.\nAnswer: k**(3\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003900753 plus 0?\nAnswer: 2003900753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48582*c**4 + 93937*c wrt c.\nAnswer: 582984*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 12. What is the second derivative of p - p - 11*p + x*p**2 wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 111 - 102 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 5, -1\/2, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 33*x**4\/7 - 6036*x**3\/7 - 1074336*x**2\/7 + 30250032*x - 391234032 = 0.\nAnswer: -2058\/11, 14, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 48\/97?\nAnswer: 48\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {d: 11, z: 2}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21776 or -2860\/3?\nAnswer: -2860\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -250 + 251. Let y(f) = 19*f**3 - 2*f**2 + 5*f - 4. Calculate the least common multiple of 82 and y(s).\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8773 + 0.1227. What is the nearest to 72 in -1\/4, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -143, -63, 49, 193, 369, 577?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -26 (b) 4 (c) 6 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10295091, 10295080, 10295047, 10294980, 10294867?\nAnswer: 10294696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8. Suppose -2*z + 0*z = -f*z. Suppose z = 3*s - 19 + 4. What is the greatest common divisor of s and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7306 - 66463005.\nAnswer: -66463005.7306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 3\/(-1) - -6. Let q = i + 26. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 12 - 4)*(0*u - u + 3*u)*(19 + 42 - 82).\nAnswer: 84*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-12 - 2) - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5113, 14899, 24685, 34471, 44257, 54043?\n\"Answer: 9786*n - 4673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/18)\/(-1*(-3)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 7*p**2 + 7*p - 7. Calculate the least common multiple of w(-8) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336128 is divided by 167925?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 990689 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/19)\/w**(-1))\/(w*(w*w**(-1\/5))\/w)**(-1\/14))**(-21) assuming w is positive.\nAnswer: w**(-1899\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 0*s + 0*s)*(0 + 0 - s)*(2965 - 2965 + 2258*s) as c*s + i + l*s**3 + v*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526 >= -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4464 and 5301.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-120)\/12)\/(-70))\/(3\/292593)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*l + 120 + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1836)\/(-66) - 28) + 20022\/11. What is the highest common factor of 56 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 12, -108*n - 4*d + 12 = -110*n - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1523.637 months to decades.\nAnswer: 12.696975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -578*a**2*i**3*t - 7*a**2*i**3 + 7*a*i**3*t - 2*a*i**3 + 10*a*i**2*t + 11*i**3*t + 5*i**2 wrt a?\nAnswer: -1156*i**3*t - 14*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 11*d**2 - 3*d - 29. Let v be c(-11). What is the second smallest value in 0.2, -184, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 2\/31 (c) 1 (d) -4 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 30?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:24 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/360*25)\/(10\/66).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - i = -55, -2*i - 10 = -l - 61. Let q = 63 + l. Is (112\/q)\/((-6)\/(-15)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 5*x + 8. Let i(q) = -q**2 + 9*q + 6. Let r be i(9). Does 10 divide o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*d**4\/7 - 9636*d**3\/7 + 22599*d**2\/7 - 1458*d + 1296\/7 = 0. What is d?\nAnswer: 3\/11, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t + 19*t - 360. Suppose 20*q - 25*q + t = 0. Let j be 10\/(-3)*-1*q\/5. Calculate the greatest common divisor of 24 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1835 - 1853.1. Which is smaller: h or -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 329*h**2 - 1151*h + 954. Give u(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 4, 13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3471 - 1573. Let x = -920 + a. List the prime factors of x.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 15) in base 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 1 = 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22505 (base 7) in base 3?\nAnswer: 21212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254668?\nAnswer: 2, 63667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:12 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**6\/2 + 3*z**4\/4 + 1. Factor f(o).\nAnswer: -3*o**3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 25*s**2 + 4*s + 38. Let l be t(-12). Suppose l = 5*c - 0*i - 4*i, 4*c - 3*i = 2872. What are the prime factors of c?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9667964 is divided by 883.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 92) + 0 - ((-12 - -1) + 40 + -15)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:36 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 539993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vducz. What is prob of sequence dv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5559 - -0.0569. Let i = 0.199 + m. What is the second smallest value in i, 3, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*y + 5*m + 10 = -209*y, -4*m = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*f = 70*f. Let y(k) be the second derivative of -5\/2*k**2 + f - 10*k + 0*k**3 + 0*k**4 + 1\/2*k**5. Differentiate y(b) with respect to b.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 18065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 38*d**2 - 66*d + 38. Determine p(17).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5188937282?\nAnswer: 2, 2594468641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 9*y**2 + 10*y - 3. Let u(g) = -g**2 - g + 1. Let b(t) = 15*u(t) + 3*w(t). Suppose b(r) = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000057515106 rounded to 7 dps?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**4*o + 128*b**4 + 293*b*o wrt b.\nAnswer: -12*b**2*o + 1536*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5449 = -2*a - 5423, -158 = 12*x - 5*a - 35 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/9 - 4*g**2\/3 + 14*g\/9.\nAnswer: -2*g*(g - 1)*(g + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2213478 or 2213645?\nAnswer: 2213478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8544 and 7832.\nAnswer: 93984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*5\/(-50)*-10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -36*n**2 - 16*n + 4. Let h(w) = -11*w**2 - 5*w + 1. Let m(s) = 16*h(s) - 5*o(s). Let y(b) = -1. Calculate -m(q) + 3*y(q).\nAnswer: -4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2. Let a(l) = -11*l**2 + 5. Let g(f) = -12*f**2 + 6. Let x(c) = 6*a(c) - 5*g(c). What is x(w(v))?\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 111113 (base 5) to base 11\nAnswer: 2a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-1\/8)*(o*o**(-1\/8)*o)\/o*(o**1)**(-5\/2) assuming o is positive.\nAnswer: 1\/sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*z + g, -3*g + 14 = -z + 40. Solve -14*x - 3 = -z*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*4\/(-8))\/(2\/20). Let z be -4 + ((-4)\/(-2) - 0). List the prime factors of 4*1\/z*f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34504*a + 3*a**3 + 17251*a + 17253*a + 105 - 14 to the form u*a**2 + x*a**3 + o + q*a and give o.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:28 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1092 and 92820.\nAnswer: 92820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 56. Calculate the greatest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 926 - 361. Let m = w - 801. Let x = m - -235.893. Round x to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(-4*sqrt(9)\/sqrt(3) + 1 + sqrt(3) + -2 + -4))**2.\nAnswer: 1080*sqrt(3) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a + 2*c = -4, 5*c = -5*a - 10. Solve 4*m + 11 - 31 = a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.24453 millilitres in litres?\nAnswer: 0.04824453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*3\/(9\/12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let z = 16 - 10. Suppose 5*v = 2*v - z. Sort n, v, -3.\nAnswer: -3, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 29508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -16*o + 58. What is the lowest common multiple of 78 and o?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l - 4 = -4*p, -4*l = 5*p - 1. Is (-8)\/(-12) - 3241\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1302610 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(0 + 3 - 4)*(-5 + 5 - 2*u)*(5*u - 3*u + 0*u)*(6 + 7 + 4).\nAnswer: -68*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -88. Let n = a - -16. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k. Suppose 13*x + 3452 = 3491. Let b(n) = -6*n. Calculate x*u(g) + b(g).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (5 - (10 + -5)) + -7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*14)\/((-8)\/(-28)). Suppose 11 - j = -2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 606084?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4193)\/1797*(-18)\/10.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(288))*3*-1)**2 + (sqrt(1134) - (sqrt(1134) - sqrt(1134)*1))\/(sqrt(70)\/(sqrt(30)\/sqrt(3))).\nAnswer: 441*sqrt(2) + 2628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 8*g**2 - 24*g + 67. Let b be q(6). Let y(n) = n**3 + 7*n**2 + 9*n - 1. What is y(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1752 - -10?\nAnswer: -1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*l + 4 + 22, c - 33 = 3*l. Suppose c = q - 4*k - 2, 0 = 4*q + 5*k + 4. What is the first derivative of -4 + 2 + 3*f**4 - 4*f**q wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -3*f**4\/4 + f + 2. Differentiate i(k) with respect to k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 - 2.6. Let x = 5 + f. Let l = x - 0.1. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2157 = -w - 4*w + 2056, 16*w + 112 = 4*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -1\/8*k**4 + 0*k**3 - 5*k + 7\/2*k**2 + 0. Let n(w) be the first derivative of l(w). Let a(c) = -2*c**2. Determine a(n(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 24) + 601 + -594.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504 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 (-2144626)\/(-330) + 2\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, j: 2, m: 2, c: 4}. Give prob of picking 1 j and 2 m.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 - 3*v**5 + 5*v**5 + (v**5 + v**5 - v**5)*(1 - 3 + 1) - 3*v**5 + 8*v**3 + 0*v**5 + 2 - 5*v**3.\nAnswer: -2*v**5 + 3*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -59.\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357104.\nAnswer: 2, 11, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 - (-1 - -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**8\/336 + 3*t**7\/56 + t**6\/3 + 2*t**5\/3 + 11*t**3 + 5. Let d(c) be the third derivative of o(c). Factor d(b).\nAnswer: 5*b*(b + 1)*(b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 9*c = 760. Suppose -3*j + 8*j - 4*h = c, -j = -3*h - 19. Solve 0 = -7*b + j - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13243 or 13244?\nAnswer: 13244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 - 378 = -3*d. Calculate the least common multiple of 102 and d.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**4 + 19*q**3 + 61*q**2 + 67*q + 27. Let j(i) = -15*i**4 - 96*i**3 - 306*i**2 - 336*i - 135. Let p(v) = -5*j(v) - 24*w(v). Factor p(b).\nAnswer: 3*(b + 1)**2*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1063*g**4 - 306*g.\nAnswer: -12756*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*q**2 - 8*q + 8*q.\nAnswer: 103*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(750)*1)\/(sqrt(6)*-3*5).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10309.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*d - 350, f + 3*d + 246 = 3*f. What is the highest common factor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/7 - 32*n**2\/7 - 244*n\/7 - 208\/7.\nAnswer: 4*(n - 13)*(n + 1)*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 22 = 2. Let z = -2.82 + 0.82. What is the second smallest value in 4\/9, -1\/4, z, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1.6 (c) -2\/5 (d) -2964 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + o - 2 = 0, 1182*j - 8 = 1180*j - 4*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 5*z, -z + 0 + 3 = 0. Suppose 1 = -3*c + 5*h, -5*c - 4*h = -39 + o. Solve 4*v = -5*m, 1 = -c*m - 3*v + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5 + (-1 - 3 + 1)*(-4 - 12 - 9))*((-1 + 2 + 1)*(v + 0*v + 0*v) + v + 2 - 2 + 0 + 0 - v + 3*v + 0*v - 4*v - 2 - 2*v + 2).\nAnswer: -76*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 17 - 22 = 3*y + 30, 35*y - a = -805 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66818957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-3)\/(-3)*(-1)\/(51 + 6).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -32\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (132\/(-144))\/((-172)\/(-16)). Let o = 967377029\/903 + -1071292. Let g = v - o. Sort 2\/21, g, 0.3 in descending order.\nAnswer: 0.3, 2\/21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.016212 + 0.016212. Let y = -0.15 - -1.55. Put 3, y, u in decreasing order.\nAnswer: 3, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**30*b)\/(b\/b**19))\/(b**7)**25 assuming b is positive.\nAnswer: b**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 10:13 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -11112102101211101?\nAnswer: -11112102101211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c + 16 - 91. Suppose h - 103 = 5*i, c*h + 255 - 770 = i. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*((3 - 1 - 3)*(-2*c + 0 + 0) + 2*c + 6*c + 2*c)*(1 + 2 - 1).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - 2*z**3 + 2*z**3 + (-2 + 2 + z)*(4*z**2 - z**2 - 4*z**2) + (-15*z**2 - 32 + 32)*(-59 - 15*z + 59).\nAnswer: 222*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(21\/12 - 2). Which is the closest to 0.3? (a) q (b) 0 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54\/(-15))\/((-4)\/10). Let b be o*(-1)\/6*2. Let j = -2 - b. Is 1\/7 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2. Let k(d) = -9158*d + 9158*d + 11*d**2. Give k(z(y)).\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/16 and 13\/5722804.\nAnswer: 22891216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 2. Let r = -27 - -30. Suppose k + 0*v - 10 = r*v, 2 = 2*k + 3*v. Let p(s) = -4 + 1 + k. Calculate 3*p(j) - 2*z(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -503 - -355. Let z = p + 429. What are the prime factors of z?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289224 by 3708.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 2. Let o be v(5). Suppose -o*m = 2*m. Suppose -a + 11 = -m*a. Calculate the remainder when 30 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(1 + (-1)\/(-4) - 1). Solve 0*l + 6 = -3*u - 2*l, -8 = d*u - 5*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, 27, 47, 65, 81, 95, 107?\n\"Answer: -n**2 + 25*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20792344*y**2 - 39088894*y.\nAnswer: -41584688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -432187*w - 3. Let f(b) = -3*b. Calculate f(o(u)).\nAnswer: 1296561*u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 291.99999958 - 292. Round b to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -17. Solve -6*j = -3*j - a*q - 12, -2*q = -5*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450451137.\nAnswer: 41, 35376857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-2)\/1 + 0. Let n be ((-170)\/50 + (-12)\/20)*-2. Suppose 0 = x - u - n. What is the remainder when 47 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -4, 2, -3.9, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61? (a) -10 (b) 4 (c) -2\/11 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-186)\/(67 - 64))\/2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 6, c: 1, o: 3, n: 1}. Give prob of sequence gn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/168)\/(100\/280).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-157780)\/(-3220))\/(14\/8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 188712, 189027, 189342, 189657, 189972, 190287?\n\"Answer: 315*z + 188397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 725 = -4*k + b, -5*b + 167 = k. Suppose 26*w - k = 19*w. Suppose -5*h = -0*h - 5. Put w, h, -4 in descending order.\nAnswer: w, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 1 - 1\/4*q**4 - 2*q**3 + 8*q + 7\/2*q**2. List the prime factors of u(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 421\/9. Let y = 89\/324 - 2\/81. Is m less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frctnft. Give prob of picking 1 r, 1 f, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567 + 349 = 104*j - 644 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1247*i - 148389. Determine c(-119).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -63. Solve 5*s - x = -26 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*c**5 - 57*c**4 + 2 + 3*c**5 + 60*c**3 - 13 + 11 = 0. What is c?\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 875427 - 270427. What is l rounded to the nearest 10000?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + 5*sqrt(119)*1 + 4*sqrt(119)*-1)*3)\/(4*(sqrt(567)*-2 + sqrt(567))*4).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 30. Let s(u) = 3*u - 2*u**2 - m*u - u**3 + 3 + 9*u + 4*u**2. Let f be s(4). Is 7 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-5) - (-6)\/(-2). Let f(k) = -17*k**3 + 3*k**2 + 3*k - 7. Let l(r) = 9*r**3 - 2*r**2 - 2*r + 4. Let v(i) = -3*f(i) - 5*l(i). What is v(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**2 + a + 3. Calculate g(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 l when three letters picked without replacement from uvnlgol?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2008.2219 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -19. Let n(m) = -7*m - 33. What is the lowest common multiple of 116 and n(t)?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 5. Suppose 4*n + 17 = 3*b, -8*b + 3*b = n - 13. Suppose -4*f = -j - 6, f - 6 - b = 4*j. Let z(d) = 3*d - 4. Determine j*o(x) - 3*z(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6098.234 minutes?\nAnswer: 365894040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 72*l - 71. Let m(g) = -g**2 - 24*g + 24. Let p(a) = 8*m(a) + 3*w(a). Let i be p(11). Solve 4*f = -i - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3351861 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1921537?\nAnswer: 1921537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1) + (11 - (-473)\/(-88)) + -11\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -3*q**2\/2 - 28*q - 24. Let d be p(-9). Is 4\/(-18) - (44468\/(-36) - d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 4*j - 56, -455*s - 20 = -j - 451*s for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, f: 3, z: 1, p: 1, k: 1}. What is prob of picking 2 f and 1 d?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -224517*g*h**3 + 2*g - 575417*h**3 - 5*h**2 wrt g?\nAnswer: -224517*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/n**(2\/3))**(-31)*((n\/n**(-1\/4))\/n**16)**(-1\/5) assuming n is positive.\nAnswer: n**(13639\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {a: 3, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*o + 742, -o - 3*i + 191 = -8*i. Let z(m) = -m**3 - 11*m**2 - 20*m - 1. What is the remainder when o is divided by z(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 24*f + 11. Let s(d) = d**3 + 9*d**2 - 11*d - 16. What is the remainder when s(-5) is divided by i(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -2\/5, 0.4, 3.3, -2, 0.2 in descending order.\nAnswer: 3.3, 0.4, 0.2, -2\/13, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*u, 11*y = 16*y + u - 83. Calculate the greatest common factor of 232 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/6*1)\/(1\/(-2895))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2058*s**2 + 1 - 903*s**2 - 376*s - 971*s**2 - 1 + 2*s**3.\nAnswer: 2*s*(s - 2)*(s + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a + 3*a + 3*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 389\/6 + -62. Suppose q = 5*q. Let g be 0 - q - (-17 + 14). Are g and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 54. Which is the third smallest value? (a) -2\/9 (b) 1\/6 (c) -0.2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -2*y**6\/5 + 622*y**5\/5 - 14352*y**4 + 666540*y**3 - 657018*y**2 + 17*y + 14. Factor j(d).\nAnswer: -4*(d - 69)**3*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148150921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 2, -1015, -81.\nAnswer: -1015, -81, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12205153 and -0.4?\nAnswer: 12205152.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 6*v - 8. Let i be 101\/17 + (-47)\/(-799). Does v = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2724, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (189\/(-243) + 2\/(-9))*-4. Is -23 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + (-11)\/(-2). Is d\/(-8)*(1 - 37) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 - 39 = 13*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -464 + 687. Let n = f - 123. Let c = n - 70. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p - 1. Let s(x) = -4*x**3 - 30*x**2 + 14*x - 12. Let m be s(-8). Let d(v) = -v**2 - 7*v - 4. Let r be d(-6). Suppose r*y + 0*y = m. Determine h(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 - 3*n**2 - 17*n - 7. Let i(o) = 14*o - 12*o + 3*o**3 - 3 - 9*o - 2*o**2 - 1 - 2*o. Determine -4*c(k) + 7*i(k).\nAnswer: k**3 - 2*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = 4*s. Let w = s - -1. Let u be 1 - (-5)\/(15\/(-2)). What is the closest to -2 in w, 4, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/2911635 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 784 and 256.\nAnswer: 12544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 95, 453?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.914 + -0.784. Let w = d + -14.83. Let h = 6 + -3. Sort -1\/2, h, w in decreasing order.\nAnswer: h, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -398*g**2 + 10*g + 4. Let d(k) = 397*k**2 - 11*k - 2. Let w(z) = 6*b(z) + 5*d(z). What is the second derivative of w(n) wrt n?\nAnswer: -806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/7 (b) 175794 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 11. Let c be j(0). List the prime factors of (-48)\/(-56)*c\/((-99)\/84).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*j + 277 = 0, 3*j = 4*o - 74 - 247. What is the greatest common divisor of 1428 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, d: 6}. Give prob of sequence edee.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnlnnnlll. What is prob of sequence lnn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6845 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by -9.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 126*c**4 + 11*c**3 - c - 250*c**4 + 126*c**4 to a + s*c**4 + v*c**3 + z*c + p*c**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2208 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 48*v + 53. Calculate t(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*p - 59 - 5*p + 45)*(4 + 2 - 3).\nAnswer: 36*p - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2832*y - 5167. Let w(u) = 36*u + 1. Let k(s) = -m(s) - 2*w(s). What is the first derivative of k(b) wrt b?\nAnswer: 2760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i + 1 + 78*i - 40*i.\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, i: 4, z: 1, s: 6, b: 3, w: 3}. Give prob of sequence bszs.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(1585*y + 8*y**2 - 1585*y) + 4*y**2 + 8*y**2 - 9*y**2.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 3 - 27 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2257492 - 2256316 = -49*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2 - 2, -88 = -2*b - 2*u. Suppose -5*f + 2*t = -51, 0 = -f - 4*f + 5*t + 45. Calculate the remainder when b is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -212 and -213 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.995 - -0.005. Let k be 15\/(-20)*(-5 + (0 - -1)). Which is the second biggest value? (a) r (b) 2\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 8:08 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 + 123*u**2\/4 - 1119*u\/4 - 1243\/4.\nAnswer: -(u - 113)*(u - 11)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1588 + 1636 = -12*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/(14\/35)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-21)*f**(-1\/3)*((f\/f**(5\/11))\/f)\/f assuming f is positive.\nAnswer: f**(-59\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/4)*(t*t**0)\/t*t)\/(t*t**1)**(6\/5) assuming t is positive.\nAnswer: t**(-43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(171) + sqrt(171) + 4*3*sqrt(171))\/(sqrt(900) + sqrt(900) + -3*sqrt(900) + sqrt(900) - sqrt(99)\/(sqrt(11) + sqrt(396))))**2*-4.\nAnswer: -301644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g - 29*g + 27*g + 9*g.\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 41*h - 19. List the prime factors of w(6).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 142\/(2 - (-1 + 5)). What is the third biggest value in a, -4, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/1*22\/(-8). Suppose -3*d + 79 = -4*g + 14, d + 4*g - t = 0. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/68198 and -73\/668?\nAnswer: 22778132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 6*b + 2. Let o = 65 + -59. Calculate k(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 78627*x. Let t(h) = 2*h. What is v(t(z))?\nAnswer: 157254*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*3*(-4)\/12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {p: 1, z: 1, v: 4, a: 4, k: 3, d: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11038)\/(-6))\/((-34)\/(-51))*2. Round w to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 12870\/(-1071))*56\/(-32).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/((-6)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, m: 5, j: 2}. What is prob of picking 2 j and 2 i?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/2 - 1303*a = 0. What is a?\nAnswer: 0, 2606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3862 + -3865. Let y = 9 - 23. Which is the fourth smallest value? (a) 1\/4 (b) y (c) u (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a + 21. Let c be s(4). Solve 0 + c = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + 2*y. Let v be m(-1). Suppose -4*t + 3 + 13 = 0, -v*t + 42 = 2*a. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 62180\/25 + (-3)\/(-1). Let b = -2501 + c. Calculate the common denominator of 17\/41 and b.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o + 184 + 88 = -339 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42253 and 5128969?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1370 - 52*i + 1370 - 2*i + 2*i + i + 3*i + 2*i - 6*i + (-2*i - 4*i + 4*i)*(4 - 3 + 1) + 2 + 2*i - 2 + 6*i - 2*i - 3*i in the form c + g*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-4) - 15*(-11)\/55. Let p(r) be the third derivative of 0*r + 0*r**4 + 0 + 16*r**2 + 3\/20*r**5 + x*r**3. What is the derivative of p(q) wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 7*f**2 - 132*f + 84. Determine v(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(2 + -2 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k - 1\/10*k**5 + 4*k**2 - 1\/12*k**4 - 2\/3*k**3 + 1\/10*k**6 + 0. Let g be i(-6). Round g to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 19*d + 188. Calculate y(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5\/2 - 8315*c**4\/2 + 122315*c**3 + 261280*c**2 = 0. Calculate c.\nAnswer: -2, 0, 32, 1633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 4020972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129060108 + -209.\nAnswer: -129060317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t - 9. Let x be 103\/((t + 0)\/(-3)). Let f = 200 - x. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321481293?\nAnswer: 3, 7, 15308633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 27*l = 60, 28*t + 80 = 2*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(243) - ((sqrt(243) - (sqrt(243) + -1)) + sqrt(243))) + sqrt(243))**2.\nAnswer: -18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 17*y**2 + 3. Let a(f) = f**2 + 3*f + 3. Let z(u) = 2*u**2 + 5*u + 5. Let p(t) = 5*a(t) - 3*z(t). What is p(o(d))?\nAnswer: -289*d**4 - 102*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 16. Calculate the remainder when h(12) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 - 4*w + 13. Let n be x(-12). Let a(z) = 1 + 0 + n*z - 491*z. Determine a(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3977*f**3*z**2 - 2*f**2*z**3 - 75333*z**3 with respect to f.\nAnswer: 11931*f**2*z**2 - 4*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/182 + (-3)\/(-6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 24. Let b(x) = -3. What is 22*b(v) + 2*y(v)?\nAnswer: 2*v - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 4. Let m be a(-7). Suppose 123 = -m*j - 0*j. Let p = j + 101. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 596*r - 85*r - 4*r + (1 - 1 - r)*(0 + 1 - 3) to p*r + n and give p.\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*m = 6, 2*y + 11 = -4*m + 1. What is the units digit of 1*y*(-32*26 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7743180.59 to the nearest one hundred.\nAnswer: 7743200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -447.00253 - -447. Round a to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**3\/6 + t**2\/2 - t - 13. Let s(h) = -h - 1 - 3 - 2*h. Give 4*l(p) + s(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18193 (base 10) in base 5?\nAnswer: 1040233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*z + 4. Let n = -1 - z. Suppose 12 = 5*a + 2*f, 5*a - 3*a + 4 = -3*f. What is the remainder when a is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74627050 to the power of 1\/2, to the nearest integer?\nAnswer: 8639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1464*n - 720*n - 753*n + 124 - n**3 in the form b*n**2 + d*n + m*n**3 + w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 900*v**4 + 45570*v**3 + 50614*v**2 + 6142*v + 198 = 0.\nAnswer: -99\/2, -1, -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 - 164403*t**2 - 168934973928*t\/5 - 3209467764076\/5.\nAnswer: -(t + 19)*(t + 410998)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.51 + -0.31. What is the closest to 0.2 in -0.2, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*u + 1, -17*u + 5 = -15*u + 3*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281890 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h - 78 - 300 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z. Let i(n) = -541*n. What is g(i(m))?\nAnswer: -2164*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a factor of 29998924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 8 = -3*b. Let q(c) = -c**3 + 4*c**2 + 4*c + 7. Let n be q(5). What is the second derivative of -r**b - r + n*r - r**4 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2553*m = 2475*m + 7410. What is the smallest common multiple of 361 and m?\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 + 26*d - 42. Let k be r(-12). Let x = -163 - k. What are the prime factors of x?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*k + 12*k + 6*k)*(-2 + 2 + 2)*(27 + 22 + 33) to g + o*k and give o.\nAnswer: 4100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/5 (b) -225 (c) 0.788\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289776760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 2*u - 4. Let d(z) be the first derivative of z**4\/4 - 5*z**3 + 7*z**2 + 8*z + 19. What is the remainder when y(-3) is divided by d(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - 0) + -23 + 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2331\/42*(-20)\/(-570) + (1 - 0)*-1.\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 255259*-0.2\nAnswer: -51051.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 90 - 25c?\nAnswer: -19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/140 + 4 + (-85)\/20.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2, 3*i - 10 = -2*r - 5. Which is smaller: i or 2\/69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 - -1010000111?\nAnswer: 1010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388 and 11264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.8 (b) -1\/7 (c) 1696 (d) 0.05 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67851823.6 - -21.1.\nAnswer: 67851844.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-27))\/(3\/45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r - 7. What is b(-6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfffffff. Give prob of picking 4 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1331*o + 4010. Determine y(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 632211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1268*r**3 - 717*r**2 wrt r?\nAnswer: -7608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h + 25 = -112 - 178 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 29 = -8*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11487\/1*(65\/(-15) + 20\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 52176393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.637 nanometers in micrometers?\nAnswer: 0.675637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/22 or -6?\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27281124, 27281123, 27281122, 27281121, 27281120?\n\"Answer: -p + 27281125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:22 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 7*a + 7. Let g be i(-6). Suppose -g - 11 = -u. Suppose 14 = 2*p - u. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9091880660 and -68.\nAnswer: 9091880592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*b - 90 = -173*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 1\/1250968 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4020 and 10720.\nAnswer: 32160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*j = 3*r + 40, -r - 22 = -j. Let i = -22 - r. Calculate the highest common factor of i and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*z - 36945*z**2 - 202*z + 399*z + 36918*z**2.\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*u - 2 = 0, -4*x - 2*u = -u - 5. Let y be 0\/(-2*(0 - x)). Let a(h) = h + 35. Is a(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwep when four letters picked without replacement from mgwgmegmmewwwgpm.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -39*d**3 - 7*d**2 + 13*d - 7. Suppose 23*r + 1511 = 1465. Let j(b) = 13*b**3 + 2*b**2 - 4*b + 2. What is r*x(g) - 7*j(g)?\nAnswer: -13*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - 129*r + 92 + 128*r in the form y*r + f and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 575944 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186.0166 kilograms to grams.\nAnswer: 186016.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7937*d**2. Let w(k) = 4276*k. What is w(m(v))?\nAnswer: -33938612*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2465*b - 14776. Give p(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 10. Find the third derivative of 0*b**4 - 8*b**d + 3*b**2 - 4*b**4 - 2*b**4 wrt b.\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + -1 + (3 + sqrt(112) - sqrt(112))) + 4)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*h*n**2*y - 2*h*n**2 + 63099*h + n**2*y + 2*n*y - 1486508 with respect to h.\nAnswer: -51*n**2*y - 2*n**2 + 63099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - 37) + 1 + 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10 and 46\/(-8)*-6 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-530*b - 638 + 318 + 320)*(-6*b + 15*b - b) in the form g*b**2 + n*b + z and give g.\nAnswer: -4240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 8) in base 11?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10221110021000 (base 3) to base 10\nAnswer: 2095335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 7*f**2 + 6. Let h be o(7). Let m be (h\/3)\/((-4)\/30). Let x be (m\/(-1 - -6))\/(-1). Solve -5*n + 31 = -5*r + r, 29 = x*n - 5*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26.86, 17\/114, -5, 1\/2?\nAnswer: 26.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -6, -1, -10479, 17 in decreasing order.\nAnswer: 17, 0.4, -1, -3, -6, -10479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(1573) - (3 + sqrt(1573) + 1)) + (sqrt(1573) - 1*sqrt(1573)*2))**2 + -5).\nAnswer: 176*sqrt(13) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21886.\nAnswer: 2, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 16*l**2 - 47*l + 35. Is f(12) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 18*n - 29. Calculate o(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012593273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 + 29*l + 14. Give x(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 292*i**2 + 9352*i + 22. Calculate q(-32).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, 1071.7, 0.4, -2\/3, -1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 2142?\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/500 and 32\/175?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 3759\/50?