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picking 3 h when three letters picked without replacement from {r: 1, i: 2, m: 3, h: 3, g: 1}? 1/120 Calculate prob of picking 1 q and 1 d when two letters picked without replacement from heehhhqhhdhbqe. 2/91 What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 1, n: 2, h: 1, q: 3, m: 2, a: 6}? 2/105 Calculate prob of picking 2 c and 1 p when three letters picked without replacement from llacallllccapa. 3/364 Calculate prob of picking 2 i, 1 a, and 1 p when four letters picked without replacement from {a: 4, i: 7, p: 1, u: 1}. 84/715 Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {j: 9, l: 5, s: 2, k: 2, t: 2}. 2/95 Three letters picked without replacement from zzzzzzzzzzrzz. Give prob of picking 3 z. 10/13 Two letters picked without replacement from xrxeebd. What is prob of picking 1 b and 1 e? 2/21 What is prob of picking 3 o and 1 a when four letters picked without replacement from {a: 1, f: 5, o: 5, p: 5}? 1/182 Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {q: 6, p: 2, h: 3, f: 1}. 1/11 What is prob of picking 1 f and 1 y when two letters picked without replacement from {f: 5, y: 1, c: 2, p: 1}? 5/36 Calculate prob of picking 1 j, 1 t, and 1 c when three letters picked without replacement from {l: 6, j: 6, t: 1, c: 4}. 3/85 What is prob of picking 2 y when two letters picked without replacement from {y: 4, b: 1, u: 1, n: 1, l: 2}? 1/6 Three letters picked without replacement from {h: 4, g: 3, q: 4, b: 1, s: 5, p: 3}. Give prob of picking 2 g and 1 h. 1/95 Calculate prob of picking 1 y and 1 a when two letters picked without replacement from naqay. 1/5 Two letters picked without replacement from pkppppmpfppfppppp. Give prob of picking 1 p and 1 m. 13/136 What is prob of picking 2 o and 1 e when three letters picked without replacement from eeeooeoooooooo? 45/91 Three letters picked without replacement from {z: 7, w: 2, b: 6}. What is prob of picking 2 w and 1 z? 1/65 What is prob of picking 2 o when two letters picked without replacement from okkookkook? 2/9 Two letters picked without replacement from oosooeeofhoofoeffeee. Give prob of picking 1 e and 1 o. 24/95 Two letters picked without replacement from {h: 7, d: 3, m: 2}. Give prob of picking 2 h. 7/22 Calculate prob of picking 2 q and 1 d when three letters picked without replacement from nzqdqrqzfnz. 1/55 Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {p: 2, b: 4, s: 2}. 2/7 What is prob of picking 3 z when three letters picked without replacement from {z: 3, p: 1}? 1/4 Two letters picked without replacement from {y: 1, h: 6, u: 3, q: 1, p: 4}. What is prob of picking 1 y and 1 q? 1/105 Calculate prob of picking 2 t and 2 c when four letters picked without replacement from tccatacttctccctcttc. 84/323 Two letters picked without replacement from {d: 3, k: 2}. Give prob of picking 2 k. 1/10 Three letters picked without replacement from {w: 4, z: 1, m: 6, n: 4}. What is prob of picking 1 w, 1 n, and 1 z? 16/455 Calculate prob of picking 3 j when three letters picked without replacement from bjrjcjr. 1/35 Three letters picked without replacement from {x: 5, j: 3, w: 3, q: 4, n: 4}. What is prob of picking 1 j, 1 x, and 1 q? 20/323 What is prob of picking 2 t and 1 v when three letters picked without replacement from {v: 3, d: 2, q: 3, t: 2, r: 1, b: 3}? 3/364 What is prob of picking 1 b, 1 v, and 1 t when three letters picked without replacement from {f: 1, b: 3, t: 4, v: 7, q: 1, o: 2}? 7/68 Three letters picked without replacement from {p: 11, j: 2}. Give prob of picking 3 p. 15/26 Two letters picked without replacement from {a: 1, m: 1, f: 1, t: 6, z: 3, r: 1}. Give prob of picking 1 r and 1 m. 1/78 What is prob of picking 4 d when four letters picked without replacement from {d: 3, t: 3}? 0 Two letters picked without replacement from {r: 4, v: 1, x: 1, q: 1, t: 1, u: 5}. Give prob of picking 1 u and 1 v. 5/78 Two letters picked without replacement from {t: 1, k: 1, g: 2, u: 2}. Give prob of picking 1 t and 1 k. 1/15 Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaaaaaaavavaaaaa. 12/19 Four letters picked without replacement from qxpiqibxbiqxpiiip. Give prob of picking 1 x, 1 p, 1 b, and 1 i. 27/595 What is prob of picking 2 b when two letters picked without replacement from bzezz? 0 Four letters picked without replacement from {d: 10}. Give prob of picking 4 d. 1 Four letters picked without replacement from {p: 13, h: 5}. What is prob of picking 4 p? 143/612 What is prob of picking 1 o, 2 z, and 1 v when four letters picked without replacement from {v: 5, z: 4, o: 1}? 1/7 Two letters picked without replacement from {j: 1, s: 1, p: 14}. What is prob of picking 2 s? 0 Calculate prob of picking 2 g when two letters picked without replacement from gngggjjjgjgnj. 5/26 Two letters picked without replacement from uuttuuuuuuututuuuu. Give prob of picking 1 u and 1 t. 56/153 Calculate prob of picking 1 d and 1 t when two letters picked without replacement from pxfndndftfnnpxppdddp. 1/38 Calculate prob of picking 1 r, 1 e, and 1 m when three letters picked without replacement from {z: 2, w: 5, r: 1, m: 1, s: 3, e: 1}. 1/286 Two letters picked without replacement from yeejyeejjhjhuly. Give prob of picking 1 h and 1 j. 8/105 Two letters picked without replacement from {c: 3, k: 2, e: 6, w: 2, t: 1}. Give prob of picking 1 w and 1 c. 6/91 Four letters picked without replacement from lpklkllpp. Give prob of picking 3 p and 1 k. 1/63 Two letters picked without replacement from {k: 2, x: 3, j: 4, y: 9}. What is prob of picking 1 x and 1 k? 2/51 Calculate prob of picking 1 f and 2 e when three letters picked without replacement from {n: 1, w: 1, v: 2, f: 1, e: 2, u: 1}. 1/56 What is prob of picking 4 t when four letters picked without replacement from tttttt? 1 Calculate prob of picking 2 m and 2 g when four letters picked without replacement from ggmmmgmmmgmmggmmmmm. 195/646 Four letters picked without replacement from bgbbbg. Give prob of picking 2 b and 2 g. 2/5 Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, j: 1}. 1/2 Four letters picked without replacement from {v: 1, z: 3, m: 4, h: 2, c: 4}. Give prob of picking 1 v, 2 m, and 1 z. 18/1001 Three letters picked without replacement from {p: 2, j: 3, w: 2, r: 5}. What is prob of picking 1 w and 2 j? 3/110 Three letters picked without replacement from {a: 2, j: 11, v: 6}. What is prob of picking 2 v and 1 j? 55/323 Calculate prob of picking 2 n and 1 m when three letters picked without replacement from {s: 4, m: 7, n: 4}. 6/65 Three letters picked without replacement from nnnnnn. What is prob of picking 3 n? 1 What is prob of picking 1 g and 1 y when two letters picked without replacement from {y: 5, g: 2}? 10/21 Four letters picked without replacement from {z: 2, q: 6, b: 1, s: 4}. Give prob of picking 2 q and 2 s. 18/143 What is prob of picking 1 n, 1 d, 1 y, and 1 b when four letters picked without replacement from udynddudb? 2/63 Three letters picked without replacement from gsgsggggggggggsggg. Give prob of picking 3 s. 1/816 What is prob of picking 2 a and 1 p when three letters picked without replacement from {a: 2, p: 1, v: 1}? 1/4 Calculate prob of picking 2 g and 2 e when four letters picked without replacement from {g: 7, e: 2, v: 11}. 7/1615 Three letters picked without replacement from kqkbkkkkkkkkqkqkkkkk. What is prob of picking 3 b? 0 Four letters picked without replacement from ccrccccccrcrccrrrcr. Give prob of picking 4 c. 165/1292 What is prob of picking 1 m and 1 s when two letters picked without replacement from tsbnstsbnsmssnvvst? 7/153 What is prob of picking 1 r, 2 l, and 1 p when four letters picked without replacement from xllprxppp? 2/63 Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {s: 1, b: 3}. 1/2 Calculate prob of picking 1 a, 2 h, and 1 p when four letters picked without replacement from papahppphpaaaha. 36/455 Two letters picked without replacement from zzoozz. Give prob of picking 1 o and 1 z. 8/15 What is prob of picking 3 l when three letters
{ "pile_set_name": "DM Mathematics" }
the units digit of (-18)/(-4)*8/18? 2 Let b(q) = q + 1. Let a(d) = 2*d + 1. Let g be a(3). Let f be b(g). Let p = f - 1. What is the units digit of p? 7 Let u = 448 - 226. What is the hundreds digit of u? 2 Let d(n) = 2*n + 18. Let p be d(-12). Let a(o) = -2*o**2 + o - 1. Let b be a(1). What is the units digit of 57/9 - b/p? 6 Let n = -114 - -165. What is the tens digit of n? 5 Let c(r) = 8*r - 5. Let w be c(6). Let o = -13 + w. What is the units digit of (-1)/(-2) - o/(-4)? 8 Let f = -3 + 6. Let z(y) = -f*y - y**3 + 4*y**2 + 2*y + 0*y**2. What is the units digit of z(3)? 6 Let u be ((-8)/5)/(10/(-25)). Suppose 0*w + 60 = -2*w. What is the units digit of u/(-10) - 282/w? 9 Suppose 4*g - 5*n + 16 = 0, -g - g + 5*n - 18 = 0. What is the units digit of (0 + g)/((-1)/(-2))? 2 Let c = 1039 - 714. What is the hundreds digit of c? 3 Suppose 3*c - 99 = 9. What is the tens digit of (-331)/(-9) - (-8)/c? 3 Let u(l) = 3*l**2 - 6*l - 22. What is the hundreds digit of u(-11)? 4 Suppose -3*j + 26 = -4*n, 0 = 2*n + 3*j + 4 - 0. Suppose -10 = -2*b - 0*b. What is the units digit of 42/b - (-2)/n? 8 Let b = -38 - -132. What is the units digit of b? 4 Let a be 85/3 - 9/27. Suppose 4*h - 32 = a. What is the units digit of (-2 - (1 + h))*-1? 8 Let v = -4 + 5. What is the tens digit of 0 + (-2 - -14) - v? 1 What is the units digit of 2*41/2 + 0? 1 Let w(c) = c**2 - 11*c - 18. Let f(l) = 0*l + 1 - 8 - l**2 + 7*l + 5*l. Let o be f(10). What is the units digit of w(o)? 8 Suppose 2*v + v = 0. Suppose -3*k - w + 73 = v, 54 = 2*k + 4*w - 2*w. What is the tens digit of k? 2 Let o = 20 - 3. Let u = o - 10. What is the units digit of u? 7 Let t(p) = p**2 - 5*p + 6. Let c be t(4). What is the units digit of (-4)/(-3 + c) + 0? 4 Suppose 5*j - 6*j + 15 = 0. What is the tens digit of j? 1 Let l be (1 + 1)*2/4. Let k be l - (-5)/((-5)/(-12)). Let t = k - 6. What is the units digit of t? 7 Let a = -80 + 217. What is the units digit of a? 7 Let l be -1 + (0 - -69)/3. Let d = l - 12. What is the tens digit of d? 1 Suppose -6*r + 3*r = 12, 85 = 3*m - r. What is the tens digit of m? 2 Let i = 18 + -21. What is the units digit of i + (3 - (0 + -2))? 2 Let l(h) = -17*h**3 + h**2 + h. Let w be l(-1). Let z = w + 7. What is the units digit of z? 4 Suppose 1244 = -12*g + 4700. What is the units digit of g? 8 Suppose -10 = -3*v + 5. What is the tens digit of 10/v + (-18)/(-2)? 1 Let d = -6 + 13. Let y = 30 - d. What is the units digit of y? 3 Let k(r) = 44*r - 5. What is the tens digit of k(3)? 2 Let d(r) = -17*r**2 - 4*r - 4. Let w be d(-3). What is the units digit of w/(-45) + 4/(-18)? 3 Let f(w) = -w**2 - 9*w - 6. What is the units digit of f(-7)? 8 Suppose g + 0*g = 0. Let b(y) = -y**2 - y + 3. Let f be b(g). Suppose 2*i - f*p - 18 = 0, -18 = -2*i - p + 3*p. What is the units digit of i? 9 Suppose 3*v + o = 249, 0*o + o - 333 = -4*v. What is the units digit of v? 4 Let x(g) = -10*g + 4. Let p(v) = 3*v - 1. Let r(o) = 14*p(o) + 4*x(o). Let s = -1 - -4. What is the units digit of r(s)? 8 Let t be ((-6)/(-9))/(1/3). Suppose -o = 2*n - 7*n - 58, -t*n - 2*o - 16 = 0. Let k = 22 + n. What is the units digit of k? 1 Let q(o) = -o**3 + 6*o**2 + 3*o - 5. What is the units digit of q(4)? 9 Let t(w) = 4*w**3 - 40*w**2 - 4*w + 9. Let d(p) = p**3 - 10*p**2 - p + 2. Let s(o) = -9*d(o) + 2*t(o). What is the units digit of s(10)? 0 Let h(m) = -52 - m**3 - m**2 + 0*m**3 + 107 - 54. Let r be 1 - (1 - -1) - 1. What is the units digit of h(r)? 5 Let h = -9 - -14. What is the units digit of (-3 + 4)*1 + h? 6 Let k(r) = -r**3 - 18*r**2 - 6*r - 13. What is the units digit of k(-18)? 5 Suppose 4*o - 85 + 13 = 0. What is the tens digit of o? 1 Suppose -q + 15 = -2. Suppose -2*o = -q - 21. What is the tens digit of o? 1 Suppose 39 = 2*y - 3*s, -5*y + 3*s = -4*y - 21. Suppose 0 = 7*m - 4*m - y. Let d = 12 - m. What is the units digit of d? 6 Let t(j) be the third derivative of -3*j**2 + 0*j + 1/2*j**3 - 1/12*j**4 + 0. What is the units digit of t(-4)? 1 Let s(b) = -b**3 + b**2 + b - 1. Let v(g) = 5*g**3 - 10*g**2 - 6*g + 3. Let m(r) = -6*s(r) - v(r). What is the units digit of m(-3)? 2 Let q be (-18)/4 + (-5)/(-10). Let j(b) = b**2 - 5. What is the units digit of j(q)? 1 Suppose -3*c + 5*x = 178, -7*c + 3*c - 276 = 3*x. Let q be c/(-4) - (-2)/(-4). Suppose -6*s = -2*s - q. What is the units digit of s? 4 Let g(n) = n**2 - 5*n - 3. Let v be g(6). Suppose 42 = -v*z + 5*z. What is the units digit of z? 1 Suppose -2*l - 31 - 131 = 4*b, -3*l = 2*b + 75. Suppose 3*m = -5 - 4. What is the units digit of b/(-4)*(-2)/m? 7 Let f(o) be the first derivative of -o**4/4 + 2*o**3 + 3*o**2/2 - 7*o + 1. Let k be f(6). Let t = k + -8. What is the units digit of t? 3 Suppose 3*g - 5*b = 2*g - 11, -g - 2*b = -10. Suppose -2*v + 93 = -o - g*o, -v = 5*o - 54. What is the units digit of v? 9 Suppose 2*k + 5*f = -19, 4*f - 3 = 3*k + 3*f. Let y be (-24)/1*k/4. What is the units digit of 105/y + 1/4? 9 Let c(f) = -f**2 + 23*f - 18. What is the hundreds digit of c(12)? 1 Let y(w) = 2*w + 8. Let d be y(0). What is the units digit of 1*36/d*2? 9 Let o(u) be the second derivative of -u**5/20 - u**4/6 - 5*u**3/6 - 3*u**2/2 - 2*u. What is the units digit of o(-3)? 1 Suppose 0 = h - 4*r - 53, -2*h = -0*r + 5*r - 54. What is the units digit of h? 7 Let u(k) = 111*k - 2. What is the tens digit of u(1)? 0 Let z be ((-2)/1)/((-1)/2). Suppose z*f - 9 = -1. What is the units digit of f? 2 Let z(r) = -r**3 - 5*r**2 - 5. What is the units digit of z(-6)? 1 Let w(n) = 9*n**2. Suppose 0*o = -3*o + 3. What is the units digit of w(o)? 9 Let l = 156 - 110. What is the tens digit of l? 4 What is the hundreds digit of ((7/21)/1)/((-2)/(-732))? 1 Let t be (160/30)/(2/3). Let b = t + 11. What is the units digit of b? 9 What is the units digit of (11 - 7) + 13*1? 7 Let l be ((-4)/3)/(9/27). What is the tens digit of ((-11)/l)/((-6)/(-48))? 2 Suppose h - r - 126 = 0, -2*h + 252 = 2*r - r. What is the tens digit of h? 2 Suppose 14*u - 117 = 5*u. What is the tens digit of u? 1 Suppose -4*i + 5 = -3. What is the units digit of i? 2 Suppose -3*g = -3*m + 4*m - 16, -m + 2 = g. Let s = g - 6. What is the units digit of s? 1 Suppose -5*v = 3*f - 28, 0 = 2*v - 0*f - 2*f - 8. Suppose v*i = i + 148. What is the tens digit of i? 3 Let q(z) = -z**2 - 7*z + 9. What is the units digit of q(-8)? 1 Suppose -3*y = -4*l - 18, 0 = 6*l - l. Suppose 2*v - 65 = -5*w, -y*w + 4*w + 70 = 3*v. What is the tens digit of v? 2 Suppose y - 32 = 3*y. What is the units digit of (-68)/y - 1/4? 4 Let q(m) = m**2 + 3*m + 3. Let f(w) = -w - 8. Let o be f(-4). What is the units digit of q(o)? 7 Let y(v) be the second derivative of -v**4/12 - v**3 + v**2/2 - v. Let a(x) = x. Let q be a(-6). What is the units digit of y(q)? 1 Let m be 5/5 - (-22 + 2). What is the units digit of (-2 + -1)*(-14)/m? 2 Suppose 0*c + 4*c + 8 = 0. Let u be (8/(-6))/(6/(-45)). Let d = c + u. What is the units digit of d? 8 Suppose 2*c - 20 = -2*c. Suppose r + 0*r + 3*l = -12, -3*l = -3*r + 24. Suppose 2*o + c*u - 1 = -o, -3*u = r*o - 3. What is the units digit of o? 2 Let t(q) = -11*q + 1 + q**2 - 3 + 4. Let f be t(6). Let y = -5 - f. What is the tens digit of y? 2 Suppose u + 0*u - 16 = -4*l, -u - 2 = -2*l. Suppose -4*f - l*i = -0*f - 37, -27 = -3*f - 2*i. What is the units digit of f? 7 Suppose 2*w + 3*j + 6 = 183, -5*w - 3*j + 420 = 0. Suppose q - 4*d = 17, -4*q + 2*d = -w + 13. What is the units digit of q? 7 Suppose 24*h = 25*h - 11. What is the tens digit of h? 1 Suppose 13*p + 144 = 15*p. Let b = p - 35. What is the units digit of b? 7 Let p = 77 - 51. What is the units digit of p? 6 Let m be (-3)/2*(-12)/(-9). Let o be m/6 + (-5)/(-15). Suppose -1 + o = -w. What is the units digit of w? 1 Let b = 28 - 5. Suppose 3 = -6*t + 4*t - c, -5*c = 2*t + b. What is the units digit of t? 1 Suppose 300 = 5*t - 5*d, 3*d - 48 = -3*t + 2*t. What is the units digit of t? 7 Suppose -3*n + 36 = -3*m + m, n + 4*m + 2 = 0. Suppose i - 9 - n = 0. What is the tens digit of i? 1 Let q = 2 - -3. Suppose 3*n = 7 + q. What is the units digit of n? 4 Let w(q) = q**2 + 4*q. What is the units digit of w(-6)? 2 Let u be (-46)/(-14) - (-2)/(-7). Suppose 5*n + 25 = 5*t, 4*t - u*n + n - 14 = 0. Suppose -3*f - 9 = -4*o, 3*f + t = 5. What is the
{ "pile_set_name": "DM Mathematics" }
37. Which is the nearest to 2? (a) s (b) q (c) g a Let d = 3951 - 3950. Which is the closest to 5/16? (a) d (b) 5 (c) -2/13 c Let a = -34.63 - -30.63. Let v = 15 + -14.9. What is the nearest to v in -5, a, -3? -3 Let h = 0.05823 - -1.94177. Which is the closest to -76? (a) 1 (b) h (c) -0.4 c Suppose 27*p = 142*p - 604*p - 4401. What is the closest to 0.056 in p, -0.1, 0.3? -0.1 Let i(b) = -2*b**3 - 83*b**2 - 260*b + 223. Let n be i(-38). What is the nearest to 0 in 4.4, n, 21? 4.4 Let t = -248 - -247. Let z = 0.171 - -67.829. What is the closest to t in 5, 2/13, z? 2/13 Let x = 10.2 + -10.1. Let z be (3/(-30))/(1/2). Let i(m) = -2*m + 39. Let y be i(18). What is the closest to y in z, x, -2? x Let v = 18.95 + -20. Let d = -5.05 - v. What is the closest to 2/7 in 0, d, 2? 0 Let s = 19 - 19. Let r(v) = -4*v**2 - 5*v + 3. Let f(i) = 2*i**2 + i + 1. Let t be f(0). Let g be r(t). What is the nearest to s in 0.1, g, -3/2? 0.1 Let x = -672 - -314. Let z = 360 + x. Let m be (-2 - -5) + 1/1. What is the closest to 2/5 in m, z, -1? -1 Let w be 6/(-4) - (-15)/10. Let g = -6.3 - 288.7. Let p = g - -296. What is the closest to w in p, -1/2, 2? -1/2 Let m = 0.5231 + -0.9231. Suppose 5*f - 39 = 1. What is the closest to -1 in -0.2, f, m? m Let i = -151358 - -151363. Let t = 1.3 - 0. Which is the nearest to 0? (a) i (b) t (c) -6 b Suppose 6*q - q = -40. Let p be (-2 - q/2) + (-11 - -11). Let i = -3/19 - -59/133. What is the nearest to i in 3, -0.4, p? -0.4 Let o be ((-93)/155)/(258/(-20)). What is the closest to -81 in -0.1, 5, o? -0.1 Suppose 0 = 236*w - 303 - 169. What is the closest to 9 in w, 14, 2/7, 2/3? 14 Let k = -2615 + 2616. Which is the nearest to -0.03? (a) 3/7 (b) -2 (c) k (d) 1/5 d Let l = 107 - 97. Let p = l + -10.2. What is the nearest to -0.1 in 0.2, p, -0.39? p Let y(h) = h + 5. Let s be y(7). Suppose 3*j = 3*q - s, 4*q = -j - 2*j - 19. Suppose 622*o - 109*o = -240*o + 1506. What is the nearest to -10 in -0.4, q, o? q Let v = 0.07 - 1.48. Let t = -1.11 - v. Suppose 0 = -z + 5*w + 20, 4*w = z + 6*w + 1. What is the nearest to -2/3 in -2, t, z? t Let d = 2049.4 - 2053.4. Which is the closest to 108? (a) -6 (b) d (c) 0.1 c Let u = 14833/100 - 593/4. Which is the nearest to -0.1? (a) -52 (b) u (c) 2 (d) 7 b Let w be (-29)/(-117) + ((-2)/9 - 0). Let b(l) = l**2 + 8*l - 148. Let k be b(-17). Let f = 0.9 - -0.1. What is the nearest to f in -2/13, w, k? w Let a be (-120)/(-27) + (-5 - 451/(-99)). Let s = 2/31 - 68/93. What is the closest to s in 6, 2, a? 2 Let p be (7 - 867/119)/(2 - (-24)/(-21)). What is the nearest to p in 0, 0.1, -0.1, 1.226? -0.1 Let v = -1.12 - -0.12. Let h = 5.054 - 5. Let i = -0.246 - h. What is the nearest to 0.1 in v, i, 0.2? 0.2 Let w = 6.24 - 2.24. What is the nearest to w in 4, 5, -2/9, 23? 4 Let z(n) = 219*n + 427. Let v be z(-2). Which is the nearest to 0? (a) 2/5 (b) v (c) -18 a Let u = 1.07 - 0.6. Let d = u - -0.53. Let l = 0.079 + 0.021. Which is the closest to -0.2? (a) -0.02 (b) d (c) l a Let v = 4.776 + -0.086. Let h = v + -4.6. Which is the closest to 3? (a) -4 (b) h (c) -0.1 b Let k(v) = 63*v + 303. Let d be k(-5). What is the closest to 0.1 in 5, 2/9, d? 2/9 Let y = 16960/3 + -5654. Which is the nearest to y? (a) 2/11 (b) 3 (c) 5 a Let l = -16434.6 - -16435. Let t = -2 + 4. Let j = t + -1. Which is the closest to j? (a) l (b) 2 (c) -0.3 a Let c = 4659 + -4654. What is the nearest to 7/11 in 2/3, 5/2, c, -2/3? 2/3 Let m = -1102 - -1102.1. Let f be (-2)/5*(-20)/24. Which is the nearest to m? (a) 10 (b) f (c) 1 b Let d be (6/4)/(17 - (14 - -1)). Let i = 2.897 + 0.103. Which is the nearest to d? (a) 5 (b) i (c) 1/40 c Let w = 0.8 - 1.6. Let s = w + 1.1. Let f = -1185.1 - -1185. What is the closest to -2 in f, s, -4? f Let l = -0.281 - 140.719. Let d = 136 + l. What is the closest to 0 in -0.2, d, 36? -0.2 Let o = -300 - -300.251. Let u = 0.051 - o. What is the closest to -1/5 in -4, u, -1, 3? u Let n = 4584 - 4590. Which is the closest to 0.1? (a) n (b) -4 (c) 5 b Suppose -103*r + 152 = -27*r. Which is the closest to 2/11? (a) 1/13 (b) -4 (c) 0 (d) r a Let b = 34.9 - 55.9. Let d = 74 - 519/7. What is the closest to d in b, 1, -4? 1 Let r = -4.29 + 2.29. Which is the nearest to r? (a) 2 (b) -1.1 (c) -0.1 (d) 4 b Let o = -4.128 - -0.128. Let d = -1.23 - -0.23. What is the closest to d in 27, 0.1, o? 0.1 Let f = -3264 - -3261. Which is the nearest to -3? (a) 3 (b) f (c) -16/7 b Let a = 7380 + -7380.9977. Let t = a - 0.0023. Let z be (-2 - 21/(-6)) + -1. What is the closest to -2/5 in t, -2/7, z? -2/7 Let v = -29505 - -29509. Which is the nearest to -110? (a) -0.1 (b) v (c) -0.4 c Let w(r) = r + 3 - 2 - 5 - 6. Let c be w(7). Let v be c*(2/(-24))/(6/8). What is the nearest to 3 in 0.4, -6/11, v? 0.4 Let z = -0.53 + 0.5. Let t = -1.4782 - -1.1782. Let k = -2.1 - -7.1. Which is the closest to 0.1? (a) k (b) z (c) t b Let j = 658.9 - 659.1. Let q = 9 + -1. Which is the nearest to 0? (a) -4 (b) q (c) 0 (d) j c Let z be 10/(-48) - 3/24. Suppose -66 = -5*w + 109. Let i be (15/w)/((-3)/(-4)). What is the nearest to z in 3/7, i, 2? 3/7 Let k = -203.1 - -203. Let w = 1510/3 - 503. Let m = -5 - -3. Which is the nearest to k? (a) m (b) w (c) 4 b Let j = 0.2 + 4.8. Let w = 1709/3426 - -2/1713. Which is the closest to -2/3? (a) w (b) j (c) -3 a Let b be (11/(-33)*8)/(2/(-54)). Suppose 0 = 7*n - n - b. What is the nearest to 1/2 in -1/4, n, 5? -1/4 Let m = 8.954 - 9. Let r = -0.076 - m. Let v = 622 + -622. What is the nearest to 0.1 in 0.1, v, r? 0.1 Let v(n) = -n**2 + 4. Let j be v(3). Let s = -0.152 - 0.148. Let h = -2537.7 - -2538. Which is the closest to h? (a) s (b) 5 (c) j a Let u = -38/33 + 185/132. Which is the nearest to -2/15? (a) 0 (b) 0.3 (c) u a Let w = -5 - -8. Let q = -33832 - -33834. Let z = 0.1 - 0. What is the nearest to q in w, 5, z? w Let j = -190 - -189. Let v = 2 - 1.9. Let y be (((-3)/(-1))/(-9))/((-4)/24). Which is the closest to 1? (a) v (b) j (c) y a Let v = 3.135 + -2.76. Let o = -0.275 + v. What is the nearest to o in -1, 5, 1/2? 1/2 Suppose -3*t = -0*t - 12. Let o = -4 + 4.5. Let m be (2/(-7))/((-284)/(-497)). What is the closest to m in o, t, -4? o Let x = -0.0254 + -2.5446. Let p = -2.47 - x. Which is the closest to p? (a) -23 (b) -1/4 (c) 1/4 c Let o = 3039.2 + -3039. What is the closest to -0.1 in 1, o, -4, -0.06? -0.06 Let p = 1548.7 - 1518.7. Which is the nearest to 0.1? (a) -1/4 (b) -3 (c) -4/3 (d) p a Suppose -6920 = -6*g - 6908. What is the nearest to -0.2 in 5, g, 0.3, -2? 0.3 Let s = -826 - -825. Which is the closest to -2? (a) s (b) 0.1 (c) -5 (d) 19/2 a Let g = -420.92 + 419. Let d = g - 0.08. Which is the closest to -0.3? (a) 0.2 (b) -5/7 (c) d b Let h = 499/40 - 63/5. Let n = 10.8 - -170.2. Let w = 184 - n. Which is the nearest to w? (a) h (b) -2 (c) -4 a Let v = -14.171 - -18.171. Which is the nearest to 753? (a) v (b) -2 (c) -0.5 a Let y = -2.6 - -3.6. Let q = -5/8 + 43/56. Let j = -2.2 - -0.2. Which is the closest to y? (a) q (b) 0.08 (c) j a Let j = -12172.9 + 12173. Which is the nearest to 0.1? (a) -4 (b) -0.5 (c) -4/7 (d) j d Let l = 10536 + -10531. What is the nearest to -2 in 12, -4, l, -0.1? -0.1 Suppose -2*t + 5*y = 14, 0 = 3*t + 2*t - 3*y - 3. Let l = 3.00976 + -0.00976. Which is the closest to t? (a) l (b) 0 (c) 2/9 a Let q = -11.9 + 4.1. Let p = 838 + -834.2. Let i = p + q. Which is the closest to 12? (a) 0 (b) i (c) 0.5 c Let v be ((-20)/(-230))/(-3 + 12/3). Suppose -6*k + 2*k - 3 = -a, 4*k = -2*a - 6. What is the closest to 2 in v, 4, k? v Let m = -20/1619 - 2978/21047. Which is the closest to -0.11? (a) -3/7 (b) m (c) 4 (d) 1/2 b Let d = 846.3 - 846.33. What is the closest to -1 in -208, -1/2, d? -1/2 Let x = 1550 + -1546. Let l = 0.084 + 0.016. Which is the closest to 0.1? (a) -3 (b) l (c) x b Let u = -2563 + 2573. What is the closest to 15 in -0.2, 0.3, -0.6, u? u Let r = -6 - -9. Suppose f - 10*f = -45. Suppose z = -z + p - f, -z - 15 = -3*p. Which is the closest to 2/31? (a) 5/4 (b) r (c) z c Let m = -11.35 - -1.55. Let x = 9.8 + m. Let n = 0 + -3. Which is the closest to x? (a) 2 (b) n (c) -0.3 c Suppose 585 + 2647 = -1616*o. Let x = 4 -
{ "pile_set_name": "DM Mathematics" }
*h**2 + 3*h - 10. Let i be s(8). What is the tens digit of i/(-35) - (-122)/5? 2 Let z = 3902 - 2754. What is the thousands digit of z? 1 Let l = 644 - -2418. What is the units digit of l? 2 Let y(c) = -c**2 + 7*c + 92. What is the tens digit of y(12)? 3 Suppose -4*h = h + 75. Let s = -76 - h. Let c = -42 - s. What is the units digit of c? 9 Let o(j) = -23*j - 98. Suppose -26*p + 12 = -28*p. What is the tens digit of o(p)? 4 Let n(y) = -162*y**3 + 20*y**2 + 60*y - 4. What is the hundreds digit of n(-3)? 3 Suppose -18*x + 1812 = -12*x. What is the hundreds digit of x? 3 Suppose 6*v + 44 = 2*v. Let m(u) = u**2 - 3*u + 7. Let b be m(5). Let q = v + b. What is the units digit of q? 6 What is the hundreds digit of -7*(-5)/((-30)/(-102))? 1 Suppose 5*t + 1096 = 4*i, -9*t - 1056 = -4*i - 14*t. What is the units digit of i? 9 Let z be (-7 + 2 - -4)/((-1)/(-95)). Let m = z - -112. What is the units digit of m? 7 Let v(a) = a**2 - 18*a - 7. Let q(n) = -n**3 - 5*n**2 + 2*n - 5. Let k be q(-6). Let x be v(k). What is the tens digit of (1 + 10)/(6/x)? 2 Suppose j + 2*u - 41 = -2*u, 15 = 3*u. Let p(n) = -n**3 + 3*n**2 + 4. Let r be p(3). Suppose -r*w + 71 = -j. What is the tens digit of w? 2 Let u = -4090 + 5745. What is the thousands digit of u? 1 Suppose -2*n + 163 + 25 = 0. Let x = -35 - -40. Suppose -t = 4*t - f - 208, -2*t + n = x*f. What is the tens digit of t? 4 What is the hundreds digit of (20*240)/3 + 18 + -13? 6 Let a = 52 - 83. Let q = 35 + a. Suppose -3*t = -q*t + 25. What is the units digit of t? 5 Let c be (-8 - -8) + 3/1. Let p(i) = 10*i + 4. Let s be p(11). What is the units digit of c*1/(9/s)? 8 Let k(s) = s - 7. Let g be k(10). Let v(b) = -g + 11*b - 7*b - 1. What is the tens digit of v(13)? 4 Let n(k) = 2*k**2 - 11*k + 14. Suppose 0 = -5*x + 5*l + 60, -26 - 2 = -x + 5*l. Let y be n(x). Let a = 112 - y. What is the units digit of a? 8 Suppose -15 = -9*r + 6*r. Let k = r - -9. Suppose 16*c - 70 = k*c. What is the units digit of c? 5 Let i = -843 + 1494. What is the hundreds digit of i? 6 Suppose 0 = 5*u - 4*b - 6251, 9*u - 5*u - 4*b - 5000 = 0. What is the units digit of u? 1 Let g = 998 - 479. What is the tens digit of g? 1 Suppose -t = 4*t - 1840. What is the units digit of t? 8 What is the tens digit of -3 + 6854/7 + 2/(-14)? 7 Let w(m) = 3*m + 23. Let o be w(-7). Suppose -29 = -3*s + o*s. What is the units digit of s? 9 Suppose 3*k = 2*t - 3107, 19*k - 4663 = -3*t + 24*k. What is the hundreds digit of t? 5 Suppose 39 = -4*k - 2*o - 603, o = -5*k - 804. Let r = k - -231. What is the units digit of r? 0 Suppose 0 = 44*w + 33*w - 159621. What is the hundreds digit of w? 0 Let p = -217 - -115. Let t = -60 - p. What is the units digit of t? 2 Let q = 34 + 6. Suppose 3*o - q = -y, 2*y + o + 0 - 60 = 0. Suppose 8*s = 10*s - y. What is the units digit of s? 4 Let u(i) = -36*i + 75. What is the hundreds digit of u(-12)? 5 Let u(r) = -19*r - 3. Let m be u(3). Let q = 123 + m. Suppose 0*v - 42 = -2*k - 3*v, 3*v = 5*k - q. What is the tens digit of k? 1 Suppose 2*x - 8 = -4*b, -x - 5*b = -2*x + 25. Let v(n) = 2*n - 14. What is the units digit of v(x)? 6 Suppose 5*j - 110 = 40. Let i = -4 + j. What is the units digit of i? 6 Let l = -10 + -15. Let u = 35 + l. What is the tens digit of u? 1 Let b = -19 - -22. Suppose 0 = -b*f + 15 - 3. Suppose o + o - 63 = z, 87 = 3*o - f*z. What is the units digit of o? 3 Suppose 32 = 4*p + 4*m, 9 + 8 = 4*p + m. Suppose -58 = -y + p*b, 3*b - 2*b = y - 62. What is the units digit of y? 4 Let f(w) = w**3 + 10*w**2 + 11*w - 16. Let q be f(-4). Let b be 96 - ((-2 - 0) + 2). Let g = b - q. What is the units digit of g? 0 Let c(n) = 11*n + 134. Let u be c(-12). Let w = 158 + -11. Suppose p = -u*p + w. What is the tens digit of p? 4 Let m be (2/6)/(1/102). What is the tens digit of (-27)/(-6)*m/3? 5 Let q(x) be the second derivative of 311*x**3/6 - 11*x**2/2 + 34*x. What is the units digit of q(1)? 0 Let v = -59 + 106. Suppose 2*l - 225 = -v. What is the tens digit of l? 8 Let i be 5/4 - 3/(-4). Suppose 0 = 2*w + 2, 2*h + i = h - 4*w. Let s(t) = 9*t - 1. What is the units digit of s(h)? 7 Let u = 9 + -1. Let w = -8 + u. Suppose -k + w + 22 = 0. What is the units digit of k? 2 Let g(q) = q**2 + 5*q - 2. Let h be g(-6). Let t be (1 - 2)*-4 - h. Suppose t = 4*c - 5*r - 289, 3*r + 203 = 3*c + 2*r. What is the units digit of c? 6 Let q = 13 - 35. Let x(b) = -6*b + 16. Let k be x(4). Let i = k - q. What is the tens digit of i? 1 Let o(y) = -1 + 3*y + 17 + 6 - 4*y. What is the tens digit of o(-8)? 3 Let z(n) = 5*n. Let b(j) = -9*j. Let k(w) = 6*b(w) + 11*z(w). Let m(c) = 12*c + 23. Let s(q) = -4*k(q) + m(q). What is the tens digit of s(7)? 7 Let g(b) = -2*b**2 - 10*b - 8. Let t be g(-6). Let q = t + 49. Let n = q + -8. What is the units digit of n? 1 Let q(m) = -17*m**2 - 2*m + 1. Let s(p) = 6*p**2 + p. Let n(x) = 2*q(x) + 7*s(x). What is the units digit of n(-1)? 7 Suppose 5*a - 70 = -0*a. What is the units digit of a/28 + (-105)/(-2)? 3 Let z(l) = 25*l**2 + 3*l - 2. Let u be z(-3). Let b = u + -149. What is the units digit of (82/5)/(26/b)? 1 Suppose 4788 = -6*s + 18*s. Suppose s = t + 108. What is the tens digit of t? 9 Let h be 3*-2*(-2)/(-1). Let o(b) = -6*b + 7. Let v be o(-8). Let k = v + h. What is the tens digit of k? 4 Suppose v + 20 = 5*v, 1319 = 2*g - v. What is the tens digit of g? 6 Suppose -6*b + b - 1390 = 4*p, 0 = 5*b + 2*p + 1400. Let m = -153 - b. What is the hundreds digit of m? 1 Let w = 30 + -14. What is the units digit of w/28*7/1? 4 Let q = 306 + -304. Let v be (-2 + 3)*-2 + 106. Suppose g - v = -3*t, -3*g + 4 = -q. What is the units digit of t? 4 Let n(q) = 125*q - 155. What is the tens digit of n(8)? 4 Suppose 4*g = -g - 10. Let b(y) = 11*y**2 + 5*y + 5. Let c be b(g). Let f = c - 23. What is the tens digit of f? 1 What is the units digit of 40150/2475 + 2/(-9)? 6 Let w(r) = -3*r - r + 2*r - 3 + r. Let o be w(-5). Suppose 4*b + 0*v = 2*v + 130, -60 = -o*b - 4*v. What is the tens digit of b? 3 Suppose 1 = -w - 8. Let d be (-789)/w - 4/6. Suppose 2*x = -3*a + d, -4*x - 3*a + 189 = -0*x. What is the units digit of x? 1 Let d = 1536 - 469. What is the units digit of d? 7 What is the tens digit of 5564/12 + 10/(-15)? 6 Let j(b) = 0 + b**3 - 8*b + 0*b + 3*b**2 + 3*b**2 - 3. Let c be j(-7). Suppose 0 = -c*n + 4 + 12. What is the units digit of n? 4 Suppose 0 = 2*d - 2*b - 292, -16 - 4 = 4*b. What is the tens digit of 4*3*(-3)/(-54)*d? 9 Let s(q) = -87*q**3 - q**2 + 2*q. Let r be s(1). Let z = -23 - r. What is the tens digit of z? 6 Suppose y + 13 = 16. Let l(n) = 40*n**3 - n**2. Let k be l(1). Suppose -81 - k = -y*z. What is the tens digit of z? 4 Let p be ((-2)/6)/(12/(-180)). Suppose 5*j = -2*t + 8, 4*j - p + 1 = -t. Suppose -7*f + t*f + 69 = 0. What is the units digit of f? 3 Let i(s) be the second derivative of s**4/6 - s**3/6 + 3*s - 1. Suppose -2*t - 4 = -4*t + 3*l, -t = 2*l + 5. What is the units digit of i(t)? 3 Let q(f) = f + 15. Let o(k) = k + 15. Let j(d) = 4*o(d) - 3*q(d). Let p be j(-7). Suppose -c - 3 - 4 = -v, 0 = v + 4*c + p. What is the units digit of v? 4 Let y be (-3 + 2 - 3) + 153. Let a = y + -97. What is the units digit of a? 2 Suppose 12070 = 25*r - 8*r. What is the units digit of r? 0 Let d = -13 - -225. What is the tens digit of d? 1 Let g(s) = 293*s**2 - 29*s - 63. What is the units digit of g(-2)? 7 Let k(v) = -2*v + 15. Let h be k(5). Let r(a) = 5*a + 19. What is the units digit of r(h)? 4 Suppose 64*t - 45*t = 71155. What is the tens digit of t? 4 Let t(f) = 3*f - 1. Let v be t(2). Suppose 2*m + 3*m + 2*j - 452 = 0, 3*m + j = 272. Suppose -v*u + 8*b = 3*b - 90, b - m = -4*u. What is the tens digit of u? 2 Suppose -8*u - 699 = -11*u. What is the hundreds digit of u? 2 Suppose w = -8 + 2. Let r = 21 - w. What is the tens digit of r? 2 Let z(x) = -3*x + 56. Let w(i) = -2*i + 28. Let d(h) = -5*w(h) + 3*z(h). What is the units digit of d(-10)? 8 Let g = 61 - 139. What is the tens digit of (g/(-4))/(9/18)? 3 What is the hundreds digit of 5376/(-960)*3590/(-8)? 5 Let h(n) = -n**3 - n**2 - 2. Let o be h(0). Suppose 5*k - 24 = -64. What is the tens digit of ((-52)/(-16))/(o/k)? 1 Let z = 510 + -356. What is the units digit of z? 4 Suppose 5*m - 2051 = -y, 437 = 5*m + 2*y - 1610. What i
{ "pile_set_name": "DM Mathematics" }
What is the nearest to -0.05 in -3/4, -3/5, -2, -7? -3/5 Which is the nearest to 2/5? (a) 16 (b) 0.2 (c) 3/2 (d) 0.3 d Which is the nearest to 0.11? (a) 0 (b) 0.1 (c) 14 b What is the nearest to -468 in 2, 1, 1/9, -1? -1 Which is the nearest to 1? (a) 0.1 (b) -18 (c) 5 (d) 3/5 d Which is the closest to 6/5? (a) -2 (b) 0 (c) 3/2 (d) -2/3 c Which is the closest to 0.1? (a) -5 (b) 0.1 (c) 0.2 (d) 0.009 b What is the nearest to -0.1 in 0, 0.4, 0.1, 0.019? 0 What is the nearest to 0.29 in -2/11, -0.2, 0.1, -5/3? 0.1 What is the closest to -29.5 in 0.3, -2/3, -2/61? -2/3 What is the closest to -2/3 in -2/7, 0.071, 0.1, 0? -2/7 What is the closest to 2 in -1/6, -1, 0.3, -2? 0.3 What is the nearest to -2 in 4/5, -0.015, -0.1? -0.1 Which is the closest to -2/7? (a) 22 (b) -0.2 (c) -1 b Which is the closest to 0? (a) 98 (b) -4 (c) 3/7 (d) -0.3 d What is the nearest to -1 in 6/11, 0, 0.011, 1? 0 Which is the closest to -2? (a) 1/2 (b) -4 (c) -12/7 (d) -0.4 c What is the nearest to -2 in 2/13, 56, 4? 2/13 What is the closest to -2/15 in -13, 5, -2/9? -2/9 What is the closest to -1 in -5, -9/2, 6, 5? -9/2 Which is the closest to -1/3? (a) -4/9 (b) 0.4 (c) -1.9 a Which is the closest to 1? (a) -0.1 (b) 3 (c) 0.4 (d) -51 c Which is the closest to -0.1? (a) 5 (b) 4 (c) 200 (d) 3 d What is the closest to 2/101 in -1, 0.4, -5, 15? 0.4 Which is the nearest to 0.33? (a) -3 (b) -1 (c) -31 b What is the closest to -31 in 0.07, -4, 2/17? -4 What is the closest to 114 in 2/61, -3, 0? 2/61 Which is the nearest to 2/3? (a) 2/15 (b) 1.35 (c) 2/9 (d) 4 c Which is the nearest to -0.2? (a) 1 (b) -167 (c) -4 a What is the nearest to -0.2 in 8, 0.4, -3/5? -3/5 What is the closest to 23 in 0.1, -0.1, -2, -2/7? 0.1 What is the closest to 0 in 0.075, 1/2, 0? 0 Which is the nearest to 0.2? (a) 2/9 (b) 18 (c) 0.5 a What is the closest to -1/376 in -3, 5, 1/8, -1/4? 1/8 What is the nearest to -2 in 0.2, 4/3, -2, -1/3? -2 Which is the nearest to 1/3? (a) 2 (b) 0 (c) -2 b What is the closest to -4 in 2/5, -5, -10? -5 Which is the nearest to 1? (a) -5 (b) 2 (c) -3 (d) -8 b Which is the nearest to 2? (a) -4 (b) -0.05 (c) -1 (d) 0.5 d What is the nearest to 9.91 in 0, -5, -0.3? 0 What is the nearest to -0.2 in -11, -1, -2, 0.38? 0.38 Which is the closest to 0? (a) -40 (b) 0 (c) 1 (d) 4 b Which is the closest to 2? (a) -0.3 (b) -148 (c) 2 c What is the nearest to 5 in 4/3, 2/7, -3, 3? 3 Which is the nearest to -2? (a) 4 (b) 5 (c) 81 a What is the closest to 6 in 1, -0.4, -377, -0.2? 1 What is the nearest to 0.02 in 6, 2/3, 0.3, -1/4? -1/4 Which is the closest to 1/3? (a) 1/5 (b) -11.1 (c) 3/7 c What is the nearest to -2 in 0.2, 6/5, -28/3? 0.2 What is the nearest to -14 in -1, 2, 64? -1 What is the nearest to -2/5 in -0.6, -1/10, 4.2? -0.6 Which is the closest to 1? (a) -3 (b) -4 (c) 3 (d) -2/11 d What is the nearest to 3 in 1/6, 0.3, 1/20, 3? 3 Which is the closest to 1? (a) 5 (b) 6 (c) 1/26 (d) 0.1 d What is the nearest to -2 in -6/11, 5/8, 1/3, -5? -6/11 Which is the nearest to 1? (a) -9 (b) 2/5 (c) 144 b What is the nearest to -3 in 7, 0.5, 1, -4? -4 What is the nearest to -1/4 in -1/76, -1/5, 3, 4? -1/5 Which is the closest to 1/4? (a) 4 (b) 0.35 (c) -4 (d) -6 b What is the nearest to -2/3 in -2, -0.06, 4/5, 8/7? -0.06 Which is the nearest to 1? (a) 1.4 (b) 0.3 (c) 2/9 (d) 3 a Which is the closest to -1/4? (a) -43 (b) 1 (c) 7 (d) -2 b What is the closest to -0.08 in 40, -3/4, -2? -3/4 Which is the closest to 2/7? (a) -36/23 (b) 0.5 (c) 4 (d) 0.07 b Which is the nearest to -1/3? (a) 52 (b) -0.5 (c) -2 b What is the closest to -1 in -23, 1/2, -3/4, 2/7? -3/4 Which is the closest to -21? (a) 1/4 (b) -5 (c) 4/3 b Which is the nearest to 0? (a) 0.06 (b) 48 (c) 2/3 (d) 2/5 a What is the nearest to -14 in -8, -1, 0.4? -8 Which is the closest to 0.2? (a) -1 (b) -1/8 (c) -9/2 b Which is the nearest to 0.1? (a) -1 (b) 4 (c) -54 (d) 1 d Which is the closest to 1? (a) -5 (b) -2/11 (c) -142 b Which is the closest to -8/3? (a) 3/8 (b) 3 (c) -2 (d) -1/2 c Which is the nearest to 2? (a) 0.1 (b) 3.5 (c) 1 (d) 2 d Which is the nearest to 4? (a) 5/4 (b) 2/15 (c) -1 (d) -0.1 a Which is the closest to 3? (a) -10 (b) -0.1 (c) -0.19 b What is the closest to -1/6 in 1/5, -0.1, -4? -0.1 Which is the nearest to 0? (a) 4/7 (b) 2 (c) 4 a What is the nearest to -0.3 in -4, -2/5, -26? -2/5 What is the nearest to -0.1 in -2/133, -6, 1? -2/133 Which is the nearest to -29? (a) 29 (b) -4 (c) 4 (d) 3 b What is the closest to 1 in -5, -8/5, -8/15? -8/15 Which is the closest to 1/3? (a) -22 (b) 0.1 (c) -7 b Which is the closest to -24? (a) 2/11 (b) 0 (c) 9 (d) -0.1 d What is the closest to 30 in -3, 5, -5? 5 What is the nearest to 2/5 in 0, -11/5, 2/5, 4? 2/5 What is the nearest to 0.1 in 73, -6, 2/9? 2/9 What is the closest to -35 in 4/7, 1/7, -0.3, -2/9? -0.3 What is the closest to 1/4 in 0.1, -1, 2, 2/277? 0.1 What is the closest to 3 in -5, -81, 1/3? 1/3 What is the closest to 0.1 in 3, -2/95, -0.5, -5? -2/95 What is the nearest to 7/6 in 2/7, -0.4, -1/3, -0.5? 2/7 What is the nearest to 0 in 2/9, -0.442, 1, 2/3? 2/9 What is the nearest to -6 in -0.02, -2/7, 0.2, 4? -2/7 Which is the nearest to 44/5? (a) 0.23 (b) -2/9 (c) 0.2 a Which is the nearest to -0.1? (a) -3 (b) 200 (c) -1 (d) -5 c What is the nearest to -1 in 1/4, 3, 2, 0? 0 Which is the closest to -4? (a) 0.5 (b) -0.3 (c) -3/7 (d) 0.3 c Which is the closest to -96? (a) -8 (b) -1/9 (c) -1 (d) 2 a What is the nearest to 0.6 in 6, 1, -1/2? 1 Which is the nearest to -1? (a) 38 (b) 0.4 (c) -2 c What is the closest to 1 in 302, 0.1, 0.3, 0.2? 0.3 Which is the closest to -2/9? (a) -2 (b) -1/4 (c) -0.5 (d) 0.19 b Which is the closest to 0.1? (a) -2/5 (b) -2 (c) -119 (d) -5 a What is the closest to 0 in -3, -19/3, 2/11, 0.4? 2/11 Which is the nearest to 1? (a) 1 (b) -2/5 (c) 4/37 a What is the nearest to 0 in -1, 0.4, -4/3, 3/19? 3/19 What is the nearest to 1 in 3/8, 1/5, 4? 3/8 Which is the closest to 0? (a) 0.3 (b) -4 (c) -0.7 (d) 3 a What is the nearest to 0.1 in -9, 2, -2/3, 0.5? 0.5 What is the closest to 0.1 in 5, 4/9, -18, -2? 4/9 Which is the closest to 0? (a) -4 (b) 8 (c) -0.038 c Which is the nearest to 1? (a) -1/5 (b) -10/11 (c) 2/29 c What is the nearest to -0.1 in 2, -0.4, 5, 0.3? -0.4 What is the nearest to 377 in -0.4, 1/3, -0.09, -3? 1/3 What is the nearest to 35 in 0, -4, -5, -7? 0 What is the closest to 1/3 in -5, -0.2, -0.493? -0.2 Which is the nearest to -3? (a) 141 (b) 2 (c) -2/27 (d) 4 c Which is the nearest to -1? (a) -49/16 (b) -3 (c) -2 c What is the nearest to -0.3 in 49, -2, -2/13? -2/13 What is the closest to -2/3 in -0.1, 0, -23/32, -2/7? -23/32 Which is the nearest to -1? (a) -45 (b) -0.2 (c) -3 b Which is the nearest to 2/5? (a) 5 (b) 2 (c) -5 b Which is the closest to 1/3? (a) -1/4 (b) 7 (c) -2/7 a What is the nearest to -0.0245 in 2, 0.1, -5, 1/5? 0.1 Which is the closest to 1? (a) 0.2 (b) 0.3 (c) 1/11 b What is the nearest to 12 in 4, 1/13, 3, 0.9? 4 What is the closest to 1 in 5, 3/5, -0.9? 3/5 What is the closest to -0.5 in -1/3, 1/3, -2, 2/11? -1/3 What is the nearest to 3/2 in -0.25, -0.3, -0.4? -0.25 What is the closest to -1 in -1, -2/43, 0.1, 0? -1 What is the nearest to 0 in -2, 0.5, -2.9, 1? 0.5 Which is the closest to -2? (a) -3 (b) 5 (c) 2.4 (d) 0.1 a Which is the nearest to 11? (a) 0.9 (b) 0 (c) 1/6 (d) 0.1 a Which is the closest to 0? (a) -0.4 (b) 2/11 (c) -0.3 (d) -209 b Which is the nearest to 1? (a) 3/5 (b) -2 (c) 0.01 a Which is the nearest to -3.53? (a) -2/9 (b) 0 (c) -0.1 a Which is the nearest to 1? (a) 0.4 (b) 0.02 (c) 5/4 (d) -0.1 c What is the closest to 0 in 2/3, 0.2, -0.087, 1? -0.087 Which is the nearest to -2/15? (a) 1 (b) 4 (c) 4/3 (d) -0.5 d What is the closest to 2/5 in 0.4, -33, -1/3, -1? 0.4 Which is the nearest to 3? (a) -2 (b) 18 (c) 0 c Which is the nearest to 1? (a) -0.05 (b) -0.07 (c) 1/2 (d) 1/3 c Which is the nearest to 0.5? (a) -0.4 (b) 1.9 (c) 1 c Which is the closest to 0.15? (a) -15 (b) 5 (c) -4 c Which is the nearest to -0.2? (a) 0.4 (
{ "pile_set_name": "DM Mathematics" }
s prob of picking 1 e and 1 g when two letters picked without replacement from geuuuuig? 1/14 Three letters picked without replacement from {h: 1, r: 2, k: 1, y: 2, f: 1, s: 1}. Give prob of picking 1 f, 1 r, and 1 h. 1/28 What is prob of picking 1 h and 2 x when three letters picked without replacement from {h: 2, s: 1, z: 3, x: 12, q: 2}? 11/95 Three letters picked without replacement from nqfnqnyn. What is prob of picking 1 y and 2 q? 1/56 Calculate prob of picking 2 l when two letters picked without replacement from {s: 3, f: 1, l: 4, h: 2, b: 4}. 6/91 Two letters picked without replacement from uduyuuyddudddduuduu. Give prob of picking 2 d. 28/171 Calculate prob of picking 2 m when two letters picked without replacement from nmmmonmnmnmmom. 4/13 Three letters picked without replacement from lpsssllslss. What is prob of picking 1 p and 2 l? 2/55 Calculate prob of picking 2 p, 1 x, and 1 d when four letters picked without replacement from pvsxvppdvxspdo. 24/1001 What is prob of picking 4 r when four letters picked without replacement from {a: 1, y: 2, z: 1, r: 3}? 0 What is prob of picking 1 c and 1 q when two letters picked without replacement from {q: 2, c: 10}? 10/33 What is prob of picking 1 s and 2 t when three letters picked without replacement from wpbttswssspsbbs? 6/455 What is prob of picking 2 e when two letters picked without replacement from eeeeieeeeeeee? 11/13 What is prob of picking 3 q when three letters picked without replacement from quuuuuuqquuuuq? 1/91 What is prob of picking 1 u and 3 n when four letters picked without replacement from {n: 4, u: 6}? 4/35 Calculate prob of picking 1 f, 1 v, 1 k, and 1 n when four letters picked without replacement from {n: 1, k: 1, l: 7, v: 4, s: 2, f: 2}. 2/595 Calculate prob of picking 1 t and 1 l when two letters picked without replacement from ltwlrtt. 2/7 Calculate prob of picking 1 o and 3 t when four letters picked without replacement from {t: 7, o: 3}. 1/2 Three letters picked without replacement from {p: 12, g: 7}. What is prob of picking 3 g? 35/969 Two letters picked without replacement from dvbxf. What is prob of picking 1 b and 1 d? 1/10 Two letters picked without replacement from {l: 4, w: 3, p: 2, h: 1, t: 2, n: 3}. Give prob of picking 1 h and 1 n. 1/35 Two letters picked without replacement from cciccccicc. What is prob of picking 2 c? 28/45 What is prob of picking 2 i and 2 q when four letters picked without replacement from {o: 2, q: 3, i: 3}? 9/70 What is prob of picking 1 t, 1 s, and 1 d when three letters picked without replacement from ssswsidwttjd? 4/55 Four letters picked without replacement from {m: 3, v: 5, c: 3}. What is prob of picking 2 v and 2 m? 1/11 What is prob of picking 1 n, 1 r, and 2 m when four letters picked without replacement from {w: 1, r: 1, k: 1, m: 2, o: 1, n: 1}? 1/35 Calculate prob of picking 3 v when three letters picked without replacement from {k: 11, v: 9}. 7/95 Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ptttbptbtttttttttbtt. 3/19 Four letters picked without replacement from {o: 2, t: 1, n: 5, r: 1}. What is prob of picking 1 t, 1 r, and 2 n? 5/63 Three letters picked without replacement from filfllllll. What is prob of picking 2 i and 1 f? 0 Two letters picked without replacement from mmumummmm. What is prob of picking 1 u and 1 m? 7/18 Calculate prob of picking 1 x, 1 c, and 2 h when four letters picked without replacement from hhcxqwqwwqbq. 1/495 Two letters picked without replacement from wiiwisuis. What is prob of picking 1 i and 1 u? 1/9 What is prob of picking 1 m and 1 h when two letters picked without replacement from hhmvwhvwvhcvhyh? 2/35 Calculate prob of picking 2 d when two letters picked without replacement from xdrrdw. 1/15 Three letters picked without replacement from uopoocpo. What is prob of picking 1 c and 2 o? 3/28 Calculate prob of picking 2 h when two letters picked without replacement from uhhuhhhuhuhuhuhuuuhh. 11/38 What is prob of picking 1 v and 2 o when three letters picked without replacement from oeevddiodevooovo? 9/112 Calculate prob of picking 1 e and 2 r when three letters picked without replacement from rjjererre. 3/14 Calculate prob of picking 1 w, 2 l, and 1 z when four letters picked without replacement from lzjzllzwlwszwlw. 32/273 Two letters picked without replacement from oswwwssoesssoebswos. What is prob of picking 1 s and 1 w? 32/171 Two letters picked without replacement from {a: 2, g: 5}. What is prob of picking 1 g and 1 a? 10/21 What is prob of picking 3 t and 1 e when four letters picked without replacement from wthtwwteettewheew? 5/238 Two letters picked without replacement from ggggqq. Give prob of picking 1 g and 1 q. 8/15 Three letters picked without replacement from vlbvvvlvlvvllvl. What is prob of picking 1 l and 2 v? 24/65 Calculate prob of picking 1 d and 1 y when two letters picked without replacement from yhbuhhuubudhyb. 2/91 Three letters picked without replacement from {x: 3, a: 1, p: 3, e: 13}. Give prob of picking 1 e and 2 p. 13/380 Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {x: 1, h: 2, p: 2, n: 2, u: 1}. 1/14 What is prob of picking 1 i, 1 g, and 1 v when three letters picked without replacement from egeyvxvvvviii? 15/286 Two letters picked without replacement from jyjymmmmmjmymyj. Give prob of picking 2 y. 2/35 Calculate prob of picking 1 c, 1 a, 1 m, and 1 e when four letters picked without replacement from ggmlcea. 1/35 Three letters picked without replacement from {m: 3, x: 3, g: 3, p: 8}. What is prob of picking 1 m, 1 g, and 1 p? 9/85 Four letters picked without replacement from oooooooooo. What is prob of picking 4 o? 1 What is prob of picking 1 v, 1 q, and 1 g when three letters picked without replacement from {v: 6, g: 1, q: 10}? 3/34 Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {m: 1, c: 2, u: 4, q: 9}. 1/30 Three letters picked without replacement from {p: 2, u: 2, z: 2, g: 1, k: 1}. What is prob of picking 1 g and 2 p? 1/56 Three letters picked without replacement from {q: 12, g: 1, k: 3}. What is prob of picking 1 q and 2 k? 9/140 Two letters picked without replacement from {d: 2, l: 4}. What is prob of picking 2 d? 1/15 Four letters picked without replacement from {y: 9, n: 3}. What is prob of picking 3 n and 1 y? 1/55 What is prob of picking 2 c when two letters picked without replacement from {z: 1, c: 5, m: 3, v: 7}? 1/12 Calculate prob of picking 2 e, 1 v, and 1 m when four letters picked without replacement from {m: 3, v: 5, e: 6, h: 3}. 45/476 What is prob of picking 1 p and 1 i when two letters picked without replacement from sppiiiiisiii? 8/33 Three letters picked without replacement from jrrrrrrrrrrrjrjr. What is prob of picking 3 r? 143/280 Two letters picked without replacement from mmmnnummnb. What is prob of picking 1 b and 1 n? 1/15 Three letters picked without replacement from ewexxwxewww. What is prob of picking 3 e? 1/165 What is prob of picking 2 v when two letters picked without replacement from {k: 7, v: 6}? 5/26 Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {u: 3, c: 4, e: 2, z: 6}. 6/35 Three letters picked without replacement from {a: 2, n: 5, t: 1, e: 3, m: 1, r: 1}. What is prob of picking 1 a and 2 n? 10/143 What is prob of picking 1 z, 1 f, and 1 j when three letters picked without replacement from {z: 6, f: 5, j: 4, s: 4}? 40/323 Calculate prob of picking 1 g and 1 w when two letters picked without replacement from gwgigipiii. 1/15 Four letters picked without replacement from otaatataaaatqttaaaqt. Give prob of picking 1 o, 1 t, and 2 a. 21/323 What is prob of picking 2 p when two letters picked without replacement from aacppkcacaakkta? 1/105 What is prob of picking 1 c and 1 o when two letters picked without replacement from vvobc? 1/10 Calculate prob of picking 1 i and 2 p when three letters picked without replacement from {c: 1, p: 2, i: 2}. 1/5 What is prob of picking 1 h, 1 i, 1 r, and 1 e when four letters picked without replacement from qhhrhihhihehhuu? 16/1365 Four letters picked without replacement from mmmfddb. What is prob of picking 1 f and 3 m? 1/35
{ "pile_set_name": "DM Mathematics" }
60? False Is 110586 a multiple of 21? True Is 187122 a multiple of 16? False Does 531 divide 3430791? True Is 57 a factor of 1250858? False Is 2 a factor of 1297? False Is 12 a factor of 21024? True Is 383436 a multiple of 37? False Is 8312610 a multiple of 30? True Is 62 a factor of 197160? True Does 52 divide 2083328? True Does 577 divide 155838? False Is 104 a factor of 8736? True Does 5 divide 1319749? False Does 23 divide 355766? False Does 794 divide 2703938? False Is 8149696 a multiple of 480? False Is 44 a factor of 261614? False Is 256120 a multiple of 198? False Is 15 a factor of 469185? True Is 12 a factor of 7471948? False Is 2084728 a multiple of 37? True Is 505335 a multiple of 5? True Is 16 a factor of 733296? True Is 11 a factor of 251295? True Does 59 divide 508371? False Does 344 divide 4333712? True Is 143 a factor of 181606? False Is 527 a factor of 3518254? False Is 33335 a multiple of 6? False Is 423303 a multiple of 12? False Is 17210 a multiple of 83? False Is 647343 a multiple of 17? True Does 61 divide 819327? False Is 2010715 a multiple of 34? False Does 780 divide 7910455? False Is 4502690 a multiple of 9? False Is 334 a factor of 1201284? False Is 7865022 a multiple of 45? False Is 8 a factor of 4249472? True Does 333 divide 274059? True Does 8 divide 776224? True Is 181 a factor of 282360? True Is 235 a factor of 6604440? True Is 2453744 a multiple of 231? False Is 172294 a multiple of 311? True Does 75 divide 13875? True Is 248560 even? True Is 7 a factor of 20364? False Is 138 a factor of 1349637? False Does 3 divide 9115? False Is 9194084 a multiple of 39? False Is 790248 a multiple of 76? True Does 115 divide 1988144? False Is 203952 a multiple of 14? True Does 25 divide 1500825? True Is 8 a factor of 2893040? True Does 783 divide 4059855? True Is 17 a factor of 174357? False Does 157 divide 726596? True Is 152586 a multiple of 98? True Is 5738488 a multiple of 392? True Is 18649 a multiple of 3? False Does 10 divide 375380? True Is 55522 a multiple of 46? True Is 548 a factor of 143104? False Does 3 divide 41608? False Is 146 a factor of 475522? True Is 266190 a multiple of 2? True Does 35 divide 3519635? True Does 208 divide 93664? False Does 4 divide 161120? True Is 25 a factor of 60388? False Does 486 divide 2558790? True Does 831 divide 11389891? False Does 25 divide 2234802? False Is 14 a factor of 851276? False Does 13 divide 252959? False Is 63138 a multiple of 619? True Is 115 a factor of 4985411? False Is 1516597 a multiple of 3? False Is 20 a factor of 460870? False Is 451366 a multiple of 55? False Is 139 a factor of 2303925? True Is 12908805 a multiple of 48? False Does 138 divide 140905? False Is 235 a factor of 28200? True Does 469 divide 115374? True Is 414027 a multiple of 537? True Is 7281892 a multiple of 23? True Does 120 divide 1691880? True Is 309 a factor of 64513? False Is 52 a factor of 895024? True Is 7 a factor of 288463? True Does 468 divide 548952? False Does 20 divide 973480? True Is 2804533 a multiple of 19? True Is 2737 a multiple of 23? True Is 1068 a factor of 1190820? True Is 289 a factor of 866444? False Does 6 divide 61722? True Does 254 divide 154432? True Is 2 a factor of 937370? True Is 1966074 a multiple of 20? False Is 112905 a multiple of 11? False Is 225 a factor of 171900? True Is 220 a factor of 128920? True Is 7 a factor of 28493626? True Is 51 a factor of 1272501? True Is 74151 a multiple of 321? True Is 115 a factor of 1741187? False Does 22 divide 7709925? False Is 702214 a multiple of 7? False Is 1261470 a multiple of 218? False Does 17 divide 6923488? True Does 22 divide 474387? False Is 75 a factor of 232431? False Is 12 a factor of 3224? False Does 51 divide 26306286? False Is 5115708 a multiple of 884? True Is 208 a factor of 305344? True Is 4702 a multiple of 5? False Is 113412 a multiple of 78? True Is 2188373 a multiple of 346? False Is 4542657 a multiple of 21? True Is 19 a factor of 633371? False Is 5 a factor of 488372? False Is 22 a factor of 188144? True Is 13 a factor of 8155815? False Does 67 divide 1251309? False Is 4 a factor of 229104? True Is 31 a factor of 120283? False Is 92 a factor of 471776? True Does 545 divide 4290306? False Is 81 a factor of 455350? False Does 187 divide 164295? False Is 2781350 a multiple of 275? True Is 9480288 a multiple of 204? True Does 447 divide 15010935? False Is 14 a factor of 1715498? False Is 2801621 a multiple of 363? False Is 34 a factor of 4258398? True Is 6 a factor of 424608? True Is 72 a factor of 44153? False Does 30 divide 2641980? True Is 8 a factor of 468984? True Is 103 a factor of 2123435? False Is 575733 a multiple of 707? False Does 550 divide 2917604? False Is 24 a factor of 4235016? True Does 11 divide 4251621? True Is 297 a factor of 7006397? False Is 4035719 a multiple of 793? False Is 9063093 a multiple of 52? False Does 294 divide 38657? False Is 1520063 a multiple of 34? False Is 2285849 a multiple of 55? False Does 69 divide 863604? True Does 172 divide 3628856? True Is 290 a factor of 234610? True Is 252 a factor of 580687? False Does 44 divide 1251787? False Is 448 a factor of 146099? False Is 5792109 a multiple of 20? False Is 19 a factor of 142367? True Does 3006 divide 13394711? False Does 119 divide 721735? True Does 105 divide 4323895? False Does 3 divide 22233? True Is 26 a factor of 555233? False Is 573098 a multiple of 241? True Does 13 divide 655655? True Is 45 a factor of 8606835? True Does 12 divide 764868? True Is 136 a factor of 523192? True Is 4835636 a multiple of 49? False Does 363 divide 123456? False Is 693225 a multiple of 25? True Does 13 divide 1780? False Is 5 a factor of 1952569? False Does 8 divide 430496? True Is 29 a factor of 974298? False Is 285 a factor of 99180? True Is 163 a factor of 477065? False Is 50 a factor of 128943? False Is 13 a factor of 280280? True Is 24 a factor of 634684? False Is 1337267 a multiple of 307? False Does 47 divide 7343891? True Is 129 a factor of 751861? False Does 6 divide 1007351? False Does 1147 divide 1488806? True Is 25607934 a multiple of 18? True Does 108 divide 1695455? False Does 2 divide 62328? True Is 55519 a multiple of 59? True Is 265 a factor of 88245? True Is 29 a factor of 155411? True Is 1430488 a multiple of 243? False Does 188 divide 1344952? True Is 11 a factor of 4905700? False Does 10 divide 228140? True Is 80 a factor of 4878880? True Is 2039880 a multiple of 12? True Does 32 divide 315188? False Is 379974 a multiple of 166? True Does 1161 divide 2160621? True Is 609902 a multiple of 110? False Does 25 divide 12700? True Does 69 divide 11438337? True Does 420 divide 394230? False Is 6 a factor of 851850? True Is 409 a factor of 26372? False Is 11893914 a multiple of 31? False Does 105 divide 403305? True Does 13 divide 5252923? True Does 58 divide 6752708? True Is 5 a factor of 62911? False Is 372034 a multiple of 349? True Is 2017200 a multiple of 600? True Is 151455 a multiple of 115? True Is 43 a factor of 23448774? False Is 119 a factor of 3740251? False Is 19 a factor of 1899630? False Does 2 divide 43813? False Is 25 a factor of 157875? True Is 2404092 a multiple of 7? False Is 9297637 a multiple of 138? False Is 218 a factor of 116848? True Does 211 divide 336756? True Is 712750 a multiple of 125? True Does 13 divide 2839382? True Is 318 a factor of 20309693? False Is 1231998 a multiple of 18? False Does 22 divide 102916? True Is 14 a factor of 34109042? False Does 849 divide 11454049? False Is 19 a factor of 274436? True Is 21 a factor of 1430856? True Is 135392 a multiple of 32? True Is 405405 a multiple of 63? True Does 128 divide 1794432? True Is 28856 a multiple of 8? True Is 559326 a multiple of 438? True Does 63 divide 237573? True Does 22 divide 5409281? False Does 222 divide 2102041? False Is 249978 a multiple of 17? False Does 13 divide 4981210? True Does 29 divide 612467? False Is 710 a factor of 347946? False Is 296581 a multiple of 506? False Is 4 a factor of 435500? True Is 1622712 a multiple of 56? True Is 168108 a multiple of 68? False Is 13 a factor of 193258? True Does 347 divide 3097669? True Is 607 a factor of 262302? False Does 13 divide 3586271? True Does 21 divide 884?