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1370b77 (base 14) to base 3.\nAnswer: -122201021211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and 26?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*(-2 + -1*sqrt(125)))**2 + (sqrt(125) + -1*sqrt(125) + 5 - sqrt(125)) + sqrt(125) + 0 + 0.\nAnswer: 80*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21343*w - 372 = -13*u - 21338*w, 3*w - 61 = -2*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/(((-1938)\/24)\/(-17))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 998 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.5, -190, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 336398 divided by -3\nAnswer: -336398\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqfdww. What is prob of picking 1 q, 1 w, and 1 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 50. Suppose -n*k + 4239 = 4*k. Let d = k + -5. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -25*g**2 - 2*g. Let v(s) = -2*s**2 - 56. Let y(q) = -q**2 - 21. Let m(f) = 3*v(f) - 8*y(f). What is h(m(z))?\nAnswer: -100*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51909 and 9036885.\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 15*i**2 + 17*i + 38. Let w be h(-14). Let t be -2*(-1)\/(-2 + 3). Suppose t*v + 24 = 8*v. Which is the nearest to -1\/2? (a) v (b) -2\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/((-2)\/(-20)). What is the remainder when 254\/i - (-1)\/2 is divided by ((-76)\/2)\/(56 + -106 + 48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) + 7\/(-4). Let r(u) = u**3 - u**2 + 5*u + 1. Let n(p) = p**2 - p + 1. Let c(j) = s*n(j) - r(j). What is the units digit of c(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a (base 13) to base 9.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 3*j - 2, -3 + 3 = -m + 18*j + 25 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 5 - (10 - 1). Is -1 + 1 + (2047 - x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52420 and 30240?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1322 and -65\/12?\nAnswer: 7932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4526564837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1434 - -1437. Put -1, -0.3, 0.115, p in increasing order.\nAnswer: -1, -0.3, 0.115, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:04 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4.2, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1062.391 + -1006.08. What is h rounded to one dp?\nAnswer: 56.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8271 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1.39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 139 - 18)*(-1 + 1 - r**3 + 2*r**3 + r**3 - 2*r**3 + 19*r**3 - 15*r**3 + 15*r**3 + (-3*r**2 - 2*r**2 + 4*r**2)*(-3*r + 0*r + 2*r)).\nAnswer: -3620*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -763\/5 + 162. Let l = -193\/20 + u. Is l at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 3. Suppose 11 - 2 = -3*s. Let y(r) = -2 + 0 + 1. Let z(l) = s*y(l) + q(l). Let c(k) = -2*k. What is c(z(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-101)\/(3535\/(-60)))\/(4*1\/42).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84967*i*t**2 - 3*i*t - 119*i - 2*t**4 - t + 29 wrt t?\nAnswer: 169934*i - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34478*w**3 + 14007*w**3 + 5*w + 34396*w**3.\nAnswer: 82881*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -3) + 12 - (-5 - -15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 13*w - 108. Suppose -5*b - 5*y = -95, -27 = -4*b + 3*y + 28. What is the remainder when b is divided by k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(264\/(-264)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 14 = -0*x. Suppose -k = -4*v + k + 44, 2*k = -4*v + 44. Let s = v + x. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 13*x**2 + 12. Let b = 7 + 2. Let l be u(b). Suppose l = -n - 3*n. What is n rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**6\/30 + 3*q**5\/5 - 5*q**4\/2 + 14*q**3\/3 + 31*q**2\/2 + 2. Let z(r) be the second derivative of l(r). Factor z(g).\nAnswer: -4*(g - 7)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6\/7, -20\/873 in decreasing order.\nAnswer: -20\/873, -6\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 85\/481757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 27*j**2 + 37*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 4, -0.2, 2, -19, -4, 0 in descending order.\nAnswer: 4, 2, 0.02, 0, -0.2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**2\/2 - 5*d - 23. Let r(a) = -a - 6. Let k be 2\/(-2) - (6 - 2). Calculate k*n(h) + 4*r(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7951 - 7956. Which is the nearest to -2\/5? (a) y (b) 0.2 (c) 0.0977 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187 and -4.2169.\nAnswer: -788.5603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6) + 9\/216*5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 173247*y**2 + 6*y - 8. Let l be a(8). Let n be -8317*16*(-93)\/(-2). Let t = n + l. Round t to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 122. Let j(m) = 15*m**2 + 6*m - 18. Let h(o) = 12*o**2 + 5*o - 15. Let v(x) = -6*h(x) + 5*j(x). What is v(k(b))?\nAnswer: 3*b**2 - 732*b + 44652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-22)*h*h**(-3)*(h\/h**(-6))**(-48) assuming h is positive.\nAnswer: h**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4539, -4518, -4497, -4476, -4455?\nAnswer: -4434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 + 3*m + 2. Let u(i) = i**2 + 8*i + 4. Let g be u(-7). Is p(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*l = 105, 10*o = 5*o + 5*l + 85. Let f(b) = 3*b**2 - 13*b + 5. Let m be f(4). What is the remainder when o is divided by ((m - 4) + 5 - 5) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*o = -10, -4*d + 5*d = -5*o + 10. Suppose d*x = 12*x. Let c(w) = 4*w - 21. Let l be c(6). Solve -l = 3*j - x*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1636 + -1636. Solve b = -2*d - 5*l + 27, d - l = -0*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 1. Let n(y) = 6*y**2 - 5. Let s be 2 - (-3 + 2) - 2. Let f(a) = s*n(a) + 5*r(a). Let j(u) = 11*u + 8*u + 4*u - 22*u. What is f(j(z))?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/5 + 17\/15. What is the second biggest value in n, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -28, -37, -48, -61, -76?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncszczlnzznzz. What is prob of sequence zzn?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7111208 divided by 50\nAnswer: 3555604\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19\/156 + -8\/39. Which is the biggest value? (a) q (b) -3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:00 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i + 8 + 7*i - 2*i. Let s be g(-5). What is the second derivative of 3*m**2 - s*m**4 - 4*m**2 + m**2 - 10*m wrt m?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyyy when four letters picked without replacement from yyzyyzzzzyzzzzzz?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -523. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 6. Let d = -7 - w. Factor 5 - d*r - 3 - r**2 + 3*r - 2*r.\nAnswer: -(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(1 - (-1208)\/(-24)))\/(-6).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/18 and -23\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1.06\nAnswer: 0.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30282 = -28*h - 30450 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.563 - 0.077. Let d = f - 0.28. Let b = 0.08 - d. Which is greater: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-2303)*-7*13\/(-5). Let y = s + 5038\/3055. Is y < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600 + 36 + 3*t - 636.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from accaxxemq. Give prob of picking 1 x, 1 c, 1 m, and 1 e.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.16 - 10.16. Put -1\/2, m, 2, -2\/13, 0.3 in ascending order.\nAnswer: m, -1\/2, -2\/13, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2805 + -1918. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -0.0459?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2416*o - 1438 + 471 = 1449 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7) + -1 + -2 + -5.\nAnswer: -8 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133 * 2577.\nAnswer: -342741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 5*a + 8. Let v be z(5). Suppose 0*u - 4*u = -v. Calculate the greatest common factor of 22 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h - 5 + 6*h - 2*h + (-4*h + h + h)*(4 - 6 + 3) in the form k*h + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -21.8. What is the nearest to 0 in -4, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003249041121 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*q**2 + 213336*b**3*q - 26*b**2*q**3 - 127*b*q**3 wrt q.\nAnswer: 2*b**3 - 156*b**2*q - 762*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j + 1. Let m be i(2). Let v(f) = -f**3 + 24*f**2 - 119*f - 81. Let d be v(16). What is the highest common divisor of d and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -53.97, 14 in decreasing order.\nAnswer: 14, -3\/7, -53.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23727*z - 23732*z - 46 = 3*i, 2*i - 2*z = -52 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750817182?\nAnswer: 2, 3, 457, 273821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j = -215 - 89 - 140 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31433786 and 0.3.\nAnswer: 9430135.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*h + 2 + 2*h**5 - 17151*h**3 + 17151*h**3 + 4*h**5 - 3*h**5 - 3*h**5 + (2*h - 2*h + 2*h**2)*(-6*h**3 + 2*h**3 + 2*h**3).\nAnswer: -4*h**5 - 31*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + sqrt(245)*1 + -4)**2.\nAnswer: -84*sqrt(5) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -374917.758 to the nearest ten.\nAnswer: -374920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**4 - 2*i**3 + 7 + 2*i - 6 + 3 - 2 + 14*i**2 to g*i**3 + z + o*i**2 + c*i + p*i**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*a - 11 = 0, 0*c - a = -c - 3. Suppose 0 = -b - 0*b - 4. Put b, c, 0 in increasing order.\nAnswer: b, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2215, -4388, -6541, -8674?\nAnswer: -10787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1065932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2755 - -2780. Which is smaller: y or 167\/7?\nAnswer: 167\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g + 8. Let l(c) = c**3 + 8*c**2 - 9*c + 2. Let n be l(g). What is the first derivative of 3*q + 2*q + 8 + n*q + 5*q wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 164.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 3*k - 8 + 3*k + k to the form u*k + d and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45892 - -45892. Solve -24*f**2 + 0 + x*f - 2\/3*f**4 - 8*f**3 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-36) - 2\/(-3). What is the first derivative of -95*t**2 + 212*t**r - 149 + 4*t**4 - 105*t**2 wrt t?\nAnswer: 16*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (18 - 6)) + -14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4\/5 - 67334*l**3\/5 = 0.\nAnswer: 0, 67334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 1153*a**7\/7 + 83*a**3\/3 + a + 448. What is the third derivative of c(l) wrt l?\nAnswer: 138360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 3*q**3 - 2*q**3 + 2*q - 8*q**4 + 2 as u + t*q**2 + x*q**4 + c*q + l*q**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 7*r + 7*r - 5*r + 13, y - 1 - 2 - 2 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -5*sqrt(272)*3 - (sqrt(68) + -2 + (sqrt(68) - (-1 + sqrt(68)) - sqrt(68))))**2.\nAnswer: -112*sqrt(17) + 53313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/22 and 41\/186.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(49)*3)\/(-4*sqrt(448)).\nAnswer: 3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 14. Let z = w - 17.1. Let f = -2.02 + 0.02. Which is greater: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3 - 2*k**2 - 3. Let m(g) = 3*g**2 + 5*g. Let h(r) = -2*r**2 - 3*r. Let n(x) = -5*h(x) - 3*m(x). Determine w(n(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1666333723 + 0?\nAnswer: 1666333723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*c - 0. Suppose 2*r - 10 + 4 = 0. What is the remainder when 1\/r - (-3 + 94\/(-6)) is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/2)\/l)**9\/(l**(-1)\/(l*l\/(l*l*l**(-3\/7)*l)*l)))\/((l*(l*l\/(l*l\/l**(-2\/3))*l*l)\/l*l*l)**(-38)\/((l\/(l**(2\/13)\/l))\/l**6)) assuming l is positive.\nAnswer: l**(65215\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 6. Let a be i(0). Let p be a\/2 + (-1 - -5). Suppose -3*k + 19 = p. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 7:47 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 679 = i, -5*d + 0*d + 639 = i. Let w = i + -959. What is w rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 27 = 2*u, 50 = -0*u + 4*u + 2*q. Suppose 0 = 2*l - l + 4*i - 9, 3*l - i + 25 = 0. Let f = u + l. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 3. Solve 3*t - 5*r = -p, -4*r + 5 = 2*t - 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (29 - 38) + 2*2. Let f = 85 + -511\/6. What is the biggest value in -3, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39220290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22825 - 22821. Solve 4*x + 36 = n*p, 0 = x + 4*p - 109 + 103 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5791139 micrograms in tonnes?\nAnswer: 0.0000000000005791139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 66. Let u = m - 26. Sort u, 6, 3\/8.\nAnswer: 3\/8, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*f**3*r**3 + 8*f**3*r - 554*f**3 + r**3 wrt r?\nAnswer: 54*f**3*r**2 + 8*f**3 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/((-2)\/16). Suppose 4*c - 4*i = 4, 2*i = -3*c + m*i - 2. Let a be (2 + -1254)\/c - -2. What is the greatest common factor of 35 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 45293.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 809?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 15037544?\nAnswer: 15037541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 62.1. Which is greater: -8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/4)\/(1\/4). Let c(a) = 7*a + 2. Let o be c(17). Let y = o - 100. Solve v = -4*v - 2*r + y, -12 = -t*v - r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -149 (b) 2\/339 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1082312 and -0.41.\nAnswer: 0.044374792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2183765 and 323?\nAnswer: 37124005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49283, -197072, -443393, -788252, -1231655, -1773608, -2414117, -3153188?\nAnswer: -3990827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ba6a (base 15) in base 9?\nAnswer: -321431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26706 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: Simplify ((-5*sqrt(117)*-2 + -2*sqrt(117)*2)\/(sqrt(36)\/(sqrt(100)*3)))**2*-1.\nAnswer: -105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(((-6069)\/(-34))\/(-51)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r - 326*r**2 + 5*r + 7*r - 21*r + 328*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-19)\/g*g**16)\/(g**(-11\/6)*g*g**(3\/14)\/g) assuming g is positive.\nAnswer: g**(-29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + j + 163 = 150, 4*j - 11 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4383378 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 7. Let t = -7.6 - x. Put t, 6, -4 in decreasing order.\nAnswer: 6, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 2, 0.3, 0.1, -17 in decreasing order.\nAnswer: 3, 2, 0.3, 0.1, -0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 12*n**3 + 2*n**2 - 1364*n + 1364*n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/4)\/(3\/(-6)))\/((-531)\/708).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b**2 + 19*b**3 - 20*b**3 + 4 - 3 - 2 + 11*b. What are the prime factors of z(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281 or 0?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -2*h**5\/5 - 11*h**3\/6 + 12*h. What is the second derivative of r(o) wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-9\/10))**(-42)*u**(1\/7)\/(u\/(u\/(u*(u**(-2\/7)\/u)\/u)*u*u))*(u*u**(1\/4))**(-21) assuming u is positive.\nAnswer: u**(-639\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74565 is divided by 5638?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2528*c - 2540*c + 298 + 5079*c.\nAnswer: 11*c + 298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b + 28. Let t be f(-3). Suppose -28 = -3*q - t. Solve -2*n - q = 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*t + 4. Let c = t - -4. Suppose -2*y = c, -2*j = -0*y + y - 8. Solve -3*u = -4*v - 0*u - 21, 5*v + j*u + 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b*u**4 + 898010*b*u**2 - 2*b*u - 2*b - u + 2592 wrt u.\nAnswer: -36*b*u**2 + 1796020*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 t, and 1 u when four letters picked without replacement from tuuttitttuttzuitt?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 = 13. Let g = 273 + -272. Let k(p) = g - 209*p + 415*p - 208*p. Give k(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 1\/4, 6, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9646343, 19292688, 28939033?\n\"Answer: 9646345*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, i: 5}. What is prob of sequence iioi?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**6*x**(-3\/2))\/(x*x**(2\/5))**(7\/5))**(-3))**(-17) assuming x is positive.\nAnswer: x**(6477\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 1 + 1 = -4*m, -6*m = -8802*b + 8806*b - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -7*y**4\/4 + y**3\/3 - y**2\/2 + 4. Determine a(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 8*h + 22. Let i be m(-5). Let p(k) = 2*k**2 - 10*k + 4. Calculate the remainder when p(i) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 4*p**2 - 672*p + 19. Determine m(28).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 11 = 20. What is the remainder when 120 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2209306?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 9, -0.4, -28 in ascending order.\nAnswer: -28, -4, -2, -0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*j + 42, 5*j - 3*u + 52 = -18. What is the units digit of (-2 + 0)*35\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-6) - -2*(-2)\/(-2)*305681\/15348?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -103. Which is the biggest value? (a) -3 (b) -5 (c) -1\/5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2613 by -871.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - -17. Factor -26*u + u**4 + t*u + u**5 - 29*u - 5*u**2 - 3*u**3.\nAnswer: u*(u - 2)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 591*k + 25189. What is m(39)?\nAnswer: -902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:24 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 246084380*a**2 - 523060192*a wrt a?\nAnswer: 492168760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.17, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 12 = 9. Suppose -29*s + 22 = -7*s. Sort s, -1, 5, i in descending order.\nAnswer: 5, s, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 - 754*l**4 + 87748*l**3 - 2515336*l**2 + 12726544*l - 16081600 = 0. Calculate l.\nAnswer: -475, 2, 4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -12.49 (b) 2\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -3. Suppose -n*d + 14 = -3*d. Solve 0 = -h - d + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 5:03 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6579093.\nAnswer: 3, 2193031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2 = -611*q - 617*q + 1229*q - 7*j, 3*q = -22*j + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 11, 11, 5?\n\"Answer: -3*b**2 + 15*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -2 - 1) + (-3 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 42 = -4*y, 3*w + 3 = -43*y + 94*y - 45*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -191, -219, -241, -269, -315?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 - -11. Let u = 59 + b. Solve u*h - h + 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.22 and -4439931.27.\nAnswer: -4439931.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*k - 11, -k - 2 - 1 = v. Suppose 20 = -4*w, -2*y - 19 = 4*w + w. Let s = y - k. Calculate the greatest common divisor of s and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 25 - 18*b + 11 - 81 + 15 to k + p*b and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (6 - -1 - (19 + -11 - 12))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 r, and 1 y when four letters picked without replacement from {u: 2, c: 5, b: 3, r: 1, y: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c + 3. Suppose -3*r + 8*r + 25 = 0. Let p be 7 - ((-1 - r) + -2). What is the remainder when a(p) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**4 - 20*r**3 + 132*r**2 - 254*r + 158. Let s(w) = -16*w**4 + 97*w**3 - 660*w**2 + 1273*w - 789. Let x(a) = -2*s(a) - 11*v(a). Factor x(k).\nAnswer: -(k - 20)*(k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -4) + (-87 - (11 - 40))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -292, -594, -914, -1252, -1608?\n\"Answer: -9*o**2 - 275*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45220886 is divided by 3014724?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/5)\/o)**(2\/37) assuming o is positive.\nAnswer: o**(-18\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.85 in -0.1126, 0.4, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.087 + -0.0854. What is p rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 4*k**2 + k + 9. Let p be b(-4). Let q(l) = l**3 - 2*l**2. Let r(c) = c**3 - 3*c**2. What is p*q(m) - 3*r(m)?\nAnswer: 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6746, 6755, 6764?\nAnswer: 6773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69\/4*x - 81\/8 - 4*x**2 - 13\/4*x**3 + 1\/8*x**4 = 0.\nAnswer: -3, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -8. Let c = 13 + -4. Which is greater: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4 = -4*x, 4*y + 5*x - 36 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*f = 54*f - 149*f - 1860 + 14397 for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -97.72, 1\/3, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**3\/3 + v**2 - 2*v - 9. Suppose 525*i - 524*i - 3 = 0. Let d(o) = -2*o**2 - 2*o + 2. Give i*u(r) + 2*d(r).\nAnswer: -r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l - l)*(3*l**3 - 2*l**4 - 3*l**3) + 9*l + 14*l**5 - 9*l.\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = -3*n, 15 = -4*n - n - 5*d. Solve n = -2*i + 4*l + 10, -i - i - l = -5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -2 (c) -2\/11 (d) -3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.1, 47, 3, -1\/45?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5156*t + 7942.\nAnswer: 5156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2578\/(-36092))\/(2\/(-56)). Solve -1 - 1\/2*f + 1\/2*f**3 + f**u = 0 for f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*n**2 - 6*n**3 + 21*n**2 - 17*n**2 + 187 - 193 - 10*n.\nAnswer: -2*(n - 3)*(n - 1)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 4. Suppose 5 = 1061*a - 1060*a. Let b(f) = f + 1. Give a*b(n) + i(n).\nAnswer: 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/11))**46\/((t\/(t*(t*(t**(4\/11)\/t*t)\/t*t)\/t))\/(t\/(t\/(t\/(t\/(t\/t**(-3\/11)*t)*t))))))**47 assuming t is positive.\nAnswer: t**(3008\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11370 at most -11372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -2525.\nAnswer: -1\/2525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 11*x + 6. Let i(u) = u - 7*u**x - 5*u - u**3 - u + 1. Determine i(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34202 is divided by 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -3, -10, 127 in increasing order.\nAnswer: -10, -3, -1, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d98 - 22?\nAnswer: 2d76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**3 + 46*p**2 + 55*p + 550. Calculate k(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1016, 928, 696, 248, -488, -1584?\n\"Answer: -12*l**3 - 4*l + 1032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -92808, -92792, -92756, -92694, -92600, -92468?\n\"Answer: h**3 + 4*h**2 - 3*h - 92810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + 3. Suppose -3*z + s = -45. Solve 5*d = -v + 19, 5*d + 0*v - z = 3*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -373 - -517927?\nAnswer: 517554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*m - 3*u, 937 - 935 = 2*m + u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -485 + 653. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b4a + 293?\nAnswer: ddd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/39 - -160\/273. Let o be ((-77)\/35)\/((-8)\/(-16)) - (-1 + -3). Which is the smallest value? (a) k (b) o (c) -0.5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32298 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(12\/7)*f**(1\/8))\/(f*(f*f**17)\/f*f*f**(-3)*f) assuming f is positive.\nAnswer: f**(-849\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 24*h. Let i be k(24). Suppose -10*m + 3*m + 567 = i. Calculate the remainder when m is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -7 - 2. Suppose -p*y + 6*y - 2229 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -3\/814 (c) -0.5367 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3797470 + 17?\nAnswer: 3797487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 1.32032 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + 4 - f + f**3 + 4*f**2 + 3. Let h be n(4). Let b(d) = d**3 - 3*d**2 - 3*d - 1. Determine b(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 m when three letters picked without replacement from {m: 3, i: 2, v: 1, a: 6}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 512 - 514. Which is the nearest to 0.2? (a) 4 (b) j (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**6\/90 - t**5\/120 + t**4\/12 + 2*t. Let w(f) be the third derivative of c(f). Determine w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + m + 1. Let h be r(2). Let n(k) = k**2 + 16*k + 64. Let j be n(-7). Which is the nearest to 1? (a) j (b) 1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7938767 is divided by 419.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4\/5 (c) -31\/4 (d) 7\/3 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18) + 9 + 856\/(-96)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -21 (b) -1 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.747893 rounded to two dps?\nAnswer: -4.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -5633?\nAnswer: -5633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -43 + 50 + -2 + 23 - -13\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116730 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 - 64. Let g(y) = 6*y + 16. Let d be g(o). Is 4\/d*(-531)\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -43*u**3 - 13*u**2 + 51. Let m(h) = -21*h**3 - 6*h**2 + 26. Let z(f) = -6*b(f) + 13*m(f). Differentiate z(a) wrt a.\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434840 divided by 1\nAnswer: 434840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*(10\/(-4))\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5572*h*k**3 - 6*h*k**2 + 118*h*k - h + 26*k**3 + 76*k**2 - k wrt k.\nAnswer: -33432*h + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddcddccccdcdcccd. What is prob of picking 1 d and 3 c?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -37*q**2 - 1440*q - 2632. What is l(-37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -151*p - 452. Let a be n(-3). Let d be 18\/5 - (-4)\/10. Solve 0 = -d*w + 3*w - a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*q + 4*y + 2, -2*q = -4*y - 72. What is the remainder when 123 is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 11:47 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, 0.4, 0, -518\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/41410717 or 0?\nAnswer: -30\/41410717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25100*a*h*k**2 - 4*a*h - 75540*a*k**2 with respect to h.\nAnswer: 25100*a*k**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 96*o**2 + 1671*o - 9. Let u be b(-23). Solve u*n = 169*n + 36 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 5958.\nAnswer: 5960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -521?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2007*q. Let h(u) = -3*u**2. Determine a(h(r)).\nAnswer: 6021*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -168003.59 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 170375 (base 9) to base 8\nAnswer: 315507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2890.4 + 2908.041. Let b = 0.259 + v. Let s = 19 - b. Round s to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)\/f*f)\/f*f*f**(2\/5)*f)\/(f**(4\/7)\/f**(-2)) assuming f is positive.\nAnswer: f**(-111\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 0, -3 in ascending order.\nAnswer: -9, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 3*g**2 + 3*g**2 - 22*g - 4*g**2 + 10*g.\nAnswer: -4*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 22*r - 106. Let o be f(-8). Solve 0 = v - 2*b + o*b - 25, 3*b = 4*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 7*o**2 - 6*o - 9. Let p = 9 + -7. Suppose -36 = -p*y - 2. Calculate the remainder when s(-7) is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 1460*f. Let w(j) = -150*j**2. What is t(w(x))?\nAnswer: 22500*x**4 - 219000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/2*(-111)\/(-74)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6645196 and 59\/1074.\nAnswer: 19935588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 8 = 3*f, 4*f = 4561*w - 4567*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3460*(224\/(-245) - (-4)\/(-14))?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.1771 + 4.5678. Round z to one dp.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m + 9*m - 19*m as u*m + r and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1524339 and 179334.\nAnswer: 3048678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*a + 3414, -34*a + 5*r - 2310 = -32*a. Which is bigger: a or -1131?\nAnswer: -1131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1364.4693s?\nAnswer: 0.01579246875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 - -3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, -0.2, -3\/2, -11284?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 96*i + 16028. Let f be y(-167). Let w(j) = 3*j + 13. Let l(p) = 2*p + 7. Give f*w(d) + 7*l(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -13, -8, -3, 2, 7?\n\"Answer: 5*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 8:46 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -131191 greater than -131190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 502, -58, 4 in descending order.\nAnswer: 502, 4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8874\/(-73950)*((-1)\/(3*-1))\/(-1)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80) - sqrt(80)) + 3)**2 + sqrt(80).\nAnswer: -68*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b - 267. Let v = 138 - b. Calculate the greatest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2272 and 1847704.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*j + 78*j + 5 = 0. Suppose -6*l + j = 35. What is the second biggest value in l, -0.09, 4\/3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -539 + 541. Solve 2*h - 8 = 0, p*y - 4*y + 4*h - 16 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458 + 7182*d + 72*d**3 - 303*d**3 - 8*d**4 + 8*d**3 - 47*d**3 - 152*d**3 - 5294*d**2 = 0.\nAnswer: -27, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12240 by -1530.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4 - 20515*u**3 - 41010*u**2 = 0. Calculate u.\nAnswer: -4101, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010603 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c - 10. Let a(y) = -y**3 - 5*y**2 - 4*y + 6. What is the tens digit of a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from vzvcvcqqcdv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155868 and 754044?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysmymkytsssmy. What is prob of sequence mss?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -158*w**2*y + 10*w**2 + y**3 + 3*y**2 + 199 wrt y.\nAnswer: -158*w**2 + 3*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -253.\nAnswer: 1\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 607476229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3677.6 - -3393. Let i = w + 137. What is i rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16768.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00053293094 to six decimal places.\nAnswer: 0.000533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, c: 3, i: 12}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 57 - 34 = -5*i, -4*i - 8 = 2*q. Calculate the least common multiple of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10868317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 8*b - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42.1, -122, -3, -9, 0.4 in ascending order.\nAnswer: -122, -9, -3, 0.4, 42.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1238262093 by 3851.\nAnswer: -321543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**25*p)*p)\/(p\/((((p**(5\/8)\/p)\/p*p)\/p*p*p*p)\/p)))\/(p**(-7)*p\/(p*(p**(-1\/4)\/p)\/p)*p) assuming p is positive.\nAnswer: p**(-165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukuu when four letters picked without replacement from {u: 7, k: 5, z: 1}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from wjwjwwwwwjww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903568585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-6)*c*c*c*c**10*c)\/((c*c\/c**3)\/c)**(-12))**(-8\/3) assuming c is positive.\nAnswer: c**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssswwvswws. Give prob of sequence ssw.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/8)\/(11\/88). Let h be -5 + a + -12 + 18. Solve 7*t - 3 = h*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042088964 to four decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 207454 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 3 + 1 + 4. Solve i - h*t = -3, -4 = i - t - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44252.\nAnswer: 2, 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 36711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -961.9702 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.2 (c) -78 (d) -956 (e) -1\/5 (f) -2\/5 (g) -0.0331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/33, -2\/15, 37399\/14?\nAnswer: 37399\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 21566 = -6991. Let o = -64117\/22 - h. Find the common denominator of 328\/128 + (-3)\/(-2) and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -685*d - 188. List the prime factors of b(-5).\nAnswer: 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182410454.\nAnswer: 2, 91205227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -48. Let h be 56\/21 - 1\/(-3). Let j(v) = v - h + 6 + 2 + 0*v. What is j(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**4 + 56870*l**3 + 113720*l**2 = 0.\nAnswer: -11372, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**3 + 14*j**2 - 5*j + 1. Let x(v) = -v**3 - v**2 + v - 1. Let l(t) = m(t) + 5*x(t). Let o be l(-4). Is -3*2\/(-9)*15318\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4424.92 rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*l = -36, -2869*l + 2870*l + 57 = 5*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 7*o + 1. Let a = -113 + 117. Suppose -a*v = r - 0*v - 3, 4*r - 4*v + 48 = 0. Determine b(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 4:44 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Suppose 4*y + k*y = 210. Solve -4*c = y - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 36. Suppose 2*w - 23 = c. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6425998 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**3\/3 + 4*j**2 + 5*j + 5. Let a be r(-7). What is the units digit of (-36)\/(-4)*(a + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1 - -11) + (89 - 68).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 56409751.8 to the nearest 1000000.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 11*b**6\/30 + 17*b**5\/10 - 1011*b**2\/2 + 892*b. What is the derivative of z(j) wrt j?\nAnswer: 44*j**3 + 102*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*n + 570*n + 765 = 824*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 + (-2074)\/85)*-28*(-30)\/(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*t - 23, -3*t - 3*k = 2*k - 36. Suppose -40 = -5*s - 210. Let u = s - -53. What is the remainder when u is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290610 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 18*g - 117. What is the second derivative of 2*z - g*z - 2 + z**3 + 5 + 4*z - 6*z**2 wrt z?\nAnswer: 6*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1267497 and 1162359?\nAnswer: 5841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (sqrt(32) - sqrt(1568)) + sqrt(8) + -1*sqrt(512))\/((sqrt(8)*1)\/sqrt(2) - sqrt(4) - sqrt(24)\/sqrt(150)).\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 38. Suppose -124 = -3*a - 2*a + b, m*a = -b + 68. What is the lowest common multiple of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**3 - 21516747*l**2 + 147171348*l?\nAnswer: -24*l - 43033494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hshf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 86*n**2 - 89*n + 226. Calculate b(42).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2 + 6*r + 2*r**3 - r**3 - 8*r**2 + r**2. Suppose -3*y + 5 = -13. List the prime factors of w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhqvhh. What is prob of picking 3 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1195829*-10\nAnswer: 11958290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.90055 - 2.9. Round p to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvddavprpppppp. Give prob of sequence va.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 25. Let l(t) = -5*t - 21. What is the tens digit of l(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f + 4 - 4 - 37*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384904 and 1014?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 = -n, -t + 3 = 2*t + n. Which is bigger: -1\/10 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + 0*j)*(0 + 0 + 1)*(-2*j**4 - j**4 - 2*j**4).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**23*b*b*b*b**(-4\/15)*b*(b*b*(b\/(b*b*b*b*b\/(b*(b\/(b*b**(1\/13)\/b))\/b*b))*b*b)\/b)\/(b**39\/b) assuming b is positive.\nAnswer: b**(-10792\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308600 and 400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3\/2. Let v be (-1491)\/(6\/2)*(-1)\/4. Let x = v + -124. Which is the nearest to x? (a) 0.06 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*w + 177*w + 112 = 0. Let t be (-7)\/w*-50*-2. Calculate the highest common divisor of t and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a - e23d?\nAnswer: -e1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + u**2 - 3*u + 2. Let p be c(2). Suppose 2*t - p + 6 = 0. Let d(f) = 3*f - 6. What is the units digit of d(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61160 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 6:29 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 3*l + 3. Let s(m) be the second derivative of -7\/2*m**2 + 7\/6*m**3 + 1\/4*m**4 + 2*m + 0. Calculate 3*s(r) + 7*y(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(567) + 1)**2*2 + -1*(sqrt(63) + sqrt(252)).\nAnswer: 27*sqrt(7) + 1131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 229766 - 108073749?\nAnswer: -107843983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 807*i**2 - 1265*i**2 + 768*i**2 - 313*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*u**2 + 11061*u + 4422 = 0. Calculate u.\nAnswer: -737, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u + 3*u**3 + 72*u**5 + u**3 + 83*u**5 - 2*u**3 - 44*u**2 + 164*u**5 wrt u?\nAnswer: 19140*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -6 + 0*n**3 + 0*n**4 - 7*n**2 + 2*n + 4\/5*n**5. Let u(s) = s**3 - 1. Determine -2*h(l) + 28*u(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 948\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 55) + (6 - 17)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111581 + 112058.21. What is w rounded to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d. Suppose -12 = -12*p + 12. Let r(v) = -6*v**2 - v**2 + 5*v**p. What is w(r(q))?\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (4 - (-6 - -15))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + x - 15, f + 0*x - x + 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:10 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 4*x**2 + 149. Let y = 42 - 42. Let z be c(y). Let u = 329 - z. Is u a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 5:56 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4120 - -3?\nAnswer: 4123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u + 12. Solve -i = 2*i + u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2958 + 1630 + 11388 - 1396 + 2830*i**2 + 5*i**3 - 2965*i**2 = 0.\nAnswer: -9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9927550 by -1882.\nAnswer: -5275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -13. Let i(d) = d**3 + 10*d**2 - 11*d + 4. Let f be i(p). Solve -f = -j - 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-16)*(1*2)\/((-314)\/1256)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 8*d + 10. Let g be p(-9). Suppose -29 - g = 4*m. Is 4\/6 - 40\/m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*s + 121*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2 - 4*z + 4. Let k(v) = 2*v**2 - 5*v - 5. Let j be k(8). Let r = 116 - j. Let l(i) = 3 - 38*i**2 - 5*i + 2 + r*i**2. Give 5*l(g) - 6*o(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 10 = 8243*z - 8239*z, 4*z = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and 31?\nAnswer: -5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**4 + 53478*w**2 - 169617*w wrt w.\nAnswer: 24*w**2 + 106956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 3. Let s be n(-3). Let w be 1\/s - 30\/(-9). Let i(l) = l - 2. What is the units digit of i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + q - q + (-4 + q + 4)*(3*q**3 - 3*q**3 - 2*q**3) - 11651*q + 11651*q - 2260*q**4.\nAnswer: -2263*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w - 7. Let a = -547 - -542. What is p(a)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 3*d + 3. Let b = -10 - -8. Let u be k(b). Let g = u + 30. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124781567?\nAnswer: 2137, 58391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 924405516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.56943 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x + 0 - 2)*(-4 + 0 + 3)*(661*x - 51*x - 75*x).\nAnswer: 1070*x**2 + 1070*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18045 divided by -7.\nAnswer: 18045\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12713.\nAnswer: 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444.54834*0.2.\nAnswer: 88.909668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 = 4*o + 11, -3*q + 5*o = -15. What are the prime factors of q - (4 + (-2 - 40))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 7:11 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7951736ng to milligrams.\nAnswer: 0.0000007951736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/17, 1397, -2\/751, 2\/19?\nAnswer: -2\/751","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 777608240124 from -4.\nAnswer: -777608240128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 137\/2. Let j be (-15)\/(-18)*18\/(-20)*23\/(-69). What is the nearest to -1\/3 in 2\/3, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1128 or 6767\/6?\nAnswer: 1128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37412 and 486356?\nAnswer: 486356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + (-97 + 99 - (21 - 1)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078081545.\nAnswer: 3, 5, 71872103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9109926 is divided by 1322.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 15*d - 1. Let h be m(13). Suppose -h*r - 68400000 = -21*r. Round r to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 divided by 20034.\nAnswer: 67\/6678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458246 is divided by 668.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407972595 is divided by 1254?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55, -110, -163, -214, -263?\n\"Answer: t**2 - 58*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/30*(-1)\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 0.06, -3, -10, -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 182848.990635.\nAnswer: 182849.990635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 8*s - 38. Calculate the greatest common divisor of s and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 2. Let v be ((-128)\/(-40))\/((-4)\/i). Solve -3*k = -3, 3*a = -0*a + 4*k + v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38149065 by 29233.\nAnswer: -1305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*j**3 - j**2*m**3 + 2*j*m**3 + 348*m**3 wrt j.\nAnswer: 177*j**2 - 2*j*m**3 + 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*u - 3, -4 = -4*c - 16. Let s(q) = -q**2 + q**3 - 33*q + 23*q + 11*q. Let v be s(u). Solve -5*w - 3*b = b + 28, -2*w = -b + v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s - 203 - 252 = 0. Is 12\/78 + 3690\/s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5, 5*s + 1998 = 3*m + 2*s. Suppose d = z + 482, -4*d + 1265 = -5*z - m. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-6)\/135)\/((-16)\/(-40))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 11. Calculate the remainder when ((-8)\/12)\/((-3)\/90) is divided by (-22)\/(1*(1 - s)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -2)*(-6)\/24. What is the closest to -2\/3 in 1\/6, -1\/4, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 7*m. Suppose 34 = 5*h - 3*g, 2*h + 0*g = g + 13. Suppose 5 + 1 = 3*x. Solve w + 4*w - x*q - 10 = m, -5*q + 45 = h*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3894509 is divided by 486813.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3705, 14834, 33383, 59352, 92741, 133550?\n\"Answer: 3710*j**2 - j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 81332*h - 406660. Give r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2693740 and -19\/20203050.\nAnswer: 40406100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let q be 2989\/(-923) - (-2 + (-3)\/3). Let x = q + 6\/71. What is the closest to x in -2\/15, o, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/185320 or 0?\nAnswer: -3\/185320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 = 3*p + 173, 53*p = -g + 67 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -436, -872, -1314, -1762, -2216, -2676?\n\"Answer: -3*m**2 - 427*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3. Let v = l - -19. Suppose 0 = -d - 1 + 10. What is the greatest common factor of d and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8435 divided by -1?\nAnswer: 8435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.31 and -102?\nAnswer: 235.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 182898 divided by -81\nAnswer: -2258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(171) + 3) + sqrt(19)*2 + 5 + 3)**2.\nAnswer: 182*sqrt(19) + 3260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 176.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ttttiiiittiiittiiiit.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -15. Suppose -44 = 5*n - r - 28, -n - 5 = -2*r. Sort n, p, 21, -1 in descending order.\nAnswer: 21, p, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1630, 3269, 4916, 6571, 8234, 9905, 11584?\n\"Answer: 4*p**2 + 1627*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/3699979 or 0?\nAnswer: -28\/3699979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*f**2*m - 2655436*f**2 - 780*f*m - f - 27*m + 2 wrt m?\nAnswer: -15*f**2 - 780*f - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000160852 to 7 decimal places.\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y - 2*h - 36, -4*y - 42 = -5*h. Let i be 1\/4 - ((-490)\/y)\/(-7). What is the second derivative of 10*b + 23*b**4 - 9*b**4 + i*b wrt b?\nAnswer: 168*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*2\/(-4)*26\/13. Let j be (0 - (-4 - -2))*10. Let w = -5 + j. Solve -f - 5 = d*h - w, 3*f = 4*h - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13484 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 8*v**2 - 3*v - 46 + v**2 + v**2 + 4*v**2.\nAnswer: -2*v**2 - 3*v - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/4035 - 63211\/8070. Find the common denominator of -41\/10 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/267 - -541\/1869. What is w in 2\/7*w**2 - 2\/7 - 2\/7*w + s*w**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -251, -511, -779, -1055, -1339, -1631?\n\"Answer: -4*u**2 - 248*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -189*s. Let x(j) = -2*j**2. Determine b(x(u)).\nAnswer: 378*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 k when four letters picked without replacement from {a: 4, o: 1, i: 1, z: 3, l: 1, k: 5}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 278479, 1 in increasing order.\nAnswer: -4, 1, 18, 278479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-134.1.\nAnswer: -536.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 + 407.730967.\nAnswer: 372.730967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 + 93*f**2 - 39*f + 493. Let v be j(-47). What is the greatest common factor of 10491 and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sevenths of a week in days?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 22\/26 - (-1395)\/195. Suppose -3*o + p*o - 2*h - 3902 = 0, 4*h + 2934 = 3*o. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 31*x - 1. Let m = -10 - -10. Suppose -5*b + 5 + 5 = m. Calculate the remainder when d(b) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*c - 6884, -2*c + r + 4584 = -r. Find the second derivative of 95*x**2 + 55*x**2 + c*x - 2067*x wrt x.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*b + b**5 + 13*b**5 - 4*b + 2*b wrt b.\nAnswer: 280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-8)*50552\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -368 - -369. Is r != 14\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v - 20*v - 2 - 8 + 5*v. Let c be d(-3). Suppose c*h = 5*y - 0*y - 459, -5*h + 387 = 4*y. What are the prime factors of y?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/7 - 1140*y**2\/7 - 121344*y\/7 - 3620864\/7 = 0.\nAnswer: -442, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-35)\/11 + (-4)\/(-22) + 7. Put x, -2, 5, 2, 10 in descending order.\nAnswer: 10, 5, x, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*i - 1100 = 258*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 143745558 - -5.\nAnswer: 143745563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182 divided by 63259.\nAnswer: -26\/9037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 881.\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18813682.7 rounded to the nearest 10000?\nAnswer: 18810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 18*r + 270. Suppose -x - 12 = -r. Suppose -7*c + 489 = -x. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7106, 8304, 9494, 10670, 11826, 12956, 14054, 15114?\nAnswer: 16130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 13*t - 420 = 0. Let q be -1 + ((-15)\/70 - (-6)\/t). Sort 3, 1, 0, q in increasing order.\nAnswer: q, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -7*o**2\/2 - 5*o + 1. Is y(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155282467 to the nearest integer?\nAnswer: 12461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -27\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -658 times 557.614?\nAnswer: -366910.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2274? (a) -4 (b) 1\/4 (c) 3 (d) 3\/5 (e) 2 (f) -45\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 + -89. Suppose -3*g - 2*g + p = 5*r, -2*r + 12 = g. What is the lowest common multiple of 6 and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 454 - 3?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 62343.34kg?\nAnswer: 62.34334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66702.04mm to nanometers.\nAnswer: 66702040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242 and 86999.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1400)\/(-120)*27\/(-945).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -251?\nAnswer: 12.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 2. Let u be l(0). What is the second derivative of -9*k**3 - u*k + 3*k + k + 5*k**3 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -27 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 54 = 78 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.55 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*b - 137*b - 245 = 0. Let k(x) = x + 4. Let j be k(0). Suppose 0 = -2*w - j. Put w, b, 3 in descending order.\nAnswer: 3, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*w + 152*w - 314*w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -356 - -353. Let k(l) = -6*l**3 - 3*l - 2. Let j(w) = -w**3 + w**2. Let i(n) = -5*j(n) + k(n). Give i(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:13 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 2. Let j = -23.4 - q. Let g = j - -6. Which is the closest to 1\/3? (a) -5 (b) -1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n - 5*w + 69 = -70*n, -21*w + w = 3*n - 309 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2013 (base 9) in base 2?\nAnswer: -10110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1166537 months to years.\nAnswer: 0.093054475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 490.9545?\nAnswer: -494.9545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-10)*w*w*(w\/((w\/(w\/(w**(7\/5)*w)))\/w*w))\/w)\/(w**(4\/3)*w*w**8\/w*w*w) assuming w is positive.\nAnswer: w**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4 (b) -2 (c) -28 (d) -3 (e) 2.04 (f) -18 (g) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549191, 2196189, 4941193, 8784209, 13725243?\nAnswer: 19764301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2939 divided by 5985?\nAnswer: 2939\/5985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 - 7*g + 42. Let y(t) = -4*t**2 + 7*t - 41. Let z(n) = 4*m(n) + 3*y(n). Is z(4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 1. Let y = -5 + 6. Let v = -1 + y. Which is bigger: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpppkpppkpkk. What is prob of sequence kk?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1162 + -0.2062. Let s(p) = -2*p + 50. Let u be s(23). Which is the biggest value? (a) f (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2178*a + 100 - 100.\nAnswer: -2178*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkeeckkkkckknnkk. What is prob of picking 2 n and 1 c?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 3)*(4*v - 11*v + 4*v) to r*v + h and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, 12, -6, 0 in descending order.\nAnswer: 24, 12, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1117.5 in -4, -2\/3, -5\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*u + p, u - 4*p + 9 + 8 = 0. Suppose u*r + 6 = 3*o, -o + 8 = -3*r - r. Is 1 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 4*k - 19. Suppose 4*y - 2*i - 104 = 2*i, 5*i + 80 = 3*y. Suppose 5*a = 10*a - y. What is the remainder when a is divided by g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16829.43432 minus -1?\nAnswer: -16828.43432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774*p + 4665*p - 559*p = 297680 for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 + -3187. Let i = y + 2578.4. Let v = 531 + i. Round v to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 634*s**3 + 2639*s**2?\nAnswer: 3804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.148, 53\/2, 7.76 in decreasing order.\nAnswer: 53\/2, 7.76, -0.148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 8 - -8) + 36 + (-9 - -5).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*j + 3*u = 126*j - 3888, 24*j - 2*u + 3*u = 25*j - 8 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 1:12 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5029.34 - -4901. Let n = 100 + o. Round n to 0 decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00752 rounded to 4 decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7252)\/74 - -70 - 38\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2504.079 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3569, -7133, -10697, -14261, -17825, -21389?\n\"Answer: -3564*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1372 and 70?\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 17*o - 14. Let k be -1 + (-48)\/(-6) + 10. Determine p(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 4*x + 16 - 19 + 3*x)*(-468*x - 152*x + 83*x).\nAnswer: 537*x**2 + 1611*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 739*n**3 + 526*n**2 + 1.\nAnswer: 4434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -3984 - 14048. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1. Let s(l) = 15*l + 3. Let m(z) = 6*g(z) + s(z). What are the prime factors of m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -3 + 5\/12*y**4 - 1\/6*y**3 + 0*y**2 + 3*y. Let v(m) be the first derivative of x(m). What is v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 204?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3077*b + 3267 with respect to b.\nAnswer: -3077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 11140288?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74 from -0.9746.\nAnswer: -74.9746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 2) + 19 + 5 + -10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, k: 1, d: 1}. Give prob of sequence uk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -148305, -148301, -148295, -148287, -148277, -148265?\n\"Answer: y**2 + y - 148307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*q**2 - 23 - 17*q**2 - 12 - 21*q**3 - 61 to g*q + t + h*q**2 + i*q**3 and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 699807461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 2}. What is prob of sequence zhh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**2 + 3741. Let h(y) = -8*y + 6. Let p(t) = 7*t - 5. Let u(v) = 5*h(v) + 6*p(v). Determine o(u(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -2 - 14 - (-4 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 6*a - 9*a**2 + 14*a - 6*a)*(2 - 2*a - 2).\nAnswer: 6*a**4 + 18*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 2, 2\/155, -52?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6938296.\nAnswer: 2, 31, 101, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23434 divided by 2?\nAnswer: 11717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, n: 5, z: 2, x: 5, t: 2, p: 2}. What is prob of picking 1 t, 2 p, and 1 n?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 18050 = -2*x, 4*x + 3*p - 18046 = 2*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 51*v - 21. Let m(d) = 7*d - 6. Let q(c) = -5*c + 4. Let r(w) = -5*m(w) - 8*q(w). Let l = 3240 + -3238. Calculate l*o(s) - 21*r(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68.5 - 67.5. Let i = 215386\/7 - 2800929\/91. Let u = 69\/7 + i. What is the nearest to 3 in 0.3, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -17. Let a be (3\/6)\/((-2)\/z). Factor -3*q**a + 8*q - 6 + 4*q - 3*q.\nAnswer: -3*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-189))\/(8\/(-60)*-5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -363*h - 16. Let p(x) = -119063*x - 5256. Give -1314*j(a) + 4*p(a).\nAnswer: 730*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -1. Let h = -40.8 - f. Let i = 7 + -8. Which is the nearest to i? (a) 1 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from hhiqqp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 4) to base 5\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141476*f - 235421*f - 461348*f.\nAnswer: -838245*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -45. What is the least common multiple of r and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 take away 6?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 463, 2\/13 in ascending order.\nAnswer: 2\/13, 0.5, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -256204583*k**2*v - 118704186*k**2 with respect to v.\nAnswer: -256204583*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {z: 13, q: 3, i: 3}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2310 (base 4) to base 14\nAnswer: -cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*2\/((-8)\/26). Is 31 a factor of (3052\/10 - j\/65) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(1\/26)\/p))\/p)\/(p\/p**(-2\/37))*p**9\/(p\/(((p\/(p*p\/(p*p**(2\/43))*p))\/p)\/p)) assuming p is positive.\nAnswer: p**(204927\/41366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - 5*f**2 - 2*f**2)*(-5*f - f + 4*f) - 6 - 23*f**3 + 6.\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {z: 1, n: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from cslcddjppccj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 4. Let i(j) = 2*j - 89. Calculate 2*h(k) - i(k).\nAnswer: -4*k + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3315413342 + 4?\nAnswer: 3315413350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/3321490 and 69\/20494300?\nAnswer: 963232100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -76, -155, -236, -319?\n\"Answer: -g**2 - 76*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 200 - 183. Solve -u*y + 14*y = -12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + f - f)*(-2 + 0 + 3) + 2*f + f**4 - 2*f - f**4 + 0*f**4 + 0*f**4 + 32439*f**4 + 15 + 85 - 32442*f**4.\nAnswer: -f**4 + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10150 (base 7) to base 15.\nAnswer: -b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 1\/4 (c) -5\/3 (d) -21 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2001 + -2044341?\nAnswer: -2042340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -3 (b) 2.82 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12315476 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10662180 rounded to the nearest 100000?\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -913\/5406 - -2\/901. Which is the nearest to 297? (a) l (b) 2 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*m**3*x**3 - m**3*x - m**3 + 5*m**2*x**4 + 25*m**2*x wrt x?\nAnswer: -108*m**3*x + 60*m**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -4 (b) 1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345099?\nAnswer: 3, 37, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 9*l**2 - 2*l - 3. Let w(g) = -g**3 - 7*g**2 + 3*g + 4. Let h(p) = -2*v(p) - 3*w(p). Calculate h(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8772?\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 2052459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 13 + 6 = -4*l, 4*l + 2*f = 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -512.\nAnswer: 5\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 5*i**2 - 6*i + 4. Let w be p(6). Suppose -352 = -4*s - 4*h, -458 = 8*s - 13*s + 4*h. Suppose s = 5*c - w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*c = -9, -3*u + 2*u + 2*c = -3. Suppose 2*q - u*z + 2 = 0, 9 = -3*q + 4*q + z. Suppose q*h + 22 = 6*h. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7671546479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 33*r + 16. Let x be l(14). Suppose 0 = 4*b - 6*b - i + 172, -b + x = i. What are the prime factors of b?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 576 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/2 - 7713*o**2 - 340461*o\/2 - 937266.\nAnswer: 3*(o - 5164)*(o + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000080577135 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28735309 and 1849.\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122212102 + -1001200011?\nAnswer: -101210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -114548.5 + 0.063541084?\nAnswer: -114548.436458916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 = 5*l + 6, -3*l = -2*w + 12. Suppose -w*n + 29 - 11 = 0. Suppose -11*z + n*z = -100. What is the greatest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105404440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*b + 8, -5*l = -0*b - b + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 8*o + 8. Let q be s(-5). Let d = q + 17. Let f(k) = k**2 - 4*k + 7. Calculate the least common multiple of d and f(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/26 + (-201)\/(-39). Suppose z = -3*l + 9, 0*z + w*z + 6 = 2*l. Let d = -4 + l. Which is smaller: d or 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 1, o: 4, n: 6}. What is prob of sequence ov?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17820966 to the nearest integer?\nAnswer: 4221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -25\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3053 = -3*t + 3*b + 1402, -1485 = -t - b. List the prime factors of t.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let b be (6\/(-9))\/f*-3. Let o = 6 - b. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -5*l**4\/8 - 3*l**2. Let n(m) = m - 1. Let r(d) = d**2 + 2*d - 2. Let q(t) = 10*n(t) - 5*r(t). Calculate q(z(c)).\nAnswer: -1125*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:27 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 0 + (-1 + 1 + 1)*(-2 + 0 + 3) - 3 + 4 + 0)*(16*n + n + 4*n) - 2*n - 3*n + 2*n.\nAnswer: -87*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 268*z**2 - 7*z - 6. What is the tens digit of a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1 - (111 - 100)) + -9 + 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/46037, -324, 1\/7 in ascending order.\nAnswer: -324, 4\/46037, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8008\/3117 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(4\/3)*u*u)**(-5\/9) assuming u is positive.\nAnswer: u**(-40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 819977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044505309 rounded to 7 dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i - i)*(1 + 1 - 3)*(0*i**3 - i**4 + 0*i**3).\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 113582941063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -255 - (63\/(-45) - (-6)\/(-10)). Let h = a - -414. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49872 divided by 3117?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*w - 2844*w**2 + 2841*w**2 + 613*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468117 = -31*r + 682255 + 281735. What is the ten thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2375\/25*((-3)\/(-12) + (-2)\/9) and 7\/495.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*r. Solve -r*l - 3*l = -20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let p = -52126 - -365523\/7. Let z = p + -92. Sort z, i, -3\/5, -2\/3 in decreasing order.\nAnswer: i, z, -3\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 265, 534, 805, 1078, 1353?\n\"Answer: s**2 + 266*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*r + 39 = 0, 0*s - 2*r = -s + 49. Suppose -5 - s = -4*d. Find the third derivative of d*m + 3*m**2 - m**5 - 16*m wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {i: 3, o: 1, t: 2, y: 1, n: 3, f: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14815820*n**4 - 17424*n**2 - 414*n wrt n.\nAnswer: 355579680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/(-8) - 3)\/(-1). Let p = 10 - 39\/4. Suppose -1\/2 - p*v + x*v**2 = 0. What is v?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (105 + 164 - 86)*(0 - 9 + 2)*(3*k**4 - 2*k**3 + 2*k**3) in the form v*k**3 + d + g*k + p*k**4 + i*k**2 and give p.\nAnswer: -3843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 20. Solve z = -5*t + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 4. Let d be c(3). Suppose 0 = 2*u - 6*u + 24. Calculate the remainder when u is divided by 6\/4*-2 - d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57822747 or -57822753?\nAnswer: -57822747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 - 102. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 184*q - 177. Let h be a(-91). Find l such that -16\/5*l**2 - 98\/5*l**h + 8\/5*l + 196\/5*l**4 + 0 - 18*l**3 = 0.\nAnswer: -2\/7, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 233297*q**2*z**3 + 131232*z**3 wrt q?\nAnswer: 466594*q*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*y - 84778 = -221*y. List the prime factors of y.\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 45440 = 4*z, 1046*z + 4*f = 1044*z + 22756. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**4*d**3 - 5697*c**3*d + 2*c**2*d**2 + 3*c**2 + 435*c*d**3 + d**3 wrt c.\nAnswer: -96*c*d**3 - 34182*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -752320.2 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1531*f + 513*f + 513*f + 507*f. Let y(a) = 11*a**2 + 47. Determine y(i(l)).\nAnswer: 44*l**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 42 = -14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*g**4)*(-101 - 85 - 9 - 126).\nAnswer: 963*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 10173.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 3*t**3 + 5*t**3)*(-16*t - 25 + 15 + 12)*(0*t - t + 3*t).\nAnswer: 32*t**5 - 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/(-78))\/(3430\/22295).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 9. Let l be k(6). Let j(v) = -11*v**3 - 12*v. Let g(y) = -4*y**3 - 4*y. Let s(i) = l*j(i) + 8*g(i). Find the second derivative of s(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*u**3 - 2615*u**2 - 3675*u + 495 = 0 for u.\nAnswer: -3, 11\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 2764570?\nAnswer: -7\/2764570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 314002 - 313995.9999968. Let v = t - 6. What is v rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -41*f**4\/4 - f**3\/3 + 17*f - 3. Let i(h) = 7*h**3 - 3. Let y(r) = 34*i(r) + 6*x(r). Find the third derivative of y(s) wrt s.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 5)*(-14 - (-16 - -29 - 165))\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37347*q**5 + 15*q**4 + 622733*q**2.\nAnswer: -2240820*q**2 + 360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 239 = 4*x + 178, 5*v = 2*x + 195. Which is the biggest value? (a) -4\/5 (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*t + 224 - 224 as h*t + o and give h.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 0.5 (c) 0.4 (d) -117 (e) -2\/17 (f) 7 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-990)\/825)\/((-14)\/35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a + 24 = 0. Let n = 10 + a. Let d = n - 1. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/29))**(2\/31)*g**(-1)*g\/g**(-8) assuming g is positive.\nAnswer: g**(7188\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n - 11*n + 9*n. Let u(z) = -2*z**2. Determine u(o(k)).\nAnswer: -338*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 479371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-252) - 120439\/(-77). Calculate the highest common divisor of 644 and o.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -29.4. Let q = 4.60004 + c. Round q to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205539.\nAnswer: 1205539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010111 + 10?\nAnswer: -1010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*sqrt(70))\/sqrt(10) - (-1*sqrt(112))\/sqrt(4))**2 + 5.\nAnswer: 6*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6607287 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (-3 + sqrt(1100) + 1 + sqrt(1100)*1)**2).\nAnswer: -400*sqrt(11) + 21995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 23. Suppose 0 = -b*d - 3*d + 6. Suppose 3*t + 253 = u, d*t = 2*u - 0*u - 506. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 421\/5 - 85. Let y(l) = l**3 + 10*l**2 - 2*l - 14. Let n be y(-10). Let b be (-20)\/12 - (-4)\/n. Which is greater: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1571 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -121.9 greater than -37\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 11*u - 5*x - 27235, -2 = -2*x. List the prime factors of u.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - 1.6. Let j = -0.9 - b. Which is smaller: -0.02 or j?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000557 to 5 dps.\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + 4*l. Let z = 36 - 21. Suppose 0 = -z*k + 12*k - 12. What are the prime factors of o(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*q = -625*q - 636. Let j = -28 - -17. What is the closest to 1\/3 in j, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from taututxetbeeautbeuue.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025457554 rounded to five decimal places?\nAnswer: 0.02546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 400520453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -117*u**2 + 114*u**2 - u + 0 + 3. Let m(a) = a**2 - a - 1. What is -g(f) - 2*m(f)?\nAnswer: f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y. Let b(d) = 7*d**2 + 2. Let m(i) = -b(i) - 6*n(i). Suppose 7*z + 10 = 2*z, -4*q - 28 = 4*z. Determine m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**15\/(((s**(3\/4)\/s)\/s)\/s*s))**5 assuming s is positive.\nAnswer: s**(325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 133\/(-57) + (-6)\/9 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-6 - -4)) + -2 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -7. Suppose -5*u + 4*u + 8 = 0. What is the lowest common multiple of u and g\/1 - (3 - 1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.0371.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/17 (b) -0.03 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4545405 divided by -303027?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (sqrt(176) + 1)) + 3 - sqrt(176))**2.\nAnswer: -16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**3 + 0*s**3 - 3*s + s**2 - s**3 - 3*s - 6. Let a(i) = 8*i**3 + 2*i**2 - 13*i - 13. Suppose -987 = -6*f - 909. Determine f*y(n) - 6*a(n).\nAnswer: 4*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22590, 90509, 203686, 362127, 565838?\n\"Answer: n**3 + 22623*n**2 + 43*n - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/17)\/(l**(-17\/3)\/l*l)*(l\/(l*l\/l**(-3\/5)))**(-3) assuming l is positive.\nAnswer: l**(2699\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 - 119*i**2 + 582*i + 3. Determine a(-44).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**4 - f - 1. Let y(p) = -78*p**4 - 74*p - 5. Let j(b) = -5*h(b) + y(b). Find the second derivative of j(v) wrt v.\nAnswer: -996*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h*m - h*s**2 + 30*h*s + 59*m*s**2 wrt m?\nAnswer: -2*h + 59*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 3*w + 280*w**2 + 4 - 278*w**2 - w**3 + 3*w**4 as q*w + t*w**3 + k*w**2 + y + z*w**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/102 - 400\/(-68). Suppose -h - q*h = -2*h. Suppose h*x + 0*x = 5*x. Solve -2*a - 5*r - 4 = x, 2*a - 2*r + 4 = -r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -791, -1514, -2719, -4406?\nAnswer: -6575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28495 and 5330?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-6 - -3) + -5. Solve 2*c + u*c + 16 = -n, 0 = -3*c - 3*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**3 + 860*c**2 + 93283*c + 183135. Let l(d) = 2*d**3 - 430*d**2 - 46643*d - 91571. Let r(s) = -3*a(s) - 7*l(s). Suppose r(j) = 0. What is j?