{ "pile_set_name": "DM Mathematics" }
22*q as d*q + a and give a. 1 Rearrange b - b - b + (-5573 - 3684 + 8035)*(-18*b + 2*b + 4*b) + (5 - 2 - 2)*(2 - 2 + 2*b) to the form a + f*b and give f. 14665 Rearrange (11 + d - 11)*(-2 - 330*d - 466*d - 2*d**2 + 2*d**3 - 713*d) to s + o*d**2 + j*d + t*d**4 + k*d**3 and give t. 2 Express -176*o - 2 - 16*o**2 + 12*o**2 + 177*o - 39*o**2 + 1 as w*o + n + i*o**2 and give n. -1 Express -p + 4 + 58*p**3 + 10*p**3 - 138*p**3 - 7*p**3 in the form x*p**3 + u*p**2 + j*p + t and give t. 4 Rearrange -i**3 + 2*i**2 + 0*i + 0*i + (-2*i**2 - 3*i**2 - 15*i**2)*(-5 + 0 + 2)*(i + 3*i - 6*i) to u + h*i + w*i**2 + l*i**3 and give w. 2 Rearrange 0*r**4 - 3*r**4 - r**4 + (10*r + 5 - 5)*(-17 - 34*r + 17)*(-r**2 + 2*r**2 - 5*r**2) to v*r**2 + q*r**3 + g*r**4 + a + k*r and give k. 0 Rearrange -24*i**2 - 1 + 44*i + 2*i**3 - 21*i - 4*i - 21*i + 0 to the form n + d*i**3 + q*i**2 + z*i and give q. -24 Rearrange (-4623*y**2 - 1689250*y + 1689250*y)*(-2*y - 3 + 3) to the form j*y**2 + b*y + r + n*y**3 and give j. 0 Rearrange -1365 - 172*j**2 - 1359 + 4081 - 1360 - 3*j**3 + 4*j**3 to n*j**3 + d*j**2 + l + a*j and give n. 1 Rearrange (-1 + 1 + 2)*(-2 + 4 - 1)*(327*z**3 - 10908 - 655*z**3 + z**2 + 329*z**3) to the form h + r*z + k*z**3 + l*z**2 and give l. 2 Rearrange -12*i**4 - 9*i**4 + 0*i**4 + (-i + i + 3*i**3)*(i - 4*i + 2*i) + 12*i**4 + 22*i**4 + 34*i**4 to v*i + u + z*i**3 + c*i**2 + a*i**4 and give a. 44 Rearrange 33*v**2 - 61*v**2 - 16 + 27*v**2 - 1 to the form j*v + k + y*v**2 and give k. -17 Rearrange (-4*f + 4*f - f)*(f + 0*f + 2*f) + 335 + 243 - 4*f + 42*f**2 - 576 to the form r + b*f**2 + o*f and give b. 39 Express (-82*q - 47*q + 78*q)*(-7*q + 5*q**2 + 8*q + 2*q + 4*q**3) in the form s*q**3 + r*q**4 + n*q + k + h*q**2 and give r. -204 Express -14*x - 61 - 258 + 2*x**3 + 12*x + 7*x - 63 as h*x + p*x**3 + j + s*x**2 and give s. 0 Express (-3 + 3 - 12)*(x**4 - 38 + 5*x**2 + 38) in the form j + g*x + c*x**2 + q*x**3 + r*x**4 and give r. -12 Rearrange 3*a**2 + a**2 + 0*a**2 + a + (-2 - 9 + 3)*(5 - 5 - 2)*(-584*a**2 - 345*a**2 + 28*a**2) to the form i + z*a + x*a**2 and give z. 1 Rearrange -3 + 3 + 2*d + (2*d - 4*d + d)*(2 + 0 - 4) + 5*d - 5*d + d - d + 2*d + 0*d + 34037*d - 3 + 10801*d + 3 + 24817*d - 17619*d to f + g*d and give g. 52042 Express (-1 + 1 - 3*y)*(-5*y - 7 + 7)*(-45 - 52 - 7) as x*y + i + r*y**2 and give r. -1560 Express (-2*h**2 + 2*h**2 - 2*h**2)*(7*h + 3*h + 0*h) + 3 - 3 - 20*h**3 in the form j*h**3 + o + m*h + g*h**2 and give j. -40 Express (-254 - 100 + 497)*(-5*a + 3*a - 8*a) in the form i*a + x and give i. -1430 Express 203*p**3 - 5*p**2 + 3*p - 2*p**2 + 107 - 2*p**2 + 11*p**2 - 208*p**3 in the form a*p + d + c*p**2 + v*p**3 and give v. -5 Rearrange a + 11*a**3 - 203*a**2 + 2 + 2*a - 11 + 205*a**2 to the form r*a + d + l*a**3 + k*a**2 and give k. 2 Express -36*k**2 - 6*k**3 - 25*k + 0*k**3 + 9*k**3 - 4*k**3 in the form n + v*k + g*k**3 + p*k**2 and give v. -25 Rearrange 270301*k**3 + 5785*k**4 - 540608*k**3 + 270309*k**3 + 1 to t*k + x*k**4 + f*k**2 + s + o*k**3 and give o. 2 Express -2*v**3 + 299*v**2 - 1192*v**2 - 57*v**4 + 296*v**2 + 9 + 294*v**2 + 301*v**2 in the form f*v**4 + j*v**3 + b*v + t + s*v**2 and give j. -2 Rearrange 1 + 797*i**2 - 1707*i**2 - i + 651*i**2 + 627*i**2 to the form q*i**2 + f + t*i and give q. 368 Rearrange 15*v**3 - 10 + 18476*v - 18476*v + 11*v**4 to the form s*v**3 + b*v + y*v**2 + j*v**4 + u and give s. 15 Express -78*l + 350*l**2 + 3932*l**2 + 78*l - 595*l**2 in the form v*l**2 + j*l + b and give v. 3687 Express (2708*d**4 + 926*d**4 + 811*d**4 + (0*d + 2*d + 0*d)*(0*d**3 + 3*d**3 - 2*d**3))*(4 + 0 - 6) in the form z*d**3 + p*d**4 + n + k*d + g*d**2 and give p. -8894 Express 242 + 265*f - 518*f - 31*f**3 + 2 + 254*f as c + q*f**3 + u*f**2 + z*f and give c. 244 Rearrange -789 - 23*o**3 + 790 - 227*o**3 to c*o + g*o**3 + a*o**2 + i and give i. 1 Express 0*h + 2*h - 4*h - h + 6*h - 3*h - 3 - 6*h + 3 + (1 - 4 - 2)*(24*h - 30 + 30) as f + w*h and give w. -126 Express -48*k**3 - 84*k - 1 + 89*k - 2*k**2 + 104*k**3 as v*k + m*k**3 + h + b*k**2 and give m. 56 Express (1 + 1 - 4)*(-1 + 13*m - 2 + 2 + 35*m - 45*m - 58*m + (-3 + 2 + 0)*(2*m + 2 - 2)) in the form a*m + t and give t. 2 Express -1 + 463*a + 104*a**2 + 12*a**3 - 929*a + 3*a**2 + 466*a in the form d + u*a**2 + l*a**3 + r*a and give u. 107 Express -5*b**3 - 10765*b**2 + 10766*b**2 + 5*b - 6*b + 3*b**4 as i*b**2 + c + p*b**3 + h*b**4 + m*b and give p. -5 Express 534*j - 128*j + 19 - 211*j - 74*j in the form o + f*j and give o. 19 Express -20*f**4 - f + 2 + 176*f**4 + 2*f**3 - 4312*f**2 + 2150*f**2 + 2160*f**2 in the form i + a*f + l*f**3 + w*f**4 + n*f**2 and give l. 2 Express 125092 - 2*q + 5*q**2 + 3*q - 125092 - 26*q**4 + q**3 in the form a*q**2 + w + x*q**3 + z*q**4 + i*q and give x. 1 Express 1567*f + 1448*f + 771*f - 192*f as v + a*f and give a. 3594 Express 912 + 946 - 1858 + 275*o + 3011*o in the form q + h*o and give h. 3286 Rearrange (-4*a**2 + 5*a**2 - 2*a**2)*(18*a**2 + 493*a**2 - 156*a**2) - a**3 - 2*a**4 + a**3 to the form s*a**4 + b*a**3 + f*a**2 + u*a + i and give s. -357 Rearrange 14 - 102*w + 34*w - 15 - 4 to the form x + u*w and give x. -5 Express (13*v + 16*v - 11*v)*(-4448*v + 2234*v + 2222*v + 46) as l + i*v**2 + t*v and give i. 144 Express -33*n - 43*n + 76*n - 2251*n**2 - 2911*n**2 + (-4 + 0 + 2)*(-2*n**2 - 3 + 3) in the form j + l*n + b*n**2 and give j. 0 Rearrange 9*y**2 - 10*y - 3*y**3 - y + 5*y**3 to the form s*y**2 + n*y + g*y**3 + p and give g. 2 Express 0 + 4370*b + 0 - 15733*b as o + u*b and give u. -11363 Express -15 - 21 + 76 - 21 - 1033*v - 20 as w + f*v and give w. -1 Express 159 + 614089*l**2 - 1228179*l**2 + 614084*l**2 as c + t*l + x*l**2 and give c. 159 Express (2*v**2 + 2*v**2 - 2*v**2)*(-1 + 1 + 2) - 147*v**2 - 469*v**2 - 88*v**2 in the form w + o*v**2 + r*v and give o. -700 Express -t - 205 + 5*t**3 - 201 - 6*t**3 - 59 - 988 in the form n + m*t**3 + h*t + q*t**2 and give h. -1 Rearrange 19847*n - 38865*n + 2 + 20320*n - 5 to p + h*n and give h. 1302 Express -268*c**2 - 828*c**2 - 16*c + 4*c + 13*c in the form x*c**2 + s + l*c and give l. 1 Express (-3*o + 3*o - o)*(8 + 2 - 2)*(0 + 0 - 2) + (-2 + 4 + 23)*(-2*o + 3 - 3) - 2*o - 1 + 1 as m + x*o and give m. 0 Express (2 + 2 - 1)*(-1 - 10 + 2)*(-69 + 82 - 85)*(15*h - 5*h - 3*h) as u*h + d and give u. 13608 Rearrange 96*y**3 - 313*y**3 + 91*y**3 + 4*y + 105*y**3 to the form d*y**2 + f*y**3 + t*y + j and give t. 4 Rearrange -9792*o + 3264*o + 4*o**2 + 10 + 3265*o + 3266*o + 10*o**3 - o**3 to c*o**3 + f*o + p*o**2 + t and give f. 3 Express 2*y - 9*y**2 - 12*y**2 - 10*y**2 + 11 + 46*y**2 - 11*y**2 in the form u*y**2 + c*y + x and give u. 4 Express -32615*n - 1787*n + 4868*n in the form r*n + v and give r. -29534 Express (4 + 1 - 4)*(-635*p**2 + 853*p**2 + 313*p**2 - 1) in the form u*p + y + q*p**2 and give y. -1 Rearrange (w - 4*w + 0*w)*(3*w - w - 4*w) - 2*w**2 - 2*w**2 + w**2 + 8*w**2 - 59*w**2 - 14*w**2 to f + l*w**2 + m*w and give l. -62 Rearrange 1 + 3 + 645*o + 1 - 8 + 0 to the form b*o + s and give b. 645 Rearrange (-32*q + 38*q - 47*q)*(q**2 - q**2 - q**2) + (-38*q**2 + 37*q**2 - 137 + 701)*(3*q - 3*q - 2*q) to n + x*q + m*q**3 + i*q**2 and give x. -1128 Express (-2*t**2 + 2*t**2 - t**2 + t)*((2*t + t - 4*t)*(-1 - 3 + 6) + (421 - 1761 - 132)*(-4*t + 3*t + 2*t)) in the form y*t**3 + m*t**2 + h*t + l and give y. 1474 Rearrange 5*b**4 - 17231*b**3 + 5 - 17232*b**3 + 34488*b**3 to a*b + c*b**3 + t*b**4 + d + p*b**2 and give t. 5 Express 2833892 - k**3 + 74*k**4 - 4*k - 2833895 - 2*k**2 - 2*k as q*k**4 + x*k + t*k**2 + r + y*k**3 and give r. -3 Express -3771*g - 1831*g - 4842*g as p*g + n and give p. -10444 Rearrange 36*r**2 - 505 + 505 + (r - r + r)*(59*r - 63*r - 23*r) to the form b + v*r + a*r**2 and give a. 9 Express (-19*c**3 + 206*c**2 - 206*c**2)*(-3*c + 2*c + 4*c) - 51*c**4 + 39*c**4 - 65*c**4 as z*c**2 + w + y*c + l*c**4 + g*c**3 and give l. -134 Rearrange -2*g**3 - 81 - 77*g**4 + 0*g + 46*g**4 + 0*g to the form v*g**4 + d*g**2 + x*g + r*g**3 + k and give r. -2 Express -1 + 0 - 42*p**4 + 60*p**4 + 3*p**3 + (-3 + 4 - 3)*(p**4 + 6*p**4 - p**4) as r + h*p**3 + j*p**2 + k*p + d*p**4 and give h. 3 Rearrange (54 + 233 - 925 - 773)*(-8*d + 8*d - 2*d**4) + 5*d**4 - d**
{ "pile_set_name": "DM Mathematics" }
(-5)/(10 - 5)? -2 What is (-6*14/(-105))/(14/(-5))? -2/7 What is 1088/(-256) - 5/(-4)? -3 What is 144/45 - (-8)/10? 4 20/125*(-20)/(-8) 2/5 Evaluate 12/8*(-1 - 22/(-24)). -1/8 What is 2/24 - (-784)/(-192)? -4 Evaluate 135/(-810)*6/(-13). 1/13 What is the value of 20/45*7/(-4) - -1? 2/9 Calculate (-2 + (-18)/(-7))/(-1 - -3). 2/7 Evaluate (-11)/(-22)*((-1 - 0) + 15). 7 (-10)/(-3) + (-164)/123 2 Evaluate 8/30 + (10 - (-128)/(-12)). -2/5 What is -12*(-6)/(-27) + 24/12? -2/3 What is 470/50 - 10 - 31/(-35)? 2/7 What is (36/54)/(2/24)? 8 (-15)/(-10) + 17/(-10) -1/5 Calculate 3 + (-2)/(28/46). -2/7 What is the value of 7 + -4 + 15/(-6)? 1/2 What is (-416)/80 + (8/(-10) - 0)? -6 Calculate (-2 - (-10)/8) + 1 + 0. 1/4 Calculate ((-3)/(6/4))/(40/(-100)). 5 28/26 - (-3)/(-39) 1 (-7*9/(-252))/((-3)/(-4)) 1/3 Evaluate 4 - ((-648)/28)/(-6). 1/7 What is 3/(-7 - -4)*(-10)/45? 2/9 What is the value of (50 - 45)/(2 - (-6)/(-8))? 4 36/8*(-20)/(-18) 5 Evaluate (-4)/22 - 0 - (-40)/220. 0 Evaluate (4/184)/((-1)/(-4)). 2/23 42/56 + (1 - 2)/(-4) 1 Calculate (-1 - (135/(-20) + 0)) + -5. 3/4 What is the value of 7 + 13/(130/(-100))? -3 What is (5/130 - 0)/((-5)/20)? -2/13 What is the value of (2 + -2)*(1 - 2)? 0 What is (-3)/9*0 + 8/(-44)? -2/11 What is 40/(-102) - (-116)/1972? -1/3 What is 25/2*((-290)/50 - -6)? 5/2 (-6)/9*(-1)/(4/(-6)) -1 (1/(-2))/(3/(-6) - 0) 1 (-68)/(-17) - (5 - (1 + 1)) 1 What is 7 + (-1122)/143 + -1 + 2? 2/13 What is 3/(-2) + (-150)/140 + 2? -4/7 Calculate (-8)/(-10)*15/3. 4 What is the value of (-17)/(-28) + (10 - (-663)/(-68))? 6/7 What is 16/(-104) - (-54)/13? 4 What is 2/(-5)*13/(-52)? 1/10 Calculate (-340)/350 - (-2)/5. -4/7 -10 + (4 + -9 - -8) -7 What is the value of 2/(-6)*(3 + (-36)/4)? 2 ((-3)/(-15))/((-288)/(-45) - 6) 1/2 What is (-140)/(-315) + 4/18? 2/3 Evaluate (18/20)/(12/5). 3/8 What is -9*(-8)/180 - 17/5? -3 What is the value of (65/(-39) - 3/2) + 3? -1/6 What is the value of (0 - -4)*(-7 + (-69)/(-10))? -2/5 (69/15 + -4)*(-5)/(-1) 3 What is the value of -2 + 24/11 + 0/41? 2/11 Calculate 30/(-70)*21/(-15). 3/5 What is the value of 2/(-15)*12*4/16? -2/5 Calculate 2 + (-15 - -16) + 1 + -1. 3 What is the value of -2*(-9)/(-12)*40/15? -4 What is 6/(-4)*(76/24 + -3)? -1/4 Evaluate 138/(-506)*6/(-9). 2/11 Evaluate 97/(-291)*(8 - 0). -8/3 Calculate 12/3 + 9 + -11. 2 Calculate (8/(-264))/(2/12*-2). 1/11 What is the value of 4/12*2/(-4)*-6? 1 What is (-10)/(-6)*(14 + 377/(-26))? -5/6 What is ((-496)/(-155))/(16/10 + -2)? -8 What is the value of (-32)/(-45) - (210/(-54) + 4)? 3/5 Calculate (-24)/(-36) - 16/6. -2 What is the value of (20/(-40))/(2*2/(-4))? 1/2 What is the value of ((-9)/(-6))/((-2)/(12/3))? -3 (-4*12/120)/(1/(-5)) 2 185/(-105) - (-9)/21 -4/3 (-1)/2 + 12/(-8) + 6 4 (-1)/(31/12 - 1/4) -3/7 Calculate 22/(-18) - 56/(-252). -1 Evaluate 6 + -4 - (-78)/(-18). -7/3 Evaluate ((-4)/(-12))/(2 - (-7)/(-3)). -1 What is 330/(-605) - 16/11? -2 What is the value of (-63)/(-14) + -2 + (-9)/2? -2 Calculate 55/(-22) + (-1)/(8/(-28)). 1 What is the value of 3*15/((-270)/48)? -8 Evaluate 15/9*(-432)/(-120). 6 Evaluate 1/1 - (-10 + 5) - 2. 4 ((-20)/14)/((-72)/84) 5/3 Calculate ((-32)/120)/((-4)/(-6)). -2/5 What is 6*1 + -7 + 3 + 1? 3 (-1)/(2/(-2)) - 1 0 What is (-66)/8 - 6/(-24) - -6? -2 Evaluate ((-40)/(-176))/((-20)/(-16)). 2/11 What is 3/((-1)/((-6)/9) - 3)? -2 Evaluate (-84)/(-28)*2/6. 1 What is 42/35 - (-4)/5? 2 What is -2*(7 + (-232)/32)? 1/2 (((-44)/(-8))/11)/(2/4) 1 What is ((-180)/(-8))/(-15) + -1? -5/2 What is -4 + 1 - 6/(-9)*-3? -5 Evaluate (36/(-20))/3 - 6/40. -3/4 Calculate ((-21)/14)/((-36)/(-16)). -2/3 138/(-22) + -8 + (18 - 4) -3/11 (0 - 3/(-4))/((-54)/(-16)) 2/9 Calculate (-70)/(-56)*44/55. 1 Calculate 144/528 + 28/(-22). -1 Evaluate (-1)/(-6)*(-2 - 7). -3/2 Evaluate (-19)/(-44) + 112/(-616). 1/4 Evaluate 9/180*2*6*1. 3/5 Evaluate 4/(-32)*-4*-1*-6. 3 Calculate 8 + (-9 + 12)*-4. -4 Evaluate (-10)/(-55) + 8/(-22). -2/11 What is 36/30*(-1 - (-2)/3)? -2/5 What is the value of 90/25*4/(-6) - -2? -2/5 Calculate -2 - 27/21 - (-8)/28. -3 -4*5/(-4)*1/(-2) -5/2 What is (-1 - (-40)/30)*6/14? 1/7 (2/5)/(-1) + (-99)/(-660) -1/4 (2*(-2)/8)/(7/(-28)) 2 (8 + -2 - 4) + -7 -5 What is (2 + -7)/1 - 3520/(-715)? -1/13 Calculate ((-8)/(-7))/(-15 - 1284/(-84)). 4 Evaluate (7/((-49)/2))/(1/(-7)). 2 What is 2/17 + (15 + -15)/(-10)? 2/17 What is the value of (5/6)/((-4)/(-24))? 5 Evaluate 1/((-4)/16) - (-5 - -5). -4 What is ((-1 + 3)*1)/(14/21)? 3 (-3)/2*(6 - (-154)/(-21)) 2 ((-1582)/(-147) - 11)*18/(-15) 2/7 What is the value of 21/(-6) + 2 - -1? -1/2 What is ((-9)/6 - -2)/(-18 + 17)? -1/2 What is the value of ((-3)/(-3))/(-6) + 4/(-8)? -2/3 Calculate 0*(-2)/(-4) + 11/(-22). -1/2 What is ((-51)/(-56) - 1) + (-153)/(-408)? 2/7 (-112)/21*-1 - 6 -2/3 What is the value of 4/34 + (-1160)/(-6902)? 2/7 (-49)/(-7) - (-15)/((-105)/28) 3 (0 - 1)/(3 - 5/2) -2 What is (-704)/(-693) + 12/(-21)? 4/9 What is 81/(-9) + 67/7? 4/7 Calculate ((9/(-6))/(1/2))/3. -1 Calculate (-3)/(27/(-2)) - 86/(-18). 5 Calculate ((-3)/4)/((-1197)/(-456)). -2/7 Calculate -3 + (2 + -8)*(2 + -3). 3 Calculate (5/40)/((-3)/(-28)) + -1. 1/6 -2 + 6/(-5 - 26/(-4)) 2 Evaluate (2/(-30))/(4/24). -2/5 Evaluate ((-42)/35)/(-6*5/200). 8 Evaluate ((-1)/2 - 16/16)/(-15). 1/10 Evaluate ((-3)/2)/(5 - 9/2). -3 What is the value of (28/49)/((-4 + 2)*1)? -2/7 What is the value of ((-1)/7 + 0)*(17 - 15)? -2/7 What is (-28)/21 + 16/(-24)? -2 What is the value of (-54)/6 - (-84)/12? -2 What is (0 - (-4)/(-8))*4? -2 Evaluate (1/3)/((-10)/(-270)*9). 1 What is 0 - (4 - (7 + -8))? -5 What is the value of -11 + 88/8 + 3? 3 What is the value of (0 + (-6)/(-6))*(-1 + -2)? -3 -1 + (-2 - (-4)/(28/19)) -2/7 Calculate (-16)/(-2)*1/4. 2 Evaluate ((-78)/39)/(((-2)/(-4))/(-1)). 4 -4 - 7/((-98)/60) 2/7 What is 0*(80/105 - 30/70)? 0 Evaluate 27/(-63) - 4/(28/(-3)). 0 Calculate 10 - 18/297*162. 2/11 Evaluate 5*(-2 - -3)*(3 - 2). 5 Calculate -2 - (2/(-5))/(2/20). 2 What is the value of (-1)/(-1)*2/6? 1/3 What is the value of (4/30)/((-5)/15)? -2/5 What is the value of (-38)/(-95)*(3/(-12) + -1)? -1/2 What is the value of (-36)/(-10) + 0 + (-3)/5? 3 What is the value of 7/(-42)*-6*-1? -1 What is the value of (9 + -4 + -2)*(-2)/3? -2 What is the value of ((-7)/(-28)*-7)/((-2)/(-8))? -7 Evaluate 5 + -2 + (-4 - 0 - -4). 3 What is the value of (-33)/(-15) - (-3)/15*-1? 2 What is 0 - 4/(-5) - (20 + -19)? -1/5 Evaluate 180/(-60) - (5 + 0). -8 What is the value of 8/(-3) - (-2)/(-3)*-6? 4/3 Calculate (-357)/(-28) + -12 - (-13)/(-12). -1/3 Evaluate (2/2 - -4)/((-40)/10). -5/4 (12/(-8))/((-40)/16) 3/5 Evaluate 6/(-12)*(-5 - -5). 0 What is -1 - (715/91 - 9)? 1/7 Calculate 1 - (-6 - (210/(-27) + 1)). 2/9 What is the value of (-2*(-3)/36)/((-1)/4)? -2/3 Evaluate ((-4)/6 - -1)/(38/684). 6 12*7/(-112)*8 -6 Calculate 4/9 + (-96)/(-27). 4 What is the value of 6 + 6/51 + 1422/(-238)? 1/7 What is ((-2)/(-12))/(8/(-16))? -1/3 (8 - 11) + (-1 - -1)/(-3) -3 ((-24)/(-42))/(2/14) 4 What is (2/(-3))/(20/(-6))? 1/5 Calculate (5/12)/(20/12). 1/4 Evaluate (-14)/56*(7 - 1). -3/2 Calculate 5 + 56/24 - (-2)/3. 8 Evaluate -6*(85/(-30) - -3)*2. -2 What is ((70/7)/(-30))/((-5)/120)? 8 What is 12/27 - 14/(-63)? 2/3 (4 - 2)/(1 - 28/20) -5 Evaluate -4*2/(-144)*(10 + -13). -1/6 Calculate ((-44)/11)/(52/117). -9 What is 4/(-2)*((-70)/(-65) - 1)? -2/13 Evaluate 1*(0 + 3*(-10)/(-15)). 2 What is -4*(-6)/(-12)*6/(-4)? 3 Evaluate 1*5/(-30)*3/(-2). 1/4 What is 2/10*(-38 + 36)? -2/5 What is the value of 2/9*((-15 - -15) + -3)? -2/3 What is (4/(-10))/((-143)/55)? 2/13 What is -3 - (-2 - (4 + 1))? 4 5/5*2*(-15)/(-270) 1/9 What is the value of -2 + (-10)/(-3) - (-5)/(-15)? 1 What is 21/(-33) - -1 - 372/176? -7/4 What is the value of 5/6*18/(-60)? -1/4 Calculate ((-20)/(-25))/(-2 - (-12)/5). 2 Calculate (-16)/(-12) + (-7)/3. -1 What is 8/60 - 64/30? -2 ((-455)/(-63) - 1) + -6 2/9 What is ((-75)/(-10))/5 + (-3)/6? 1 What is (-15)/(-21)*(-3 + 17/5)? 2/7 Evaluate (-245)/(-77) - 42/14. 2/11 290/(-3625)*5/3 -2/15 What is (-3)/2*-6 - 5? 4 Calculate 0/6 + -1 + 0. -1 (-1)/6 - 1/(-30) -2/15 Calculate (-4)/(-20) + 0 + (-11)/5. -2 What is the value of 3/((-3)/(0 - -3))? -3 What is the value of 8/16*(1 + -2 + 1)? 0 Calculate 15 + -9*48/36. 3 1/(22/60 - 10/(-75)) 2 What is the value of 10 +
{ "pile_set_name": "DM Mathematics" }
Suppose -2*y - g = -5*y. Calculate the highest common factor of y and 8. 8 Suppose 2*t = -4 + 16. Let r be (4/t)/((-6)/(-117)). Calculate the greatest common factor of r and 13. 13 Suppose -3*y = 2*y - 25. Let k(m) = 4*m - 4. Let j(q) = 3*q - 4. Let s(l) = -5*j(l) + 4*k(l). Let c be s(y). Calculate the highest common factor of 9 and c. 9 Let z = 37 - 32. What is the highest common factor of 50 and z? 5 Suppose 0*s + 4*s = 284. Suppose -l = -0*l + 5, -3*l = -4*j + s. Calculate the highest common divisor of j and 42. 14 Let c(d) = 28*d + 2*d - 9*d + 23*d. Let x be c(1). What is the highest common divisor of x and 4? 4 Suppose 2*u - f + 2*f = 160, -2*f - 160 = -2*u. What is the greatest common divisor of 10 and u? 10 Let c be 4 - (-2 - -4)*1. Calculate the greatest common divisor of c and 4. 2 Suppose 4*v - 20 = -v. Suppose w = -v*w + 150. What is the greatest common factor of w and 12? 6 Let f(a) = -77*a - 1. Let t be f(-2). Suppose -3*s - 57 = -t. What is the highest common factor of 8 and s? 8 Let t be -5*12/(-10) + 3. Calculate the greatest common divisor of 54 and t. 9 Suppose -2*l - 5*w + 3 = 0, -3*l = -4*l - 5*w - 1. Let n be 2/8 - (-74)/(-8). Let q be ((-48)/n)/((-1)/(-3)). What is the highest common divisor of q and l? 4 Let d(v) = v + 63. Let x be d(-34). What is the greatest common divisor of x and 29? 29 Let b(p) = p + 18. Let x be b(12). What is the highest common divisor of x and 30? 30 Let p(d) = -d**3 - 4*d**2 + 2*d - 1. Let w be p(-5). Let y = w - 11. Let f be (1/2)/((-3)/(-18)). What is the highest common divisor of f and y? 3 Let j be (-1)/(-1*-4*(-3)/252). What is the highest common factor of j and 84? 21 Let v be 2/(-6) + 80/15. Suppose -v*l = -l - 104. Calculate the greatest common divisor of 13 and l. 13 Let z(d) = d**2 + 2*d - 1. Let t(q) = -3*q + 3. Let m be t(2). Let u be z(m). Let l = 177 - 155. Calculate the highest common factor of l and u. 2 Let a be 3 + (-4 - -3) - -2. What is the highest common divisor of 44 and a? 4 Suppose -2 - 8 = -2*u. Suppose -u*r = -26 - 254. What is the highest common factor of 7 and r? 7 Suppose 3*r = -r + 5*m + 12, 5*m - 4 = 2*r. Let w = -32 - -96. What is the highest common factor of r and w? 8 Suppose 24 = o + o. What is the greatest common divisor of o and 2? 2 Let j(b) = -2*b + 2 + 0 + b**2 + 8*b. Let r be j(-6). What is the highest common divisor of 8 and r? 2 Suppose 9*i - 90 = 4*i. Calculate the greatest common divisor of 27 and i. 9 Let d = 118 - -534. Suppose -3*a - 2*f = -d, -892 = -4*a + 7*f - 4*f. Calculate the greatest common divisor of 20 and a. 20 Let h be 6 - (2 - (-4 + 3)). Let c be 60/h*(-3)/(-6). Calculate the highest common divisor of 15 and c. 5 Suppose 3 = 4*p - 17, -4*p = -5*l + 20. Suppose 80 = 4*t - 0*t. What is the highest common divisor of t and l? 4 Suppose 4*d - 8 - 4 = 0. Let p = 1 + d. What is the greatest common factor of 12 and p? 4 Suppose 0 = r - 5, 3*a - 3*r - 1 = 2. What is the highest common factor of a and 2? 2 Let c = 47 - 39. Calculate the greatest common factor of c and 10. 2 Let w(t) = -t**2 + 12*t - 9. Let i be -4*-1*(-31)/(-4). Suppose -3*v - 4 + i = 0. Let d be w(v). Calculate the highest common divisor of 2 and d. 2 Suppose t + t - 110 = 0. Let k = t - 39. What is the greatest common divisor of 176 and k? 16 Let l be (128/48)/(2/39). Let o(h) = -2*h**2 + 2*h - 2. Let f be o(2). Let b be l/2*(-3)/f. What is the greatest common factor of 104 and b? 13 Let m(l) = 5*l - 2. Let h be m(5). Let y = h + -11. Calculate the highest common divisor of y and 30. 6 Let m be (-93)/(-15) + 2/(-10). Suppose -g + m = 2. Let r = -3 - -4. What is the highest common divisor of r and g? 1 Suppose 2*a = 9 + 7. Let j = 151 - 79. What is the greatest common factor of a and j? 8 Suppose -17*o - 157 = -616. What is the greatest common factor of 108 and o? 27 Let s be (-22)/(-6) + 1/3. Let u(x) = x**2 + 2*x - 6. Let f be u(s). Let j = 40 - f. Calculate the highest common divisor of 198 and j. 22 Let p be (-1)/(-4) + (-99)/(-4). Calculate the greatest common divisor of 5 and p. 5 Let b = 48 - 12. Suppose -5*u + u = -b. Suppose 2*x - 49 = 5*k, -3*x + 79 = -0*x - 2*k. Calculate the highest common divisor of x and u. 9 Let w = 0 - -2. Suppose 3*h - 2*h - f - 1 = 0, -w*h = 4*f - 8. Calculate the highest common divisor of h and 2. 2 Suppose 2*l = 5*l + 3. Let a be (l/(-2))/(3/60). Calculate the highest common divisor of a and 20. 10 Let d = 0 + -2. Let o be (-1)/2 - 37/d. What is the highest common factor of o and 27? 9 Let u = 37 - 25. What is the highest common factor of u and 36? 12 Let v(s) = 5*s**2 - 1. Let d be v(1). What is the highest common factor of d and 20? 4 Suppose 0 = 2*n + 2*a + 2, 0 = 6*n - 3*n + 2*a - 2. Let l be n/(-10) - 72/(-5). Calculate the greatest common divisor of 154 and l. 14 Let o = 16 - 12. Let u be (-1)/4 - (-41)/o. What is the greatest common factor of u and 2? 2 Suppose 0 = j - 7 - 7. Let d be (77/j)/((-1)/(-6)). Calculate the greatest common factor of 3 and d. 3 Suppose 5*r + 69 = 3*g, g - 25 = -r + 2*r. Calculate the highest common factor of g and 112. 28 Let k be 3/3*(-144)/(-1). Suppose -4*a + 12 = 2*g - 28, -4*a + 88 = 5*g. Calculate the highest common factor of g and k. 16 Suppose -2*d - 3*d + 10 = 0. Suppose -l + 2*z + d + 2 = 0, z + 5 = 2*l. Calculate the highest common factor of 2 and l. 2 Let p be 4/(-14) + (-230)/(-70). Calculate the highest common divisor of p and 24. 3 Suppose 3*i = -2*h + 59, h - 55 = -3*i - 0*i. Suppose -16 = -5*l - 1. Suppose -i + 2 = -l*k. Calculate the greatest common divisor of k and 2. 1 Let o be (-5 - 1)*1*16/(-3). Calculate the highest common divisor of 32 and o. 32 Suppose 5*t + 60 = 8*t. What is the greatest common factor of t and 4? 4 Let i(o) = 13*o + 4 - 2 + 2 - 3. Let t be i(3). Calculate the greatest common factor of t and 20. 20 Let g be (10 - 2/1)/1. Suppose t = 3, -5*t + t + 362 = 5*d. Suppose 3*i = d + 122. What is the highest common factor of i and g? 8 Let z(c) = c**2 - c + 18. Let b be z(0). Let r(t) = -t**2 + 17*t - 21. Let y be r(6). What is the highest common divisor of b and y? 9 Suppose 2*d + 246 - 26 = m, 0 = -5*m + d + 1082. Let r = -56 - -80. What is the greatest common divisor of m and r? 24 Let w = -65 - -165. Calculate the highest common divisor of 10 and w. 10 Let n be (-2)/9 + (-778)/(-18). Suppose 35 + n = 2*o. Calculate the highest common divisor of o and 26. 13 Let x(r) = -3 - 9 + 1 + 4*r + 0. Let u be x(5). Calculate the greatest common factor of u and 36. 9 Suppose -n = 2*n - 168. What is the highest common factor of n and 7? 7 Let r be ((-2)/(-4))/(1/10). Let k(i) = i**3 - 5*i**2 + 3*i. Let m be k(4). Let d be 3/6 - 18/m. Calculate the highest common divisor of d and r. 5 Suppose 0 = -l - 3*v - 11, 0*v - v = 4. Let o be (-6)/1*l/(-2). Suppose -o*r = -0*r - 45. What is the greatest common factor of 15 and r? 15 Suppose -3*n = -5*b + 2*n + 50, -b + 3*n = -20. Let p = 0 + b. Suppose 1 = a, -5*x + p*a + 76 = a. What is the greatest common divisor of 8 and x? 8 Suppose -4*m + 134 = 30. Calculate the highest common divisor of 65 and m. 13 Let x(k) = -k - 8. Let o be (0 + 6/3)*-5. Let y be x(o). Suppose -4*q + 22 = 3*h - y*q, 5*h - 15 = q. Calculate the highest common factor of h and 16. 4 Let p(m) = m + 4. Let g be p(-7). Let d be ((-11)/g)/((-1)/(-18)). Suppose 0 = -4*b - 0*b + 24. Calculate the highest common factor of d and b. 6 Let b = 231 + -114. Calculate the highest common divisor of b and 13. 13 Suppose 5*i - 2*t = 25, 0 = 3*i + t - 15. Let g be (-9)/(i/((-80)/3)). What is the greatest common factor of g and 32? 16 Let o be ((-6)/4)/(7/(-504)). Calculate the highest common divisor of o and 24. 12 Suppose -4*l - i + 8 = -l, 3*l - 4*i + 2 = 0. Calculate the greatest common factor of l and 14. 2 Let a = 7 - 2. Let r be ((-8)/10)/(10/(-25)). What is the greatest common factor of r and a? 1 Let p = 83 + -55. Let c be 0 + -1 + p + 0. Calculate the greatest common factor of 18 and c. 9 Let c(i) = -i**3 - 7*i**2 - 2*i - 9. Let z be c(-7). What is the highest common factor of 45 and z? 5 Let s(z) = z**3 + 9*z**2 + 8*z + 7. Let u be s(-8). What is the greatest common divisor of 28 and u? 7 Let d(g) = g**2 + 5*g + 1. Let l be d(-9). Suppose 2*r + 5*v - l = 0, 3*r + 4*v + 14 -
{ "pile_set_name": "DM Mathematics" }
1, 1519, 2275, 3029? -i**2 + 761*i + 1 What is the l'th term of 32923, 32924, 32925, 32926, 32927, 32928? l + 32922 What is the r'th term of -25, -78, -167, -292, -453, -650? -18*r**2 + r - 8 What is the g'th term of -48, -177, -386, -669, -1020, -1433, -1902, -2421? g**3 - 46*g**2 + 2*g - 5 What is the w'th term of 1599, 3198, 4801, 6408, 8019, 9634, 11253? 2*w**2 + 1593*w + 4 What is the g'th term of -319, -1347, -3061, -5461, -8547? -343*g**2 + g + 23 What is the y'th term of -27, -56, -85? -29*y + 2 What is the k'th term of 5097, 10181, 15253, 20307, 25337, 30337, 35301? -k**3 + 5091*k + 7 What is the l'th term of 95, 91, 83, 71, 55, 35, 11? -2*l**2 + 2*l + 95 What is the p'th term of -64, -227, -506, -907, -1436, -2099? -p**3 - 52*p**2 - 11 What is the s'th term of -923, -1845, -2767, -3689, -4611? -922*s - 1 What is the j'th term of -109, -117, -129, -145? -2*j**2 - 2*j - 105 What is the a'th term of -630, -631, -634, -639, -646? -a**2 + 2*a - 631 What is the i'th term of -2094, -4190, -6284, -8376? i**2 - 2099*i + 4 What is the n'th term of 147, 291, 441, 603, 783, 987, 1221? n**3 - 3*n**2 + 146*n + 3 What is the d'th term of -10, -9, -8, -7, -6, -5? d - 11 What is the f'th term of 162, 151, 126, 81, 10, -93, -234? -f**3 - f**2 - f + 165 What is the a'th term of -160, -319, -478, -637, -796, -955? -159*a - 1 What is the y'th term of -303, -583, -863, -1143, -1423, -1703? -280*y - 23 What is the q'th term of 24, 134, 324, 600, 968, 1434, 2004? q**3 + 34*q**2 + q - 12 What is the i'th term of 15, 12, 13, 18, 27? 2*i**2 - 9*i + 22 What is the c'th term of 1631, 3263, 4895? 1632*c - 1 What is the y'th term of 102, 45, -66, -243, -498, -843, -1290? -2*y**3 - 15*y**2 + 2*y + 117 What is the a'th term of 14, -12, -56, -118, -198, -296, -412? -9*a**2 + a + 22 What is the f'th term of 0, -10, -42, -108, -220? -2*f**3 + f**2 + f What is the j'th term of 247, 1011, 2285, 4069, 6363, 9167? 255*j**2 - j - 7 What is the d'th term of -21, -19, -17, -15, -13, -11? 2*d - 23 What is the p'th term of 18, 2, -24, -60, -106, -162? -5*p**2 - p + 24 What is the n'th term of 18, 31, 50, 81, 130? n**3 - 3*n**2 + 15*n + 5 What is the n'th term of -15, 18, 67, 138, 237, 370, 543? n**3 + 2*n**2 + 20*n - 38 What is the p'th term of -58, -83, -136, -229, -374, -583? -2*p**3 - 2*p**2 - 5*p - 49 What is the d'th term of 234, 225, 216, 207? -9*d + 243 What is the w'th term of 3, -1, -11, -33, -73, -137, -231? -w**3 + 3*w**2 - 6*w + 7 What is the h'th term of 28, 49, 58, 49, 16, -47? -h**3 + 28*h + 1 What is the s'th term of -153, -165, -187, -225, -285, -373? -s**3 + s**2 - 8*s - 145 What is the j'th term of -94, -222, -360, -508? -5*j**2 - 113*j + 24 What is the r'th term of 24, 20, 16, 12, 8? -4*r + 28 What is the m'th term of 788, 1557, 2314, 3053, 3768, 4453? -m**3 + 776*m + 13 What is the z'th term of -31, -44, -57, -70? -13*z - 18 What is the y'th term of -389, -384, -379, -374, -369? 5*y - 394 What is the f'th term of 36, 165, 384, 693, 1092, 1581? 45*f**2 - 6*f - 3 What is the p'th term of 53, 41, 13, -37, -115, -227? -p**3 - 2*p**2 + p + 55 What is the s'th term of -88, -80, -70, -58? s**2 + 5*s - 94 What is the a'th term of 35, 164, 395, 734, 1187, 1760, 2459, 3290? a**3 + 45*a**2 - 13*a + 2 What is the f'th term of 1943, 1942, 1949, 1970, 2011, 2078, 2177, 2314? f**3 - 2*f**2 - 2*f + 1946 What is the m'th term of -79, -75, -71, -67, -63, -59? 4*m - 83 What is the v'th term of -683, -675, -653, -611, -543, -443? v**3 + v**2 - 2*v - 683 What is the v'th term of 145, 135, 127, 121, 117, 115, 115? v**2 - 13*v + 157 What is the q'th term of 1, 9, 29, 67, 129, 221, 349? q**3 + q - 1 What is the x'th term of 23, 45, 65, 83, 99? -x**2 + 25*x - 1 What is the f'th term of 101, 152, 205, 260, 317, 376? f**2 + 48*f + 52 What is the x'th term of -706, -701, -696? 5*x - 711 What is the p'th term of -24, -34, -52, -78, -112, -154, -204? -4*p**2 + 2*p - 22 What is the i'th term of 444, 456, 468? 12*i + 432 What is the m'th term of -12548, -25093, -37626, -50141, -62632, -75093, -87518? m**3 - 12552*m + 3 What is the m'th term of 1941, 1947, 1955, 1965, 1977, 1991, 2007? m**2 + 3*m + 1937 What is the y'th term of 602, 613, 638, 683, 754? y**3 + y**2 + y + 599 What is the l'th term of -80, -322, -724, -1286? -80*l**2 - 2*l + 2 What is the s'th term of 4, -59, -184, -377, -644, -991, -1424? -s**3 - 25*s**2 + 19*s + 11 What is the y'th term of -5547, -5544, -5539, -5532? y**2 - 5548 What is the b'th term of -477, -480, -483? -3*b - 474 What is the t'th term of -203, -407, -611, -815, -1019? -204*t + 1 What is the l'th term of 254, 230, 206, 182, 158, 134? -24*l + 278 What is the q'th term of 4, -63, -138, -227, -336, -471? -q**3 + 2*q**2 - 66*q + 69 What is the h'th term of 688, 690, 692, 694, 696? 2*h + 686 What is the n'th term of -228, -220, -204, -174, -124, -48, 60, 206? n**3 - 2*n**2 + 7*n - 234 What is the k'th term of -399, -799, -1199, -1599, -1999, -2399? -400*k + 1 What is the f'th term of 583, 1173, 1773, 2389, 3027? f**3 - f**2 + 586*f - 3 What is the y'th term of 626, 1256, 1886? 630*y - 4 What is the t'th term of -409, -371, -331, -289, -245, -199, -151? t**2 + 35*t - 445 What is the q'th term of 1, 24, 23, -14, -99, -244, -461, -762? -2*q**3 + 37*q - 34 What is the v'th term of 836, 829, 812, 779, 724? -v**3 + v**2 - 3*v + 839 What is the t'th term of 139, 281, 427, 577, 731, 889, 1051? 2*t**2 + 136*t + 1 What is the y'th term of -389, -398, -421, -464, -533, -634? -y**3 - y**2 + y - 388 What is the v'th term of 1161, 1154, 1145, 1134? -v**2 - 4*v + 1166 What is the t'th term of -827, -825, -821, -815, -807, -797? t**2 - t - 827 What is the u'th term of -13, -36, -67, -106, -153, -208? -4*u**2 - 11*u + 2 What is the s'th term of -51, -166, -341, -570, -847? s**3 - 36*s**2 - 14*s - 2 What is the v'th term of 20, 56, 138, 290, 536, 900? 4*v**3 - v**2 + 11*v + 6 What is the i'th term of -48, -51, -42, -15, 36, 117, 234, 393? i**3 - 10*i - 39 What is the n'th term of 5, 20, 61, 140, 269, 460, 725? 2*n**3 + n**2 - 2*n + 4 What is the u'th term of -122, -119, -112, -101, -86, -67? 2*u**2 - 3*u - 121 What is the z'th term of -6086, -6085, -6084, -6083, -6082? z - 6087 What is the d'th term of 24, 122, 290, 528? 35*d**2 - 7*d - 4 What is the m'th term of 84, 167, 250? 83*m + 1 What is the k'th term of -1227, -1225, -1223? 2*k - 1229 What is the i'th term of 149, 305, 467, 635, 809, 989, 1175? 3*i**2 + 147*i - 1 What is the l'th term of -255, -259, -263, -267, -271? -4*l - 251 What is the g'th term of -1667, -1659, -1633, -1583, -1503, -1387? g**3 + 3*g**2 - 8*g - 1663 What is the m'th term of -1640, -1640, -1638, -1634, -1628, -1620? m**2 - 3*m - 1638 What is the x'th term of 11, 38, 103, 224, 419, 706, 1103? 3*x**3 + x**2 + 3*x + 4 What is the h'th term of -28, -84, -168, -274, -396, -528? h**3 - 20*h**2 - 3*h - 6 What is the i'th term of 22, 104, 248, 460, 746, 1112, 1564? i**3 + 25*i**2 - 4 What is the b'th term of 4036, 8074, 12112, 16150? 4038*b - 2 What is the u'th term of 111, 203, 305, 423, 563, 731? u**3 - u**2 + 88*u + 23 What is the l'th term of -32, -60, -96, -146, -216, -312, -440, -606? -l**3 + 2*l**2 - 27*l - 6 What is the b'th term of 275, 273, 271, 269, 267, 265? -2*b + 277 What is the v'th term of 18, 22, 26? 4*v + 14 What is the q'th term of 515, 461, 393, 305, 191? -q**3 - q**2 - 44*q + 561 What is the c'th term of 206, 210, 216, 224? c**2 + c + 204 What is the o'th term of -3477, -6954, -10431, -13908? -3477*o What is the p'th term of 26, 4, -28, -70, -122, -184, -256? -5*p**2 - 7*p + 38 What is the d'th term of -81, -296, -653, -1152, -1793, -2576, -3501? -71*d**2 - 2*d - 8 What is the o'th term of 2782, 2785, 2790, 2797? o**2 + 2781 What is the q'th term of -18, -37, -58, -81, -106? -q**2 - 16*q - 1 What is the i'th term of 281, 297, 329, 383, 465, 581, 737, 939? i**3 + 2*i**2 + 3*i + 275 What is the i'th term of -1381, -1384, -1385, -1384, -1381? i**2 - 6*i - 1376 What is the w'th term of -55, -32, -11, 8? -w**2 + 26*w - 80 What is the i'th term of 31, 60, 101, 160, 243, 356? i**3 + 22*i + 8 What is the p'th term of -18, -50, -114, -216, -362, -558? -p**3 - 10*p**2 + 5*p - 12 What is the v'th term of -128, -503, -1126, -1997, -3116, -4483, -
{ "pile_set_name": "DM Mathematics" }
6). 6 2/27*-3*5/(-10) 1/9 Evaluate -4*7/(-21)*(-10)/8. -5/3 What is (42/168)/(10/(-32))? -4/5 What is (2/(-3))/(5/(-150)*-5)? -4 (2/(-2))/(25/10) -2/5 What is ((-4)/(-6))/(39/(-234))? -4 Evaluate ((-2)/9)/(12/(-27)). 1/2 (4/65)/(10/25) 2/13 What is the value of 12/(-42)*-35*2/10? 2 What is the value of (-6)/(-12)*(40/(-25))/(-4)? 1/5 Evaluate ((-2)/(-5))/(2/10). 2 Calculate 5*(-22)/165*-3. 2 Evaluate ((-4)/6)/((-24)/(-54)). -3/2 What is -3*((-9)/9)/(3/(-8))? -8 What is (-2)/8*-2*352/(-22)? -8 What is 27/24*1*(-32)/(-6)? 6 Calculate 195/78*(-1)/(-20). 1/8 Evaluate (2/(-4))/(2/40*2). -5 1*-10*6/12 -5 What is ((-32)/(-112))/(15/7)? 2/15 Evaluate ((-6)/(-7))/3*(-77)/99. -2/9 (2*(-4)/(-4))/(14/(-3)) -3/7 What is 0*-3*((-24)/(-6))/(-24)? 0 Evaluate ((-21)/(-56))/(6/144). 9 Evaluate (-10)/(1620/6)*2. -2/27 (14/(-182))/((-3)/6) 2/13 What is the value of 7/42*-2*-12? 4 (-1)/((-6)/(-30)*5/(-2)) 2 (-3*6/(-36))/(1/(-10)) -5 (-6)/15*(-75)/6 5 Evaluate 3*(8/6)/4. 1 What is (4/6)/(10/(-60))*1? -4 Evaluate ((-45)/(-10))/((-9)/12). -6 Calculate (-8)/12*1*(-15)/40. 1/4 What is (19/(-95))/((-1)/1)? 1/5 ((-18)/(-4))/3*(-36)/81 -2/3 Evaluate 6/((891/990)/(6/(-10))). -4 -4*((-15)/(-3))/10*-2 4 (18/(-27))/(2/3) -1 Evaluate 1/(-2)*(-1)/((-2)/(-12)). 3 What is (-5)/10*(-2)/(-5)*-3? 3/5 What is (-1)/2*168/1134? -2/27 Calculate -1*1*(-25)/(300/(-24)). -2 8/42*(-1)/(-12)*-14 -2/9 Calculate ((-2)/(-6))/((-50)/(-150))*-6. -6 Calculate (-6)/((6/2)/((-81)/54)). 3 Evaluate 1/((1/5)/((-24)/60)). -2 -5*11/(-55)*(-1)/4 -1/4 Calculate (7*(-2)/(-28))/(-1). -1/2 What is 4/(-10)*(-30)/12? 1 (-15)/(-6)*5/((-50)/12) -3 Evaluate 1/(-5)*(-6)/(-15)*-5. 2/5 What is the value of ((-3)/4*2)/((-2)/(-4))? -3 ((-2)/3)/((-50)/(-45)) -3/5 What is the value of ((-88)/484)/((-7)/22)? 4/7 What is the value of (4/7)/((-18)/14)? -4/9 Evaluate -3*(288/135)/16. -2/5 Evaluate (6/8)/(414/(-92))*1. -1/6 ((-2)/42)/(6/48*-4) 2/21 What is the value of (-10)/(-3)*(12/8)/1? 5 Evaluate ((-4)/(-110))/((40/(-25))/(-8)). 2/11 Evaluate -3*42/(-72)*-2*2. -7 Evaluate 8/(-6)*(-4)/2*3. 8 What is 3/(((-12)/(-16))/(10/(-8)))? -5 -3*(-5)/((-525)/5)*3 -3/7 What is the value of (66/(-12))/11*-4? 2 What is (1/1)/((-2)/(16/(-20)))? 2/5 ((-56)/84)/((4/42)/1) -7 What is the value of 7/56*30/3*-4? -5 Calculate 16/4*(-3)/(72/42). -7 What is the value of (-3)/66*4*-1? 2/11 What is (65/(-5))/195*-6? 2/5 What is ((-4)/2)/(((-180)/9)/10)? 1 Calculate 3/((-1)/((-7)/(-21)*-3)). 3 What is (40/70)/((-6)/21)? -2 What is (-4*(-1)/(-6))/(-3*2)? 1/9 Calculate (((-48)/9)/(-8))/(-2). -1/3 Calculate (9/(-9))/((-7)/(-1)). -1/7 ((-51)/(-714))/((-2)/(-28)) 1 Calculate 0/(2/1)*9/(-18). 0 What is (25/5)/(1/((-30)/25))? -6 Calculate (1/(-2))/(2/28*7). -1 What is the value of (-3*(-4)/24)/((-8)/(-80))? 5 What is the value of 8/(8/(-2))*10/5? -4 23/276*84/7 1 What is ((-21)/(-4))/(2*27/72)? 7 4*((-10)/(-75))/(24/30) 2/3 Calculate 0/(3/(4*(-6)/(-8))). 0 ((-118)/(-885))/((-2)/3) -1/5 What is the value of 5/(3*-10)*99/44? -3/8 Evaluate (-12)/20*-2*(-10)/(-18). 2/3 Calculate 93/(-62)*(-20)/6. 5 What is (1/6)/((32/(-2))/(-240))? 5/2 Calculate ((-12)/(-4))/((-114)/76). -2 What is the value of 19/76*8/2? 1 Calculate 2*((-2)/(-10))/(-1). -2/5 Calculate (11/11)/((-5)/35). -7 Evaluate (12/(-105))/(-8*(-7)/140). -2/7 ((-27)/(-18))/((-1)/(-2)) 3 What is the value of -1*2/(2/(-3))? 3 (-1)/((-16)/(-40)*(-20)/(-48)) -6 What is (87/116)/(((-2)/(-8))/1)? 3 What is the value of ((-24)/78)/((-14)/91)? 2 ((-111)/(-148))/(4/(336/9)) 7 Evaluate 45/(-2)*(-4)/18. 5 ((-28)/(-28))/(3/(-1)) -1/3 (0/13)/(2/2*-2) 0 Evaluate ((-4)/(64/12))/(1/4). -3 What is (((-12)/(-48))/((-1)/(-4)))/1? 1 Evaluate 7/(70/5)*8. 4 What is the value of (2/1*3)/15? 2/5 Evaluate (4/64*8)/((-3)/2). -1/3 What is the value of 2/((-16)/24*6/10)? -5 Evaluate (72/252)/((-3)/7). -2/3 What is 6/(-15)*25/65? -2/13 (1/((-450)/(-40)))/(4/10) 2/9 Evaluate ((-2)/(-40)*8)/(6/5). 1/3 Evaluate ((-27)/54)/((-1)/10). 5 What is 4/(-18)*12/8? -1/3 Evaluate 0*(-10)/((-200)/10). 0 What is the value of (-3)/6*(360/(-32))/(-15)? -3/8 What is the value of (10/14)/((-30)/(-210))? 5 (-4)/3*-2*30/200 2/5 Evaluate ((-5)/35)/(4/14). -1/2 (5/10)/(9/90) 5 (3/(-10))/(2/4) -3/5 What is 2/4*72/(-9)? -4 What is (((-14)/(-7))/2)/(2/(-10))? -5 What is (3/(-3))/(5*(-15)/(-25))? -1/3 What is (2/(-30))/(22/(-55))? 1/6 What is ((-10)/50)/(1/(-25))? 5 (-8*(-1)/(-1))/((-36)/(-36)) -8 Calculate 13/(-13)*(-3)/1. 3 What is the value of (9/(-114))/((6/(-8))/(-1))? -2/19 What is 350/(-140)*16/(-50)*1? 4/5 What is the value of 20/(-6)*(-9)/(-6)? -5 What is the value of (-10)/3*3/2? -5 3/2*4/33*-1 -2/11 (0/(-6))/((-4)/(-2)) 0 What is the value of (-2)/(-70)*2*5/4? 1/14 (-4)/(-18)*93/(-31) -2/3 What is (-9)/(99/44)*-1? 4 5/((-70)/(-6))*(-2)/(-3) 2/7 Calculate 6/(-5)*(-115)/322. 3/7 (-133)/266*3/((-114)/8) 2/19 What is the value of 9/3*6/9? 2 What is (-7)/(-14)*-2*2/10? -1/5 What is (-2*(-3)/(-252))/(1/(-4))? 2/21 Calculate (-3)/(-2)*(-4)/18. -1/3 Evaluate (-3)/15*(-3)/3. 1/5 7*3/(-63)*-3 1 What is the value of ((-6)/21)/((-24)/63)? 3/4 (20/105*-3)/((-3)/(-21)) -4 What is the value of 9/(-4)*(-2)/(-9)? -1/2 Evaluate 135/(-15)*6/(-81). 2/3 4/(-6)*1*(-78)/(-52) -1 Calculate (-5)/(70/(-4))*(-417)/139. -6/7 What is the value of (-8)/10*(12/4)/(-12)? 1/5 What is the value of (-1)/(-14)*13/52*-16? -2/7 What is the value of 4/104*-9*12/(-27)? 2/13 8*((-9)/6)/(-3) 4 (-2)/(-3)*(-9)/6*1 -1 -2*((-110)/(-4))/(-11) 5 Evaluate -10*1/(-35)*1. 2/7 ((-5)/(-30))/((-6)/(-9)) 1/4 Evaluate ((-2)/(-6))/((-12)/(-90)*-3). -5/6 Evaluate 10/(-2*(-2)/(-2)). -5 What is ((-15)/(-450))/(2*3/(-24))? -2/15 Calculate ((-156)/52)/(2*(-1)/(-2)). -3 Evaluate ((-15)/(-90))/(1/(-4)). -2/3 (-464)/(-145)*(-5)/(-4) 4 What is the value of (-1)/(-13)*(-8)/4? -2/13 Evaluate 1/((-6)/4*38)*6. -2/19 477/318*1/(-9) -1/6 What is (10/(-6))/(((-80)/10)/(-24))? -5 Calculate ((-5)/5)/(2/10). -5 What is the value of -1*1*(-12)/4? 3 Evaluate 4/6*(12/(-1))/(-4). 2 (1/(-2))/(-1)*(-2)/(-1) 1 What is ((-4)/16)/((-4)/(-16))*4? -4 Calculate (-4)/6*-16*6/(-16). -4 ((-15)/20)/((-6)/4*1) 1/2 Evaluate ((-9)/4554*-4)/(1/11). 2/23 Evaluate (228/(-190))/((-3)/15). 6 What is (-2)/(2/5*(-15)/(-12))? -4 Evaluate 54/(-18)*3/9. -1 What is the value of (-33)/(-44)*56/6? 7 What is the value of 4/(-10)*2*-1*5? 4 Calculate ((-1)/2*16/26)/2. -2/13 Evaluate 28/10*(-25)/(-10). 7 What is the value of (12/18*3)/3? 2/3 What is the value of 18*(5/(-45))/((-16)/72)? 9 Calculate (1/3)/(1/(-18)). -6 Evaluate (1*3)/((-3)/3). -3 ((-4)/(-1))/((-9)/3) -4/3 What is the value of 21/56*4*-4? -6 What is the value of (-1*(-1)/7)/(66/462)? 1 Evaluate (-2)/(-10)*(-675)/(-1215). 1/9 What is ((-3)/(-6))/(53/424)? 4 What is the value of 4/24*9*(-1)/(-3)? 1/2 What is 6/6*(-1)/1? -1 What is the value of (-11)/(330/(-5))*3/(-4)? -1/8 Calculate 6/(54/10*(-20)/(-24)). 4/3 What is (-2)/(12/6)*(-2)/14? 1/7 Evaluate ((-60)/130)/((-24)/208). 4 Calculate ((6/(-6))/(-6))/((-6)/(-27)). 3/4 Calculate ((-82)/(-984))/(2/8). 1/3 Calculate ((-3)/(-1))/((-9)/(-12)). 4 Evaluate ((-6)/54)/((-5)/5). 1/9 What is the value of (-24)/48*2/5? -1/5 What is ((-7)/(-3))/(4*(-70)/(-240))? 2 Calculate (-2)/((-12)/14)*(-106)/371. -2/3 What is ((-24)/(-20))/(1/10*-3)? -4 What is the value of ((-7)/5)/(498/830)? -7/3 What is the value of ((-28)/(-21))/((-38)/(-3))? 2/19 What is the value of 1/((-8)/(64/(-24)))? 1/3 Calculate (-2)/12*10/5. -1/3 What is the value of 105/(-42)*((-6)/5)/(-3)? -1 What is 3/(-12)*((-70)/(-7))/(-5)? 1/2 What is (-2)/(-1)*((-117)/(-54))/13? 1/3 Evaluate ((-4)/(-6))/((-37)/(370/40)). -1/6 Evaluate 2/(-3)*2/8. -1/6 (-6)/(-2)*2/8*-4 -3 Calculate (2/10)/(1/(9/9)). 1/5 What is (-1)/(-6)*-3*2? -1 What is (-3*16/180)/((-6)/(-9))? -2/5 ((-3)/(-12))/(44/32*-1) -2/11 Evaluate ((253/66)/(-23))/(2/8). -2/3 Evaluate (((-315)/(-20))/(-21))/3. -1/4 What is the value of (576/(-480))/(2/5)? -3 8/(-26)*1/(-2) 2/13 2*2*34/680 1/5 What is the value of (-2*(-2)/(-8))/(-1)? 1/2 2/(-2)*3/(-9) 1/3 What is (-4)/6*30/(-5)? 4 Calculate ((-4)/10)/(8/((-440)/(-11))). -2 Evaluate ((-4)/(-18))/(9*(-9)/(-729)). 2 What is the value of ((-24)/32)/(9/(-8))? 2/3 Evaluate 7/(-14)*((-3)/(-1))/9. -1/6 What is the value of ((-1)/(15/18))/((-4)/(-10))? -3 Evaluate ((-36)/2898)/(1/7). -2/23 Evaluat
{ "pile_set_name": "DM Mathematics" }
2. Let b = -8 + 5. What is the remainder when z is divided by (14/(-8))/(b/12)? 5 Let w = 172 - 170. Suppose c - 4*r = w*c - 34, -3*r = -c - 1. Calculate the remainder when 110 is divided by c. 12 Suppose 6*p = 15*p + 39*p - 1968. Calculate the remainder when 649 is divided by p. 34 Suppose 4*c = -8 - 40. Let d(n) = -6*n - 49 + 15 - 3 + 5. What is the remainder when d(c) is divided by 9? 4 What is the remainder when (0 + -15)*((-896)/20 - -16) is divided by 53? 8 Let w = 163 - 71. Let n = -35942 + 35992. Calculate the remainder when w is divided by n. 42 Suppose -10421*h + 10432*h - 36245 = 0. Calculate the remainder when h is divided by 21. 19 Let f(x) = -3*x**2 + 19*x - 19. What is the remainder when 279 is divided by f(3)? 4 What is the remainder when (-2)/10*5*-338 is divided by (-1 - -2)*(-4)/(-4)*87? 77 Let t(n) = 2*n**3 - 4*n**2 - 2*n + 4. Let i be t(3). Suppose 9*h - i = 218. Calculate the remainder when h is divided by (0 - -12) + (15 - 18). 8 Let v(g) = -g**3 + g**2 + 73*g + 18. Let c be v(-9). Suppose -s + 187 = 5*z, s - 2*z - z = c. What is the remainder when s is divided by 59? 0 Suppose 5*x + 0*g - 4*g - 925 = 0, -4*x + 5*g + 740 = 0. Suppose 0 = 3*m + 2*h - 343 - x, -5*m = 4*h - 880. Calculate the remainder when m is divided by 36. 32 Let s be 47 + -4*12/(-8). Suppose 31 = 4*j - s. Calculate the remainder when 30 is divided by j. 9 Suppose -4*i + 2916 = -38*x + 42*x, -3*i = 5*x - 3639. What is the remainder when x is divided by 56? 54 Let g(d) = 42*d - 16. Let w be g(1). Let b = 118 - w. What is the remainder when b is divided by 26? 14 Let b = 143 - 147. Let u be 300 + b/(-4)*(-1 + 3). Calculate the remainder when 117 is divided by ((-15)/3)/25 + u/10. 27 Let h(s) = s**2 - 5*s + 6. Let f be h(4). Suppose -4*k - f = -6*k. What is the remainder when k is divided by (-6)/(-7) + ((-104)/91)/(-8)? 0 Let c(o) = o**2 - 4*o - 13. Suppose 2*z = u + 171 - 197, 4*u + 5*z - 117 = 0. What is the remainder when c(12) is divided by u? 27 Suppose -3*q - 568 = -598. Suppose q*v - 102 = 4*v. What is the remainder when 43 is divided by v? 9 Let w(x) = -x**3 + 12*x**2 + 14*x - 38. Let h(d) = d**3 - 30*d**2 - 3*d + 101. Let n be h(30). What is the remainder when w(n) is divided by 30? 27 Suppose -31*u = -618 + 334 - 1731. Calculate the remainder when 211 is divided by u. 16 Let t = 156 - 81. Let k = -4481 + 4488. Calculate the remainder when t is divided by k. 5 Let i = 200 - 134. Let p(n) = 2*n**2 - 27*n - 8. Let k be p(14). Suppose -k*b - 79 = -283. Calculate the remainder when i is divided by b. 32 What is the remainder when (116/(-145))/(6830/(-975) + 2 + 5) is divided by 16? 12 Let t = 13475 - 13376. Let m be 222/(-8) - 3/12. Let o = m + 45. Calculate the remainder when t is divided by o. 14 Suppose 2*z - 9*z = -5*u - 1792, 2*z - 5*u = 512. Calculate the remainder when 965 is divided by z. 197 Let c(a) be the third derivative of a**5/30 + 13*a**4/6 - 161*a**3/6 - 2*a**2 - 132*a. Calculate the remainder when 753 is divided by c(-29). 12 Let x(b) = b**3 - 14*b**2 + 14*b - 12. Let j be x(13). Let g be (5*(-2)/(-30))/(j/393). Let s = g + -93. Calculate the remainder when s is divided by 8. 6 What is the remainder when 110 is divided by (9 - 5)/((-8)/(-12)) - (-3 + 1)? 6 Let t(z) = z - 7. Let q be t(7). Suppose 5*x - 2*w - 47 = q, x = -3*x - 2*w + 34. Suppose -2*m - 1 = -x. Calculate the remainder when 7 is divided by m. 3 Let d = 38 - -48. Suppose 5*r - d = 24. What is the remainder when 106 is divided by r? 18 Suppose 19*a - 22 - 111 = 0. Let y(i) = i**3 - 13*i**2 + 13*i - 6. Let o = 20 + -8. What is the remainder when a is divided by y(o)? 1 Suppose -t + 2*t + 3*j - 18 = 0, t + j = 12. Suppose -132 + 366 = -t*x. Calculate the remainder when 2/4*-2*x is divided by 11. 4 Let c(h) = 53*h + 1. Let r = -118490 + 118524. What is the remainder when c(7) is divided by r? 32 Let m(x) = x**2 + 6*x - 13. Let v be m(9). Let a = 3 + v. Suppose 78 = 7*l - a. What is the remainder when 111 is divided by l? 24 Let d(s) = s**3 - 9*s**2 - 2*s + 72. What is the remainder when 4*(-2)/(-8) + 214 is divided by d(9)? 53 Let s(y) = 15*y - 39. Let b be s(13). Let q = -116 + b. Calculate the remainder when q is divided by 2. 0 Suppose 11*l - 41*l + 3132 = -3*l. What is the remainder when 240 is divided by l? 8 Let v be 30/(-4)*(-8)/12. Suppose 4*t + 3*u - 218 = 0, v = 2*u + 1. What is the remainder when t is divided by 1/(-2)*1*-38? 15 Let s(z) = 585*z**2 + 3*z - 12. What is the remainder when s(3) is divided by 155? 147 Calculate the remainder when 139 - 144 - (0 - 0 - (-1 - -39)) is divided by (-416)/(-20) + 4/(-5). 13 Let f be ((-14940)/150)/((4/(-10))/1). Suppose -c + 4*m = -f, -3*c + 58*m = 60*m - 719. Calculate the remainder when c is divided by 62. 55 Let d = 15821 + -15814. What is the remainder when 1532 is divided by d? 6 Suppose 4*b + 15 = 3*p, 0 = 5*p - 4*b - 97 + 64. Calculate the remainder when 4192 is divided by p. 7 Suppose -9 = -w + 3*s + 6, -9 = -w + s. Suppose t + k = 21, t - k - 25 = -w*k. Calculate the remainder when 98 is divided by t. 18 Let f = 7 - 3. Let d(s) = 4*s**2 - 73*s + 37. Let t be d(18). Calculate the remainder when (t - 1)/((-60)/(-9) - 6) is divided by f. 3 Let q = -34174 - -34331. Calculate the remainder when 377 is divided by q. 63 Let x = 256 - 248. Calculate the remainder when 105 is divided by (2241/36 - x) + 2/(-8). 51 Suppose 27 - 369 = -d. Let u = d + -189. Suppose 5*g - 6*g + 31 = 5*s, 5*s + u = 3*g. What is the remainder when 89 is divided by g? 43 Suppose w - 391 = -160. Suppose 0 = 12*r - w - 1557. What is the remainder when r is divided by 19? 16 Suppose -628*b + 396375 = -275585. Calculate the remainder when b is divided by 47. 36 Let s = -1649 - -1717. Let q(c) = 2*c**2 + 3*c + 338. Calculate the remainder when q(0) is divided by s. 66 Suppose 7*v = 6*v + 22. Let i = 64 + -64. Suppose p - 4 = 0, i*g + 18 = g + 3*p. Calculate the remainder when v is divided by g. 4 Let r = 1061 - 1027. Calculate the remainder when 2/(-7) - 5664/(-28) is divided by r. 32 Suppose 6644*h = 6517*h + 6604. What is the remainder when 182 is divided by h? 26 Let c(r) = 3*r**2 + 15*r + 11. Let i be c(3). Let j = 151 - i. Calculate the remainder when 473 is divided by j. 65 Let k = -11219 + 17865. What is the remainder when k is divided by 10? 6 Suppose 0 = -78*n + 75*n + 21. Let a(m) = -m**2 + 11*m + 14. Calculate the remainder when 78 is divided by a(n). 36 Suppose 3*y + 7 = -2*v, v + 0 + 4 = -2*y. What is the remainder when 81 is divided by (0 - v) + (-48)/(2/(-1))? 3 Let w = 157 - 199. What is the remainder when 69 is divided by 32/(-12)*w/8? 13 Suppose 0 = -b + 3 + 2. Suppose 12*f - 636 + 168 = 0. Suppose -20 = f*r - 44*r. What is the remainder when b is divided by r? 1 Suppose -1239*c - 9870 = -1333*c. Let u(t) = -t + 3. What is the remainder when c is divided by u(-8)? 6 Let d(y) = -735*y + 5839. What is the remainder when d(7) is divided by 5? 4 Let p = 10081 - 9000. What is the remainder when p is divided by 110? 91 Let b be (14328/(-54))/((-2)/(-3)). Let y = b - -635. What is the remainder when y is divided by 16? 13 Let p be (-2061)/12 - (18/8)/(-3). Let m = 52 - p. Calculate the remainder when m is divided by 76. 71 Let t(v) = -166*v + 124. What is the remainder when t(0) is divided by 21? 19 Let j = 614 - 1078. Let i = 531 + j. Calculate the remainder when i is divided by 28. 11 Let j = -193 + 198. What is the remainder when (24/j)/(2/95) is divided by 7? 4 Suppose 2*s - 4*q = 122, 2*s - 40 = 5*q + 77. Calculate the remainder when 8588 is divided by s. 68 Suppose -2369 = -6*z - 1667. What is the remainder when z is divided by 5/((-2)/(24/(-3)))? 17 What is the remainder when 8 + 3710/10 - -16 is divided by 104? 83 Let b be (-8043)/(-84) + (-2)/(-8)*-3. Let n = -38 + 14. Let i = b - n. What is the remainder when i is divided by 12? 11 Let z = 3 + -8. Let x(b) be the second derivative of -7*b**3/3 - 35*b**2/2 + 22*b - 10. What is the remainder when x(z) is divided by 18? 17 Let q = -897 + 901. Calculate the remainder when 69 is divided by (-51)/(-7) + q + 120/(-28). 6 What is the remainder when ((-2)/2)/((-5)/655) is divided by (-6)/(-20) - (-53)/((-18550)/(-5145))? 11 Let d = 420 - 373. Let g(b) = b**2 + 25*b - 190. Calculate the