\nAnswer: -214, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + -0.03. Let q = 0.11 - v. Is q at least 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**3 - 36*n**2 - 105*n + 150. Let w(u) = 13*u**3 + 71*u**2 + 210*u - 301. Let o(h) = -3*w(h) - 7*x(h). Solve o(r) = 0 for r.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16193.005083 + -16193. Round g to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*(g\/(g*g**1*g*g))\/g*g))\/g)\/(g**(2\/3)\/g)*(g**1)**(1\/4) assuming g is positive.\nAnswer: g**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 1. Let t = 10.61 + 0.49. Let u = y + t. Sort -1, -0.5, u in ascending order.\nAnswer: -1, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 35*x - 7. Let g(n) = -n**2 + 10*n - 2. Let d(y) = 4*b(y) - 14*g(y). Let q(c) = 2*c. Determine q(d(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30889021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*o - 4 = -65*o + 446 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q = -31*q - 172 - 4. Let x(w) = -10 - w**2 + 2*w**2 + 4 - 8*w. Determine x(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 46906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (9 - 4)*(-224)\/(-10) and 34.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmgmmgmggbgbgggg. Give prob of picking 1 b and 2 m.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36\/169 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y**2 - y - 4. Let n(i) = 11*i**2 + i + 4. Let j(t) = -5*n(t) - 4*v(t). Let d(f) = -6 + 6 + 5 - 2*f**2 + f. What is -4*d(p) - 5*j(p)?\nAnswer: 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*v + 12, 2*v = 2*i + 6 - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 21 + 51 = 0. Let w = -16 - j. Let q(f) = -13*f**2 + 5*f. Let l(v) = -4*v**2 + 2*v. Let x(m) = w*l(m) - 4*q(m). Factor x(g).\nAnswer: -4*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 13 = 7. Suppose 2*n - 2*f - 134408 = 0, -5*n + v*f - 96518 = -432526. What is n rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {k: 7, y: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 8*f + 2. Let z be w(-8). Calculate the common denominator of -67\/16 and (79\/z*-1)\/11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 28. Let a(s) = -s - 9. Let k(q) = -8*a(q) - 3*l(q). Let f be 20\/(-80) + (-1)\/(-4). What is k(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2074, -8, 20?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**3 + 12*v**2 - 6*v - 12. Let d(r) = -r**3 + r**2 - r - 1. Let s(z) = -60*d(z) + 5*j(z). Find the second derivative of s(t) wrt t.\nAnswer: 180*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 - 1)*(a - 3*a + 0*a + 2*a - 4*a + 4*a - 3 + 3 + a + (2 - 2 - a)*(4 - 2 - 3) - 4*a + a + 2*a - 18*a - 2*a + 3*a).\nAnswer: 144*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -79, -183, -339, -553?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.22 and -20.\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3)*w*w**(-7)*(w**(-1\/2))**(-5\/3))**(-9\/5) assuming w is positive.\nAnswer: w**(129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5, u - 3*x - 450 = 2*x. Suppose 334 = 2*a - 5*t, 5*t + 46 + u = 3*a. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51303680 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 7. Let r be 21\/6 + 3\/(-2). Let p = 12 + r. Calculate the remainder when p is divided by x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 137294?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 376441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -12348628 less than or equal to -12348628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.61 - -0.41. Let b = c - -2.2. Is 0.1 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*1*sqrt(605) - (-2 + -1*sqrt(605))) + -4 + -1 + 2 + sqrt(605) + -2)*1)**2.\nAnswer: -66*sqrt(5) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 32*b**3 + 24*b**2 + 80*b - 64. Let p(r) = -r**3 - 2*r**2. Let i(h) = d(h) + 28*p(h). Factor i(y).\nAnswer: 4*(y - 4)*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -343 and -1.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2492387 is divided by 117.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2 - o - 1. Let c be p(0). Which is greater: c or 2\/255?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.5 - -4. Which is the biggest value? (a) -0.1 (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzr when three letters picked without replacement from jhrqzhqqq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1448 divide 3247864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*k = -69, 1608 = -4*b - 10*k - 1893 + 3701 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + -6*(-6*sqrt(40)\/sqrt(2))\/(sqrt(10) - -1*sqrt(1000)) + 1 + 4.\nAnswer: -2 + 36*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x - 11*x - 15*x + 21*x.\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119533081?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 0*r + 2*r**4 + 0*r - 2*r + 2 - 4*r**3 + r**3 as k + w*r**3 + m*r**2 + b*r + j*r**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -21101120002?\nAnswer: 21101112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43654, -43655, -43656, -43657, -43658, -43659?\n\"Answer: -i - 43653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.468 + -0.31. Let z = t - 0.258. Which is the nearest to z? (a) 4\/5 (b) 2\/3 (c) 2\/11 (d) -0.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 2563, 5720, 10145, 15844, 22823, 31088?\nAnswer: 40645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2312, 9181, 20624, 36635, 57208, 82337, 112016, 146239?\n\"Answer: -k**3 + 2293*k**2 - 3*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3621.57 and -0.3.\nAnswer: 1086.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6644 is divided by 175.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*a + 35*a - 2589593 = 17464. What is the remainder when a is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 6*c + 15. Suppose 0 = 3*g + 3*r - 4 - c, 7 = 5*g - 3*r. Is (2 - (-57)\/6)*g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10110001?\nAnswer: -10101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 934 divide 2930888264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k - 24. Let s be w(9). Is 426\/10 + (-3 - (-102)\/s) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:02 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-1 + (4 - (-4 - -5)))) + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01040904923 rounded to five dps?\nAnswer: 0.01041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 22*j**2 - 28*j - 11. Is l(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141093 + -227093. What is d rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1000 + 1406. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*148.193.\nAnswer: -7261.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 329715 to the power of 1\/2, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/((d*d**(2\/7))\/d)))**(-4\/13)\/(d**(-1)*d\/(d**(-2\/7)\/d)))\/((d*d*d**0)**(-20)*(d\/(d*d\/d**0*d)*d)**15) assuming d is positive.\nAnswer: d**(4908\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 39*f + 30 - 7 - 9 as t*f + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 6 = -3*u. Let m(w) = 7*w**2 + w - 1. Let o be m(u). Suppose -6*t - o + 61 = 0. Solve 2*c = -5*a + 2, t*a + c = 3*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4543 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: Calculate the remainder when 765744 is divided by 11424.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 27*n - 161. Calculate o(0).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by 23\nAnswer: -91\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10192513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**7\/105 + 241*t**6\/15 - 483*t**5\/5 + 725*t**4\/3 - 967*t**3\/3 - 7*t**2 - 57*t. Factor d(z).\nAnswer: 2*(z - 1)**3*(z + 967)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 2, h: 1, z: 3, r: 4}. Give prob of picking 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 7*b - 6. Let i(h) = -5*h - 89. Let v be i(-19). Let q be a(v). Calculate the greatest common divisor of 180 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 1\/60*t**6 + 0*t**3 + 7\/3*t**4 + 44*t**2 + 0 + 0*t - 1\/5*t**5. Find the second derivative of m(v) wrt v.\nAnswer: 12*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**4\/6 + 16*f**3\/3 + 12*f**2. Let w be h(-22). What is the greatest common factor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 0*q**3 + 0*q**3)*(-4*q**2 + 0*q**2 + 3*q**2 - q**2 - 3 + 3 + (4*q - 2*q - 3*q)*(4*q - 8*q - 2*q)).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**4\/5 - 1013256*c**3\/5 - 64291480756*c**2\/5 - 3128381290224*c - 190647444042320 = 0.\nAnswer: -126535, -122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/5304 and -53\/804.\nAnswer: 355368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8 = 4*n. Let g = n + 3. Suppose 0 = d - 2*u - 2*u + 10, 0 = -4*u + 20. Solve -o + g = d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36\/7 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -48*v**3 - v**2 - v - 1. Let s be x(-1). Let b = s - 12. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-3\/4)*o\/(o\/o**(5\/2))*o*(o*o**(-10))\/o**(-2\/35) assuming o is positive.\nAnswer: o**(-587\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + y**4 + 3*y**4)*(-2124 - 408 - 6456 - 1216).\nAnswer: -20408*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -2.1. Let j = 1441\/7 - 5757\/28. What is the fourth smallest value in j, 1\/3, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((-2)\/(-5) + (-1728)\/120)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1583435\/4 + -395859. Let k = 1 + -1. What is the fourth smallest value in w, k, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181556526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 82*t**2 + 0*t + 0 + 0*t**3 - 1\/8*t**4. Let i(p) = 2*p - 36. What is d(i(j))?\nAnswer: -6*j + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -19. Suppose -w*n = -7 - 5. Is (92\/n)\/((-6)\/(-117)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 9 - 69*h**3 + 1 + 0 + 0.\nAnswer: -69*h**3 + 2*h + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 66. List the prime factors of -4*(u - 54\/8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -352675\/18 - -19587. Let d(q) = -56*q**2 - q + 2. Let t be d(-2). Find the common denominator of 2\/(-11) + 422\/t and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 greater than 0.468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*14\/(-105))\/(8\/(-60))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Let f = 12 - 8. Let k = w - f. Which is the third biggest value? (a) k (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1644 - -2406. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 124.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-15)\/(-10)))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 250 = -5*t. What is the remainder when 47 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (44\/(-5))\/((-10)\/950).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 5*p**2 + 8. Let l be (-6)\/30 + ((-8)\/(-2))\/(95\/(-114)). Give a(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**3\/6 - 4*i**2 - 3*i. Let w be x(9). Which is bigger: -1\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187\/8 + 189\/8. Put -1\/2, -2\/3, -0.1, r in descending order.\nAnswer: r, -0.1, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.499 and 1.5.\nAnswer: -6.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 10 + -14 + 50.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -12. Let a(b) = 24*b**2 + 2*b + 1. Is a(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r + 37*r + 21 = -m, -26 = 2*m - 4*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -223 (c) 3 (d) 2\/7 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17832 - 17832. Let x(y) be the third derivative of 0*y + 1\/12*y**4 + 12*y**2 + w + 5*y**3. What is the first derivative of x(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23579, 23676, 23831, 24044, 24315, 24644, 25031?\n\"Answer: 29*v**2 + 10*v + 23540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, d: 10}. What is prob of picking 2 p and 1 d?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 - 139 - (-23 + 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 53*t**3 + 20 - 224*t**3 + 2774*t**3.\nAnswer: 2497*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + f = -f - 24, 2*f = -3*x + 11. Let q be 3\/6*(x - 1). Suppose q*a = -5*m + 30 + 7, 5*a - 4*m = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y - 193*y + 4740 = 0. What is the highest common factor of 5505 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51673 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + p = 510 + 313, 808 = 2*i - 2*p. Suppose 4*a - 4*x = 576, -2*a + 4*x + i = 121. Let f = a - 53. Calculate the greatest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68\/3 - -22. Let n be (-32 + -3)*1 - 1. Let t be (4\/n)\/(4\/(-6)). Which is the second smallest value? (a) q (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**4\/4 + 5*t**3\/3 - 4*t**2 + 2*t + 1. What are the prime factors of x(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -7*w**6\/360 - w**5\/120 + w**4\/4 + w**3\/3 - 11. Let o(j) be the third derivative of f(j). Factor o(x).\nAnswer: -(x + 1)*(7*x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32236\/6 + (126\/(-27) - -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0 - 1\/4*a**5 - 10\/3*a**3 + 0*a**2 + 22*a + 25\/12*a**4. Factor i(h).\nAnswer: -5*h*(h - 4)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4796, 9594, 14392, 19190, 23988?\n\"Answer: 4798*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313925549 to the nearest integer?\nAnswer: 17718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l - 2*l - 6 + 4*l. Let i(h) = h. Let f(z) = 3*z + 17. Let p(b) = f(b) + 2*i(b). Let o(c) = -11*a(c) - 4*p(c). Calculate o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166 - 259 + 181)*(5 + 3 - 4)*(-2*t**4 + 9*t**4 + 0*t**4).\nAnswer: 2464*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1800) + (sqrt(1800) + 1)**2 + sqrt(1800) - sqrt(1800) - (3*sqrt(250)\/sqrt(5))**2).\nAnswer: 90*sqrt(2) + 1349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 5*u + 11, 46*u + 42 = -8559*x + 8557*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370313 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2007033 is divided by 1132.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ainmiim. What is prob of picking 2 i, 1 a, and 1 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 6:22 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17071\/7 - -2439. Find w, given that -6\/7*w + g*w**2 + 4\/7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*g + 81*g - 4140 = 117*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddff when four letters picked without replacement from qwfxwffwdkffwdd?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -12, -4, 0.13, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 775 = 4*x - 765, 13 = -x - 4*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10 and -27\/1808.\nAnswer: 9040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8.054485 hours?\nAnswer: 28996.146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -100*g + 405. Let y be v(4). Let o(w) = 78*w**3 - 14*w**2 + 14. Let t(k) = -26*k**3 + 5*k**2 - 5. Determine y*o(x) + 14*t(x).\nAnswer: 26*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**5 + 1750*v**4 + 104520*v**3 + 911450*v**2 + 2166125*v = 0.\nAnswer: -43, -5, 0, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1 + 30\/34*(-2754)\/(-162). What is the highest common factor of 8203 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -389 - -5837\/15. Let i = -116286.07 + 116287. What is the closest to 0 in 1\/6, -5, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**6 - 42249*v**4 + 3*v**3 - 900*v**2 - 916 wrt v?\nAnswer: -120*v**3 - 1013976*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -925574*h + 2. Let f be m(-6). Let d = f + 4246554. What is d rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbdd when four letters picked without replacement from {c: 6, d: 4, b: 5}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -332.54 + 332.04. Sort 127, -1\/11, h in increasing order.\nAnswer: h, -1\/11, 127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {r: 1, s: 3, p: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = 11. Let c = -4 + v. Solve -20 = -c*g - z, 12 = 6*g - g - 2*z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*-110 - (3\/3 - -2). Let x = c + 3962\/9. Find the common denominator of x and -38\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -683718739 rounded to the nearest one hundred thousand?\nAnswer: -683700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.084 + -7.916. What is the smallest value in -5, 0.4, v, -3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36503 + -12472. Let v = o + -12287. Is ((-6)\/4)\/((-58744)\/v + 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from giqkiiggqqgkqqqkiqg.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f - 3*f + f)*(-1 - 1 + 3)*(2 - 3 - 2) to the form s + l*f and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 1096*m**7\/35 - 1576*m**5\/15 + 3*m**2 - 3*m + 61. What is the third derivative of j(q) wrt q?\nAnswer: 157824*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnja when four letters picked without replacement from {a: 5, j: 2, n: 5}.\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1202644 = 5*b + 3*z, -z + 26 = 23. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**4\/8 - n**2. Let c(j) be the second derivative of -j**4\/6 - 2*j. Give k(c(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 1923940685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 15*k + 58. Let c be f(-7). Suppose -5*t = c - 110. Let s be (12*4\/(-4))\/(-2). Solve -t*o = -s*o - 4*z + 8, 3*z - 10 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvkv when four letters picked without replacement from kkyyvyyvkkvyyyv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1048 and 655?\nAnswer: 5240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(24 + -12 + 1479\/(-6))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248702219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 0.3, -52, -180, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, 12078, -5, 79?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from aaaaaaaaaeaaa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1531 or -1530?\nAnswer: -1531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1063.34 * 0.3.\nAnswer: 319.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4143110 + -1100?\nAnswer: 4142010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8028 and 2453.\nAnswer: 88308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4 - x**2 + x**3 + 8*x + 8 + 5*x - 12*x. Let h = -74 - -108. Calculate the remainder when h is divided by k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 473, 850, 1237, 1640, 2065, 2518, 3005, 3532?\n\"Answer: o**3 - o**2 + 373*o + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652786 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4c (base 16) to base 15\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -2\/15 (b) 0.061 (c) 92 (d) 75 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from {z: 2, y: 7, a: 2, w: 1, v: 1, l: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-5810)*-83)\/(0 + 9\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*i + 10*i + 4*q, 2*q + 8 = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 726 + -502. Let j = -1793\/8 + y. Which is the nearest to 0.3? (a) 0 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 41, 10, -53, -160, -323?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -104. Let x be 3 - ((-15)\/3 - d). Solve 3*i - x*p + 10 = -4*p, -4*p = 4*i + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/60 + i**4\/36 + i. Find t, given that m(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -158*k + 156*k. Let p = k + 61. Which is smaller: -23 or p?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 17. Let d = 7 + n. Let g(q) = 3*q. Let t(s) = 4*s + 1. Calculate d*t(u) - 3*g(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, -2, 31 in descending order.\nAnswer: 31, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/615659 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p = 40*p + 3*m + 10, -m + 26 = 4*p. What is the lowest common multiple of p and 21604?\nAnswer: 43208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105\/4 + 26. Let h be 12\/(-189) - 2\/9. Which is the closest to j? (a) -1\/2 (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 146 = -14*g, -177*t - 95 = -g - 173*t + 96 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -2764*k**5\/5 - 9953*k**3\/3 + 13993. What is the third derivative of h(i) wrt i?\nAnswer: -66336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 180, 196, 214, 234?\n\"Answer: n**2 + 13*n + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + y - 14. Suppose -g = -0*g. Let r be p(g). Let h be (-16)\/r*4\/(-16). What is the closest to -1 in h, -4\/3, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 78, 188, 450, 930, 1694?\n\"Answer: 11*o**3 + 10*o**2 + 3*o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.768 take away -376?\nAnswer: 339.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -741604*g - 2966501. What is c(-4)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -787 + 790. Let y(l) = 6*l**2 - 2*l - 8. Let z = -3 - -1. Let c(b) = 6*b**2 - 3*b - 7. Let r(h) = o*y(h) + z*c(h). What is the derivative of r(q) wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -400.76? (a) -0.3 (b) 5 (c) 0 (d) 0.029\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*w**3 - 2589*w**3 - 507*w**3 + 158*w**3.\nAnswer: -2844*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/14)\/((1*(-3)\/(-27))\/(1813\/(-777)))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((441\/(-196))\/((-3)\/(-9 - -3)))\/((-2)\/(-16))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 467\/((-3 + 4)\/(-1)). Let h = 10743\/23 + g. Which is the biggest value? (a) -0.4 (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 301 + -440. Let c = 138.9958 + h. Round c to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 19. Let n be (-1)\/((20\/(-30))\/(r\/(-6))). Let x(y) = 8*y + 5. Let d(g) = -4*g - 6 + 9 - 5. Determine n*x(w) + 5*d(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from {z: 4, q: 5, k: 3, x: 4}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14*q + 3. Calculate m(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*l - 0*x - 5*x, -5*l + 3*x = -17. Solve -b - b = -3*o - 7, -36 = l*o + 4*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**1)**(7\/11)\/((a\/(((a**(-1\/6)\/a)\/a)\/a*a))\/(a*((a*((a**(-1)*a)\/a)\/a)\/a*a)\/a*a)) assuming a is positive.\nAnswer: a**(-83\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = 2*t - 375. Let q(o) = 17*o**2 + 2*o - 3. Let b be q(3). Suppose -t*m - b = -8*m. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**3 + 4*v**2 - 4*v - 6. Let h be f(-4). Let n = -247 - h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -138 + 8*b - 6 + 5*b**2 + 41 + 51 in the form v + y*b + n*b**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 2. Let v be 1 + (26\/6 - 4) + -1. Let g = 10.8 + -10.3. Which is the closest to m? (a) g (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2329155 and 5538.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5698 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 364*h + 4 + 137*h)*(2*h**2 + 4*h**2 - 4*h**2).\nAnswer: -454*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 1920 - 1908. Solve 3*y = 3*t, 4 = c*y - 5*y + t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6888 a factor of 808754459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.7 - 15.3. Let i = o + 34. Do i and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-39))\/(80\/96)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1319429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 223026294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -8*n - 20, 13*i = 18*i - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let k(w) = w**2 - 10112. What is y(k(u))?\nAnswer: -2*u**2 + 20224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 56\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 171214, 342389, 513520, 684613, 855674?\n\"Answer: n**3 - 28*n**2 + 171252*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4298256226 to the nearest integer?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74a3 (base 12) to base 11.\nAnswer: 9682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 25783730*d**3 - 25783735*d**2.\nAnswer: 5*d**2*(d - 1)*(d + 5156747)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 161904 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1\/2*-8 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/27348 and 179\/1367400?\nAnswer: 1367400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**3*((g\/g**(1\/10))\/g)\/g)\/(g**(-3\/5)*g**(-2\/21)))\/((g**(1\/4))**(-10\/11))**(-3) assuming g is positive.\nAnswer: g**(-713\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807.891 centimeters in nanometers?\nAnswer: 18078910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x + 682. Give n(-55).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 2\/75*j**6 + 1\/20*j**5 + 1\/60*j**4 + 0 + 0*j**2 - 5*j + 0*j**3. Find l such that a(l) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2520913 is divided by 72.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/199 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 263837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*p**4 - 1215*p**3 + 27*p**2 + 411*p + 90 = 0.\nAnswer: -15, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5717584661 - 75.5?\nAnswer: 5717584585.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13488 and 434437240.\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*i + 8. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 107, 149, 179, 197?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -36*r - 121. Calculate c(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, v: 1}. Give prob of sequence vn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*b*y**2 + 59*b*y - 12858*b with respect to y.\nAnswer: -110*b*y + 59*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -56, 1\/2, -0.86, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**3 + 28*l**2 + 12*l + 169. Determine h(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**6\/360 - z**5\/24 - z**4\/8 + 34*z**3\/3 + 6. Let y(d) be the third derivative of o(d). What is y(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -4\/9 (c) -2 (d) -44 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 132*j**5\/5 + 399*j**4\/4 + 88*j**3 - 21*j**2\/2 - 18*j + 292. Suppose g(n) = 0. What is n?\nAnswer: -2, -1, -3\/11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*3\/828*2)\/(1991\/11946).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48377, 96540, 144713, 192896, 241089?\nAnswer: 289292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-12)*-3*3\/(-42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + 5*i**2 - 4*i**2 - 2*i**3 to the form y + b*i**2 + a*i + u*i**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 1, -4, -5685, -5, 3 in decreasing order.\nAnswer: 88, 3, 1, -4, -5, -5685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69, -592, -2019, -4806, -9409, -16284, -25887, -38674?\n\"Answer: -76*i**3 + 4*i**2 - 3*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -5\/4, -2\/13, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 3*s**2\/2 + 62. Let c(i) = 3*i**2 + 3*i. Determine c(q(p)).\nAnswer: 27*p**2 + 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 7*b**2 + 8*b + 10. Let o be m(7). Let x = -67 + o. Does 3 divide (x + (-21)\/6)\/(5\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6316 - 6314. Solve -a*y - 15 = -7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169952508 and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221 divided by 5935.\nAnswer: -221\/5935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86635, 86713, 86791, 86869?\nAnswer: 86947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 35481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 - (12 - 69 - -26).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121101102101 (base 3) in base 8?\nAnswer: 1165735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 8. Let m = -22 - -16. What are the prime factors of d(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 7 = g + 2*d, 0 = -2*g - 5*d + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8335126859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bcd - -2?\nAnswer: 2bd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 10043 = -2805. Let k = -318 - b. What is the remainder when k is divided by (-6 - (0 - 1))*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((64\/(-336))\/((-15)\/(-7)))\/(((-1980)\/(-4275))\/22)?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 = -161*j - 1634 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14969, 14973, 14977, 14981?\n\"Answer: 4*g + 14965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 13\/12, 3\/4 in increasing order.\nAnswer: -10, -1, 3\/4, 13\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 51*n - 141 = -k + 16*n, 20*n + 25 = -k + 26*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 653543906 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1274 and -89\/260?\nAnswer: 12740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4495? (a) -0.3 (b) -0.2 (c) 5 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 302 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.1 - -19.6. Let f = 1.5 + i. What is the third smallest value in f, -0.4, -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 0*h**3 + 2*h**3)*(2 - 2 - 2*h**2) + 2*h**5 - 4*h**5 + 0*h**5 - 2*h**5 + h**5 + 0*h**5.\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82900?\nAnswer: 2, 5, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15084 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 255 from -1513.\nAnswer: -1768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 674, 1348, 2022?\nAnswer: 2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6*u**0)\/(u**(-4)*u**(-3)))**(8\/7) assuming u is positive.\nAnswer: u**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/(-92)*-8*(0 - 2 - -8). Solve -5*i + 3*x - 18 = -37, 4*x = -y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 6*p**2 + 5*p + 23. What is r(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(2501\/(-122))*-1*38*2\/(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 + 71. Sort -1, d, -2, -108.\nAnswer: -108, d, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 923.976 + -13411.63\nAnswer: -12487.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4 - 546*n**3 - 21492*n**2 - 20944*n = 0. Calculate n.\nAnswer: -34, -1, 0, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 38 = 4*b, 83*z = 88*z - 2*b + 40 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 548 = 173. Suppose -6*y + 2*y + 3*z - q = 0, 20 = -y + z. Is y at least -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169338 is divided by 7285.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*9\/15 - 67797\/(-5). What is the highest common factor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, o: 2}. What is prob of sequence ccoc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 1.1857652?\nAnswer: 3.1857652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 2295*j - 3 - 2294*j - 2*j**2 + j**3 as y + m*j**3 + x*j**2 + h*j and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36133, 144532, 325197, 578128, 903325, 1300788?\n\"Answer: 36133*t**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 2, 20 in decreasing order.\nAnswer: 20, 8, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(170) + (-6*sqrt(170)*-1 - sqrt(170)))\/(sqrt(50)\/sqrt(5)*-4 - sqrt(10)) + 2*sqrt(17) + 4 + sqrt(85)\/sqrt(5)*6 + sqrt(17))**2.\nAnswer: 78*sqrt(17)\/5 + 25882\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286.004 litres in millilitres?\nAnswer: 1286004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 3, r: 8, t: 7}. What is prob of picking 1 r and 1 x?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 94. Is r greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -3\/5*w**5 + 1\/16*w**6 + 21\/32*w**4 + 0*w - 71 + 0*w**3 + 0*w**2. Factor n(r).\nAnswer: 3*r**3*(r - 7)*(r - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 1 - (-87 - -84 - (-33 + 8 + 7))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*l = 410, 2*l + 108 = k + 4*l. Suppose 0 = 3*b - 29 + k. Is (-8)\/(-2)*b\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/90)\/((-3)\/(-5))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 - -84. Let v = z + -116. Is 29 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*n = -37, 0 = 4*b + 3*n - 35 - 13. Let v = 17 - 12. Suppose 7*u - 4*u + 5*g = 20, 21 = v*u - 4*g. Solve -u*q = -0 - b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 - 3*z + 5. What is p(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 321\/856 - (-3133)\/8. What is the highest common divisor of v and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173056 divided by 7.\nAnswer: -173056\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -3*h**2 - 1\/12*h**4 + h + 0 - 7\/6*h**3. Suppose -2*z + z - 4 = 0. Calculate v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s**2 + 65*s**2 - 21*s**2 - 23*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b**3 - 9 - 11*b**3 + 11*b**3.\nAnswer: -25*b**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k**2 - 7. Let p(b) = 5*b**2 + b + 6. Let m(o) = 4*i(o) + 5*p(o). Let y be 17\/(17\/(-18)) + 2\/1. Let h be (y + 11)\/(0 - -1). Determine m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876*g + 15*q - q = -871*g - 145, -3*g - 3*q + 144 = 0 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2111*y**3 + 9*y**2 + 403*y wrt y.\nAnswer: 12666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4 - 11 - 2433*b**2 - 7038*b**2.\nAnswer: -9471*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -18. Sort 0, -8, j in decreasing order.\nAnswer: j, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12 = 0, 126 = 2*k - 4*a - 22. What are the prime factors of 3840\/k - 6\/33?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = 1, -3*l + 4*n - 7 = 0. Let r = l - -10. Suppose 15 = 4*o - 3*y, -3*o - 5 = -5*o + y. Solve r*s - 3*i + 1 = o, -5*s - 1 = -2*i + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 76*c - 140. Factor 9\/2*p + 15\/4*p**3 + 0 + 51\/4*p**c.\nAnswer: 3*p*(p + 3)*(5*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m + 35. Find the first derivative of 7*y - m*y + 0 + 3 - 5*y wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10180560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63108 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(99))**2 + -4.\nAnswer: -104 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 728, 1187, 2428, 4841, 8816, 14743, 23012, 34013?\n\"Answer: 65*p**3 + p**2 + p + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 9*l + 14*l - 199 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-9)\/(-3))\/(-6)*5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/148057 and 29\/14?\nAnswer: 296114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(sqrt(2) - 3*sqrt(2)) + sqrt(22)\/(sqrt(22)\/(3*sqrt(2)) - sqrt(11)) + -2.\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4095 divided by -110868.\nAnswer: -1365\/36956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + d**3 - 3*d**3 + (-2 + 6 - 3)*(-3*d**3 + 5*d**3 - d**3) - 1 + 1 + 2*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = -0*x. Let j be (1 + -2 + 0)*x. Suppose 3*d = 2*d + 2*r + j, 5*d - 4*r - 11 = 0. What is the greatest common factor of d and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1222428 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94750.\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 13*c - 16. Let f(n) = n**2 + 7*n - 1. Calculate the remainder when 28\/2 + 0 + -2 is divided by f(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678570861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*n + m - 4, -3*m - 10 = -n. What is the highest common factor of 16 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 4*v - 3. Let t be j(-4). Let s be (-12)\/t*1*-2. Let m = s + 11. Solve -6 = m*b + 2*a, 7 = -4*b - a - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948*o + 948*o - 1897*o + 286*o**2 + 185*o**2.\nAnswer: 471*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28458503 is divided by 4743082.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 7) to base 4\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221*k**4*r**2 + 533862*k**4 + 21*k**2*r + 3*k**2 + 129297*k*r**2 + 2*k*r + 2*r wrt k.\nAnswer: -5304*k*r**2 + 12812688*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696884391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 4218*k - 23 - 2108*k - 2111*k + 13.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 462*p + 7269. Calculate w(-17).\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152774802 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6158 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (4 - -24 - 5) + -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 3568*z - 383718. Give m(-111).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87444 = 3310*d - 137636 for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2045\/((2755\/(-114))\/(-29)). Are a and 2452 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 5. Let b(p) be the second derivative of -2*p**3\/3 + 682*p. Give b(z(o)).\nAnswer: 12*o + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**3\/6 + m. Let b be n(-5). Let y(s) = -2*s + 15. Let z(d) = d - 7. Let r(t) = -6*y(t) - 13*z(t). Calculate r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004563155 to seven decimal places.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 370 - -782. What is the highest common divisor of i and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**6\/180 - 7*n**5\/300 + n**4\/30 - 2*n**3\/3 + 3. Let r(o) be the third derivative of q(o). Let r(y) = 0. What is y?