{ "pile_set_name": "DM Mathematics" }
-k**3 + k**2 + k + 1. Suppose -v = -0*z + 3*z - 13, 3*z = 2*v + 19. Let u(f) = z*r(f) + o(f). Calculate u(-3). 8 Let l(z) = 4*z + 11. Let k(u) = 1. Let h(s) = -15*s - 34. Let g(c) = -h(c) + 5*k(c). Let x(o) = -5*g(o) + 18*l(o). Determine x(5). -12 Let k(i) be the first derivative of i**3/3 + 13*i**2/2 + 16*i + 192. Calculate k(-12). 4 Suppose -9*d + 4*d = -400. Let c(z) = 0 + 0 + d*z - 82*z. Give c(-5). 10 Let x(o) = -3*o - 8. Let y(b) be the third derivative of -b**4/4 - 17*b**3/6 + 5*b**2. Let d(c) = -7*x(c) + 3*y(c). Calculate d(-4). -7 Let i(j) = -j**2 + 3*j - 2. Let c = 171 - 168. Calculate i(c). -2 Let b = -20 + 23. Suppose 0*j = -b*j + 15. Let t(x) be the third derivative of -x**5/60 + 5*x**4/24 + x**3/3 + 3*x**2. Give t(j). 2 Suppose -h - 15 = -5*v, -v - 21 = -7*h + 2*h. Let b(s) be the first derivative of -s**4/4 + 2*s**3/3 + 3*s**2 - 2*s - 5. Give b(v). -10 Let l(d) = -17*d**2 - 4*d - 4. Let x(s) = 37*s**2 + 6*s + 9. Let j(g) = -13*l(g) - 6*x(g). Determine j(16). -2 Let z(b) = -2*b**2 + 1. Let f(g) = 9*g**2 - 2*g - 8. Let r(m) = -f(m) - 4*z(m). Calculate r(2). 4 Let z(h) = 4*h - 8. Suppose -48*l = 53 - 389. Give z(l). 20 Let p(t) = t - 12. Let c be p(13). Let r(i) = -28*i + 5. Let v(f) = 29*f - 6. Let b(y) = -5*r(y) - 4*v(y). What is b(c)? 23 Let w(q) = -q**2 + 4*q. Suppose 2*s = 2*u + 8, -2*s + 0*u - 3*u + 8 = 0. Let k be 90/s*4/6. Let m = k + -13. Determine w(m). 4 Suppose 6*h - 9*h = -24. Suppose -b + 0 + h = 0. Let o(l) = -l**2 + 7*l + 11. Calculate o(b). 3 Let m = 53 + -13. Suppose -w + 32 = 3*w - 2*z, 5*w + z - m = 0. Let b = -11 + w. Let i(a) = 2*a - 2. Calculate i(b). -8 Let s(d) = -d**3 - 2*d**2 + 3*d + 3. Suppose 46*t + 12 = 43*t. Give s(t). 23 Let b(m) = -m**2 - 10*m - 2. Let t(y) = y**2 + 15*y + 47. Let c be t(-7). Calculate b(c). 7 Let p(w) = -3*w**2 - 9*w. Let r(f) = 2*f**2 + 8*f. Let x(d) = 3*p(d) + 4*r(d). Let k(i) = 23*i + 2. Let m be k(2). Let l be (-2)/3 + 320/m. Give x(l). -6 Let r(w) = -w**3 + w**2 + w. Suppose 0 = -t + 5*c + 7, 4*t + 5*c = -0 + 3. Give r(t). -2 Let p(y) = -74*y + 15*y**2 + 72*y + 12*y**2 - 32*y**2 + 5 - y**3 + 7*y**2. What is p(2)? 1 Let d(p) = 13*p**3 - 4*p**2 - 2*p + 3. Let x(t) = -25*t**3 + 7*t**2 + 3*t - 5. Let r(m) = 7*d(m) + 4*x(m). Determine r(1). -10 Let w(v) = -9*v**2. Suppose 4*i - 5*l - 4 = 0, -2*i + 12*l - 8*l = -2. Give w(i). -9 Let k(j) = 3*j**2 + 1 - 2*j + 0 - 2*j**2 + 3*j**2. Give k(1). 3 Let g(b) = -11*b - 8 + 17*b + b**2 - 1 + 3 + 4*b. Give g(-11). 5 Let p(v) be the first derivative of -v**2/2 - 6*v - 6. Calculate p(7). -13 Let f(l) = -5*l - 9. Suppose -2*x + c = 8, x + 14*c = 13*c - 1. Calculate f(x). 6 Let p(a) = 2*a**3 - 4*a**2 + 5*a - 8. Let o be p(3). Let q = -23 + o. Let i(u) = -u**3 + 2*u**2 + 2. Calculate i(q). 2 Let u = -31 - -32. Let d(p) = -p**2 - 8 + u - 26*p - 2 + 34*p. What is d(6)? 3 Let b(m) = -m**2 - m + 3. Let s be b(0). Let f(w) = 3 - 3*w**2 + 29*w + 7*w - 37*w + w**3. What is f(s)? 0 Let h be (-6820)/(-24) + 2/(-12). Let v(i) = -6 + 142*i + 143*i - h*i. Determine v(11). 5 Let q be (5 - 51/18) + (-2)/12. Let v(u) = 12*u**2 + 3*u + 1. Let m(t) = 6*t**2 + t. Let y(b) = q*v(b) - 5*m(b). Give y(2). -20 Let q(f) = 2*f**2 + f. Let w be q(1). Suppose 0 + 9 = -w*s. Let d(x) = -x**2 - 5*x - 4. Give d(s). 2 Let j(r) = -15*r - 6. Let x be j(0). Let d(k) = k**3 + 5*k**2 - 5*k + 14. What is d(x)? 8 Let h(n) = -22*n - 8 + 6*n + 8*n + 9*n. What is h(3)? -5 Suppose 3*j + 4*a - 2*a = -11, -5*j = -a + 27. Let c(y) = 2 + 11 - 2 + y - 2. What is c(j)? 4 Let w(s) be the third derivative of 0*s + 0 + 7/3*s**3 - 12*s**2 - 1/24*s**4. Suppose 0*z = 2*z - 3*n - 18, -3*n = -3*z + 24. Give w(z). 8 Suppose -5 = 5*w - 5*q, w + 4*q - 14 + 0 = 0. Let c(z) = -3*z + 5*z - 2*z + z + 1. Determine c(w). 3 Suppose -3*d + 18 = 4*y + 44, -4*y + 14 = -d. Let q(v) = -v**2 - 9*v + 7. What is q(d)? -3 Let a(c) be the second derivative of -10*c + 0 + c**2 - 1/6*c**3. Calculate a(2). 0 Let c(t) be the first derivative of -7 + 0*t + 1/10*t**5 + 1/24*t**4 - t**2 + 4/3*t**3 + 1/120*t**6. Let g(m) be the second derivative of c(m). Determine g(-6). 2 Let p(n) be the first derivative of -n**3/3 - 2*n**2 + 5*n + 144. Let u = -8 - -3. What is p(u)? 0 Let c(b) = -b**2 - 3*b. Let d be 2799/27 - 2/3. Let f = d + -109. What is c(f)? -18 Suppose -26*w + 25*w - 2 = 0. Let u(n) = n**3 + 4*n**2 + n - 3. Determine u(w). 3 Let u(q) = -4*q**2 - 5*q - 1262 - 8*q + 5*q**2 + 1270. Give u(11). -14 Let m = 84 - 90. Let i be ((-3)/m)/(-1)*(10 - 2). Let y(r) = r**3 + 3*r**2 - 5*r + 3. Determine y(i). 7 Let f be (-1 + (-15)/(-9))/((-7)/21). Let p(l) = l + 2. Let o(d) = -2. Let j(z) = 3*o(z) + 2*p(z). Calculate j(f). -6 Let b(r) = -5*r**2 + 21*r - 5. Let u = -852 - -859. Let f(h) = -2*h**2 + 10*h - 2. Let k be (-1)/2 - (-10)/(-4). Let z(l) = k*b(l) + u*f(l). Give z(-3). -11 Suppose -2*u - 14 = -3*n - 0*n, 0 = -3*u - 12. Let y(j) = 0*j**n + 2*j - 5 + 4*j - j**2 + 10. What is y(6)? 5 Let h(k) be the second derivative of -k**4/12 - 4*k**3/3 + 11*k**2/2 - 49*k - 1. Determine h(-8). 11 Let n be 12/5 + 14/(-35). Let m be 0 + -3 - 4/n. Let b(c) = c**3 + 4*c**2 - 7*c + 1. Give b(m). 11 Let m be (-3)/6*(-8)/(-1). Let a be (m/(-6))/((-5)/(-60)). Let k(s) = 3*s + a*s - 6*s - 2 - s**2. What is k(3)? 4 Let t(x) be the first derivative of x**4/4 + 14*x**3/3 + 11*x**2/2 - x - 431. Calculate t(-13). 25 Suppose -5*b = -2*b - 27. Let y(v) = 8*v**2 + b*v**3 - 1 + 2*v**2 - 8*v**2. Determine y(-1). -8 Let h(l) = -l**3 + 12*l**2 - 6*l - 12. Let y(p) be the third derivative of p**5/60 - p**3/6 - 10*p**2. Let u(z) = -h(z) + 5*y(z). Determine u(6). 7 Let r(v) = -2*v + 12. Let j be r(5). Let m(d) = -2*d**2 + 9*d + 3*d**2 - 9*d + 1 + j*d. Give m(-1). 0 Let a be 1/(3*5/30). Suppose -17 = -i + 2*w - 4, w + 11 = a*i. Let s(y) = -6*y + 7. Let q(u) = 5*u - 6. Let t(c) = 4*q(c) + 3*s(c). Give t(i). 3 Let r(f) = -f**2 + 11*f - 1. Suppose -3*b = 15, 4*p = 8*b - 3*b + 69. Give r(p). -1 Let q(f) = f + 3. Suppose -3*l + 2*z - 12 = 0, 0 = -3*l + 4*z - 9 - 9. Determine q(l). 1 Suppose -z + 5*j + 5 = 28, 2*z - 2*j + 22 = 0. Let x be (-13 + 1)*z/24. Let v(g) = -g**2 - 10*g + 18*g**3 - 3*g**2 - 2 + 9*g - 17*g**3. Determine v(x). -6 Let a(k) be the second derivative of 2/3*k**3 - 7*k - k**2 - 1/20*k**5 + 0 + 5/12*k**4. Give a(6). -14 Let l(n) be the third derivative of n**4/24 - 5*n**3/6 + 2*n**2 - 3. Determine l(-6). -11 Suppose 3*i = 2*c + 27 - 1, 36 = 4*i - 4*c. Let s = i + -5. Suppose -k - s*k = -b + 6, 4*b - 7 = -k. Let z(f) = -4*f**3 + 2*f + 1. Give z(k). 3 Let p = -12 + 13. Suppose -5*a - 10 = -3*n, 5 - p = -5*n - 2*a. Let l(c) = -c**3 - c**2. Calculate l(n). 0 Let j(l) = l - 4. Let r be j(6). Let v(a) be the second derivative of 0 + 9*a + 1/6*a**3 + 0*a**2. Give v(r). 2 Let l(z) be the third derivative of 0*z**3 + 0*z + 0 + 1/12*z**4 - 5*z**2. Give l(1). 2 Suppose 4*y - 2*i - 21 = -37, 8 = -2*y + 3*i. Let w(b) = 8*b + 5. Calculate w(y). -27 Suppose -3*h - 2*h + 85 = 0. Let q(i) = -17*i - 36. Let k(x) = 3*x + 3. Let b(z) = -6*k(z) - q(z). Let j be b(h). Let t(o) = -o**3 + 1. Give t(j). 0 Let b(p) = 0*p**2 - 5*p**2 - 2287*p + 13 + 2271*p + 3*p**2. What is b(-9)? -5 Let g(f) be the second derivative of 13/6*f**3 - 15/2*f**2 + 0 + 51*f - 1/12*f**4. Give g(12). -3 Let p(m) = 7*m**2 + 7 + 2 - 2*m**2 - 9*m - 4*m**2. Suppose 4*t = -3*g + 22, g + t - 4 = 3*t. Give p(g). -9 Let y(n) = n**2 - 6*n - 8. Let o(h) be the first derivative of h**3 - 17*h**2/2 - 22*h + 17. Let j(d) = -4*o(d) + 11*y(d). Calculate j(3). -3 Let x(c) be the first derivative of 1/2*c**2 + 1/3*c**3 + 45 + c. Determine x(-3). 7 Let w be 19/(-6)*-1 + 8/(-48). Let l(f) = -f**3 + 4*f + 1. Calculate l(w). -14 Suppose -42*g + 12 = -38*g. Let r(h) = -7*h**2 - 6 - 4 + 5 + 2*h**g - h**3 - 6*h. Calculate r(8). 11 Let v(z) = 15*z**3 + 7*z**2 - z - 1. Let q(u) = -14*u**3 - 6*u**2 + u + 1. Let d(n) = 7*q(n) + 6*v(n). Give d(-1). 8 Let d = -28 + 75. Let p = -52 + d. Let l(v) = v**3 + 6*v**2 + 4*v - 6. Determine l(p). -1 Let u(a) = -2*a + 3. Suppose 2*m + 2*t - 2 = 0, -m + 4 = 4*m + 4*t. Determine u(m). 3 Let x(o) = o**3 - 7*o**2 + 4*o - 8. Suppose -4*r - 3 = y, y + 2*r = 4*r + 9. Suppose -y*w + 7*w - 12 = 0. Give x(w). -20 Let u(d) = -d**2 + 3*d + 3. Let f be -3 + 6 + -3 + -2*1. Determine u(f). -7 Let p be (-2)/(-1
{ "pile_set_name": "DM Mathematics" }
7*t**5/390 - t**4/39 - 4*t**3/39 - 70*t**2 - t. Factor s(p). -2*(p - 2)**2*(2*p + 1)/13 Find n such that -2/9*n**3 + 80/9 + 158/9*n + 76/9*n**2 = 0. -1, 40 Determine n, given that -572/17*n**2 - 13310/17 + 58/17*n**4 + 452/17*n**3 + 2/17*n**5 - 14278/17*n = 0. -11, -1, 5 Suppose 6*p - y = 2*p + 12, -2*y - 6 = -2*p. Factor -51*s + 14*s**3 + 4*s**p - 22*s**3 + 7*s**3 + 7*s**2 - 4*s**2 + 45. 3*(s - 3)*(s - 1)*(s + 5) Suppose 56510*t + 395*t**3 - 22*t**4 + 25337 - 9202*t**2 + 17*t**4 + 35913 - 4885*t - 23*t**2 = 0. What is t? -1, 10, 35 Let g(r) be the second derivative of -r**7/630 - 7*r**6/180 + 11*r**4/3 + 34*r - 2. Let w(k) be the third derivative of g(k). Factor w(c). -4*c*(c + 7) Let r(m) be the first derivative of -2*m**5/25 + 19*m**4/5 - 134*m**3/5 + 288*m**2/5 + 643. Factor r(k). -2*k*(k - 32)*(k - 3)**2/5 Let q(n) = -68*n + 15. Let v be q(0). Suppose -v*a + 6 = -24. Factor 24/5*k + 48/5 + 3/5*k**a. 3*(k + 4)**2/5 Let a = 1457721 + -1457719. Factor 148/13 + 6/13*c**a - 226/13*c. 2*(c - 37)*(3*c - 2)/13 Let d = 196/29 - 124/87. Let c(f) be the first derivative of 0*f**2 + d*f**3 - 12*f**4 + 6 + 0*f + 36/5*f**5. Determine y so that c(y) = 0. 0, 2/3 Suppose 7*n = 19*n - 57228. Suppose -n*y = -4772*y + 12. Find p such that 9/2*p**y - 15/2*p**2 + 6*p**3 - 15/4*p**5 + 3 - 9/4*p = 0. -1, -4/5, 1 Let x(g) be the first derivative of 68*g + 205 - 1/2*g**4 + g**2 - 68/3*g**3. Factor x(n). -2*(n - 1)*(n + 1)*(n + 34) Let t = -11682/373 + 36538/1119. Factor -t*m**2 - 34/9*m + 2/3. -2*(m + 3)*(6*m - 1)/9 Let o = -10 + 21. Suppose -4*v + 1 = -o. Solve -3*r**3 + 3*r**v - 16*r**4 + 12*r**4 + 4*r**3 = 0 for r. 0, 1 Suppose -2*n - 135 = 5*t, 5*n + 52 - 27 = 0. Let q be 28/10 + (-5)/t. Find k such that -k**2 - 4/3 - 2/3*k**q + 1/3*k**4 + 8/3*k = 0. -2, 1, 2 Solve -18 + 4/5*l**3 + 96/5*l - 34/5*l**2 = 0. 5/2, 3 Let a(p) = -17*p**3 + 190*p**2 + 403*p - 85. Let z(b) = -25*b**3 + 286*b**2 + 604*b - 128. Let t(j) = -8*a(j) + 5*z(j). Factor t(q). (q - 10)*(q + 2)*(11*q - 2) Let f(o) = -11*o**2 + 1. Let b(c) = 43*c**2 - 155*c - 158. Let z(t) = -b(t) - 4*f(t). Find v such that z(v) = 0. -154, -1 Let r(i) be the third derivative of i**9/672 + i**8/112 + 3*i**7/560 - i**3/6 + 62*i**2. Let f(h) be the first derivative of r(h). Solve f(u) = 0 for u. -3, -1/3, 0 Let t(w) = 27*w**2 - 15285*w + 15201. Let l(c) = -3*c**2 + 1698*c - 1689. Let a(v) = -19*l(v) - 2*t(v). Let a(i) = 0. What is i? 1, 563 Factor -92/3*c**2 - 104/3*c + 32/3 - 16/3*c**3. -4*(c + 2)*(c + 4)*(4*c - 1)/3 Let v be ((-1071999)/(-6560))/19 - 8. Let i = -1/1312 + v. Factor 3/5*o**3 + 3/5 - 3/5*o**2 - i*o. 3*(o - 1)**2*(o + 1)/5 Suppose 10*p - 637 = -3*p. Let s be (p/147)/(1/12*2). Factor 4*x**3 + 10/19*x**5 + 26/19*x - 4/19 - 44/19*x**4 - 64/19*x**s. 2*(x - 1)**4*(5*x - 2)/19 Let j(w) be the third derivative of -w**7/70 + 75*w**6/2 - 84375*w**5/2 + 52734375*w**4/2 - 19775390625*w**3/2 - 2017*w**2. Let j(p) = 0. What is p? 375 Suppose -3/2*w**4 - 15*w**3 + 15*w + 114*w**2 - 225/2 = 0. What is w? -15, -1, 1, 5 Factor 1620*l**2 - 14*l**3 + 101728*l + 19*l**3 + 31097*l + 259210. 5*(l + 2)*(l + 161)**2 Suppose 22*a - 563 - 713 = 0. Factor -32*b**2 - 6 - 9 + 2*b**3 - 13 - 4*b**3 - a*b. -2*(b + 1)**2*(b + 14) Let x be 22 + 18/(18/(-19)). Let u(t) be the second derivative of -1/5*t**5 + 0 + 34*t + 0*t**2 - 1/3*t**4 + 4/3*t**x. Find n such that u(n) = 0. -2, 0, 1 Let f(o) be the first derivative of -2*o**5/55 + 180*o**4/11 - 64076*o**3/33 - 65160*o**2/11 - 65522*o/11 - 1479. Factor f(b). -2*(b - 181)**2*(b + 1)**2/11 Let l = 25361 + -608663/24. Let g(q) be the first derivative of -5/12*q**2 - 14 + 1/3*q + 1/6*q**3 - 1/30*q**5 + l*q**4. Factor g(u). -(u - 1)**3*(u + 2)/6 Let n(k) = k**3 + 23*k**2 - 77*k + 72. Let j(a) = 4*a**3 + 68*a**2 - 230*a + 216. Let w(t) = -3*j(t) + 10*n(t). What is g in w(g) = 0? 2, 9 Let m be (199/(-3998))/(72/320). Let h = 2/1999 - m. Suppose h*z + 2/3 - 2/9*z**3 - 2/3*z**2 = 0. What is z? -3, -1, 1 Let w(y) be the first derivative of 3*y**4/8 + 809*y**3/2 - 2384. Factor w(s). 3*s**2*(s + 809)/2 Suppose -22 = -12*m + 38. Find k, given that -21*k**3 - 5*k + k**5 + m*k**4 + 54*k**3 - k - 28*k**3 - 5*k**2 = 0. -3, -2, -1, 0, 1 Let l = 411 + -426. Let s(x) = 5*x**2 + 29*x + 22. Let m(n) = 35*n**2 + 205*n + 155. Let f(y) = l*s(y) + 2*m(y). Factor f(z). -5*(z + 1)*(z + 4) Let f(x) be the first derivative of x**6/12 - x**5/10 - 1671. Factor f(l). l**4*(l - 1)/2 Factor -2/23*x**2 - 236/23*x + 238/23. -2*(x - 1)*(x + 119)/23 Let n be (-10 - -14)/(12/45). Suppose n*q = 16*q. Determine a, given that 0*a - 33/5*a**2 + 3/5*a**3 + q = 0. 0, 11 Suppose -3*a - 29*i = -30*i - 10, -5 = 3*a - 4*i. Suppose -2*o = -a*o. Let -4/7*g + o + 2/7*g**2 = 0. Calculate g. 0, 2 Let n(f) be the third derivative of f**5/60 - 13*f**4/3 - 35*f**3/2 - 372*f**2. Factor n(r). (r - 105)*(r + 1) Let s = -10052 - -80419/8. Let l(n) be the third derivative of -4/3*n**3 - 12*n**2 + 0 + 0*n - s*n**4 - 1/60*n**5. Suppose l(c) = 0. Calculate c. -8, -1 Let s = 20915 - 230063/11. Let k(w) = w**2 + w. Let b be k(-1). Factor -s*n + 2/11*n**3 + 0*n**2 + b. 2*n*(n - 1)*(n + 1)/11 Let n be (-63)/105 - 4/10. Let u(g) = g**2. Let v(y) = 9*y**2 + 156*y - 2028. Let d(j) = n*v(j) + 12*u(j). Factor d(m). 3*(m - 26)**2 Let g(h) be the first derivative of 2*h**5/65 + h**4/2 + 80*h**3/39 + 36*h**2/13 - 1361. Factor g(w). 2*w*(w + 2)**2*(w + 9)/13 Let f be 13 + (-10 + (-713)/(-69))/(2/(-60)). Factor 0 + 3/2*d**f - 3*d + 3/2*d**2. 3*d*(d - 1)*(d + 2)/2 Let d(o) be the second derivative of 0 + 0*o**2 + 11/15*o**6 + 2/3*o**3 - 11/10*o**5 + 1/6*o**4 + 18*o - 1/7*o**7. Find f such that d(f) = 0. -1/3, 0, 1, 2 Let y be 5 + 11/(77/(-14)). Factor -33*d + 3*d**5 - 13 - 2 - 818*d**3 + 848*d**y - 6*d**2 + 21*d**4. 3*(d - 1)*(d + 1)**3*(d + 5) Let n be (-18*(-5)/900)/((-32)/(-2)). Let z(k) be the second derivative of 0 - 49/16*k**3 - 343/16*k**2 - 7/32*k**4 - 9*k - n*k**5. Factor z(w). -(w + 7)**3/8 Let l(w) = -2*w**2 + 26*w + 2. Let h(z) be the third derivative of -z**5/60 + 25*z**4/24 + z**3/2 + 6*z**2. Let u(i) = 2*h(i) - 3*l(i). Factor u(o). 4*o*(o - 7) Let x(i) be the third derivative of -4/35*i**7 + 2/15*i**5 + 236*i**2 + 8/3*i**3 + 1/84*i**8 + 0 + 0*i - 3/2*i**4 + 4/15*i**6. Let x(v) = 0. What is v? -1, 1, 4 Let n(b) be the first derivative of 1/7*b**3 + 30/7*b - 145 - 3/2*b**2. Solve n(d) = 0 for d. 2, 5 Let y(n) be the second derivative of -n**5/60 + n**4/72 + n**3/9 + 109*n**2 + 219*n. Let r(b) be the first derivative of y(b). Suppose r(o) = 0. What is o? -2/3, 1 Suppose 12 + 39/2*b**2 + 81*b = 0. What is b? -4, -2/13 Let r(j) be the third derivative of 0 + j - 60*j**2 - 1/100*j**5 - 1/10*j**4 - 3/10*j**3. Factor r(o). -3*(o + 1)*(o + 3)/5 Let v(o) be the third derivative of -o**8/1176 - o**7/105 + 6*o**5/35 - 20*o**2 - 5*o - 8. Find t, given that v(t) = 0. -6, -3, 0, 2 Let g(d) be the first derivative of 8/3*d**3 + 41*d + 4 + 0*d**2 - 1/3*d**4 - 1/10*d**5. Let b(q) be the first derivative of g(q). Factor b(w). -2*w*(w - 2)*(w + 4) Suppose 4*d - 4*q = -4, -2*d - 3*q + 16 - 13 = 0. Let t(k) be the second derivative of 5/6*k**3 + 0 - 11*k + d*k**2 + 5/12*k**4. What is f in t(f) = 0? -1, 0 Let u be ((-1)/4)/((-5)/(-4)) - 8/(-40). Let z(x) be the second derivative of u - 27*x**2 + 9/2*x**3 + 1/80*x**5 - 3/8*x**4 - 27*x. Factor z(b). (b - 6)**3/4 Let z(u) be the first derivative of 80*u**2 - 155/3*u**3 + 180*u + 106 + 15/4*u**4. Factor z(l). 5*(l - 9)*(l - 2)*(3*l + 2) Suppose 480 = 5*j - f, 0 = -j + 3*j + f - 192. Factor j*v**2 - v - 48*v**2 - 44*v**2. v*(4*v - 1) Let a(n) be the second derivative of 1 - 11/24*n**3 + 1/4*n**4 + 0*n**2 - 5*n - 1/80*n**5. Suppose a(t) = 0. Calculate t. 0, 1, 11 Suppose -599*d + 292*d + 293*d = -28. Let i(r) be the third derivative of 0 - 8/15*r**5 + 0*r + 6*r**d + 0*r**3 + 1/2*r**4. Determine m so that i(m) = 0. 0, 3/8 Let g(v) = 39 - 22*v + 92 + 21 + 11*v**2 + 68 + 2*v. Let u(o) = 2*o**2 + 2*o - 1. Let c(b) = g(b) - 5*u(b). Factor c(d). (d - 15)**2 Suppose -4/5*n**2 + 5512/5*n - 1898884/5 = 0. Calculate n. 689 Let h = -837444 - -837444. Let d = 714/55 + -64/5. Suppose 0*n**2 + 2/11*n**3 + h - d*n = 0. Calculate n. -1, 0, 1 Factor -39/4*t**2 - 18 - 21/4*t**3 + 3/4*t**4 + 129/4*t. 3*(t - 8)*(t - 1)**2*(t + 3)/4 Suppose -5
{ "pile_set_name": "DM Mathematics" }
11*s**2 wrt s? -8*k**3 + 6*k*s - 22 Find the second derivative of -j**2*n*o + 190*j**2*o**2 - 37*j**2 + j*n + j*o**2 + 2*n*o**2 + 2*o wrt o. 380*j**2 + 2*j + 4*n Differentiate -2*c*k**2 - 87*c*k*p**2 - 35*c*p**2 + 3*c*p + k**2*p + p with respect to k. -4*c*k - 87*c*p**2 + 2*k*p What is the third derivative of 699*l**3*x**4 + 2*l**3*x**3 - 3*l**3*x + 17*x**2 + 10*x wrt x? 16776*l**3*x + 12*l**3 What is the second derivative of 5*r**3*u**3 + 21*r**3*u**2 - 6*r**3*u + 25*r**3 wrt u? 30*r**3*u + 42*r**3 What is the third derivative of c**2*s**3 - c**2*s + 10*c*s + 749*s**4 + 2*s**2 wrt s? 6*c**2 + 17976*s Find the third derivative of -11003*n**6 + 10*n**2 + 43*n - 2 wrt n. -1320360*n**3 What is the second derivative of -846*b**2*g**2 + 2*b**2 + b*g**2 + 9*b*g + 10*b wrt b? -1692*g**2 + 4 Find the third derivative of -752*j**6 - j**2 - 543*j wrt j. -90240*j**3 Find the third derivative of -17980*y**3 - 5*y**2 + 822 wrt y. -107880 What is the first derivative of -382*l + 154? -382 Differentiate 479*h**4 - h - 1238. 1916*h**3 - 1 What is the third derivative of 27*v**4 + v**3 - 493*v**2? 648*v + 6 Find the second derivative of 507*h**2 + 475*h wrt h. 1014 What is the third derivative of -2*j**5*k**2 + 123*j**3*k**2 - j**2*k**2 - 31*j*k**2 - 5*j*k wrt j? -120*j**2*k**2 + 738*k**2 What is the third derivative of 170*s**5 + 89*s**2? 10200*s**2 Find the third derivative of -3508*k**4 + 38*k**2 - 9*k + 5. -84192*k Find the third derivative of -c*i*l**3 + 2*c*i*l - 2*c*l**3 + 3*c*l**2 - c - 278*i*l**3 - 6*i*l**2 wrt l. -6*c*i - 12*c - 1668*i Find the second derivative of 1014*j**2*o**2 - 709*j + o**2 wrt j. 2028*o**2 What is the second derivative of -10*a**2*t**3 + 2*a**2*t**2*x**2 - 16*a*t**2*x**2 + a*x**2 - 2*t**3*x wrt a? -20*t**3 + 4*t**2*x**2 What is the derivative of -29245*n**2 - 9813 wrt n? -58490*n What is the second derivative of s**3*z**2 - 23*s**3 + 282*s**2*z**2 - 2*s**2*z - 15*s wrt z? 2*s**3 + 564*s**2 What is the third derivative of 2*a*i**2*l**2 - 71*a*l**4 - 2*a*l - 2*i**2*l**4 - 5*i**2*l**2 - 5*i*l wrt l? -1704*a*l - 48*i**2*l What is the second derivative of 71*v**3 + 4*v**2*x + 9*v*x + 3*v - 1 wrt v? 426*v + 8*x What is the first derivative of -1029*m**2 + 1727 wrt m? -2058*m Find the third derivative of -14*o**6 - 3*o**3 - 347*o**2 wrt o. -1680*o**3 - 18 Find the third derivative of -17*b**3*y**3 + 54*b**3 - 600*b**2*y**3 + 2*b*y wrt b. -102*y**3 + 324 Differentiate -49*r - 175 with respect to r. -49 What is the third derivative of 2051*d**3*k**4 - 10*d**3 - 95*k**2 wrt k? 49224*d**3*k What is the third derivative of -2093*u**4 - 1320*u**2 wrt u? -50232*u Find the third derivative of 54*f**6 + 5*f**5 + 1392*f**2. 6480*f**3 + 300*f**2 Differentiate -1330*h**3*y - 9327*h**3 + 3*h**2*y + h*y - h wrt y. -1330*h**3 + 3*h**2 + h What is the first derivative of 25*n**3*s + 3477*n**3 - n*s**3 - 3*s wrt s? 25*n**3 - 3*n*s**2 - 3 What is the second derivative of -1385*d**2 - 68*d - 4 wrt d? -2770 Differentiate -11504*d - 14778. -11504 Find the second derivative of -2382*t**2 - 1595*t. -4764 Differentiate -160*i**3*q**2 + 265*i**3 - 2*i**2*q**3 wrt q. -320*i**3*q - 6*i**2*q**2 What is the third derivative of 23*b*d**3*j**3 + 10*b*d**3*j**2 + 36*b*d**2 + 2*b + d*j**3 wrt d? 138*b*j**3 + 60*b*j**2 What is the first derivative of 2*l**2*o - 2*l**2 + l - 260*o + 1652 wrt o? 2*l**2 - 260 Find the second derivative of -99*b**2*c**3 - 9*b**2 - 556*b*c**3 + 1 wrt b. -198*c**3 - 18 What is the second derivative of 10*j**2*w**3 + 2*j**2*w + j**2 - 2*j*w**3 - 4*j*w + 3*w**3 + 28*w wrt w? 60*j**2*w - 12*j*w + 18*w Find the third derivative of 2*c**3*d**3 + 112*c**3*d**2 - 52*c**2*d - 14*d**3 wrt c. 12*d**3 + 672*d**2 Find the third derivative of 2*b**5 + 2666*b**4*v + 3*b**2*v + 206 wrt b. 120*b**2 + 63984*b*v Find the second derivative of 1481*t**3 + 919*t wrt t. 8886*t What is the second derivative of -c**3*m**2*t - c**3*t + 111*c**3 - 8*c**2*m**3*t - 3*m**2*t - 2*m wrt m? -2*c**3*t - 48*c**2*m*t - 6*t Find the second derivative of -218*s**2 + 2*s + 41 wrt s. -436 Differentiate -2*l**3*o + 2416*l**3 - 40*l**2*o**2 + 181*o**2 wrt o. -2*l**3 - 80*l**2*o + 362*o What is the third derivative of 497*p**6 - 6*p**2 - 23*p? 59640*p**3 Find the second derivative of 11*b**5 + 8*b**3*c*d - b**3*c + 2*b*c*d - 5*b*c + d wrt b. 220*b**3 + 48*b*c*d - 6*b*c Find the third derivative of 3*i**5 - 110*i**4 + 384*i**2. 180*i**2 - 2640*i What is the third derivative of 322*v**3 - 240*v**2 wrt v? 1932 What is the derivative of -23*f**2*q**3 - 8*f**2*q + 9*f**2 + 2*f*q + 26*f wrt q? -69*f**2*q**2 - 8*f**2 + 2*f What is the third derivative of -4*f**6 - 8*f**5 - f**2 - 172 wrt f? -480*f**3 - 480*f**2 Find the third derivative of 19*v**6 + 166*v**4 + 2*v**3 - 201*v**2 - 1 wrt v. 2280*v**3 + 3984*v + 12 What is the second derivative of -158*a**5 + 6*a**2 + 16*a - 2 wrt a? -3160*a**3 + 12 Find the third derivative of -14*q**6 - 25*q**4*w**3 - 2*q**4 - 9*q**2*w + 90*w**3 wrt q. -1680*q**3 - 600*q*w**3 - 48*q Find the third derivative of 11*a*j**6 - 2*a*j**5 + a*j**2 - 4*a - 4 wrt j. 1320*a*j**3 - 120*a*j**2 What is the first derivative of 13*c**4 - 22*c**3 + 1873 wrt c? 52*c**3 - 66*c**2 Find the first derivative of 5*x**2 - 9*x - 2266. 10*x - 9 What is the second derivative of 795*k**2*z**2 + 569*k**2*z wrt z? 1590*k**2 Find the third derivative of 163*p**5*u + p**3*u**2 - p**2 - 73*p*u**2 wrt p. 9780*p**2*u + 6*u**2 Find the third derivative of -3*a**3*f**4 - 3*a**3*f**2 - a*f + 6*a - 525*f**5 + f**2 wrt f. -72*a**3*f - 31500*f**2 Find the third derivative of -2*f*j**3 + 106*f*j + 36*j**3 - 2*j**2 wrt j. -12*f + 216 Differentiate -472*a**4 - 394 wrt a. -1888*a**3 Differentiate -f**4 - 173*f + 358 with respect to f. -4*f**3 - 173 What is the second derivative of 64*k**2*n**2 + 2*k**2*n + 6*k*n**2 + 14*k*n wrt n? 128*k**2 + 12*k What is the second derivative of -2*d**5*s + 4*d**5 - 2*d**2*s**3 + 854*d*s**3 - s**3 wrt d? -40*d**3*s + 80*d**3 - 4*s**3 What is the third derivative of -1193*g**2*l**3*t - g**2*l + 41*g*l**2 + 3*g*l*t wrt l? -7158*g**2*t Differentiate 283*c**4 - 201. 1132*c**3 What is the second derivative of 23319*z**2 - 11401*z - 1? 46638 Find the first derivative of n*r**2 - 14*n*r + 4*n*x + 9213*r**2*x wrt n. r**2 - 14*r + 4*x Find the third derivative of -1031*g**2*y**3 + 131*g**2*y**2 wrt y. -6186*g**2 Find the third derivative of 18100*u**3 + 218*u**2 + 7. 108600 Find the first derivative of 4525*a + 6914. 4525 What is the second derivative of 25*i**5 - i**4 + 14*i**3 + 3606*i wrt i? 500*i**3 - 12*i**2 + 84*i Find the third derivative of n*v**4 - 22*n*v**3 + 68*n*v**2 - 12*n*v - n + 9*v**3 wrt v. 24*n*v - 132*n + 54 Find the third derivative of -406*o**3 - 6588*o**2 wrt o. -2436 Find the second derivative of 20*q**4 + q**2 + 12*q - 5. 240*q**2 + 2 What is the second derivative of -323*z**2 - 168*z? -646 Find the third derivative of 104*c**5 - 44*c**4*h**2 - c**2*h**2 + 1165*c**2 wrt c. 6240*c**2 - 1056*c*h**2 Find the third derivative of 2*n**4*y**2 + 13*n**4 + n**3*y - 3*n**2*y**2 - 3*y**2 wrt n. 48*n*y**2 + 312*n + 6*y Differentiate -16*b*c**2*t - b*c*t**2 - 5*b*c*t + 4*c**2*t**2 - 4*c**2 + 2*c*t**2 with respect to b. -16*c**2*t - c*t**2 - 5*c*t What is the second derivative of 181*q**3 + 3*q**2 + 271*q wrt q? 1086*q + 6 What is the third derivative of 5592*d**4 + d**3 + 633*d**2 + d + 4 wrt d? 134208*d + 6 Find the second derivative of -2*t**3*y + 138*t**2*y - 2*t**2 - 8*t*y - 30 wrt t. -12*t*y + 276*y - 4 Find the first derivative of 2*a**2 + 25*a + 464. 4*a + 25 Find the third derivative of -2*k**4 - 273*k**3 + 773*k**2. -48*k - 1638 What is the third derivative of 56*f*m**3*x**2 - f*m**3*x + f*m**3 - f*m**2*x**2 - 17*f*m**2*x + 3*m*x**2 wrt m? 336*f*x**2 - 6*f*x + 6*f Find the third derivative of 3*d**3*f*o**3 + 413*d**3*f*o - 2*d**2*f + 3*d*f*o**3 + 2*d*f*o + 8*f*o wrt d. 18*f*o**3 + 2478*f*o Differentiate 367*h - 749 wrt h. 367 What is the second derivative of -18*i**5*v + i**4*v**2 - 10*i*v - 3*v**2 wrt i? -360*i**3*v + 12*i**2*v**2 What is the derivative of b**3*k*v*y + 2*b**3*y**2 - 5*b**2*k*v*y - 2*b*k*y + k*y**3 - v*y**3 + 6 wrt v? b**3*k*y - 5*b**2*k*y - y**3 Find the third derivative of -1678*h**6 - 467*h**2 wrt h. -201360*h**3 What is the thir
{ "pile_set_name": "DM Mathematics" }
340472? True Is 1711976 a multiple of 19? True Does 9 divide 1423548? True Is 147513 a multiple of 14? False Is 861095 a multiple of 24? False Is 29 a factor of 363225? True Does 116 divide 223078? False Does 3 divide 121862? False Does 185 divide 502645? True Is 316316 a multiple of 4? True Does 20 divide 8678224? False Does 20 divide 2408906? False Is 425834 a multiple of 13? False Is 231 a factor of 703636? False Does 158 divide 655226? True Does 744 divide 946368? True Does 7 divide 3621683? False Is 162 a factor of 7453296? True Does 118 divide 185850? True Is 71 a factor of 1976001? True Is 1360987 a multiple of 31? False Is 2226500 a multiple of 122? True Is 582120 a multiple of 18? True Is 244691 a multiple of 132? False Does 20 divide 599801? False Does 61 divide 4675? False Is 4 a factor of 27290? False Does 54 divide 19068? False Does 618 divide 108768? True Does 56 divide 78176? True Does 58 divide 1020789? False Is 309 a factor of 370800? True Does 47 divide 45356? False Is 32 a factor of 377568? True Is 47 a factor of 1964036? True Is 159 a factor of 829980? True Does 128 divide 164544? False Does 157 divide 53851? True Does 8 divide 50724? False Is 82 a factor of 3477260? False Is 3334176 a multiple of 54? True Is 3954707 a multiple of 29? False Is 15 a factor of 25172? False Is 6966744 a multiple of 45? False Is 105 a factor of 3250800? True Does 28 divide 395416? True Is 115186 a multiple of 15? False Is 189 a factor of 1881573? False Does 16 divide 4964670? False Does 238 divide 570746? False Does 5 divide 665520? True Does 4 divide 953112? True Is 1262331 a multiple of 27? True Does 207 divide 3459774? False Is 7 a factor of 341905? False Is 141 a factor of 5838951? True Is 410679 a multiple of 30? False Is 26 a factor of 416974? False Does 622 divide 742046? True Is 198591 a multiple of 316? False Does 521 divide 379809? True Is 6 a factor of 1261353? False Is 3181753 a multiple of 319? False Is 311532 a multiple of 78? True Does 100 divide 245700? True Is 1475 a factor of 5210218? False Is 8264503 a multiple of 33? False Is 246 a factor of 137760? True Is 866 a factor of 21994? False Is 14 a factor of 1926951? False Is 317280 a multiple of 120? True Is 285324 a multiple of 59? True Does 90 divide 188640? True Is 17 a factor of 25143? True Is 2442329 a multiple of 11? False Is 86 a factor of 2311852? True Is 13 a factor of 206092? False Is 83 a factor of 114476? False Is 3 a factor of 16790? False Does 313 divide 303923? True Is 1112904 a multiple of 1066? True Is 57 a factor of 211071? True Is 693 a factor of 2125322? False Does 48 divide 11865? False Is 13 a factor of 536149? False Is 565 a factor of 1688220? True Is 117379 a multiple of 21? False Does 123 divide 48339? True Is 136 a factor of 5260788? False Is 103628 a multiple of 4? True Does 102 divide 698496? True Does 22 divide 108419? False Is 41 a factor of 63796? True Does 1062 divide 3018204? True Is 56 a factor of 2800056? True Is 3466230 a multiple of 86? True Does 7 divide 121833? False Does 19 divide 481631? True Is 202076 a multiple of 10? False Is 15 a factor of 436869? False Does 12 divide 215634? False Is 2748219 a multiple of 118? False Is 160749 a multiple of 17? False Is 768 a factor of 10553856? True Is 280 a factor of 408137? False Is 147866 a multiple of 12? False Is 130 a factor of 3987230? True Is 24 a factor of 301104? True Is 70440 a multiple of 71? False Is 725610 a multiple of 95? True Is 19 a factor of 2137164? False Does 23 divide 15494? False Is 29 a factor of 5464412? True Is 1867 a factor of 393937? True Is 4092 a multiple of 22? True Is 81 a factor of 1483353? True Does 70 divide 3843283? False Is 1019 a factor of 12923027? False Is 2 a factor of 218746? True Does 24 divide 37056? True Does 14 divide 93701? False Is 38 a factor of 102144? True Is 2 a factor of 1295965? False Does 67 divide 6548087? False Does 13 divide 334739? False Is 17 a factor of 35853? True Is 10016 a multiple of 32? True Is 240398 a multiple of 13? False Does 6 divide 169008? True Is 51 a factor of 47148? False Is 79 a factor of 126030? False Is 649 a factor of 425910? False Does 79 divide 50220? False Is 26 a factor of 197288? True Is 1877298 a multiple of 39? False Does 25 divide 238249? False Does 6 divide 69574? False Does 7 divide 169281? True Is 123210 a multiple of 222? True Does 14 divide 461959? False Does 66 divide 2494734? True Is 3 a factor of 154224? True Is 62 a factor of 268832? True Is 8597882 a multiple of 18? False Is 28558 a multiple of 258? False Is 13 a factor of 472079? False Does 71 divide 2222614? False Is 86128 a multiple of 15? False Does 13 divide 136851? True Is 247 a factor of 1998971? True Is 12 a factor of 5684222? False Does 52 divide 423073? False Does 30 divide 1595880? True Is 37 a factor of 3431454? True Does 51 divide 95047? False Does 40 divide 1729040? True Does 2 divide 1701? False Is 2304392 a multiple of 8? True Is 88 a factor of 693780? False Is 312 a factor of 68862? False Does 533 divide 7703449? True Is 93 a factor of 255088? False Does 5 divide 18445? True Does 38 divide 564798? False Is 12 a factor of 2344? False Does 33 divide 638476? False Does 245 divide 961422? False Is 101760 a multiple of 384? True Is 106 a factor of 7164964? True Is 107070 a multiple of 7? False Is 73 a factor of 186296? True Does 12 divide 450873? False Does 22 divide 420618? True Is 116 a factor of 79529? False Is 1119378 a multiple of 151? False Is 23 a factor of 1018578? True Does 555 divide 2801640? True Is 19035 a multiple of 81? True Does 2 divide 97308? True Does 85 divide 50099? False Does 17 divide 1365214? False Is 277641 a multiple of 339? True Is 1497941 a multiple of 3? False Is 80712 a multiple of 118? True Is 10694350 a multiple of 25? True Is 385 a factor of 129329? False Is 38 a factor of 1937696? True Does 47 divide 85164? True Is 102724 a multiple of 10? False Is 108 a factor of 119664? True Does 90 divide 15930? True Does 122 divide 243634? True Does 39 divide 129207? True Is 406 a factor of 3789939? False Is 20474544 a multiple of 48? True Is 376803 a multiple of 7? True Is 115 a factor of 48990? True Is 2 a factor of 276488? True Does 151 divide 10482118? True Is 54 a factor of 99742? False Is 7 a factor of 120645? True Is 29 a factor of 4503042? False Is 99283 a multiple of 101? True Is 43 a factor of 1004867? True Is 62 a factor of 379254? True Is 7573528 a multiple of 443? True Is 889228 a multiple of 131? True Does 28 divide 4298336? True Is 123291 a multiple of 21? True Is 88560 a multiple of 3? True Is 25333 a multiple of 13? False Is 700 a factor of 95890? False Is 9 a factor of 282927? False Is 351 a factor of 352404? True Is 25 a factor of 59250? True Is 265555 a multiple of 13? False Does 6 divide 207792? True Is 89 a factor of 648899? True Does 20 divide 1003730? False Is 18 a factor of 307619? False Does 190 divide 23687? False Is 361 a factor of 5614239? False Does 71 divide 172017? False Is 15 a factor of 13817466? False Does 79 divide 1167067? True Does 76 divide 50464? True Is 1181290 a multiple of 531? False Does 32 divide 1677568? True Is 55 a factor of 254650? True Is 129 a factor of 1614951? True Is 269 a factor of 141420? False Is 342590 a multiple of 40? False Is 655797 a multiple of 3? True Does 72 divide 425516? False Is 5 a factor of 4164? False Is 296160 a multiple of 57? False Does 17 divide 280432? True Does 92 divide 56396? True Does 38 divide 13332604? True Does 71 divide 5470374? False Is 17 a factor of 741897? True Does 13 divide 56166? False Is 160190 a multiple of 121? False Is 83409 a multiple of 98? False Does 54 divide 238601? False Is 305 a factor of 1865102? False Is 48829 a multiple of 16? False Is 31366 a multiple of 77? False Is 32867 a multiple of 113? False Is 1788935 a multiple of 5? True Is 1122732 a multiple of 52? True Is 25 a factor of 288000? True Is 17 a factor of 10124877? True Does 571 divide 604853? False Does 34 divide 547026? True Does 105 divide 692895? True Is 329295 a multiple of 145? True Does 33 divide 5718095? False Is 1429653 a multiple of 488? False Does 98 divide 10228192? False Does 7 divide 146113? False Does 117 divide 446711? False Does 643 divide
{ "pile_set_name": "DM Mathematics" }
Round -0.00000936239 to seven decimal places. -0.0000094 Round 0.000001408021 to seven decimal places. 0.0000014 What is -0.000000745723 rounded to 7 dps? -0.0000007 What is 1809310 rounded to the nearest 1000000? 2000000 Round 2.963858 to 2 dps. 2.96 Round -105.0316 to zero decimal places. -105 Round -57543.024 to the nearest ten thousand. -60000 Round 0.018886656 to 5 dps. 0.01889 What is 62049.24 rounded to the nearest ten? 62050 Round -6908.23 to the nearest one thousand. -7000 What is 0.01844279 rounded to five dps? 0.01844 Round 0.1747361 to four decimal places. 0.1747 What is 429.2805 rounded to the nearest ten? 430 Round -0.000533584 to 4 decimal places. -0.0005 Round -1661.1359 to 0 dps. -1661 What is 0.000364849 rounded to six dps? 0.000365 Round 0.2691252 to two dps. 0.27 Round 198340280 to the nearest one million. 198000000 Round -826761 to the nearest one hundred thousand. -800000 Round -0.0006926053 to five decimal places. -0.00069 What is -0.0068181 rounded to two decimal places? -0.01 What is 103.01372 rounded to the nearest integer? 103 Round -0.003824343 to 5 decimal places. -0.00382 What is 1920260 rounded to the nearest 10000? 1920000 Round -7147900 to the nearest one hundred thousand. -7100000 What is 0.00000240403 rounded to seven decimal places? 0.0000024 What is -14738.797 rounded to the nearest one hundred? -14700 What is 855831 rounded to the nearest 1000? 856000 What is 0.000017142051 rounded to 6 dps? 0.000017 What is -1084.7798 rounded to zero dps? -1085 Round 2439.8631 to the nearest 10. 2440 Round -0.0000748396 to five decimal places. -0.00007 What is -2356.3033 rounded to the nearest 10? -2360 What is 0.000012065 rounded to 4 dps? 0 What is -95659 rounded to the nearest 1000? -96000 Round 0.000000146983 to seven decimal places. 0.0000001 Round -51309.17 to the nearest 10000. -50000 Round -0.0292806 to 3 dps. -0.029 Round -0.001907467 to five decimal places. -0.00191 Round 18247.09 to the nearest one hundred thousand. 0 Round 0.001102349 to four dps. 0.0011 What is 8191038 rounded to the nearest 100000? 8200000 Round -0.0006448373 to 4 dps. -0.0006 Round -0.000044027858 to seven decimal places. -0.000044 What is 2080700 rounded to the nearest 100000? 2100000 What is 0.953677 rounded to three dps? 0.954 What is -0.234775 rounded to 2 dps? -0.23 What is -0.008573759 rounded to 4 dps? -0.0086 What is 26844970 rounded to the nearest one million? 27000000 Round -0.00751829 to 5 decimal places. -0.00752 Round -0.4333602 to two decimal places. -0.43 Round -309.807 to the nearest integer. -310 What is 188782 rounded to the nearest ten thousand? 190000 Round 15941.64 to the nearest ten. 15940 What is 0.02640635 rounded to two dps? 0.03 Round -21817100 to the nearest one hundred thousand. -21800000 Round -1262.3809 to the nearest one hundred. -1300 What is 5500840 rounded to the nearest 100000? 5500000 What is 0.00000167401231 rounded to seven dps? 0.0000017 What is -0.0000000068004 rounded to seven dps? 0 What is -0.12276491 rounded to three decimal places? -0.123 What is 59.917663 rounded to the nearest ten? 60 Round -172.1697 to 1 dp. -172.2 What is -0.075256 rounded to two dps? -0.08 What is -0.0000002008136 rounded to seven decimal places? -0.0000002 What is -1017090 rounded to the nearest 100000? -1000000 Round -67790 to the nearest ten thousand. -70000 What is -37528.4 rounded to the nearest 100? -37500 What is -661.9152 rounded to the nearest 10? -660 What is -519.3111 rounded to the nearest one hundred? -500 Round -1707.26 to the nearest 1000. -2000 Round 37148.8 to the nearest 100. 37100 What is -1579.1 rounded to the nearest 1000? -2000 What is 0.000057398124 rounded to 6 decimal places? 0.000057 Round 1548329.5 to the nearest 100000. 1500000 What is -0.14441237 rounded to three dps? -0.144 Round -389.7029 to zero dps. -390 What is 0.000139322 rounded to five dps? 0.00014 Round -175.2446 to one dp. -175.2 Round 0.028983268 to four decimal places. 0.029 Round -33676.42 to the nearest 100. -33700 Round -226.48915 to the nearest 100. -200 Round 5165230 to the nearest one million. 5000000 What is 0.00016270008 rounded to five dps? 0.00016 What is 0.000046579 rounded to six dps? 0.000047 What is -2037.68 rounded to the nearest ten? -2040 Round -3.8553247 to 1 dp. -3.9 What is -5643.338 rounded to the nearest 1000? -6000 What is -0.00201408 rounded to 4 decimal places? -0.002 What is -628.02 rounded to the nearest one hundred? -600 What is -0.0001171049 rounded to 4 dps? -0.0001 What is 51850200 rounded to the nearest 1000000? 52000000 Round 0.07574868 to 3 decimal places. 0.076 Round -59683959 to the nearest 100000. -59700000 What is 11489.04 rounded to the nearest 10? 11490 What is 1794.505 rounded to the nearest ten? 1790 What is -1.3795162 rounded to two decimal places? -1.38 What is -789.594 rounded to the nearest 10? -790 Round -25761.688 to the nearest one thousand. -26000 What is -144498.23 rounded to the nearest 1000? -144000 Round -0.00068481 to four dps. -0.0007 What is 0.2971451 rounded to 1 dp? 0.3 Round 0.017891 to two dps. 0.02 What is 13668.413 rounded to the nearest 100? 13700 What is 0.00006776202 rounded to seven decimal places? 0.0000678 What is -0.196658 rounded to the nearest integer? 0 Round 0.0006079357 to five decimal places. 0.00061 What is -0.000007467073 rounded to seven dps? -0.0000075 Round 564943.6 to the nearest one hundred thousand. 600000 Round 2.2174445 to 3 decimal places. 2.217 Round 0.63984004 to three decimal places. 0.64 Round -0.007756761 to four dps. -0.0078 What is 113273.5 rounded to the nearest 10000? 110000 What is -27564.5 rounded to the nearest 10000? -30000 What is 0.0630251 rounded to 4 dps? 0.063 Round 237805.6 to the nearest ten thousand. 240000 What is 38674900 rounded to the nearest 1000000? 39000000 Round -0.01335566 to 4 dps. -0.0134 Round 0.00000119285822 to 7 decimal places. 0.0000012 Round 241.244 to the nearest 10. 240 What is 0.000571587 rounded to 6 dps? 0.000572 What is -6.851911 rounded to one decimal place? -6.9 What is -4302290 rounded to the nearest one million? -4000000 What is -0.000001422836 rounded to seven decimal places? -0.0000014 What is 24260.484 rounded to the nearest one thousand? 24000 Round 0.00018317872 to 6 decimal places. 0.000183 What is 0.000306074 rounded to 6 dps? 0.000306 What is 0.0054810199 rounded to 4 dps? 0.0055 Round -0.00179898 to 5 decimal places. -0.0018 What is -0.0000052971145 rounded to six dps? -0.000005 Round 0.0000429631 to 5 dps. 0.00004 What is 5015970 rounded to the nearest one hundred thousand? 5000000 What is -7818995100 rounded to the nearest one million? -7819000000 Round 1976230 to the nearest one thousand. 1976000 Round 0.0783132 to 3 dps. 0.078 What is 0.00031369176 rounded to five dps? 0.00031 Round -1144 to the nearest 100. -1100 Round -1408.201 to the nearest integer. -1408 Round 279945.42 to the nearest 1000. 280000 Round 11.3314 to the nearest ten. 10 What is 48539600 rounded to the nearest one hundred thousand? 48500000 Round 89034180 to the nearest one million. 89000000 What is -0.0001870281 rounded to four decimal places? -0.0002 Round -1783426 to the nearest one thousand. -1783000 Round -35590.93 to the nearest 10. -35590 Round -1169.48 to the nearest 100. -1200 What is 1.182127 rounded to 1 decimal place? 1.2 Round 0.020562406 to three decimal places. 0.021 Round -551336.1 to the nearest 1000. -551000 Round 14245880 to the nearest 1000000. 14000000 Round -33813.63 to the nearest one thousand. -34000 What is -94.3655 rounded to the nearest ten? -90 What is 4517400 rounded to the nearest 10000? 4520000 Round -8748132000 to the nearest 1000000. -8748000000 What is 0.0423286 rounded to four dps? 0.0423 What is 310.8571 rounded to the nearest one hundred? 300 Round 3.045013 to three decimal places. 3.045 What is 54035200 rounded to the nearest one hundred thousand? 54000000 What is -0.12270401 rounded to 4 decimal places? -0.1227 What is -247525000 rounded to the nearest 100000? -247500000 Round 1105068.9 to the nearest 100000. 1100000 What is -0.000065015 rounded to 7 decimal places? -0.000065 What is 350.3619 rounded to 0 dps? 350 Round 916573 to the nearest one hundred thousand. 900000 Round -0
{ "pile_set_name": "DM Mathematics" }
at are the prime factors of 3059? 7, 19, 23 List the prime factors of 13060. 2, 5, 653 List the prime factors of 80524. 2, 41, 491 List the prime factors of 2277. 3, 11, 23 List the prime factors of 144. 2, 3 What are the prime factors of 7037? 31, 227 List the prime factors of 1667. 1667 What are the prime factors of 122166? 2, 3, 11, 617 What are the prime factors of 3464? 2, 433 List the prime factors of 979. 11, 89 List the prime factors of 722. 2, 19 List the prime factors of 1683. 3, 11, 17 List the prime factors of 22276. 2, 5569 What are the prime factors of 1959? 3, 653 List the prime factors of 99545. 5, 43, 463 What are the prime factors of 247? 13, 19 List the prime factors of 5989. 53, 113 What are the prime factors of 826? 2, 7, 59 What are the prime factors of 35990? 2, 5, 59, 61 What are the prime factors of 6645? 3, 5, 443 List the prime factors of 616. 2, 7, 11 What are the prime factors of 12888? 2, 3, 179 List the prime factors of 3001. 3001 What are the prime factors of 8919? 3, 991 What are the prime factors of 11353? 11353 List the prime factors of 63. 3, 7 What are the prime factors of 64515? 3, 5, 11, 17, 23 List the prime factors of 5031. 3, 13, 43 What are the prime factors of 658? 2, 7, 47 What are the prime factors of 28916? 2, 7229 What are the prime factors of 1519? 7, 31 List the prime factors of 882. 2, 3, 7 What are the prime factors of 96260? 2, 5, 4813 What are the prime factors of 1581? 3, 17, 31 What are the prime factors of 586? 2, 293 What are the prime factors of 121? 11 List the prime factors of 43801. 43801 List the prime factors of 6247. 6247 What are the prime factors of 52055? 5, 29, 359 List the prime factors of 1979. 1979 List the prime factors of 12780. 2, 3, 5, 71 List the prime factors of 1083. 3, 19 What are the prime factors of 1145? 5, 229 List the prime factors of 41672. 2, 5209 List the prime factors of 4668. 2, 3, 389 What are the prime factors of 1454? 2, 727 What are the prime factors of 2261? 7, 17, 19 What are the prime factors of 9385? 5, 1877 List the prime factors of 437. 19, 23 What are the prime factors of 79276? 2, 19819 List the prime factors of 2244. 2, 3, 11, 17 List the prime factors of 1023. 3, 11, 31 What are the prime factors of 561? 3, 11, 17 List the prime factors of 73794. 2, 3, 7, 251 What are the prime factors of 2735? 5, 547 What are the prime factors of 10504? 2, 13, 101 List the prime factors of 3395. 5, 7, 97 What are the prime factors of 3009? 3, 17, 59 List the prime factors of 2255. 5, 11, 41 List the prime factors of 20158. 2, 10079 What are the prime factors of 11938? 2, 47, 127 What are the prime factors of 64502? 2, 32251 What are the prime factors of 11530? 2, 5, 1153 What are the prime factors of 624? 2, 3, 13 List the prime factors of 2142. 2, 3, 7, 17 List the prime factors of 5000. 2, 5 List the prime factors of 1403. 23, 61 What are the prime factors of 42? 2, 3, 7 What are the prime factors of 869? 11, 79 What are the prime factors of 4545? 3, 5, 101 What are the prime factors of 10233? 3, 379 List the prime factors of 4200. 2, 3, 5, 7 What are the prime factors of 25134? 2, 3, 59, 71 What are the prime factors of 19193? 17, 1129 What are the prime factors of 23291? 23291 What are the prime factors of 14521? 13, 1117 What are the prime factors of 1759? 1759 What are the prime factors of 33223? 33223 List the prime factors of 1177. 11, 107 List the prime factors of 626. 2, 313 List the prime factors of 6766. 2, 17, 199 List the prime factors of 31. 31 List the prime factors of 122. 2, 61 List the prime factors of 3619. 7, 11, 47 What are the prime factors of 794? 2, 397 What are the prime factors of 25338? 2, 3, 41, 103 What are the prime factors of 3749? 23, 163 What are the prime factors of 109472? 2, 11, 311 What are the prime factors of 9124? 2, 2281 What are the prime factors of 714? 2, 3, 7, 17 List the prime factors of 2532. 2, 3, 211 What are the prime factors of 4960? 2, 5, 31 What are the prime factors of 4889? 4889 What are the prime factors of 592? 2, 37 List the prime factors of 19370. 2, 5, 13, 149 What are the prime factors of 2426? 2, 1213 What are the prime factors of 811? 811 List the prime factors of 5941. 13, 457 List the prime factors of 31278. 2, 3, 13, 401 List the prime factors of 1903. 11, 173 What are the prime factors of 25747? 25747 List the prime factors of 6048. 2, 3, 7 What are the prime factors of 102888? 2, 3, 1429 List the prime factors of 29285. 5, 5857 List the prime factors of 3231. 3, 359 List the prime factors of 98814. 2, 3, 43, 383 What are the prime factors of 1572? 2, 3, 131 List the prime factors of 69954. 2, 3, 89, 131 List the prime factors of 211100. 2, 5, 2111 List the prime factors of 928. 2, 29 List the prime factors of 1451. 1451 What are the prime factors of 7002? 2, 3, 389 List the prime factors of 602. 2, 7, 43 List the prime factors of 2092. 2, 523 What are the prime factors of 1812? 2, 3, 151 What are the prime factors of 1704? 2, 3, 71 List the prime factors of 27403. 67, 409 List the prime factors of 1688. 2, 211 What are the prime factors of 1167? 3, 389 What are the prime factors of 78185? 5, 19, 823 What are the prime factors of 18159? 3, 6053 List the prime factors of 6699. 3, 7, 11, 29 List the prime factors of 10647. 3, 7, 13 What are the prime factors of 1385? 5, 277 List the prime factors of 1423. 1423 List the prime factors of 1699. 1699 What are the prime factors of 1023? 3, 11, 31 List the prime factors of 16361. 16361 List the prime factors of 149. 149 What are the prime factors of 54760? 2, 5, 37 List the prime factors of 43894. 2, 17, 1291 What are the prime factors of 11525? 5, 461 What are the prime factors of 40512? 2, 3, 211 What are the prime factors of 38931? 3, 19, 683 List the prime factors of 21115. 5, 41, 103 What are the prime factors of 1640? 2, 5, 41 List the prime factors of 7361. 17, 433 List the prime factors of 905. 5, 181 What are the prime factors of 34149? 3, 11383 What are the prime factors of 10047? 3, 17, 197 What are the prime factors of 5832? 2, 3 List the prime factors of 2358. 2, 3, 131 What are the prime factors of 87341? 167, 523 List the prime factors of 24431. 11, 2221 What are the prime factors of 27394? 2, 13697 List the prime factors of 68545. 5, 13709 List the prime factors of 111039. 3, 37013 List the prime factors of 199. 199 What are the prime factors of 8066? 2, 37, 109 List the prime factors of 143506. 2, 11, 593 What are the prime factors of 2856? 2, 3, 7, 17 What are the prime factors of 868? 2, 7, 31 List the prime factors of 6. 2, 3 What are the prime factors of 1001? 7, 11, 13 List the prime factors of 69813. 3, 7757 What are the prime factors of 1484? 2, 7, 53 List the prime factors of 3126. 2, 3, 521 List the prime factors of 4760. 2, 5, 7, 17 List the prime factors of 50364. 2, 3, 1399 What are the prime factors of 4445? 5, 7, 127 List the prime factors of 127711. 127711 List the prime factors of 1373. 1373 What are the prime factors of 167527? 233, 719 What are the prime factors of 63996? 2, 3, 5333 What are the prime factors of 625? 5 List the prime factors of 2979. 3, 331 List the prime factors of 4793. 4793 List the prime factors of 3807. 3, 47 What are the prime factors of 81881? 37, 2213 List the prime factors of 78015. 3, 5, 7, 743 List the prime factors of 3939. 3, 13, 101 List the prime factors of 51770. 2, 5, 31, 167 What are the prime factors of 709? 709 What are the prime factors of 1931? 1931 List the prime factors of 60123. 3, 7, 409 List the prime factors of 2156. 2, 7, 11 What are the prime factors of 1475? 5, 59 What are the prime factors of 6924? 2, 3, 577 List the prime factors of 1538. 2, 769 What are the prime factors of 3856? 2, 241 List the prime factors of 6351. 3, 29, 73 What are the prime factors of 197? 197 List the prime factors of 5783. 5783 List the prime factors of 41158. 2, 13, 1583 What are the prime factors of 5701? 5701 List the prime factors of 43. 43 List the prime factors of 3269. 7, 467 What are the prime factors of 932? 2, 233 List the prime factors of 1584. 2, 3, 11 List the prime factors of 11111. 41, 271 List the prime factors of 16479. 3, 1831 What are the prime factors of 2844? 2, 3
{ "pile_set_name": "DM Mathematics" }
t a(w) = 14*w**2 + w**2 - 20*w**2 + 3*w**2 + 7*w**2. Let h(i) = 327*i. What is h(a(r))? 1635*r**2 Let p(w) = 4*w**2. Let x = 6383/1197 - -1/1197. Let l(v) be the first derivative of x*v**3 + 0*v**2 - 29 + 0*v. Give l(p(a)). 256*a**4 Let n(q) = 2*q**2 + 57. Let u(v) = -72*v - 71*v - 74*v + 292*v - 73*v. Determine n(u(m)). 8*m**2 + 57 Let x(o) = -557 - 5*o + 1126 - 613. Let h(v) = -4*v. Give h(x(m)). 20*m + 176 Let x(i) = -7*i - 691686 + 15*i + 691686 + 6*i. Let a be 10/(-15) + (-16)/(-6). Let c(f) = 4*f**2 - a*f**2 + 0*f**2. Give x(c(l)). 28*l**2 Let y(c) = 2*c**2. Let n(o) = -198*o + 421*o + 265*o + 277*o - 63*o. Give y(n(i)). 985608*i**2 Let i(b) = -b - 267. Let z(f) be the third derivative of f**4/12 + 29*f**2 - 35*f. Give z(i(y)). -2*y - 534 Let i(g) = -704*g + 11 - 441*g + 1144*g. Let b(p) = -6*p**2. Calculate b(i(d)). -6*d**2 + 132*d - 726 Let h(m) = m. Let s = -108 - -164. Let f(r) = -19*r - 23*r + 19 - 15*r + s*r. Calculate h(f(p)). -p + 19 Let p(i) = 399578*i. Let o(j) = 286*j. What is o(p(f))? 114279308*f Let q(k) = -2*k + 2. Let z(d) = 31*d**2 - 75*d**2 + 49*d**2 - 5. Calculate q(z(l)). -10*l**2 + 12 Let q(w) = 18*w + 5. Let r(k) = 377*k + 104. Let b be -2 + (252/(-8))/((-4)/8). Let f = b - 66. Let x(j) = f*r(j) + 104*q(j). Let y(z) = 2*z. What is x(y(u))? -26*u Let z(m) = -3*m. Let g(c) be the second derivative of c**4/8 - 45*c**2 - 38*c + 1. Let j(v) be the first derivative of g(v). Calculate j(z(q)). -9*q Suppose 3319 - 599 = -40*l. Let i(v) = -153*v. Let f(b) = -2*b. Let r(w) = l*f(w) + i(w). Let h(d) = -2*d**2. Give r(h(t)). 34*t**2 Let z(m) = -m + 36. Let h be z(-4). Let b(i) = 16*i + 22*i - h*i. Let l(q) = -6*q. Determine b(l(t)). 12*t Let g(i) = 16*i**2. Let f(b) = -5*b**2 + 4. Let d(u) = -6*u**2 + 5. Let n = -2302 + 2298. Let h = -10 - -15. Let c(m) = h*f(m) + n*d(m). Calculate g(c(o)). 16*o**4 Let c(p) = -8 - 2*p**2 - 6*p**2 + 8 + 4*p**2. Let j(q) = -6 + 2 + 4 + 1. Let h(s) = -7*s - 7. Let i(f) = h(f) + 7*j(f). What is c(i(r))? -196*r**2 Let y(c) = 11109186*c. Let p(v) = 3*v. What is y(p(q))? 33327558*q Let t(c) = -2*c - 1. Let u(h) = -5*h - 4. Let j(i) = -4*t(i) + u(i). Let z(q) = 0*q + 4*q - 17*q. Determine z(j(s)). -39*s Let o(y) = -y. Let u(c) = -177*c - 94*c**2 + 97*c**2 - 2*c**2. What is u(o(p))? p**2 + 177*p Let t(p) = -308*p**2 + 504*p + 1764. Let z(s) = s**2 - 2*s - 7. Let a(f) = -2*t(f) - 504*z(f). Let l(q) = -3*q**2. Give a(l(k)). 1008*k**4 Let y(v) be the second derivative of 0 - 1/6*v**3 + 0*v**2 - 15*v. Let w(z) be the second derivative of z**4/2 + 6*z. Calculate w(y(k)). 6*k**2 Let t(l) be the second derivative of -l**3/2 - l. Let o be 7*((-630)/(-49))/10. Let n(w) = 13*w**2 + o*w**2 - 37*w**2 + 14*w**2. Give t(n(m)). 3*m**2 Let m(p) = -9*p**2. Let u(n) = 998796*n. Give u(m(a)). -8989164*a**2 Let a(b) = 4270*b**2 - 7*b. Let p(x) = 9*x - 3. Give p(a(i)). 38430*i**2 - 63*i - 3 Suppose -7546 - 5484 = -10*g. Let v(d) = 1303 - 35*d - g. Let h(z) = z + 3. Let b(q) = q + 2. Let t(j) = -6*b(j) + 4*h(j). Calculate t(v(f)). 70*f Let z(b) = -b**2. Let w(i) be the second derivative of 2*i - 1/2*i**2 + 1 + 2/3*i**3. What is w(z(u))? -4*u**2 - 1 Let q(x) be the first derivative of -x**3 - 12*x + 41167. Let l(y) be the third derivative of -y**4/24 - 2*y**2. What is q(l(o))? -3*o**2 - 12 Let q(k) be the second derivative of -5*k**3/6 - k**2/2 - 2175*k. Let c(j) be the second derivative of j**4/6 - 3*j. Determine q(c(s)). -10*s**2 - 1 Let t(j) = 742*j**2. Let a(x) = -2*x**2 - 61*x + 3. Give a(t(b)). -1101128*b**4 - 45262*b**2 + 3 Let b(d) = 6*d - 39. Let m(a) = -259*a**2 + 59*a**2 + 62*a**2 + 69*a**2 + 55*a**2. Give b(m(c)). -84*c**2 - 39 Let o(d) = -22*d. Let i(m) = -1. Let k(g) = -3*g - 6. Let f = -110 - -104. Let z(s) = f*i(s) + k(s). Give z(o(v)). 66*v Let j(o) = -5*o**2 - 682*o - 18. Let x(t) = 11*t**2 + 1362*t + 39. Let g(s) = -13*j(s) - 6*x(s). Let w(l) = -l**2. What is g(w(v))? -v**4 - 694*v**2 Let q(d) be the second derivative of -503*d**4/6 + d**3/3 + 2740*d. Let h(i) = -2*i. Calculate q(h(l)). -4024*l**2 - 4*l Let a(m) = 6*m**2 + 2*m - 2. Let o(x) = -19*x**2 - 7*x + 7. Let p(q) = 7*a(q) + 2*o(q). Let k(i) = 53*i. Give p(k(h)). 11236*h**2 Let m(j) = 4*j**2. Let k(c) be the second derivative of 0 + 0*c**2 - 39*c + 0*c**3 - 5/2*c**4. Calculate k(m(f)). -480*f**4 Let p(d) be the third derivative of 51*d**2 + 0 + 1/12*d**4 + 0*d + 0*d**3. Let x(l) be the third derivative of 7*l**5/12 + 17*l**2. Give p(x(i)). 70*i**2 Let k(g) = 669*g**2. Let h(m) = 7008*m. Calculate h(k(u)). 4688352*u**2 Let j(i) = 325*i - 51. Let u(g) = 9*g - 4. Give u(j(o)). 2925*o - 463 Let g(o) = o**2 - 6286678. Let h(u) = 13*u. Determine h(g(x)). 13*x**2 - 81726814 Let y(g) = -20*g**2. Let c(d) be the first derivative of -5*d**2 - 2*d + 1634. What is y(c(a))? -2000*a**2 - 800*a - 80 Let o(t) = t. Let q(j) be the second derivative of j**3/3 + 45*j. Let d(g) = -8*o(g) + 3*q(g). Let f(m) = -9*m**2 - 4*m**2 + m**2. Determine f(d(b)). -48*b**2 Let w(o) be the first derivative of 5 - 10/3*o**3 - 8*o + 0*o**2. Let j(t) be the first derivative of w(t). Let s(y) = -y. What is s(j(n))? 20*n Let k(a) = 359*a**2. Let b(h) = -13*h - 9*h + 43*h - 6*h - 9*h. Calculate k(b(q)). 12924*q**2 Let q(g) = -2207*g**2. Let x(b) = 13*b**2 + 13*b**2 - 4 + 4 - 25*b**2. Calculate x(q(m)). 4870849*m**4 Let j(z) = -2*z**2. Let s(l) be the second derivative of l**4/12 - 80*l**3/3 + 2*l + 35. Give s(j(k)). 4*k**4 + 320*k**2 Let z(v) = 23*v**2. Let i(y) = -7*y**2 - 56. Let g = -69 + 41. Let t(a) = -2. Let w(k) = g*t(k) + i(k). Calculate w(z(s)). -3703*s**4 Let c(d) = 626*d + 628*d - 1199*d. Let z(v) = 14*v. Suppose -5*o - 7 = -4*j + 47, o - 42 = -4*j. Let q(i) = j*z(i) - 3*c(i). Let u(s) = 2*s. Determine u(q(x)). -22*x Let h(j) = -2*j**2 - 9*j + 8. Let g be h(-5). Let q(f) = 36*f**2 + 16*f**2 + 8*f**2 + g*f**2. Let z(s) = -2*s**2. Determine q(z(i)). 252*i**4 Let t(k) = 20*k. Let l(h) be the first derivative of -17*h**2 + h + 2223. Calculate l(t(w)). -680*w + 1 Let q(i) = 2*i**2 + 3*i. Let t(o) be the third derivative of o**4/12 - o**3 + o**2 + 5*o + 49. Calculate t(q(k)). 4*k**2 + 6*k - 6 Let o(p) = -4*p**2 + 4*p**2 + 0*p**2 + 2*p**2. Let a(v) be the third derivative of 39*v**2 - 2*v + 0*v**3 + 0 + 5/12*v**4. Calculate a(o(d)). 20*d**2 Let u(z) = -2*z. Let y be 68*((-1)/2 - -2). Let m = -101 + y. Let q(p) = p + 1. Let i(s) = 39*s**2 + s - 1. Let a(r) = m*q(r) + i(r). Give a(u(v)). 156*v**2 - 4*v Let o(m) = -3*m - 4. Let s(c) = 3*c + 3. Let w(l) = 3*o(l) + 4*s(l). Let f(z) be the second derivative of 161*z**3/6 + 144008*z. Give f(w(j)). 483*j Let r(h) = -3763*h. Let u(j) be the first derivative of 2*j**3/3 + 2314. What is u(r(a))? 28320338*a**2 Let y(n) = -3*n**2. Let j(u) be the third derivative of -629*u**4/8 + 2*u**2 + 403*u - 3. Determine y(j(k)). -10682307*k**2 Let a(v) = -2*v**2 + 9*v. Let g(j) = 83*j + 7644. Calculate g(a(d)). -166*d**2 + 747*d + 7644 Let o(f) be the third derivative of -1/8*f**4 + 0*f + 0*f**3 + 0 + 70*f**2. Let r(d) = -26*d**2. Give r(o(k)). -234*k**2 Let d(a) be the first derivative of -3*a**2 - 3*a - 10645. Let p(h) = -19*h - 3. What is d(p(y))? 114*y + 15 Let u(p) = 2*p**3 - 17*p**2 + 30*p - 122. Let l be u(11). Let x(m) = -812*m**2 - 3 + l*m**2 + 3. Let q(a) = -486*a**2. Determine q(x(t)). -486*t**4 Let v(g) be the second derivative of g**4/3 + 2*g + 373. Let u(m) = -m + 68. Give v(u(f)). 4*f**2 - 544*f + 18496 Let k(v) = -v. Let s(c) = -11416406*c. What is k(s(d))? 11416406*d Let r be (-1 - 2)/((-9)/6). Let k(q) = 6 + 3*q**r - 6. Let m(o) be the third derivative of -3*o**4/8 - 15216*o**2. Determine m(k(i)). -27*i**2 Let v(g) = -2986580*g**2. Let i(b) = -120*b. Give v(i(x)). -43006752000*x**2 Let b(d) = 3*d**2. Suppose 86 = 32*f + 22. Let n(a) = -a - 1231 + 1231 - f*a. Calculate n(b(t)). -9*t**2 Let z(l) = 3*l. Let q(a) = -2*a - 5751*a**2 + 4083*a**2 + 2*a. Calculate q(z(d)). -15012*d**2 Let p(r) = -2*r**2. Let i(g) be the first derivative of 101 - 31*g**2 - 39*g**2 - 185*g + 106*g**2 - 37*g**2. Calculate p(i(j)). -8*j**2 - 1480*j - 68450 Let x(c) = 6*c - 18. Let z(n) = -4*n + 13. Let q(a) = 5*x(a) + 7*z(a). Let f(g) = -1. Let p(y) = -5*f(y) - 5*q(y). Let v(o) = -8*o**2. Calculate p(v(l)). 80*l**2 Let k(p) = -6*p**2 - 4*p. Let g(h) = -6*h**2 - 3*h.
{ "pile_set_name": "DM Mathematics" }
9624955, 12031198? 2406243*p - 17 What is the f'th term of 435, 1436, 3073, 5346, 8255, 11800? 318*f**2 + 47*f + 70 What is the i'th term of 697209, 1394447, 2091685, 2788923, 3486161, 4183399? 697238*i - 29 What is the o'th term of -2577623, -5155248, -7732873, -10310498? -2577625*o + 2 What is the r'th term of 985914, 985907, 985900, 985893, 985886? -7*r + 985921 What is the i'th term of -9278, -19682, -30094, -40514, -50942? -4*i**2 - 10392*i + 1118 What is the u'th term of 23276654, 23276652, 23276650? -2*u + 23276656 What is the f'th term of -14886, -61382, -138872, -247356? -15497*f**2 - 5*f + 616 What is the g'th term of 3819, 15011, 33663, 59775, 93347, 134379? 3730*g**2 + 2*g + 87 What is the g'th term of -740576, -1481124, -2221660, -2962184, -3702696, -4443196? 6*g**2 - 740566*g - 16 What is the d'th term of -9058, -36671, -82690, -147115? -9203*d**2 - 4*d + 149 What is the q'th term of -267, -131, 131, 567, 1225, 2153, 3399? 8*q**3 + 15*q**2 + 35*q - 325 What is the c'th term of 579643, 2318541, 5216699, 9274117, 14490795, 20866733? 579630*c**2 + 8*c + 5 What is the m'th term of -21863187, -21863189, -21863191, -21863193, -21863195? -2*m - 21863185 What is the u'th term of 284089, 1136337, 2556741, 4545301, 7102017, 10226889? 284078*u**2 + 14*u - 3 What is the y'th term of 591, 482, 373, 264, 155, 46? -109*y + 700 What is the s'th term of -22835, -45187, -67527, -89849, -112147, -134415? s**3 - 22359*s - 477 What is the f'th term of -413972651, -413972654, -413972659, -413972666? -f**2 - 413972650 What is the f'th term of 97582846, 97582839, 97582832, 97582825, 97582818, 97582811? -7*f + 97582853 What is the t'th term of 7571896, 7571897, 7571898? t + 7571895 What is the i'th term of -13738, -26720, -48358, -78652, -117602, -165208, -221470? -4328*i**2 + 2*i - 9412 What is the j'th term of -332303, -332216, -331997, -331580, -330899, -329888? 11*j**3 + 10*j - 332324 What is the i'th term of -72, -1244, -4446, -10692, -20996? -169*i**3 - i**2 + 14*i + 84 What is the m'th term of -2649, -2602, -2565, -2544, -2545? -m**3 + m**2 + 51*m - 2700 What is the n'th term of 253, 1118, 2585, 4654, 7325, 10598, 14473? 301*n**2 - 38*n - 10 What is the m'th term of 4461475, 35691766, 120459697, 285534088, 557683759, 963677530, 1530284221, 2284272652? 4461470*m**3 + m + 4 What is the a'th term of -178450, -356882, -535308, -713728, -892142, -1070550? 3*a**2 - 178441*a - 12 What is the p'th term of -13610, -5987, 6718, 24505, 47374, 75325? 2541*p**2 - 16151 What is the x'th term of -60285, -62721, -65161, -67605? -2*x**2 - 2430*x - 57853 What is the v'th term of 3837, 14278, 31351, 55050, 85369? -v**3 + 3322*v**2 + 482*v + 34 What is the x'th term of -171924, -170961, -170000, -169041, -168084, -167129, -166176? -x**2 + 966*x - 172889 What is the q'th term of 2816451, 2816457, 2816465, 2816475? q**2 + 3*q + 2816447 What is the v'th term of 1086, 2193, 3294, 4389? -3*v**2 + 1116*v - 27 What is the g'th term of -1141656, -2284268, -3426880, -4569492? -1142612*g + 956 What is the l'th term of -2093, -3051, -3995, -4925, -5841, -6743? 7*l**2 - 979*l - 1121 What is the p'th term of -1930, -8132, -18468, -32938? -2067*p**2 - p + 138 What is the q'th term of 15770, 25608, 35446? 9838*q + 5932 What is the u'th term of -16902220, -16902244, -16902266, -16902286? u**2 - 27*u - 16902194 What is the v'th term of -1658130, -1658164, -1658228, -1658328, -1658470, -1658660, -1658904, -1659208? -v**3 - 9*v**2 - 1658120 What is the s'th term of 4446, 9038, 13630, 18222? 4592*s - 146 What is the q'th term of -9605, -9526, -9445, -9368, -9301, -9250? -q**3 + 7*q**2 + 65*q - 9676 What is the q'th term of 20300, 21009, 22196, 23861? 239*q**2 - 8*q + 20069 What is the h'th term of -46300657, -185202638, -416705939, -740810560, -1157516501? -46300660*h**2 - h + 4 What is the f'th term of -4792, -2938, -1070, 818, 2732, 4678, 6662, 8690? f**3 + f**2 + 1844*f - 6638 What is the b'th term of 119657, 241273, 362889, 484505, 606121? 121616*b - 1959 What is the m'th term of 836, 3565, 10856, 24953, 48100, 82541? 374*m**3 + 37*m**2 + 425 What is the o'th term of -512845, -1025655, -1538467, -2051281? -o**2 - 512807*o - 37 What is the m'th term of 23052, 46031, 69010? 22979*m + 73 What is the l'th term of 252062, 504056, 756050? 251994*l + 68 What is the z'th term of -121494, -243267, -365310, -487623, -610206? -135*z**2 - 121368*z + 9 What is the n'th term of -30511, -60579, -90647, -120715? -30068*n - 443 What is the h'th term of 4386, 8470, 12554, 16638, 20722, 24806? 4084*h + 302 What is the f'th term of 86660263, 86660264, 86660265, 86660266, 86660267, 86660268? f + 86660262 What is the r'th term of 8588953, 17177925, 25766895, 34355863, 42944829, 51533793, 60122755? -r**2 + 8588975*r - 21 What is the c'th term of 101, 72, -257, -1114, -2727, -5324, -9133? -38*c**3 + 78*c**2 + 3*c + 58 What is the x'th term of 261918, 523867, 785816, 1047765, 1309714, 1571663? 261949*x - 31 What is the r'th term of -3545599, -14182515, -31910709, -56730181, -88640931, -127642959? -3545639*r**2 + r + 39 What is the f'th term of -11893, -11024, -10155, -9286, -8417, -7548? 869*f - 12762 What is the f'th term of -802158, -1604557, -2406956? -802399*f + 241 What is the y'th term of 51902, 51810, 51720, 51632, 51546, 51462? y**2 - 95*y + 51996 What is the m'th term of 7220, 8493, 9762, 11027? -2*m**2 + 1279*m + 5943 What is the w'th term of -61218, -122470, -183718, -244962, -306202? 2*w**2 - 61258*w + 38 What is the l'th term of 1843, 4252, 8269, 13894, 21127, 29968? 804*l**2 - 3*l + 1042 What is the d'th term of -4864, -19838, -44960, -80230? -5074*d**2 + 248*d - 38 What is the a'th term of 548, 634, 802, 1064, 1432, 1918? 2*a**3 + 29*a**2 - 15*a + 532 What is the t'th term of -29287255, -29287258, -29287261, -29287264, -29287267, -29287270? -3*t - 29287252 What is the o'th term of -186996, -747938, -1682850, -2991738, -4674608, -6731466, -9162318, -11967170? -o**3 - 186979*o**2 + 2*o - 18 What is the p'th term of 833, 705, 911, 1619, 2997, 5213, 8435, 12831? 28*p**3 - p**2 - 321*p + 1127 What is the f'th term of 13980, 27606, 41228, 54846, 68460? -2*f**2 + 13632*f + 350 What is the h'th term of -37257, -148979, -335173, -595833, -930953? h**3 - 37242*h**2 - 3*h - 13 What is the u'th term of -696166, -694459, -691608, -687607, -682450, -676131, -668644? u**3 + 566*u**2 + 2*u - 696735 What is the d'th term of 17514, 17522, 17498, 17442? -16*d**2 + 56*d + 17474 What is the b'th term of -220409, -440870, -661333, -881798, -1102265? -b**2 - 220458*b + 50 What is the m'th term of 3377, 6722, 10025, 13268, 16433, 19502, 22457, 25280? -3*m**3 - 3*m**2 + 3375*m + 8 What is the g'th term of -6076935, -6076916, -6076885, -6076842, -6076787? 6*g**2 + g - 6076942 What is the k'th term of 494158, 988329, 1482500, 1976671, 2470842? 494171*k - 13 What is the m'th term of -4306, -4465, -4722, -5077, -5530, -6081, -6730? -49*m**2 - 12*m - 4245 What is the k'th term of -120457, -240936, -361415, -481894, -602373? -120479*k + 22 What is the h'th term of -31461, -62657, -93853, -125049, -156245, -187441? -31196*h - 265 What is the l'th term of -5016, -27310, -64466, -116484, -183364, -265106? -7431*l**2 - l + 2416 What is the m'th term of 14048, 27975, 41902, 55829, 69756, 83683? 13927*m + 121 What is the a'th term of -6994253, -6994250, -6994247, -6994244? 3*a - 6994256 What is the x'th term of -9384, -9566, -9790, -10056, -10364? -21*x**2 - 119*x - 9244 What is the b'th term of 12620, 12098, 11576, 11048, 10508, 9950? -b**3 + 6*b**2 - 533*b + 13148 What is the b'th term of -23855, -48071, -72283, -96491? 2*b**2 - 24222*b + 365 What is the v'th term of -84951033, -169902064, -254853095, -339804126, -424755157? -84951031*v - 2 What is the r'th term of -2470, -5659, -8770, -11803, -14758? 39*r**2 - 3306*r + 797 What is the w'th term of 11691117, 23382205, 35073293, 46764381, 58455469? 11691088*w + 29 What is the i'th term of 8029, 6889, 4993, 2347, -1043, -5171, -10031? i**3 - 384*i**2 + 5*i + 8407 What is the a'th term of -26617, -51554, -73133, -89674, -99497? 280*a**3 - a**2 - 26894*a - 2 What is the w'th term of 24976, 48467, 71958, 95449, 118940, 142431? 23491*w + 1485 What is the f'th term of -34389, -
{ "pile_set_name": "DM Mathematics" }
culate the highest common factor of 180 and 48876. 12 Calculate the highest common divisor of 943 and 2009. 41 What is the greatest common factor of 2263 and 7373? 73 What is the highest common factor of 1890 and 30105? 135 What is the highest common divisor of 1224 and 4296? 24 Calculate the highest common factor of 23644 and 552. 92 What is the greatest common factor of 1196 and 22425? 299 What is the greatest common divisor of 13534 and 11514? 202 What is the highest common divisor of 582 and 28? 2 Calculate the highest common factor of 396 and 1035628. 44 Calculate the highest common factor of 196791 and 21. 21 Calculate the greatest common divisor of 3979 and 9515. 173 Calculate the greatest common divisor of 423 and 896619. 141 What is the highest common factor of 9 and 6630? 3 Calculate the greatest common divisor of 86 and 4994278. 86 Calculate the greatest common divisor of 2000 and 242500. 500 Calculate the highest common factor of 23380 and 4340. 140 Calculate the greatest common factor of 199282 and 222. 74 Calculate the highest common divisor of 30 and 2394. 6 What is the highest common divisor of 319 and 8265? 29 Calculate the greatest common divisor of 7557 and 264. 33 What is the highest common divisor of 3681 and 16769? 409 Calculate the highest common divisor of 25045 and 15. 5 What is the highest common factor of 4301 and 23851? 391 Calculate the greatest common factor of 3348 and 4367466. 1674 What is the greatest common factor of 95940 and 1107? 369 What is the greatest common factor of 48 and 121152? 48 Calculate the greatest common divisor of 294 and 831. 3 Calculate the highest common factor of 8 and 1246108. 4 What is the highest common divisor of 494780 and 1384? 692 Calculate the greatest common factor of 4142 and 114. 38 Calculate the highest common factor of 314 and 82739. 157 Calculate the greatest common factor of 9 and 693972. 9 Calculate the highest common factor of 171 and 445987. 19 Calculate the highest common divisor of 265734 and 294. 42 What is the highest common divisor of 314001 and 36? 9 Calculate the greatest common divisor of 1575 and 172025. 175 Calculate the highest common divisor of 102 and 7327. 17 What is the highest common factor of 74220 and 300? 60 What is the highest common factor of 23233 and 119? 7 What is the greatest common divisor of 80464 and 20972? 428 Calculate the highest common factor of 6789 and 2511. 93 What is the greatest common divisor of 15 and 22595? 5 What is the greatest common factor of 13897 and 2873? 13 Calculate the highest common factor of 311286 and 174. 174 What is the highest common divisor of 209332 and 708? 236 What is the greatest common factor of 825417 and 1026? 513 Calculate the highest common factor of 3107 and 1261. 13 What is the highest common divisor of 576166 and 310? 62 What is the greatest common factor of 489341 and 597? 199 Calculate the highest common divisor of 84 and 21336. 84 Calculate the greatest common factor of 217347 and 26. 13 What is the greatest common factor of 1510 and 244318? 302 What is the greatest common divisor of 213373 and 31? 31 What is the highest common factor of 1073532 and 3288? 1644 Calculate the highest common divisor of 4429 and 75499. 103 What is the highest common factor of 427 and 10858? 61 What is the greatest common divisor of 7560 and 820? 20 What is the highest common divisor of 114 and 2904? 6 What is the greatest common divisor of 5874 and 641334? 534 What is the greatest common divisor of 30052 and 55? 11 What is the greatest common divisor of 69150 and 2250? 150 What is the highest common divisor of 454 and 261731? 227 Calculate the greatest common factor of 1825 and 440920. 365 What is the highest common factor of 45128 and 144? 8 What is the greatest common factor of 1110 and 2955? 15 Calculate the highest common divisor of 64 and 2672. 16 What is the greatest common divisor of 1220 and 47092? 244 Calculate the greatest common divisor of 121905 and 6885. 405 Calculate the highest common divisor of 19126 and 3406. 262 What is the highest common divisor of 17640 and 77? 7 Calculate the greatest common divisor of 4700 and 541675. 1175 What is the greatest common divisor of 2035 and 4255? 185 Calculate the greatest common factor of 1863 and 17664. 69 Calculate the highest common factor of 396 and 305892. 36 What is the highest common factor of 546290 and 40? 10 What is the greatest common divisor of 3827 and 129406? 89 Calculate the greatest common factor of 2796 and 1704. 12 What is the highest common factor of 12 and 139476? 12 What is the highest common factor of 378426 and 354? 354 Calculate the highest common factor of 65152 and 126741. 509 What is the highest common divisor of 26144 and 43301? 817 Calculate the highest common factor of 55918 and 20682. 766 What is the greatest common factor of 12028 and 32? 4 What is the highest common factor of 11842 and 3247? 191 Calculate the highest common divisor of 1052622 and 772. 386 Calculate the greatest common factor of 30 and 7405. 5 What is the highest common factor of 147 and 54145? 49 Calculate the highest common factor of 351 and 793. 13 What is the greatest common factor of 55 and 3090967? 11 What is the greatest common factor of 28379 and 416? 13 What is the highest common divisor of 2747628 and 216? 108 What is the highest common divisor of 197253 and 8091? 279 What is the greatest common factor of 12015 and 117? 9 What is the highest common factor of 87842 and 3682? 526 What is the greatest common divisor of 310368 and 16? 16 What is the greatest common factor of 4878 and 715982? 542 Calculate the highest common divisor of 418 and 71236. 22 What is the highest common divisor of 92 and 444? 4 Calculate the greatest common factor of 54869 and 3. 1 What is the highest common factor of 665 and 6606775? 665 What is the highest common divisor of 237 and 34760? 79 Calculate the greatest common divisor of 153 and 437427. 153 Calculate the greatest common divisor of 50138 and 44. 22 Calculate the highest common factor of 42 and 16359. 21 What is the highest common divisor of 38 and 336338? 38 Calculate the greatest common factor of 3296893 and 998. 499 Calculate the greatest common divisor of 13648 and 2768. 16 What is the greatest common factor of 22589 and 49? 49 Calculate the highest common divisor of 299 and 267122. 23 Calculate the greatest common factor of 5451 and 23. 23 Calculate the greatest common factor of 82 and 1134962. 82 Calculate the highest common factor of 10180 and 340. 20 What is the highest common factor of 140 and 323855? 35 What is the greatest common divisor of 9538270 and 70? 70 What is the greatest common factor of 425 and 125? 25 What is the highest common divisor of 18 and 87258? 6 What is the highest common factor of 39 and 1636167? 39 What is the highest common divisor of 611 and 893? 47 Calculate the greatest common factor of 12587 and 921. 307 What is the greatest common divisor of 139 and 745040? 139 Calculate the highest common divisor of 54564 and 4. 4 Calculate the greatest common factor of 7921968 and 48. 48 Calculate the highest common factor of 1720 and 224288. 344 What is the greatest common factor of 840 and 9630? 30 Calculate the highest common divisor of 368 and 5842. 46 What is the highest common factor of 62031 and 276? 69 What is the highest common divisor of 841 and 2036061? 841 Calculate the highest common divisor of 93290 and 38. 38 Calculate the highest common factor of 1852690 and 5. 5 Calculate the highest common divisor of 4 and 6283. 1 Calculate the greatest common factor of 38304 and 81312. 672 Calculate the greatest common divisor of 1551143 and 1012. 253 What is the highest common divisor of 208 and 128? 16 Calculate the highest common factor of 372813 and 123. 123 What is the highest common divisor of 130 and 1740? 10 What is the highest common divisor of 4641 and 39559? 221 Calculate the greatest common factor of 339 and 16206573. 339 Calculate the greatest common divisor of 6650770 and 343. 343 What is the greatest common divisor of 912 and 17214? 114 Calculate the greatest common divisor of 24358 and 76. 38 Calculate the highest common factor of 2112 and 76164. 132 Calculate the highest common fac
{ "pile_set_name": "DM Mathematics" }
-28 and 63/212? 212 Calculate the common denominator of 11/50 and -19/100. 100 What is the common denominator of 69/196 and 107/308? 2156 What is the least common multiple of 392 and 441? 3528 What is the least common multiple of 1652 and 1416? 9912 What is the smallest common multiple of 175 and 490? 2450 What is the least common multiple of 2 and 16? 16 What is the lowest common multiple of 8 and 533? 4264 Calculate the smallest common multiple of 7 and 3653. 25571 Find the common denominator of -23/20 and 1/2732. 13660 What is the common denominator of 145/12474 and -67/10692? 74844 What is the least common multiple of 140 and 476? 2380 Calculate the lowest common multiple of 100 and 20. 100 What is the smallest common multiple of 21 and 498? 3486 Calculate the common denominator of 83/18 and 7/828. 828 Find the common denominator of -79/22 and 125/102. 1122 What is the common denominator of 35/48 and -119/162? 1296 Find the common denominator of -49/1908 and -65/252. 13356 Calculate the common denominator of -139/192 and 1/9. 576 What is the lowest common multiple of 9 and 732? 2196 Calculate the common denominator of 67/6384 and -59/224. 12768 Calculate the lowest common multiple of 869 and 553. 6083 Calculate the common denominator of 83/1828 and 20/11. 20108 Calculate the smallest common multiple of 308 and 3619. 14476 What is the common denominator of 113/18 and -39/128? 1152 Find the common denominator of -41/85 and -7/25. 425 Find the common denominator of -26/45 and 111/20. 180 Find the common denominator of -1/2443 and -113/4188. 29316 What is the smallest common multiple of 900 and 275? 9900 What is the common denominator of -68/3 and 97/8? 24 Calculate the common denominator of -4 and -77/5084. 5084 Find the common denominator of -47/10 and 7/397. 3970 Find the common denominator of 47/14 and 5/388. 2716 Calculate the common denominator of -79/10 and -103/1500. 1500 Calculate the lowest common multiple of 387 and 645. 1935 Calculate the least common multiple of 21 and 33. 231 What is the lowest common multiple of 588 and 4? 588 Find the common denominator of 127/30 and 131/70. 210 What is the common denominator of 13/291 and 35/6? 582 Calculate the common denominator of 77/10 and 65/816. 4080 What is the smallest common multiple of 28 and 284? 1988 What is the common denominator of 155/444 and 52/21? 3108 Calculate the common denominator of -53/412 and 103/14. 2884 What is the common denominator of -40/381 and 3/1270? 3810 Calculate the least common multiple of 532 and 1330. 2660 Calculate the smallest common multiple of 36 and 134. 2412 Calculate the least common multiple of 3 and 114. 114 What is the lowest common multiple of 2320 and 1450? 11600 What is the common denominator of 167/60 and 113/108? 540 Calculate the common denominator of -62/9 and 117/10. 90 What is the lowest common multiple of 27 and 9? 27 What is the common denominator of -37/136 and -63/34? 136 Find the common denominator of 103/476 and 89/432. 51408 Calculate the common denominator of 44/9 and 19/70. 630 Calculate the lowest common multiple of 20 and 234. 2340 What is the common denominator of -45/16 and -157/60? 240 Find the common denominator of 1/208 and 113/156. 624 What is the smallest common multiple of 2 and 83? 166 What is the lowest common multiple of 854 and 610? 4270 What is the least common multiple of 6 and 42? 42 What is the lowest common multiple of 132 and 1122? 2244 Calculate the smallest common multiple of 24 and 24. 24 Calculate the common denominator of 7/261 and -19/24. 2088 Calculate the lowest common multiple of 1510 and 1661. 16610 Calculate the smallest common multiple of 465 and 21. 3255 What is the common denominator of 53/200 and -89/7700? 15400 Calculate the smallest common multiple of 66 and 3. 66 What is the common denominator of 37/1410 and -53/40? 5640 Calculate the least common multiple of 2160 and 720. 2160 Calculate the common denominator of -37/14 and 7/38. 266 Find the common denominator of -1/112 and -117/28. 112 Calculate the common denominator of -101/8 and -59/144. 144 Calculate the lowest common multiple of 2589 and 39. 33657 What is the common denominator of 113/3066 and 1/12? 6132 Find the common denominator of -79/7840 and -71/10976. 54880 Calculate the smallest common multiple of 50 and 80. 400 Calculate the common denominator of -73/66 and -5/153. 3366 Calculate the common denominator of 17/804 and 9/2. 804 What is the smallest common multiple of 456 and 171? 1368 Find the common denominator of 57/1096 and -25/284. 77816 Calculate the common denominator of -97/2184 and 29/67. 146328 Find the common denominator of 13/24 and 36. 24 What is the least common multiple of 236 and 10? 1180 Calculate the lowest common multiple of 948 and 12. 948 What is the lowest common multiple of 312 and 520? 1560 Calculate the common denominator of 44/2839 and 14/9. 25551 Find the common denominator of 16/191 and 8/3. 573 What is the smallest common multiple of 2100 and 420? 2100 Calculate the common denominator of -139/7074 and -43/6. 7074 Calculate the smallest common multiple of 65 and 100. 1300 Calculate the least common multiple of 8 and 210. 840 What is the common denominator of 109/10 and -13/261? 2610 Calculate the common denominator of 41/20 and -19/4175. 16700 Calculate the smallest common multiple of 896 and 2016. 8064 What is the lowest common multiple of 28 and 7? 28 Calculate the common denominator of 21/65 and 92/195. 195 Calculate the lowest common multiple of 41 and 3. 123 What is the lowest common multiple of 36 and 18? 36 Calculate the smallest common multiple of 5 and 421. 2105 What is the common denominator of 10 and -17/304? 304 Calculate the least common multiple of 45 and 18. 90 What is the lowest common multiple of 2494 and 3? 7482 Calculate the least common multiple of 42 and 134. 2814 Find the common denominator of -31/14952 and -83/672. 59808 Calculate the common denominator of -99/2282 and -19/163. 2282 Find the common denominator of 35/1464 and -151/366. 1464 What is the least common multiple of 6 and 18? 18 Calculate the common denominator of -65/9 and 25/6. 18 Calculate the common denominator of -103/42 and -51/49. 294 What is the smallest common multiple of 891 and 1215? 13365 What is the common denominator of -109/24 and 83/12? 24 What is the lowest common multiple of 1958 and 1246? 13706 Calculate the least common multiple of 390 and 780. 780 What is the common denominator of -67/88 and 63/40? 440 Calculate the common denominator of 83/75 and -40/729. 18225 What is the smallest common multiple of 269 and 538? 538 Calculate the smallest common multiple of 38 and 640. 12160 What is the lowest common multiple of 33450 and 27? 301050 Calculate the common denominator of 43/1176 and -47/18. 3528 What is the lowest common multiple of 128 and 24? 384 What is the smallest common multiple of 39 and 255? 3315 Calculate the lowest common multiple of 94 and 22. 1034 Calculate the smallest common multiple of 186 and 4. 372 Calculate the lowest common multiple of 28 and 72. 504 Find the common denominator of 25/4257 and 34/4257. 4257 Calculate the least common multiple of 3 and 9. 9 Calculate the common denominator of 4/4851 and 95/4312. 38808 Calculate the least common multiple of 17 and 78. 1326 What is the common denominator of -3/26 and -25/7? 182 What is the smallest common multiple of 1356 and 16? 5424 What is the smallest common multiple of 10 and 800? 800 Calculate the least common multiple of 658 and 8. 2632 Find the common denominator of -1/92 and -85/784. 18032 What is the common denominator of -37/345 and 11/57? 6555 What is the lowest common multiple of 5390 and 11? 5390 What is the least common multiple of 504 and 252? 504 Calculate the least common multiple of 11 and 234. 2574 What is the common denominator of 143/372 and 17/558? 1116 Calculate the common denominator of -121/54 and -127/12. 108 Calculate the least common multiple of 54 and 2. 54 Calculate the common denominator of 25/3141 and -71/21. 21987 What is the common denominator of -55/54 and -115/564? 5076 Calculate the smallest common multiple of 32 and 4. 32 Calculate the smallest common multiple of 6514 and 13. 84682 Find the c
{ "pile_set_name": "DM Mathematics" }
vative of 106*k**2*x**3 - 7*k**2*x**2 + 2*k**2 - k*x**2 - 1321*x**3 wrt k? 212*x**3 - 14*x**2 + 4 Differentiate 1942062*j*q - 3709382*j wrt q. 1942062*j What is the third derivative of -7290*h*p**5 + 4*h + 18*p**6 + 2*p**2 + 1061*p - 1 wrt p? -437400*h*p**2 + 2160*p**3 What is the second derivative of 472*a**5 - 50*a**3 + 39767*a wrt a? 9440*a**3 - 300*a What is the first derivative of -4*d**4*x + 186*d*x**3 - 5*d*x**2 + 193114*x**3 wrt d? -16*d**3*x + 186*x**3 - 5*x**2 Find the first derivative of 1290633*v**2 - 1236552 wrt v. 2581266*v Find the third derivative of 2*i**5 + 994*i**4 + 851*i**3 - 17*i**2 + 27674*i. 120*i**2 + 23856*i + 5106 What is the first derivative of -27*j**3 + 5853*j**2 + 3464487 wrt j? -81*j**2 + 11706*j What is the first derivative of -2484*b*j**3*p*t + 6*b*j*p*t - j**3*p - 2*j**3 + 5*j**2*t - 2*j*t - 2287 wrt b? -2484*j**3*p*t + 6*j*p*t Find the third derivative of a**4*g*t - 15999*a**3*g*t + 2*a**2*t - a**2 - a*t + 3106*g*t - 2*t wrt a. 24*a*g*t - 95994*g*t Find the second derivative of 33556*x**3 + 76710*x. 201336*x Differentiate 2*i**2*m**2 - 35559*i**2*p - 78*i*m**3 - 754*i*m + 2*m**3*p with respect to p. -35559*i**2 + 2*m**3 Find the first derivative of -5937388*d**2 + 3754980. -11874776*d Find the second derivative of 8*h*j*q - 5*h*j + h*q**2 + 6*h*q + 35153*j*q**2 + j*q wrt q. 2*h + 70306*j What is the first derivative of -817800*u - 1029001 wrt u? -817800 Find the second derivative of -5*v**2*w**2 + 2*v**2 + 1797*v*w**2 + 2*v - 3*w**2 - 3480*w - 16 wrt w. -10*v**2 + 3594*v - 6 What is the second derivative of -111997*u**2 + 167995*u wrt u? -223994 What is the third derivative of -2*o**4 + 28823*o**3 + 24*o**2 + 92*o + 1 wrt o? -48*o + 172938 What is the second derivative of -l**3*p**4 - l**3*p - 17*l**3 - 39703*p**4 - 14965*p wrt p? -12*l**3*p**2 - 476436*p**2 What is the first derivative of -2856*a**2*y + 3789*a**2 - 4*a - 8*y wrt y? -2856*a**2 - 8 What is the third derivative of 105336*b**2*p**5 + b**2*p**2 - 21*b**2*p - 26*b**2 + 2*b*p**6 + 15*b*p**2 wrt p? 6320160*b**2*p**2 + 240*b*p**3 Find the second derivative of 925*r**5 + 3*r**3 + 2*r**2 - 9*r - 1126. 18500*r**3 + 18*r + 4 Differentiate 272*m**2 + 1237*m + 1026096. 544*m + 1237 What is the third derivative of 613662*v**3 - v**2 + 4942*v + 12? 3681972 Differentiate -3*c**2*y**2 + 169008*c**2 - 4190*c*y + y**2 + 2*y wrt y. -6*c**2*y - 4190*c + 2*y + 2 Differentiate 2085990*u**4 - 1433486 wrt u. 8343960*u**3 What is the derivative of 10624*n**2*y + 6*n - 92240*y wrt n? 21248*n*y + 6 Find the third derivative of 4*w**5 - 3*w**4 - 98*w**3 - 43518*w**2. 240*w**2 - 72*w - 588 What is the first derivative of -1907694*x - 1167524? -1907694 Find the second derivative of 986*l**3*m + 17*l**3 - l*m - 16*l - 8*m - 7 wrt l. 5916*l*m + 102*l Differentiate 11*y**4 - 97444*y**2 - 1019997 wrt y. 44*y**3 - 194888*y Differentiate 57919*w + 63745 wrt w. 57919 Differentiate -121*d*t**4*x + 201*d*t**4 - 261702*d*x + 3*x with respect to t. -484*d*t**3*x + 804*d*t**3 What is the third derivative of -231*l**3*x**3 - 728587*l**3 + l*x**3 - l*x**2 + 2907*x**3 wrt x? -1386*l**3 + 6*l + 17442 Find the second derivative of -6753*c*u**5 - 7*c*u**3 - c*u + 4*u - 4733 wrt u. -135060*c*u**3 - 42*c*u Find the second derivative of -345*d**5 - 238*d**4 - 7729*d - 45 wrt d. -6900*d**3 - 2856*d**2 Find the third derivative of -16*d**6*h**2 - 375*d**4*h - 378*d**2 - d*h**2 + 187*d wrt d. -1920*d**3*h**2 - 9000*d*h Differentiate 3*f*i**2 - 79643*f + 5185*i**2 with respect to i. 6*f*i + 10370*i What is the third derivative of 21439*n**5 - 607*n**2 - 3*n? 1286340*n**2 What is the second derivative of w**4 - 237*w**3 - 4*w**2 - 26521*w? 12*w**2 - 1422*w - 8 What is the second derivative of -2964420*r**4 + 898981*r wrt r? -35573040*r**2 Find the second derivative of -3891*t**3 + t**2 - 21254*t. -23346*t + 2 What is the third derivative of -2*l**3*t**3 - 19*l**3*t**2 - 7*l**3 + 45206*l*t**3 - 15*t**2 wrt t? -12*l**3 + 271236*l What is the second derivative of -105221*l**5 + 2699*l + 9? -2104420*l**3 Differentiate -51511*q - 785230 wrt q. -51511 What is the third derivative of -96886*o**4 - 16*o**2 - 236*o? -2325264*o What is the third derivative of 2*c**3*l**3 + 59358*c**3 + 72*c**2*l**3 + 2858*l**2 wrt c? 12*l**3 + 356148 What is the third derivative of 3*d*s**5 - 135*d*s**3 - 7*d*s + 3*d + 250*s**2 wrt s? 180*d*s**2 - 810*d Find the second derivative of -66624*g**5 - 6042*g + 3 wrt g. -1332480*g**3 Find the first derivative of 632299*b - 1239060 wrt b. 632299 Find the second derivative of 192190*i**5 + 1709*i + 4 wrt i. 3843800*i**3 Find the first derivative of 2*h**3*o*y - 62*h**3*y - 20*h*o - 2*o*y + 47*o + 500*y wrt h. 6*h**2*o*y - 186*h**2*y - 20*o Find the third derivative of 8*h**5 - 15296*h**4*m + h**2*m - 5515*h**2 wrt h. 480*h**2 - 367104*h*m What is the second derivative of -17191*z**2 + 221955*z? -34382 Find the third derivative of -32371*q**4 - q**3 + q**2 - 9632*q. -776904*q - 6 Find the first derivative of 2336*t**4 + 15*t**2 + 87437 wrt t. 9344*t**3 + 30*t What is the third derivative of 226438*t**4 + 25343*t**2 - 6*t? 5434512*t What is the second derivative of 1910*m**3*z**2 - 12*m**3*z - 6*m**3 - m*z**2 + 16*m*z + 2*z**2 - 11122*z wrt m? 11460*m*z**2 - 72*m*z - 36*m Find the first derivative of 91284*j - 95533. 91284 Find the third derivative of 3*d*n**4 - 799*d*n**3 - 26*d*n**2 + 17*n**4 - 2*n**3 - 648*n + 3 wrt n. 72*d*n - 4794*d + 408*n - 12 Find the third derivative of -d*i**3*r + 272*d*i**2*r - 5*d + 81950*i**3*r + 2*i**3 - 32*r wrt i. -6*d*r + 491700*r + 12 Find the second derivative of 236916*f**3*j**3 - f**3*j + f**3 - 2*f**2*j + 2*f*j**3 - 2*f*j - 1081*f wrt j. 1421496*f**3*j + 12*f*j What is the third derivative of -24*g*w**4 + 19*g*w**3 + 2*g*w**2 - 209827*g - 17*w**4 - 2*w**2 wrt w? -576*g*w + 114*g - 408*w What is the second derivative of a**4 - 2128*a**3 - 3*a**2 + 4997*a - 4? 12*a**2 - 12768*a - 6 What is the derivative of 447305*s**2 + 158088? 894610*s What is the second derivative of -23*g**4 + 813*g**2 + 425*g - 72? -276*g**2 + 1626 Find the first derivative of -141622*a**2*c**2 + a**2 - 2*a*c**2 + c**2 + 35883*c + 4 wrt a. -283244*a*c**2 + 2*a - 2*c**2 What is the third derivative of -9*c**5*x - 99346*c**3*x**3 - 24*c**2*x**3 - 4*x**3 - 1156*x wrt c? -540*c**2*x - 596076*x**3 Find the third derivative of -r**5 + 489830*r**4 + r**3 - 1862129*r**2 wrt r. -60*r**2 + 11755920*r + 6 Differentiate 70*n**2*s - 30*n**2 - 325*n*s - 6*n + 112 wrt s. 70*n**2 - 325*n Find the second derivative of 63681*b**2 - 479224*b. 127362 Find the third derivative of -4*g**2*w**4 + 24644*g**2 - 61724*g*w**4 - 39*w**2 wrt w. -96*g**2*w - 1481376*g*w Find the second derivative of 83864*b**2*k**3 - 18*b*k + 6425*k**3 wrt b. 167728*k**3 Find the second derivative of 15*l**3*w**2 + 5*l**3*w + l**3 + 131*l*w**2 + 298*l*w wrt w. 30*l**3 + 262*l Find the second derivative of -36*v**3*z**2 - 31*v**3*z + 11*v**2*z - 28*v*z**2 - 15*v*z + v - 6*z**2 wrt v. -216*v*z**2 - 186*v*z + 22*z What is the second derivative of 1186734*c**2*x + 1102341*c*x wrt c? 2373468*x Find the first derivative of 366*z**2 + 4799*z + 211772. 732*z + 4799 Find the second derivative of -13*f**4 + 6980*f**2*n*v**3 - 44*f*n*v**2 - 2*f*n*v + 6*v**3 + 15*v**2 wrt f. -156*f**2 + 13960*n*v**3 What is the third derivative of 54*i**4 + 9217*i**3 - 3212461*i**2 wrt i? 1296*i + 55302 Find the first derivative of -4738*w**3 + 7*w**2 + w - 956333. -14214*w**2 + 14*w + 1 What is the third derivative of -66119*z**3 + 5*z**2 - 6*z - 1? -396714 What is the second derivative of -2460*j**3 + 265*j**2 + 3431214*j? -14760*j + 530 What is the first derivative of 5563*b**2 + 9*b*g - g + 41665 wrt b? 11126*b + 9*g Find the third derivative of -33996*n**3 + 2*n**2 + 10179*n wrt n. -203976 What is the second derivative of 54035*h**3 + 59278*h wrt h? 324210*h Find the second derivative of -2*k*v**2 - 146*k*v + 4*k + 217657*v**2 - 5*v + 1 wrt v. -4*k + 435314 What is the second derivative of -d*t**3 - 16*d*t**2 - 1734*d*t + 694*t**3 - 2*t + 7 wrt t? -6*d*t - 32*d + 4164*t Differentiate -91906*v**4 - 3139 wrt v. -367624*v**3 What is the derivative of -926373*i**2 - 291050? -1852746*i What is the second derivative of 4*n**2*u*v**2 - 3246*n**2*u*
{ "pile_set_name": "DM Mathematics" }