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 - 3045561*t + 3091813934907\/2.\nAnswer: 3*(t - 1015187)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -q - 3 - 4, -2*q = 3*x + 3. Let i be x*(-2 - -2)\/(-1). Suppose i = -0*v - v + 23. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 695*t**4 + 2*t**2 + 5273*t?\nAnswer: 8340*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let i(f) be the third derivative of -f**8\/6720 + f**5\/12 + 6*f**2. Let a(g) be the third derivative of i(g). What is a(t(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/45 and ((-185493)\/6490)\/(-33) - 1.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 2*s**2 + 2*s - 5. Let l be k(-4). Let n be 2\/(-9) + (-10)\/l. Suppose 0*v + 3*v = n. Is v != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1470, -1471, -1470, -1467?\nAnswer: -1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102321 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57665 (base 8) in base 13?\nAnswer: b1c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 7:58 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*s - 205 = -276*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1107 - 445. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 179*w**2 - 58 - 67 + 966*w**2.\nAnswer: 787*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*m = -m + 6, 2*n - m = -3. Is 3 a factor of -2 - -5 - (n - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 2314\nAnswer: -4\/1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305 + 21541?\nAnswer: 21232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 - 3*t**2 + 0*t**2 + (-t + 4*t - 2*t)*(-t - 4*t + 6*t) + 3*t**2 - 4*t**2 + 2*t**2 - 301*t**2 - 105922 + 105922.\nAnswer: -298*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5121965891.723 + -0.175\nAnswer: 5121965891.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -2.1. Let d = 2.81 + -2.8. What is the nearest to d in n, -1\/2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2583061794?\nAnswer: 2, 3, 31, 1061, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/210 + 17*n**4\/28 + 50*n**3\/21 + 548*n**2. Let h(j) = 0. Calculate j.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -35 (b) 5 (c) -421\/2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2071443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + v - 5*v. Let h(d) be the first derivative of -d**5\/30 + d**2 - 1. Let i(u) be the second derivative of h(u). Calculate i(g(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 1336\/7 (b) -0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 1 + 0 + 4*y - 1. Let i be p(3). Find the second derivative of -13*u**4 - u - 3*u**3 + 16*u**4 + i*u**3 wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4 - 22695*x**3 - 68103*x**2 - 68109*x - 22704 = 0. Calculate x.\nAnswer: -1, 7568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4233 - 4236. Is b less than or equal to -118\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5\/5 - 10104*a**4\/5 + 1664613*a**3 + 311884296*a**2\/5 + 826937124*a\/5 - 1147134384\/5 = 0.\nAnswer: -33, -4, 1, 1702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58550 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + (sqrt(7) - 2*sqrt(7)))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(-10) - 2*9\/30\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tylllggyttglbtllltxg. What is prob of picking 2 t?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 31 + 2. Let y(z) = -2*z**2 - 87*z - 34. What is the smallest common multiple of f and y(-43)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -667, -4, 154 in descending order.\nAnswer: 154, -4, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, o: 1, f: 3, k: 1}. What is prob of sequence ofk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8669000 rounded to the nearest 100000?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/8 of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 3*f - 251, -24980*f = -4*k - 24976*f + 324 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 242873089 or 242873086?\nAnswer: 242873089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 13. Calculate the common denominator of -93\/16 and 83\/(-44) - (-9)\/b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1)\/((16 + -10)\/6). Solve -4*q - 6 + 18 = j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 13*p + 13. Let s be c(7). Let l = -1553 + 1839. What is the greatest common factor of l and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -304.83 + 316. Let p = 12.8 - 1.8. Let w = q - p. Round w to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15506, -46972, -99416, -172838?\n\"Answer: -10489*c**2 + c - 5018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 331*p - 28132. Let j be y(85). Factor 4\/3*n**j + 0*n + 0 - 68*n**2.\nAnswer: 4*n**2*(n - 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 14*l + 39. Give w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -1405378943781060.\nAnswer: -1405378943781059.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 5:56 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t - 847 + 28 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 26817?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4228251 divided by -6049\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t + 73*t - 27*t - 2 - 44*t.\nAnswer: -18*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - w + 3. Let y be z(0). Let r = -51 - -54. Suppose 5*x + y*a = 363, -3*x + r*a + 212 = -a. Calculate the highest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52004333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184682 * 0.082.\nAnswer: 15143.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eneo when four letters picked without replacement from {n: 5, e: 2, o: 3}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 210 = 2*h + 298, 2*c - 48 = -4*h for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21270620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 14*c - 27. Let k be m(8). Suppose 72*j - 71*j = k. Suppose 0 = 3*w - 5*y - 33, -5*w = -4*y - 21 - j. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Suppose -p - p + 36 = l. What is the common denominator of 109\/10 and (-65)\/p*21\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -1. Calculate the remainder when 7 is divided by (8\/5)\/(6\/q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r. Let u(l) = 3*l**3 + 14*l**2 - 19. Let s(q) = 13*q**3 + 57*q**2 + q - 77. Let f(a) = -2*s(a) + 9*u(a). Let z be f(-12). Calculate t(z).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 4, o: 3}. Give prob of picking 1 a and 1 o.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 l when three letters picked without replacement from {z: 1, c: 2, k: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1486334 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - 121.72. Round u to one decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide (19 - 20)*582896\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.86 + -9.9. Suppose u - 22 - 26 = 0. Let f be ((-36)\/u)\/((-42)\/32). What is the nearest to -0.1 in f, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 6:56 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 567 + -7?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 87*m**2. Let t(w) = -4*w**2. Give t(o(q)).\nAnswer: -30276*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 72*u**3 + 1.\nAnswer: 72*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p - 376 = -5*l, -p + 2*l = -94. Suppose 2*q = -4*k + 86, 2*k + 3*k - 5*q = 145. Calculate the remainder when p is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190326814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -20 (c) 2 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 7*a + 8. Let m be l(-6). Find the second derivative of -185*f + 3*f**m - 3*f**2 - 10*f**3 + 189*f wrt f.\nAnswer: -60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1017*d - 12213. What is t(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -58008 >= -57632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02054548887 to 6 dps.\nAnswer: 0.020545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p - 1. Calculate t(-19).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379587 is divided by 1679.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -h - 4*h - 56, -3*h = -2*t + 16. What is the common denominator of (-114)\/40 - (-2)\/h and -28\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, -45, -278, -797, -1710?\n\"Answer: -18*o**3 + 19*o**2 + 14*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*y + 3734875 = 93*y - 16*y. List the prime factors of y.\nAnswer: 29879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 80*i + 252. Calculate v(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 646812.\nAnswer: 3234060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 - 19.2. Let w = 17.795 + c. Let k = 0.1967 + w. Round k to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 189641103.\nAnswer: -568923309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 57. Sort 5, 4, u, -2\/3 in increasing order.\nAnswer: -2\/3, u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d - 3. Let t(i) = -1. Let c(r) = -f(r) + 2*t(r). Let s be -6*((-10)\/(-3))\/(-2). Suppose 8 - s = 2*a. Calculate c(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194.5 times -3.7\nAnswer: -719.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72319964 to the nearest integer?\nAnswer: 8504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let u(x) = x + 5. Let b(m) = -2*p(m) - u(m). Suppose 5*k + 15 = 0, q = 2*k - 2 - 2. Let s be (-15)\/(-6)*(-12)\/q. Calculate b(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 - 68. What is the third smallest value in -5, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 553*x - 5865. Let j be s(11). Sort 3, j, -4 in increasing order.\nAnswer: -4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 4*m**2 - 6*m**2 + 4*m + m**2 - 5*m + 2*m + (2*m - m - 2*m)*(m + 2*m - m).\nAnswer: -3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjffffjjff?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1263, 2783, 4311, 5847?\nAnswer: 7391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4 = 0, 34*v - 38*v + 3*t - 66 = 4*t for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93\/10912*-16)\/((-4)\/11)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-54))\/(3\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*w - 12 - 14, 4*w + 5*r - 55 = 0. Suppose l + 2*y = 3 + w, -3*y - 8 = -4*l. Does 15 divide (-25)\/3*(-1)\/(l\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9167 + -9157. Solve -45 - c = 11*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132*m**4 + m**3*v - v - 237 wrt m.\nAnswer: 528*m**3 + 3*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnccnccnnn. What is prob of picking 2 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-23)\/92 - (-3)\/30)*480\/90. Let h = 27.2 + -23. Which is the closest to h? (a) z (b) 1\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r + 5*c - 0*c, -3*r + 5*c = -30. Let j be 1\/2 + r\/(-2). Let g(o) = -o + 1. What is g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1478, 2932, 4386, 5840?\n\"Answer: 1454*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - -9 - (2 - 1). What is the remainder when 43 is divided by 23 + (-9)\/g + 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z**4\/4 - 35131*z**3\/4 - 967652*z**2 + 277189*z = 0 for z.\nAnswer: -4906, -113, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -9 - 3)*(3 - 2). Let i be (-3)\/((-18)\/(-8))*-3. Solve -i + r = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 19 = -i, q + i = 4*i - 9. Let j = q + 31. What is the least common multiple of j and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 4761 - 5839 = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2155*z**2. Let c(t) = 2*t**2. Calculate r(c(y)).\nAnswer: -8620*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 342914 <= 343245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i + 0*i)*(1 + 3*i**4 - 1 + (-24*i**2 + 2*i**3 + 24*i**2)*(-2*i - 4*i + 4*i)) + (1 - 1 - i)*(-i + i + i**4).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 413622929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6) + (27\/(-45))\/((-9)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -1\/3 (c) -38\/169 (d) -1\/2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -15761, -1, -30 in decreasing order.\nAnswer: -1, -30, -15761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 + -1) - (-22 - -15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -55. Solve 5*f + a - 2 = 24, -m*a - 3 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36302, -5, -81 in increasing order.\nAnswer: -36302, -81, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i - 1148 + 262 = 2616 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6749783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.463 - 13.4. Let r = l + -5.063. Put 1\/13, r, 1\/6, -0.5 in decreasing order.\nAnswer: 1\/6, 1\/13, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7097 = 3*h, -2*g - 14139 = -6*g + 5*h. Find the third derivative of -a + g*a**6 - 16*a**2 - 3530*a**6 - 4*a**4 - 2*a wrt a.\nAnswer: 1320*a**3 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - 2*c - 4*c)*(-c + c - c)*(1 - 4 + 1) to a*c**2 + b*c + m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316866?\nAnswer: 2, 3, 11, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/6)\/((-1520)\/(-456)). Suppose g*m**2 + 2*m + 4 = 0. Calculate m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -5 (c) 25 (d) -1\/6 (e) -11.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.814 * 5\nAnswer: 4.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*s**3*u - 20863*s**3 + 6*s*u + 3819*u wrt s?\nAnswer: -318*s*u - 125178*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = 5*b. Let v be 1\/b*32\/(-4). Solve 2*a = -v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10762 + 4?\nAnswer: -10758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(304)*-2 + 4) + -5 - -1*(5 + -1*sqrt(304) + sqrt(304) + -2*(-1 + sqrt(304))))**2.\nAnswer: -192*sqrt(19) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*-5 + (25163 + -24 - 10).\nAnswer: 3, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d - 3. Let u be l(-2). Let t = u + -6. What is t rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*r - r = -16, -3*m - 11 = -4*r. Let x(y) = -y - 7. Let z be x(m). What is the closest to -1 in z, 5, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2980)\/(-25) + -119)\/(53\/5)?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 21 = -19. Let j(g) = 2*g**2. Let n(k) = 2*k**2 + 2*k - 2. Let r(u) = -u + 1. Let s(i) = -n(i) - 2*r(i). Calculate v*j(o) - 4*s(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Let x(m) = -38*m + m**2 + 38*m. Give x(t(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + 0.02. Let p = m - 0. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 4*k + 6*k**3 - 40389*k**2 + 40389*k**2.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 42 = 5*i - 17, 2*f + 55*i = 52*i + 35 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -124*d**7\/21 + d**5\/10 + 5*d**3\/6 + 19*d**2\/2 - 10*d + 2. Find the second derivative of x(v) wrt v.\nAnswer: -4960*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 52 = f + 2*o, 295*f - 294*f - 7*o = 102 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 3 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-10)*7\/(-98)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 29*k + 17. Let v be h(-29). Let g(f) = 832*f - 45. Is g(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16352189 to the power of 1\/2, to the nearest integer?\nAnswer: 4044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p - 1. Determine g(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 313, 0.1, 1\/2, 2\/5, -4, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -382292 < -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331 + 4301\/13. Let p = 0.11 - 6.11. Let k = p - -5. Sort -6, h, k in descending order.\nAnswer: h, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4 + 4756*d**3 + 1975866*d**2 + 226155176*d - 460251896 = 0. What is d?\nAnswer: -1886, -247, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5241 = 729*i - 1596 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u + 40 = 0. Suppose 0*r - 4*r = -u. Solve 2*h = r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u*u**1*u)\/u))**38\/(u**(-1\/2))**(-42) assuming u is positive.\nAnswer: u**(-97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*n + 20 - 338, 3*n = 2*t - 207. Calculate the greatest common divisor of 1503 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p - 858 = -18*p. Let i be (-8 - 85\/(-10)) + p\/(-4). What is the greatest common factor of 1368 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iir when three letters picked without replacement from rpiiipiriivii.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529419?\nAnswer: 3, 11, 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 6. Put 1\/2, 2, v in descending order.\nAnswer: 2, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -141. Calculate the remainder when s is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(209)*2*-1 - sqrt(209))\/(sqrt(99)*2))**2.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10419.93001 - -10420. Round d to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2\/21)\/g))\/(g*g**(-8)))\/((g\/g**(2\/9))\/g)**43 assuming g is positive.\nAnswer: g**(1175\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1182*d - 2084*d + 1334*d - 1296 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*w + 4, -5*s = 2*w - 96. Calculate the remainder when 246 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/12*4)\/(2\/26). Solve 3*u + 31 = -4*f, f + 16 = -5*u - o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 64364 = 64322. Let f(x) = 46*x**3 - 2*x. Let w(c) = 138*c**3 - 7*c. Give j*f(y) + 2*w(y).\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-8) + 2)\/(5\/(-40)). What is h in 0*h - 9\/4*h**b + 9\/4*h**3 - 3\/4*h**2 + 3\/4*h**5 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11205013.06 from 244.\nAnswer: -11204769.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, -0.5, -1 in decreasing order.\nAnswer: 0.5, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113366 and 1122.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 1:13 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(304) + 5 + 3*sqrt(304))**2 - (sqrt(304)*-3 + -4)**2) + 4.\nAnswer: 64*sqrt(19) + 2143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.445807 + 50016.\nAnswer: 50016.445807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1317 divide 4944278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.053*605.\nAnswer: 32.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7800636 and -10402.\nAnswer: -7811038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 198.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 19*u - 1. Suppose -5 = -2*b - u*d, -4*d = -b - 18 + 53. What is the remainder when 59 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - 1. Which is the third biggest value? (a) -2 (b) -2\/11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4838, -9637, -14412, -19151, -23842, -28473?\n\"Answer: 2*c**3 - 4813*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 640 + 640 - 18*l.\nAnswer: 3*l**2 - 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96270.582000896 - 96270.2. Let n = 0.382 - t. What is n rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbgunbzzgginug. What is prob of sequence gin?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67598385 divided by 5?\nAnswer: 13519677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*j + 396. Let r = j - 63. Solve -2*b + r = -5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**24\/b**(2\/5)*(b*b**(-16)*b)\/b**(3\/10) assuming b is positive.\nAnswer: b**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/3, -62, 32\/51, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12250.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 4*a**2 + 6*a + 5. Calculate x(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**6\/240 - 41*k**5\/160 - 173*k**4\/32 - 1751*k**3\/48 + 289*k**2\/2 - 1789*k. Factor q(z).\nAnswer: -(z - 1)*(z + 8)*(z + 17)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-5)*w\/w**(-2)*(w*w\/w**(3\/19)*w)**(-46) assuming w is positive.\nAnswer: w**(-2503\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 44*p - 253. Determine g(-27).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-8)\/((-256)\/28)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, t: 1, z: 1, s: 1, v: 1, o: 2}. What is prob of picking 1 t and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011101010101101010 (base 2) to base 10.\nAnswer: -1430890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -310 + 8993\/29. Let w = 49\/87 + s. Let u = 13.9 + -14.9. Which is the fourth smallest value? (a) -4 (b) w (c) 0 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0555566 rounded to four decimal places?\nAnswer: -0.0556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 14*n - 24. Let x be t(-7). Solve 10 = 4*p + 5*q, 5*q + x = 2*p + p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10 (b) -2644 (c) -0.3 (d) -2\/7 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 510 + -483. Let q(n) = -n**3 + 28*n**2 - 26*n - 29. Let r be q(b). Let x(i) = 4*i**3 + i**2 + i + 2. Determine x(r).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8427041 divided by 1203863.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 56 = 5*l. Let v = l - -16. Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.898 * -0.07469\nAnswer: -0.14176162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 368 - 336 = 7*u. Solve -4*h - 4 = 0, u*k + h + 3*h = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3968 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.54 - -0.4. Let l = a - -0.74. Let z = 166.1 - 166. What is the nearest to 0 in -3, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**3 - 2*h**2 - 2*h - 5. Let f(k) = -k**3 - k**2 - 1. Give b(q) - 2*f(q).\nAnswer: -3*q**3 - 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.7 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10516 + 1?\nAnswer: -10515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 427 and 875.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64, -127, -190, -253?\n\"Answer: -63*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000196 rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18592 in 0.881, 1, 0.5, -3, -1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5492.013 minutes?\nAnswer: 329520780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 1900 = 3*x. Let k be (-64)\/2*(x\/4 - -2). Let n = k + 7711. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1546922, 1546920, 1546916, 1546910, 1546902?\n\"Answer: -r**2 + r + 1546922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.162 and -1011490?\nAnswer: 163861.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7. Let m(j) = -j + 6. Determine 6*f(u) + 7*m(u).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6592*y = -6306*y - 10296. Suppose -4*p = -3*p + z - 11, -2*p = -z - 34. What is the highest common divisor of y and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13241 + 66203\/5. Let w = 2 - -4. Let z be ((-2)\/(-6))\/((-4)\/w). What is the nearest to -0.1 in 1.3, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**2 + 1 - 1)*(-2*c + 0*c + c) - 1 - 17*c + 0*c**3 + 3*c**3 + 10*c as a*c + k*c**2 + w*c**3 + y and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -150*y + 602. Let r be s(4). Let c(q) be the second derivative of -2\/135*q**6 + 5\/27*q**3 + 2\/9*q**r - 3*q + 0 - 1\/18*q**5 + 0*q**4. Solve c(l) = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12464 divided by 1558?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 115, 126, 141, 160?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.7 - -0.3. Let t = 1.7 + -2. Let v be -1*4 + 0\/2. What is the biggest value in t, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in -30.8, 0, -4\/107?\nAnswer: -4\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -42. Let b be (-12)\/(-21)*a\/(-10). Let i(s) = -3*s - 6. Let o(m) = 4*m + 7. Let c(t) = b*o(t) - 3*i(t). Calculate c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Let t be (-32)\/1*(-2)\/4. Suppose -2*n - 2*n + t = 0. Let i(o) = o + 1 + n - 5. Give p(i(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1590 (base 11) to base 12.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*h + 17*h**3 + 2*h**3 - 5 - 50*h**3 + 5.\nAnswer: -31*h**3 - 39*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Suppose -1 = l - 4. Suppose -3 = -5*a + 2*a. What is the nearest to a in l, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.702 rounded to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30738545.43 + -231016.57. Let t = -30969584.0000036 - v. Let w = 22 + t. Round w to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42245215 (base 7) to base 6\nAnswer: 204340401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4642 - 2919. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -954802\/339 and -2816 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let a(y) = -36*y + 88. Give w(a(j)).\nAnswer: -36*j + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 11 - 79. Let r be (-1 - -7)\/3 + 2. Suppose -d + 157 + 94 = 5*g, r*g + d - 201 = 0. What is the remainder when g is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 37282*n - 186403. Determine r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26\/21 (b) 56 (c) 5 (d) -2\/41 (e) -0.4 (f) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1230867.482 to the nearest 1000.\nAnswer: -1231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(22)\/sqrt(2) - sqrt(11))**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**4\/12 - b. Let y(x) = 3*x**2 - 156*x + 2. Let c be y(52). Let q(p) = 2 - c + 159*p - 158*p. Determine s(q(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*o + 19 = 0, l + 3*o = 7 + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59351081 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 6. Let f = -72227\/20 + 3610. Calculate the common denominator of (950\/(-15))\/(y + -1) and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 102 = -7*i + 4*i, -37 = -2*w - 5*i. Let o = w - -11. Suppose 0 = -4*f + 2*n - 3*n + 318, 4*n = -8. Calculate the highest common factor of o and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.399028ml to litres.\nAnswer: 0.007399028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) 2 (c) -0.4 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -1\/4, -5, 1, -3.\nAnswer: -5, -3, -1\/4, 1, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(-55) - (-108)\/10. Let v = h - 12. Sort v, -3, -2 in decreasing order.\nAnswer: v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {f: 3, m: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5970 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, f: 5, g: 5}. What is prob of picking 3 b?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 6:19 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6) - (-1 + -2)\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205168.\nAnswer: 2, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.9 (b) 0.024 (c) 0.17 (d) 32\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from uguuuluuuluuug.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 + 132.9. What is the nearest to 0.1 in c, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6*n - 41 - 165 = 0, 0*t + 0*t = -0*t + 15*n + 525 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceenceseosc. Give prob of sequence soc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) - (sqrt(133) - (sqrt(133)*2*-1 + sqrt(133))) - sqrt(133))) + sqrt(133) + 1*sqrt(133)*-2)\/(sqrt(14)\/(sqrt(2)*-3*4)).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*v + 21*v + 18*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (0 - 1) + -5 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 0\/((-546)\/(-13)) + 1 + (1 - -2672)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751223.\nAnswer: 11, 31, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**5\/20 - m**4\/4 + m**3 + m**2 - m. Let t be k(-5). Solve t = -5*p + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/7))**(12\/7))**(19\/2)\/(q**(-3\/5)\/((q\/(q*q**(-2\/11)))\/q)*(q**2)**(7\/3)) assuming q is positive.\nAnswer: q**(129796\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -41*c + 205. Let o be t(5). Solve o = 7*k - 0 + 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24431 rounded to 3 decimal places?\nAnswer: 0.244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/2 + -5 + -9. Let h be (u\/8)\/(2 + 18\/(-8)). Solve -3*n = -5*y + 13, -5*y = 2*n - 11 + h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001061 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*u**5 - 4\/9*u**4 - 4\/9 - 4\/9*u**3 + 2\/9*u + 8\/9*u**2 = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((176\/141328)\/(3\/(-11)))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 6.510789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - ((6 - 2) + -5)) + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123 + -71. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*i = 13, 2*m + 50*i - 10 = 55*i. Let g(x) = 22*x. Let c(l) = -221*l. Give m*c(t) - 51*g(t).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.2478 days in minutes?\nAnswer: 1400036.832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*a + 4463 = -964 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-90)*5*(-4)\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rewi when four letters picked without replacement from {e: 1, l: 1, a: 2, i: 1, w: 2, r: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p + 8. Let f(z) = -1. What is -48*f(h) - k(h)?\nAnswer: -16*h + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 354 and 14034?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -178754839?\nAnswer: 178754835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611*a**2 - 210 + 212 - 790*a**2 + 479*a**2.\nAnswer: -922*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 7*c + 24. What is u(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 14301*a**2 + 1251819*a + 1237515.\nAnswer: -3*(a - 4853)*(a + 1)*(a + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.1 and 0.25799.\nAnswer: 2.347709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 + 1392*c**2 + 242208*c = 0 for c.\nAnswer: -348, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 30, 48?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2863 + 783. Let r = 4509 + w. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p + 1. Let z = 3 - 10. Let j be 4\/8 + z\/2. Let o = j + 4. What is c(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - b**2 + 5)*(-196*b + 414*b - 216*b + 129).\nAnswer: -2*b**3 - 129*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(150)*-2) + (sqrt(48)*-5 - (sqrt(6)\/sqrt(18) - sqrt(3)))**2.\nAnswer: -sqrt(3)\/10 + 3364\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4))**17*(b**4)**(-19))**19 assuming b is positive.\nAnswer: b**(-2413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-1001))\/((-2)\/168*24)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 29 + 3 = 5*b, 5*b - 31 = -y. Suppose -5*g = 4*u + b, -5*u + 13 = -g - 3*g. Let k(q) = 12*q**2 - q + 1. List the prime factors of k(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 12*l + 21. What is the smallest common multiple of 21 and k(-12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -46, -55, -64, -73?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*p**2*u**3 - 3*p**2*u + 98*p**2 + 116*p*u**2 + p*u - 2*u**3 wrt p?\nAnswer: -52*u**3 - 6*u + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:33 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 0. Let t = -4 - j. Solve -15 = 5*l - t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -788, -2933, -6520, -11537, -17972, -25813, -35048, -45665?\nAnswer: -57652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**4\/g)*g*g*g*(((g**8*g)\/g)\/g*g)\/g)\/(g**(-1)\/(g\/g**(-1)*g)))**(14\/5) assuming g is positive.\nAnswer: g**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 8810854 and 0.1.\nAnswer: 8810854.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b1 (base 14) to base 5.\nAnswer: 10433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2532 + -2525. Let b = 1 - -6. Calculate the least common multiple of b and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/(1\/8). Let x(l) = -4*l - 9. Is 4 a factor of x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.619155 - 142.7.\nAnswer: -144.319155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428d (base 14) in base 15?\nAnswer: 27846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45448 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*d = 2*d + 38, 2*d = -2. Which is the third smallest value? (a) -0.1 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3131446950 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 6 - 4 - d)*(-2 + 2 - 3).\nAnswer: 6*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129f (base 16) to base 13.\nAnswer: -2229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 45*d - 90. Suppose -5*z + 4*r + 119 = 0, -5*z + 155 = r + 4*r. Does 18 divide o(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2447541\/115 - -442917\/92. Let k = -16472 - o. Calculate the common denominator of k and 0 + -2*91\/24.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 96, 103?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 62*i**2 - 42*i + 5571. Give k(62).\nAnswer: 2967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -281, -989, -2095, -3587, -5453?\n\"Answer: 2*w**3 - 211*w**2 - 89*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(7\/5))\/p**(-2\/5)*(p*p**4)\/(p\/(p**11*p)) assuming p is positive.\nAnswer: p**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(59*f - 71*f**4 - 59*f) to the form s*f**3 + o*f**4 + c*f + k + y*f**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 96 = 17*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-6)\/(-3)) + -91. Let q be ((-5)\/r)\/(1\/4). Which is the closest to 0.1? (a) -0.3 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5097 - 128*b + 5099 - 3*b**4 + 2*b**4)*(7*b - 2*b - 2*b).\nAnswer: -3*b**5 - 384*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 50*f + 45.\nAnswer: 5*(f - 9)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4\/377, 0, -2690.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/6)*o\/(o*o*o**(4\/9)))**(1\/19) assuming o is positive.\nAnswer: o**(-41\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r + 5. What is m(12)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 123. Which is the nearest to q? (a) -1 (b) -1\/3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 2*q**2 + 0*q**3 + 5 + 8 - 36 to the form k*q**3 + h*q**2 + c*q + s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n + 22. Let d = -1 - n. Solve 4*f + d = -q, -2*q + 16 = -f - 3*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 8 - (0 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 v, and 1 u when three letters picked without replacement from bbuvmbbmbbnm?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrjqjtjqjqqztqq. Give prob of sequence tjt.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*j**3 + 403*j**2*k**2 - 8*j**2 + 2931*j*k**2 - 2*j wrt j.\nAnswer: -60*j + 806*k**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1740951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*i + 179*i + 33 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5 = -4*x, 2*x + d + 4 = 3*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.162 + -0.052. Let o = 16 - 8. Let d = s - o. Round d to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13900 to the nearest one hundred.\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 180 + l + 113 + 5*l**4 + 151 - 197 as q*l**2 + n*l + u*l**3 + o*l**4 + w and give w.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 2, f: 1}. Give prob of picking 1 y and 1 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -251648 (base 12) to base 16\nAnswer: -93758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76739 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6795 and 2672247?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3 + 17. Let y = l - 8. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -8, -39, -64, -71, -48, 17, 136?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:55 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i**3 - 69 + 16*i**3 + 16 - 39*i**3.\nAnswer: -46*i**3 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10176790 by 2035358.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90958556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30041, 59993, 89955, 119933, 149933?\nAnswer: 179961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/13 or -3508?\nAnswer: -3508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 5*o + 2*o**3)*(3*o**2 - 5*o**2 + 0*o**2) + (-3*o + 3*o + 2*o)*(33*o**4 + 123*o - 123*o).\nAnswer: 62*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 204452, 817821, 1840086, 3271253, 5111328?\n\"Answer: i**3 + 204442*i**2 + 36*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/12 + m**3\/2 + m**2 + 53*m. Suppose -4*r + 3 - 27 = 0. Let x = r + 4. What is f(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -3. Let q be 7\/(-42)*-9*2\/(-12). What is the third biggest value in q, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/3, -2.2, -76.46, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2262 = -28*w + 31*w + 3*m, 5*w - m = 3728. Calculate the lowest common multiple of 1 and w.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3302 (base 4) to base 7.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 281 + -290. Let b(m) = m**3 + 10*m**2 - 14*m - 1. Is b(a) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -294, -1187, -2680, -4773, -7466?\n\"Answer: -300*i**2 + 7*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79, 155, 233, 313?\n\"Answer: v**2 + 73*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 - -0.58. Let t = 2.006 - 0.006. Which is the nearest to t? (a) -0.04 (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3821.93*-10\nAnswer: -38219.