or of n and 30? 6 Suppose 2*t - t + 3*q = 46, 2*t - 3*q = 65. Calculate the highest common divisor of 259 and t. 37 Let t = -3 + 7. Suppose -4*v + o + 79 = 0, -3*v + 22 = -2*v - o. Let i = -9 + v. What is the highest common divisor of i and t? 2 Suppose 5*t - 4*t = 5, 2*t = -2*d + 32. Let q(j) = 6*j**2 - 2*j - 4. Let o be q(3). What is the highest common divisor of o and d? 11 Suppose 3*d = -h + 63, 5*h - 35 = 2*d - 3*d. What is the greatest common divisor of 30 and d? 10 Let j = -6 - -9. Let l = j + 6. Let p be ((-6)/9)/(-2)*27. What is the greatest common divisor of p and l? 9 Let l be (-1 - 0) + (-14 - -33). Calculate the greatest common divisor of 6 and l. 6 Let q = -105 - -107. What is the highest common factor of 1 and q? 1 Suppose 0 = -0*k - k + 6. Suppose k*g - 44 = 2*g. What is the greatest common factor of 55 and g? 11 Suppose 221 = 5*o + 4*q - 24, -4*q - 25 = -o. Calculate the greatest common divisor of o and 9. 9 Suppose -2*w + 36 = -4*w. Let g be 24/w*(-1 + -17). Suppose 5 = t - 7. What is the highest common factor of g and t? 12 Let g(p) be the third derivative of p**4/2 - p**3/3 - 3*p**2. Let k be g(3). Calculate the greatest common factor of k and 85. 17 Let o = -417 + 615. What is the highest common divisor of o and 44? 22 Suppose 0 = -3*t + 4*z + 16, -5*t + z = 2*z - 42. Suppose 2*l - t = -2*l. Let k be -27*(3/9 - l). Calculate the greatest common factor of k and 9. 9 Let q be 0 - ((-112 - 4) + -1). Let k be (-14)/(-21)*(-78)/(-4). What is the greatest common factor of q and k? 13 Suppose -5*o = -3*j + 5, -3*j + 10 = j - 5*o. What is the highest common factor of j and 55? 5 Suppose 2*p - 307 = -0*p + 3*h, -p + h + 153 = 0. Calculate the greatest common divisor of 19 and p. 19 Suppose -5*x + 720 = -810. Let k be 0 - 1 - (1 - x). Let j = -216 + k. What is the highest common factor of j and 11? 11 Let t be 1190/40 - 1/(-4). What is the highest common factor of t and 10? 10 Let r = -4 - -6. Let m = -97 + 115. Calculate the highest common divisor of r and m. 2 Let a be 2 + (-2 - -1) + 40/5. Calculate the greatest common factor of 9 and a. 9 Suppose -w - 1 = -64. Suppose 4*m - 4 - 24 = 0. Calculate the greatest common divisor of m and w. 7 Suppose -5*v + 12 = -2*v. Suppose 2*d + 24 = v*d. Calculate the highest common factor of d and 30. 6 Let g = 130 - 125. What is the highest common divisor of g and 3? 1 Let s(d) = 4*d**2 - 3*d - 3. Suppose z = 6*z + 3*q + 35, 4*q = -3*z - 32. Let t = z + 7. Let w be s(t). What is the highest common factor of w and 8? 8 Suppose -s - 839 - 4910 = 4*w, -4*s + 5744 = -4*w. Let o be 2/(-7) - w/7. Suppose -25 + o = 5*r. What is the greatest common divisor of 4 and r? 4 Let o(m) = m**2 - 3*m + 2. Let j be o(-4). Calculate the greatest common divisor of 40 and j. 10 Let l be (9/(-18))/(1/(-36)). Calculate the greatest common divisor of l and 27. 9 Suppose -2*i + 240 = -24. What is the highest common divisor of 12 and i? 12 Let s be 26/(-91)*(-14)/2. What is the highest common divisor of 1 and s? 1 Let u be (1/(-3))/((-5)/105). Suppose -24 = -a - u. Calculate the highest common divisor of a and 187. 17 Let r be 126/7 + -2 + 4. Calculate the greatest common divisor of r and 180. 20 Suppose -9*h + 5*h = 356. Let x = 177 + h. What is the highest common divisor of 8 and x? 8 Let y(g) = -g - 17. Let q be y(-12). Let x be 102/4 + q/(-10). What is the highest common factor of 39 and x? 13 Suppose -75 = -5*r + 45. Suppose 0 = -s + 2*t + 214, 2*t + 2 = 4*t. What is the greatest common factor of s and r? 24 Let i be 5216/24 - (-1)/(-3). What is the greatest common factor of i and 31? 31 Suppose 82 = 4*r - 2*a, r + 2*a - 3 = -a. Calculate the highest common divisor of r and 144. 18 Suppose 2*a - 288 = -0*a. Let x = -7 + 25. Calculate the greatest common divisor of a and x. 18 Let l = -5 + 5. Suppose l = 2*b - 6*b + 180. Calculate the greatest common divisor of b and 9. 9 Suppose 2 + 4 = h. Suppose 14 = 3*p + 5*g - 2, 3*g = h. Let u be 9 - 1/(p - 3). Calculate the greatest common factor of 15 and u. 5 Suppose -3*t - 6 = -3. Let i be t/(-4) + 535/20. Calculate the greatest common factor of i and 81. 27 Let j be 10*(7 + (-81)/15). Suppose -73 = -t - 4*n - 9, 4*n = -2*t + 128. What is the greatest common divisor of t and j? 16 Suppose -3*s - 3*g = 0, 0 = 4*s + 6*g - 3*g - 1. Let b be -5 + 5 + s*21. Calculate the highest common factor of b and 14. 7 Let z be (-7)/((-42)/(-32))*(-3)/2. What is the greatest common divisor of z and 32? 8 Suppose 2*q + 71 = -3*w, 2*w - 59 - 28 = 3*q. Let o = 52 + q. Calculate the greatest common factor of o and 7. 7 Let h(r) be the second derivative of r**5/20 + r**4/12 + r**3/6 + 165*r**2 - 4*r. Let b be h(0). What is the greatest common factor of b and 30? 30 Let u = 6 - -26. Suppose 13 = 4*r - 5*b, -3*r - b + 30 = 2*b. Let v = 11 - r. Calculate the highest common factor of v and u. 4 Suppose -16 = -4*u - 2*x - 0*x, 4*x - 16 = -4*u. Let c = u - -3. Calculate the greatest common factor of c and 14. 7 Suppose -n + 5*i + 101 = 0, -312 = n - 5*n - 3*i. Suppose -49 = -5*t - b, -3*t - 2*b + 19 = -4*b. Calculate the highest common divisor of t and n. 9 Let c be 22/4*(-1)/3*-30. Suppose 5*t - 94 = 16. Calculate the highest common factor of c and t. 11 Let g(h) = 4*h - 8. Let d be g(5). What is the highest common factor of d and 60? 12 Suppose -h = -6*h - 4*y - 10, -2*y + 10 = 0. Let j be (-4)/12 - 92/h. What is the highest common divisor of 120 and j? 15 Suppose -13 - 27 = -4*s - 3*r, 2*s = 5*r - 6. Suppose -z - 3 = -s. What is the greatest common divisor of z and 4? 4 Suppose 4*x + 0*x - 4 = 0. Let j = 10 - 6. Calculate the greatest common factor of j and x. 1 Suppose -2*o - 3*u = 5, 25 = 4*o - 6*u + 5*u. Suppose 7*q = 2*q - o*h + 475, -3*h + 467 = 5*q. What is the greatest common factor of 13 and q? 13 Let b(l) = -l**2 - 9*l + 1. Let y(k) = -k**2 + 3*k + 6. Let v be y(5). Let j be b(v). What is the greatest common factor of 21 and j? 21 Suppose -2*q = -4*u + 30, 5*q - 6 = u - 0*u. Calculate the highest common divisor of 6 and u. 3 Let m = 57 - 33. Calculate the greatest common divisor of m and 36. 12 Let t = 45 - 32. Suppose 1 - 4 = 2*y - 3*p, 4*y = 4*p. Suppose -2*m + y*r = -r - 278, 5*m - 713 = r. What is the highest common divisor of t and m? 13 Let t = -20 + 29. Let r(j) = -4*j + 29. Let c be r(-13). Calculate the highest common factor of c and t. 9 Let f = -12 + 15. Suppose 2*w = -6, -3*w = f*z - 0*w - 255. Calculate the greatest common factor of 8 and z. 8 Suppose 4*v - 108 = -4*f, -133 = 2*f - 7*f - 4*v. Let u(i) = 125*i**2. Suppose 3 = -h + 4. Let t be u(h). Calculate the greatest common divisor of f and t. 25 Let l = 0 + 2. Let q be (l + 0 + 6)*1. What is the highest common factor of 8 and q? 8 Let l be -3 - (2/(-12) + (-447)/18). Let k be (-1)/(-3)*(29 + 4). Calculate the greatest common factor of l and k. 11 Let j = 20 + 36. Suppose 93 = 3*v + 3*d, 4*v - 127 = -4*d - d. Calculate the highest common factor of j and v. 28 Suppose -2*q = -4*q + 24. Calculate the greatest common factor of q and 12. 12 Let w = 109 + -71. Calculate the highest common factor of 190 and w. 38 Suppose -5*q + 23 - 18 = 0. Calculate the greatest common divisor of q and 11. 1 Suppose 27*k - 23*k = 60. Calculate the greatest common factor of 60 and k. 15 Suppose 0*h - 16 = -4*h. Let g = 10 - h. Let y = 2 + g. Calculate the greatest common factor of y and 8. 8 Suppose 3*g - 28 = g. Let x be (-40)/(-5)*(-84)/(-16). Calculate the highest common divisor of x and g. 14 Suppose -y + 0*y + 118 = -5*j, 442 = 4*y - 5*j. Let m be y/(-15)*(-20)/6. Suppose h + 3*h - m = 0. What is the greatest common divisor of 3 and h? 3 Suppose 2*z + 3*r = -3, 5*z - 5 = 4*z + 5*r. Suppose z = -5*y + 8*y - 66. Calculate the greatest common factor of y and 11. 11 Let w(z) = 3*z + 6. Let y be w(4). Let d be 44*(y/4 - 2). What is the highest common factor of d and 44? 22 Let f = 20 - 7. Suppose 4*b + 3*o - 453 = -0*o, 0 = b + o - 112. What is the greatest common divisor of b and f? 13 Let t = 28 + -19. Let k(o) = 8*o**2 + 4*o - 3. Let m(g) = g. Let j be m(3). Let u be k(j). Calculate the greatest common factor of t and u. 9 Let l be 4*(2 + 12/8). What is the highest common factor of l and 154? 14 Let s = 21 + -3. Let m = -6 + s. Calculate
{ "pile_set_name": "DM Mathematics" }
v + 26*v = 10 for v. 5 Solve 0 = 9*r + 56 - 92 for r. 4 Solve 0 = -7*m + 5*m - 8 for m. -4 Solve 0 = 177*g - 178*g - 1 for g. -1 Solve 506 - 486 = 5*u for u. 4 Solve 0 = 3*g + 7 - 19 for g. 4 Solve -5*t = 8*t - 91 for t. 7 Solve 8 + 4 = -6*u for u. -2 Solve -1 = -7*q - 15 for q. -2 Solve -4*o + 184 - 172 = 0 for o. 3 Solve -82 = 8*q - 138 for q. 7 Solve 0 = -4*c - 12 + 8 for c. -1 Solve 84 = 141*o - 153*o for o. -7 Solve -20 = -366*y + 361*y for y. 4 Solve 14*i + 2*i + 64 = 0 for i. -4 Solve -11*w + 2 = -9*w for w. 1 Solve 0 = -o - 23 + 20 for o. -3 Solve -12*u + 5*u = 14 for u. -2 Solve -5 = -309*s + 310*s for s. -5 Solve 4*a - 112 = -10*a for a. 8 Solve 0 = -388*t + 391*t - 15 for t. 5 Solve -41*t - 75 = 130 for t. -5 Solve -69 = 6*r + 17*r for r. -3 Solve 0*t + 4*t = 4 for t. 1 Solve -20*m + 180 = 10*m for m. 6 Solve 16*a = -5*a + 126 for a. 6 Solve 0 = 2*b - 5 - 1 for b. 3 Solve -1604*q = -1601*q - 21 for q. 7 Solve -5*y = 223 - 233 for y. 2 Solve 13*x - 180 = -258 for x. -6 Solve -7*h = -5 - 2 for h. 1 Solve 14*h = -10*h + 120 for h. 5 Solve -5 = -0*j + 5*j for j. -1 Solve 48*j - 90 = 102 for j. 4 Solve -34*m = -3*m - 4*m for m. 0 Solve 0 = -k - 8 + 5 for k. -3 Solve -25*t = 26 - 51 for t. 1 Solve 8*m - 309 = -277 for m. 4 Solve 130*s - 16 = 146*s for s. -1 Solve -2*b - 5 + 11 = 0 for b. 3 Solve -100*f = -123*f + 115 for f. 5 Solve 41*q + 189 = 20*q for q. -9 Solve 287 = 33*q + 56 for q. 7 Solve 5*x = 10*x - 5 for x. 1 Solve -217 = -9*b - 163 for b. 6 Solve 0 = 119*c - 124*c - 5 for c. -1 Solve 2*u = -8 + 6 for u. -1 Solve -2*s - s + 12 = 0 for s. 4 Solve 75 = -48*w - 21 for w. -2 Solve -2*o - 42 = -9*o for o. 6 Solve -83 + 79 = -4*q for q. 1 Solve -26*g + 46*g + 20 = 0 for g. -1 Solve 2*g = 3*g + 5*g for g. 0 Solve 295*p + 40 = 285*p for p. -4 Solve 45*y = 13*y + 128 for y. 4 Solve 133 - 148 = -5*g for g. 3 Solve 0*i - 11*i + 66 = 0 for i. 6 Solve -69 - 41 = -55*v for v. 2 Solve 17*y = 23*y + 36 for y. -6 Solve 35*m = 17*m - 126 for m. -7 Solve 0 = -23*u + 24*u + 2 for u. -2 Solve 9 = -7*p + 16*p for p. 1 Solve -3106*a + 3101*a = 15 for a. -3 Solve 18 + 16 = -17*o for o. -2 Solve 11*c + 2364 = 2276 for c. -8 Solve 75*s - 69*s = -42 for s. -7 Solve 5 - 3 = 2*j for j. 1 Solve 119*i - 244 = 113 for i. 3 Solve 15*i - 18*i + 6 = 0 for i. 2 Solve 0 = 3*z + 39 - 51 for z. 4 Solve -52*o = -92*o - 240 for o. -6 Solve 0 = -3*k + 9*k + 30 for k. -5 Solve -3*h - 7 = 2 for h. -3 Solve 0 = 7*z - 21 for z. 3 Solve -12 = 9*v - 15*v for v. 2 Solve 2*b - 12*b + 70 = 0 for b. 7 Solve -3 + 5 = i for i. 2 Solve 0 = 9*c - 44 + 35 for c. 1 Solve -3*m + 4 = -m for m. 2 Solve -16 = -38*c + 22 for c. 1 Solve 3*s = -5*s - 8 for s. -1 Solve r = 11*r - 30 for r. 3 Solve -136 = -66*l - 334 for l. -3 Solve 19*b + 45 - 140 = 0 for b. 5 Solve 0*i = 12*i - 36 for i. 3 Solve -5*d = 12*d for d. 0 Solve -57*t + 138 = -147 for t. 5 Solve -g = -2 + 7 for g. -5 Solve 12*d - 28 = 19*d for d. -4 Solve -338 + 122 = 36*a for a. -6 Solve -66*z + 45 = -57*z for z. 5 Solve -11*y + 28*y = -102 for y. -6 Solve 6 = -4*z + 2*z for z. -3 Solve -t = -8*t + 35 for t. 5 Solve 0 = -0*h - 3*h - 9 for h. -3 Solve 55 = -32*g - 9 for g. -2 Solve 2*l - 5*l + 15 = 0 for l. 5 Solve -7 = 24*t + 65 for t. -3 Solve 35*x - 72 = 43*x for x. -9 Solve -12 = -4*y + 4 for y. 4 Solve -80*f = 499 - 179 for f. -4 Solve 0 = -c + 22*c - 42 for c. 2 Solve -20*s - 384 = -204 for s. -9 Solve 19*q = 16*q + 9 for q. 3 Solve 28 = -27*r - r for r. -1 Solve 59*s - 50 = 245 for s. 5 Solve 86*w = 93*w + 42 for w. -6 Solve 1815*f = 1812*f - 9 for f. -3 Solve 146*k = 161*k - 90 for k. 6 Solve -11*d = -15*d - 20 for d. -5 Solve 12 = 10*j + 2 for j. 1 Solve -16*i - 8*i = -2*i for i. 0 Solve -8 + 0 = 2*z for z. -4 Solve 36*s - 42 = 66 for s. 3 Solve 4 = 5*p + 29 for p. -5 Solve -26*v - 58 + 136 = 0 for v. 3 Solve 74*o = 86*o + 12 for o. -1 Solve -d + 28*d - 81 = 0 for d. 3 Solve -258*c + 249*c = 45 for c. -5 Solve -2*r = 3*r for r. 0 Solve 5*t = 316 - 306 for t. 2 Solve 0 = -45*h + 49 + 86 for h. 3 Solve -5*w = -19 + 4 for w. 3 Solve -3*w = 27 - 21 for w. -2 Solve -15*q + 62*q + 282 = 0 for q. -6 Solve 327 - 367 = 10*h for h. -4 Solve 10*r = -8 - 42 for r. -5 Solve -24*d = -4*d + 140 for d. -7 Solve 0 = -0*b - 2*b - 10 for b. -5 Solve 0 = -6*j + 364 - 322 for j. 7 Solve -32*s = 7 - 231 for s. 7 Solve 9029*r + 138 = 9006*r for r. -6 Solve -37*x = -60*x - 23 for x. -1 Solve -2*j + 395 = 395 for j. 0 Solve 1 = -6*t + 19 for t. 3 Solve -15 + 6 = -3*r for r. 3 Solve -2 = 19*k + 93 for k. -5 Solve 0 = -2*b - 21 + 21 for b. 0 Solve -739 + 724 = -3*b for b. 5 Solve m - 1 = -0 for m. 1 Solve -6*z + 11*z = 10 for z. 2 Solve 0 = 11*d - 87 + 76 for d. 1 Solve 372*a = 375*a + 21 for a. -7 Solve 16*a + 79 + 33 = 0 for a. -7 Solve -16*n - 121 + 233 = 0 for n. 7 Solve 15 = -h + 12 for h. -3 Solve 11*w + 29 = -59 for w. -8 Solve 27*c - 16 = 65 for c. 3 Solve 488*h - 33 = 477*h for h. 3 Solve -41*l - 104 = 101 for l. -5 Solve -19*j = -37*j for j. 0 Solve -18*i + 35*i = -119 for i. -7 Solve 4*m = 12 - 12 for m. 0 Solve -61*q + 496 = q for q. 8 Solve 0 = 4*l + 66 - 54 for l. -3 Solve 4*q = -2*q + 24 for q. 4 Solve 0 = -4*w - 91 + 87 for w. -1 Solve 41*x - 9*x + 64 = 0 for x. -2 Solve 3*l + 7*l = 30 for l. 3 Solve -28*p + 24*p - 28 = 0 for p. -7 Solve -18*r - 1269 + 1197 = 0 for r. -4 Solve 110 = 18*j + 4*j for j. 5 Solve -37 = -55*d - 422 for d. -7 Solve 28*f - 78 = 41*f for f. -6 Solve -8*h + 2*h + 12 = 0 for h. 2 Solve 11*q - 8 = 14 for q. 2 Solve -196*s + 188*s = 8 for s. -1 Solve 51 - 55 = -2*s for s. 2 Solve 6*r + 46 = 76 for r. 5 Solve 2*a = 5*a - 12 for a. 4 Solve -69 = -2*k - 55 for k. 7 Solve -z = -10 + 12 for z. -2 Solve 91*f = 120*f + 203 for f. -7 Solve -25*y = 6*y + 9*y for y. 0 Solve -65*q + 74*q = 63 for q. 7 Solve 171 = -27*o + 360 for o. 7 Solve -16040*l + 30 = -16050*l for l. -3 Solve 0 = 1512*d - 1522*d - 20 for d. -2 Solve -27*u + 16 = -35*u for u. -2 Solve -4*q + 37 = 33 for q. 1 Solve 8*f = 3357 - 3349 for f. 1 Solve -170*v - 9 = -167*v for v. -3 Solve 18 - 18 = -3*f for f. 0 Solve -89*m = 94 + 84 for m. -2 Solve 1643 = -6*o + 1637 for o. -1 Solve 5*j + 12 = -3 for j. -3 Solve -9*b + 23 - 86 = 0 for b. -7 Solve -7*n = 2*n for n. 0 Solve -o + 6*o = 10 for o. 2 Solve 23*n = 11 + 81 for n. 4 Solve 0*w + 55 = -11*w for w. -5 Solve -8*o - 480 = -456 for o. -3 Solve 133 = -96*a - 251 for a. -4 Solve 0 = 3*b + 3 for b. -1 Solve -77*l = -83*l for l. 0 Solve 30 = -9*a + 14*a for a. 6 Solve 76*z = 72*z + 28 for z. 7 Solve 63*q = 176 + 76 for q. 4 Solve -9 = -n - 4 for n. 5 Solve 50 = -11*l - 5 for l. -5 Solve -8 + 4 = 2*u for u. -2 Solve 27 - 17 = 2*p for p. 5 Solve -17 = -18*t + 127 for t. 8 Solve -25 = 21*k - 16*k for k. -5 Solve 7*q + 58 = 58 for q. 0 Solve -39*q + 105 = -24*q for q. 7 Solve 0 = -4*u - 14 + 34 for u. 5 Solve -2*r - 5 = -13 for r. 4 Solve 9 = b + 12 for b. -3 Solve 2*s = -11 + 7 for s. -2 Solve -70 = 15*h - h for h. -5 Solve 0 = 10*t - 86 + 36 for t. 5 Solve 33*n - 7*n = -156 for n. -6 Solve -2*c - 25 = 3*c for c. -5 Solve -4 = -6*v + 32 for v. 6 Solve 31*l - 92 = 54*l for l. -4 Solve -2709*i = -2704*i + 35 for i. -7 Solve -17*d = -36*d - 57 for d. -3 Solve 0 = -25*d - 2*d - 162 for d. -6 Solve -667 = 32*p - 667 for p. 0 Solve -17*s + 15*s + 6 = 0 for s. 3 Solve 0 = 8*s + 3*s - 55 for s. 5 Solve 41*p = 36*p + 15 for p. 3 Solve 0*u = 3*u + u for u. 0 Solve 0 = 9*h + 13*h + 8*h for h. 0 Solve -183*d = -189*d for d. 0 Solve 16*i = 41*i + 125 for i. -5 Solve 2*w - 3 = -5 for w. -1 Solve 27 - 33 = -6*h for h. 1 Solve -81 + 102 = 7*j for j. 3 Solve 5*d + 49 = 14 for d. -7 Solve -18 = 4*j - 6 for j. -3 Solve 227 = -16*d + 259 for d. 2 Solve 11*p = 912 - 890 for p. 2 Solve 12 = 1945*k - 1939*k for k. 2 Solve -11*v + 49 = 60 for v. -1 Solve 282*l = 300*l - 162 for l. 9 Solve 0 = f - 13*f - 36 for f. -3 Solve 57*f = 176 + 52 for f. 4 Solve -9*u - 242 = -305 for u. 7 Solve -12*w - 50 = -2*w for w. -5 Solve 344*p = 332*p - 96 for p. -8 Solve 12 = 3*v + 18 for v. -2 Solve 27*p - 280 = -p for p. 10 Solve -6*d - 108 + 102 = 0 for d. -1 Solve 91*h + 130 = 104*h for h. 10 Solve 0 + 20 = -10*z for z. -2 Solve 0 = -16*m + 9*m + 28 for m. 4 Solve -70*c + 12 = -67*c for c. 4 Solve 0 = 81*q - 75*q + 6 for q. -1 Solve 4 = 3*u - 5 for
{ "pile_set_name": "DM Mathematics" }
00. 900000 What is -345800 rounded to the nearest ten thousand? -350000 What is 32200000 rounded to the nearest one million? 32000000 What is 20782.6 rounded to the nearest one thousand? 21000 Round -1.6271 to 1 decimal place. -1.6 What is -0.4911 rounded to 1 dp? -0.5 Round -841100 to the nearest one hundred thousand. -800000 What is 2870 rounded to the nearest one thousand? 3000 Round 78.3 to the nearest 100. 100 Round -0.0003386 to five dps. -0.00034 What is 0.00001118 rounded to 6 decimal places? 0.000011 Round 0.00079532 to five decimal places. 0.0008 What is 415900 rounded to the nearest 10000? 420000 Round -35603000 to the nearest 1000000. -36000000 What is -0.0000411 rounded to 4 dps? 0 Round 234700 to the nearest ten thousand. 230000 Round 0.0385168 to three decimal places. 0.039 What is 19890000 rounded to the nearest 1000000? 20000000 Round -0.38 to the nearest integer. 0 Round -314.7 to the nearest one hundred. -300 What is -102.54 rounded to the nearest ten? -100 What is 0.0000013735 rounded to 7 dps? 0.0000014 Round 10.3678 to one dp. 10.4 What is -332.52 rounded to the nearest 10? -330 Round 0.00625682 to five dps. 0.00626 Round -0.00873 to three decimal places. -0.009 Round -0.0918 to one dp. -0.1 What is -648 rounded to the nearest 10? -650 Round 1937800 to the nearest 1000000. 2000000 Round 0.015018 to four dps. 0.015 Round 1.6671 to 2 decimal places. 1.67 Round -0.00006616 to five dps. -0.00007 What is -0.00009483 rounded to six decimal places? -0.000095 Round 0.000690237 to six dps. 0.00069 What is 14895 rounded to the nearest one thousand? 15000 Round -108.41 to the nearest 10. -110 Round 0.000048086 to five dps. 0.00005 What is 3280 rounded to the nearest 100? 3300 What is 317716 rounded to the nearest 10000? 320000 Round -0.00004248 to 6 dps. -0.000042 What is -0.000001512 rounded to 6 dps? -0.000002 Round -4.26 to the nearest one hundred. 0 What is -2.0448 rounded to zero dps? -2 What is 0.00019195 rounded to six decimal places? 0.000192 Round -47500 to the nearest ten thousand. -50000 What is 279 rounded to the nearest ten? 280 What is 0.00000307 rounded to 7 decimal places? 0.0000031 What is -0.001499 rounded to 4 dps? -0.0015 What is -0.0002901 rounded to five decimal places? -0.00029 Round -0.005753 to three dps. -0.006 What is -0.0000404 rounded to five decimal places? -0.00004 Round -0.00149563 to 5 decimal places. -0.0015 Round 0.006434 to three dps. 0.006 Round 0.07859 to 2 decimal places. 0.08 Round 0.0036925 to 4 dps. 0.0037 Round 145810 to the nearest 10000. 150000 Round -0.0004083 to five dps. -0.00041 What is -2679000 rounded to the nearest one hundred thousand? -2700000 Round -0.443 to the nearest integer. 0 Round 0.00000222 to 7 dps. 0.0000022 Round -10.92 to zero decimal places. -11 What is 14025.7 rounded to the nearest one thousand? 14000 Round 19730000 to the nearest one million. 20000000 What is 379700 rounded to the nearest 10000? 380000 Round 50.6 to 0 decimal places. 51 Round -2.0159 to one dp. -2 Round -103.029 to the nearest ten. -100 Round 65 to the nearest 10. 70 Round -676070 to the nearest 10000. -680000 Round -0.263 to one dp. -0.3 Round -257000 to the nearest 100000. -300000 Round -0.0008335 to 5 decimal places. -0.00083 What is -1.1852 rounded to 2 decimal places? -1.19 Round 11443000 to the nearest one hundred thousand. 11400000 Round -0.11792 to 3 decimal places. -0.118 Round 353000 to the nearest one hundred thousand. 400000 What is -0.00034584 rounded to six dps? -0.000346 What is -96.11 rounded to the nearest integer? -96 What is 504890 rounded to the nearest 100000? 500000 Round 10373 to the nearest 1000. 10000 What is 0.0008865 rounded to four dps? 0.0009 Round 0.000074579 to 5 dps. 0.00007 Round -0.16428 to 3 dps. -0.164 Round -1.9675 to two dps. -1.97 What is 0.0000002099 rounded to seven dps? 0.0000002 Round 0.000000011 to seven decimal places. 0 Round 0.0000004361 to 7 dps. 0.0000004 Round -0.0002924 to five dps. -0.00029 What is 154750000 rounded to the nearest one million? 155000000 What is 11394500 rounded to the nearest 1000000? 11000000 What is -36500 rounded to the nearest 1000? -37000 What is -12.551 rounded to zero dps? -13 What is -758 rounded to the nearest 10? -760 Round 0.0000199 to 5 dps. 0.00002 Round -16495300 to the nearest 10000. -16500000 What is 864000 rounded to the nearest ten thousand? 860000 Round 63.7 to the nearest ten. 60 What is -0.000013792 rounded to six dps? -0.000014 Round -2596600 to the nearest ten thousand. -2600000 What is -0.0000153782 rounded to seven dps? -0.0000154 What is 0.23632 rounded to three decimal places? 0.236 What is -0.0039342 rounded to 5 dps? -0.00393 What is -0.0002912 rounded to five dps? -0.00029 What is 0.0011391 rounded to four decimal places? 0.0011 Round 1047000 to the nearest 1000000. 1000000 What is 6722000 rounded to the nearest 1000000? 7000000 Round 0.00334 to 4 dps. 0.0033 What is 11810000 rounded to the nearest 100000? 11800000 What is -5661000 rounded to the nearest 1000000? -6000000 Round 30.66 to the nearest 10. 30 What is 22367000 rounded to the nearest one hundred thousand? 22400000 What is -0.9456 rounded to two dps? -0.95 What is 13810000 rounded to the nearest one million? 14000000 Round -0.0483095 to 2 decimal places. -0.05 What is -321840 rounded to the nearest ten thousand? -320000 What is -48.83 rounded to the nearest 10? -50 What is -35733000 rounded to the nearest 100000? -35700000 What is -0.012175 rounded to four decimal places? -0.0122 What is -8350 rounded to the nearest 1000? -8000 What is 0.0067281 rounded to 5 decimal places? 0.00673 Round 0.0000063 to seven dps. 0.0000063 Round -0.0013674 to 4 decimal places. -0.0014 What is -0.03313 rounded to 2 decimal places? -0.03 What is -51500000 rounded to the nearest 1000000? -52000000 What is -116387 rounded to the nearest 10000? -120000 What is 0.008786 rounded to three decimal places? 0.009 What is -6093 rounded to the nearest 100? -6100 What is -328460 rounded to the nearest ten thousand? -330000 What is 12253.3 rounded to the nearest one thousand? 12000 Round -0.09858 to two dps. -0.1 Round -0.00066945 to six dps. -0.000669 What is 0.063297 rounded to 3 dps? 0.063 What is 0.00004147 rounded to 5 decimal places? 0.00004 Round 0.00011868 to six dps. 0.000119 Round 10.7837 to the nearest integer. 11 What is -15.544 rounded to the nearest ten? -20 Round 176980 to the nearest ten thousand. 180000 What is 3.5187 rounded to 2 dps? 3.52 What is -0.001149 rounded to 4 decimal places? -0.0011 What is -0.386 rounded to one dp? -0.4 What is -247100 rounded to the nearest ten thousand? -250000 Round 346140 to the nearest one hundred thousand. 300000 What is 0.000502 rounded to 4 decimal places? 0.0005 What is -0.050899 rounded to 4 dps? -0.0509 What is -0.00991 rounded to three decimal places? -0.01 Round 909 to the nearest 100. 900 Round -0.298 to 2 decimal places. -0.3 What is 0.0000048451 rounded to six decimal places? 0.000005 What is -30.07 rounded to the nearest one hundred? 0 What is -0.05028 rounded to three decimal places? -0.05 Round 0.2596 to 2 decimal places. 0.26 Round 0.1269 to two dps. 0.13 Round -204227 to the nearest ten thousand. -200000 What is -5992100 rounded to the nearest 1000000? -6000000 What is -0.006214 rounded to three dps? -0.006 What is -0.813 rounded to 1 decimal place? -0.8 Round -8650000 to the nearest one hundred thousand. -8700000 What is -2.632 rounded to 1 decimal place? -2.6 What is 0.014788 rounded to three decimal places? 0.015 Round 59.26 to the nearest 100. 100 What is -101516000 rounded to the nearest 1000000? -102000000 Round 0.179 to zero decimal places. 0 What is -0.010624 rounded to three decimal places? -0.011 What is -1412.2 rounded to the nearest 1000? -1000 What is 12028 rounded to the nearest one hundred? 12000 Round -27300000 to the nearest 1000000. -27000000 What is 2421000 rounded to the nearest one hundred thousand? 2400000 Round -0.0000266 to 5 dps. -0.00003 Round -4.815 to the nearest integer. -5 Round 0.0014395 to four dps. 0.0014 Round -0.3371 to one decimal place. -0.3 Round 0.000447 to four decimal places. 0.0004 What is 89.8 rounded to the nearest ten? 90 What is 0.0005439 rounded to four dp
{ "pile_set_name": "DM Mathematics" }
= -t**2 + 19*t + 152. Let h(b) = -b**3 - 19*b**2 + 2*b + 32. Let f be h(-19). Let q be j(f). What is the nearest to -6 in -2, 1/2, q? -2 Let d be (-1533)/8190*-3 + 2/(-20). What is the nearest to 2 in -0.059, d, 4? d Let r = 0.0679 + 44.8321. Let o = 45.119 + -0.119. Let p = r - o. Which is the closest to -1? (a) -2/21 (b) p (c) 3 b Suppose 4*g + 5*m = -16, -6*m = -5*m. Let r be ((-12)/g)/(-9)*143. Let t = -47 - r. Which is the nearest to -2/7? (a) 39 (b) t (c) -1/3 c Let g = 5191 + -5186. What is the nearest to 0 in g, 1/3, 0.55? 1/3 Let y = 19646 + -19646.3. Which is the closest to 1? (a) -2 (b) -0.01 (c) y (d) -1/3 b Let h = -8 + 2. Let f = -51215 + 51215.1. Which is the nearest to -0.2? (a) -0.3 (b) -2/7 (c) f (d) h b Let x = -1.1 - -0.1. Suppose 0 = -15*s + 28*s + 273. Let r be s/(-7)*(2 - (-11)/(-6)). Which is the closest to r? (a) -1/5 (b) x (c) 2/3 c Let b be 2/10 + (-14 - 5339/(-380)). What is the nearest to 2 in 2/11, -2.3, b? b Let v = 42058 - 42058.11. Let i be (-4)/(-10)*3/3. Which is the closest to v? (a) -3/8 (b) i (c) 2 a Let q = 4578 + -4577.7. What is the closest to q in -112, 0.5, -0.1, 2/3? 0.5 Let x = 0.05 + -6.05. Let d = -10 - x. Suppose -v + 12 = 2*z, -116*v + 115*v - 5*z = -30. What is the closest to 2 in v, d, 1? 1 Let b(y) = 75*y + 134. Let g be b(-2). Let l(t) = 12*t + 196. Let f be l(g). Let m = -1 - -1. What is the nearest to -2 in f, m, 3? m Let n = 199.89 - 199.69. Let x = 40/13 + -306/91. Which is the closest to x? (a) 2 (b) 0.5 (c) -0.45 (d) n c Let q be (-132)/(-165) + (0 - (-36)/(-70)). What is the nearest to -3/2 in 1/2, 3, q, 0? 0 Let y = -1.8739 - 0.1261. Which is the closest to y? (a) -4/7 (b) 1/4 (c) 0 (d) 41 a Let d = 18114 + -18995. Which is the nearest to 3? (a) 6/11 (b) -0.3 (c) d a Let l = -581 + 577. Which is the closest to l? (a) 2/27 (b) -0.5 (c) 2/9 b Let a = -1.89 - -39.89. Let g = 37.494 - -0.106. Let h = a - g. What is the closest to -3/4 in 1/2, -5, h? h Let w = 0.11 + 0.97. Let y = 2.607 - 5.687. Let q = w + y. What is the closest to 0.1 in -1/4, 4, q? -1/4 Let n = -0.5 + 0.3. Let s = 6 - 4. Let g be 2*(-36)/3*8/(-64). Which is the nearest to s? (a) n (b) 0.2 (c) g c Let h = 411 + -363.4. Let y = h + -48.1. Which is the nearest to 2/9? (a) 1 (b) -2/13 (c) y b Suppose -25*y - 11*y + 144 = 0. Let h = 0.11 - 0.25. Let m = h + 0.24. Which is the closest to -2/5? (a) m (b) -1 (c) y a Let n = 7262.1 + -7262. Which is the nearest to 0.08? (a) 0.3 (b) -1 (c) 3 (d) n d Let o = 9132 - 9133. Which is the closest to o? (a) -1/7 (b) -4 (c) 0.2 (d) -14 a Let i be 12/(-27) - ((14 - 13) + 6725/(-4662)). What is the nearest to i in 1, 0.3, 0.2? 0.2 Let o = 1561 + -1550.74. Let u = -11.26 + o. Let m = -0.01 + -1.99. Which is the closest to u? (a) m (b) 1/4 (c) -1 c Let p = 0 - 0.1. Let g = 126 - 127. Let v = 0.0421 - -0.0579. What is the closest to v in -3, g, p? p Let t be 162/39 + (-2)/13. Let w = 93.8 + -98. Which is the nearest to -2/7? (a) t (b) w (c) 0.4 c Let y(f) = -6*f + 17. Let h be y(6). Let n(q) = 4*q + 83. Let m be n(h). What is the closest to 2/17 in m, -5, -3? -3 Suppose 4*w + 2*m - 26 = 0, 5*w + 0*w - 13 = 4*m. Let f be ((-2)/8)/(4 - w). What is the closest to 0.1 in f, 40, -4? f Let y = -3 + 6. Let i = -83547.5 + 83547. Let r be (-17)/35 - 4/(-14). What is the nearest to y in i, -5, r? r Let l be (15/6 + -1)/(3/8). Let z = -21.46 + 0.46. Let q = -24 - z. Which is the nearest to 1? (a) q (b) l (c) 2/13 c Let f = -22/17 + 120/119. Let m = -35.02 - -35.42. What is the closest to 0 in -1, f, m, 2? f Let d be (621/46 + -15)/(-5 - (1 - 3)). Let h = -7 - -3. Let j = h + 3. Which is the nearest to d? (a) -3/2 (b) j (c) -3/5 c Let n = 3869 - 3869. Which is the nearest to n? (a) 26 (b) 0.4 (c) -7 b Let s = 14.79 + -2.09. Let d = s - 14.7. What is the nearest to -1 in 5, -0.5, d? -0.5 Let l = -52.1 + -306.9. Let z = l - -434.4. Let n = -75 + z. Which is the nearest to -1/4? (a) 22 (b) n (c) -2/3 c Let u be 16 + (-2)/(-6 + 96/18). Let r = -4.5 + 4. Let v = -0.5 + 0.4. Which is the nearest to v? (a) 0.5 (b) r (c) u b Let n = 4.12203 - 0.12203. Which is the nearest to -1? (a) n (b) 0.02 (c) 11 (d) -3 b Let s = 224/51 - 9805/2244. Let r = -0.5 + 0.5. What is the nearest to r in -3, 2, s? s Suppose -3*d + 7 - 1 = 0. Let x be (3/4 - d)*4 + 9. What is the nearest to 1 in 0.3, x, -0.4, -2/11? 0.3 Let t be (0 + 3/10)*2. Let p = 1/205 + -90203/615. Let y = p - -147. Which is the closest to y? (a) 2 (b) t (c) -4 b Let s = 0.3 - 1.3. Let y = 483.95 + -483.95. Which is the nearest to y? (a) -3 (b) 2/9 (c) s b Let p be 293118/(-1127) - (-4)/46. Let r be (-64)/p*-1 + 10/(-65). What is the nearest to 0.1 in 3, 2.6, r? r Let i = 211982 - 211980. Let j = -3 - -3.01. What is the nearest to -1/3 in j, -4, -5, i? j Let z = -320/147 - -16715/588. What is the nearest to -2/5 in 4.6, -1, z? -1 Let b = 320 + -319.938. Let n = -0.038 - b. Let c = 2.2 - 2. What is the nearest to n in 1/13, 2/5, c? 1/13 Let k = -431 - -431. Let x be -1 - (-17*(-2)/(-12) + 2). What is the nearest to 0 in k, x, -16? k Let l = 0.16 - -2.44. Let v = l - -1.4. Let m = 431 + -434. Which is the closest to -0.1? (a) v (b) -1 (c) m b Suppose -2*d - 3*p = 8, -2*p = 3*d - 7 - 1. Which is the closest to -1? (a) -101 (b) d (c) 5/6 c Let g = -34 - -39. Suppose -4*w = 3*v + 183, 126 = -4*w - 4*v - 62. Let m = -85/2 - w. What is the nearest to g in m, 0.5, 2? 2 Let h = -15 + 14.9. Let m be 3/2 - (-3)/(-2). Suppose 4*g - 8 = m, 3*t - 7 = -5*g + 6. What is the closest to t in h, -4, 4/5? 4/5 Let j = -0.3 + 0.1. Let w be 2*(-26)/(-60) + -25*(-58)/(-1450). Let p = 0.9 + -0.8. Which is the nearest to -0.1? (a) j (b) p (c) w c Let y = -14185 + 14189. Let j(q) = 18*q - 4. Let x be j(-7). Let c = -1432/11 - x. What is the closest to 0.2 in 0.3, c, y? 0.3 Let n(w) = -7*w**3 - 152*w**2 + 43*w - 25. Let s be n(-22). Which is the nearest to 1? (a) s (b) 2/9 (c) -1/4 (d) -18 b Let i be 57/(2565/330) + (-7)/1. Which is the nearest to 1? (a) i (b) 3 (c) 3/4 (d) -1/4 c Let q = -74 + 94. Let p(n) = n**2 - 25*n + 99. Let h be p(q). What is the nearest to h in -2/5, 1/4, -2/15? -2/5 Let j = 1924 - 1923. Which is the nearest to -2? (a) -4 (b) -2/39 (c) j b Let v = -4996/19983 - -1/79932. Let x = -8 + 7.7. Let u be 1 + -2 + 18/14. What is the nearest to v in u, -4, x? x Let j be ((-4)/34)/(((-24)/272)/3*4). Let z = 0.1 - 0.3. Which is the nearest to 1? (a) z (b) -4 (c) j c Let c = 4924/13 - 379. Let b = 4780.5 - 4780. What is the closest to -0.1 in b, c, -5/3? c Let l = -44 - -34. Let g(w) = -8*w**3 - w**2 + w + 1. Let y be g(-1). Suppose 18 - 4 = y*r. Which is the closest to r? (a) 1 (b) l (c) 0.3 a Let x(w) = -w**2 - 27*w + 57. Let z be x(2). Which is the closest to z? (a) -0.1 (b) 0.01 (c) -5/3 (d) 1/4 c Let l = 61 + -64. Let t = 79 + -157/2. Let j = -1.8 + 2. What is the nearest to t in -1, j, l? j Let k = -0.07 + -0.05. Let q = -78.7 + 139.8. Let x = -61 + q. Which is the closest to x? (a) k (b) 1 (c) 2/11 c Let y(g) = -272*g - 802. Let h be y(-3). Let z = -2.1 - -2. Let j = 15.5 - 16.5. Which is the nearest to z? (a) j (b) h (c) -1/5 c Let y = 26 - 11. Suppose 17*i - 6 = y*i. Let j = 10 - 10.3. Which is the closest to -0.1? (a) j (b) i (c) -3 a Let i = -980.81 + 986. Let j = i - 5.29. Let o = -0.9 - -0.5. Which is the closest to j? (a) -1/11 (b) o (c) 5 a Let v(f) = f**3 + 9*f**2 + 3. Let g be v(-9). Let b be (14 + (-180)/14)*(-2)/8. What is the nearest to 2/3 in 5, b, g? b Let o = 520.46 - 522. Let k = 1.74 + o. Let x = 1 - 0.9. Which is the nearest to -0.1? (a) k (b) -0.1 (c) x b Let h = 0 - -0.1. Let w = -796944 - -796946. What is the nearest to -2/3 in 0.12, h, w? h Let o = 0.09 + 17.91. Let v = 18 - o. Let y = 271.5 - 272. Which is the closest to v? (a) y (b) -4 (c) -2/11 c Let h = 210 - 119. Let b = 90.76 - h. Let q = b + 0.74. What is the closest to 0.07 in 4, q, 3? q Let u = -8249 - -8247.3. Which is the closest to 3? (a) u (b) 1 (c) -0.4 (d) 0 b Let c be (39/24)/13 - (2 + 3/(-2)). What is the nearest to -1 in -3, 3, -2/49, c? c Let s = -3.27318 + 0.27318. What is the nearest to -2 in 0.3, 5, s? s Let v = -0.49 + -4.51. Let p be (
{ "pile_set_name": "DM Mathematics" }
19 a factor of q? False Suppose -s + 33 = 9. Let t = s - -8. Does 32 divide t? True Let i be (-8)/6*(-642)/2. Suppose 4*k - z = i, 3*z = k - 5*k + 444. Suppose -v - k = -4*v. Is v a multiple of 12? True Suppose 4*l - 6 = 2*l. Suppose -2*i - 71 = -l*m, 20 = -5*m + 4*i + 141. Is 4 a factor of m? False Suppose -5*h + 3*h = -v - 1, -1 = 4*h - 3*v. Suppose 7*l = h*l. Suppose 4*b = -l*b + 144. Is b a multiple of 18? True Suppose -6*v + 2*v - 176 = 0. Let l = v + 101. Is l a multiple of 9? False Let r = -683 + 864. Is 78 a factor of r? False Let u(l) = 17 + 8*l + 2*l + l**2 - l + 3. Does 9 divide u(-10)? False Let k(n) = -45*n - 37. Let r(u) = 11*u + 9. Let f(d) = -6*k(d) - 26*r(d). Does 20 divide f(-12)? True Suppose 0*y - 8 = -y. Let n(x) = -x**3 + 9*x**2 - 4*x - 10. Is 11 a factor of n(y)? True Let n(p) = 6*p**3 + 8*p**2 - 18*p + 37. Is 13 a factor of n(5)? True Let p = -733 + 1039. Suppose 0*l = -3*l + 4*k + p, 5*k + 409 = 4*l. Suppose 5*o = -3*h + 200, 0 = -4*o + h + l + 37. Is 10 a factor of o? False Suppose -2*c + 7 = x, -2*x + 15 = 4*c + x. Suppose u + 5 = -5*i, -c*i + u = 2*u + 5. Suppose -t - 3*t = -3*b - 156, b - 4 = i. Is t a multiple of 21? True Let c(a) = 4*a**2 - 2*a - 4*a**2 + 2*a**2 + 6 - 3*a. Is c(4) a multiple of 6? True Suppose 0*d - 25 = -5*d. Suppose 3*f = -6, 0 = c + 3*c - f + 2. Does 10 divide (4*d)/(0 - c)? True Let l(r) = 2*r**2 - 4*r - 11. Let z be l(4). Suppose z*m = -5*f + 3*m + 298, -4*m = 3*f - 190. Is 10 a factor of f? False Suppose i - 5 = -2*b, -2*b + 7 = -b + 5*i. Suppose -y - 2 = -3*t + 39, 0 = -2*t - b*y + 38. Suppose 0 = l - t + 5. Does 4 divide l? False Suppose 10*f = 2643 + 1197. Is 8 a factor of f? True Let g be (-12 - 0)/(-4) + 198 + 1. Suppose 0*w = -2*f - 4*w + 96, 0 = 4*f - 2*w - g. Is 16 a factor of f? False Is 33 a factor of 0 + 410 - (-163 + 153)? False Let d(x) = 7*x + 7. Let y be d(-2). Let s(m) = m**2 + 8*m + 24. Does 14 divide s(y)? False Suppose 0*a + 18*a - 2970 = 0. Does 5 divide a? True Let k = 399 + -131. Let h = k + -115. Does 17 divide h? True Suppose 3*y = y + 626. Suppose 5*r = -5*l + y + 172, 4*r - 483 = -5*l. Suppose -5*u = -0*u - l. Is u a multiple of 6? False Let g(r) be the first derivative of 5*r**4/8 + r**3 + 3*r**2/2 - 12. Let m(a) be the second derivative of g(a). Is 22 a factor of m(5)? False Suppose -6 - 2 = 2*l. Let g = 14 + l. Does 3 divide g? False Let s(m) = m**2 + 12*m - 9. Let f be s(-13). Let t(z) = f*z + 2*z + 4*z - 4*z + 4 - z**2. Is t(5) a multiple of 9? True Let h(i) = 4 + i**2 - 2*i**2 - 12*i + 2. Let m be (7 + -6)*(1 - 0)*-10. Is 13 a factor of h(m)? True Suppose -10*m + 30*m - 3920 = 0. Is 49 a factor of m? True Let i = -62 + 59. Is 4 a factor of (-2)/i - (-4)/6*5? True Is 2 a factor of 1/(-6) - ((-117993)/(-18))/(-37)? False Let z = 678 - 337. Let t = z + -185. Is 20 a factor of t? False Suppose 5*s = 2794 + 1596. Does 18 divide s? False Let d(y) = -2*y**2 - 67*y + 84. Is 6 a factor of d(-24)? True Let p(l) = l**3 - 8*l**2 + 5*l - 3. Let i be p(7). Let c = i + 29. Suppose 0 = -5*s + 5*n + 60, 0 = -s - 0*n + 5*n + c. Does 8 divide s? False Let x = 2203 + -1592. Is x a multiple of 13? True Let j(p) = -p**2 - 14*p - 17. Let u be j(-13). Let o = 12 + u. Is 20 a factor of 82 - 1 - (-5 + o)? False Suppose -t = 3*f + 22, 0 = -f - 3*f - 5*t - 22. Let c(o) = -4*o + 2. Does 2 divide c(f)? True Suppose 0 = 4*i + 3*i - 28. Does 9 divide i*-3*(-195)/52? True Let h(n) = 22*n - 87. Is 5 a factor of h(16)? True Suppose 3*g = -2*k + 5328, 0 = 4*k + g - 10063 - 593. Is 12 a factor of k? True Let l = 120 + -62. Let f(w) = -w**3 - 7*w**2 - 7*w - 19. Let m be f(-5). Let q = l + m. Is 8 a factor of q? True Let o(t) be the third derivative of 0*t - 1/120*t**6 - 4/3*t**3 + 1/10*t**5 + 0 + 3/8*t**4 + 6*t**2. Is 6 a factor of o(7)? True Let b be (-9 - -4)/(5/18*-3). Let l be 1 + 1 - 2 - -4. Does 13 divide (l/b)/(16/936)? True Let u(z) be the third derivative of z**5/30 + z**4/2 + 8*z**3/3 + 5*z**2. Is 10 a factor of u(-7)? True Let w(c) = 37*c**3 + c**2 - 2*c + 1. Let v be w(1). Let t = 40 - v. Does 3 divide t? True Let q = -57 - -71. Is q even? True Suppose -18*l - 18095 = -25*l. Does 55 divide l? True Let k = 20 - 41. Suppose 0 = y + 5*n - 39, 2*n + 171 = 4*y - 29. Let t = k + y. Is t a multiple of 5? False Let p be (-3 - (-16)/6)*-54. Suppose -8*r + p = -2*r. Let d = r - -11. Is d a multiple of 14? True Suppose -4*k - 3*z + 191 = -3, z = 3*k - 152. Suppose 0 = 5*v + 355 - k. Let d = v - -85. Is d a multiple of 12? True Suppose 4*d + 8 + 6 = 2*h, 2*d = -4*h - 2. Does 3 divide (h - -5)*(-3 + (-14)/(-4))? True Suppose -5*c - 3*h = -322, -3*c - 5*h + 292 = 86. Suppose 0*s + c = s. Is s a multiple of 15? False Let m = 1579 - 1051. Does 20 divide m? False Suppose 16*z - 26 = 3*z. Suppose -4 = 2*l, 89 = u - 0*l - z*l. Is u a multiple of 5? True Suppose 0 = -2*l + m + 445, l - 5*l = -4*m - 884. Is 16 a factor of l? True Let q be (24/(-5))/(6/(-180)). Suppose 0 = -5*j + j + q. Does 4 divide j? True Let d(y) = -3 - 3 - 2*y + 3. Let q be d(-7). Let v = 28 - q. Does 12 divide v? False Let y(w) = w**3 - 4*w**2 + w - 13. Let l be y(5). Suppose -32 = l*k - 21*k. Does 4 divide k? True Suppose -5*j = 2*r - 10, -4*r - j + 26 = 6. Suppose -48 = r*n - 8*n. Is 8 a factor of n? True Suppose 0 = 529*r - 522*r - 4515. Is r a multiple of 5? True Is ((-12)/15 + 2)/((-141)/(-103400)) a multiple of 10? True Suppose d + 270 - 402 = 0. Is d a multiple of 34? False Suppose 0 = 7*b - 6*b - 9. Suppose 3*d = 4*l - 36, -5*l + d = -25 - b. Is 6 a factor of l? True Let f be 2/(-3) + (-40)/(-6). Let x = -18 + 26. Let v = x + f. Does 14 divide v? True Let a = 27 - 22. Suppose f - 3*f - 39 = a*h, -21 = 4*h + 5*f. Does 23 divide (-30)/h*162/15? False Let k(i) = i**3 - i**2 - 13*i + 7. Let g be k(5). Does 9 divide g/112 + 138/16? True Let p(z) = 57*z + 658. Does 11 divide p(21)? False Suppose 0 = -3*z - 3*z - 792. Let y = 186 + z. Is 9 a factor of y? True Let y = 97 + -93. Suppose -4*w - 6*k + 230 = -y*k, 3*k = -3*w + 174. Is w a multiple of 19? True Is 72/5*(-645)/(-86) a multiple of 3? True Let c = -33 - -9. Let j = c + 38. Does 14 divide j? True Let u = -4 - -9. Suppose -4*m - 16 = 0, -u*m = 2*q - 4*m + 14. Let f = 7 + q. Is f even? True Let m be (-1 - (-2)/(-8))*(4 + -8). Suppose -m*j + 192 = 17. Is j a multiple of 5? True Suppose 28*c - 8*c - 1900 = 0. Is c a multiple of 24? False Suppose 7*f - 634 = 1424. Is f a multiple of 21? True Suppose t + 4 + 1 = 0. Is 3 a factor of -6*t/(-10)*-2? True Let d(y) be the first derivative of -y**4/4 - 4*y**3/3 + 5*y**2/2 - 14*y + 4. Is 7 a factor of d(-6)? True Does 28 divide (-51667)/(-121)*1*2? False Let f = -553 + 1437. Does 101 divide f? False Suppose -5 = -g - 3*s - 2*s, 5*s = 2*g - 10. Suppose -2*x + 5*v - 500 = -3*x, 0 = g*v + 20. Suppose 7*i - 2*i = x. Is i a multiple of 23? False Let u(a) = 3*a - 4 - a - 5*a - 4*a**2 - 9*a**3. Let v be u(-4). Suppose 4*t = -b + 2*t + 112, v = 5*b + 2*t. Is 32 a factor of b? False Let r = -25 + 4. Let k = 111 + r. Is k a multiple of 10? True Let c(o) be the first derivative of -7*o**2/2 + 4*o - 53. Suppose -42 = 5*v - 2. Does 23 divide c(v)? False Let o = 0 + -1. Let m(w) = -w**2 + 12*w - 16. Let c be m(9). Is 9 a factor of c - (-3)/o - -1? True Suppose 4*n + g + 3*g - 152 = 0, 4*g + 86 = 3*n. Suppose u - 2 = -z, 5*z = u + 4 + 12. Suppose 0 = -4*r + w + z*w + 124, -r = -4*w - n. Does 10 divide r? True Let o = 19 - 23. Let c(y) = -2*y**3 - 8*y**2 - 9*y - 2. Is 34 a factor of c(o)? True Let y(q) = -q**3 + 12*q**2 - q - 9. Let n be y(12). Let t = n + 252. Is 33 a factor of t? True Let z(r) = -3*r + 20. Let x be z(6). Suppose -2*f + 5*o + 3 = 9, x = 5*f - 4*o. Is (-38)/1*(-3)/f a multiple of 19? True Suppose 3*j + 106 = -5*m, -j - 4*m = j + 68. Let w be 6/j + (-40)/14. Does 17 divide 54 + w + -1 + -3? False Let a be (-3 - 599)/((-2)/1). Suppose 266 = -0*c + 4*c - 2*o, 0 = 4*c + 5*o - a. Is c a multiple of 17? False Let g = -214 + 302. Let i = 83 + g. Is i a multiple of 19? True Let p(l) = -3*l**2 + 10*l - 7. Let f(z) = z**2 - 5*z + 4. Let h be (-1)/(3/(-2) - -1). Let c(n) = h*p(n) + 5*f(n). Is 3 a factor of c(-5)? True Suppose 0 = 2*v - 4*n - 14, 2 = -n - 0*n. Suppose 0 = 4*q - 5*o - 423, 41 = q - v*o - 70. Does 12 divide q? False Let a = -132 -
{ "pile_set_name": "DM Mathematics" }
nd 308.9. 310.413 -3.69+0.06 -3.63 Work out -583.52 + -0.2. -583.72 Add together 110 and -126. -16 What is -3 + -1645.62? -1648.62 -768.1 + 171 -597.1 Calculate -137.6 - -0.46. -137.14 What is -267.5 - -1017? 749.5 Calculate -0.5 - -0.1227439. -0.3772561 What is -0.0525 plus 59? 58.9475 Calculate 1 - -0.6448. 1.6448 What is 299.49 less than -2? -301.49 Put together -0.192 and 65. 64.808 -0.167 - -0.28093 0.11393 What is 2918 + 0? 2918 What is -13314.862 plus 0.4? -13314.462 Work out -5 + -105. -110 -57+678 621 What is the difference between 0.436 and 0.0097? 0.4263 Calculate -0.13 - 49442. -49442.13 Total of -21.966 and 0.2. -21.766 What is the distance between 20402 and 0.082? 20401.918 2+492185 492187 Put together 0.943 and -2. -1.057 Total of 0.4 and 0.01198. 0.41198 What is -220 take away -0.00215? -219.99785 16 + -29426 -29410 Total of -1.303 and -0.1332. -1.4362 What is -2.24232 + 0.4? -1.84232 Total of 4689 and -0.098. 4688.902 Sum 4 and 141.8. 145.8 -56271 - 13 -56284 Add -173494 and -0.1. -173494.1 What is the distance between -58 and -9.97? 48.03 Sum 6823 and 60.3. 6883.3 What is 13.82 + -0.188? 13.632 Work out 3832 + -0.5. 3831.5 What is the difference between -64 and 9.2? 73.2 Put together -0.3 and 624. 623.7 Put together -481080.3 and 4. -481076.3 2 + 0.059 2.059 What is -0.2 minus 309? -309.2 Calculate -75 - -4140. 4065 -2 + -23.47 -25.47 What is the difference between -0.1 and -82592? 82591.9 What is the distance between -0.2 and 174.83? 175.03 What is -0.036 plus 332.8? 332.764 Calculate 40.419 - 18. 22.419 Work out 55 - -61. 116 Work out -363.5 - -0.06. -363.44 What is 0.9 take away -0.1? 1 Work out -0.00653 + -0.02. -0.02653 0.0751 - -49 49.0751 Add together 0.2 and -56878. -56877.8 What is 9754 less than 0.073? -9753.927 Subtract 0.3 from -8478806. -8478806.3 -0.5 + 14.7553 14.2553 Work out -0.19567 - -0.4. 0.20433 Work out -104.1 - -53. -51.1 -160198 - 0.5 -160198.5 -0.2+-0.353 -0.553 What is -5.504 - -34? 28.496 Subtract 737 from 5. -732 What is 0.2 - 5427? -5426.8 5409.66 + 6 5415.66 What is the difference between 11651225 and -4? 11651229 Calculate 90 + -0.5. 89.5 Add 0.3 and -0.14734. 0.15266 Put together 5 and -150426. -150421 What is -0.8 minus -7147.2? 7146.4 Subtract -8.403 from 0.3. 8.703 What is -0.4 take away -1632419? 1632418.6 What is 1.1 take away 500? -498.9 94.44 + -0.1 94.34 What is -5 + -151? -156 What is -4 plus -42765? -42769 What is 0.1 - -0.0096? 0.1096 0.38+46788 46788.38 0.386 + 0.074 0.46 What is -0.3 minus 0.2063? -0.5063 What is -457 take away -0.2? -456.8 What is the difference between -0.279 and 0.4? 0.679 Work out 6569 - -3. 6572 Sum 2234 and 1. 2235 What is -2 take away 81084? -81086 What is the distance between 0.8 and 0.764? 0.036 16+-742 -726 Work out 136.4 + -176. -39.6 -172 - 0.03 -172.03 Add together -18168 and -0.3. -18168.3 -2 - 9.61921 -11.61921 What is -43.95 plus 8? -35.95 Add together -1100.5 and -2. -1102.5 Work out 70 - -2.3736. 72.3736 What is -1.295 - 4? -5.295 Calculate 0.0786 + 0. 0.0786 What is -2812 - 0.1182? -2812.1182 -470 + -5.4 -475.4 -578.2+0.3 -577.9 Work out 7 + 9.8. 16.8 Subtract -0.3 from 47368. 47368.3 Subtract -37.71 from -747. -709.29 4.4 - 963 -958.6 What is -0.00128 plus -0.5? -0.50128 0.1 + -2663 -2662.9 Put together 523 and 0.2. 523.2 What is -0.3 take away -6.69? 6.39 What is 871 less than 0? -871 What is the distance between 0.5 and -1339? 1339.5 Add -61388 and 0.1. -61387.9 What is 0.1 take away 6232? -6231.9 What is 4.31 take away 12? -7.69 Work out 0.18 + -896. -895.82 What is 2408 + 0.1? 2408.1 Add together -4 and -310785. -310789 Add together 5.97 and 1. 6.97 Subtract -1107 from -1268. -161 What is 1 minus 49107? -49106 233622+2 233624 Sum 14961949 and 0. 14961949 Work out 10106 + -0.8. 10105.2 What is 247 less than 9.9? -237.1 What is -0.5 minus 7873? -7873.5 What is the distance between 15 and 6? 9 Add together 1 and 473. 474 Calculate 1722 - 149. 1573 Add -500.2822 and 5. -495.2822 What is 0.233 take away -60.9? 61.133 Add -0.0379 and 0.042. 0.0041 Calculate 3335629 - 4. 3335625 0.5 - -501.4 501.9 What is -1 - -295? 294 -0.46672+-0.8 -1.26672 Sum -478.1 and -0.4. -478.5 Total of -0.4 and 451. 450.6 What is -106.17 + -0.11? -106.28 What is the difference between 0.01 and -0.193911? 0.203911 4 + -202321 -202317 What is -0.1517 - 0.7? -0.8517 Calculate -0.05 + 2.1. 2.05 Calculate 0.09 + -0.061. 0.029 0.047 - 6207 -6206.953 What is 2.8 + 129? 131.8 What is 0.85 minus -1? 1.85 What is 4280 - 0.4? 4279.6 Add together -0.4 and 235. 234.6 Add 0.4 and 1635449. 1635449.4 Work out -4165 + 0.2. -4164.8 What is the distance between -206 and -0.4568? 205.5432 Add -0.028 and 0.26. 0.232 Work out 68 - 241.8. -173.8 Work out 15.06 + 3. 18.06 Calculate 642 - -361. 1003 What is 868.28 take away 9? 859.28 What is -77.61 take away -0.5? -77.11 What is -0.052738 + 1? 0.947262 Add -0.3 and -1195. -1195.3 Calculate -1086.033 + 0.5. -1085.533 Subtract -59.3 from 269. 328.3 What is -50664.1 less than 0.4? 50664.5 What is 13587 - -0.4? 13587.4 What is -1670 plus 2? -1668 -26.5+0.02 -26.48 Work out -0.24 - 159. -159.24 Add -558 and -585. -1143 Calculate -3837.7 - 0.3. -3838 Add 0.92 and -42281. -42280.08 Sum -604965 and 3. -604962 Subtract 17491 from 0.2. -17490.8 Subtract 0.1185 from -8. -8.1185 Calculate 0.325 + -3. -2.675 What is -0.00199 - 3? -3.00199 Work out -0.93 - 37. -37.93 What is 0.3 less than 2336? 2335.7 -1547162 - 0.3 -1547162.3 What is 0.0082 plus -0.881? -0.8728 Add 5 and 46225. 46230 What is -4 less than -8687230? -8687226 Add 0.0729 and 0.64. 0.7129 Total of 51 and 1.8. 52.8 Total of 6010 and -0.2. 6009.8 Calculate 1867 - -4. 1871 What is 0.8 minus 105? -104.2 Total of 2.9068 and 5. 7.9068 Sum -8 and 17.4703. 9.4703 What is -2 minus -242.1? 240.1 Work out -21624 + 28. -21596 Add together -469394 and -3. -469397 Calculate -1 + 0.242. -0.758 Work out -4 + 173.94. 169.94 What is -0.08 take away -21148? 21147.92 What is -16.404 take away -0.035? -16.369 Work out 0.4 + -662. -661.6 Put together -0.073 and -0.21. -0.283 What is -2105 plus 0.4? -2104.6 -199.964+22 -177.964 Put together -571 and 8517. 7946 Work out -0.5 + -0.1271. -0.6271 What is 4 take away 1.2095? 2.7905 What is -5 take away -0.533? -4.467 What is 0.157 plus -56? -55.843 285 + -39 246 Work out 629 + -3.89. 625.11 Put together 46462 and 0.11. 46462.11 What is -11.3 minus 2304.3? -2315.6 Sum -0.4 and 2468558. 2468557.6 Subtract -11 from 23422.8. 23433.8 What is 13 minus -0.54? 13.54 Add 0 and -7674. -7674 What is -3.043 plus -0.2? -3.243 Sum 68 and 0.41. 68.41 What is 1.10439 - 5.4? -4.29561 Calculate -3 - 57.7. -60.7 Add together 0.03 and 1.4376. 1.4676 Work out 147477 + -0.4. 147476.6 Calculate 1.8 - -784. 785.8 What is -2.01386 take away -0.1? -1.91386 Add 314 and -33.311. 280.689 -2+-20.406 -22.406 What is -0.249 - -0.4? 0.151 What is the distance between 968 and 157? 811 Total of -0.5 and 279399. 279398.5 0.2024 + 5 5.2024 Put together -0.1 and 0.04. -0.06 Calculate 1.262494 + -3. -1.737506 Subtract -1058 from -1321. -263 Add together 191 and -0.2. 190.8 What is -0.315 + -19751? -19751.315 What is -0.5 take away 3899.3? -3899.8 What is -41.7 plus 4? -37.7 Calculate -2730 - -0.059. -2729.941 Subtract -0.179 from 0.2. 0.379 What is 0.237 minus -2.77? 3.007 Work out 12345 + 3. 12348 -0.1393 - 0.16 -0.2993 Calculate 0.1 - 879494. -879493.9 Work out -0.92 - -0.02067. -0.89933 What is -1.52 plus 0.198? -1.322 What is 0.01 minus -213? 213.01 Put together 4 and -215. -211 Put together -39134 and 0.2. -39133.8 What is -442040 minus -6? -442034 What is 0.069 - 7602.9? -7602.831 119 + 9431 9550 What is 20 + 952? 972 Subtract 827421 from -0.3. -827421.3 What is 11564.4 plus 1? 11565.4 What is -0.16 less than -64.6? -64.44 What is -212.111 less than 1? 213.111 Work out 244918.7 - -0.1. 244918.8 What is 415.41 - -0.12? 415.53 Calculate -18.814 - 36. -54.814 What is 0 minus -347? 347 Add together -5 and -20. -25 What is -5271 minus -4.5? -5266.5 Put together -149 and -5. -154 4286.3 + 66 4352.3 What is -4906620 - -3? -4906617 What is 0.14 take away -715.49? 715.63 Subtract 18.3 from 19.7. 1.4 What is 246.4 minus -2? 248.4 What is -2 take away 0.545? -2.545 What is 3934 plus -6? 3928 Add 3573 and 0.084. 3
{ "pile_set_name": "DM Mathematics" }
r when 2403 is divided by 298. 19 Calculate the remainder when 457 is divided by 205. 47 What is the remainder when 8061 is divided by 148? 69 What is the remainder when 21593 is divided by 60? 53 What is the remainder when 8717 is divided by 40? 37 What is the remainder when 1222 is divided by 156? 130 Calculate the remainder when 84412 is divided by 3012. 76 What is the remainder when 9658 is divided by 59? 41 What is the remainder when 36426 is divided by 33? 27 What is the remainder when 48298 is divided by 65? 3 What is the remainder when 5248 is divided by 77? 12 Calculate the remainder when 1292 is divided by 459. 374 What is the remainder when 2046 is divided by 69? 45 Calculate the remainder when 14047 is divided by 593. 408 Calculate the remainder when 284078 is divided by 1833. 1796 What is the remainder when 3622 is divided by 250? 122 Calculate the remainder when 1683 is divided by 1170. 513 What is the remainder when 116143 is divided by 7? 6 Calculate the remainder when 31739 is divided by 345. 344 What is the remainder when 167151 is divided by 55713? 12 Calculate the remainder when 541617 is divided by 36. 33 Calculate the remainder when 105593 is divided by 26. 7 What is the remainder when 35595 is divided by 352? 43 Calculate the remainder when 205211 is divided by 746. 61 Calculate the remainder when 6065 is divided by 1504. 49 Calculate the remainder when 250962 is divided by 135. 132 What is the remainder when 11776 is divided by 318? 10 What is the remainder when 987686 is divided by 329228? 2 Calculate the remainder when 40996 is divided by 200. 196 Calculate the remainder when 287921 is divided by 364. 361 What is the remainder when 6203 is divided by 38? 9 What is the remainder when 87531 is divided by 7957? 4 What is the remainder when 895 is divided by 15? 10 Calculate the remainder when 37464 is divided by 721. 693 What is the remainder when 6113 is divided by 380? 33 Calculate the remainder when 41336 is divided by 130. 126 Calculate the remainder when 10790 is divided by 51. 29 Calculate the remainder when 4441 is divided by 11. 8 What is the remainder when 12753 is divided by 5911? 931 What is the remainder when 1773184 is divided by 118? 116 What is the remainder when 715200 is divided by 12122? 2 Calculate the remainder when 93156 is divided by 17. 13 Calculate the remainder when 245418 is divided by 1741. 1678 Calculate the remainder when 11693 is divided by 887. 162 Calculate the remainder when 3881 is divided by 228. 5 Calculate the remainder when 1065168 is divided by 3436. 8 Calculate the remainder when 19582 is divided by 595. 542 What is the remainder when 667717 is divided by 8? 5 What is the remainder when 621031 is divided by 277? 274 Calculate the remainder when 41141 is divided by 10218. 269 Calculate the remainder when 2370 is divided by 61. 52 What is the remainder when 2623 is divided by 98? 75 What is the remainder when 333644 is divided by 13900? 44 What is the remainder when 250353 is divided by 108? 9 What is the remainder when 3831 is divided by 139? 78 What is the remainder when 69460 is divided by 52? 40 Calculate the remainder when 1011541 is divided by 14. 13 Calculate the remainder when 16293 is divided by 7950. 393 What is the remainder when 1499 is divided by 24? 11 Calculate the remainder when 106122 is divided by 52. 42 Calculate the remainder when 252220 is divided by 50428. 80 Calculate the remainder when 654853 is divided by 327426. 1 What is the remainder when 12280 is divided by 135? 130 What is the remainder when 19877 is divided by 6521? 314 What is the remainder when 72929 is divided by 72887? 42 Calculate the remainder when 5422 is divided by 47. 17 What is the remainder when 56496 is divided by 7062? 0 What is the remainder when 6800 is divided by 30? 20 Calculate the remainder when 157599 is divided by 4924. 31 Calculate the remainder when 71776 is divided by 14. 12 What is the remainder when 5201 is divided by 34? 33 What is the remainder when 117938 is divided by 31? 14 What is the remainder when 106861 is divided by 14? 13 Calculate the remainder when 11759 is divided by 2334. 89 Calculate the remainder when 6372 is divided by 1813. 933 Calculate the remainder when 5884 is divided by 245. 4 Calculate the remainder when 313253 is divided by 52207. 11 What is the remainder when 7937 is divided by 3961? 15 Calculate the remainder when 2475450 is divided by 7760. 10 Calculate the remainder when 8173 is divided by 41. 14 Calculate the remainder when 56957 is divided by 1212. 1205 What is the remainder when 724671 is divided by 8? 7 Calculate the remainder when 323 is divided by 204. 119 Calculate the remainder when 8517 is divided by 232. 165 Calculate the remainder when 3182 is divided by 292. 262 Calculate the remainder when 4697 is divided by 243. 80 Calculate the remainder when 12100 is divided by 928. 36 What is the remainder when 13541 is divided by 13497? 44 What is the remainder when 96639 is divided by 22? 15 What is the remainder when 115542 is divided by 346? 324 Calculate the remainder when 77138 is divided by 129. 125 What is the remainder when 14877 is divided by 383? 323 What is the remainder when 38915 is divided by 22? 19 What is the remainder when 45354 is divided by 45337? 17 Calculate the remainder when 114795 is divided by 57396. 3 Calculate the remainder when 3530 is divided by 61. 53 Calculate the remainder when 492394 is divided by 195. 19 Calculate the remainder when 1807463 is divided by 181. 178 Calculate the remainder when 4091892 is divided by 13. 12 Calculate the remainder when 16468 is divided by 142. 138 What is the remainder when 6664 is divided by 1663? 12 Calculate the remainder when 1263 is divided by 1094. 169 Calculate the remainder when 851888 is divided by 373. 329 What is the remainder when 4044 is divided by 188? 96 Calculate the remainder when 3988353 is divided by 35. 33 What is the remainder when 18099 is divided by 50? 49 What is the remainder when 400063 is divided by 133? 132 Calculate the remainder when 93373 is divided by 93371. 2 What is the remainder when 17376 is divided by 774? 348 What is the remainder when 160539 is divided by 163? 147 What is the remainder when 454 is divided by 280? 174 What is the remainder when 215615 is divided by 6735? 95 Calculate the remainder when 456609 is divided by 103. 10 What is the remainder when 4194 is divided by 464? 18 What is the remainder when 27856 is divided by 36? 28 Calculate the remainder when 175323 is divided by 25. 23 What is the remainder when 2154 is divided by 9? 3 Calculate the remainder when 3560 is divided by 349. 70 Calculate the remainder when 6801 is divided by 755. 6 Calculate the remainder when 2365 is divided by 213. 22 Calculate the remainder when 19760 is divided by 272. 176 What is the remainder when 4904 is divided by 535? 89 What is the remainder when 84509 is divided by 32? 29 Calculate the remainder when 45997 is divided by 92. 89 What is the remainder when 1434 is divided by 300? 234 What is the remainder when 595535 is divided by 207? 203 What is the remainder when 17409 is divided by 5803? 0 What is the remainder when 18407 is divided by 18? 11 What is the remainder when 7166 is divided by 211? 203 Calculate the remainder when 7223 is divided by 1532. 1095 What is the remainder when 2178 is divided by 2176? 2 Calculate the remainder when 514789 is divided by 82. 75 Calculate the remainder when 88444 is divided by 22. 4 Calculate the remainder when 556994 is divided by 278474. 46 What is the remainder when 2625 is divided by 110? 95 Calculate the remainder when 1224724 is divided by 202. 200 What is the remainder when 8044 is divided by 362? 80 Calculate the remainder when 2520 is divided by 2458. 62 What is the remainder when 1522432 is divided by 10? 2 Calculate the remainder when 469947 is divided by 482. 479 What is the remainder when 6027 is divided by 1502? 19 Calculate the remainder when 913086 is divided by 179. 7 What is the remainder when 628321 is divided by 528? 1 What is the remainder when 1818 is divided by 35? 33 Calculate the remainder when 21876 is divided by 30. 6 What is the remainder when 64928 is divided by 151? 149 What is th
{ "pile_set_name": "DM Mathematics" }
t(13)*1)**2. -624 + 4*sqrt(13) Simplify (5 + (sqrt(1100) - (sqrt(1100) + sqrt(1100)*2 + -5 + sqrt(1100)) - (sqrt(1100) - -1*sqrt(1100))*-3 - (4 + -1 + sqrt(1100) + 1 + sqrt(1100))))**2. 120*sqrt(11) + 1136 Simplify 1*(1*2*sqrt(200) - (-3 + sqrt(200) + 0))**2. 60*sqrt(2) + 209 Simplify (sqrt(4000)*1)/sqrt(8) + (sqrt(320))**2*2 + -2 + 3. 10*sqrt(5) + 641 Simplify (sqrt(63) + -2*sqrt(252))/(-1*sqrt(9)*-3) + 1. -sqrt(7) + 1 Simplify ((sqrt(396) - (sqrt(396) + 0)) + 2 + 2 - (((sqrt(396) - (sqrt(396) + sqrt(396)*-1)) + 3)**2 + -2)) + 5. -394 - 36*sqrt(11) Simplify (sqrt(6)/sqrt(3) + -4 - sqrt(2)) + (sqrt(90)/sqrt(5))**2 - (sqrt(200) + 0 - -3*sqrt(2)*-4). 2*sqrt(2) + 14 Simplify ((2*sqrt(2400)*3)/(sqrt(88)/(sqrt(11) - (4*sqrt(11) - sqrt(11)))*-5))**2. 1728 Simplify -4*(-1*sqrt(3)*2 + 3*sqrt(24)/sqrt(8))**2. -12 Simplify -6*(sqrt(38)/sqrt(2) + -3) + 4*sqrt(475)*2. 18 + 34*sqrt(19) Simplify -2 + -3 + (-1*(-2 + sqrt(637)))**2*5. -140*sqrt(13) + 3200 Simplify -4 + ((sqrt(180) + (sqrt(180) - (sqrt(180) + -1 + sqrt(180))) + sqrt(180) + sqrt(180))*5)**2*6. 3600*sqrt(5) + 108146 Simplify (-2*sqrt(33)*2 + sqrt(33) + (1*sqrt(132) - sqrt(132) - sqrt(132)))/(6*sqrt(121)/(sqrt(11) + (sqrt(11) - sqrt(77)/sqrt(7)))). -5*sqrt(3)/6 Simplify (-5*(-1 + sqrt(80)))**2 + 3 - (sqrt(20)/(sqrt(4) - sqrt(4)*2) - ((sqrt(245)/sqrt(7))/sqrt(7))**2). -199*sqrt(5) + 2033 Simplify (-6*sqrt(1300)*-2 + sqrt(1300))/(((sqrt(8) - sqrt(24)/(sqrt(3)*-1)) + sqrt(8))/sqrt(2)). 65*sqrt(13)/3 Simplify (sqrt(51) + sqrt(357)/(sqrt(7) - (sqrt(343) + sqrt(7) - sqrt(7)) - sqrt(7)) + sqrt(51))/(3*sqrt(243)). 13*sqrt(17)/189 Simplify sqrt(832) - -4*4*sqrt(832) - sqrt(832) - (1 + sqrt(832)*-2). -1 + 144*sqrt(13) Simplify -2 + (sqrt(180) - (-2 + (-3*sqrt(180))**2))*-3. -18*sqrt(5) + 4852 Simplify (sqrt(120)/((sqrt(48)/sqrt(3))/sqrt(2)))/(-1*sqrt(80)/sqrt(4)). -sqrt(3)/2 Simplify 3 + 0 + (sqrt(2) - sqrt(4)/sqrt(98) - (sqrt(4)/sqrt(2) + 1))*6. -3 - 6*sqrt(2)/7 Simplify (1*((sqrt(91) - (sqrt(91)*-3 - sqrt(91))) + sqrt(91)) - sqrt(91))/((sqrt(378)/sqrt(9))/sqrt(6)). 5*sqrt(13) Simplify (-5 + 5*((6*sqrt(2448)*2 + sqrt(2448) - sqrt(2448)) + 1*sqrt(2448)*-5))**2. -4200*sqrt(17) + 2998825 Simplify (-2 + (sqrt(2736) - -5*(0 + sqrt(2736))) + (sqrt(2736) - (1*(2 + sqrt(2736) + sqrt(2736) + sqrt(2736)) + sqrt(2736))))**2. -288*sqrt(19) + 24640 Simplify (sqrt(7) + sqrt(7)*-2 + -1)*1 + -2 - (-2 + sqrt(7)*-1*-5 + (1*sqrt(42))/sqrt(6)). -7*sqrt(7) - 1 Simplify (-1*-2*sqrt(468)*5 - (sqrt(468)*2 + 3 - (sqrt(468) + -1 + sqrt(468) + 5)))**2 + 5. 120*sqrt(13) + 46806 Simplify (4*sqrt(14)*-4)/((2*sqrt(6) + sqrt(6))/sqrt(3)) + 0. -16*sqrt(7)/3 Simplify (sqrt(100)/(sqrt(4)/sqrt(2)) - sqrt(1250)*-2)/(sqrt(160)*2 + sqrt(120)/sqrt(192)). 4*sqrt(5)/3 Simplify ((-2 + sqrt(68))*-3 - -1*sqrt(68)*4)*-3. -6*sqrt(17) - 18 Simplify ((2*sqrt(132)*-1 - sqrt(132)) + sqrt(132) + sqrt(132) + sqrt(132)*2*5)/(sqrt(144)/((sqrt(120)*4 + sqrt(120))/sqrt(10))). 45*sqrt(11) Simplify (-4 + 0 + sqrt(1053) + 0 + sqrt(1053) + 0 + 0)**2. -144*sqrt(13) + 4228 Simplify 6*((sqrt(180) + -2*sqrt(180)*-1)/sqrt(12))/(sqrt(36)/(-1*sqrt(1452))). -198*sqrt(5) Simplify (0 + (sqrt(38)/(-1*sqrt(242)) - (0 + (sqrt(171)/sqrt(3))/sqrt(3))) + -4)**2. 96*sqrt(19)/11 + 4672/121 Simplify (-2*sqrt(1584) + (sqrt(11) - ((sqrt(11) - sqrt(22)/(2*sqrt(2) + sqrt(2))) + sqrt(11))))**2 - (sqrt(704) - -3*(-1 + sqrt(704)))*3. -96*sqrt(11) + 60317/9 Simplify ((sqrt(480)*2 + sqrt(480) + sqrt(480) - sqrt(480))*3)/(sqrt(1440)*2 + sqrt(1440) + sqrt(10)). 36*sqrt(3)/37 Simplify (sqrt(204) + sqrt(204)*-1)/sqrt(12) + 0 + -6*(sqrt(17) + 0 + -1). -6*sqrt(17) + 6 Simplify 3*(sqrt(180) + (sqrt(180) - ((0 + (sqrt(180) - (sqrt(180)*-3 + sqrt(180))))**2 + sqrt(180)))) + (sqrt(180) + 3*sqrt(180) + sqrt(180))**2*-6*-5. 18*sqrt(5) + 130140 Simplify (sqrt(60)/sqrt(3) - sqrt(30)/(sqrt(24) + sqrt(6)) - (-4 + (sqrt(5) + 3 + sqrt(5))*1))**2. -2*sqrt(5)/3 + 14/9 Simplify -3*(5 + (1*sqrt(63) - (-1 + -2*sqrt(7)))). -15*sqrt(7) - 18 Simplify (4*(sqrt(325) + 0) + 0 - (-3*-1*sqrt(325) - (-2 + -1 + sqrt(325))))**2. -60*sqrt(13) + 1309 Simplify (-2 + (sqrt(1008) + 2 - sqrt(1008)))**2 + 2 + (sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 3)))**2. -72*sqrt(7) + 1019 Simplify 1 + (4*(sqrt(528) + sqrt(528)*1))/(-2*sqrt(1331) + sqrt(11))*-4. 1 + 128*sqrt(3)/21 Simplify -4 + 6*(sqrt(539) - (sqrt(539) + sqrt(539) + ((sqrt(539) - (0 + sqrt(539))) + sqrt(539))**2 + sqrt(539) + sqrt(539)))*2. -6472 - 252*sqrt(11) Simplify (0 + (-3 + sqrt(128)*1)**2)*5. -240*sqrt(2) + 685 Simplify (-3*sqrt(891)*-2 - (-1 + sqrt(891)*-6 + sqrt(891))**2) + -2. -22278 - 36*sqrt(11) Simplify (5*-4*(sqrt(152) + sqrt(152)*1))/(sqrt(648) - (sqrt(648) + (sqrt(648) - sqrt(648)*2) + sqrt(648)) - sqrt(648) - sqrt(16)/sqrt(2)*-3). 20*sqrt(19)/3 Simplify -1*((sqrt(325) + 4)**2 - sqrt(325)) - sqrt(104)/(sqrt(32)*1). -341 - 71*sqrt(13)/2 Simplify (sqrt(88) + sqrt(88)*1*-6)/(sqrt(8) + sqrt(8) + (3*sqrt(72))/sqrt(9)). -sqrt(11) Simplify (1 + -5 + -4 + sqrt(176) - (sqrt(176) - sqrt(176)*4)*1*1)**2. -256*sqrt(11) + 2880 Simplify (-4 + (1*sqrt(448))/(sqrt(4) - 6*(sqrt(4) + sqrt(12)/sqrt(3))))**2. 32*sqrt(7)/11 + 2048/121 Simplify ((sqrt(12) - 2*sqrt(12))*2 - sqrt(84)/(sqrt(28)/sqrt(4)))/(-2*(2*sqrt(4) - sqrt(4))*-5). -3*sqrt(3)/10 Simplify (0 + -2*sqrt(12)/(sqrt(16)/sqrt(4))*-4 + -5)**2. -80*sqrt(3) + 217 Simplify ((sqrt(10) - sqrt(80)/sqrt(392))/(sqrt(245) + sqrt(245) + sqrt(245)*-3) + 0)**2. 72/2401 Simplify ((-4*(-2*sqrt(2700) - sqrt(2700)) - sqrt(2700))/((sqrt(324) + sqrt(324)*-2)*3))**2. 3025/27 Simplify (-3 + 2*sqrt(24)/(sqrt(48)*-2 - sqrt(48))*-4)**2. -8*sqrt(2) + 113/9 Simplify (-1*sqrt(896) + (sqrt(70) + 1*sqrt(70))/sqrt(5))/(sqrt(72)/sqrt(4) + sqrt(18) + sqrt(18) - (-1*sqrt(242) - sqrt(2))). -2*sqrt(7)/7 Simplify -3 + (1*(sqrt(17) + -1) + 1 + sqrt(68) - (4 + 2 + sqrt(153)))**2. 33 Simplify (sqrt(140) - 2*sqrt(140)*6)/(sqrt(63)*3 - sqrt(7))*2. -11*sqrt(5)/2 Simplify (-4 + -2*sqrt(432)*-5 + -5 + 3)**2. -1440*sqrt(3) + 43236 Simplify 1*((-4 + 0 + sqrt(612))**2 + 4 + 2*sqrt(833)). -34*sqrt(17) + 632 Simplify 6*5*(2 + (sqrt(684) + -1 - sqrt(684))*-2 + 2). 180 Simplify -2 + (((2*sqrt(243) - sqrt(243)) + -2 + 5)*5)**2. 1350*sqrt(3) + 6298 Simplify (2*sqrt(13)*-1 + (sqrt(13) - -3*sqrt(52)) + -2)**2. -20*sqrt(13) + 329 Simplify 3 + -2*2*sqrt(1377)*-1. 3 + 36*sqrt(17) Simplify (sqrt(11)*-1 + 1)*-2 - sqrt(539)*2*-3. -2 + 44*sqrt(11) Simplify ((5*-5*sqrt(176)*-5 + 2)*3)**2. 18000*sqrt(11) + 24750036 Simplify ((sqrt(468) - ((sqrt(468) + sqrt(468) + 0 + -4 + sqrt(468))**2 + sqrt(468))) + -3*sqrt(468)*-3)*-1. -198*sqrt(13) + 4228 Simplify (1*(sqrt(210)/sqrt(96))/(sqrt(7) - (sqrt(14) + sqrt(14)*1)/sqrt(2))*-4)**2. 5 Simplify (-1 + -6*(1 + sqrt(612))**2)*3 + 0. -11037 - 216*sqrt(17) Simplify (sqrt(864)*-2 - sqrt(864))/(sqrt(968)*-1). 18*sqrt(3)/11 Simplify ((sqrt(168) - ((sqrt(168) + sqrt(168)*-1)*3 + sqrt(168)))/sqrt(3))/(sqrt(288) + sqrt(288)*-2*-1) + 3. 3 Simplify ((sqrt(7)*-2)**2 + 3)*-3 - (2*sqrt(847) + -5)**2. -3506 + 220*sqrt(7) Simplify 0 + -1 + -5 + ((sqrt(8) - (-2*sqrt(72) - sqrt(72)) - sqrt(8))/(-3*sqrt(8)/sqrt(2)))**2. 12 Simplify ((3*sqrt(432)/sqrt(3))/((sqrt(8) - sqrt(40)/(sqrt(5)*-1)) + sqrt(128)*-1))**2. 81/2 Simplify (sqrt(468) - 1*sqrt(468)*1 - (0 + sqrt(468) + 3*sqrt(468)))**2 + 1. 7489 Simplify 1*(-3 + 1 + sqrt(288) + -5 + (sqrt(288) - (sqrt(288) + 0 + 0) - sqrt(288)) + 2)**2. 25 Simplify (sqrt(4114) - (sqrt(4114) + (sqrt(4114) - 3*sqrt(4114)*-6) + sqrt(4114)) - sqrt(4114))/(sqrt(242)*-3*6). 7*sqrt(17)/6 Simplify (sqrt(4) - (sqrt(144)*3 + sqrt(144)))/(sqrt(24)/(sqrt(12) + sqrt(12)*2)). -69*sqrt(2) Simplify ((sqrt(396) + 1 + 1)*2 - (sqrt(396) - 1*(0 + sqrt(396)) - (sqrt(396) + sqrt(396) + -1 + sqrt(396) + 5)))**2. 480*sqrt(11) + 9964 Simplify (-3*sqrt(108)/sqrt(6))/(sqrt(384)*1). -3*sqrt(3)/8 Simplify 0 + (sqrt(52)/sqrt(4) + -3 + 4)**2 + ((-3*(sqrt(13) + 0))**2 + sqrt(13))*5. 7*sqrt(13) + 599 Simplify (-5*sqrt(81)/sqrt(3) + 4 + 1 + sqrt(12)/sqrt(4) + -4)**2 + 0. -28*sqrt(3) + 589 Simplify (sqrt(1200) - (-3 + sqrt(1200) + 2)**2) + 1. -1200 + 60*sqrt(3) Simplify (-2*((-1*sqrt(264) - sqrt(264) - sqrt(264)) + sqrt(264))/sqrt(12))/(2*sqrt(704) - sqrt(704) - sqrt(704) - -2*sqrt(1331)). 2*sqrt(2)/11 Simplify (sqrt(136)*-2*-1 + sqrt(136) + sqrt(136))/(sqrt(8
{ "pile_set_name": "DM Mathematics" }
23? True Suppose -3*i + 117 = -12. Suppose -n + 29 = -i. Suppose -3*k = -3*y + 144, 170 = 5*y - 3*k - n. Does 8 divide y? False Let q(h) = 153*h + 1119. Is 19 a factor of q(21)? True Let d(o) = -34*o + 357. Does 5 divide d(7)? False Suppose 0 = 4*i + 8*c - 11*c - 208238, -c + 104134 = 2*i. Is 16 a factor of i? True Suppose 20*u = 21*u + 4*w - 1106, 0 = 3*u - 3*w - 3258. Does 3 divide u? False Let r(m) = 1132*m**2 - 8*m + 39. Is r(2) a multiple of 21? False Suppose 0 = 5*l - 10*l + 15. Suppose -5*u + 10 = 0, l*u - 3 = -3*i + 3. Suppose i = 4*w - w - 3*t - 444, 4*t = -5*w + 776. Is w a multiple of 27? False Suppose -5*q = -47 - 223. Let u = q - 49. Suppose -u*o - 9 = -84. Does 2 divide o? False Let u = 164 + -236. Let y = u - -56. Is 9 a factor of y/(-12) + (-6)/(-9) - -10? False Let d = 46475 + -37706. Is 10 a factor of d? False Suppose -29*n - 35*n + 78180 = -44*n. Is 175 a factor of n? False Let n = -9647 + 20967. Is 5 a factor of n? True Let g(p) be the third derivative of p**5/5 - 5*p**4/24 - 17*p**3/3 - 25*p**2. Does 52 divide g(7)? False Let g be (-1790)/(-5)*(2 + (-5)/2). Let u be (-26)/10 - 10/25 - g. Suppose 4*s = 8*s - u. Does 12 divide s? False Suppose -2*f - 3*l + 1224 = 0, 15*l = -3*f + 14*l + 1850. Let w = f + -119. Is w a multiple of 14? False Let x(q) = q + 15. Let n(s) = 1. Let y(a) = -78*n(a) + 6*x(a). Let c be y(10). Suppose 0 = 4*i - 6*i + c. Is i a multiple of 36? True Suppose 5*f = -a + 28201, -25*f + 30*f + 4*a - 28219 = 0. Is f a multiple of 9? False Let r be (-4 + (-14 - 4))*215/(-10). Suppose 1597 = 5*b - r. Does 8 divide b? False Is 12 a factor of (3/3)/(7543937/(-342907) + 22)? False Suppose -115460 = -7*c - 44802. Is c a multiple of 103? True Suppose 5614 = -89*x + 111299 + 16957. Is 26 a factor of x? True Suppose 5*a = 4*i + 2236, -3*a - 10*i = -5*i - 1349. Is 32 a factor of a? True Suppose -5*n + y + 11 = 0, -n + 8 - 1 = y. Suppose -n*r + 1101 = -495. Does 19 divide r? True Suppose -o = 5*b - 17 - 5, 5*o - 5*b = 230. Let t = 46 - o. Is t even? True Suppose l + 7*l + 8416 = 0. Let p = -670 - l. Is 10 a factor of p? False Let j = -21946 - -36160. Does 23 divide j? True Suppose 0 = 22*u - 26*u + 8, 16544 = 2*x - 5*u. Is 28 a factor of x? False Let d(s) = -2*s**3 + 10*s + 13667. Is d(0) a multiple of 16? False Let c = 47 - 41. Suppose -5*w + c*w = -4*n + 6, 2*n + 32 = 3*w. Suppose 0 = s - 45 + w. Does 13 divide s? False Suppose -46*g + 7665 = -43*g - 3*v, -5*v - 5116 = -2*g. Is g a multiple of 67? False Let n(k) = k**3 - k - 94. Let p(o) = o**3 - o**2 - 91. Let b(i) = -5*n(i) + 4*p(i). Is 64 a factor of b(-9)? False Suppose 2*t = 118 - 114. Suppose 74 + 6 = t*c. Is c a multiple of 10? True Suppose 68*k - 659 = 1717 + 276. Does 7 divide k? False Suppose -4*x - 37 - 51 = 0. Let d(o) = o**3 + 23*o**2 + 12*o - 24. Let h be d(x). Suppose -10*b = -3*b - h. Does 3 divide b? False Is 221 a factor of ((-116)/3)/(((-24)/3978)/4)? True Let h = -4703 - -9795. Does 76 divide h? True Suppose 9*g + 3661 - 43981 = 0. Is g a multiple of 20? True Let p(s) = -4*s + 24. Let i be p(5). Suppose 2 = i*m - 2. Does 4 divide m + 21 - (1 - -1)? True Suppose 6*j - 1039 = 3299. Let q = j - 424. Does 31 divide q? False Suppose -2*f - 21 = -3*f. Let c = f + 13. Let o = c + -6. Does 7 divide o? True Suppose 111*f + 153 = 95*f + 489. Is f a multiple of 7? True Let l(k) = k**3 + 5*k**2 - 15*k - 12. Let x be l(-7). Let f(c) = -c**3 - c**2 - c - 6. Let r be f(x). Suppose w = -5 + r. Is w a multiple of 30? False Suppose -21073 = -3*l + 5*b + 26989, 5*l = 4*b + 80086. Is 34 a factor of l? True Let r(x) = x**3 - 8*x**2 - 6. Suppose 2*a + 5*f - 143 = 0, 0 = -a - 4*f + 15 + 64. Suppose a = 4*l + 23. Is 15 a factor of r(l)? True Suppose 12*v - 16 = 8*v. Let h(u) = -3*u + 12. Let g be h(v). Suppose -5*i + m + 477 = g, -4*i - m = 4*m - 399. Does 24 divide i? True Let t = 8 + -22. Let q(r) = 2*r + 16. Let p be q(t). Does 24 divide (-56)/p*36/7? True Let x(y) be the second derivative of -7*y**3/6 - 29*y**2/2 + 10*y. Let h be x(-5). Does 18 divide 2*((-1395)/h)/(-3)? False Let b(k) = 208*k - 124. Let g(z) = 69*z - 41. Let i(s) = 6*b(s) - 17*g(s). Does 12 divide i(9)? False Suppose b + f - 51 = 6*f, -2 = -f. Suppose 2*k = -4*y + 36, 5*k - 3*y - 29 - b = 0. Does 2 divide k? True Let n be (0 + 15/4)/((-1)/(-4)). Suppose -20*d = -n*d - 4290. Is 33 a factor of d? True Let p(r) = 20*r**2 + 271*r - 18. Is 3 a factor of p(-18)? True Suppose -73*u - 26*u = -10*u - 1251162. Is u a multiple of 20? False Let q = 449 + -387. Suppose -65*y = -q*y - 1017. Is y a multiple of 12? False Suppose -3*i = -1338 + 114. Suppose 0 = s - i - 102. Is 10 a factor of s? True Let x = 6428 - 1658. Does 45 divide x? True Let v(n) = -1419*n - 2106. Is v(-12) a multiple of 99? False Let y(a) = -10*a**2 + 925*a + 195. Is y(83) a multiple of 25? False Let s be 7 + -5 - (7 - 3). Let w be -2 + 1 + (-26)/s. Suppose w*l - 372 = 6*l. Is 12 a factor of l? False Suppose -4*a + 4*f = -3056, 119*a - 122*a + 4*f + 2297 = 0. Does 11 divide a? True Let d(p) = -p**3 + 60*p**2 + 464*p + 70. Is 7 a factor of d(55)? False Suppose -20*j = 20864 - 75744. Is 5 a factor of (-2)/(-8) - 8/((-256)/j)? False Let g be ((-38)/(-4))/((-9)/54). Let o(c) = 4*c**2 + 10*c - 9. Let a be o(4). Let i = g + a. Does 6 divide i? False Let w = -442 - -446. Suppose -w*y + 7920 = 7*y. Does 80 divide y? True Let n(u) = -4*u - 76. Let i be n(-19). Suppose 0 = -4*p - 0*b + b + 328, 4*p - 2*b - 332 = i. Is p a multiple of 33? False Let y(b) = -116*b**2 - 2287*b + 22. Is 5 a factor of y(-18)? False Suppose 0 = -3*z - 2*u + 3538, 5*z - 5*u - 3727 - 2228 = 0. Is 14 a factor of z? False Let c(w) = -w**2 - 19*w + 1. Let b be c(-19). Let o be (3 - (-40)/(-5))/((-1)/b). Suppose -3*k + 2*g + 53 = 0, 0*g - o*g = -5*k + 80. Is k a multiple of 2? False Suppose 0*h + 4 = 2*h + 4*y, 5*y = -5*h + 25. Is -4 - (-3 - h) - -660 a multiple of 15? False Let q(p) = -5*p**2 + 16*p + 29. Let r be q(-9). Let g = -360 - r. Is g a multiple of 16? True Let r = 5176 + -3600. Let x = -701 + r. Is 68 a factor of x? False Is 70/2*(-74392)/(-340) a multiple of 14? True Suppose 67 = -3*r - 5*i - 20, 3*i + 93 = -3*r. Let u(x) = -5*x - 38. Is 11 a factor of u(r)? True Suppose m + 30*v - 27*v = 12085, 5*v = -4*m + 48326. Does 42 divide m? False Let w be (-6*(-24)/45)/((-5)/(-50)). Suppose 38*g - w = 37*g. Is g a multiple of 7? False Suppose w - 1357 = 5*c, -2*c - 5*w - 619 = -87. Let i be -188 - ((8 - 10) + -10). Let p = i - c. Is 17 a factor of p? False Let f = 8 - 16. Let w(u) = -4*u - 35. Let l(j) = -4*j - 26. Let q(s) = 4*l(s) - 3*w(s). Is 3 a factor of q(f)? True Let k(n) = 4*n**3 + 82*n**2 + 12*n + 72. Does 79 divide k(-20)? True Let u be 3/((-42)/(-12) + -5). Is (42/(-4))/(u - (-116)/64) a multiple of 8? True Let o = -92 + 94. Let n(l) = 14 + 17 + 5 + o*l. Does 4 divide n(-8)? True Suppose 0 = 3*q - 5*k + 33, -3*q + k + 3 = 24. Let a be ((-6)/(-5))/((q/20)/(-3)). Does 33 divide (-1 + a/8)*330? True Let l = 123 - 124. Let f(w) = -306*w. Does 50 divide f(l)? False Let s = -524 - -311. Let j = -133 - s. Does 2 divide j? True Suppose 2*l = -3*g + 16, 13*g - 18*g = 0. Suppose 7*t = l*t. Suppose -5*y - 3*y + 1232 = t. Does 25 divide y? False Suppose -2*r + 34*l = 31*l - 290, -l = 5*r - 708. Let x = -38 + r. Does 13 divide x? True Let o = -2734 - -10061. Is 17 a factor of o? True Suppose 5*z + 59 = 3*d - 10, -5*d + 152 = 4*z. Let m be (-2)/42*-3 - (-220)/d. Suppose 0 = -10*y + 8*y + m. Does 4 divide y? True Let i be -12*1/(0 + -4). Is 14 a factor of 33 + 6 - (2 + -5 + i)? False Let u be (5 - 724/(-8))*36*1. Is ((-4)/12)/((-6)/u) a multiple of 30? False Suppose -7*p + 7618 + 55651 = v, 3*p = 4*v - 252952. Is 18 a factor of v? False Let p(u) = -u**2 - 3*u + 26. Let b be p(3). Let h(l) = -2*l**2 + 3*l**2 - 2 - 14. Is 10 a factor of h(b)? False Suppose -f + 5*f = -2*v + 42, 0 = v - f - 6. Suppose v*n + n = 24. Suppose -138 = -n*s - i - 49, 0 = s - 5*i - 17. Is s a multiple of 32? False Suppose 0 = -14*x + 13*x - b + 5639, -3*b = -3*x + 16893. Does 64 divide x? False Let v(p) = 39*p**2 + 173*p - 1055. Is v(6) a multiple of 67? False Is 5 a factor of 3*(14/(-42))/((-3)/12345)? True Let p(v) = 3*v. Let t be p(2). Suppose 2*z + 3*h - 393 = 0, -t = 5*h + 19. Is 12 a factor of z? T
{ "pile_set_name": "DM Mathematics" }
se 6*n = 709 - 199. What is the greatest common divisor of 5 and n? 5 Let j(n) = -3*n**3 + 2*n**2 + 3*n + 2. Let d be j(-2). Suppose -f = -q + 9, 0 = 2*q - f + 5 - 18. What is the highest common divisor of q and d? 4 Let p = 112 + -102. Calculate the greatest common divisor of 35 and p. 5 Let b = -13 - -39. Suppose -5*a + 4*a - 8 = 0. Let n = a + b. What is the highest common divisor of n and 162? 18 Let g(h) = 2*h**2 + 4*h - 10. Let t be g(-8). Let k be (-170)/3 - 4/(-6). Let r = k + t. What is the greatest common divisor of 12 and r? 6 Let t = -2 + 3. Let a(w) = w + 3. Let m be a(3). Let z = m - 1. What is the greatest common factor of z and t? 1 Let k be (-6)/4 + (-276)/(-8). What is the highest common factor of k and 3? 3 Let a be 2/(-4) - 424/(-16). Suppose -2*k - a = -156. Calculate the highest common factor of 13 and k. 13 Suppose -3*g + 0*g = 24. Let o be g/(-1) + (6 - 4). Let a be -20*(-1)/(-2)*-2. What is the greatest common factor of a and o? 10 Suppose -5*u = 25, -3*u - 13 = -h - 4*u. Calculate the greatest common divisor of h and 18. 18 Let b(u) = u**3 + 7*u**2 + 2*u + 16. Let d be b(-7). Suppose -6*j = -d*j - 80. What is the highest common divisor of 100 and j? 20 Let d = 35 + 1. Suppose 0 = i - 6 + 2. Calculate the highest common factor of i and d. 4 Suppose 5*h = -8 + 28. Let v be (-539)/(-44) + 2/(-8). Calculate the highest common divisor of h and v. 4 Suppose 0 = -4*a + w + 930, -2*a + 3*a + 5*w = 222. Calculate the highest common factor of 29 and a. 29 Let r be 21 + 1 + -4 + 3. Calculate the highest common divisor of r and 21. 21 Suppose 5*p - 96 = 4*m, 0*m = -m - 4. What is the highest common divisor of p and 32? 16 Let a(w) = -4*w. Let t be a(-1). Suppose t + 4 = z. Let s = -268 + 308. Calculate the greatest common factor of z and s. 8 Let n = 14 + -7. Let i = n + 0. Let f = -4 + 5. What is the greatest common divisor of f and i? 1 Let v = 2 + 3. Let u be 1/(1 - (-4)/(-5)). Calculate the highest common divisor of v and u. 5 Let z be 0 + 4/(12/9). What is the highest common factor of 33 and z? 3 Let q = -196 + 284. What is the greatest common factor of q and 8? 8 Suppose 3*s = 4*m - 4, 0 = -4*m - 0*s - s + 20. What is the highest common divisor of 36 and m? 4 Suppose 0 = p - 28 + 7. Calculate the greatest common divisor of 63 and p. 21 Suppose -3*g = -2*g - 81. Calculate the greatest common divisor of g and 54. 27 Suppose -5*l - 3020 = -0*l. Let m be l/(-10) - (-2)/(-5). Calculate the highest common divisor of 40 and m. 20 Suppose 6*f - 40 = 2*f. Suppose 0 = -0*t + t - f. Calculate the highest common divisor of 5 and t. 5 Let s(k) = -2*k - 7. Let y be s(-5). Let q be 21/y*(2 - -1). Let z = 47 - q. What is the highest common factor of z and 13? 13 Let f(v) = -7*v**2 + v - 1. Let k be f(1). Let n = 25 - k. What is the greatest common factor of 8 and n? 8 Suppose -18*s + 96 = -14*s. What is the greatest common divisor of s and 6? 6 Let l = -11 + 16. Let z be 336/15 - 2/l. What is the greatest common factor of z and 55? 11 Suppose -5*b = -5*u - 5, 3*b = -2*u + u + 7. What is the greatest common factor of 2 and b? 2 Let u = 8 + 72. Suppose -5 = -5*c + 2*a, 2*c = -c + 4*a - 11. Suppose 5 = c*x - 25. Calculate the highest common divisor of u and x. 10 Let n be -42 - -16 - 2*1. Let k be (-284)/(-14) - (-8)/n. Calculate the greatest common factor of 30 and k. 10 Let u(l) = -l**2 - 15*l - 8. Let b be u(-14). Calculate the highest common factor of b and 24. 6 Let q be 1/((-22)/(-172)) - (-6)/33. Calculate the greatest common factor of q and 104. 8 Let g(v) = -v**3 + 5*v**2 + 5*v + 9. Let n be g(6). Calculate the greatest common factor of n and 6. 3 Suppose -3*r + 216 = 21. Suppose -4*c + r = c. Calculate the highest common divisor of 39 and c. 13 Let q(k) = -2*k - 4. Let x be q(-3). Suppose -z - 9 = -4*z. Suppose z = x*l - 17. Calculate the highest common divisor of l and 20. 10 Let m(d) = -19*d + 18. Let x be m(-6). Calculate the highest common divisor of 12 and x. 12 Let f(a) = -2 - 3*a - a + 1 + 5*a. Let z be f(11). Calculate the greatest common divisor of z and 25. 5 Let s(k) = -6*k + 3. Let j be s(-3). What is the greatest common factor of j and 231? 21 Suppose o - 89 - 54 = 0. What is the highest common factor of o and 13? 13 Let y(x) = -5*x - 3. Let u = -4 - -2. Let m be y(u). Let z(r) = -r**2 + 8*r - 1. Let a be z(m). What is the greatest common factor of 66 and a? 6 Let z(i) = -i + 26. Let x be z(6). Let q be (-162)/(-8) - (-10)/(-40). Calculate the highest common divisor of q and x. 20 Suppose -4*t + 9 = 5*n - 7*t, 5*t + 15 = -2*n. Let f = 48 - 21. Suppose 4*l = n, -5*g - 5*l = -2*g - f. Calculate the greatest common divisor of g and 99. 9 Suppose -4*l + 4*g = -56, -3*l - 65 = -8*l + 4*g. What is the greatest common divisor of l and 81? 9 Let h(d) = d**2 - 3*d - 4. Let g be h(6). Let q be 4/6*(-252)/(-4). Calculate the highest common divisor of q and g. 14 Let d(a) = 2*a**2 - a + 1. Let q be d(1). Let b be (-68)/(-8) - 1/q. Let z = -3 + 5. What is the greatest common divisor of b and z? 2 Let n = 23 - 4. Suppose -n = -2*s - 3. Suppose 8 = 2*g - 4*d, 0 = 2*g - g - 5*d + s. Calculate the greatest common factor of 96 and g. 12 Let u = -25 - -39. Calculate the greatest common factor of 28 and u. 14 Let k be (-102)/(-5) - (-90)/150. Calculate the highest common divisor of k and 3. 3 Let v(n) = 10*n - 2. Let m be v(-8). Suppose 5*p = 2*b + 89, -1 = p - 2. Let i = b - m. What is the greatest common factor of i and 16? 8 Suppose -9*k - 9*k + 72 = 0. Calculate the greatest common factor of k and 52. 4 Suppose -3*u + 2*y + 51 = 4*y, 0 = u + 4*y - 7. What is the highest common factor of 38 and u? 19 Suppose 2*t = -0*c - 3*c + 2, 0 = -5*c - 4*t. Let l(p) = 5*p**2 - 1. Let h be l(-1). Calculate the highest common divisor of h and c. 4 Suppose 3*r + 5*x - 85 = 0, 4*r + 5*x = 3*r + 45. What is the highest common factor of r and 15? 5 Suppose -4*y = y + u - 88, y + 5*u - 8 = 0. Calculate the highest common factor of 54 and y. 18 Let q be 273 - 1*(-3 + 0). Let f = q - 196. Calculate the greatest common factor of f and 20. 20 Let c(a) = a**2 + 5*a - 1. Let y be c(-6). Let q be 2/(-5) - (-27)/y. Suppose -q*r = -83 - 217. Calculate the highest common divisor of 12 and r. 12 Let x(c) = -c**3 - 5*c**2 - 2*c + 3. Let q be x(-3). Let r = 20 + q. Calculate the greatest common factor of 44 and r. 11 Suppose 0 = 2*p - 5*u - 3, 0 + 3 = -2*p - u. Let v be (p - (-2)/2) + 75. Suppose 10*d - v = 5*d. What is the greatest common factor of 75 and d? 15 Suppose 3*z = 1134 + 87. What is the highest common divisor of z and 37? 37 Let k be 2 - (-3 + 4)*-35. Calculate the highest common factor of 37 and k. 37 Suppose 13*s - 14*s + 11 = 0. Suppose -10 = o - 6*o. Suppose -354 = -4*v + 2*r, -5*v = -o*r - 425 - 17. Calculate the greatest common divisor of v and s. 11 Let o(m) = -m**2 + 7*m. Let b be o(6). Let i = 10 + b. What is the highest common divisor of i and 32? 16 Let t be 47 - -2 - 1/(-1). Let h = t - 17. What is the greatest common factor of h and 22? 11 Suppose -4 = -4*c + 8. Suppose -c*x - 6 = -3*y, 5*y - 4 = x - 2*x. Let z = 4 + y. Calculate the highest common divisor of z and 5. 5 Let v be 6/(-4) + (-27)/(-6). Suppose 0*m - v*m = -9. What is the greatest common divisor of m and 2? 1 Suppose 3*o + 65 = 4*f, -2*o - 3*o = -f + 29. Calculate the greatest common divisor of f and 14. 14 Let g = -9 - -12. Suppose 26 = g*x - x. Calculate the greatest common divisor of 13 and x. 13 Let q be (-4)/(-22) - ((-22152)/(-44))/(-3). What is the greatest common divisor of q and 21? 21 Suppose 0 = -3*o - q + 8, -6*q = -5*o - q + 40. Suppose -3*n - 5*m = 1, n + n + m = 11. What is the highest common divisor of o and n? 4 Suppose 5*g = 5*p + 100, -2*p + 6 = -g + 23. Suppose -5 = -2*j + b, -g = -2*j - 2*b - 3*b. What is the highest common divisor of j and 10? 2 Let n(a) = 46*a**2 - 2*a + 4. Let v(b) = -47*b**2 + 2*b - 5. Let j(i) = 6*n(i) + 5*v(i). Let c be j(-1). What is the highest common divisor of c and 6? 6 Suppose -5*s + 8*s - 9 = 0. Suppose h + s = 10. Calculate the greatest common divisor of 63 and h. 7 Let d be ((-105)/20)/(-2*4/32). What is the greatest common divisor of 21 and d? 21 Let w(h) = h**3 - 6*h**2 + h - 4. Let r be w(5). Let m be r/(1*(-4 + 3)). Let
{ "pile_set_name": "DM Mathematics" }
w**(254/13) Simplify (y*y**1)**27/(y**(-24)*y**(3/11)) assuming y is positive. y**(855/11) Simplify (k**2/k)**(-7/6)*(k/(k/k**3))**32 assuming k is positive. k**(569/6) Simplify (u*u/(u/u**(-13)))/((((u*u**(4/11)*u)/u)/u)/u)*(u/((u/(u**(-14/5)*u))/u)*u)/u*u**(-15) assuming u is positive. u**(-1494/55) Simplify (y/y**(3/7)*y*y)**(1/7)*y/(y/(y*(y/y**(8/7))/y))*y*(y/(y*y**(-2/29)))/y assuming y is positive. y**(417/1421) Simplify m**(29/3)/(m/(m*m/((m**7/m*m)/m)*m)*m)*((m/(m*m**35/m*m))/m)/m*m**(-9) assuming m is positive. m**(-124/3) Simplify ((o**(-2/3)/o)**36/((o/o**(-2))/(o/((o/(o/(o*o/(((o/o**(-3))/o*o)/o)*o)))/o))))**(-4) assuming o is positive. o**244 Simplify z**24/z**(1/45)*(z/(z**(-18)*z)*z)**(-8/17) assuming z is positive. z**(11503/765) Simplify b*b/b**(2/35)*b*b**24*b*b**(-3)/(b/((b/((b**28/b)/b*b))/b)) assuming b is positive. b**(-107/35) Simplify ((x**19/x*x)**(-23))**(-21) assuming x is positive. x**9177 Simplify ((q**(3/5)/q)**(5/12)/((q/(q**2*q))/q)**(3/25))**(-21) assuming q is positive. q**(-203/50) Simplify (q**23)**(-1/9)*(q/(q/q**(3/2)))**(-25) assuming q is positive. q**(-721/18) Simplify (((z*z**(-8/5))/(z/z**(-6)))/(z**(3/4)*z/z**(-7)*z))**(1/19) assuming z is positive. z**(-347/380) Simplify p**1*(p**(-14)*p*p)/p*(p**5*p)**(13/2) assuming p is positive. p**27 Simplify (y*y*y*y**12/y*y)/(y/(((y/(y*(y/y**13)/y)*y*y)/y)/y))*y**6*(y**(-2/31)/y)/y*y assuming y is positive. y**(990/31) Simplify (m**4)**(-29)/(m*(m/(m/m**(-4))*m)/m)**(-12) assuming m is positive. m**(-152) Simplify (c**4)**(-19)/(c*c/c**(-7)*c**(-3)) assuming c is positive. c**(-82) Simplify (z**0*z)**(1/16)/(z**(-10)*z/(z*z*z**9*z*z*z)) assuming z is positive. z**(369/16) Simplify (((t*t**2)/t)**(1/11))**(-42) assuming t is positive. t**(-84/11) Simplify n**(-10/7)/((n/(n**(-4)*n))/n)*n/(n**(19/2)/n)*n**(1/14) assuming n is positive. n**(-83/7) Simplify ((f/(f/f**(-19)))/f)**(-6/19)*(f/(f**0/f))**(4/7) assuming f is positive. f**(992/133) Simplify (s**(-1/10)/((s/(s/(s*s**31)))/s))/(s*s/(s/(s/(s/(s/(s/s**(5/2)*s)))))*s**(-2/53)) assuming s is positive. s**(-8894/265) Simplify (d**(1/3)/d**(-5)*d/d**(2/5)*d*d**7)**(-9) assuming d is positive. d**(-627/5) Simplify (y**(5/6)*(y/(y/y**(-3/4)))/y)/((y/(y**(-6)*y))/y)**20 assuming y is positive. y**(-1211/12) Simplify (f/(f*f**36)*f*f)/(f*(f*f*f**(8/13)*f)/f)*(f**26)**(-4/9) assuming f is positive. f**(-5753/117) Simplify (d*d/(((d*d/d**(-2/5))/d)/d)*d*d**(-11/4))/((d**(-1/7)/d)/(d**(-3)/d)) assuming d is positive. d**(-421/140) Simplify l*l*l*l**18/l*l*l*l*l**(6/13)*(l**23)**(-12) assuming l is positive. l**(-3283/13) Simplify u*u*u**(-11)*(u/u**(-2/7))/u*u**(-1/6)*u/(u**(-1/10)/u) assuming u is positive. u**(-712/105) Simplify ((o**(-8)/o)/(o/((o**(3/2)/o)/o)))/(o**2*o/(o/o**(2/5))*o) assuming o is positive. o**(-139/10) Simplify ((j**(-1)/j)**(1/18))**(-14) assuming j is positive. j**(14/9) Simplify (g*g**(-36)*g**(-23)*g*g)/(((g*g*g**20)/g*g)/g)**(2/31) assuming g is positive. g**(-1778/31) Simplify (y**22)**(16/11)/(y**(4/3)*y/y**(-23)) assuming y is positive. y**(20/3) Simplify (k/((k/(((k/(k**(1/16)/k)*k)/k*k*k)/k))/k))/k*k*k**24*k**(-5/4)/k**(-6) assuming k is positive. k**(523/16) Simplify ((w*w*w*w**(-6)*w*w*w*w/(w/(w*w**1/w*w)))**(10/9))**(-2/15) assuming w is positive. w**(-8/27) Simplify (v**(-2)*v)**50/(v/v**(1/2))**38 assuming v is positive. v**(-69) Simplify (((f*f*f**(-19)*f)/f)/f**13)/(f*(f*f*f**(-28)*f)/f*f**6/f) assuming f is positive. f**(-10) Simplify i*i**11*i*i*i*i*i/i**17*i*(i*i/(i/(i**(-19)/i)))**(-1/7) assuming i is positive. i**(26/7) Simplify (q**(2/25))**44*q**(-8)/q*q*q*q*q**20 assuming q is positive. q**(438/25) Simplify i**(-3/7)/i*i**(-10)*i*i/(i**(3/8)*i)*i**(-11)*i assuming i is positive. i**(-1165/56) Simplify (q/(q*q/q**9*q))/q**(-10)*((q**13*q)/q)/(q**(2/3)*q) assuming q is positive. q**(85/3) Simplify (f*f**(8/3)*f**(4/3)*f)/((f*f**(-25/2)*f)/f**(3/10)) assuming f is positive. f**(84/5) Simplify ((g*((g*g**(2/9))/g)/g)/g*g*g/(g**(1/7)/g))/(g*(g*g**(-6)*g*g)/g*g*(g*g**(-2/27))/g) assuming g is positive. g**(785/189) Simplify (f**(1/4)*f*f/(f*f/f**12*f*f))/(f**(-6))**(-4) assuming f is positive. f**(-55/4) Simplify ((j**(-7)*j)/j**(2/29))/(j/(j/((j**(-1/18)*j)/j))*j*j**7) assuming j is positive. j**(-7315/522) Simplify ((t/(((t*t*t*t/((t**(1/4)/t)/t))/t)/t))/(t*t**(6/5)))/((t*t/(t*t**(1/12)))/t**(-1/4)) assuming t is positive. t**(-367/60) Simplify ((t*t*t**(-2/3)*t)**(-45)/((t**4/t)/t*t/t**(1/5)))**(21/5) assuming t is positive. t**(-11319/25) Simplify (r/r**0)/(r*(r/r**(14/5))/r)*(r**13/r)**(4/7) assuming r is positive. r**(338/35) Simplify ((d**3/d**6)**(-3/11))**(2/21) assuming d is positive. d**(6/77) Simplify ((g/(g/(g*g**(-4/5))))/(g**10/g))/(g/(g*g**(-2/7)))**(4/11) assuming g is positive. g**(-3428/385) Simplify ((z/(z*z/z**(6/7)))**(-9/8))**27 assuming z is positive. z**(243/56) Simplify ((z**13/((z*z/z**(-15)*z)/z))**(22/7))**(-3/8) assuming z is positive. z**(33/7) Simplify (((w/(w*w**2*w))**(-21))**4)**(-14/13) assuming w is positive. w**(-3528/13) Simplify ((w*w*w/w**(-3/7))/(w/(w*w/w**14*w)))**24 assuming w is positive. w**(-1440/7) Simplify u**(-5)/((u/(u/(u**12*u)*u))/u*u*u)*u**(1/3)/u**0 assuming u is positive. u**(-53/3) Simplify (f/(f/(f**(-7/4)/f))*f*f)/((f*f**36)/f)*(f**29/f)**(3/10) assuming f is positive. f**(-567/20) Simplify (x**(-25)*x/x**(-1/3))**(12/7) assuming x is positive. x**(-284/7) Simplify (o*o**8/o*o)/(o/o**(1/17))*o**(-1)/(o/(o/o**(2/13))) assuming o is positive. o**(1526/221) Simplify ((z**(-2/3)*z/z**0)/(z*z**(2/3)*z*z)**(-3))**17 assuming z is positive. z**(578/3) Simplify ((f/(f*f*f*f**(-1/4)*f*f*f)*f/(f**(-12)*f))**(-3))**(-47) assuming f is positive. f**(4089/4) Simplify (u**(-9/4)/((u/u**(-4/7))/u))/((u/(u*u**2*u))/(u/u**(-4))) assuming u is positive. u**(145/28) Simplify (n/n**0)**(1/66)/(n/(n/((n/((n/(n/n**(1/14)))/n)*n)/n))*n*n**(-1/2)*n*n) assuming n is positive. n**(-2039/462) Simplify ((k*k**(-3/11))/k*k/k**32)/(k**5*k*((((k/(k*k/(k*k/(k*k**(-26/7))*k))*k)/k)/k)/k)/k*k) assuming k is positive. k**(-3079/77) Simplify (((j**(-1)*j)/j)**(-24)*(j**1/j)/(j/(j/j**(2/3)*j)))**(-25) assuming j is positive. j**(-1825/3) Simplify ((w**8*w)/(w/(w**(-5)/w)))/(w/(w*w**(-2)*w))**(-19) assuming w is positive. w**21 Simplify ((a/(a/(a/(a/(a/(a*a**0))*a)))*a)**(-1/9)*((a**0/a*a*a)/a*a)**(-21))**(-30) assuming a is positive. a**630 Simplify (x**(2/9))**1/(x*x**(-1/6)*x*x/(x/((x*x*((x*x**(-12))/x)/x*x)/x))) assuming x is positive. x**(169/18) Simplify j**(4/3)/j**12*(j**(-1/3)*j)/(j**2*j*j) assuming j is positive. j**(-14) Simplify (v**(-3/5)*v**(-3/2))/(v**(-17)/v**14) assuming v is positive. v**(289/10) Simplify ((p**(-1/3)*p*p**(-2/9))**(-1/72))**(2/9) assuming p is positive. p**(-1/729) Simplify (v**(2/3)*v/v**(-5/7))**14 assuming v is positive. v**(100/3) Simplify ((i**(-1/2))**26/((i**(-2/5)*i)/(i*(i/(i*i/i**(-3)*i*i*i*i))/i)))**(-2/9) assuming i is positive. i**(24/5) Simplify ((b/b**(3/10))/(b/b**(2/15)*b))/((b**(1/2)*b)/b**(-3/7)) assuming b is positive. b**(-65/21) Simplify ((m**(3/5)/m**(-1))/((m*(m**(2/13)/m)/m)/(m**(-1/9)/m)))**(-2/33) assuming m is positive. m**(-142/1755) Simplify (k/(k/(k/(k*k**(1/3))*k*k*k*k*k))*k)**(-1/10)*k/k**(-8/3)*((k**(-9)/k)/k)/k assuming k is positive. k**(-89/10) Simplify (s/(s**(-6)/s)*s*s)**31*s**(-18)/s**(7/4) assuming s is positive. s**(1161/4) Simplify (x*x**(2/17))**21/(((x**3/x)/x)/x*x/(x*x**(-8))) assuming x is positive. x**(263/17) Simplify (((b/b**7)/b)/(b*(b/b**(-2/19))/b))/(b/(b*b/(b/(b*b*b*b*b/b**(8/3)))*b)*(((b*b/b**(-1))/b)/b*b)/b*b*b) assuming b is positive. b**(-443/57) Simplify p*((p/(p*p*p*(p/(p*p**25/p))/p*p))/p)/p*p*p**(4/7)*p**(-30)*p*(p*(p/(((p/(p*p**(-27/2)))/p*p)/p*p*p))/p)/p assuming p is positive. p**(-293/14) Simplify (f**(-30))**(-1/20)/(f**(-6/11)/(f/(f**(11/4)*f*f*f)*f)) assuming f is positive. f**(-75/44) Simplify (u**28/(u*u**(-2/55)/u))/(u*u**(-2/47)*u*u**27*u*u) assuming u is positive. u**(-7551/2585) Simplify (((q**3*q)**(-2/57))**22)**(-16) assuming q is positive. q**(2816/57) Simplify (b*b**5*b**(-4)*((b*b*b*b*b**(1/3)*b*b)/b*b)**(-2/13))**(-28) assuming b is positive. b**(-1120/39) Simplify (w**(2/9)/w)**(-40)*(w**(1/3))**(3/14) assuming w is positive. w**(392
{ "pile_set_name": "DM Mathematics" }
mmon denominator of 113/12 and -1/882030. 1764060 Calculate the smallest common multiple of 596 and 133220. 19849780 Find the common denominator of -131/9450 and -89/252. 18900 What is the lowest common multiple of 12001 and 2? 24002 Calculate the common denominator of -49/488 and -59/1962. 478728 What is the least common multiple of 7304 and 149732? 299464 Calculate the lowest common multiple of 813 and 5211. 1412181 What is the smallest common multiple of 12623 and 559? 542789 What is the lowest common multiple of 32120 and 8760? 96360 Calculate the least common multiple of 103342 and 15216. 2480208 Find the common denominator of -26/59981 and -37/9. 539829 Calculate the common denominator of -51/580 and -31/16025. 1858900 Find the common denominator of -23/5097 and -91/690. 1172310 What is the smallest common multiple of 183836 and 36? 1654524 What is the least common multiple of 2323158 and 2? 2323158 Calculate the lowest common multiple of 5918 and 116. 343244 Find the common denominator of -59/470 and -99/1120. 52640 What is the common denominator of -65/81 and 83/60687? 546183 What is the least common multiple of 16 and 3856? 3856 What is the common denominator of -95/6896 and 95/32? 13792 Calculate the least common multiple of 178 and 29368. 2613752 Find the common denominator of -23/113 and 133/690. 77970 What is the common denominator of 65/21402 and -53/35670? 107010 Calculate the common denominator of 14/1293507 and -119/1212. 5174028 Calculate the common denominator of 23/164 and 23/10291. 41164 What is the lowest common multiple of 88 and 5520? 60720 Calculate the least common multiple of 10850 and 350. 10850 What is the smallest common multiple of 233664 and 9? 700992 Calculate the least common multiple of 352452 and 12. 352452 What is the common denominator of -31/37899 and -49/16844? 151596 Calculate the smallest common multiple of 356 and 1896. 168744 What is the common denominator of 11/36 and -85/4472? 40248 Calculate the common denominator of 18/3887 and 44/169. 3887 Calculate the lowest common multiple of 55 and 2430. 26730 Calculate the least common multiple of 1785 and 42942. 1502970 Find the common denominator of -13/236 and 73/716. 42244 What is the common denominator of -18/451 and -9/22451? 920491 Calculate the lowest common multiple of 330 and 177342. 886710 Calculate the lowest common multiple of 23910 and 330. 263010 Calculate the least common multiple of 750800 and 112620. 2252400 Calculate the smallest common multiple of 154 and 7434. 81774 What is the common denominator of -95/28 and -109/82586? 165172 Calculate the least common multiple of 9435 and 2346. 434010 Calculate the common denominator of -127/9696 and -43/707. 67872 What is the smallest common multiple of 50 and 21832? 545800 Find the common denominator of 37/48348 and -61/14. 338436 Find the common denominator of -55/1156 and 75/6128. 1770992 What is the lowest common multiple of 209 and 125761? 1383371 Calculate the lowest common multiple of 2340 and 90. 2340 Calculate the common denominator of -73/142876 and 125/37272. 857256 What is the common denominator of 37/24280 and -33/1706? 20710840 Find the common denominator of 103/1050 and -67/249. 87150 What is the least common multiple of 23343 and 13554? 420174 What is the smallest common multiple of 3414 and 6828? 6828 Find the common denominator of -113/2592 and 45/4388. 2843424 Find the common denominator of -37/55 and -157/594. 2970 Calculate the least common multiple of 177679 and 8. 1421432 What is the least common multiple of 6372 and 10620? 31860 Calculate the least common multiple of 388320 and 310656. 1553280 Calculate the common denominator of -41/11 and -8/26311. 289421 What is the common denominator of -1/143956 and -61/11832? 863736 Calculate the lowest common multiple of 7992 and 6966. 1030968 What is the smallest common multiple of 69356 and 16? 277424 What is the smallest common multiple of 14052 and 933? 4370172 Calculate the least common multiple of 333 and 993. 110223 What is the common denominator of -119/60 and -11/15618? 156180 Calculate the smallest common multiple of 24240 and 6060. 24240 What is the common denominator of 12/49 and 53/675388? 4727716 Find the common denominator of -17/310 and 42/775. 1550 Calculate the smallest common multiple of 2058 and 6174. 6174 What is the common denominator of -40/10143 and 55/1127? 10143 What is the least common multiple of 150966 and 36? 301932 Calculate the least common multiple of 1422 and 549. 86742 Find the common denominator of -35/31803 and 61/5. 159015 Calculate the lowest common multiple of 3825 and 250. 38250 What is the common denominator of -121/624 and 99/1688? 131664 What is the least common multiple of 136 and 11832? 11832 Calculate the common denominator of -27/55 and 53/365. 4015 Calculate the common denominator of 59/11508 and -53/28770. 57540 What is the common denominator of -29/29512 and 55/29512? 29512 What is the common denominator of -21/103 and 31/164? 16892 What is the smallest common multiple of 25288 and 18966? 75864 What is the common denominator of 79/11438 and 181/798? 34314 Calculate the smallest common multiple of 12 and 190040. 570120 Calculate the lowest common multiple of 3605 and 560. 57680 What is the smallest common multiple of 14775 and 200? 118200 Calculate the least common multiple of 512 and 6272. 25088 What is the lowest common multiple of 56 and 64876? 129752 Calculate the common denominator of -53/135 and 61/210. 1890 What is the common denominator of -71/21675 and 26/15? 21675 Calculate the smallest common multiple of 5316 and 944. 1254576 What is the smallest common multiple of 9855 and 4015? 108405 Calculate the common denominator of 29/16812 and -109/216. 100872 What is the common denominator of 9/10 and -41/180870? 180870 Calculate the smallest common multiple of 2055 and 1425. 195225 Calculate the lowest common multiple of 59 and 32155. 32155 Calculate the common denominator of -39/14 and -7/4608. 32256 What is the lowest common multiple of 32556 and 65112? 65112 Find the common denominator of 127/948 and 97/18012. 18012 What is the smallest common multiple of 4376162 and 12? 26256972 Calculate the common denominator of 191/76950 and 97/270. 76950 What is the common denominator of -64/91 and -41/1218? 15834 Calculate the lowest common multiple of 854 and 2443. 298046 What is the lowest common multiple of 874 and 3496? 3496 Calculate the least common multiple of 59472 and 3240. 2676240 Calculate the smallest common multiple of 81 and 16686. 16686 What is the lowest common multiple of 542479 and 1? 542479 Find the common denominator of 119/12 and -63/149656. 448968 Calculate the lowest common multiple of 25400 and 400. 50800 Calculate the lowest common multiple of 657 and 8370. 611010 Calculate the common denominator of -43/54060 and 93/2. 54060 Find the common denominator of 18/124451 and 6/485. 622255 What is the least common multiple of 156204 and 96? 1249632 Find the common denominator of -2/8135 and 119/200. 325400 Calculate the least common multiple of 243865 and 48773. 243865 Calculate the lowest common multiple of 6808 and 40. 34040 What is the smallest common multiple of 1645 and 6110? 42770 Calculate the lowest common multiple of 10575 and 15. 10575 Find the common denominator of -26/60155 and 113/40. 481240 Find the common denominator of -21/160 and -49/69024. 345120 What is the lowest common multiple of 6552 and 3276? 6552 What is the least common multiple of 129008 and 66? 387024 Find the common denominator of 9/257065 and -10/154239. 771195 What is the common denominator of -27/12824 and 82/63? 115416 Find the common denominator of -65/13959 and -39/22. 27918 Calculate the common denominator of -89/22040 and 151/4560. 132240 Calculate the common denominator of -99/438620 and 11/182. 438620 What is the common denominator of -109/182364 and 163/260520? 1823640 What is the common denominator of 17/28 and 18/1925? 7700 Calculate the smallest common multiple of 168 and 7350. 29400 What is the smallest common multiple of 10374 and 501410? 1504230 What is the common denominator of 43/1371800 and -93/722? 1371800 Calculate the smallest common multiple of 39 and 16429. 640731