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 - 179. Let z = -89 - s. Let k = 3 + -16\/5. Which is the third biggest value? (a) -0.5 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86876 + -40413. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -158885 or -158886?\nAnswer: -158885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 1405288432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2824*d**2 + 3087*d**2 + 1 - 1.\nAnswer: 263*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0028926 and 20.\nAnswer: 0.057852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilhifhiszshllf. What is prob of picking 1 l, 1 f, and 1 i?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b = 28*b + 73 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 1372, 1, 5, -1, 8 in increasing order.\nAnswer: -1, 1, 2, 3, 5, 8, 1372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3 - 3370*t**2 + 1433358*t - 15361830 = 0.\nAnswer: 11, 789, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004996 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 66 + -39 - (-5 - -4 - (0 + -11))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 3:55 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/47)\/v**(-27) assuming v is positive.\nAnswer: v**(1267\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 388, 436?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -979, -1994, -3013, -4036, -5063, -6094?\n\"Answer: -2*y**2 - 1009*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c. Let h be k(-4). Let m be (7\/4)\/((-3)\/h). Is 3 + (-1 + m)*-58 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2 + 6070*i + 18228 = 0.\nAnswer: -3, 3038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**3))\/r*r**(3\/7)*r*(r**0)**(-49) assuming r is positive.\nAnswer: r**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 73\/(1314\/36)*(-19)\/2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(144) - ((sqrt(144) - (sqrt(144) + sqrt(144) + (sqrt(144) - sqrt(144)*-2))) + sqrt(144)) - sqrt(144))\/((sqrt(24)*2)\/sqrt(8)).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*z - 9*z + 23129989 = 22*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**2 - 10*r**2 - 9*r**2 + 0*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*-6 + (sqrt(96)\/sqrt(2) - sqrt(48))\/sqrt(2))\/((sqrt(972) - 3*sqrt(972))*-6 + sqrt(972)).\nAnswer: -2*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6254 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206 + 210. Suppose -3*d - 5*b + 304 = 0, 8*d - u*d + 5*b - 397 = 0. List the prime factors of d.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215506, 215508, 215510, 215512, 215514?\nAnswer: 215516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/9*-3*60\/70\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64132 = -15*o - 10597. What are the prime factors of o?\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:09 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 6*o + 4*o + 140 - 108, -20*x = 5*o + 60 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3395104, -3395105, -3395106, -3395107?\nAnswer: -3395108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 5\/4, 5, 1\/2, -2\/19, 0.4, 2\/4969?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1415, -1141, -647, 97, 1121, 2455, 4129?\n\"Answer: 5*m**3 + 80*m**2 - m - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 60 = -44. Let t = b + -7. Let q(z) = -z**3 + z**2 + z - 1. Let c(a) = 2*a**3 - 3*a**2 - 4*a + 6. Give t*c(p) + 3*q(p).\nAnswer: -p**3 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2473 - 2435. Which is the nearest to 4? (a) f (b) 2\/3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0552 - 1.4402. Let q = 0.385 + f. Let l = 0.05 - 4.05. Which is the third smallest value? (a) 1 (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (1 + 1 - 11). Let l = x + -8. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 11*s**2 + 11*s - 28. Let a be v(12). What is the common denominator of -149\/18 and ((-2)\/a)\/((-224)\/(-8720))?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 + 73*t**4 + 303*t**3 + 383*t**2 + 154*t.\nAnswer: -t*(t - 77)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w + 171. Let o be g(21). What is the greatest common factor of 27 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d - 16*d - 10*d + 19*d - d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 + 2*w + 8. Determine h(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -403 - -584. Let r = 207 - t. Solve -2*c + 6 = -c - 5*s, -r = 5*c + 3*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/20)\/(-8*(-98)\/560)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-66)\/(-9))\/((-81)\/18 + 6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 406.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**4\/18 + 10*d**3\/27 + d**2\/9 - 10*d\/9 - 656. Factor q(k).\nAnswer: -2*(k - 5)*(k - 1)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -7163.\nAnswer: -35815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/45)\/((-66)\/60).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*q**2\/5 + 3018*q\/5 + 24528\/5 = 0. What is q?\nAnswer: -8, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 16 = -2*v, 2*v = 2*t + 3*t + 18. Let m = v - 2. Suppose -m*h = -5*h + 108. Calculate the greatest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142814 (base 14) to base 3\nAnswer: 1022111020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let d(p) = 4 - 3 + 3 - 3 - p. Let x(g) = 21*g - 28. Let w(l) = -28*d(l) - x(l). Give r(w(y)).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 703053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*t**4 + 66*t**3 + 51*t**2 - 30*t.\nAnswer: -3*t*(t - 5)*(t + 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45468831515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097446603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 777225 divided by 3?\nAnswer: 259075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 9 = 39 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 317\nAnswer: -5\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -184?\nAnswer: 19\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (165\/(-10) + 12)*(-95)\/3. Is x > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1951*j**2 + 855*j**2 - 3*j**3 - 11833*j**2 + 504*j**2 - 12016*j**2.\nAnswer: -3*j**3 - 24441*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 46.3. Suppose 0 = -15*u + 8*u - 56. Let c be 30\/45*3\/u. What is the third smallest value in c, -2, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.53 + -24.47. Let u = -22 - n. Which is the second smallest value? (a) u (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-18))\/((-1015)\/30).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-22)*c*c**(-11\/3)*c**5\/c**13 assuming c is positive.\nAnswer: c**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1083*k**2 - 2 + 2 + 948*k**2 - 2028*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:30 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*v - 37*v + 2088. Let l = 514 + -282. What is the highest common divisor of l and v?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1. Let w(u) = u + 8. Determine -2*l(t) - w(t).\nAnswer: -t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -33*v - 3*z - 110, 0 = -5*v + 3*z + 436 - 494 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10*s**3 + 5*s**2 + 5*s + 5. Let u(n) = 5*n**3 - 2*n**2 - 2*n - 2. Determine 2*f(g) + 5*u(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i - 32*i + 36387 = 0. Suppose 25*z = 64*z - i. What are the prime factors of z?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 4*i**2 - 4*i**2 + (-5740*i + 4838*i + 7540*i + 6943*i + 3091*i)*(-5*i**3 + i**3 + 0*i**3).\nAnswer: -66687*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -114*w + 71. Is i(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddllllllgdll. Give prob of picking 3 l.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + 7. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.22 + -35.32. Let n = l - -30. Let z = -0.8 + -4.2. Which is the third biggest value? (a) n (b) z (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*p**2 - 18*p**2 + p**2 - 29*p**2 in the form j*p**2 + v + o*p and give j.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 68359?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.08 (b) -4\/5 (c) -2 (d) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 174. Suppose -2*n + 634 = 5*q, -2*q - n + 107 = -x. Suppose -432 - q = -10*m. Calculate the greatest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 12. Let p = 4 - 1. What is the remainder when p is divided by 16\/6 + y\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2335)\/(-7 + (-162)\/(-24))?\nAnswer: 2, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29981176 to the nearest integer?\nAnswer: 5476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*i + 19*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*a + 3*h = 70*a + 27702, -h = 5*a - 46190. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000010525 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 4*x**2 - 5*x**2)*(-19 - 22 + 29 - x**2).\nAnswer: -2*x**4 - 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f - 5*f**3 + 15*f**2 + 6*f**3 + 2*f as w + o*f**2 + i*f**3 + t*f and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 d, and 1 b when three letters picked without replacement from {a: 3, t: 2, c: 1, j: 3, d: 1, b: 9}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 6*p - 5 - p. Let x be -1 + (0 - -1) - -5. Let k be s(x). What is the greatest common divisor of 40 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209347952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(2*sqrt(108)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 80?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (125 - -6) + 11\/(55\/20). Calculate the greatest common divisor of 60 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 - 1.9. What is the second biggest value in h, -1\/5, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/285 (c) -4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + -1*sqrt(2500) + sqrt(2500))\/(sqrt(60)\/(1*sqrt(12))) + (((sqrt(140) - 3*sqrt(140))*-1)\/sqrt(7))**2.\nAnswer: sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/77305 and 41\/6.\nAnswer: 463830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + x + 6, 4*w - 3 = 3*x + 24. Suppose 9*g - 47 + 11 = 0. Solve -g*l - 10 = -w*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.11 and 9.\nAnswer: 162.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -568141755 by -1.\nAnswer: 568141755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 5*u**2 + u**2 - u**2 to the form s + l*u**2 + f*u and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 1033?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 841702 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 14, -4, 5 in ascending order.\nAnswer: -4, -0.03, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*(-2 + (-77)\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/96 and -97\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 46631 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 9. Let j be b(7). Suppose -2*i = -0*i - 704. Is 7 a factor of j\/3 + i\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -9777, 0.5, -0.4.\nAnswer: -9777, -0.5, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 33. Suppose 3*l = -5*i + 4*l + 14, 3*i - l - t = 0. Suppose i*h + 235 = 7*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 3*o**2 + 2*o + 4. Let v be g(-4). Let p be 4\/(-14) + 452\/14. Let s = p + v. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 90, 120, 150, 180, 210?\n\"Answer: 30*p + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 2*n - 6581*n**2 + 6582*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -8753d?\nAnswer: -8753b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a = -190*a + 176295 + 90010. What is the lowest common multiple of a and 964?\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24.5 (b) -10 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 + 67. Let c be (15 - (4 + u)) + 4. Let h(d) = d**3 - 16*d**2 + 2*d - 21. Let g be h(c). Solve 0 = 5*q - 1 + g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6008272 and 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/5515224 and 53\/1664?\nAnswer: 88243584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 3\/4 (b) -2 (c) 0 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -16 + 2. Let s be f\/(-35) + (-42)\/(-10). Suppose 434199 + 489801 = 4*y + 4*u, -s*u - 1155000 = -5*y. Round y to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let z(y) = -y**2 + 7*y + 11. Let j(m) = -4*d(m) + z(m). Let t be j(6). What are the prime factors of 1026\/63 - (-2)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(114)*-1 + 4*(-1*sqrt(114) - sqrt(114)))\/(-1*(sqrt(6) + (sqrt(96)\/sqrt(2))\/sqrt(8))) + 2)**2.\nAnswer: 56*sqrt(19) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6 + 1037759*q + 26 - q**2 - 1037742*q. Determine k(22).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 1177 + 137 = 0. Calculate the remainder when 238 is divided by c.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -52, -1, -10.\nAnswer: -52, -10, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 303 + 3 = 0. Let z = o + 25. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/(-1*2\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088221.4327 rounded to the nearest ten thousand?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a + 6, 9 = 2*y + a. Let t(j) = j**2 - 1. Let v(w) = -3*w**2 + 5. Give y*t(b) + v(b).\nAnswer: 3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 655 + 8?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*o + 40*o - 16*o + 2*o to the form x + j*o and give j.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 369, 554, 739?\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11151534539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - 1041423?\nAnswer: -1041344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46, 85, 120, 151, 178?\n\"Answer: -2*a**2 + 45*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12755723.4 nanoseconds in weeks?\nAnswer: 0.0000000210908125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = 3. Suppose f*r - 3*y = -r - 12, -2*r + 16 = 4*y. Suppose 3*n - 133 + 7 = r. Calculate the greatest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1022760 and 65340.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171842 and 869803?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10171052 to the nearest integer?\nAnswer: 3189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrjjj. Give prob of sequence jrj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -65. Suppose -165228 = s*q + 95772. Round q to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 1312.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 5*m**3 + 3*m**3)*(1 - m - 1) + (3*m**3 + 2*m**3 - 2*m**3)*(85*m - 171*m + 83*m) + 3*m + 2*m - 3*m + m**4.\nAnswer: -7*m**4 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*b - 897 = 0, -892 = -2*h - 6*b + 10*b. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1841 is divided by 914?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317746 is divided by 79400.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 39, 14772 in increasing order.\nAnswer: 0, 39, 14772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 16305*r - 16303*r = 144, 4*f - 138 = 6*r for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -70*h + 72*h. Suppose 0 = -n + 3*f + 31, -14*f + 16 = -h*f. Which is smaller: n or 44?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d + 21*d - 76*d + 33*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-2)\/(-3))*12\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**2 + 5*c - 30. Let v(r) = r**2 - r + 6. Let b(w) = -t(w) - 5*v(w). Let x(g) = 1647*g. What is x(b(p))?\nAnswer: -1647*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14822 + -14815. Suppose n + 3 = -2*n. Let h be ((-4)\/10)\/(n\/35). What is the highest common factor of f and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c + 2*a = 10, 4*a = 5*c - 24. Suppose b + n = -4*n - 3, 0 = c*b - 4*n - 84. Let y = 8 + -2. Calculate the remainder when b is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33121493 rounded to the nearest 10000?\nAnswer: 33120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158.26097 - 158.4. What is j rounded to three decimal places?\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.999351us to minutes.\nAnswer: 0.00000011665585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, a: 1, t: 2, p: 10}. Give prob of picking 1 p and 1 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24388, -25866, -27344?\nAnswer: -28822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5928 from 4.\nAnswer: 5932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/26 - (-84)\/(-182)*-7999?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 21903.967.\nAnswer: -109519.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 255247*f**4 - 1539*f**3 + 12*f**2 + 873250*f + 2 wrt f?\nAnswer: 6125928*f - 9234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 17 = 4*p, 0 = 2*w + w + 3*p - 15. Suppose -3*a = 4*o - 7, -3*o + 29 = 2*o - w*a. Factor 8*q**o + 15*q**2 - 15*q**3 - 3*q - 6*q**3 + q**4.\nAnswer: 3*q*(q - 1)**2*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -333 + 103d?\nAnswer: c0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + -0.13. Let i be ((-15)\/(-10))\/(9\/24). Suppose 1 = -i*m + 5*m. Sort -5, m, g in decreasing order.\nAnswer: m, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 936342699 and 29.\nAnswer: 936342728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3 + 3196*o**2 + 1279992*o + 2547216 = 0. What is o?\nAnswer: -798, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 2*h - 250. Suppose 4*z - h = -5*t, 5*t + 2*z = -z + 55. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2896*s - 2874*s - h + 72 = 0, 0 = -2*s + 2*h + 66 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243*u**3 + 17*u**2 + 319 wrt u.\nAnswer: 729*u**2 + 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118617973.96 + 121220769. Let r = u - 2602356.040582. Let n = r + -439. What is n rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 13. Let w be s\/(-5) + (-14)\/35. Let t = 2 - w. Solve 4*j - n - 2*n + 13 = 0, 2*j + n - 1 = t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -6*l + 2*l + 2*x, 3*l - 2*x = 327. Let q = 148 + -208. Let j = 88 + q. What is the remainder when l is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*a + 5185 + 2991. Let g = a + 515. Let z(b) = b**3 - 3*b**2 - 4*b + 5. Calculate z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbd when three letters picked without replacement from bkdfr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(400) - sqrt(400)*2)*5)\/(-6*sqrt(45)*-3).\nAnswer: -4 - 10*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/24)\/((-20)\/12 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3453, 12628, 27519, 48126, 74449, 106488?\n\"Answer: 2858*c**2 + 601*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2384*t. Let y(q) be the second derivative of -q**4\/6 - 1128*q. What is y(n(v))?\nAnswer: -11366912*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 2:58 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73714 less than 73715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1155 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2 - 2 + (-4*n + n + 2*n)*(-3 + 1 + 0))*(-6381*n**3 + 6381*n**3 - 5874*n**4).\nAnswer: -5874*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 254221 and 27313.\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2110769 to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.804 less than -3?\nAnswer: -5.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733950 is divided by 463?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 0*j - 70 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2602927 - -1620603. Let q = k - -982282.0037. Let l = -42 - q. What is l rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 - (13 + 4 + -63)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -41. Suppose -2 = 4*o - a. Suppose -5*g + 95 = 5*s - 0*s, 0 = o*g - s - 56. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739337642.\nAnswer: 2, 369668821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:00 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = 4*w - 46. Suppose 3*c - 24 = 2*c. Calculate the highest common divisor of c and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -91, 59\/4, 0.4, -3\/5, 6 in ascending order.\nAnswer: -91, -3\/5, 0.4, 3, 6, 59\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 1, t: 2, m: 1}. Give prob of sequence ttx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 21. Let p = 16 + -14. Let b(t) = -5. Determine p*u(f) + 9*b(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/19 - 154678*z**2\/19 - 2989964288*z\/19 + 26922208968\/19.\nAnswer: -2*(z - 9)*(z + 38674)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51bba9 - -68?\nAnswer: -51bb41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -5*t**4\/3 - 128*t**3\/9 - 38*t**2 - 24*t - 1. Suppose d(n) = 0. What is n?\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.3, -9, -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(50) + -2 - (0 + sqrt(17) + 2)*-1.\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-176)\/(-40)*(-5)\/(-2). Solve -4*g = 9 + x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195*c**2 - 5*c - 3*c - 1192*c**2 - c.\nAnswer: 3*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**3 - 3*h**3 + 4*h**3)*(-4 + 1 + 2) - h**3 + 2*h**2 - 2*h**2 + 3*h**3 - 2*h**3 - 7*h**3.\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 6147*l**2 + 12295*l + 18443\/3.\nAnswer: -(l - 18443)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = a + b - 7, 10 = -2*b. Suppose -5*g + 3 = -4*g, 2*c = -5*g + 31. Let s = a - c. Calculate the greatest common factor of 63 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/986*4\/(-3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 79 = a, -2*t + a - 3*a + 80 = 0. Find the second derivative of g**3 + 6*g**3 + t*g**4 - 23*g - 8*g**3 + 4*g wrt g.\nAnswer: 468*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + v = 163, v = 2*v + 2. Let a be (-10)\/(-55) + 5406\/n. Suppose -2*y + 3*b = -a, b + 33 = -3*y + 301. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -23*t - 66. Let a = 4 + -2. Let i be a + (-10 - t\/(-1)). Is i >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 8. Let h be r(-7). Suppose -22 + h = -3*u. Calculate the least common multiple of u and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4301.480725 to the nearest integer.\nAnswer: -4301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24438 or 24445?\nAnswer: 24438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*w = 64934 - 3094, -3*w - 15 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 7. Determine n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6721661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 730 and 9875951.\nAnswer: 98759510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.371177 days to microseconds.\nAnswer: 32069692800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 233, -0.64?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3604375.99999712 + -3604377. Let d = 1 + o. Round d to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-406)\/56 + (-1)\/(-4). Let p = 10 + y. Suppose -4*n - 1 = 3*i + 3, 2*i - n = 12. Sort 0, i, p.\nAnswer: 0, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 2. Let t(a) = -2*a + 1. Let y(o) = -4*t(o) - 3*w(o). What is y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*d = 2, -2*h - 3*h + 3*d + 32 = 0. Let g = -2\/13 + -1\/78. Sort g, h, 2 in decreasing order.\nAnswer: h, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 y when three letters picked without replacement from xcxyxxjccxxxxcxc?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*p + 6 = u, -23 = -5*u + 4*p. Calculate the highest common divisor of u and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 2*w**7\/735 + 2*w**6\/105 - 41*w**5\/105 + 6*w**4\/7 - 576*w**2. Suppose l(c) = 0. What is c?\nAnswer: -9, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/15638 and -32\/5585.\nAnswer: 78190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 637 - 633. Solve -b = 2*n - 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/3 + 160*p**3\/9 - 1024*p**2\/3 + 8192*p\/3 - 1819. Find c, given that v(c) = 0.\nAnswer: 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 5. Calculate the remainder when 147 is divided by y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 65*c**3 + 140*c**2 + 1020*c - 3600.\nAnswer: 5*(c - 6)**2*(c - 5)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8898685305 rounded to two decimal places?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2244, -4, 4, -3, -1, -129 in descending order.\nAnswer: 4, -1, -3, -4, -129, -2244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11740506 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 7*c - 4. Let h be w(-8). Let m be -6*h\/8 - 12. Let i be (-170)\/m - 2\/(-3). Calculate the greatest common factor of 108 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 t, and 1 e when four letters picked without replacement from {e: 3, b: 1, a: 5, t: 4}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 1\/16*v**5 + 0 + 0*v**2 - 5\/48*v**4 + 24*v + 0*v**3. Factor b(r).\nAnswer: 5*r**2*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 - 64*h**2 + 3*h**2 + 35*h**2 + 13*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1681257 and 1419?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -258800261*d**3*h**3 + d**3*h - d**2*h**3 + 7*d**2*h - 25514*d*h**3 - 5*d - 3*h wrt d?\nAnswer: -1552801566*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 114\/(-36)*(-102)\/153. Is d less than or equal to -148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 11:44 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -739.606 and -0.6.\nAnswer: 443.7636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 5, 2, 0.057?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -17.9. What is the third smallest value in 0.3, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 7:41 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/9 + 47864*g**4\/9 - 271524956*g**3\/9 - 179856021712*g**2\/9 - 358897277090*g\/9 - 179312828200\/9 = 0. What is g?\nAnswer: -596, -1, 12265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14292.00008353 + 14292. Round j to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 11883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 7. Let x be k(9). Let m be 0\/(-2)*(-4)\/x. What is the nearest to -1 in m, -0.08, 1\/4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 3\/5 (c) -10 (d) 223 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0 - 2) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1171 + -348. Suppose -2*l + i = 127. Is 58 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3670, 7660, 11980, 16636, 21634, 26980, 32680, 38740?\nAnswer: 45166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d + 0 + 9*d - 1 - 8. Let k(w) = -4 - 5 + 5*w + 3 + 3 + 0*w. Calculate -6*b(j) + 17*k(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1741868*b**2 - 8491*b + 8491. Let k(d) = 1231*d**2 - 6*d + 6. Let q(l) = 8491*k(l) - 6*x(l). Let g(u) = -u**2. Determine q(g(j)).\nAnswer: 1213*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 - 102. Suppose -5*g + 47 = 2*y, -3*y + 26 = 4*g - 27. Calculate the least common multiple of f and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29780 = 5*i - 5*b, -2299 - 9607 = -2*i + b. Is 27 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -5 - (1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 146*i + 1100. Calculate s(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 2 = -2*d - 3*b, -b = -4*d - 3. Suppose -10 = -4*i - 2*h, d = 5*i - h + 3 - 5. Calculate the remainder when 94 is divided by (-3 + i)\/(-2) + 60\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154259268 divided by 51419756\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = 0, -2*p = -4*g - 208 + 56. Suppose -1299*x - p = -1305*x. Let t(d) = d**3 + d**2 - 2. Calculate the least common multiple of x and t(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - 8*r + 8. Let n(v) = v**2 - 3*v + 3. Let l(c) = -c**3 + 3*c**2 + c. Let p be l(3). Suppose -p*t - 2 = -26. What is t*n(i) - 3*o(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*t = -2*t - 44, 0 = t - 5. Let u be (-2)\/(-3) - j\/(-153). Let d be (-1)\/(-5) - 8\/(-10). Which is greater: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s - 10*s - 12. Suppose -4*c + 324 = -s*d, -c + 4*d - 13 + 94 = 0. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 112 - 8*l**2 - 112. Let q(j) be the second derivative of 2*j**3 - 2*j. What is q(x(s))?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16023 less than 16026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*p - 87*p - 3 = 0. What is the second smallest value in 0, -0.4, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/9*h**4 - 206116\/9*h**2 + 1816\/9*h**3 + 0 + 0*h = 0. Calculate h.\nAnswer: 0, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 162 = f + 167, 0 = -3*f + 9*h - 3 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 5)*2\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -32 - (-6 - -54).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 462.7411 to one decimal place.\nAnswer: 462.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*z + 3*t, 2*t - 5 - 12 = -5*z. Let o be (-21)\/9 - (z\/9)\/(-1). List the prime factors of o\/((-1)\/(-5) + (-228)\/940).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 24. Let r be 4\/(8\/6) - f. Suppose -11 = -a + 5*p, 4*a - r*p - 44 = -p. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*s + 329. Let f = 184 + -175. What is the smallest common multiple of f and 2\/(-5) + s\/(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from fyffgffgg?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 12*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*l + 6*l - 56 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2199 + 2198.4. Let y = -75 - -527\/7. Put -0.5, y, f in descending order.\nAnswer: y, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5266, -4869, -4192, -3223, -1950, -361, 1556?\n\"Answer: 2*x**3 + 128*x**2 - x - 5395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -10.76. Let v = -0.43 - m. Let b = 0.09 + v. What is the nearest to -0.2 in -1\/7, -0.5, b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.1267l in millilitres?\nAnswer: 30126.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -27*c - 57. Is z(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 15*g**2 + 1. Let h be d(-1). Let l(c) = -1754*c - 1734. Let x be l(-1). Solve -h*m = -12*m + x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - 300?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*l**5 + 1886*l**4 - 26*l**3 - 62936*l**2 + 12*l?\nAnswer: 1260*l**2 + 45264*l - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1964 - 626 - 385 + (0 - 2 + 3)*(2 + 3 - 4))*(3 - 1 - 1)*(-5 + 3 + 3)*(h + 2*h**2 - h) as d + i*h + f*h**2 and give f.\nAnswer: 1908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8334560 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 79*y**4\/4 + 5*y**2\/2 - 4*y - 10. Does 16 divide j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*b*s**2 + 5*a**2*b*u - 3*a**2*s**2*u + 97*a*b*s*u + a*b*u - b*s + 102*s**2*u wrt s?\nAnswer: 4*a**2*b - 6*a**2*u + 204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43560.81m in kilometers?\nAnswer: 43.56081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/54 + (0 - (-3)\/9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n - 2. Let g(u) = u**3. Let q(v) = -g(v) - k(v). Let c be q(3). Which is greater: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - x = -a + 142, 2*a - 15 = -0 - 7 for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + c**3 - 2*c**3)*(42 - 2*c + 104 + 369).\nAnswer: 2*c**4 - 515*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19424 is divided by 480.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/31 - -380\/713. Calculate the common denominator of -21\/4 and r.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 9\/19 (c) 6\/7 (d) 3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 4*s**2 - s**2)*(2 - 5 + 5 + (-3 - 2 + 4)*(2 + 4 - 4) + 0 + 0 + 1 + (4 - 1 - 1)*(-5 + 0 + 3)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -6. Let u be (-10)\/15 - (-42)\/b. Find the third derivative of 4*i**u + 7*i**2 + 4*i**4 - 2*i**4 wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -25. Let c(h) = h**3 + 15*h**2 - 4*h + 5. Is c(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Let p = -1\/1034 + -2063\/5170. Let l = 1.55 - 0.55. Which is the second biggest value? (a) p (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195.2 + -194.7. Which is the second smallest value? (a) g (b) -5 (c) -0.1 (d) -1\/4 (e) -1.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178830 and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.28497, 945\/4, 0.4 in increasing order.\nAnswer: 0.28497, 0.4, 945\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004067 rounded to six dps?\nAnswer: -0.000407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3 = -2*m - d, -2*m = -5*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l**2*u + 11*l**2 + 2*l*u - 68*l - 13342786*u wrt l.\nAnswer: -6*l*u + 22*l + 2*u - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 525151 - 525153.796065. Let d = -0.203795 + b. Let l = -3 - d. What is l rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -d, 2169 = -4*o - 3*d + 2188 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 17 = -5*w - 0, -3*f = -3. Suppose -2*u - 272 = -5*x, -u - 220 = -w*x - x. What is the greatest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*t - 4 = 0, 6*t - 2*t + 2 = 2*l. Solve y + l = 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2. Let a(m) = 74520*m - 138. Let r(y) = -8599*y + 16. Let q(i) = -8*a(i) - 69*r(i). Give o(q(p)).\nAnswer: -16006482*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 21*r - 20. Let c be f(3). Let k = -40 + c. Suppose 5 = -2*x + 1, -l + 127 = k*x. List the prime factors of l.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 1:53 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -615628, -1231311, -1846994, -2462677?\n\"Answer: -615683*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 o when four letters picked without replacement from {o: 3, b: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*n**3 - 10 - 20*n**3 - 3*n + 0 in the form s + o*n**3 + b*n**2 + z*n and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 6 - (5 - 27 - -25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*f**3 - f + 6*f**3 + f**4 + 23 - f**2 - f + 13*f**3 as l*f**4 + y*f**3 + r + u*f**2 + p*f and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1*k**(7\/3)*k\/(k*(k**2*k)\/k)*k\/k**6*k assuming k is positive.\nAnswer: k**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 653685.6 years in decades?\nAnswer: 65368.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 5, 9\/79, -8, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 0 - (-3 - -1 - (4 - 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0*y**3 - 2*y**2 + 0 + 1\/20*y**5 + 4*y + 0*y**4. What is the derivative of n(b) wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19119 - -56906. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 + 211. Solve -x + h + 0 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14406762, 14406757, 14406752, 14406747, 14406742, 14406737?\nAnswer: 14406732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -2227*j**5\/5 - j**4\/6 - 20*j**3\/3 - j**2 + 5601*j - 1. Find the third derivative of i(k) wrt k.\nAnswer: -53448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 3 + 5*j - j**2 - j**3 - j - j**2. Let z be p(-6). Let u = -96 + z. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1920\/(-32))\/((408\/(-12))\/(-17))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -18*v. Let w(s) = -s. Let o be (30\/9)\/(8\/12). Let j(r) = 4*r. Let u(q) = o*w(q) + j(q). Determine u(k(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*d + 19, 10 = -2*d - 0*n + 2*n. What is the remainder when ((-28)\/(-3))\/(17\/(-6) + 3) is divided by (-118)\/(-6) + d\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8235\/63 + 4\/14. Let k = 219 - n. Suppose 2*c + 4*d - 34 = 0, 14 = 4*c - 5*d - 15. What is the greatest common factor of k and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -30. Let b = 17 - p. Let r be (-1)\/(-2)*0 - -6. Is r > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -38 (b) 39 (c) -13.6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*m + 5. Let l be 2\/(6 - 3 - m). Suppose -l*r + 45 = 3*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*k - 15 - 29 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 + 4384480*r - 13153404 = 0. What is r?\nAnswer: 3, 1096117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -393*o + 241*o. Let l(m) = 10*m**3 + 2*m**2. Let z(r) = r**3. Determine o*l(n) + 3*z(n).\nAnswer: -7*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-76034)\/(-77)*-1 - (4 - 2). Let k = 988 + h. Calculate the common denominator of k and 11\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g**4 - 15*g**3 - 35*g**2 + 15*g + 10 = 0. What is g?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Let m(q) be the second derivative of -1\/42*q**4 + q - 1\/35*q**6 - 3\/70*q**i + 0 + 0*q**3 + 0*q**2 - 1\/147*q**7. Let m(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3157 and 7546.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/14)\/((-12)\/(-56)). Suppose 10 - 2 = o + y, 2*o = 5*y - z. Let c = o + 2. What is the least common multiple of 22 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-98)\/14 - 36\/(-5)). Solve 4*k + 36 - 4 = -x*a, a + 16 = -4*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7938382 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 - d**3)*(5*d + d - 4*d) + (-4*d**3 + 0*d**3 - 4*d**3 + (-2*d**2 - 3*d**2 + 6*d**2)*(-2*d + 2*d + 3*d))*(-97 + 97 - 20*d).