{ "pile_set_name": "DM Mathematics" }
uppose 4*y + 0 = -44. Let m = -10 - y. Is m at most -1/3? False Let s = 8 - 4. Let u = -3 + s. Let f be -1 - 4/((-104)/30). Does u = f? False Let n be (-1)/(-7)*(-1 - 0). Let s = n + 1/56. Is s at most as big as -1? False Let l(z) = -5*z + 42. Let s be l(8). Is 10/11 bigger than s? False Suppose -5*c + 5 = -0*c. Which is greater: 13/9 or c? 13/9 Let v = 2/5 - 9/10. Let l = -2 + 0. Let c be ((-1 + -1)/l)/(-1). Which is smaller: v or c? c Suppose 2*h + b - 5 = 0, -5*b = -3*h - 15 + 42. Let g = 1 + h. Suppose -3 = -g*j + 2. Which is smaller: j or -2/25? -2/25 Let c be (23/(-5) - -4)/1. Which is bigger: c or -1? c Let k = 564 + -568. Let d be (-3 + 1)/(2/4). Does d = k? True Suppose -3*w - 2*r = 6, -4*w = w - 2*r + 10. Let t be w/(2 + 0/(-3)). Which is greater: 0 or t? 0 Let s = 0.4 + 0.6. Let v = s - 1.1. Which is smaller: v or 3? v Suppose 6 = 3*t + 9. Which is smaller: t or 4? t Suppose -5*u = -u. Let y be 40/12 - 2/(-3). Suppose 2*x + y*z + 8 = u, -x + 4 = 4*x + 2*z. Is x < 3? True Let r be (40/16)/(-2 - -1). Let c = -10 - -7. Is r greater than c? True Let x(p) = -p**3 - 12*p**2 + p + 8. Let y be x(-12). Let w = 3 + y. Do 2/17 and w have the same value? False Let h be (6/249)/((-2)/(-4)). Let y = -138/581 - h. Let c = -2 + 2. Is y greater than c? False Let f be 6/(-75)*7/2. Let i = -1/175 + f. Which is bigger: i or 1/2? 1/2 Let o(f) = f - 6. Let n be o(0). Is -4 < n? False Suppose -3*t + 7*l = 3*l - 4, 4*t = 5*l + 5. Let u(j) = j**2 - j - 2. Let o be u(t). Let f be -3*2/2 - o. Is f greater than or equal to 2/5? False Let z be 52/10 + (-2)/10. Suppose -z = -3*o + 1. Which is smaller: o or 1? 1 Let p(w) = w - 1. Let q be p(-4). Let j be 2/q + (-9)/(-15). Which is bigger: j or -1? j Let s = -0.1 - -0.5. Let c = -6 - -5.6. Let k = c + s. Is k <= 1/2? True Let s be 4/6 + (-130)/(-30). Which is bigger: s or 0.1? s Let w be 2*(20/(-8))/(-5). Let r be (-5)/45*(-8 + 2). Is w < r? False Suppose w - 3 = -2. Let h(n) be the second derivative of n**3/6 - 3*n**2/2 + 2*n. Let u be h(4). Do w and u have the same value? True Let h(v) = -v + 4. Suppose -o + l - 11 = -4*l, 0 = 2*o - 5*l + 7. Let q be h(o). Which is greater: 1/2 or q? 1/2 Suppose 2 = f - 3*f. Let m = 1 - f. Let b be (1 + 65/(-75))/(1/5). Is b less than m? True Let w(g) = 3*g**2 - 2*g + 1. Let u be w(1). Suppose 0 = d + u*d - 18. Let t be (4/(-3))/(d - 4). Is t smaller than 0? True Let v(m) = m**3 + 9*m**2 - 2*m - 6. Let f be v(-9). Let w be 10*3*2/f. Suppose -2*o = 2*u + 12, -2*u + w*o = u - 22. Which is smaller: u or 0? u Let c(o) = -5*o**2 - o - 4 + 6*o**2 - 3. Let j be c(0). Is j greater than or equal to -2/7? False Let t = 1.5 + 2.3. Let h = t - 4. Let f = -307/5 + 61. Is h greater than f? True Let m = -159 + 92. Is m equal to -67? True Let k be 1/(1/1) + -1. Do k and 1/5 have the same value? False Let p(b) = 3*b**2 - 5*b. Let k be (-4)/((-12)/(-15)) + 0. Let m be p(k). Let z = m + -801/8. Is z less than -1? False Let j be (-4)/(-6) + (-8)/18. Let m(v) = -5*v - 1. Let s be m(-1). Suppose s*h = -0*d - 4*d + 12, 4*h + 3*d = 10. Which is greater: j or h? h Let p = 8 - 4. Let r = p - 7. Let u = -5 - r. Do u and -2 have different values? False Suppose -4*h + 4*n - 12 = 12, -4*h - n = -1. Let j = h - -3. Suppose -4*k + 9 = -4*x - 7, k + 5 = -j*x. Is k > 2? False Let u = 6.7 - 7. Let g = 0.3 + u. Let s = -39 + 39. Are s and g non-equal? False Let b = -15 + 22. Let u = b - 7.2. Let r = -0.1 + 0.1. Which is greater: u or r? r Let d(l) = l**3 + 6*l**2 - 9*l - 14. Let u be d(-7). Which is greater: u or -6/59? u Let c be -2 - 3/(-33)*23. Is c not equal to 1? True Let i = -0.02 - -0.02. Let m = -5.5 - -0.5. Let t = m - -5. Is t less than or equal to i? True Suppose 2*d = -3*d - 10. Which is smaller: -1 or d? d Let y = -1/140 - -3/20. Let d be 4 - (0 + 0 + 1). Let m = -2 + d. Is y smaller than m? True Suppose 16 = -h - 28. Which is bigger: -43 or h? -43 Suppose -2*l - 38 = 4*m - 8*m, 4*l = -2*m + 34. Let y = m - 10. Is y less than or equal to 2/5? False Let i be 18/(-30) - (-32)/(-5). Which is bigger: i or -6? -6 Let r be -1 + -1 + (7 - 4). Let h be 1/9*(-4 - -2). Are r and h equal? False Let g = 104.28 + -105. Which is smaller: g or 1/2? g Let a be 27/12 + 2 + -4. Let m(b) = -b**2 + 9*b + 13. Let f be m(10). Suppose -5*k + 10 = -5*n, -k + f = -3*n - 3. Which is bigger: k or a? a Let t = -33 - -34. Which is smaller: t or 0? 0 Let o = -4.3 + -2.1. Which is smaller: o or -1? o Let j = -138/143 - -14/11. Which is greater: 0 or j? j Let a(j) = -3*j - 7. Let l be a(-2). Is l > -4/29? False Suppose 0 = 5*a + a + 6. Which is bigger: 0 or a? 0 Let r = 0.66 - -0.14. Is 0 greater than or equal to r? False Let g = 5 - 3. Let j = -2 + g. Let h(i) = -i - 2. Let l be h(-1). Which is greater: l or j? j Suppose -t - 14 + 0 = 4*u, -5*t + 14 = -u. Let b be (t + -1)/(1/(-1)). Let h be -3*3/(-630) - (-6)/21. Which is bigger: h or b? h Let b(r) = r - 6. Let p be b(7). Suppose f + p = -2. Which is smaller: f or -1? f Suppose 0 = 4*a - 3*a + 5*w + 16, -2*a - 2*w = 32. Which is smaller: -15 or a? a Let v(a) = -a + 18. Let l be v(7). Is l at most as big as 0? False Suppose x = 3*y + 5, 0 = -2*x - 3*y + 7 + 3. Let n = 133 - 259/2. Which is smaller: n or x? n Suppose -4*g = -2*f - 10, g - 13 = 2*f - 4*g. Which is smaller: f or 2/21? 2/21 Let y(k) = 5*k**2 + 17*k + 7. Let u(p) = 3*p**2 + 9*p + 3. Let n(q) = 7*u(q) - 4*y(q). Let d be n(6). Let v = 19/2 - 129/14. Is d bigger than v? False Let t = 18/5 - 167/45. Is t bigger than 1? False Let g be (-25 + 24)/(2/(-90 - 0)). Is 46 bigger than g? True Suppose 3*k = -0*k. Let l(y) = y - 5. Let n be l(5). Let h = n - 1. Which is bigger: k or h? k Suppose 0*t - 2*t = 0. Let k = -5 + 6. Is k at least as big as t? True Let s = -0.2 + 0.8. Let a = s - 6.6. Let t = a - -5.6. Which is greater: 0 or t? 0 Let q = 2.3 + -2. Let x = q + -0.3. Which is bigger: -0.02 or x? x Let s be 7/(-6) - (-4 - -3). Let m = -0.7 - -0.5. Let q = m - -0.1. Which is bigger: q or s? q Suppose -g = -2*r + 4, -4*r + 6*r + 8 = -5*g. Which is smaller: -1/98 or r? -1/98 Let f = 5.498 + -0.588. Let k = 0.81 - f. Let w = 4 + k. Which is smaller: w or 2? w Suppose -2*v - 2*n = 2*n + 12, -2*v + 4*n + 20 = 0. Let g = -6 + 12. Suppose -w = v*w - g. Is 0.1 < w? True Let f(z) = -z + 5. Let n(b) = 2*b + 2. Let h be n(2). Let d be f(h). Which is bigger: d or -1/4? -1/4 Let v = 18765/29 - 647. Let t = v + 25/58. Are t and 0.2 unequal? True Let t(v) be the second derivative of 0 - 1/4*v**4 - 1/20*v**5 + 0*v**3 + v**2 - 2*v. Let p be t(-3). Is p greater than 1/2? True Let h = 5 - -2. Suppose 36 = q + 3*q + 4*w, 0 = w - 4. Is h less than q? False Let h(z) = z**3 - z**2 + z + 10. Let w be h(0). Let c = w + 6. Let o = c + -47/3. Which is greater: -2 or o? o Let q be (12 + -15)*8/(-6). Are q and -8 non-equal? True Let k = -0.1 - -22.1. Let y = k - 22.6. Is y at least as big as -3? True Suppose 3 + 2 = -3*s + 2*g, 4*s = g. Which is smaller: -4/27 or s? -4/27 Suppose -4*h = -2*h. Which is greater: 1/3 or h? 1/3 Let o = 8 + -6. Let n = o - 1. Let d be (2 + (-6)/2)/n. Is d > -1? False Let v = 79 - 1186/15. Which is smaller: 0 or v? v Let x = 35 + -21. Suppose -5*q - 7 = -77. Do x and q have the same value? True Let o(l) = l**2 + l - 1. Let u be o(-2). Is u greater than or equal to -2/29? True Let r be ((-12)/(-9))/((-4)/(-30)). Suppose 4*x - 6*x + r = 0. Is 5 != x? False Let y = -209 + 107. Let l be 6064/y - (-4)/(-6). Let r = 60 + l. Which is greater: r or -1? r Let d be (-4)/6 - (-462)/612. Which is smaller: -1 or d? -1 Suppose 4 + 2 = -2*x. Let s be 8/x - 0 - 0. Let n = s + 59/21. Which is smaller: n or 1? n Suppose -3 = -8*b - 3. Which is smaller: b or -3/44? -3/44 Let q(s) = -s**2 + 7*s. Let f be q(7). Suppose -5 = -f*a - a. Let w be ((-2)/a)/((-1)/5). Is w smaller than -1? False Let s be 9/72 - 2/16. Let j be 9/(-15)*(-2)/(-4). Is j less than or equal to s? True Let s = -27 - -24. Is s bigger than -5/3? False Let r be 904/10 + 8/(-20). Suppose -2*v + r = 3*v. Let j be (4/(-10))/(v/(-15)). Which is smaller: j or 1? j Let v be (-26)/55 + (-7)/(-35). Which is greater: -1 or v? v Let c be (-3)/(-7) + (-3)/3. Let v be 3*((-16)/6 + 2). Do v and c have the same value? False Suppose -2*k + 0*k - 6 = 0. Let b be (0 - 8/4)/(-2). Let x be (-15)/5
{ "pile_set_name": "DM Mathematics" }
97989 for s. 72 Solve 73*d - 2181 = -1378 for d. 11 Solve 125*g + 1000 - 3159 - 7744 = 3347 for g. 106 Solve -1347*c - 15638 - 22078 = 0 for c. -28 Solve r - 66*r = -198*r - 5453 for r. -41 Solve 4522 = -1361338*f + 1361205*f for f. -34 Solve 0 = -458*d + 28500 - 8318 + 8214 for d. 62 Solve 220777 = -3062*a + 64615 for a. -51 Solve 17334 = -9249*s + 9463*s for s. 81 Solve g + 6*g - 169 = 10*g + 10*g for g. -13 Solve 7975*w + 5299*w + 285967 - 81847 = 1934*w for w. -18 Solve -523 = 283*u + 326 for u. -3 Solve -33686 = -161*o - 10663 for o. 143 Solve -2196*h = -1172*h + 1674*h - 277894 for h. 103 Solve -9055*i + 9306 = -9572*i for i. -18 Solve -489*m = -2278373 + 2235341 for m. 88 Solve 476*a + 437*a + 1551 = 866*a for a. -33 Solve 95425 = 1491*l + 11863 - 14844 for l. 66 Solve 155 = -11928*s + 11871*s - 2125 for s. -40 Solve -79100 = -377*n - 47809 for n. 83 Solve -704 + 1924 = 244*g for g. 5 Solve -7027 = -689*v + 135*v + 2391 for v. 17 Solve 1344*c = 2202*c + 1716 for c. -2 Solve 902123 = 7587*m + 75140 for m. 109 Solve -2301*q + 908 - 11859 - 11619 = -6463 for q. -7 Solve -175*m - 2730 = 24*m - 4*m for m. -14 Solve -37220 + 174395 = -4425*y for y. -31 Solve -338*i - 1897 = 493*i - 458 + 2716 for i. -5 Solve -3043*c + 1126158 = 14020*c for c. 66 Solve 2150 = 1049*u - 1099*u for u. -43 Solve 54698 = -1128*w - 502*w - 175132 for w. -141 Solve -1575*w + 13923 = -1933*w - 29753 for w. -122 Solve 363*k + 53*k - 31875 = -77219 for k. -109 Solve -1011*j - 193*j - 31582 - 22598 = 0 for j. -45 Solve 42*v = -1790812 + 1789636 for v. -28 Solve -51*x - 6017 = 63*x + 99*x - 692 for x. -25 Solve -139172 = -40337*w + 46663*w for w. -22 Solve -1944*s = 2152*s - 3913*s - 1647 for s. 9 Solve -728*m = -624*m - 2808 for m. 27 Solve 467 = -508*x - 84*x - 1901 for x. -4 Solve -19803*r + 20895*r - 43098 = -130458 for r. -80 Solve -13964 + 58868 = 236*t + 21068 for t. 101 Solve 151*w + 12*w + 396 = 181*w for w. 22 Solve -6138 - 3049 = -72*n - 28*n - 2787 for n. 64 Solve 557 = 362*d - 381*d - 393 for d. -50 Solve 820931*b + 172 = 820927*b for b. -43 Solve -7838 = 268*m - 1125*m + 5874 for m. 16 Solve -616*p - 924 = -588*p for p. -33 Solve 537*b + 14865 - 15122 = 18754 + 49188 for b. 127 Solve 21546*y + 9860 = 21206*y for y. -29 Solve 0 = -33*v + 649 + 896 - 258 for v. 39 Solve -1242*n - 9809 = -665*n for n. -17 Solve -31*m - 3081 = 23*m - 381 for m. -50 Solve -206544 = 1566*d + 211*d + 1723*d + 472*d for d. -52 Solve 39*g - 62 = 14*g + 23*g for g. 31 Solve 249*f - 11010 = 30*f - 771*f - 111*f for f. 10 Solve 8768*j + 210373 = -8827 for j. -25 Solve 460853*f - 460827*f = 1066 for f. 41 Solve 325*y - 362*y + 90220 = 657*y for y. 130 Solve 0 = -531*v + 3813*v - 118152 for v. 36 Solve 195 + 17895 = 140*i + 2270 for i. 113 Solve 196*f + 3798 = -1070*f for f. -3 Solve -27086 - 11914 = 1500*k for k. -26 Solve 28285 + 34768 = 3465*l - 20107 for l. 24 Solve 208*a - 10896 = -69*a - 631*a for a. 12 Solve 366*g + 305*g - 36192 = -83*g for g. 48 Solve 438*r + 2420 = -19480 for r. -50 Solve 57356 = 140*u + 63656 for u. -45 Solve -116*f + 9850 = -775*f - 2029*f - 7162*f for f. -1 Solve 0 = 10965*x - 10999*x - 2414 for x. -71 Solve 634*b - 7844 + 445 = -4*b + 11741 for b. 30 Solve -6354*m = -1195*m - 92862 for m. 18 Solve -7258 - 282 + 1008 = -284*f for f. 23 Solve -1110 - 2202 = 69*k for k. -48 Solve -90*q = 308*q - 1230 - 476 + 114 for q. 4 Solve -1167*c = -390*c - 364*c - 361*c - 4160 for c. 80 Solve 109*h - 54*h + 5406 = -263*h for h. -17 Solve -28760*z + 28891*z - 814 - 5212 = 0 for z. 46 Solve -665*b - 431*b - 78936 = -71*b + 769*b for b. -44 Solve 26*v - 1925 + 3183 = -20*v + 12*v for v. -37 Solve -936*i = -8043*i - 8385*i + 3802*i + 198730 for i. 17 Solve 0 = -257*d + 706*d - 32328 for d. 72 Solve 330019*j + 2900 = 330135*j for j. 25 Solve -30071*q + 31000*q + 49237 = 0 for q. -53 Solve -71263 = 10018*o + 169169 for o. -24 Solve -2244*w - 47126 = 2268*w + 2096*w + 5738 for w. -8 Solve k - 308 = 14*k + 31*k for k. -7 Solve 7777*w + 258570 = 2707*w for w. -51 Solve 24462*y = 2338757 - 186101 for y. 88 Solve 1649 + 1904 = 97*r + 709 + 225 for r. 27 Solve -172*d + 47*d - 1842 = 1908 for d. -30 Solve 5061*x - 1849952 = -12727*x for x. 104 Solve 127*o - 253*o + 209 = 83*o for o. 1 Solve -23542*p + 22440*p + 79344 = 0 for p. 72 Solve 1860 = -196*n + 183 - 2243 for n. -20 Solve 527*w + 86880 = 1975*w for w. 60 Solve 26250 = -1718*d - 342*d - 565*d for d. -10 Solve -217*j - 6388 = -3133 for j. -15 Solve 0 = -915*u + 974*u + 2360 for u. -40 Solve -1023*j + 1310 = 11540 for j. -10 Solve 826*v + 455*v + 30121 = 658 for v. -23 Solve 76376 + 96381 = -1781*v for v. -97 Solve -317*g + 2955 = -425*g + 10947 for g. 74 Solve -4228*o + 6311*o + 35411 = 0 for o. -17 Solve -256*b = 135*b + 1484*b + 103125 for b. -55 Solve 356*w + 918*w - 2482 = 3888 for w. 5 Solve -6720*h + 2432 = -6644*h for h. 32 Solve 4602*p = 2306 - 200192 for p. -43 Solve 0 = -3544*h + 7591*h + 4703*h + 157500 for h. -18 Solve -17461 = -471*h + 8121 + 3620 for h. 62 Solve -12109*v + 51418 - 507347 = -155538 + 341386 for v. -53 Solve 766*k + 4600*k - 84204 = -223720 for k. -26 Solve 1560 + 2027 = 32*z + 56*z - 3189 for z. 77 Solve -1520*h = -3008*h + 1588*h + 9000 for h. -90 Solve 26191*t = 24382*t - 28944 for t. -16 Solve 102*g - 105*g = 168*g - 855 for g. 5 Solve 25357 = -57*x + 22564 for x. -49 Solve -175*b - 70*b + 84*b + 2*b = -8268 for b. 52 Solve 1546*x - 1790*x = 5612 for x. -23 Solve -1226*r = -451 + 54395 for r. -44 Solve -62394*z = -62405*z + 506 for z. 46 Solve 181*z + 1481 = 209 - 688 - 4375 for z. -35 Solve 346*j + 24945 + 41212 = -520*j + 25455 for j. -47 Solve -9929 - 613 = -209*f + 1529 + 1932 for f. 67 Solve -207*k - 265*k = 132*k - 7248 for k. 12 Solve 1223*l - 28344 = 75*l - 1214*l for l. 12 Solve 4219 + 3010 = 318*z + 1823 for z. 17 Solve -9*b - 68*b - 723 = -9*b - 3443 for b. 40 Solve -1159*g + 228*g - 68472 - 25192 = -24770 for g. -74 Solve -1012 - 72 - 266 = -38*i + 360 for i. 45 Solve -4583*s = -7705*s + 455812 for s. 146 Solve 55*c - 352 - 377 = -98*c + 189 for c. 6 Solve 46169645*b - 46169736*b = 10647 for b. -117 Solve 0 = 4059*k - 2038*k - 2030*k - 216 for k. -24 Solve 3856*x - 4009*x - 2081 = -1722 - 4949 for x. 30 Solve -29*m - 52*m = 116*m - 2364 for m. 12 Solve 25341*k = 3030*k - 22870*k + 6460883 for k. 143 Solve 1326 = -373*i - 2031 for i. -9 Solve 8944*n - 1328*n + 46514 - 818 = 0 for n. -6 Solve 348*n + 267*n - 50517 + 7858 - 10846 = 0 for n. 87 Solve -14326*w + 13452*w = 8740 for w. -10 Solve -82*r = 1218 + 1445 - 531 for r. -26 Solve 13581 = 2337*u - 29328 - 8505 for u. 22 Solve 2854*k - 14358 = 42722 for k. 20 Solve 3566*s - 147157 = 6697*s for s. -47 Solve 0 = 1488*a + 1090*a + 2330 - 66886 - 100436 for a. 64 Solve 199*r - 399*r - 1463 = -110*r + 337 for r. -20 Solve -11*z + 629 = 59*z - 1751 for z. 34 Solve 883*h = -717*h + 110400 for h. 69 Solve 0 = -79*g + 399*g + 1723*g + 51075 for g. -25 Solve 615*v + 126 + 486 = 579*v for v. -17 Solve 15*l + 23*l + 80 - 118 = 0 for l. 1 Solve -296*c + 12852 = -810*c - 242*c for c. -17 Solve -4661*p + 925840 = 8379*p for p. 71 Solve -6291 - 2157 = 335*y - 653 + 3595 for y. -34 Solve 0 = -69*n - 47*n + 801181 - 789465 for n. 101 Solve 49*i = -15*i + 1989531 - 1994907 for i. -84 Solve 0 = -3639*f + 3817*f - 7298 for f. 41 Solve 1086*r + 409*r - 46932 - 2964 = 109*r for r. 36 Solve -1062*p = -5756*p - 328580 for p. -70 Solve 698 = 4458*p - 302446 for p. 68 Solve -145874 = 850*l - 117824 for l. -33 Solve -17724 = 30*x - 19104 for x. 46 Solve 396792 = 3471*r - 7145*r for r. -108 Solve -871*q + 704 = -915*q for q. -16 Solve 313*r = -177*r + 623*r - 1606 - 1586 for r. 24 Solve 64797735*s = 64797703*s + 4704 for s. 147 Solve -55*m + 3574 - 1264 = 0 for m. 42 Solve -621*p + 5001*p - 494*p - 187702 = -626820 for p. -113 Solve -62*l - 155*l = -121*l + 158*l - 13970 for l. 55 Solve 638*r + 740*r + 689*r + 14112 = 2214*r for r. 96 Solve -1362*s - 26314 = 1134*s + 13622 for s. -16 Solve -4658*x = -4542*x - 7772 for x. 67 Solve 94*g - 1797 = 1380 + 1241 for g. 47 Solve 59 - 512 - 701 = -142*h + 266 for h. 10 Solve 0 = 9286*z + 160442 + 1148884 for z. -141 Solve 0 = -3*i + 261*i + 4171 - 14749 for i. 41 Solve 7316267*h + 6210 = 7316357*h for h. 69 Solve 2191
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from {j: 6, v: 4}. 4/15 Calculate prob of sequence ltl when three letters picked without replacement from syktttlklklyytyysss. 4/969 Calculate prob of sequence bn when two letters picked without replacement from bnbbbbnnbnb. 14/55 Three letters picked without replacement from {s: 4, o: 2, v: 1, w: 1, r: 1}. What is prob of sequence vwr? 1/504 Two letters picked without replacement from {j: 4, r: 2}. Give prob of sequence jj. 2/5 Two letters picked without replacement from zzzjaaz. What is prob of sequence aa? 1/21 Calculate prob of sequence noob when four letters picked without replacement from {n: 1, b: 1, o: 2}. 1/12 Two letters picked without replacement from xtyxynxrytuxtxtyy. Give prob of sequence xu. 5/272 Calculate prob of sequence hg when two letters picked without replacement from {y: 2, a: 3, h: 1, g: 1}. 1/42 Four letters picked without replacement from tottchbbththhhqcctct. Give prob of sequence ohhh. 1/1938 Calculate prob of sequence wqbr when four letters picked without replacement from qrfqwfqwrqbwqrwrqqq. 4/2907 What is prob of sequence ubb when three letters picked without replacement from bmmubmbumm? 1/60 Calculate prob of sequence yhbl when four letters picked without replacement from hhblby. 1/90 Four letters picked without replacement from {l: 2, h: 10}. Give prob of sequence lhhh. 4/33 Calculate prob of sequence fjjf when four letters picked without replacement from {j: 2, f: 2, x: 5}. 1/756 Calculate prob of sequence rr when two letters picked without replacement from rgrrggrrrr. 7/15 Two letters picked without replacement from dnbswdsodssdonn. Give prob of sequence ob. 1/105 Calculate prob of sequence oxk when three letters picked without replacement from {o: 1, x: 1, k: 2, l: 1, u: 1, h: 1}. 1/105 Four letters picked without replacement from zzbzzbzb. Give prob of sequence zbzb. 1/14 Two letters picked without replacement from {a: 2, z: 12, r: 2, f: 2, c: 1}. What is prob of sequence ar? 2/171 What is prob of sequence mmm when three letters picked without replacement from {z: 2, m: 10}? 6/11 What is prob of sequence wwrr when four letters picked without replacement from {w: 4, r: 3}? 3/35 Calculate prob of sequence qy when two letters picked without replacement from tetwteqeqwfywyfw. 1/60 Calculate prob of sequence bcb when three letters picked without replacement from {c: 5, b: 2}. 1/21 Three letters picked without replacement from {j: 1, n: 2, s: 1, z: 2, m: 1}. What is prob of sequence msj? 1/210 What is prob of sequence ied when three letters picked without replacement from {i: 3, e: 1, d: 1, h: 1, y: 1}? 1/70 What is prob of sequence wf when two letters picked without replacement from {w: 2, f: 2, s: 11}? 2/105 Three letters picked without replacement from {h: 3}. What is prob of sequence hhh? 1 Calculate prob of sequence dpy when three letters picked without replacement from {w: 5, p: 2, d: 1, g: 1, y: 1}. 1/360 Four letters picked without replacement from {p: 4, v: 4, n: 3}. What is prob of sequence vppv? 1/55 What is prob of sequence uw when two letters picked without replacement from {w: 1, u: 1, i: 3, f: 1, p: 1}? 1/42 Calculate prob of sequence rb when two letters picked without replacement from {b: 2, j: 4, v: 1, r: 4}. 4/55 Calculate prob of sequence hdhs when four letters picked without replacement from shssshdh. 1/70 Two letters picked without replacement from {p: 1, x: 4, f: 11, k: 1}. What is prob of sequence fx? 11/68 Three letters picked without replacement from {r: 5, q: 11}. What is prob of sequence rrr? 1/56 Calculate prob of sequence hm when two letters picked without replacement from hghmg. 1/10 Two letters picked without replacement from zllddaeaeelala. What is prob of sequence ed? 3/91 Two letters picked without replacement from {e: 2, s: 1, u: 1, x: 2, r: 2, t: 1}. Give prob of sequence rx. 1/18 Three letters picked without replacement from {n: 1, y: 1, a: 2, w: 1, p: 1, s: 1}. What is prob of sequence pwn? 1/210 What is prob of sequence dpr when three letters picked without replacement from {r: 2, q: 1, p: 2, d: 1}? 1/30 What is prob of sequence jzft when four letters picked without replacement from {z: 2, m: 2, f: 1, t: 1, j: 1, b: 1}? 1/840 Calculate prob of sequence zww when three letters picked without replacement from zwwzzzwwwwwzzwzzwzz. 40/323 Four letters picked without replacement from {j: 7}. Give prob of sequence jjjj. 1 Calculate prob of sequence ggs when three letters picked without replacement from {g: 2, h: 2, s: 1}. 1/30 Calculate prob of sequence zg when two letters picked without replacement from {r: 3, z: 1, g: 2, s: 1}. 1/21 Three letters picked without replacement from {d: 2, t: 2, o: 4}. Give prob of sequence tdt. 1/84 Calculate prob of sequence hhgg when four letters picked without replacement from {g: 9, h: 3}. 2/55 Three letters picked without replacement from nzznraqr. Give prob of sequence rqa. 1/168 What is prob of sequence vz when two letters picked without replacement from {z: 5, t: 2, v: 4}? 2/11 Four letters picked without replacement from {z: 3, g: 1, v: 2, y: 3, l: 4, m: 2}. What is prob of sequence mgyy? 1/2730 What is prob of sequence ee when two letters picked without replacement from ehhhehxe? 3/28 Two letters picked without replacement from rrkrereeerrrrekr. What is prob of sequence ek? 1/24 What is prob of sequence tmt when three letters picked without replacement from {b: 2, m: 1, f: 4, t: 9}? 3/140 Three letters picked without replacement from {u: 3, a: 5, d: 2, w: 5, m: 1}. Give prob of sequence dmu. 1/560 What is prob of sequence ow when two letters picked without replacement from {w: 2, o: 5, g: 7}? 5/91 Two letters picked without replacement from bblllbtb. What is prob of sequence tb? 1/14 Calculate prob of sequence gfr when three letters picked without replacement from {g: 2, f: 7, r: 1}. 7/360 Four letters picked without replacement from {m: 1, u: 1, q: 4, v: 1, h: 1}. What is prob of sequence vmqu? 1/420 What is prob of sequence zt when two letters picked without replacement from {l: 2, w: 3, m: 2, z: 3, t: 10}? 3/38 What is prob of sequence ppy when three letters picked without replacement from yccpdcpwypccy? 3/286 Calculate prob of sequence ef when two letters picked without replacement from {f: 2, e: 5}. 5/21 Two letters picked without replacement from wonvn. What is prob of sequence ov? 1/20 Two letters picked without replacement from {e: 1, t: 1, w: 1, r: 1, u: 2, n: 1}. What is prob of sequence wr? 1/42 Three letters picked without replacement from kkgjkgkkjgkggkk. What is prob of sequence jjg? 1/273 Three letters picked without replacement from qklqtlkkkqqkk. Give prob of sequence qqq. 2/143 Four letters picked without replacement from {n: 5, g: 1, a: 1, b: 10}. Give prob of sequence bnbn. 15/476 Calculate prob of sequence vxd when three letters picked without replacement from bkkxkdkkvvkdbbkkdxv. 1/323 What is prob of sequence qiii when four letters picked without replacement from iiiiiqqiiiii? 4/33 Two letters picked without replacement from {m: 1, v: 5, q: 2, x: 8}. Give prob of sequence vq. 1/24 Three letters picked without replacement from hokuwowwwwkw. Give prob of sequence kwo. 1/55 What is prob of sequence ntn when three letters picked without replacement from ttnntttttt? 1/45 What is prob of sequence yd when two letters picked without replacement from {h: 1, r: 1, s: 2, i: 2, y: 2, d: 1}? 1/36 Three letters picked without replacement from zzczrrzzkokcrrizi. What is prob of sequence ocz? 1/340 Two letters picked without replacement from hgg. What is prob of sequence gg? 1/3 Three letters picked without replacement from ssvvksssskss. What is prob of sequence kkv? 1/330 Three letters picked without replacement from {m: 2, d: 4}. What is prob of sequence ddm? 1/5 Three letters picked without replacement from uiieujjjehikkiue. Give prob of sequence keh. 1/560 Two letters picked without replacement from {t: 4, p: 2, r: 1, z: 1}. What is prob of sequence pt? 1/7 Three letters picked without replacement from {g: 7, b: 2, p: 1}. Give prob of sequence pbb. 1/360 What is prob of sequence sxs when three letters picked without replacement from {o: 1, x: 2, w: 1, s: 2, a: 1}? 2/105 Three letters picked wit
{ "pile_set_name": "DM Mathematics" }
2 + 90*t Expand 370 - 202 - 169 - 390*f + (-f + 0*f + 3*f)*(-2 + 1 + 2) + 1 - 1 + 2*f. -386*f - 1 Expand (2 - 6 + 3)*(-1 - 21 - 11)*((-1 + 0 + 0)*(0*f - 3*f + 4*f) + 5*f - 4*f - 3*f + (2*f - 2*f + 2*f)*(-2 - 1 + 6)). 99*f Expand (0*o**2 - o**2 - 6*o + 0*o**2)*(-1 - 16 + 7)*(-13*o - 2 - 40 + 18*o). 50*o**3 - 120*o**2 - 2520*o Expand 38*q**3 + 55*q - 55*q + (3 - 1 - 1)*(0 + q**3 + 0) - 2*q**3 - 3*q**3 - 10*q**3. 24*q**3 Expand (-1150 - 33 - 294)*(-2*o - 2 + 2)*(-14 + 8 - 23). -85666*o Expand (3*o**4 - o**4 + 0*o**4)*(-1 - 1 + 1)*(274*o - 85*o + 67*o). -512*o**5 Expand (-2 + 2 + 2*d)*(-3 + 3 - 2*d) + d**2 + d**2 - 3*d**2 + (-20*d + 9*d + 63*d)*(-8*d + 2 - 2). -421*d**2 Expand (750*d + 1209 - 1209)*(6*d - 49*d + 37 - 38). -32250*d**2 - 750*d Expand (-3 - 4*k + 3 + (0 - 1 + 0)*(1 + k - 1) + 13 - 23 + 11 + 7*k)*(0*k - k + 2*k)*(0 - 1 + 3). 4*k**2 + 2*k Expand (0*m**2 - 2*m**2 + 0*m**2)*((-2*m - 4*m + 0*m)*(-1 + 0 + 0) - 53*m + 16*m + 12*m). 38*m**3 Expand -3 + 3 + m**2 + (2*m + 2*m - 2*m)*(-m - m + 3*m) - m + m + 3*m**2 + (-2*m + 0 + 0)*(-3*m + 3*m - 4*m) - 11 - 15 + 24 + 41*m + m**2. 15*m**2 + 41*m - 2 Expand (-2 + 2 + 2*h**2)*(2 - 2*h**3 - 2) - h**3 + 2*h**5 + h**3 + 40 - 1689*h**5 - 289 + 44 + 205. -1691*h**5 Expand 2*c**5 - c**5 - 2*c**5 + (-183*c + 336*c + 332*c)*(-4*c**4 + c**4 + 5*c**4) + (3 + c - 3)*(-c**4 + 2*c**3 - 2*c**3). 968*c**5 Expand (-37 + 8*j + 37)*(j**3 + 3*j**3 - j**2 + 3*j**2) + (-3*j**3 + 4*j**3 - 14*j**3)*(-2*j + 0*j + 0*j). 58*j**4 + 16*j**3 Expand (p - 2*p + 2*p)*((-5*p + 2*p + 0*p)*(1 + 2 - 5)*(-6 + 3 + 1) - 96*p + p + 174*p)*(-206 - 24*p + 206). -1608*p**3 Expand -2306*j**4 + 761*j**4 + 523*j**4 + (-3*j**3 + 7*j**3 + j**3)*(-3*j - 3 + 3). -1037*j**4 Expand (3 + 0 + 0)*(-5*b**2 + 4*b**2 + 0*b**2) + (0 + 3 + 0)*(-39*b - 144*b**2 + 39*b). -435*b**2 Expand (0 + 0 - 2)*(-5*s**2 + 60*s**2 + 64*s**2)*((-2*s + 0*s + 0*s)*(s + 2 - 2) - 1 + 1 + s**2 + 5*s**2 - 9*s**2 + 0*s**2). 1190*s**4 Expand (9143*n**2 + 650*n - 9142*n**2 - 134*n)*(9*n + 3*n**2 + 71 - 71). 3*n**4 + 1557*n**3 + 4644*n**2 Expand -6356*x**3 + 10396*x**3 - 6517*x**3 + (x**2 - 4*x**2 + 5*x**2)*(-2 + 2 + x). -2475*x**3 Expand (-1 - 2 + w + 5)*(2 - 2 + 2*w + 3 - 3 - w + 3*w + 0*w - 5*w - 3 - w + 3 + (w - 4*w + 5*w)*(-2 - 1 + 4) + 2*w - w - 4*w) - 74*w**2 - 174*w + 174*w. -77*w**2 - 6*w Expand (-155 - 223 + 35)*(1 - 4 - 4)*(3 - 2 + 1)*(3*a + 3*a - 3*a). 14406*a Expand (-3*l + 3*l - l**2)*(-3*l - l + 6*l) + l**3 - 10*l**2 + 10*l**2 + 2 - 2*l**3 - 2 + 18*l**3 - 70*l**2 + 70*l**2. 15*l**3 Expand (-4 + 2*u + 4)*(-5*u - 15 + 6*u + 0)*(4*u**3 - 15*u**3 - 8*u**3 + (-2*u + 3 - 3)*(-2*u**2 + 0*u**2 + u**2)). -34*u**5 + 510*u**4 Expand (-221 - 104 + 137 - 360)*(-v - v + 5*v). -1644*v Expand (-f**3 - 2*f**3 + 2*f**3)*(-4*f**2 + 2*f**2 - f**2) - 147*f + 93*f + 79*f - 4*f**5. -f**5 + 25*f Expand (5*p - 3*p - p)*(-2*p + 2 - 3 + 7) - 28*p**2 + 10*p**2 - 118*p**2. -138*p**2 + 6*p Expand (-1 + 7 - 4)*(3674*v + 2693*v + 774*v + 523*v + 8469*v). 32266*v Expand (0*a + 2*a**2 + 0*a)*(-35*a**2 + 34*a**2 + 2*a**2 - 203). 2*a**4 - 406*a**2 Expand 602*o - 91*o**5 - 173*o**5 - o**3 - 89*o**5 + 354*o**5 + (-1 + 1 - 1)*(-5*o**5 + o**5 + 2*o**5) - 2*o**4 + o**5 + 2*o**4. 4*o**5 - o**3 + 602*o Expand -4*f + 3*f + 5*f + 3 - 4*f - 3 + (6 - 1 - 3)*(815*f + 17 - 32 + 13). 1630*f - 4 Expand 111 + 18*s**2 - 111 + (0*s**2 - 4*s**2 + 0*s**2)*(3 + 2 - 2). 6*s**2 Expand 7*f - f - f + (1 + 1 - 4)*(3*f - f - 4*f + (f - 2*f - f)*(0 + 1 + 0) - 29*f - 28*f - 2*f). 131*f Expand 23 + h**2 + 0*h**2 + 25 - h**2 - 2*h**2 + 9*h**2 + (-2 + 1 + 3)*(8*h - 8*h + 4*h**2) + 4*h**2 + 0*h**2 - 5*h**2. 14*h**2 + 48 Expand 0*z**4 + 5*z**4 - 3*z**4 - z**3 + z**3 - 2*z**4 + (-z - 3*z - 4*z)*(2 + z**3 - 2) - 31*z**3 + 58*z**3 - 50*z**3 + z**4. -7*z**4 - 23*z**3 Expand 926*l - 29*l**4 - 926*l + (-6*l - 4 + 4)*(0 - 1 + 3)*(-6*l**3 + l - l). 43*l**4 Expand (4 - 1 - 1)*(-226*c**2 + 978*c**2 + 130*c**2)*(c**3 + 0*c**3 - 4*c**3). -5292*c**5 Expand (-w**3 + 0*w**3 - w**3)*(3 - 8*w - 3)*(1 - 1 + 2 + (1 - 7 + 7)*(-1 - 3 + 6) + 1 + 3 + 1). 144*w**4 Expand (3 + 3 - 1)*(-2*o - 30 + 18 + 14) - 2*o - 4*o - 2*o. -18*o + 10 Expand (2 - 1 + q + 1)*(-2*q**3 + 3*q**2 - 3*q**2)*(-18074 + 1424*q + 18074). -2848*q**5 - 5696*q**4 Expand 2*q**5 + 1 - 1 + (-3*q**4 + 7*q**5 + 3*q**4)*(-36 + 64 + 176). 1430*q**5 Expand (5*q - 6*q + 2*q)*(0 - 2 + 0) - 4*q + 3*q + 0*q + q + 2*q - 2*q + (-43 + 33 - 38)*(2*q - q + 6*q). -338*q Expand (-4*n - 3*n + 5*n)*(-13781 + 13229590*n + 1123 - 13229588*n - 28). -4*n**2 + 25372*n Expand (3*v - v + 0*v)*(1 - 2*v**2 - 5 + 7 - 56 + 56 - 4*v**2 + 3*v**2 - 2*v**2 - 3*v**2 + (-2*v + v**2 + 2*v)*(4 - 1 - 2)). -14*v**3 + 6*v Expand (13*j + 9*j - 30*j)*((0 + 0 + 1)*(-2*j + 2*j + 2*j**2) + (-2*j + 4*j - 3*j)*(0*j + 0*j + 2*j) + j + j**2 - j)*(-2*j + j + 4*j). -24*j**4 Expand (14*o + 13*o - 14*o)*(2 - 4 - 2) - 3*o + 2*o + 0*o + (-1 + 1 + o)*((3 - 5 + 0)*(1 - 3 + 1) - 3 + 3 + 4)*(0 + 2 - 3). -59*o Expand (13*k + k - 3*k)*(0*k + k - 2*k)*(45*k**2 + k + 41 - 48*k**2 - 2*k). 33*k**4 + 11*k**3 - 451*k**2 Expand (1469*z - 1496*z - 117 + 44)*(2*z - 2*z + z). -27*z**2 - 73*z Expand (-6*n + 3*n + 2*n + n + 2*n - 2*n + (0 - 3 + 1)*(-n - 1 + 1) - 5*n + 2*n + 4*n)*(-490*n - 7 + 854*n - 420*n). -168*n**2 - 21*n Expand (4*i - i + 0*i)*(3615*i**3 - 1998027 + 1998027 + (-2 + 2*i + 2)*(-i**2 - 2 + 2)). 10839*i**4 Expand (-1 + 4 - 5)*(-z**3 - 7 + 8045*z - 8051*z - 11). 2*z**3 + 12*z + 36 Expand 4*a + 5*a + a + (1 + 2 - 5)*(a - 4*a - 5*a) - a + 0*a + 0*a + (0*a - 3*a + 2*a)*(-3 + 2 - 1) + 0*a + a + 0*a + 2*a - 3*a + 0*a. 27*a Expand (28 - 28 + 6*l)*(11*l**2 - 12 + 12 + (0*l - l + 2*l)*(1 + 2*l - 1)). 78*l**3 Expand -2*x**5 + x**5 - 2*x**5 + (2 - 2 + 2*x)*(-1 + 1 + 2*x**4) - 98*x - 34*x + 0*x**5 + 2*x**4 + 5*x**5. 6*x**5 + 2*x**4 - 132*x Expand (-3 - 2 + 15)*(-956*h - 3 + 455*h + 434*h). -670*h - 30 Expand (15160337 - 15160337 - 790*l)*(-6*l + 2*l + 3*l)*(0*l + 6*l - 2*l). 3160*l**3 Expand 12*n - 12*n + 4*n**2 + (-25 - 32 + 77)*(-4*n**2 - n**2 + 4*n**2). -16*n**2 Expand -73354 - 6*d + 73302 + 2*d - 4 - 3*d + 4 + (1 - 1 - 2*d)*(1 - 3 + 3). -9*d - 52 Expand (-6*o - 1 + 0*o - 4 + 3*o)*(-1258 + 1258 + 375*o). -1125*o**2 - 1875*o Expand (20 + 14 + 23)*((-3 + 1 + 0)*(-q + 0*q - q) + 36 + 3*q - 36). 399*q Expand -81 + 81 + 7*c + (-815 - 35*c + 815)*(-1 - 3 + 6). -63*c Expand -3*z**5 + z**5 - 14*z**5 + 1093*z**4 - 1093*z**4 - 28*z**5 + (z + z**3 - z)*(0*z**2 + 0*z**2 + z**2). -43*z**5 Expand (-9*y**3 - 78*y**3 - 79*y + 83*y)*(-y + 2*y + y + (-4 + 1 + 0)*(-2 - 2*y + 2))*(2 - 2 - 3). 2088*y**4 - 96*y**2 Expand 4*j**5 + 4*j**5 - 6*j**5 + (-2*j**3 + 2*j**3 + 2*j**3)*(-3 + 2*j**2 + 3) - 3*j**5 - 6*j + 6*j - 22*j**5 - 16*j**5 - 32*j**5. -67*j**5 Expand (-p + 3*p - p)*(-5 - 2 + 5)*(622 + 2323 - 443 + 2049). -9102*p Expand (2*c - 23*c - 2*c)*(-15*c + 25 - 25 + c + 2*c - 4*c + (-3 + 0 + 1)*(-2 + 2 - 2*c) + 2*c - 5*c + 4*c - c + 0 + 0). 276*c**2 Expand (0*j - 6*j + 2*j)*(-24 + j + 24)*(5 - 9 + 0). 16*j**2 Expand (5*j**3 - 4*j**3 + 5*j**3)*(71 - 71 + 379*j**2) - 2*j**3 + 3*j**5 + 0*j**3 - 5*j**5. 2272*j**5 - 2*j**3 Expand (434293 - 1941*u**2 - 434293)*(2*u + 0*u + 0*u)*(-4*u**2 + 5*u**2 + 11*u**2). -46584*u**5 Expand (-2 - 2 + 2)*(4556*w - 9989*w - 13233*w)*(-3*w - 2 + w + 1). -74664*w**2 - 37332*w Expand (-44*r**3 + 63*r**3 + 63*r**3)*(-18 - 3 + 7)*(4 + 5 + 2 - 4). -8036*r**3 Expand 17*f - 22*f**2 - 17*f + (-3*f**2 + 2*f**2 + 0*f**2)*(-2 - 1 - 1). -18*f**2 Expand -287*w**3 - 12972*w + 12972*w + (-4 + 0 + 1)*(-3*w**3 - 2*w**3 + 3*w**3). -281*w**3 Expand (4 + 2*d**2 - 4)*(2 - 3*d - 2) - 2*d**3 + 0*d**3 + 3*d**3 + (6*d**2 + 3 - 3)*(-4*d - 5 + 5) + (-2*d - 2 + 2)*(d**2 + d - d). -31*d**3 Expand (19 + 26 + 26)*(161*p + 25*p + 199*p)*(-p**2 - 1 + 1). -27335*p**3 Expand 7*n**5 + 8*n**5 - 7*n**5 + (-4*n + n + 2*n)*(-6*n**4 + n**4 + 0*n**4) + 0*n**5 - 2*n**4 - n**4 - n**5. 12*n**5 - 3*n**4 Expand (2 - 2 + 3*a)*(30*a**2 + 60*a**2 + 2*a**2) + 0*a**3 - a**3 + 2*a**3 - 4 + 4 - 3*a**3. 274*a**3 Expand (150*l**2 + 39*l**2 - 5*l**2)*(2*l**3 - 2*l**3 - l**3 - l**2 + 2*l**3 + l**2 + (3 - 1 - 3)*(5*l**3 - l**3 - 5*l**3)). 368*l**5 Expand (-5*c + c - 18*c)*(3*c**2 - 2*c**2 + 99 - 98 - 6*c**3). 132*c**4 - 22*c**3 - 22*c Expand (14 + 7*l - 14)*(-2*l - l + 5*l)*(-239*l - 35*l + 39*l). -3290*l
{ "pile_set_name": "DM Mathematics" }
)). 12/5 What is (900930/(-944))/(-509)*4/15? 1/2 What is the value of ((144/(-486))/(5/(-5)))/4? 2/27 Calculate ((-208)/(-36))/(3212/2409). 13/3 Evaluate (9/(-6)*22/99)/(5*5/2400). -32 (-3)/(2/1*126/(-924)) 11 Calculate (63/(-5))/(127/96520*228). -42 What is the value of ((-20)/144*-6)/((-145)/4698*-6)? 9/2 Evaluate (2/(-299))/((-200)/7800). 6/23 What is (((-25088)/42)/14)/((-90)/54)*15/(-6)? -64 Evaluate (-384160)/8575*(-5)/7. 32 Evaluate (-24)/(-20)*(9275/315)/53. 2/3 Calculate (13*1)/((-207)/27*(-204)/3128). 26 Calculate (48/(-64)*(-50)/(-30))/((-8)/(-288)). -45 Evaluate (-6)/((-1404)/1365)*(-24)/4. -35 Calculate 3400/(-300)*126/(-119). 12 What is (203/(-116))/(5*(-19)/1140)? 21 (268/(-201))/1*((-9)/(-28))/1 -3/7 What is 854/(-488)*-12*1/7? 3 What is the value of (((-54)/90)/((-528)/(-480)))/((-100)/(-11))? -3/50 What is -1067*(57/(56088/(-123)))/(11/8)? 97 What is the value of (-200)/(-480)*(-16)/5*(-375)/(-20)? -25 What is -3*(3/30)/((-18183)/1595)? 1/38 What is the value of (((-23881)/(-167))/(-11583))/((-1)/(-2))? -2/81 (-29)/(1450/(-25))*(-42)/28*564/9 -47 Calculate (-15)/(-2)*((-6)/3)/(((-3354)/(-364))/43). -70 What is ((2/3)/((-68)/(-51))*16/2)/(-118)? -2/59 (-44)/56*4*980/(-56) 55 What is the value of ((-63)/252*2*3)/((77/(-182))/11)? 39 ((-46)/134458*-74)/1 2/79 (13218/(-17624))/(2/(-136)) 51 Calculate (3/24*-14)/((112/(-896))/(1/6)). 7/3 Evaluate (234/(-36))/(-12*(-10)/60)*4/1. -13 What is (3*21/126)/(34*(-15)/40)? -2/51 Calculate (2/(-34))/(((-3)/2)/(168/(-112))). -1/17 Calculate ((-59)/(944/200))/(2/(32/((-16)/4))). 50 Calculate (9/33)/(((-13468)/(-407))/52). 3/7 What is (13/((-13)/(-10)))/(1208/9060)? 75 What is ((-21)/4)/(505/2020)? -21 Calculate (((-10375)/498)/(-125))/(2/(-516)). -43 What is 2610/(-2175)*(-9)/(-2862)*50*3/15? -2/53 Calculate 5/(-4)*10*(-48)/(-400)*224/140. -12/5 (756/(-4))/1*((-2028)/(-182))/(-39) 54 What is the value of 684/(-24)*((-105)/14)/15*4? 57 (84/(-98))/((-4722)/38563) 7 What is (-112)/(-192)*(-26)/(-91)*48? 8 (2/((-400)/(-56)))/(161/(-1610)) -14/5 Calculate (-1)/(((-441)/(-756))/((-6020)/80)). 129 (-78)/((-24336)/(-14430))*8/10 -37 Evaluate (-82*2/(-7))/(17*112/6664). 82 Calculate -10*(-12)/(-600)*(-5)/((-25)/(-70)). 14/5 What is 156/234*(45/(-4))/((-10)/((-20)/(-3)))? 5 Evaluate (1/2)/(28/6*2985/(-87560)). -22/7 (2/(-3))/((1508/87)/4) -2/13 (124/(-186))/(414/10557) -17 Evaluate ((-4)/12)/(-6*3/27)*(-558)/(-9). 31 Evaluate (14/49)/((-60)/(-210))*(-12)/(-9). 4/3 Evaluate ((24/(-40))/((-27)/(-75)))/(35/(-126)). 6 (((-8351)/(-1193))/((-28)/6))/(-1*12/680) 85 Evaluate (40/112*7)/((-53)/742). -35 What is the value of (-24)/13*(-1431)/5724? 6/13 Evaluate ((-636)/(-9))/(4852/(-3639)). -53 ((-148)/(-518))/(((-68)/(-21))/4) 6/17 What is the value of (68/36652*98)/(2/66)? 6 (135/36)/(1308/1744)*(-4)/(-10)*-2 -4 660/9*993/(-1655) -44 What is 1*4060/29*2*(-5)/(-80)? 35/2 Evaluate (((-12)/8)/(-3))/(((-68085)/(-34))/(-45)). -1/89 What is 4*6/(-96)*(-4600)/6325? 2/11 2/(423*(-68)/306) -1/47 What is (4/(-25))/((-1728)/(-4320))? -2/5 What is ((18/(-7))/(-1*153/30))/((-2048)/(-7168))? 30/17 What is ((-7)/(189/(-18)))/((-3)/(-16)*(-4800)/(-720))? 8/15 What is the value of 7/(1029/245)*1? 5/3 What is the value of -4*((-57915)/(-2106))/(-1*1)? 110 3/(-459)*-17*24*(-35)/(-10) 28/3 (28/119*-6)/((-1)/34) 48 Calculate (98/12936)/(((-126)/77)/(-6)). 1/36 Evaluate 2*(-33)/((-3003)/4277). 94 Evaluate 426/355*1180/1947. 8/11 Evaluate (30/20)/(9/2*52/(-4056)*-13). 2 What is (-535)/(-3)*(-11526)/(-19210)? 107 What is the value of (-2080)/(-208)*(((-588)/10)/(-6))/(3/(-3))? -98 105*((-33)/(-99))/(5/3) 21 (6/4)/((((-9)/54)/(-1))/((-1748)/171)) -92 What is -9*(48/1035)/16*(-11)/((-286)/(-65))? 3/46 What is (3/(-10))/((-3090)/298700)? 29 What is the value of (-51)/(((-135)/(-210))/(20/(980/(-21))))? 34 Evaluate ((1595/(-125))/29)/(6/(-30)). 11/5 ((-16)/(-2)*15)/((-483)/(-33166)*103) 80 What is the value of (-1)/42*549/(-122)*(-40)/300? -1/70 What is ((38227/508)/301)/((-2)/(-16)*2)? 1 Evaluate (840/18)/4*(-3)/(-80)*28/7. 7/4 What is the value of (((-316305)/426)/(-495))/(3/44)? 22 (-24128)/(544/17)*9/(-117) 58 What is the value of (15/(-18))/((-11800)/(-3540))? -1/4 What is (-2394)/(-114)*(-1)/(-6)*(-42)/42? -7/2 (3550/(-40))/(((-15675)/220)/(-57)) -71 Calculate (((-44)/10)/(-11))/((-1113)/(-1060)). 8/21 What is the value of 3*(52/(-1235))/(((-528)/(-200))/(-11))? 10/19 Evaluate (50/(-126))/((-683)/((-3767428)/5910)). -10/27 Evaluate ((12/(-2))/(38/(-19)))/((-2)/(-94)). 141 Calculate ((-704)/(-24))/((-2900)/(-2175)). 22 Evaluate (-20)/(-18)*(-17)/1530*108. -4/3 What is ((-2)/4)/(((-2)/7)/((-2464)/131516))? -2/61 What is the value of (1*-1)/(6*9/378)*179/(-358)? 7/2 What is (3/(-90))/(((-3317)/107)/(-279))? -3/10 What is ((-3)/23)/((-1005)/(-354430))? -46 Calculate ((-6)/(-3))/((72/4)/1). 1/9 What is the value of ((28/6)/(-2))/((-77567)/1961337)? 59 Calculate (4/9*(-3051)/(-372561))/((-14)/(-49)). 2/157 What is the value of 527/(-1156)*-34*-2? -31 Evaluate (-8*(-67)/(-1072))/((-5)/(-20)*-218). 1/109 What is the value of (11/(-616)*-21)/((-37)/(-4144))? 42 What is (5/((-245)/(-3)))/(14742/11466)? 1/21 Calculate (-4)/(-13)*(-1483300)/8150. -56 What is the value of 122808/25585*((-2)/(-81))/(2/30)? 16/9 What is the value of ((-27)/891)/((-11)/198)*110? 60 (-1795)/(-359)*(-156)/(-5330) 6/41 Evaluate (-333)/296*1144/39. -33 Calculate ((-124)/8)/(275/(-220)). 62/5 (((-75)/210)/(25/60))/(21/98) -4 Evaluate -3243*-58*1/(-4002). -47 What is the value of (-3870)/(-27735)*(-1)/(-4)*4/(-3)? -2/43 What is the value of 22*((-12950)/100)/259? -11 Calculate (-300)/312*-8*4/80. 5/13 What is the value of 144/(303/(-202)*3)? -32 What is ((-96)/(-4))/((-412)/824)? -48 What is the value of 4514/(-4514)*(-29)/((-1)/((-3)/3))? 29 Evaluate (-36790)/(-849)*6/(-845)*-5. 20/13 Calculate 96/(((520/26)/20)/(2/(-4))). -48 What is 45/60*(-6076)/651? -7 Calculate -11*1976/1254*(21/2)/(-7). 26 (-188736)/157280*(-1)/33 2/55 ((4437/(-290))/51)/(3/12) -6/5 ((-5)/((-245)/14))/((520/(-3705))/((-28)/6)) 19/2 Evaluate (-30)/(-95)*182/(-156)*(-45)/(-420). -3/76 Evaluate -2*(-36)/((-7560)/245). -7/3 (-16*18/(216/15))/((1705/66)/31) -24 124/10*84/(504/(-15)) -31 What is 204/(18*22/(-1782)*9)? -102 What is the value of -16*396/(-1440)*((-9)/2)/((-1)/(-5))? -99 What is ((-396)/(-770)*28)/((-98)/735)? -108 8/(8/(-9))*(-7440)/(-1395) -48 ((-77)/315)/(253/(-138))*1845/(-30) -41/5 (57*20/(-36))/(6/(-18)) 95 Calculate ((-120)/42)/((89/(-623))/((-15)/(-3))). 100 Evaluate (((-63)/105)/(594/(-15))*-9)/((-6)/(-4)). -1/11 Evaluate ((-10)/(-6))/(-1)*6216/1776*72/(-4). 105 Evaluate (3895/9348)/((-9)/180). -25/3 Calculate (-1470)/924*2*-11. 35 What is the value of 2/(-7)*1*-3*159/((-64395)/(-2268))? 24/5 Calculate ((-6)/(-9))/((-134)/(-1742)*(-78)/360). -40 Evaluate (207/((-1449)/(-14)))/(5/((-5)/(-53))). 2/53 What is the value of (-786)/(-2096)*3976/(-21)? -71 ((-2)/34)/(10*(85/(-136))/((-75)/12)) -1/17 14/((-910)/(-39))*(-24)/264 -3/55 1/(12/(-50))*(-21504)/1792 50 Evaluate ((-704)/440*15/16)/(-1*4). 3/8 Calculate (9919/(-15478))/91*2. -1/71 2660/(-245)*(-630)/180 38 ((-8)/(-36)*1)/(-7*25/12600) -16 Evaluate (115/(-15))/((38/(-1140))/(1/(-5))). -46 What is the value of (-1)/((-9)/((-756)/70))*7/(-434)*-5? -3/31 Calculate (-5)/(15/(-2))*-63*(-59)/(-354). -7 Evaluate (-3*8/(-216))/((-90)/4455). -11/2 (-11)/((-3685)/6)*340*(-54)/(-7344) 3/67 What is 2156/704*-40*(-4)/(-14)? -35 Calculate (1240/(-800))/((-169)/(-6760)). -62 Calculate ((-139)/(-2))/(336/75936*-113). -139 Calculate ((((-5)/5)/(-6))/(28/(-18)))/((-1396)/(-27920)). -15/7 What is the value of ((-3)/105*-14)/(((-4)/4)/(-25))? 10 What is (227502/(-155115))/((-22)/12)? 4/5 Calculate 9/(-58)*(14/1701)/((-2)/(-27)). -1/58 Calculate (2/(-10))/(265/((-1325)/(-51))). -1/51 Evaluate 14/(-36)*1736/6076*2/4. -1/18 Evaluate ((-15)/273)/((-14)/(-980)*5). -10/13 What is ((-10)/(-4)*(-26)/39)/(9/27)? -5 (27/(-19575))/((962/(-26))/370) 2/145 What is ((-63)/(-105))/(((-84)/49)/(-4)*(-42)/12)? -2/5 What is the value of ((-3)/18*-2)/(-1)*(-2334)/(-9336)? -1/12 What is ((-44)/33*2)/((-329)/(-10998)*26)? -24/7 What is the value of 93/(((-60900)/140)/(-145))? 31 ((-6)/42*(-2784)/232)/(1/35) 60 11/4*18020/19822 5/2 What is the value of 12*180/(-6)
{ "pile_set_name": "DM Mathematics" }