\nAnswer: 98*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 - (-41 - (-74 + 35)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -137*b**5 + 85*b**5 - 254*b**5 + (b**2 + 3*b - 3*b)*(4*b**3 + 0*b**3 - 6*b**3) + 2 - 3*b**5 - 2 - 5*b**5 + 4 - 4.\nAnswer: -316*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121586 is divided by 538?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1023*x**3 + 14*x**2 + 76*x - 35681155 wrt x?\nAnswer: 3069*x**2 + 28*x + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1 - 12 - 5*l + 3 - 3. Let q(a) = -12*a - 22. Let p(b) = 4*q(b) - 9*v(b). Let y(s) = -s + 4. Give 6*p(u) - 17*y(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.584381 litres in millilitres?\nAnswer: 3584.381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 1, d: 11}. Give prob of sequence ffdk.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -409 and 2.671775.\nAnswer: -1092.755975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9964*b**3*i*r**3 - b**3 - 7*b**2*i + 8564*b*i*r**3 - 6*b + 8*i*r**3 + r**3 wrt b?\nAnswer: 59784*b*i*r**3 - 6*b - 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o = -47*o + 325 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 234217750?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r - 723 + 7*r**3 + 715 + 4*r + (-2*r**2 - 2*r**2 + 6*r**2)*(-r - 2*r + 4*r) + 0*r**3 - r**3 + 0*r + r.\nAnswer: 8*r**3 - r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12613 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -1. Let r = j - -22. Suppose -2*t - 11 + r = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 291273 from -220868295.1.\nAnswer: -221159568.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 12 + 11 - 20\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 5, -5 in descending order.\nAnswer: 5, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74610*o**3 - 444*o**4 + 74610*o**3)*(-3 + 3 + 2*o).\nAnswer: -888*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - t - 15, s - 6 = t - 3*t. Solve 0 = -f - q - 2, -4 = 3*f + s*q - 2*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*i + 25, 0 = 4*i - 92 + 104. Solve 4*p - 3 = 3*p + z*u, 15 = 5*p - 2*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/(-7) + (-2)\/70*-10. Sort 41, -1.2, f in ascending order.\nAnswer: -1.2, f, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -212 - -2754\/13. Which is the second biggest value? (a) -0.022 (b) o (c) 2\/11 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 0. Let t be (-2 + 4)*1\/2. Let m be (2 + 6)\/t + -1. What is the highest common factor of m and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.985 - -1.485. What is the second smallest value in -1, a, 4\/5, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6288060 is divided by 3143854.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 16. Suppose 42 + 13 = t*o. Let u(a) = -a**3 - 2*a**2 + 3*a + 4. Calculate the remainder when o is divided by u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - w = 4104, 0 = -3*v + 5*w + 4092. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -63. Let b = 4 + -3. What is the second smallest value in a, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, o: 5, g: 4}. What is prob of sequence oyyg?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27858, -27858, -27856, -27852, -27846, -27838, -27828?\n\"Answer: t**2 - 3*t - 27856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + -9.5. Let n = w - -14. Let s = 2 - n. Is 2\/5 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -14504.4 and 3951.8.\nAnswer: -10552.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1539) - (sqrt(1539) + -5*sqrt(1539)*-3 - sqrt(1539))**2) + 4*-1*sqrt(1539) + (1 + 6*(sqrt(1539)*-1 - sqrt(1539)) + sqrt(1539) + 2)**2).\nAnswer: -640188 - 2484*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.36766 to 1 decimal place.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*k - 4*x - 10, -3*x = 4*k - 18. Suppose 3*n = n + 5*z + 36, -k*z + 6 = 0. Let i(u) = n + 0*u**2 + u**2 + 5*u - u - 22. Determine i(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136876?\nAnswer: 2, 19, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/12 - (-100)\/(-12). Let j = -7 - f. Let u(y) = -j*y**2 - 8 + 3 - 8*y + y**2. What is u(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 438120 and 90.\nAnswer: 438120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -8. Let o be -2*1\/k*-10. Let p(b) = b - 3. Calculate p(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 7\/30*k**5 + 0*k + 5\/12*k**4 + 0 - 8*k**2 - 2\/3*k**3. Suppose v(o) = 0. What is o?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95876.31231 + 95877. Round y to two dps.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/63)\/((-3)\/12).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 4*q - 8 + 0 = 7*k - 4, -q = -4*k + 26 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71799229 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -41660 divided by -5?\nAnswer: 8332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202.6 - 223. Let d = 20.4000299 + r. What is d rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4110?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/12 - 13*r**4\/24 + r**3\/6 - 3*r**2. What is the second derivative of s(x) wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - (-4 + 4 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 i when three letters picked without replacement from {q: 3, h: 1, z: 1, i: 7, r: 2}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392570 and 2960?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 14*o**2 - 11*o + 16. Let c(g) = 17*g**2 - 11*g + 17. Let w(a) = 5*c(a) - 6*d(a). Calculate w(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1)\/(11\/(-792)*-8*1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l - 4. Suppose -5*n - 45 = -5*h, -4*h = -n - 29 + 2. Let r(j) = 2 - 6 - 2*j + 3. Determine h*w(a) - 22*r(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -460857, -919830, -1378803, -1837776, -2296749, -2755722?\n\"Answer: -458973*m - 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 0, 5, -1, 3 in descending order.\nAnswer: 31, 5, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 3*b**2 - 4*b**2 - 2*b**2 + 0 + 0 + (-4*b + 5*b + 0*b)*(-5*b + 3*b + 4*b) - 3*b**2 + b**2 + 4*b**2 - 86*b**2 + 185*b**2 - 57*b**2.\nAnswer: 43*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1323155 (base 6) to base 16\nAnswer: -11e4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a - 2*a)*(6 - 4 - 1)*(0 + a**2 + 0 + (-2*a + 3*a + 0*a)*(-a - 2 + 2) + 2*a**2 + 0*a**2 - 4*a**2).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2113 - 1491. Let m = 1423 + w. Let v = -370 + m. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 9*w**5 - 173289*w**4 + 749129643*w**3 + 818433084933*w**2 + 200611806365880*w - 66961566874800 = 0.\nAnswer: -468, 1\/3, 10095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t**3 - 1133*t**3 + 11*t**3.\nAnswer: -1154*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -266. Is x a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.1. Let s be 12\/(-30) - 27\/(-5). Put h, 3, s in increasing order.\nAnswer: h, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 0 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 2364564.\nAnswer: 153696660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, 6, 5, 4, -0.006, -0.4.\nAnswer: -101, -0.4, -0.006, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*10*(-4)\/(-10)*1. Solve -3*a + 6 = 0, 2*a - 16 = -4*k + s*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 10*s + 7242 = 142*s - 16*s for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 318\/1729 - 4\/133. Suppose 3*q = 6 + 3. Suppose -12 = -6*i + q*i. What is the closest to 0 in -5, c, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(70\/(-119)) - -3. What is the fourth biggest value in q, 2\/11, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4) + 1\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 9717994477?\nAnswer: -9717994480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 154.45461 and 0.3.\nAnswer: 46.336383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = 1050 - 1014 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 9:01 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 225*u + 222 with respect to u.\nAnswer: 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -3602\/99 and -35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 10363cca?\nAnswer: 10363cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**2 + 58*o**2 - 978*o - 47*o**2 + 521896 + 286305 - 820*o.\nAnswer: (o - 899)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456 a factor of 14635304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -415688\/125 > -3325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(10\/7)*m)))\/m**7*m**(-2\/29)*m**(-7\/2)\/m assuming m is positive.\nAnswer: m**(-3305\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 1 + 0 + sqrt(33)\/sqrt(3) + 4.\nAnswer: 5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Suppose c = -s - 3*s + 100. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28*546\/(-17836))\/(-2 + 13\/5)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 8*a**2 - 9*a - 2. What is the least common multiple of n(-7) and (-48)\/64 - 171*(-3)\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, -4, 0.06, -12.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + 0.1. Let c = -41.025 + 0.025. Let u = c - -37. What is the third biggest value in q, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*r = 6, 3*b - 6 = 5*r + 4. Suppose -10 = -5*p - b*p. Solve -1 = -n - p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2, -0.4, -2\/17, 1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968436941?\nAnswer: 968436941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -2) + (-208)\/(-8). Calculate the highest common divisor of 39 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9795*u - 8337*u = -75816 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + 2 - (154 - 164)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5*a + 25, 0*o + a + 5 = -3*o. Let u = o - 0. Let b(s) = -39*s - 24. Let w be b(-1). Solve -3*t + u + w = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*2*-11. Let b(o) = 24*o - 141. Let p be b(6). Solve -2*q - 9 = -2*h - q, -q + k = p*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:43 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/21)\/((-6)\/(-21)). Let o(g) = 0*g - 4 - 4 + 4*g + 11*g**l - g - 1310*g**3. Let r be o(8). Round r to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(1 - 0) + ((-620)\/(-31) - -5). What is the greatest common divisor of 2231 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*u + 4*u - 2*s, -15 = -5*s. Suppose -u = 5*t - 4*h, 5*h + 1 = -14. Which is the closest to 0? (a) 0.3 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (672\/280 + 539\/(-210))\/(-4)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*(1 + -3). What is the units digit of ((-18)\/(-7))\/w*14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 2071076*m**3 + 4*m**2.\nAnswer: 2071076*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 186*c**2 - 5*c + 7. Let j be z(2). What is the highest common divisor of 57 and j?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(20\/(-8))\/1. Suppose -d*t - f = -3*f - 21, 4*f = -5*t + 33. Solve t*r - r - 20 = 0, -4*r + 29 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-59)\/7 - 3\/(-7). What is the remainder when (44 - -2)*(-4)\/s is divided by 52\/(-6)*12\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5312*y**3 + 992*y**2 - 2 wrt y?\nAnswer: 31872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = u, -3*u - 4*g - 2 = -0. Let z(h) = -h**3 - 7*h**2 - 10*h + 2. Is 13 a factor of z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3630*d*f**3 - 256*d*f**2 - 82*d*f - 60117*f wrt f.\nAnswer: 21780*d*f - 512*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18845763?\nAnswer: 3, 23, 273127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.1, 5, -3 in descending order.\nAnswer: 5, 1.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/3 - -1)*-18. Suppose -3*m = r - 0*r - 85, 4*m + r - 112 = 0. Let i = 31 - m. What is the highest common factor of i and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - ((20 - 19) + (0 - -2))) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -2. Suppose -2*b - 325 = -337. Calculate the highest common factor of m and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.204 (b) 3\/7 (c) 7 (d) 0.4 (e) 0.3 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36426880?\nAnswer: 2, 5, 7, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 195, 771, 1729, 3069, 4791, 6895?\n\"Answer: 191*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 20 - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2196*o**4 + 2*o - 21910.\nAnswer: 8784*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19773\/5 + 4016. Let o = -61 + p. Factor o*a**5 - 7\/5*a**4 + 9\/5*a**3 - a**2 + 0 + 1\/5*a.\nAnswer: a*(a - 1)**3*(2*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111.0074 - 683.5636. Let d = c + 795. Round d to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 467\/386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -76.473 and 14365?\nAnswer: 14441.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7921.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 134693, 269181, 403633, 538031, 672357, 806593, 940721?\n\"Answer: -3*y**3 + 134509*y + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13215?\nAnswer: 3, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1653636 (base 13) in base 14?\nAnswer: -d57a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -10, -0.03, 0.1641?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 19 - 7. Suppose 0 = c, 3*f + b*c + 0*c = 0. Suppose f = 4*g - 30 - 2. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -268 - -1073\/4. What is the third smallest value in 0.09, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 4, 14854, -3, 1 in decreasing order.\nAnswer: 14854, 4, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**2 + 718*g + 388. Determine f(91).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 8*d + 6. Let c(q) = 10*q + 1. Let n be c(-1). Let z be j(n). Let b = z + 6. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111036 is divided by 677.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 5*a**2 + 774*a - 864*a + 4 = 0. What is a?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 5, -1 in ascending order.\nAnswer: -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-4 - (-6 - -1)) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1737)\/(-15) - (2*-1)\/10. Let m = y - 64. Suppose 4*v - 7*l = -4*l + m, v - 3*l - 22 = 0. Solve 5*x + 5*z = v, -4*x + 8 = x + 4*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 minus 38156.1?\nAnswer: -38327.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*f + 8 = -13, -5*g = 5*f + 20. Let r be (0 - -19*g) + -2. Suppose w + 5*o + 12 = -2*w, -5*o = -2*w + r. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + 3 - (-726 + 677 - (-34 - -2))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163*j**4 + 3*j**3 + 2734*j**2 wrt j.\nAnswer: 3912*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*o - 159, j + 0*j - 129 = -4*o. Let m(u) = -5*u - 22. Let k be m(14). Let t = j + k. Calculate the remainder when t is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 126*o**2 - 277*o - 1029. Let a(l) = 32*l**2 - 68*l - 257. Let v(x) = -9*a(x) + 2*k(x). What is the derivative of v(b) wrt b?\nAnswer: -72*b + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1169 + 1199. Calculate the lowest common multiple of p and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, j: 1, e: 4, i: 1, k: 9}. Give prob of picking 1 m, 1 i, and 1 j.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 252*q**2 - 3948*q + 8928.\nAnswer: -3*(q - 2)*(q + 24)*(q + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**2 + 4*o - 4. Let z(v) = -16*v**2 + 12*v - 11. Suppose 5*t = t + 44. Let x(b) = t*k(b) - 4*z(b). Find the second derivative of x(q) wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113.3 - -883.3. Let t = n + -429. Let g = -341.0000294 + t. What is g rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-12)*(-6 + 0). Let f be 4\/h + -2 - 1. What is the remainder when (68 - f)*2\/6 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -173, -171, -153, -113?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*d**2 + 42\/5*d - 324\/5.\nAnswer: 2*(d - 6)*(d + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**2 + 2*v - 1. Let k(q) = -5*q**2 + q - 1. Let i(r) = -5*k(r) + 3*l(r). Determine i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6220*b**4 + 13930?\nAnswer: 24880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 0, 3, -3.\nAnswer: -4, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -360*(45\/(-20) - 0). Suppose 0*d = 5*d - j. Let u = -11 + 29. Calculate the highest common divisor of u and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -573, -569, -565, -561, -557, -553?\n\"Answer: 4*r - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2585.1657us?\nAnswer: 0.000043086095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*l**3 + 8*l**2 - 111*l + 176681?\nAnswer: 33*l**2 + 16*l - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 54*a - 345. Let x be y(-46). What is the units digit of x\/8 - 4\/(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v - 18. Let k be w(6). Solve k*z = 3*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21b06 (base 12) to base 5\nAnswer: 2413130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 98 + 57. Suppose -5*m + 3*i - 6 - 12 = 0, -2*i = 3*m + 26. Let p = m + t. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 11. Let f = p + 55. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((11 - -488036) + 3)*-4. What is v rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2 - 239*i - 37. Give b(-59).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103613*l - 2035 = -103668*l for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1455 + -829. Let t = 626.4865 - k. Round t to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4558, 9176, 13794, 18412, 23030, 27648?\n\"Answer: 4618*o - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -717, -3085, -7031, -12555, -19657, -28337, -38595?\nAnswer: -50431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + z**2 + 0*z**2 + (-6 + 15 + 11)*(0*z + 2*z - 4*z)*(0*z + z + 5 - 2)*(-22 + 7 - 20) in the form j*z + p + r*z**2 and give j.\nAnswer: 4200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/12 + 55*u**3\/12.\nAnswer: -u**3*(u - 55)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -21. Let v = -15 + j. What is the third biggest value in v, 5, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 454, 524, 586, 640, 686?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30341986440 plus 260?\nAnswer: 30341986700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59175989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 26*g**2 + 10*g - 232. Let h be p(26). Solve -53*i = 237 + h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 6*c**2 - 2. Let t(x) = 2*x**3 - 11*x**2 - 5. Determine 6*t(j) - 11*z(j).\nAnswer: j**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 2. Let g = 10 - 8. Determine h(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-36)*-3*9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -5 + -3 - -18) + -28\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from qhhhqhnqn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1100) - (0 + sqrt(1100)))**2 + -1 + ((2*sqrt(330))\/sqrt(10) - sqrt(33))\/(sqrt(147) + sqrt(147)*-1 + sqrt(147)).\nAnswer: sqrt(11)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001597258 rounded to seven dps?\nAnswer: -0.0001597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 4*d + 25, -12*d + 8*d = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -7. Factor 4*h**4 - h**5 - v*h**3 + 2*h**4 + 2*h**2 - 2*h**4.\nAnswer: -h**2*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 2*l + 2*l)*(3 - 5 - 1)*(-8*l + 10 - 10).\nAnswer: 96*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 408 + -406. Let s(q) = -39 + 0*q**l + q**2 + 29. Let u(r) = -3*r**2. Calculate u(s(k)).\nAnswer: -3*k**4 + 60*k**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658514.\nAnswer: 2, 329257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = 4*v - 23*h - 144, -5*h = 2*v - 96. What is the lowest common multiple of 3 and v?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.085 times -585\nAnswer: 49.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*i + 3*m - 65 = -2*m, -2*i + 113*i = 4*m - 8317 for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (3 - -1) - -72. Let q = y + -20. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/153 and 145\/9458472.\nAnswer: 482382072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -223988 + 671960\/3. Suppose -3*o + 26 = 4*w, 5 = w - 0. Let g = 1 + 1. Which is the nearest to g? (a) o (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 2626 = 1762 - 244 for q.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.8 and 0.5.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 108*x**2 + 2*x + 2. Let d be t(-1). Let f = 188 - d. What is the remainder when f is divided by -6 + 10 + (1 - -22)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0*x**2 + 0*x**4 - 1\/30*x**6 - 3\/40*x**5 + 9*x + 0 + 1\/12*x**3. Factor q(d).\nAnswer: -d*(d + 1)**2*(2*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427.0467 rounded to the nearest 10?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 8*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2 + 2 + 2*z**2) + 2 - 2 - z**2 - 146*z**2 - 192*z**2 + 270*z**2.\nAnswer: -71*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1377)*2)**2 + (1*sqrt(17) + -3 - (-1 + sqrt(425))).\nAnswer: -76*sqrt(17) + 5510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 368019808 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvyavvvjfffvfyfff. Give prob of sequence fjf.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139.5 + -139. Let u = -15.6 - -16. Which is the nearest to -1\/3? (a) s (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.043 and 2?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 17*z - 80. Let s be g(5). Find the third derivative of 2 - 4*p + 29*p**5 - 10*p**2 + 1 - 21*p**s - 3 wrt p.\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -185324\/89 or -2081?\nAnswer: -2081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80\/25 - (24\/(-10))\/(-2). Suppose 5*t + 60 = -255. Let r be t\/(-7) - (0 + 1). Solve r*z - l - 17 = 3*z, 0 = -z + 2*l - x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9))**13)**(-9) assuming m is positive.\nAnswer: m**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 64 + 25 - 66*u + 65.\nAnswer: -66*u + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(114) + (sqrt(114) - (4*sqrt(114)*-1 + sqrt(114))))*6)\/((sqrt(24) + (sqrt(192)*2)\/sqrt(8))\/(sqrt(8)\/sqrt(2)*4)))**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0266694 to 3 decimal places.\nAnswer: 2.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1970185 and 385.\nAnswer: 21672035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18866 or 18870?\nAnswer: 18870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8872 + -0.887195941. What is v rounded to seven decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -8?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 3*n + 2*l, 6*n - n - 4*l - 330 = 0. What is the smallest common multiple of 20 and n?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**4*m + 4*k**4 + 16*k**3*m + 5*k + 162*m wrt k?\nAnswer: 36*k**2*m + 48*k**2 + 96*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -3*g + 13*y - 2*y, 0 = 4*g - 5*y + 54 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307494 is divided by 3171.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -544*n**2 - 5*n. Let f be z(1). Is -2193\/4 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.167 * 0.4.\nAnswer: 0.0668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31896591 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539416 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(3 + sqrt(176)) - (2*sqrt(176) + 5)) + (-3 + sqrt(176))*5 + (2 + sqrt(176))*-5)**2.\nAnswer: 2520*sqrt(11) + 10649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794339 - 0.01?\nAnswer: 2794338.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311146.\nAnswer: 2, 11, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 16 = -3*s. Suppose s*f = -5*c + 14055, 0 = 4*c - 6*c + 2*f + 5622. Is c 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 {q: 7, c: 7}. What is prob of sequence ccqc?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -1.1836?\nAnswer: 0.8836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let z(p) = p. What is 10*u(t) - 6*z(t)?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12054)\/196*((-27)\/243)\/(((-4)\/(-4))\/(-12))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1571343?\nAnswer: 3, 359, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-291 - 1102 + 429)*(2*g - g**2 - 2*g).\nAnswer: 964*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43504 + -43440. Suppose -6*w - z + 323 = -2*w, 5*w + 5*z - 415 = 0. What is the greatest common divisor of c and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5 + 6. Suppose 2*m = -c*m. Solve m = t + 3 - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 + -3)*2\/6. Let z(x) = x + x**2 - s + x + 5. What is the remainder when z(-2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*o + 6 = 0, -10*z = -14*z - 4*o + 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*h**2 - 134*h - 7*h**2 + 94 + 134*h wrt h.\nAnswer: -52*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 14*o**2 + 1998*o - 824. Let z(p) = -43*p**2 - 5993*p + 2468. Let u(h) = -17*k(h) - 6*z(h). Factor u(v).\nAnswer: 4*(v + 100)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112957897667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 8375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 8. Suppose 5*n - 155 + 140 = 0. Solve 6*q = 2*q - n*t + 7, 0 = t - y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16712, 16713, 16714, 16715?\nAnswer: 16716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 + 4754*w**2 + 17945*w - 45461. What is m(-947)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139*2564.14.\nAnswer: 356415.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12051 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2606*z**4 + 24*z**2 - 24*z + 2509. Let j(a) = -869*a**4 + 9*a**2 - 9*a + 836. Let k(b) = -8*j(b) + 3*m(b). Find the first derivative of k(o) wrt o.\nAnswer: -3464*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 167 in -1, 15, -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67894, 67901, 67910, 67921, 67934?\nAnswer: 67949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*q - 2 = -74*q. Suppose -q*w - 888 = -4*w. List the prime factors of w.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1213 = 2*v - 9985. Suppose 7*f - v = f. Suppose 0 = 5*o + a - f, -163 = o - 2*o + 4*a. Does 41 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -5, 2 in ascending order.\nAnswer: -5, -3, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -122152 (base 6) to base 5\nAnswer: -321433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5206 and 13\/52060?\nAnswer: 52060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148*j**3 + 13*j**2 + 8770*j + 363559280.\nAnswer: 444*j**2 + 26*j + 8770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10.8 or -2\/283?\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -242.277226?\nAnswer: 2.42277226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 27*d + 190. Calculate y(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3 - 27. Let u be ((-4)\/14)\/((9 + -4)\/(-35)). Let g be (-252)\/i - u\/(-4). Solve 4*m + 5 + g = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 60\/7*p**2 + 22\/21*p**3 - 206*p + 1\/21*p**4 + 1. What is d in k(d) = 0?\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23042487 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631 = 3*c + 2398. Let i = -398 - c. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**4 - 3*r**4 + 2*r**4)*(0 - 2 - 1) + 41*r - 1026*r**4 + 3*r**3 + 1028*r**4 + 2*r**2 - 8 + 24 to o*r**4 + p*r**3 + a*r**2 + z*r + b and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.08 - -26.09991. Let y = 4 - 3.98. Let u = y - l. Round u to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/1956?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 12 + 6 - k)*(-242 - 779 + 347).\nAnswer: 674*k + 2022","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10107*y + 20 = -10109*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffffffffffrfff. What is prob of picking 2 f?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 28 - 2. Sort w, 0, 27, -4.\nAnswer: -4, 0, w, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510179 is divided by 65.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 2*b = -14*l + 214, -l - b + 101 = 0. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40529594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (22 + -9) - (-13 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) -74 (c) -4 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222794*m**2 + 110730*m**2 + 111431*m**2.\nAnswer: -633*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -357038*b**2*l + b**2 - 1621*l + 556 with respect to b.\nAnswer: -714076*b*l + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 3*g**3 + 0*g**3 + (-294*g**2 - 133*g**2 + 17*g**2)*(-2*g - g + 4*g)*(0 + 3 - 2).\nAnswer: -408*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29 and -869.91.\nAnswer: -840.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-14))\/(10644\/428421).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o**3 + 6*o - 5. Suppose 0 = 2*f + 2, -2*f + f = -2*c + 5. Let z be -2*((-1)\/2 + c). Let u(g) = -5*g**3 + 5*g - 4. What is z*p(h) + 4*u(h)?\nAnswer: -2*h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65578 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = j - 20 + 3, -5*j - 4*q + 22 = 0. Suppose -3*t = -3*r + 144, 0 = j*t + 5 - 11. What is the lowest common multiple of r and 24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.056 and -0.0052?\nAnswer: -0.0002912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 315818 divided by -2?\nAnswer: -157909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*l - 2492 - 98 = 1438 + 452 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 2.55965\nAnswer: -0.51193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*k, -2*r - k + 4 = -0*k. Solve -9 = -r*b + 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Let k = 82 - -14. Suppose -6*g + 2*g + k = 0. Solve a*j - g = u + u, -j = 3*u + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a14 + -4?\nAnswer: 3a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:05 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 + -26. Let q = h - 125. What is the closest to -2 in 5, -2\/3, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 6*p - 7. Let z be m(-6). Let t(w) = w**2 + 8*w - 1. Let k be t(z). Let l(f) = -f**3 - 9*f**2 - 6*f + 10. Calculate l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/(-6))\/((-6)\/36). Suppose m = b + 3. Calculate the greatest common factor of b and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 877 or -3?\nAnswer: 877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 4:56 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4 + 0*j + 10*j**2 - 4*j + 4*j - j**3. Let w be r(10). Do w and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -x, -x = 4*w - 0*x - 75. Suppose o = -0*o + w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -92\/4548367?\nAnswer: -92\/4548367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:11 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7589954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*j - 50 = -7, 0*j - 5 = -13*m + 5*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + (-4 - -1) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1927502, 3855030, 5782586, 7710170, 9637782?\nAnswer: 11565422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let f(k) = 15*k**2 - 5*k. Calculate f(l(c)).\nAnswer: 15*c**4 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-v + 4*v + v + 0*v - v + 0*v + (0 + 0 + 2)*(-v + 2*v + v))*(3 - 2 - 2).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 28 = -4*i, 4*h + 76 = -i + 6*i. What is the derivative of -21*s**4 + i + 29 - 14 wrt s?\nAnswer: -84*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + (-36 - -35).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 2\/11, -3.7, 1\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 114*r + 350*r**2 - 114*r - 351*r**2. Let c(h) = 598*h. Calculate c(d(v)).\nAnswer: -598*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 21. Let b be d(-15). Calculate the highest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3087*j + 593. What is the hundreds digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -1002c?\nAnswer: -10034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4\/4 + 13*n**3\/4 + 2*n**2.\nAnswer: n**2*(n + 1)*(5*n + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0*i**3 - 7\/24*i**4 + 0*i + 222*i**2 + 0. Let u(h) = 27*h. Give k(u(x)).\nAnswer: -189*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b2e + -7c3?\nAnswer: -32f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149.8 + -132. Let p = -24.8 + f. Which is the closest to -1? (a) 0 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**3\/6 - s. Let c be ((-10)\/(-4))\/(1\/2). Let g(b) = 191 + 193 - 584 + 199 - 4*b. Give c*j(h) + g(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*m + 14 + 73, 2*m = -2*j + 72. What is the remainder when 91 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 40279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*o**2 - 201*o**2 - 21*o**2)*(5 + 4*o - 5)*(-7*o + 3*o + 2*o).\nAnswer: 1504*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-1475))\/(((-24)\/48)\/(45\/(-18))).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -27524554.\nAnswer: -27524555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 45 = 4*r + 5*n, 3*r = -5*n + 11. What is the second derivative of 5*c**r + 33*c**2 + 29*c - 85*c wrt c?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4642143 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*4\/(-16)*4. Let n(c) = c. Let y(p) = 3*p + 1. Let o(k) = 3*n(k) - 3*y(k). Calculate o(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 10*n**2 + 8*n + 20. Let b be t(7). Let i = b + 83. What is the greatest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11985.\nAnswer: 3, 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3982.7ug to kilograms.\nAnswer: 0.0000039827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 2*j + 8. What is y(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 - 22 - 4)*(-p + 0*p + 10*p) to the form a + t*p and give t.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11376 divided by -6\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g + 8*g + 16*g)*(3*g - 3*g - g**3) - 2*g**4 + 3*g**4 - 2*g**4 + 0 + 0 + 4*g**4 + (-g**3 + g**3 + g**3)*(-3*g - g + 5*g).\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 794667 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.03+-285620\nAnswer: -285619.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -b - 9. What is the nearest to 1\/3 in b, 82, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 253 + -150. What is the remainder when w is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 4*f + 1. Let h be q(-3). Let d = h + 10. Let u(g) = -3*g**2 + 119*g + 50. Let b be u(40). Which is greater: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**4\/24 - 13*f**2. Let d(r) = 2*r - 2*r - 320*r**2 + 235*r**2. What is q(d(g))?\nAnswer: -85*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104051317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 14199 (c) -1\/7 (d) 1\/7 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 15. Give h(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -7. Let f be (10 + -1 + 1)\/(-1). Let s = f + o. Calculate the highest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22 - (3 - 5\/5). Solve -4*z - i = -0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 111*u**2 + 5*u + 70. Let x(o) = -110*o**2 - 3*o - 59. Determine 5*n(a) + 6*x(a).\nAnswer: -105*a**2 + 7*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(152) - sqrt(152)*-2*1)\/sqrt(8) + sqrt(304) + 0 + -2).\nAnswer: -6 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 19*f + 8. Let m be g(20). Let a = m + 17. What is the greatest common divisor of a and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6416 + -6413. Put m, -6, 1\/7, 0.1, -12 in decreasing order.\nAnswer: m, 1\/7, 0.1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (268\/(-4355))\/((-2)\/(-10))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0*k**4 + 0 + 11\/60*k**5 + 2\/3*k**3 + 0*k - 4*k**2. What is the first derivative of g(v) wrt v?\nAnswer: 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.289 + -0.589. What is the second smallest value in 1, -1.2, w, 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 11*n + 2*n. Let a(u) = -6*u + 2. Let h(w) = 13*w - 5. Let l(o) = 5*a(o) + 2*h(o). Give m(l(c)).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15460 and 4?\nAnswer: 15460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**5 + 12*z**4 - 16*z**3 - 12*z**2 + 14*z = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/4*f**4 + 23\/2*f**2 + 15*f**3 + 1\/4 + 3*f.\nAnswer: (f + 1)**2*(5*f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736*j + 1765*j**2 + 736*j.\nAnswer: 1765*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.99984 + 6. Round u to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 737 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1022420 (base 5) to base 2\nAnswer: 100001101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -157824, -157784, -157716, -157614, -157472, -157284, -157044, -156746?\n\"Answer: h**3 + 8*h**2 + 9*h - 157842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/7 + 4*n\/7 + 5\/7.\nAnswer: -(n - 5)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 5, -4 + 9 = -w + 4*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-4 - -8) - (-3 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(200) + sqrt(200)*2 + sqrt(200) + sqrt(200) + sqrt(200)))**2 + -1 + sqrt(55)\/(sqrt(11) + (sqrt(11) - (sqrt(11) - sqrt(66)\/sqrt(6)))).\nAnswer: -179\/180 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/703 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 greater than -35628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) - (-8396)\/6. What is j rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**3*i)\/(((i\/i**(-2\/9))\/i)\/i)*i*i**(-4\/9)*i*i**8)**(-49))**(2\/29) assuming i is positive.\nAnswer: i**(-4214\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1834 - -1833. Let q = -3 - -8. Sort -9, q, h in decreasing order.\nAnswer: q, h, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + -178. Let n = -185.6 - b. Let r = 0.05 - -4.95. What is the second biggest value in n, 2\/7, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1161 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2575 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 978*q - 2 - 976*q + 3*q**2 to the form f*q**2 + b*q + r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oauauabgub. Give prob of sequence ouu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1771 + 17?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 9:55 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 3, e: 2, u: 5}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u - 2*u**2 + 4*u + 6*u + 11. Calculate the remainder when 18 is divided by x(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 381, -2\/15, -1\/4.\nAnswer: -1\/4, -2\/15, 3, 4, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**5 - 9052695*m**4 + 4*m**3 + 14*m**2 + 2*m - 4570819 wrt m.\nAnswer: -120*m**2 - 217264680*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 10 - 5)*(1803 - 1057*d - 1803) to b*d + o and give b.\nAnswer: -3171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/(-54))\/(25\/15))\/(1\/(-18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (19\/(-76))\/((-18)\/(-16)). What is the third smallest value in 60, 3, o?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9975)\/(-147) + -42 + -23.\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20049.129 + -20067. Let o = -0.129 + g. Sort 0.2, 1, o in ascending order.\nAnswer: o, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001202002211 (base 3) to base 16.\nAnswer: -8a214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79364 * 3.\nAnswer: -238092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 921*d**2 + 290?\nAnswer: 1842*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let x = 26 - 32. Let y be 65\/39 + (-2)\/x. Let p(o) = -y*o + 9*o - 17*o - 6*o. Calculate p(g(q)).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p**2 + 2*p - 10. Suppose -11*j - 75 - 2 = 0. Is d(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1347367599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 - 14)*5\/(-3). Let v be 0*(1 + 2\/(-4)). What is the closest to v in -6, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = 0, 3*y = -2*z - 5 + 1. Solve y = n + 5*p + 5, 3*p = -4 + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.83 or -267.7036?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -35. Let q be 7 - (1 + -2 - s). Let w be -1 + -1 + 4 + 1. Solve -r + q*r = -w*f - 11, 2*f + 14 = -3*r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15786485 divided by 287027.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*f + 0 + (f + 0*f - 2*f)*(1 + 1 + 0) + f + f + 0*f + 4*f - f + f + (0 + 3 + 0)*(-2*f + 4*f - f))*(-3*f**2 + 2*f - 2*f).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 77\/26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3. Let d(t) = 9*t**3 + 25*t**2 + 20*t. Let b(w) = -d(w) + 4*x(w). Factor b(m).\nAnswer: -5*m*(m + 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -186, -205, -232, -267?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13762 + -13775. Let z(b) = -b**3 - 12*b**2 + 8*b - 3. Calculate z(c).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 10 = -2*l, 233*r = -2*l + 234*r + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21.11646 microseconds?\nAnswer: 21116.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3928 - 587 + 7872*w**2 + 2598 - 133 + 1543 wrt w.\nAnswer: 15744*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441 (base 5) in base 3?\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 30584275.\nAnswer: -11\/30584275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 8 = -2*s, -148 = 1831*s - 1794*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f**2 + 0*f - f**4 - f + f - 3*f + 19*f**2 - f**3 as j*f**4 + k*f**3 + u + t*f + a*f**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/15, 6, 0.28012?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112211220221 + 1?\nAnswer: 112211220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 2*w + 2*w**2)*(0*w - w - w)*(18 + 2 - 3*w - 3) in the form d*w**4 + q*w + c + i*w**3 + n*w**2 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Suppose 2*q = -a*s + 40, -5*q + 2*s + 75 = -25. Calculate the highest common divisor of 200 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/7 or 0.11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, 1, -19 in descending order.\nAnswer: 1, -4, -14, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -13300 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 7449684.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*s - 873, 34*g - 1164 = -4*s + 29*g. Which is smaller: s or 298?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w - 22. Let a = w - 20. Suppose 5*m - 3*u = 6, -2*u + 6 = -a*u. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6521\/140 + -318\/7. What is the common denominator of s and (59\/4)\/(54 - 47)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/2*(43440\/200)\/181\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(52)\/(-1*sqrt(16)) + -3)*2)**2.\nAnswer: 16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 10*q + 7*q = 0, 5*i + 40 = 3*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 31 = 3*x - 5*s, 0 = 5*x - 5*s - 40. Let z(d) = d**2 + 4*d - 1. Determine z(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*n*w**3 + 3*n*w**2 - 6*n*w - n + 4393*w**4 - 566*w + 36 wrt w.\nAnswer: 420*n*w + 6*n + 52716*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -7744*k**4\/9 + 352*k**3\/9 - 2*k**2\/3 + 360*k. Factor s(m).\nAnswer: -4*(88*m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3056 and 64?\nAnswer: 12224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-130)\/(-4))\/(-13))\/(1\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g - 63. What is the remainder when i(31) is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*n**3 + 0 - 2 + 1 + 38*n.\nAnswer: 665*n**3 + 38*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*w - 7, -4*w - 3*z = -5 - 5. Let i = 0.7 - 0.2. Which is the third biggest value? (a) 2 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n + n + 31 - 28)*(1439 + 91*n - 1439).\nAnswer: -546*n**2 + 273*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 - 140. Let p(b) be the first derivative of 0*b**4 + 1\/3*b**6 + 1 + 0*b**5 - 1\/2*b**2 + u*b + 0*b**3. What is the second derivative of p(s) wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.039? (a) -2\/5 (b) 2\/17 (c) -1 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -28.14 (b) 1\/3 (c) -0.2 (d) -5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*l - 16, -2*n + 52 = 3*n - 3*l. What is the remainder when 183 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 829.\nAnswer: -3316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.006 + -0.006. Which is the smallest value? (a) -4\/3 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 13. Let t = b - 10. Solve -3*q + 0*c = -4*c - 21, q = 2*c + t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -5, 1\/28, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:53 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 7 + 27. Let x = -1 + c. Solve 0*d = v + 2*d - 1, -2*v = -x*d - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6244\/2230)\/(2*3\/(-60))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/3 - 848*j\/3 + 564 = 0. Calculate j.\nAnswer: 2, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -310\/1529 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47369 is divided by 376?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j + 4. Suppose -j*v = -28 + 2. Let g = v + -7. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1109 + 2.2891. Is -2\/9 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1240 and -95\/5332.\nAnswer: 53320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 136830 smaller than 139002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -18073894\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1959475 and -69\/313516?\nAnswer: 7837900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -830*j**2*q*z**2 + 2*j**2*q + 3*j**2*z**2 + j*q*z - 2*j*q + j*z**3 - 1 wrt z.\nAnswer: -1660*j**2*q + 6*j**2 + 6*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -7.4, 0.14?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49712, -99437, -149162, -198887, -248612?\nAnswer: -298337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1280295.776 and -6.\nAnswer: 1280289.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-8))\/(-3))\/(16\/(-192))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354057407.\nAnswer: 13, 149, 1215311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 11*a + 14. Let p be z(-12). Is 5\/(-10) - (-79)\/p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9272, -9279, -9286, -9293?\n\"Answer: -7*z - 9265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(12)\/(sqrt(4)*-3).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-19 + 1 - -19).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 d when three letters picked without replacement from {n: 6, d: 7, c: 4, k: 2, h: 1}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-1))\/((-8)\/3))\/((-2)\/24)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:25 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44552 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5399.827 micrograms?\nAnswer: 5.399827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5286180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose v*b = 10*b - 12. Let q(d) = -d**3 - 2*d**2 + d - 4. What is the smallest common multiple of b and q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236819 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249865000?\nAnswer: 2, 5, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**2 - 19*f - 10.\nAnswer: (f - 2)*(12*f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.31 and -2106?\nAnswer: -4864.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 669924 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:37 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-5 - (-9 + 7 + -3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103415013 (base 6) to base 10.\nAnswer: -1853073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n + 117*n**2 - 241*n**2 + 117*n**2 + 15 wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729949.9ml to litres.\nAnswer: 729.9499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i + 7*i + 9*i + 2*i - 11*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -2\/65*y**5 + 4 + 0*y**3 - 1\/13*y**4 + 2\/13*y**2 + 2\/13*y. Determine a, given that g(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*g + 119 = -145, -m = 3*g - 262. Suppose 0 = 4*o - 0*o - m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3378 (base 15) in base 7?\nAnswer: -43550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 2:44 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-7))\/(s**8*s)*(s**(-1\/6)*s*s)\/s**(-3\/10))**(2\/25) assuming s is positive.\nAnswer: s**(64\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3658*k - 3744*k - 108 = -7510*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78992 and 8516.\nAnswer: 168173968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -138, -155, -178, -207, -242, -283?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2.4 (b) -2\/5 (c) 32\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Factor -9*d**4 + 4*d**4 + 3*d**2 + f*d**2.\nAnswer: -5*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4991 (base 14) in base 2?\nAnswer: 11001001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110 - -100011101000001?\nAnswer: 100011100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 26, 0, 4, 5 in increasing order.\nAnswer: -1, 0, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6471*o + 30488 - 334625 = 0 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 4*b - 4. Let v(r) = -r**2 - r + 1. Suppose -4*a + 5*y - 1 = 0, 4*a - 9*y - 1 - 10 = 0. Calculate a*v(s) - l(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -501 + 455.8. Let t = 45 + j. Sort 1\/2, t, 0.4, -4\/7 in descending order.\nAnswer: 1\/2, 0.4, t, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 3. Suppose 2 + y = 4*f. Suppose -f*x = x - 75. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.07 (c) 2 (d) 1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 749008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 7}. What is prob of sequence hm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.308836um to meters.\nAnswer: 0.000002308836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from {k: 1, m: 3, f: 6, v: 9}?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -2 - (-3 + 1 + 0). Let w be (-1 + 2)\/((4\/j)\/(-4)). Let s(u) = u**2 + 7*u - 2. What is s(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, y: 1, x: 3, p: 1, j: 5}. Give prob of sequence jdyp.\nAnswer: 1\/1584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 98802422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -15*f - 4. Let l be g(-4). Suppose -13 = -5*b + 7. Suppose b*h + 0*h = 5*i + 32, -l = -4*h - i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -223a47 + 1?\nAnswer: -223a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17021*v + 3226050 = 52866*v for v.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30103*d**2 - 30117*d**2 + 4*d - 4*d.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5 - 5*h**3 - 16*h**2 - 508*h wrt h?\nAnswer: -20*h**3 - 30*h - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Let n = y - 2. Calculate the smallest common multiple of 16 and (7 - n) + (-1)\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-15 - (-11 + 2) - (-3 + 4 - -10))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + z = -34, 2*t - 5*z = -3*t + 50. Suppose 2*v + t = -0*v. Is (-106)\/3*v\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12272642\/3 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 7*s**2 - 11*s + 5. What is the hundreds digit of a(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**2 + 6*a**5 + 4*a**5 - 12*a**5 + 9*a**5 wrt a?\nAnswer: 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56074445.4 to the nearest ten thousand.\nAnswer: 56070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 10. Let u be h(15). Suppose 2*s = -3*s + u. Let b be s - (2 + 0 - 1). Solve -5*v = -3*v + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 + (-187)\/68. What is the remainder when (-10)\/(10\/m) + 141 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 23*u + u + 3069 = 0. Calculate the remainder when 392 is divided by u.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1439\/5 - 296. Let n = -185\/254 + 60941\/68326. Let f = n - 25907\/2152. Calculate the common denominator of f and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*n - 166 - 1910 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.5 and -7.24?\nAnswer: 25.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5151561 and 31734.\nAnswer: -5119827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42733879\/350 - 122097. Find the common denominator of 99\/20 and t.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, 4\/3, 6 in ascending order.\nAnswer: -0.5, -0.1, 4\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**4 + 30*p**3 - 385*p**2 - 1350*p - 936 = 0.\nAnswer: -39, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 252856590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27705 = 5*w - 5*f, -6*f - 16619 = -3*w - 2*f. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*h + 5, -2*d = 25*h - 29*h - 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 + 4*f + 2. Let m be q(-4). Let c(v) = -1 - 10*v - v**2 + 3 + 10*v. Give c(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/70 + 31\/70. Suppose 2*x = 8, -f - 2*x + 3*x = 2. Factor 2\/5*r**3 - 2\/5*r**f + 2\/5*r**4 + 0 - z*r.\nAnswer: 2*r*(r - 1)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 51*y**2 + y + 1. Let o(i) = -50*i**2 - i - 1. What is -5*o(b) - 6*r(b)?\nAnswer: -56*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 200.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose -5*s = -3*x + 8, -4*x = -r*s + s - 5. Let t(u) = -2*u - 5. Let i be t(-5). Solve i*h - 3*h = -2*z - 6, x = -3*z + h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2220730, 2220603, 2220474, 2220343, 2220210?\n\"Answer: -m**2 - 124*m + 2220855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -0.0517.\nAnswer: 0.1483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g - 15*g + 0*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6959501 is divided by 1241.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.72 - 2.39. Let s be (4\/32)\/(4\/((-160)\/(-6))). What is the third biggest value in -3, d, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000152 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 2*l - 3 + 1 - 3*l + 3*l - l + (1 - 3 + 3)*(2*l - 4*l + 0*l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*u + 4*d - d, 0 = -u - d + 15. Suppose 4*v - 2 = u. Put 0, v, -5, 5 in decreasing order.\nAnswer: 5, v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5*1)\/((-37)\/37). Let w(n) = 113*n**2 + n - 9. Is w(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -18*u - 683. Let l be y(-38). Let h(q) = 1. Let s(d) = 41*d - 3. Determine l*s(i) + 3*h(i).\nAnswer: 41*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(7007\/22))\/((-2)\/14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, i: 3, f: 5}. Give prob of sequence fi.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*1710\/1368?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p + 75 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-12))\/(81\/(-810)))\/(3\/(-54)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h. Let c(g) = 7*g + 6. Let p(a) = 6*a + 5. Suppose 0 = f + 2 + 1. Let i = -2 + f. Let j(t) = i*c(t) + 6*p(t). Determine j(s(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -9586 - 3874. Is o\/(-6)*(-21)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t + 34*t - 21*t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.9297155 - 0.0702845. Let i = -8 + 3. What is the biggest value in -0.3, i, -4\/3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 0, 9*n = -2*q + 4*n. Let v be q\/(2 + 1 + -2). Let i = -158 + 635\/4. Which is the third smallest value? (a) v (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = 0, -28*u = -2*l - 31*u + 62987. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6041538.\nAnswer: 2, 3, 335641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/284 and 46\/213.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3049344 and 1152.\nAnswer: 3049344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24402201 (base 6) to base 4\nAnswer: 2331331321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1094230 rounded to the nearest 10000?\nAnswer: -1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 2 - 2. Let l(c) be the second derivative of -c**4\/6 - 14*c. Calculate l(g(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbyhhfc. What is prob of sequence bhc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 296\/11 + -603\/22. What is the smallest value in -1.4, l, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**5 - 2*p**5 + 0*p**5)*(2 + 3 - 76) - 3*p**5 + 8*p**5 - 15*p**5.\nAnswer: 345*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/60)\/(54\/(-135)). Let j(d) be the first derivative of 0*d + i*d**3 - 13 - d**2. Calculate j(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, -11, -29, -53, -83?\n\"Answer: -3*z**2 - 3*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-3)\/(6\/(-2)). Suppose 1 = 7*p - 6*p. Let x be p\/(5\/(-5)) + 4 - -17. What is the greatest common divisor of x and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = r. Suppose 0 = -13*t + 2*t + 132. Calculate the smallest common multiple of r and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47367 and 8607.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/5 (b) 3\/14 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0 + 2*r + 1\/3*r**3 + 1\/10*r**5 - 1\/3*r**4 + 0*r**2. Determine g, given that p(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:13 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -8*z + 8. Suppose -z*b - 31 = -43. What is the remainder when 12 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*a**3*d**2 - 150*a**2*d**2 + 5*a*d + 838*d**2 wrt a?\nAnswer: -72*a*d**2 - 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.5453915 - -10.549. What is q rounded to four decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -458\/385 or 0?\nAnswer: -458\/385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 5*n + 10. What is g(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.2, -4, -6828, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 398763142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s + 4*s + (-22*s - 68 + 68)*(0 - 1 + 2))*(-3*s**4 + 0 + 0).\nAnswer: 69*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*r + 217*r = 220. What is the greatest common factor of 73 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -19*j**2 - 2*j - 28. Let h(x) = 122*x**2 + 15*x + 167. What is 2*h(r) + 13*w(r)?\nAnswer: -3*r**2 + 4*r - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 227 = 3*s, -13*s + 17*s + 2*y - 286 = 0. Solve 39*t - 43 = s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2043 is divided by 126.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 3. Let a be d(3). Let i = -4 - a. Suppose 4*z + 40 = 5*c, i*c + 3 = 5*z + 2. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2974 + 17701\/6. What is the common denominator of -149\/48 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 5931 + 1222 = 0. Suppose -f = -b + q, q = 5*b - 1391 - 148. List the prime factors of b.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944046?\nAnswer: 2, 13, 74771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = 0, -p + 186 = 3*k. Suppose -2*y + 26 - p = 0. Let b = -52 - y. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7156 + 7174. Solve 3*q + s = 6, 3 = 3*q - 4*s - k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -11. Let l be (-5)\/(45\/i)*-9. Let u = -1 - l. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 9*v**2 + 1. Let a be h(1). Let y = a - 12. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 2 in descending order.\nAnswer: 4, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258346508 is divided by 1699648?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315\/(-162) - -2 - (28\/20 + (-44616)\/(-2160))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let r(c) = -16*c**2. Let i(z) = -3*z**2. Let q(f) = 22*i(f) - 4*r(f). Determine y(q(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6506 times -787?\nAnswer: 5120222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/264480 and -41\/2416.\nAnswer: 39936480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1127588960 and -5.\nAnswer: 5637944800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/15 - 2984*z**3\/3 + 5565160*z**2\/3 = 0 for z.\nAnswer: 0, 3730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 9*o**6\/40 - 3*o**3\/2 - 24*o**2. Find the first derivative of k(q) wrt q.\nAnswer: 81*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 192991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*l, 0*b - 5*l - 20 = 4*b. Suppose b = -15*r + 40 + 65. Let q(z) = -z**2 + 7*z - 3. Give q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*y + 64 = 0, 3*y = w + y + 64. Let x = w - 5. Let c be (-4 - -3)\/((-1)\/x). What is c rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(4))\/(sqrt(2) + sqrt(16)\/sqrt(288)).\nAnswer: 48*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3 = m, -m - m - 6 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020 divided by -2004?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(-14*17\/(-18564)). Let a(v) = 9*v + 7. Let y be a(5). Calculate the greatest common divisor of y and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 times 16.136?\nAnswer: -1839.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucc when three letters picked without replacement from ccccucccccccccccccc?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 = 6*y - 7*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610142 to the power of 1\/2, to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*m**2 + 199 - 394 + 9*m + 7*m**2 + 188 + 3*m**3 to a*m**2 + i*m**3 + v*m + b and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224810340?\nAnswer: 2, 3, 5, 3746839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -897 in -2, 3\/40, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1291 divided by 414\nAnswer: 1291\/414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -232250, -234921, -237592, -240263, -242934, -245605?\n\"Answer: -2671*u - 229579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/34 in 2\/13, 1\/10, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 915445756 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176397*x**2 + 89348*x**2 + 88456*x**2.\nAnswer: 1407*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 0.5112.\nAnswer: 0.3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79c (base 13) to base 15.\nAnswer: 5c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 = -5. Let w = 64 + -72. Let s be (3\/(-6))\/(w\/16). What is the highest common divisor of x and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.32 + -0.32. Let i = -1.1 + 1. Let m = 0.1 + i. Which is the closest to -1? (a) m (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 13*j**2 + 14*j + 28. Suppose 55 = -6*p - 17. Let z be t(p). Let q(i) = -5*i - 3*i**2 + 3*i**2 - 3*i**2 - i**3 - z + 11*i**2. Determine q(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-44)\/(-12)*-3. Suppose 27 = 3*s - 9. Which is greater: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 5 + 5 + 6*c - c - 3*c + (-2 + 2 + 6)*(2*c - c - 3*c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 216\/11, 1, 4?\nAnswer: 216\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(2\/6)\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 538 = 4*z + 532, -3 = 4*t + z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oobssbzssb. Give prob of picking 2 s and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 14*j**2 - 14*j + 15. Let a be s(13). Let o = -4 - -6. Let k = 1 - 4. What is the closest to o in -0.4, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -344.157 to the nearest integer.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -31) + (2 - 4 - (-13)\/(-4)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - (99 - 133)) + (159 - (-1 + 4))?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10230699 and 610788?\nAnswer: 40922796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164791319.\nAnswer: 7, 11, 17, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -325*i - 2. Let s(x) = 162*x + 1. Determine 3*g(p) + 5*s(p).\nAnswer: -165*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 51 + 100 = -u. Solve u = 38*s - 71*s + 132 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 1. Let i be z(9). Let u = i - -7. Let o = -518\/285 - -32\/19. What is the nearest to 0.1 in -0.3, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 280 (c) 5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112230211 - 13?\nAnswer: 112230132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -432.7478 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 101. Determine u(23).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 2*s**2 - s - 7. Determine d(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 1.97. Let z = 5.088 - -0.012. Let n = z - 5. What is the closest to g in 1\/4, -5, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -9. Find w, given that -h + 10*w - 2*w - 7 - 2*w**2 + 1 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 62. Which is the nearest to -0.05? (a) 2 (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3 + 50549*g**2 - 597711 with respect to g.\nAnswer: -6*g**2 + 101098*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 198233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162628172*g**3 - 238324024*g wrt g?\nAnswer: 975769032*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -297*o + 1396. Give l(4).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -25?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2358867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*k - 71*k - 18*k)*(6 - 4 - 4).\nAnswer: 220*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 1, l: 1, o: 3, y: 6}. Give prob of picking 1 y and 1 l.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -8328745 and -8328745 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 268871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 0.061, 8, 4?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/3 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11 - 27 - 6 + m + 6 + 15. What is f(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -150522.\nAnswer: -150518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-3))\/((-10)\/15). Let s(z) = -15*z + 10. Is s(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i + 10*i - 27*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458749.7 years to millennia.\nAnswer: 458.7497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 5)*(-5*c + 31*c**5 - 9*c - 30*c**5 + 14*c - 1456).\nAnswer: 7*c**5 - 10192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -245, 10, -4 in ascending order.\nAnswer: -245, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*y - 661, 5*y - y - 874 = -2*x. Suppose 0 = -2*c + 213 + y. Is c a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 - -117.5. Which is the biggest value? (a) r (b) 4 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -104*j + 228. Let n be y(-5). Let c = n - 1489\/2. Determine d so that 71\/6*d**3 + 4\/3*d + 25\/3*d**2 + 0 - c*d**4 = 0.\nAnswer: -1\/3, -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19933.\nAnswer: 31, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -7 + 0 - (15 + -28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:28 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 637*w**2 + w - 2. Let c be k(-2). Suppose 38*a - c = 35*a. Suppose 4*i - a = -4*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2219671 (base 10) to base 13.\nAnswer: -5c941c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157 and 53537?\nAnswer: 53537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + sqrt(931)*-3 + 3 + 1 + (sqrt(19) - (sqrt(475) + -1)))**2.\nAnswer: -180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 318 - 125. Let f = -164 + s. Sort 1, f, -1, 3 in increasing order.\nAnswer: -1, 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6123 and 353.\nAnswer: 6476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36 * 20.57\nAnswer: 740.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14184727*k + 3663651 with respect to k.\nAnswer: 14184727","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*n = -11 + 21, 0 = -2*a - n - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*b**4 - 14*b**2 + 72*b**4 + 9*b**2 + 3*b**3 to the form n*b + h + j*b**3 + m*b**2 + p*b**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -22. Let z be ((-2)\/2 - b)\/(-2). Suppose -810 = -o + z*o. Round o to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*743.\nAnswer: -27491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6159842 is divided by 662?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 853258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 14*l = r + 8, 0 = -4*l - 3*r - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5*(-2*sqrt(84) - sqrt(84)) - (sqrt(84) + -1*sqrt(84))*-3)\/((1*sqrt(84))\/sqrt(7) + (1*sqrt(300) - sqrt(300))) + 5)*-2.\nAnswer: -180*sqrt(7) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61077681 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddpdddddddpddddd. Give prob of picking 1 d and 2 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-25)*120\/144\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 260216?\nAnswer: 260211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 33, 4, -1, 14, 2.\nAnswer: -1, 1, 2, 4, 14, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 5*r + 12. Let l be p(8). Let d be -3 + 513\/l - 3\/12. Which is greater: d or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**2 + 203*z - 27. What is p(40)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 - 5.54. Let a = 0.769 - 4.659. Let z = w - a. What is z rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3688065104 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*l - 86 = 30, 3*g + 5*l + 268 = 0. Let z = g + 166. Suppose 2*s - z = 64. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 151?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and -0.2173?\nAnswer: -0.26076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258 by 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2 - 20829722*s = 0. What is s?\nAnswer: -10414861, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -19925282.\nAnswer: 13947697.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 411860000 rounded to the nearest one million?\nAnswer: 412000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/5 - 112*m\/5 - 48.\nAnswer: 4*(m - 30)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-90)\/(-12)) + 118\/5. Suppose -h*g = 28*g - 71292. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2054943 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-187)\/(-33)*((-4)\/(-2) + 1). Suppose a*s - 57 = -2*s. Let k = 1 - 1. Solve 0*h - 4*h - 11 = -s*u, -4*h - 20 = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s. Let f(k) = 153*k**2. Calculate f(a(z)).\nAnswer: 612*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*(20\/(-1))\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 18741 = 10*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52387, -52500, -52613, -52726, -52839, -52952?\nAnswer: -53065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Suppose 0*g = 4*g - 12. Suppose -37 = -y*r + g. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2854036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.14317 and -3834380?\nAnswer: 3834379.85683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110)*-1)*-6*1)\/(sqrt(40)*1 - ((sqrt(360)*1 - sqrt(360)) + sqrt(360)))*-6 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2965 is divided by 728?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -432 (base 9) to base 13\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1)*10\/4. Let r = 72917 - 72912. Which is the third biggest value? (a) 11 (b) 6\/13 (c) r (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 671623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.27 - 0.1. Let l = -0.23 - t. Which is the third biggest value? (a) 1\/2 (b) 1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128 times 4?\nAnswer: -4512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 18757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -66. Let z(p) = -p**2 - 132. Let v(s) = -5*h(s) + 2*z(s). Let a(o) = -3*o**2. Calculate v(a(g)).\nAnswer: -18*g**4 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24954\/11 + -2266. Which is smaller: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(162) + 1 + sqrt(162) + sqrt(162) + (-3*(-3 + -2*sqrt(162) + sqrt(162) + sqrt(162)))**2.\nAnswer: 27*sqrt(2) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-6))\/(21\/(-14)). Let v(i) be the second derivative of 0*i**2 - 2*i + 3\/20*i**5 + 0 + 0*i**4 - u*i**3. Find the second derivative of v(q) wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2715.765 hours in days?\nAnswer: 113.156875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4124*g - 4. Let y(d) = 4251843*d - 4126. Determine 4126*s(h) - 4*y(h).\nAnswer: 8252*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 55*t**2 - 4. Let u be g(-2). What is the greatest common divisor of 27 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-7))\/(-2)*14\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352, 496, 868, 1582, 2752, 4492?\nAnswer: 6916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*10\/35*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20681466 and 1886?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 at most as big as 292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/17 or 0.0465?\nAnswer: 0.0465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 807071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 24*p - 321. Give g(0).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*y + 53*y + 33*y + (0 + 2 - 1)*(5*y - 7*y - 10*y) in the form m*y + j and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/(((-4488)\/(-2310))\/(-34)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7839 times -0.3\nAnswer: 0.23517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syll when four letters picked without replacement from {s: 2, l: 2, y: 1, m: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (176\/(-24))\/((-2)\/(-3)). Let i = 20 + h. Let c be (0 - 2) + i\/12. Which is greater: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548638870?\nAnswer: 2, 3, 5, 84954629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(0 + -4 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, x: 7}. Give prob of picking 2 x.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 1, l: 3}. Give prob of sequence lyll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}