t l(w) = -5*w**2 - 170 + 27 + 155. Give -8*g(y) + 3*l(y). y**2 + 4 Let x(z) = -4*z + 2. Suppose 39 = -5*u + 14. Let l(c) = -4*c + 2. Determine u*l(o) + 4*x(o). 4*o - 2 Let u(n) = 78*n**2 - 4 - 90*n**2 + 31 - 27*n. Let k be 0 + (-2 - 0 - 0). Let t(i) = i**2 + 2*i - 2. What is k*u(z) - 27*t(z)? -3*z**2 Let u(n) = -145901*n**2 - 2261*n - 2261. Let s(a) = 387*a**2 + 6*a + 6. Give 2261*s(q) + 6*u(q). -399*q**2 Let o = -5 + 1. Let a(w) = -w. Let q(x) be the third derivative of -x**5/20 - x**4/12 + 11806*x**2. Give o*a(g) + 2*q(g). -6*g**2 Let d(i) = -836*i**2 - 6*i - 2. Let b(h) = -841*h**2 - 5*h - 2. Give 6*b(t) - 5*d(t). -866*t**2 - 2 Let d(w) = 5*w - 5. Let g(q) = 6*q + 0*q + 0*q - 5*q. Determine d(y) - 3*g(y). 2*y - 5 Let x = -85 + 90. Suppose 5 = -5*d + x*v, -4*d - v + 17 = 2*v. Let l(y) = -y**3 + y + 3. Let w(h) = -3*h**3 + 2*h + 6. Give d*w(s) - 5*l(s). -s**3 - s - 3 Let t(h) = -h**3 + h**2 - 2*h - 1. Let b(j) = 12*j**3 - 8*j**2 + 14*j + 3. What is -b(f) - 6*t(f)? -6*f**3 + 2*f**2 - 2*f + 3 Let y be (-806)/117 - (-5)/(-45). Let r(i) = -6*i**2 - 7. Let g(h) be the first derivative of h**3 + 3*h + 2. Determine y*g(x) - 3*r(x). -3*x**2 Let b(d) = -3*d - 5. Let t(q) = -9*q - 14. Suppose -7*h + 21 = -182. Let r = 32 - h. What is r*t(f) - 8*b(f)? -3*f - 2 Let w(f) be the second derivative of -f**5/20 + f**4/12 - f + 14. Let i(s) = 7*s**3 - 6*s**2 - 2*s + 3. Calculate -i(z) - 6*w(z). -z**3 + 2*z - 3 Let x(n) = 14*n - 26*n - 2 + 3 + 17*n. Let g(z) = -22*z - 4. Let t(r) = 2*g(r) + 9*x(r). Let a(f) = -4*f**2 + 6*f + 6. What is -a(b) + 6*t(b)? 4*b**2 Let b(f) = f**2 + 1. Let s(l) = 4*l**2 - 11*l + 9. What is -6*b(v) + s(v)? -2*v**2 - 11*v + 3 Let p(h) = 3*h**2 - 2. Let z(x) = 14*x**2 - x - 10. Determine 11*p(s) - 2*z(s). 5*s**2 + 2*s - 2 Let d(h) = 2*h**3 - 3*h**2 + 6*h. Suppose 4 = 7*v - 10. Suppose 3*o = 8*o + 15. Let m(x) = -8*x**3 + 2*x**3 + 5*x - 2*x**2 + 8*x**3. Calculate o*m(u) + v*d(u). -2*u**3 - 3*u Let x = -222 - -225. Let y(h) be the third derivative of -h**6/120 - h**4/12 - 2*h**2. Let b(r) = r. What is x*y(z) + 6*b(z)? -3*z**3 Let m(u) = 28*u**2 - 7*u - 9. Let j(f) be the first derivative of -14*f**3/3 + 3*f**2/2 + 4*f + 102. Give 9*j(l) + 4*m(l). -14*l**2 - l Let s(v) = -71*v + 4. Let r(p) = 71*p - 3. Determine 3*r(j) + 2*s(j). 71*j - 1 Let t(i) = -i**3 - 3*i**2 - 3*i - 20. Let a(v) = 2*v**2 + 2*v + 19. Give 3*a(o) + 2*t(o). -2*o**3 + 17 Let b = -13 + 9. Let j = 80 + -79. Let c(x) = x**2. Let u(s) = 5*s**2. Calculate b*c(g) + j*u(g). g**2 Let p(k) = -13*k**3 - 13*k**2 - 2*k + 7. Let a(j) = -12*j**3 - 12*j**2 - 2*j + 5. Determine -5*a(h) + 4*p(h). 8*h**3 + 8*h**2 + 2*h + 3 Let t(v) = v**2 + 11*v + 16. Let k(z) be the first derivative of -3*z**2 + z - 13. Let j(d) = d - 1. Let y(x) = -4*j(x) - k(x). Determine -2*t(w) + 11*y(w). -2*w**2 + 1 Let d(c) = -15*c**2 + c - 2. Let t(m) = m**2 + 2*m - 1. What is d(n) - t(n)? -16*n**2 - n - 1 Let d(g) = 2*g**2 + 2*g + 4. Let s be 26/12 + (-42)/252. Let n(c) be the second derivative of 1/2*c**3 + 1/4*c**4 + 3*c**s - 2*c + 0. Give 7*d(y) - 5*n(y). -y**2 - y - 2 Let d(o) = 4*o - 2. Let q be d(2). Let c(a) = -4*a**3 - 6*a**2 + 1. Let f be (-11)/(-22)*-14 + 8 + -6. Let v(n) = -4*n**3 - 5*n**2 + 1. Give f*c(h) + q*v(h). -4*h**3 + 1 Let c(w) = -w**2 + 1. Let g(d) = 8*d**2 + 53*d + 33. Let h be g(-6). Let u(y) = -10*y**2 + 3. Determine h*c(a) - u(a). 7*a**2 Let y(r) = -r**2. Let t be (-2 - 0) + 1 + 4. Let n be 3*((-58)/(-6) - t). Suppose 7*k = 5*k - n. Let o(w) = -8*w**2 + 2*w. Calculate k*y(x) + o(x). 2*x**2 + 2*x Let b(l) = l - 10. Let d be b(15). Let q(z) = -1 + 3*z - d - 2 - 1. Let v(i) = i - 4. Calculate 4*q(w) - 9*v(w). 3*w Let j(x) = -53*x**3 + 7*x**2 - 7. Let u(q) = 26*q**3 - 3*q**2 + 3. Give -3*j(t) - 7*u(t). -23*t**3 Let t(s) be the second derivative of -2*s**2 + 2/3*s**3 + 7*s + 0 - 1/4*s**5 - 1/3*s**4. Let n(x) = x**3 + x**2 - x + 1. Calculate -4*n(h) - t(h). h**3 Let t be 0 - 7/((-21)/6). Let c(i) = 4 - 2 - t*i**2 - 3 - 6*i + i. Let n(f) = 29 + 0*f**2 + 6*f + 2*f**2 - 27. What is 4*c(x) + 3*n(x)? -2*x**2 - 2*x + 2 Let f(w) = 6*w**3 - 6*w**2. Let d(a) = a**3 - a**2. Let u(v) = v**2 - 5*v - 3. Let b be u(-2). What is b*d(l) - 2*f(l)? -l**3 + l**2 Let n(w) = -7*w**2 - 9. Let q(t) = -26*t**2 + 5*t**2 + 1 + 22*t**2. Calculate 2*n(d) + 18*q(d). 4*d**2 Let h(f) = 7*f**3 - 7*f**2 + 12*f + 17. Let v(d) = 6*d**3 - 7*d**2 + 11*d + 14. Calculate 4*h(o) - 5*v(o). -2*o**3 + 7*o**2 - 7*o - 2 Let l(w) = w - 4. Let a be l(5). Let c(n) = -n - 1. Let r(o) = o - 1. Let p(z) = -z**3 + 3*z - 12. Let v(q) = p(q) - 6*r(q). Determine a*v(t) - 5*c(t). -t**3 + 2*t - 1 Let k(l) be the third derivative of 1/60*l**5 + 0*l + 1/60*l**6 + 1/8*l**4 - 1/3*l**3 + 9*l**2 + 0. Let v(j) = 3*j**3 + 2*j**2 + 5*j - 3. Give 5*k(s) - 3*v(s). s**3 - s**2 - 1 Let r(a) = -a**3 + 9*a**2 - 4*a - 5. Suppose 2*u + g - 14 = -11, 5 = -5*g. Let q(c) = c**3 - 4*c**2 + 2*c + 2. What is u*r(i) + 5*q(i)? 3*i**3 - 2*i**2 + 2*i Let t(d) = -d**2 + 3*d - 2. Suppose -2*n - 2*p + 8 = 0, 6 = n + 5*p - 10. Suppose 0 = 3*x - 5 - 1. Let i(v) = 5 - v + x*v**2 - v**2 - 5. Give n*t(q) + 2*i(q). q**2 + q - 2 Let r(j) = -j**3 - 9. Suppose -40*p + 41*p + 5 = 0. Let z(n) = n**3 + 8. Determine p*z(i) - 4*r(i). -i**3 - 4 Let o(f) = -15*f**2 + 4*f - 4. Let w(q) be the second derivative of q**3/6 - q**2/2 + 8*q + 10. What is o(i) - 4*w(i)? -15*i**2 Let a(d) be the second derivative of -1/3*d**4 + 32*d + 1/3*d**3 + 0 - 1/20*d**5 + 0*d**2. Let j(c) = -c**3 - c**2 + c. Give -a(l) + 3*j(l). -2*l**3 + l**2 + l Let z(s) = -7*s**2 - 6*s - 6. Let g(r) = r**2 + 1. Let c = 80 - 81. Determine c*z(m) - 5*g(m). 2*m**2 + 6*m + 1 Let b(z) = 4*z - 8. Let o(y) = -5*y + 9. Let w = 1815 + -1810. What is w*o(f) + 6*b(f)? -f - 3 Let j(r) = -50*r**2 + 8. Let u(p) be the second derivative of 11*p**4/4 - 5*p**2/2 + 389*p. Calculate 5*j(x) + 8*u(x). 14*x**2 Let q be -2*-11*1 - 1. Suppose -419 = 74*a - 49. Let c(r) = 9*r - 21. Let j(y) = 2*y - 5. Determine a*c(s) + q*j(s). -3*s Let i = -550 + 547. Let u(b) = -4*b**3 + 2*b**2. Let w(r) = -5*r**3 + 2*r**2 - r. Calculate i*u(x) + 2*w(x). 2*x**3 - 2*x**2 - 2*x Let z(c) = -13139*c**2 - 4 - 5 + 6561*c**2 + 6569*c**2 - 8*c**3. Let p(j) = j**3 - 3*j. Let u be p(3). Let s(b) = -b**3 - b**2 - 1. Determine u*s(x) - 2*z(x). -2*x**3 Let o(u) = -3*u**3 - 13*u - 4*u**3 + 5*u + 8*u - 13*u**2. Let h(t) = -t**3 - 2*t**2. What is -39*h(i) + 6*o(i)? -3*i**3 Let p(n) = 5*n - 1. Let u(x) be the first derivative of -21*x**2/2 + 4*x + 63. Calculate -9*p(i) - 2*u(i). -3*i + 1 Let j(l) be the third derivative of l**3/6 + 301*l**2. Let h(t) = -t - 4*t + 4*t. What is h(i) + j(i)? -i + 1 Let x(k) = -20*k**3 - k**2 - 5*k - 18. Let o(w) = 9*w**3 + w**2 + 2*w + 8. Let h(t) = 5*o(t) + 2*x(t). Let a(i) = -9*i**3 - 5*i**2 - 9. Give -3*a(r) - 5*h(r). 2*r**3 + 7 Suppose 11*l - 3*l + 40 = 0. Let o(v) = -21*v + 36. Let k(u) = -3*u + 5. Let b(y) = 15*k(y) - 2*o(y). Let n(r) = -7*r + 7. Determine l*b(x) + 2*n(x). x - 1 Let c(q) = 7*q + 1. Let m(p) = -1 + 2 - 4 - 3 + 7*p + 7. Calculate -6*c(s) + 5*m(s). -7*s - 1 Let j(q) = 8*q + 123. Let a(g) = 22*g + 368. Give -3*a(b) + 8*j(b). -2*b - 120 Let a(i) = -21*i - 18. Let v(l) = 6*l + 5. Let k(s) = -5*a(s) - 18*v(s). Suppose 5*f + 5 = 0, 7 + 7 = -5*g - 4*f. Let z(t) = 12*t. Give g*z(c) - 9*k(c). 3*c Let l = 70 + -63. Let t(j) = -6*j**3 + 7*j. Let u(y) = -2*y**3 + 2*y. Give l*u(o) - 2*t(o). -2*o**3 Let n(s) = 3*s**2 + 2*s + 5. Let i be (24/4)/(1/((-4)/6)). Let h(t) = 4*t**2 + 2*t + 6. Calculate i*h(f) + 5*n(f). -f**2 + 2*f + 1 Let g(k) be the second derivative of 119*k**3/6 + 49*k**2/2 - 150*k. Let p(n) = 5*n + 2. Give -2*g(u) + 49*p(u). 7*u Let d(l) be the first derivative of l**3 + l**2 + 6*l - 104. Let j(p) = -1. What is d(q) + 6*j(q)? 3*q**2 + 2*q Let l(q) = -q - 1. Let p(o) = o + 37. Determine -6*l(x) - 2*p(x). 4*x - 68 Let c(b) be the second derivative of -b**4 - 3*b**2/2 + 330*b. Let a(d) = 11*d**2 + 2. Determine -3*a(z) - 2*c(z). -9*z**2 Let u(v) = -3*v**3 - v**2 - 36*v + 17. Let d(t) = 2*t**3 + t**2 + 24*t - 12. Calculate 7*d(g) + 5*u(g). -g**3 + 2*g**2 - 12*g + 1 Let b(j) = -j + 20. Let k be b(19). Let g(z) = z. Let f(p) = -p + 3. Determine k*f(a) - 2*g(a). -3*a + 3 Let k(i) = 3*i + 5. Let y(t) = -15*t - 24. Suppose -274 = 18*u + 158
{ "pile_set_name": "DM Mathematics" }
nder when 404191 is divided by 14. 11 What is the remainder when 38930 is divided by 9587? 582 What is the remainder when 729 is divided by 584? 145 Calculate the remainder when 34523 is divided by 8630. 3 Calculate the remainder when 66002 is divided by 215. 212 Calculate the remainder when 333 is divided by 134. 65 Calculate the remainder when 8877 is divided by 11. 0 Calculate the remainder when 17024 is divided by 1775. 1049 Calculate the remainder when 2859 is divided by 229. 111 Calculate the remainder when 30698 is divided by 267. 260 Calculate the remainder when 4087 is divided by 371. 6 Calculate the remainder when 73198 is divided by 2361. 7 What is the remainder when 29624 is divided by 13? 10 Calculate the remainder when 917957 is divided by 516. 509 Calculate the remainder when 19906 is divided by 2841. 19 Calculate the remainder when 13034 is divided by 1850. 84 What is the remainder when 1827 is divided by 144? 99 What is the remainder when 123423 is divided by 3981? 12 What is the remainder when 11620 is divided by 6? 4 Calculate the remainder when 33695 is divided by 70. 25 What is the remainder when 530777 is divided by 71? 52 What is the remainder when 2916766 is divided by 48? 46 What is the remainder when 10526 is divided by 90? 86 Calculate the remainder when 31628 is divided by 18. 2 Calculate the remainder when 998047 is divided by 199608. 7 Calculate the remainder when 2397779 is divided by 77. 76 What is the remainder when 30011 is divided by 1306? 1279 Calculate the remainder when 1034974 is divided by 98. 94 Calculate the remainder when 11877 is divided by 11859. 18 Calculate the remainder when 199582 is divided by 5. 2 Calculate the remainder when 30733 is divided by 63. 52 Calculate the remainder when 6022 is divided by 27. 1 Calculate the remainder when 41176 is divided by 39. 31 What is the remainder when 8240 is divided by 1647? 5 Calculate the remainder when 29790 is divided by 4962. 18 What is the remainder when 108350 is divided by 148? 14 What is the remainder when 2501 is divided by 626? 623 What is the remainder when 33018 is divided by 459? 429 What is the remainder when 10199 is divided by 3368? 95 What is the remainder when 6689 is divided by 1119? 1094 What is the remainder when 61462 is divided by 153? 109 Calculate the remainder when 169538 is divided by 31. 30 Calculate the remainder when 2193 is divided by 1954. 239 What is the remainder when 4738 is divided by 56? 34 Calculate the remainder when 10707 is divided by 23. 12 Calculate the remainder when 857073 is divided by 12. 9 Calculate the remainder when 28627 is divided by 34. 33 What is the remainder when 4574 is divided by 22? 20 Calculate the remainder when 6103747 is divided by 17. 16 Calculate the remainder when 2668 is divided by 816. 220 What is the remainder when 1066876 is divided by 110? 96 Calculate the remainder when 2301 is divided by 752. 45 What is the remainder when 57096 is divided by 48? 24 What is the remainder when 858 is divided by 330? 198 What is the remainder when 1358725 is divided by 561? 544 Calculate the remainder when 333474 is divided by 583. 581 What is the remainder when 10115 is divided by 122? 111 What is the remainder when 55479 is divided by 1588? 1487 What is the remainder when 3693 is divided by 231? 228 What is the remainder when 394 is divided by 98? 2 Calculate the remainder when 8743 is divided by 57. 22 Calculate the remainder when 186419 is divided by 15. 14 Calculate the remainder when 24836 is divided by 403. 253 What is the remainder when 964 is divided by 43? 18 Calculate the remainder when 67254 is divided by 8. 6 What is the remainder when 4593 is divided by 78? 69 What is the remainder when 9177 is divided by 38? 19 Calculate the remainder when 5331 is divided by 2663. 5 Calculate the remainder when 212736 is divided by 954. 948 Calculate the remainder when 5091 is divided by 8. 3 Calculate the remainder when 4079 is divided by 215. 209 Calculate the remainder when 21341 is divided by 3500. 341 What is the remainder when 434167 is divided by 28? 27 What is the remainder when 784914 is divided by 21? 18 Calculate the remainder when 40785 is divided by 13586. 27 Calculate the remainder when 89 is divided by 85. 4 What is the remainder when 71372 is divided by 281? 279 What is the remainder when 15653 is divided by 110? 33 What is the remainder when 283774 is divided by 60? 34 Calculate the remainder when 1982 is divided by 619. 125 What is the remainder when 5407 is divided by 258? 247 What is the remainder when 2883 is divided by 78? 75 Calculate the remainder when 68859 is divided by 1967. 14 What is the remainder when 50871 is divided by 10? 1 Calculate the remainder when 41783 is divided by 5216. 55 Calculate the remainder when 252 is divided by 8. 4 Calculate the remainder when 7080 is divided by 2143. 651 Calculate the remainder when 71755 is divided by 54. 43 Calculate the remainder when 42045 is divided by 154. 3 What is the remainder when 32461 is divided by 10806? 43 Calculate the remainder when 5983 is divided by 240. 223 Calculate the remainder when 10686 is divided by 67. 33 Calculate the remainder when 287224 is divided by 304. 248 What is the remainder when 1794 is divided by 661? 472 What is the remainder when 6851 is divided by 3308? 235 Calculate the remainder when 7299 is divided by 1454. 29 What is the remainder when 7951 is divided by 18? 13 What is the remainder when 63410 is divided by 2640? 50 What is the remainder when 21434 is divided by 2902? 1120 What is the remainder when 17077 is divided by 4264? 21 Calculate the remainder when 31443 is divided by 238. 27 Calculate the remainder when 50799 is divided by 141. 39 What is the remainder when 1032155 is divided by 344047? 14 What is the remainder when 36594 is divided by 385? 19 What is the remainder when 284123 is divided by 17757? 11 What is the remainder when 33530 is divided by 35? 0 Calculate the remainder when 2274 is divided by 249. 33 Calculate the remainder when 77931 is divided by 1771. 7 Calculate the remainder when 5785 is divided by 1649. 838 What is the remainder when 26423 is divided by 970? 233 Calculate the remainder when 54383 is divided by 227. 130 What is the remainder when 8409 is divided by 80? 9 Calculate the remainder when 2993 is divided by 51. 35 Calculate the remainder when 87518 is divided by 173. 153 Calculate the remainder when 17662 is divided by 442. 424 Calculate the remainder when 1156 is divided by 411. 334 Calculate the remainder when 5873 is divided by 53. 43 Calculate the remainder when 11359 is divided by 2242. 149 Calculate the remainder when 65154 is divided by 587. 584 Calculate the remainder when 64327 is divided by 5358. 31 What is the remainder when 810545 is divided by 29? 24 What is the remainder when 19822 is divided by 1238? 14 What is the remainder when 13416 is divided by 671? 667 What is the remainder when 7570 is divided by 19? 8 What is the remainder when 150171 is divided by 25026? 15 Calculate the remainder when 38108 is divided by 37. 35 Calculate the remainder when 1629 is divided by 1623. 6 Calculate the remainder when 388 is divided by 47. 12 What is the remainder when 4504 is divided by 144? 40 What is the remainder when 495 is divided by 164? 3 Calculate the remainder when 114049 is divided by 36. 1 Calculate the remainder when 3924 is divided by 438. 420 Calculate the remainder when 1632 is divided by 111. 78 Calculate the remainder when 33546 is divided by 8293. 374 What is the remainder when 347732 is divided by 347728? 4 Calculate the remainder when 1124773 is divided by 292. 281 What is the remainder when 7812 is divided by 141? 57 Calculate the remainder when 604835 is divided by 43. 40 What is the remainder when 1793 is divided by 103? 42 What is the remainder when 329348 is divided by 2573? 4 What is the remainder when 138899 is divided by 150? 149 Calculate the remainder when 117811 is divided by 867. 766 Calculate the remainder when 27857 is divided by 5571. 2 What is the remainder when 93241 is divided by 85? 81 Calculate the remainder when 49072 is divided by 7010. 2 Calculate the remainder when 22466 is divided by 177. 164 What is the remainde
{ "pile_set_name": "DM Mathematics" }
prime? True Let g(a) = -a**3 + 7*a**2 + 5. Let p be g(7). Suppose n - p = 6*n. Is (n - 1) + 38 + 1 a prime number? True Is (-3)/(-2) - 18700/(-40) composite? True Suppose a - 479 = -t, -5*a - 2*t - t + 2395 = 0. Is a a prime number? True Suppose 4*c - 1414 = 5*c. Is c/(-8) + 1/4 composite? True Let q be (56/10)/((-1)/(-5)). Suppose y - 27 = 4*m - 6, y + 3*m - q = 0. Is y prime? False Suppose -3*n + 0*n = 0. Suppose n = -f - 5, -3*i + 0*f + f = -236. Is i prime? False Let f = -179 + 472. Is f prime? True Suppose 10*r - 380 - 2130 = 0. Is r prime? True Let g be (6/(-8))/(2/(-336)). Suppose -g = -m + 143. Is m composite? False Let l = -154 - -249. Suppose -r = 2*m + 2*m - 20, m = 3*r - 8. Suppose -r*i + l = i. Is i composite? False Let c be 9*(2 + (-20)/12). Suppose 0 = -5*p - 4*t + 234, 5*p + 123 - 350 = c*t. Is p a prime number? False Suppose 0 = -4*z + 3*z + 41. Let x = -26 + z. Is x a prime number? False Let s(j) = j**2 + 2*j. Let m be s(7). Suppose -3*u + 354 - m = 0. Suppose -21 = 4*g - u. Is g prime? True Let c(b) = 13*b - 7. Is c(2) prime? True Let j(b) = -b**2 + 59. Let a be 2/(-5) - (-6)/15. Is j(a) a composite number? False Is (-56601)/(-114) - (6/4)/(-3) a prime number? False Suppose -27 = -h - 3*f, -4*f - 100 = -3*h + 20. Suppose -80 = -2*a + h. Is a composite? True Is ((2 - 3) + 3 - 9)*-53 a composite number? True Let f = 3361 - 2300. Is f prime? True Let o = -2287 - -4714. Is o a composite number? True Let s be 1031 - (5 - 3)/2. Let l = s - 561. Is l prime? False Let b = -182 + 125. Let z = -26 - b. Is z a prime number? True Suppose 18 = j + z, 0 = -j - 3*z + z + 21. Is j a composite number? True Suppose -2*y = -5*m + 165 + 256, m = -y + 80. Is m a prime number? True Let a(f) = 120*f**3 + 4*f**2 - 4*f + 1. Is a(3) composite? True Let f be 8 - (-1 + 1 - -3). Suppose -f*h + 83 = 4*v, 2*v - 5*h + 61 = 5*v. Is v composite? True Suppose 116 = -3*f - 124. Let g = 138 + f. Is g a composite number? True Suppose -3*m = -4*p + 5902, 0 = 2*m - 3 - 1. Is p prime? False Let b = -1 - -4. Let u = b - 2. Is (-5)/(u/(2 - 9)) a prime number? False Let c(v) = v. Let x be c(3). Let f be (1/(-3))/((-6)/828). Suppose 69 = x*a - 3*s - 0*s, s = 2*a - f. Is a prime? True Let d = 0 - 2. Let b(z) = 4*z + 6. Let v be b(-3). Is (4/d)/(v/381) prime? True Is 892 + (-1)/1*-3 a prime number? False Suppose -p + 283 = -672. Is p composite? True Let u be (3 - 9/6)*14. Let l = -15 + u. Is l a prime number? False Suppose 5*x - x + 12 = 2*w, -2*x = w - 2. Is (29*x)/((-5)/10) prime? False Suppose 0 = -2*d + 14 + 4. Let v(u) = u**3 - 7*u**2 - 10*u - 3. Is v(d) a prime number? False Suppose -6 = 5*v - 3*z, 1 = -2*v + 2*z - 3. Suppose -2*k - 3*k + 215 = v. Is k prime? True Suppose -4*y = -4*l - 48, -l = -2*y - 6*l - 4. Is y/(-28) - (-485)/7 a composite number? True Let s(h) = 19*h**2 + 4*h + 9. Is s(10) prime? True Let o(p) = -2*p**2 + 115. Is o(0) a prime number? False Suppose 0 = 3*c - 6*c + 6. Let h be c/(-4) + 51/6. Let f = h + -2. Is f a composite number? True Suppose -h + 4*q = -227, 5*q + 24 = 4. Is h a prime number? True Let j = 271 + -408. Let z = j + 264. Is z prime? True Suppose -4*d - 4*r - 6 = 2, -4*d + 17 = -r. Suppose 0*s - d*s - 6 = 0. Is s - (-2)/((-6)/(-69)) prime? False Suppose 385 = 3*v - a, -3*a - 515 = -4*v - 0*a. Suppose 3*n + n = v. Suppose n = 5*h - 353. Is h a composite number? True Let h(z) = 201*z**2 - 5*z + 5. Is h(3) composite? True Let y = -1 + 15. Let g be y*(-1 + 5/2). Suppose -2*i = -i - g. Is i a prime number? False Suppose 0 = -4*k + 219 + 257. Is k a prime number? False Suppose -4*t - 3*c + 155 = 0, 3*t + 12 - 130 = -4*c. Is t a prime number? False Suppose 0 = -2*s + 469 - 17. Is s composite? True Suppose -5*w = 4*b + 313 - 2198, -4*w + 1508 = 2*b. Is w a composite number? True Let s(d) = -d + 9. Let i be s(7). Let l be i/(-3) + 88/6. Suppose 56 = 2*j - l. Is j a prime number? False Let g be (-69)/(-12) + (-1)/(-4). Is (-1)/(((-7)/g)/7) a composite number? True Let x = -4 + 7. Suppose -x*k + 528 = 3*w, 2*k + 176 = w - 3*k. Suppose -4*v = -708 + w. Is v composite? True Suppose -7*s = 3*s - 3390. Is s a prime number? False Suppose 9*j - 5*j - 5588 = 0. Is j a composite number? True Suppose 2*k - 3 = k. Let w = 10 + 4. Suppose 15 = -5*n + f + 43, -2*f - w = -k*n. Is n composite? True Suppose 0 = 4*u + l - 14, -5*l - 34 + 4 = -5*u. Suppose -324 = -4*h + 4*z, u*z - 38 - 33 = -h. Is h prime? True Suppose -p = -4*q - 9, 0 = 2*q + 3*q + 4*p + 27. Let w(n) be the third derivative of n**5/20 - n**4/24 + 2*n**3/3 - 2*n**2. Is w(q) a composite number? True Let y be 26*2 + (9 - 7). Suppose y + 23 = n. Is n composite? True Suppose -83 = -w + 7. Suppose -w = -0*m - m. Suppose 2*r - 2*a + m = 4*r, -3*r = 5*a - 133. Is r composite? True Suppose 7034 = 11*q + 93. Is q composite? False Let f = -9782 - -14263. Is f composite? False Suppose -o = 2*s - 48, 30 + 46 = 4*s - 3*o. Is s composite? True Let a(y) = y**3 + 5*y**2 + 4*y + 1. Let n be a(-4). Let q = 6 - n. Suppose -2*u + 5*d + 47 = 0, -4*d + q*d = u - 28. Is u composite? False Let y be 1*(-3)/(6/(-4)). Suppose -3*a - 4*b = -589, 2*a - a - y*b = 183. Is a composite? False Let h(k) = 33*k. Let y be 2/(-1)*1 + 6. Let w be h(y). Is w*1 - (0 + 1) a composite number? False Suppose -1884 = -19*s + 17*s. Suppose -4*g = 4*i - 992, 183 - s = -3*i + 2*g. Is i a composite number? False Let b be 2 + (-1 + 1 - -4). Let l(m) = m**2 + 6*m - 3. Is l(b) prime? False Let k(h) be the first derivative of h**4/4 - h**3/3 + h**2/2 + 219*h - 4. Is k(0) composite? True Suppose 13*y = 11*y + 28. Is y a prime number? False Let l(r) = r**3 - r**2 - 2*r - 2. Is l(6) a composite number? True Suppose 0 = 2*k + r - 15, -2*k + 5*r = 3*k - 15. Suppose -2*g = u - 68, k = -3*u + 2*g + 178. Suppose y = -3*y + u. Is y prime? False Suppose -3*w + 87 = -2*w. Is w composite? True Suppose -5*t + 30 = 10, 2*t + 494 = 2*o. Is o a prime number? True Suppose -263 = -16*l + 15*l. Is l a composite number? False Let i be ((-1)/(2/(-12)))/(-1). Let c(q) = -q**3 - 5*q**2 + 4*q + 1. Is c(i) composite? False Suppose 2*o - 5*o = -66. Suppose l + l = o. Is l a prime number? True Let n = 232 + 21. Is n composite? True Let b(n) = 19*n - 9. Let h be b(6). Let y = h - 48. Is y composite? True Suppose p - 12 = -2*p. Suppose 3*b - p*b + 79 = 4*h, -2*b = h - 165. Is b prime? True Let k be (-2)/(-1)*(-7)/(-2). Let w(v) = 59*v - 6. Is w(k) composite? True Suppose 3*p + 2 - 26 = 0. Suppose -6 = -5*k + 4. Suppose -p = k*c - 0*c, -1 = s + 5*c. Is s composite? False Suppose -4*a = -3*a. Suppose a = -4*x + x + 159. Is x composite? False Let y(w) be the first derivative of -2*w**2 - w - 2. Let v be y(-6). Suppose v = -z + 2*z. Is z prime? True Let w be 55/(-2)*8/(-10). Suppose 18 = 5*p + 4*m, 0*p + 2*m + 2 = 3*p. Suppose -3*k = -p*k - w. Is k a prime number? False Let w = -237 - -872. Is w composite? True Is 3/(18/1893)*2 a composite number? False Let y = 8 - 6. Let u be (y*3)/(4/2). Is 4 - u - (-14 + 2) prime? True Let h = -271 + 994. Suppose 3*j + 279 - h = 0. Suppose -z = -6*z, 2*z - j = -4*b. Is b a composite number? False Suppose -4*q = 5*k - 409 - 356, -4*q - 129 = -k. Is k prime? True Let n(d) = d + 9. Let r be n(-9). Suppose -a = -5*a - 5*v + 222, r = 2*v + 4. Is a composite? True Let r be (0 + 78)/((-21)/28). Let a = r + 271. Is a composite? False Suppose 0 = 2*t - 41 - 35. Is t a composite number? True Let z = -4 + 6. Suppose z*y = -y + 111. Is y prime? True Suppose 13*l - 39964 = -4331. Is l a composite number? False Suppose -3*a - 5*q = -13690, 5*a = 7*a - 2*q - 9100. Is a prime? False Suppose -16 = -4*t + 3*f + 3, 2*t - 4 = -4*f. Let y(s) = 5*s**2 + 3*s - 5. Is y(t) composite? True Suppose c = -4*z - 67, -2*z = -c + 3*c + 122. Let q = c - -102. Is q prime? True Suppose 4*y - 1183 = -p, 3*p - 2*y + 1079 = 4586. Is p a composite number? False Let t be (2/(-3))/(6/(-9)). Let k = 1 + t. Suppose a - k*a + 178 = 3*q, -2*q + 10 = 0. Is a a prime number? True Suppose -10*r + 12*r + 2 = 0. Let w(f) = 189*f**2 + 3*f + 1. Is w(r) a prime number? False Suppose -2*h - h = -267. Is h composite? False Let o(s) = 50*s - 4. Let c be o(9). Suppose -l = 2*l, -2*a = l - c. Is a a prime number? True Suppose 4*y = -y. Let t = y - 0. Suppose w + w - 74 = t. Is w a prime numb
{ "pile_set_name": "DM Mathematics" }
20 Simplify ((sqrt(3) + sqrt(3)*-4)*6 - sqrt(24)/sqrt(128))**2 + 1. 16003/16 Simplify -4*sqrt(304)*1 + ((sqrt(38)*2)/sqrt(2))**2 + sqrt(19)*1 + -5. -15*sqrt(19) + 71 Simplify (sqrt(1620) + (2*sqrt(1620) + sqrt(1620) - sqrt(1620)) + sqrt(80)/(-1*sqrt(4)))/(sqrt(10)*-2*-1 + -1*sqrt(10)*-6). 13*sqrt(2)/4 Simplify 3*((sqrt(63)/(sqrt(9) - sqrt(81)))**2 + -4*(sqrt(7) + 0) + 3 + -4). -12*sqrt(7) + 9/4 Simplify ((1*sqrt(88)*-1 - sqrt(88)) + -6*-2*sqrt(88))/((sqrt(128) - ((sqrt(128) - -2*sqrt(128)) + sqrt(128)))*-3). 5*sqrt(11)/18 Simplify 2 + 1 + (2 + sqrt(13))**2 + (sqrt(325)*4 - sqrt(325))**2. 4*sqrt(13) + 2945 Simplify (2*sqrt(4536) - sqrt(4536))/(sqrt(128)*-3)*-2. 3*sqrt(7)/2 Simplify (((-1*sqrt(405) - sqrt(405)) + -2 + -2)*-2)**2. 576*sqrt(5) + 6544 Simplify ((-2 + sqrt(700) + 2*sqrt(700) + sqrt(700))**2 - (0 + sqrt(112)))*1. -164*sqrt(7) + 11204 Simplify -2 + -1 + sqrt(272) + (6*(-1*sqrt(17) - sqrt(17)) - sqrt(187)/(sqrt(22)/sqrt(2)))**2. 4*sqrt(17) + 2870 Simplify (((sqrt(117) + sqrt(117) + -5*sqrt(117)*1)/sqrt(3))/(sqrt(15)/(2*sqrt(5)) + -1*sqrt(12)))**2. 52 Simplify (-2*sqrt(576))/(sqrt(2)*1*6) + -6*(5 + (sqrt(4)/(-2*sqrt(2)))**2). -33 - 4*sqrt(2) Simplify (-4*sqrt(10)/sqrt(5))**2 + -5*(sqrt(2) + 1)**2 + -1 + (sqrt(32)*-5 - sqrt(32))**2. -10*sqrt(2) + 1168 Simplify (3*(sqrt(13) - (sqrt(208) + 1*sqrt(208) + sqrt(208))) - (4 + sqrt(468) + (sqrt(468) - 2*sqrt(468)) + sqrt(468)))**2. 312*sqrt(13) + 19789 Simplify ((2 + sqrt(931) + 2)**2 + ((2 + sqrt(931))*5)**2)*-2. -48644 - 1512*sqrt(19) Simplify 1 + (1*sqrt(108))/(-3*sqrt(729)). -2*sqrt(3)/27 + 1 Simplify 4 + (3 + (sqrt(1008)/sqrt(9) - 4*(sqrt(7) + 0)))**2. 13 Simplify 2 + sqrt(931) - (sqrt(1900) + -1) - ((sqrt(684) - (sqrt(684)*4*1)**2) + sqrt(684)). -15*sqrt(19) + 10947 Simplify 1 + (4*6*(2 + sqrt(1088) + 0))**2. 18432*sqrt(17) + 628993 Simplify (5*(sqrt(84) - (sqrt(84) + (sqrt(84)*2 - sqrt(84)))))/sqrt(12) + sqrt(49)/(1*sqrt(567)). -44*sqrt(7)/9 Simplify (((2 + sqrt(931) + 1 + sqrt(931) - sqrt(931)) + (sqrt(931) - (-4 + 1*sqrt(931))))*-2)**2*1. 392*sqrt(19) + 3920 Simplify (5*-3*(1 + (sqrt(99)*-2 - sqrt(99)))*-3)**2. -36450*sqrt(11) + 1806300 Simplify 3 + 1*(sqrt(7) - (3 + sqrt(28)/sqrt(4) + sqrt(7))) + ((-4 + sqrt(14)/sqrt(2))*-4)**2 + -3. -129*sqrt(7) + 365 Simplify ((2*sqrt(70)*4 - (sqrt(70) + 4*sqrt(70)*2))/(5*sqrt(80)/(sqrt(8)*-1)) + 4)**2. 8*sqrt(7)/5 + 407/25 Simplify ((2 + sqrt(11) + 1 + sqrt(11) + sqrt(11) + sqrt(11) - (4 + sqrt(22)/sqrt(2)))*-4 - (sqrt(440)/sqrt(72))/(sqrt(5) + (sqrt(45) - sqrt(180)/sqrt(4))))**2. -296*sqrt(11)/3 + 15203/9 Simplify (((sqrt(26) + -1*sqrt(26))*3)/sqrt(2) + (sqrt(65) - ((sqrt(65) - 3*-3*sqrt(65)) + sqrt(65) - sqrt(65)))/sqrt(5))**2. 1053 Simplify 1*((2*sqrt(154) + sqrt(154) - sqrt(154))/sqrt(11) - sqrt(14))/(sqrt(2) + (sqrt(162)*2 - sqrt(162))). sqrt(7)/10 Simplify (((sqrt(21) - 2*-2*sqrt(21))*3)/(sqrt(63) - (sqrt(378)*-2)/sqrt(6))*-1)**2. 25/3 Simplify (sqrt(204)/(sqrt(484) - -1*sqrt(484)))/(5*(sqrt(3)*1 + sqrt(3) + sqrt(3))*4). sqrt(17)/1320 Simplify (1*(sqrt(468) + 4*sqrt(468)))/((sqrt(72)*4 + sqrt(72))/sqrt(8)). 2*sqrt(13) Simplify -3*(sqrt(240)/sqrt(4) + sqrt(60))/sqrt(5) - (sqrt(1452)*2 - sqrt(72)/(sqrt(6) - sqrt(6)*-2))**2. -16900/3 - 12*sqrt(3) Simplify 4*(-5*(0 + (sqrt(33)/sqrt(3))**2) + ((-2*sqrt(11) + sqrt(11))**2 + -1 + sqrt(11) - ((sqrt(44)/sqrt(2))/sqrt(2))**2)) + -5. -229 + 4*sqrt(11) Simplify sqrt(91)/(sqrt(7) + 2*sqrt(175)) + (sqrt(1300)*-2 + -5)**2. 2201*sqrt(13)/11 + 5225 Simplify (-1 + (sqrt(2) - sqrt(2)*2) + 4 + sqrt(162) + 4 + 1 + sqrt(162))**2 + -4. 272*sqrt(2) + 638 Simplify -4 + 5 + (sqrt(8) - sqrt(40)/(-1*sqrt(5)))/(sqrt(24)/sqrt(6)*2). 1 + sqrt(2) Simplify 5 + 0 + sqrt(19) + -1 - (6*(sqrt(76) + 2 + sqrt(76)))**2. -11084 - 575*sqrt(19) Simplify (3*((sqrt(2754) - 5*sqrt(2754)) + sqrt(2754)) - sqrt(2754))/((-3*sqrt(200) + sqrt(200))*4). 9*sqrt(17)/8 Simplify (sqrt(1053) + 1 + sqrt(65)/sqrt(5)*-6 + 2*(sqrt(13) - (sqrt(91)/sqrt(7) + -4)))**2. 54*sqrt(13) + 198 Simplify -2*(sqrt(612)*2*-2 - (sqrt(612) + 1 + 4))*4. 40 + 240*sqrt(17) Simplify (-1 + sqrt(432) + -1 + 2 + -1 + sqrt(108))**2*-4. -3892 + 144*sqrt(3) Simplify (sqrt(3025) + 5*sqrt(3025)*-5)/((sqrt(2880)*2)/sqrt(4)). -11*sqrt(5) Simplify -5 + (sqrt(72)*-2*-2)/(sqrt(12)/(sqrt(2)*2)) + -2. -7 + 16*sqrt(3) Simplify (sqrt(85)/sqrt(180))**2 + 2 + (sqrt(187)/(sqrt(22)/sqrt(2)))**2. 701/36 Simplify ((-4*sqrt(187)*3)/(sqrt(11) - (1*sqrt(132) + sqrt(132))/sqrt(12)))**2. 2448 Simplify 2*((2*sqrt(198) + sqrt(198))/sqrt(2) - -1*(sqrt(1584) + sqrt(1584) + 0))**2. 23958 Simplify (0 + -3*(sqrt(300) + 2) + 2*(-1 + sqrt(300)) + (sqrt(300) - (sqrt(300) + sqrt(300) + 0 + sqrt(300) + 4)))**2. 720*sqrt(3) + 2844 Simplify (sqrt(55) - -2*sqrt(6655))/((sqrt(165)/sqrt(3))/sqrt(5)). 23*sqrt(5) Simplify (-3*((2*sqrt(102) + sqrt(102) + sqrt(102) - sqrt(102)) + sqrt(102) - sqrt(102)) + sqrt(102))/sqrt(6)*6 - (-5*sqrt(153)*2 + sqrt(153) + 4). -21*sqrt(17) - 4 Simplify (-4*-2*(sqrt(3) + 0) - (2*sqrt(3) + -4 + -3))**2. 84*sqrt(3) + 157 Simplify (4*(1 + sqrt(171) + -1 - sqrt(171)) + (-4*-1*sqrt(171) - (sqrt(171) + -1)*-6))**2. -360*sqrt(19) + 17136 Simplify -5*(-4 + sqrt(78)/sqrt(216))**2. -2945/36 + 20*sqrt(13)/3 Simplify (sqrt(1800) - ((1 + (sqrt(1800) - (0 + sqrt(1800))) - sqrt(1800)) + sqrt(1800)) - (-2 + sqrt(288) - 2*sqrt(2592)))**2. 180*sqrt(2) + 16201 Simplify ((sqrt(784) - sqrt(784)*1 - 1*sqrt(144))/(sqrt(40)/(sqrt(605)*2)))**2. 8712 Simplify (sqrt(132) - -3*1*sqrt(132))/sqrt(3072). sqrt(11)/4 Simplify -6*((sqrt(2268) + 2)**2 + sqrt(63))*-4. 1800*sqrt(7) + 54528 Simplify ((sqrt(108) - (sqrt(108) + sqrt(108) + 0 - sqrt(108)))*1 - (sqrt(3) - (sqrt(3) + 0 + 2*sqrt(3)))*-2)**2. 48 Simplify (-2*(sqrt(343) + 0 + 5 - sqrt(343))*-6)**2*-2. -7200 Simplify -6*((sqrt(500) - (-1 + sqrt(500)))**2*-4 - (sqrt(500) + 3*(3*sqrt(500))**2)) + 4. 60*sqrt(5) + 81028 Simplify 3 + (sqrt(539)*-2 + -1 - sqrt(539) - (3 + sqrt(539)*-2))**2 + 2. 56*sqrt(11) + 560 Simplify ((-6*(sqrt(242) + -2) + -5)**2 + 5)*-1. -8766 + 924*sqrt(2) Simplify -4*(((sqrt(154)*2*-2)/sqrt(11))/(sqrt(49)/(sqrt(35)/(sqrt(10)/sqrt(2) + sqrt(5)))))**2. -32 Simplify (1*sqrt(637)*-4 + sqrt(572)/(sqrt(66)/sqrt(6)))**2. 8788 Simplify 4 + (-2*2*sqrt(132)/(sqrt(12) - (sqrt(12) - sqrt(108)))*-5)**2. 4436/9 Simplify (sqrt(13) + (-1*sqrt(637) - sqrt(637)) - (1 + sqrt(13) + sqrt(52))) + sqrt(52)/sqrt(196) + sqrt(13) + (3*sqrt(52) + sqrt(52))/sqrt(4). -76*sqrt(13)/7 - 1 Simplify (sqrt(272) + (sqrt(272) - (-4 + sqrt(272))))*-6 + (-2 + (sqrt(17)*-2)**2)*5. -24*sqrt(17) + 306 Simplify ((sqrt(2) - (sqrt(2)*-2 + -4))*-6)**2 + ((sqrt(60)/(2*sqrt(6)) - sqrt(10)) + sqrt(10))/sqrt(5). 1729*sqrt(2)/2 + 1224 Simplify -2*2*sqrt(76)*-1*-2. -16*sqrt(19) Simplify (-4 + sqrt(1377) + 1)**2 + sqrt(1377) + -3 + -3 + 0. -45*sqrt(17) + 1380 Simplify 0 + (sqrt(104)*3*-4)/sqrt(2) + 2. -24*sqrt(13) + 2 Simplify (-3*(2 + -1*(sqrt(200) - (sqrt(200) + -1)) + -2))**2. 9 Simplify -4 + -4*(sqrt(187) + -2*sqrt(187)*1 + sqrt(187))/sqrt(11)*6. -4 Simplify ((4*(sqrt(18) - (sqrt(18) + 1*sqrt(18) + sqrt(18))))/(sqrt(54) - sqrt(1350)))**2 + 5. 19/3 Simplify -3*(sqrt(304) + (sqrt(304) - (5*(sqrt(304) + 0))**2) + (sqrt(304) + sqrt(304) + -5*(sqrt(304) + -1*sqrt(304) + sqrt(304)) - sqrt(304))). 24*sqrt(19) + 22800 Simplify (2 + 2 + sqrt(55)/sqrt(5)*1 + (sqrt(11) - (2*sqrt(396))**2))*5. -7900 + 10*sqrt(11) Simplify 4*(sqrt(475))**2 + (sqrt(1900) + 2)**2 + 2 + -4. 40*sqrt(19) + 3802 Simplify (3*sqrt(1584)*1 - (sqrt(44)/sqrt(4)*-5 - (1*sqrt(396) - sqrt(11))))**2. 23276 Simplify ((0 + sqrt(13)*1)*5 + -4 + (sqrt(468) - sqrt(468)*-3))**2. -232*sqrt(13) + 10949 Simplify (-4*(sqrt(931) - (sqrt(931) - (sqrt(931) - (0 + sqrt(931) + -5)))) + (sqrt(931) + 0 + sqrt(931) + -4)*-5)**2. 93100 Simplify -6*-5*(-2 + (1 + sqrt(48))*2*4). 180 + 960*sqrt(3) Simplify 6*-2*(-4*(-1 + sqrt(1539)))**2*6. -1774080 + 20736*sqrt(19) Simplify -4*-2*sqrt(539) - (sqrt(539) - (((3*-4*sqrt(539))**2 - sqrt(539)) + sqrt(539))). 49*sqrt(11) + 77616 Simplify ((2*sqrt(147) - sqrt(147))/sqrt(7)*-1)/(-3*sqrt(567)). sqrt(3)/27 Simplify (-3*sqrt(204)*1)/sqrt(12) + (3 + sqrt(425) + 1)**2. 37*sqrt(17) + 441 Simplify ((sqrt(288)*2 - sqrt(288) - sqrt(8)) + sqrt(72)/sqrt(36))/((5*2*sqrt(44))/sqrt(11)). 11*sqrt(2)/20 Simplify (5*(sqrt(99) - 1*sq
{ "pile_set_name": "DM Mathematics" }
(j) = -3*j**2 - 82 + 4*j**2 - 9*j - 61 + 163. Let q be f(5). Factor q + 3/11*b**2 - 4/11*b + 1/11*b**3. b*(b - 1)*(b + 4)/11 Let q be 403270/125919 + (-18)/(-51). Factor q + 2/9*s**2 + 34/9*s. 2*(s + 1)*(s + 16)/9 Let p = -2524 + 53008/21. Let q(y) be the second derivative of 0 + 35*y + 0*y**2 - p*y**4 + 2/7*y**3. Factor q(m). -4*m*(4*m - 3)/7 Factor 18 - 74*c - 2*c**5 - 21*c**3 - 40*c**3 - 23*c**3 + 7*c**4 + 116*c**2 + 19*c**4. -2*(c - 9)*(c - 1)**4 Let d(c) be the second derivative of c**6/30 - 3*c**5/5 + 29*c**4/12 - 3*c**3 + 2615*c. Find k, given that d(k) = 0. 0, 1, 2, 9 Let p(u) = u**3 + 6*u**2 - 8*u + 10. Let n be p(-8). Let l = -48 - n. Solve -20*g**3 + 3*g**2 + g**2 + 8*g**3 + 22*g**3 + l*g**4 = 0. -1, -2/3, 0 Suppose -699*q = -701*q + 108. Let o be (-45)/q*(-9)/60. Factor 1/4*g - o*g**2 + 0. -g*(g - 2)/8 Let c(x) = -19*x + 3. Let s be c(3). Let m = -47 - s. Determine d so that -m*d**2 - 10*d - d**2 + 5*d**2 - 5*d - 18 = 0. -3, -2 Let l = -755/4 + 191. Let d(z) = z**3 - 89*z**2 + 500*z - 164. Let s be d(83). Solve l*j - 3/4*j**3 - 3/2 + 0*j**s = 0 for j. -2, 1 Let o(t) be the first derivative of -2*t**5/115 - 143*t**4/46 - 10366*t**3/69 - 5041*t**2/23 - 327. Factor o(s). -2*s*(s + 1)*(s + 71)**2/23 Let d(u) = -12*u**3 + 2*u**2 - 36*u + 16. Let b(v) = -27*v**3 + 5*v**2 - 74*v + 32. Let y(r) = -6*b(r) + 13*d(r). Factor y(p). 2*(p - 2)*(p + 2)*(3*p - 2) Let h = -5065/2 + 2534. Let s(b) be the second derivative of 20*b**3 + 3*b + 0 - h*b**5 - 1/6*b**6 - 40*b**2 - 5/12*b**4. Factor s(y). -5*(y - 1)**2*(y + 4)**2 Suppose v + 2 = -w, 374*w - 370*w = -5*v - 12. Let g(p) = -p**3 + 15*p**2 - 13*p - 14. Let a be g(14). What is k in -1/5*k**w + 7/5*k + a = 0? 0, 7 Solve -2/17*h**2 - 668/17 - 670/17*h = 0. -334, -1 Let r(p) be the second derivative of -p**5/30 + 11*p**4/12 + 4*p**3 - 29*p**2/2 + 2*p - 42. Let u(d) be the first derivative of r(d). Factor u(y). -2*(y - 12)*(y + 1) Suppose 343*g - 687*g + 3 = -347*g + 3*t, 0 = -5*t + 5. Factor 0*p + 5/4*p**4 + g*p**2 + 5/4*p**3 + 0. 5*p**3*(p + 1)/4 Factor 261*x**2 + 18*x**3 + 9*x**3 + 7*x**4 - 6*x**3 + 351*x - 4*x**4 + 36*x**3. 3*x*(x + 3)**2*(x + 13) Let q(a) be the first derivative of 46/5*a**4 + 25 + 0*a + 4/15*a**6 + 62/5*a**3 + 66/25*a**5 + 18/5*a**2. Suppose q(j) = 0. What is j? -3, -2, -1/4, 0 Let t(b) = -5*b**4 + b**3 + b. Let u(g) = 18*g**4 - 45*g**3 - 267*g**2 - 345*g. Let n(d) = 3*t(d) + u(d). Factor n(i). 3*i*(i - 19)*(i + 2)*(i + 3) Let g(d) be the second derivative of 1/4*d**5 - 35/6*d**3 - 180*d + 0 - 5/2*d**4 + 0*d**2. Determine c, given that g(c) = 0. -1, 0, 7 Let c(s) be the first derivative of 0*s**3 - 73 + 0*s**2 - 4/25*s**5 - 3/5*s**4 + 0*s. Let c(t) = 0. What is t? -3, 0 Let n(p) = 3*p**2 - 87*p - 625. Let a be n(35). Let l(s) be the first derivative of 1/20*s**a + 1/8*s**4 + 0*s**3 + 32 + 0*s**2 + 0*s. Solve l(w) = 0. -2, 0 Let x(h) = 4*h - 160. Let q be x(44). Suppose 4*l**3 + 2*l**3 - 11*l**3 - q - 35*l**2 + 67*l - 17 + 6*l**3 = 0. What is l? 1, 33 Let z(j) be the second derivative of -1/28*j**4 - 11*j + 0 + 17/7*j**3 - 867/14*j**2. Factor z(y). -3*(y - 17)**2/7 Let t = 43549/12 - 217709/60. Factor t*s**2 - 3/5 - 3/5*s + 3/5*s**3. 3*(s - 1)*(s + 1)**2/5 Let m(f) = -f**2 + 378*f - 54300. Let b(a) = -8*a - 1. Let c(s) = -22*b(s) + 2*m(s). Factor c(x). -2*(x - 233)**2 Suppose -3*p + v - 256 = 0, -3*p - 256 = -4*v + 12. Let x be (-14)/p*(1 - -9). Find l such that -x*l**2 + 2 + 13/3*l = 0. -2/5, 3 Let i be 6555/8740*12/130*8/18. Let r(f) be the first derivative of -i*f**5 + 0*f**2 + 4/39*f**3 + 0*f**4 + 6 - 2/13*f. Factor r(m). -2*(m - 1)**2*(m + 1)**2/13 Let k = -245 - -372. Let o = k + -74. Factor -15*f**2 - 5 + 5 + 15*f**3 + 5*f - o*f**4 + 48*f**4. -5*f*(f - 1)**3 Let p(m) be the first derivative of 3*m**4/28 - 10*m**3 + 3051*m**2/14 - 12636*m/7 + 2477. Factor p(y). 3*(y - 52)*(y - 9)**2/7 Suppose -2*g - 3*f = -g - 11, 0 = -g - 4*f + 10. Factor 30*k - 12*k**2 - g*k + 15*k**4 - 6 - 13*k**4. 2*(k - 1)**3*(k + 3) Let z(m) = -4*m**2 - 3*m + 6. Let k(n) = -3*n**2 - 2*n + 4. Let q(d) = 6*k(d) - 5*z(d). Let f(j) = 2*j**2 + 4*j - 8. Let o(p) = -3*f(p) + 4*q(p). Factor o(i). 2*i**2 Let q be 3 - 62/(-13)*(-6498)/36. Let r = q - -858. Solve 2/13*m - r*m**2 + 12/13 = 0 for m. -2, 3 Let q(h) be the first derivative of 2*h**4 + 370*h**3/3 - 542*h**2 - 294*h - 553. Factor q(s). 2*(s - 3)*(s + 49)*(4*s + 1) Let h(p) = 35*p**2 - 2373*p + 2316. Let q(y) = -405*y**2 + 28475*y - 27795. Let u(a) = -25*h(a) - 2*q(a). Determine b, given that u(b) = 0. 1, 462/13 Factor 0 - 44/9*i**3 + 4/9*i**4 - 76/3*i**2 - 20*i. 4*i*(i - 15)*(i + 1)*(i + 3)/9 Suppose -6*a = 9 - 39. Suppose -p - 3*p - 176 = -a*o, -5*o + 5*p + 175 = 0. Factor -o*z**4 + 49*z**3 + 64*z**2 - 8*z**4 + 6*z**5 - 34*z**3 + 49*z**3. 2*z**2*(z - 4)**2*(3*z + 2) Let t(v) = 297*v - 194. Let i be t(6). Determine m, given that m**2 - 4*m**2 - i*m + 1585*m + 90 = 0. -6, 5 Determine c so that -374 - 124/3*c - 2/3*c**2 = 0. -51, -11 Let l(u) = -u**3 - 7*u**2 - 9*u - 15. Let p be l(-6). Factor -4*f**4 - 11*f**5 - 3*f**4 - 22*f**2 + 10*f**5 - 24*f**p - 3*f**4 - 7*f. -f*(f + 1)**3*(f + 7) Let q(v) = v**2 - 16*v + 51. Let b be q(12). Factor -3*s**3 + 9*s + s**b + 3*s**2 + s + s**3. -s*(s - 5)*(s + 2) Factor 145 - 5/4*i**2 - 575/4*i. -5*(i - 1)*(i + 116)/4 Factor 111/5*z - 3/5*z**3 + 558/5 - 18*z**2. -3*(z - 3)*(z + 2)*(z + 31)/5 Let l(p) be the first derivative of -2*p**6/21 - 4*p**5/7 - 10*p**4/7 - 40*p**3/21 - 10*p**2/7 - 4*p/7 + 1164. Factor l(u). -4*(u + 1)**5/7 Let l be (-1 + (-26)/(-10))*70/4. Let q(h) = 2*h - 1. Let x(b) = -2*b**2 - 30*b - 70. Let u(p) = l*q(p) - 2*x(p). Factor u(c). 4*(c + 1)*(c + 28) Let q = 368 + -363. Determine p so that 15*p**4 + 3*p**5 - 2426*p**3 + q*p**2 + 2447*p**3 + 4*p**2 = 0. -3, -1, 0 Let d(q) be the third derivative of -q**5/180 + 191*q**4/36 - 379*q**3/6 - 4172*q**2. Let d(i) = 0. What is i? 3, 379 Let z(c) be the third derivative of -c**6/180 - 37*c**5/90 - 31*c**4/6 + 925*c**2. Let z(t) = 0. What is t? -31, -6, 0 Let o = 3032 - 9088/3. Let r(h) be the first derivative of -1/9*h**3 + 1/3*h**2 + o*h + 2. Suppose r(u) = 0. Calculate u. -2, 4 Let a(f) be the third derivative of 8*f**7/245 + 121*f**6/35 + 16657*f**5/140 + 1089*f**4 + 4536*f**3 + 1942*f**2. Let a(d) = 0. What is d? -28, -9/4 Let i(s) be the second derivative of 14*s - 49/6*s**7 - 42/5*s**5 - 8/21*s**3 - 8/3*s**4 - 196/15*s**6 + 0*s**2 + 0. Solve i(z) = 0. -2/7, 0 Solve 480 - 97*g - 94*g - 97*g - 4*g**2 + 280*g = 0 for g. -12, 10 Let i be -9*3/(-9) - (-3 - 4). Let z be (-6)/(-63)*((-45)/i - -9). Let -12/7 + z*x**2 + 0*x = 0. What is x? -2, 2 Let i(b) = -5*b**2 + 15*b + 1. Let r(d) = d**2 - 3*d. Let p(x) = -11*x + 11. Let q be p(4). Let c(h) = q*r(h) - 6*i(h). Factor c(o). -3*(o - 2)*(o - 1) Let q(i) be the first derivative of -i**4/3 - 104*i**3/9 - 272*i**2/3 + 512*i - 5009. What is h in q(h) = 0? -16, -12, 2 Factor 15*m - 3*m**2 - 136*m + 54*m - 134*m - 24*m. -3*m*(m + 75) Let q(w) = -12*w**3 + 151*w**2 - 543*w + 706. Let c(k) = -16*k**3 + 201*k**2 - 725*k + 942. Let b(u) = 7*c(u) - 9*q(u). Find z, given that b(z) = 0. 3, 4, 5 Let o(f) = -5*f**4 + 29*f**3 + 40*f**2 - 76*f + 8. Let b(r) = -9*r**4 + 60*r**3 + 80*r**2 - 152*r + 14. Let j(y) = -4*b(y) + 7*o(y). Let j(u) = 0. Calculate u. -2, 0, 1, 38 Let g(p) be the second derivative of 5/6*p**3 + 0*p**2 + 3/8*p**4 + 17/80*p**5 + 0 + 7/240*p**6 - 13*p. Let o(z) be the second derivative of g(z). Factor o(q). 3*(q + 2)*(7*q + 3)/2 Let h(w) = 4*w**2 + 540*w + 540. Let n be h(-134). Let s = -87 - -613/7. Factor -8/7*d**3 + s*d**5 + 0*d**2 + 0*d + 0 + 4/7*d**n. 4*d**3*(d - 1)*(d + 2)/7 Let x(t) be the second derivative of -15/2*t**2 - 269*t + 0 - 25/6*t**3 + 5/6*t**4. Factor x(g). 5*(g - 3)*(2*g + 1) Let x be ((-80)/24 - (-2 + (-33)/(-9)))/(-1). Let z(k) be the first derivative of 2/45*k**x + 2/9*k**2 - 6 + 0*k**4 - 2/9*k**3 + 0*k. Factor z(j). 2*j*(j - 1)**2*(j + 2)/9 Let k(s) be the first derivative of 5*s**4/16 + 75*s**3/4 + 415*s**2/8 - 645*s/4 - 2621. What is h in k(h) = 0? -43, -3, 1 Factor -3645 - 135*c - 5/4*c**2. -5*(c + 54)**2/4 Let p be 6/3 + -4 - -4. Find m such that 5*m + 2*m**p - 2 - 57*m**5 + 58*m**5 - 2*m - 4*m**3 = 0. -2, -1, 1 Suppose -17690 = -646*m + 656*m. Let y = m - -22999/13. Find r
{ "pile_set_name": "DM Mathematics" }
maller than -4/33261? True Is 9 bigger than 140/17? True Is -598 at most as big as 0? True Which is bigger: -1 or 7/32? 7/32 Which is greater: 0 or -34/1379? 0 Is 956/11 at most 87? True Which is smaller: -156 or -161? -161 Is 549/8 <= 70? True Is 50 less than 452/9? True Which is greater: -1 or 35/141? 35/141 Which is smaller: 1483 or 2963/2? 2963/2 Which is smaller: 2/5 or 0.12? 0.12 Which is bigger: 2094 or 2096? 2096 Which is bigger: -1 or -257? -1 Which is smaller: 1 or 4/439? 4/439 Do 1 and 1/131 have the same value? False Which is smaller: 5 or 3? 3 Which is bigger: 5121/7 or 732? 732 Which is greater: 12/35 or -3/2? 12/35 Do -22 and -920/43 have different values? True Is 0 less than 2/10107? True Is 439/2 at least 220? False Which is smaller: -4/321 or -1? -1 Which is smaller: 132 or 134? 132 Is 2 > -13/18? True Which is smaller: 0.1 or -15726? -15726 Which is smaller: 310 or 311? 310 Is -4705 not equal to -4705? False Do 81 and -9 have the same value? False Is -2/23 greater than or equal to 0? False Is -2.63 less than -9? False Which is smaller: -4/3 or 0.2? -4/3 Is 738 < 3? False Which is smaller: -0.0589 or 0? -0.0589 Is 696 at least as big as 698? False Which is greater: -6 or -1.4? -1.4 Which is smaller: 10 or 207/22? 207/22 Are -3355 and 1 nonequal? True Which is smaller: -949 or -0.2? -949 Is 1962 greater than 13729/7? True Which is greater: -1 or 0? 0 Is 1557 smaller than 7786/5? True Is -87 not equal to 12? True Which is greater: -121 or -7? -7 Which is bigger: -1 or -4/28295? -4/28295 Which is smaller: 101 or 112? 101 Which is smaller: 5 or 10? 5 Which is bigger: -88 or -90? -88 Which is greater: -52 or -68? -52 Is -4/3149 less than -1? False Is -93 less than -53? True Is 0 smaller than 1/86? True Which is smaller: -55/134 or -1? -1 Which is bigger: 54 or 48? 54 Is -27 at least as big as -22? False Is -1 bigger than 5/1042? False Which is greater: -39/10 or -4? -39/10 Which is greater: 177 or -3/11? 177 Is 13/8 at least as big as -41/5? True Which is smaller: 84/659 or 0? 0 Do -8 and 0.3 have the same value? False Which is greater: -0.1457 or 0? 0 Is 0.1 >= 1/494? True Does 0 = 5/208? False Which is smaller: -185 or -186? -186 Which is smaller: -10.5 or 1? -10.5 Is 690 less than 691? True Which is smaller: 234 or 239? 234 Which is smaller: 1909 or -14? -14 Which is bigger: 38 or -172? 38 Is -0.027 at least as big as 2/17? False Which is bigger: -864 or -0.1? -0.1 Which is greater: -2/3295 or -1? -2/3295 Is 20 bigger than 18? True Which is bigger: -14 or 16/31? 16/31 Which is smaller: -0.3 or 83.1? -0.3 Are 13/3871 and 1 equal? False Is -65/33 at least -2? True Is -1 less than 3/25999? True Is -18.5 at least -1/2? False Is -15 greater than or equal to 9? False Is 11323 not equal to -2/3? True Is -163 != -649/4? True Which is smaller: -577 or 5? -577 Which is smaller: -208/19 or -11? -11 Is 35 equal to 36? False Is 5/3 < 98? True Is 15.66 at most as big as 1? False Are -2.7 and 0.02 non-equal? True Is 4623 greater than 4622? True Are -1 and 3/3190 nonequal? True Which is bigger: -2/18497 or 0? 0 Is -224/17 > 0.1? False Which is smaller: -214 or -217? -217 Which is bigger: 103 or 104? 104 Is 49 > -31? True Which is greater: 429 or 431? 431 Which is smaller: 19968 or 19969? 19968 Is 5795 at most 5795? True Is 722 less than 724? True Which is bigger: 76 or 87? 87 Which is bigger: -24 or 1? 1 Is -0.1 >= -0.09301? False Which is bigger: -2.3 or -5/6? -5/6 Is -393 bigger than -393? False Which is smaller: -919 or 1? -919 Which is greater: 354 or 352? 354 Which is smaller: -26 or -19? -26 Is 1 greater than 22/47? True Is -1 at least 2/247? False Which is greater: 1 or -6589? 1 Which is greater: 0.1 or 72359? 72359 Is 1 > -3/11? True Is -6/143 smaller than 2? True Which is bigger: 0.1 or -1.829? 0.1 Which is greater: -39 or -79/2? -39 Is -310 at most -311? False Which is smaller: -142/11 or -12? -142/11 Which is greater: -331/47 or -6? -6 Are 573 and -56 equal? False Is -92/29 equal to -4? False Which is smaller: -716 or 2/13? -716 Which is greater: -1790 or -1788? -1788 Which is greater: -171 or 2/11? 2/11 Is 7 greater than or equal to -1/13? True Which is bigger: 0.1 or 188? 188 Is -14 less than or equal to -380/27? False Is 12079 < 1? False Which is greater: -403 or -402? -402 Which is smaller: 15 or 298? 15 Which is smaller: -2724 or -2732? -2732 Is -217/33 > -6? False Does 0 = 10/191? False Is 60 greater than or equal to 99? False Which is bigger: 36 or 45? 45 Which is smaller: -12064/7 or -1722? -12064/7 Does -58 = -7? False Which is smaller: 195 or 194? 194 Is 207/8 greater than 1? True Which is smaller: -273 or 35? -273 Are 59.4 and 0 unequal? True Is -9/47 equal to 0? False Is 275 at most 276? True Which is bigger: 38 or -0.2? 38 Which is smaller: -375 or -376? -376 Is 1 != 17/81? True Is 1868 at least 1868? True Do -12 and -183/17 have the same value? False Is -0.1 equal to 11877? False Which is greater: -3/7 or -95? -3/7 Which is bigger: 881 or 880? 881 Does 0 = -4/427? False Do 391 and 386 have the same value? False Which is smaller: 1/12 or 14? 1/12 Is -4 greater than -0.099? False Which is smaller: 1/109 or -1? -1 Is -1496 less than or equal to -1496? True Is 150 at least 2? True Are -10 and -17 unequal? True Is 2318 at most 2318? True Is 6988 greater than 6989? False Which is smaller: -9 or -88/9? -88/9 Which is smaller: -14 or -8? -14 Which is smaller: 9 or 139/18? 139/18 Which is greater: 0 or 90/227? 90/227 Is 307 equal to 307? True Is -59/3 greater than or equal to -21? True Which is smaller: -8 or -93/11? -93/11 Which is smaller: -284 or -3? -284 Are -2 and 1066 non-equal? True Which is greater: 872/11 or 80? 80 Does 7/75 = 1? False Which is smaller: -242 or -241? -242 Which is greater: 7/692 or 1? 1 Is 7/2182 greater than or equal to 0? True Which is bigger: -1365 or -1367? -1365 Is -0.024457 != 0.1? True Which is bigger: 10 or 4? 10 Is 98/9 bigger than 11? False Are 9 and -40 nonequal? True Which is greater: 19 or 34? 34 Which is smaller: -11 or -3/16? -11 Which is smaller: 4 or 383/98? 383/98 Do 0 and 13/282 have different values? True Which is bigger: -4 or -3? -3 Is -450 at most -1351/3? False Which is greater: -47/6 or 2? 2 Is 2731 < 1/4? False Which is smaller: -169 or -185? -185 Is -71 bigger than -107? True Is 128/5 smaller than 26? True Which is greater: 46/19 or 3? 3 Is 563 != 564? True Which is bigger: -1372 or -1373? -1372 Does -2 = -75/28? False Which is bigger: -1 or -3/580? -3/580 Is 501 bigger than 502? False Is -1 > 0.3531? False Is -6 at least -422? True Which is greater: -44/111 or 0? 0 Do 109 and 106 have different values? True Is 1145 bigger than 1145? False Is -67 >= 5? False Is 102 smaller than -49? False Which is smaller: -27 or 8? -27 Are 0.3 and -889/3 nonequal? True Which is bigger: 151 or 1/4? 151 Which is smaller: -1 or 684? -1 Is -3 greater than or equal to 5/2? False Is -10/29 at least as big as 1? False Which is greater: 145 or 147? 147 Are -151 and -149 non-equal? True Which is bigger: -126.3 or 0? 0 Are -782/33 and -24 equal? False Is -63 at least as big as -49? False Is 6/23 at least 1? False Is -10 greater than -4? False Are 0 and -2/4681 equal? False Are 0.585 and 21 unequal? True Which is smaller: 8 or 282/31? 8 Which is greater: 1 or -5/1577? 1 Are -5506 and -5500 non-equal? True Which is greater: 2 or -119/5? 2 Which is greater: -17 or -327/20? -327/20 Which is bigger: 3 or 46/13? 46/13 Which is bigger: -24 or -29? -24 Which is greater: -1328 or -1307? -1307 Which is smaller: 2/11 or -2/35? -2/35 Is 54 greater than or equal to 52? True Which is smaller: 1 or -6/253? -6/253 Is -1 smaller than -2/799? True Is 19 >= 21? False Is -1291 not equal to 0.6? True Is -62 smaller than -56? True Which is bigger: 1/3 or 2281/4? 2281/4 Which is greater: -126 or -147? -126 Is -2082 at most -2080? True Is 2/3 equal to -1.199? False Does 7610 = 7610? True Which is smaller: -741 or -0.1? -741 Is -631 != -630? True Which is greater: -1269/7 or -181? -181 Which is greater: 0.062 or 0? 0.062 Is -1/2471 >= 1? False Is 102/7 less than 14? False Is 31 != 17? True Are 0 and 30/347 equal? False Which is greater: -5865 or -5864? -5864 Is -2/3 less than or equal to -2? False Is 1 at least as big as
{ "pile_set_name": "DM Mathematics" }
*4 Expand 4*j - 5*j - 3*j + (0*j - 4*j - 2*j)*(1 + 1 - 1). -10*j Expand (-6*b + 2*b + 2*b)*(2*b + 4*b - 2*b + (2 + 5 - 5)*(-b + b - b)). -4*b**2 Expand (-1 - 2 - 1)*(0 + 4 - 2)*(-4 - 2*h + 4)*(3*h**3 - 2*h**2 + 2*h**2). 48*h**4 Expand 3*s - 4*s + 0 + 3 + (-4 + 4 + 1)*(2*s - 4 + 4). s + 3 Expand (-1 + 3 - 3)*(-62 + 62 + 7*i**2). -7*i**2 Expand -12*n + 5*n + 8*n + 0*n - 2*n + 4*n + (6 - 1 - 4)*(n - 3*n + n). 2*n Expand (-1 - 1 - 2)*(-4*t - t + t). 16*t Expand (2*g**2 - 3*g**2 + 5*g**2 + (1 - 3 + 1)*(5*g**2 - 4*g**2 - 2*g**2))*((-g + g - 2*g)*(2*g + 2*g - 2*g) + g**2 - g + g). -15*g**4 Expand (-1 + 0 + 3)*(-2 + 2 + s) + 9*s - 5*s + 14*s. 20*s Expand -13*x + 14*x + 2 + 10*x + 2*x + 2*x - 2*x + (0 + 2 + 0)*(-2*x + 0 + 0) - 2*x + 2 - 2 - 4 + x + 4 + 3 - x - 3. 7*x + 2 Expand (-a**2 + a**5 + a**2)*(11 + 6 + 3). 20*a**5 Expand 4*s**3 - s**3 - 4*s**3 + (-4*s**2 - s**2 - s**2)*(0 + 2*s + 0). -13*s**3 Expand (-1 + 5 - 3)*(19*a**2 + 10*a**3 - 19*a**2)*(0 - 2 - 3). -50*a**3 Expand (121 + 24*t**3 - 121)*(0*t - 4*t + 6*t). 48*t**4 Expand (5 + 4*c**2 - 5)*(-7 + 2 + 0 + (1 + 0 + 1)*(-3 + 0 + 5)). -4*c**2 Expand (19 - 11 + 14 + 27)*(2*c**3 + c**3 + 0*c**3). 147*c**3 Expand (0 - 2 - 1)*(8*y + 2*y + 11*y**2 - 8*y). -33*y**2 - 6*y Expand (3 + 3*l - 3)*(3*l - 2*l + 0*l) - 6*l - 3 + 9*l + 4 + l**2. 4*l**2 + 3*l + 1 Expand -2*y**2 - y + y + (-4*y + 0*y + 2*y)*(-3 + 3 + 4*y) + 6*y**2 - 3*y**2 + 3*y**2. -4*y**2 Expand (5 - 2*f - 5)*(0 + 0 + 2) - f + 0*f + 0*f - 3*f + 0*f + 2*f + (2*f - 3*f - f)*(0 - 5 + 3) + f - 2*f + 0*f - f + 13*f + 10*f. 19*f Expand (-2 + 2 + 1)*(15*g + g**2 - 9*g - 1 + 8*g). g**2 + 14*g - 1 Expand (-o**2 + 3 + 0*o**2 - 11)*(1 + 2*o**2 - 1). -2*o**4 - 16*o**2 Expand 6*k - 15 + 3*k - 3*k + (2*k + 0*k - 3*k)*(2 - 1 - 3) - k - 2*k + 5*k + 0*k + 3*k - 4*k. 9*k - 15 Expand (-2 + 2 + 2*p**5 - 2)*(2 + 18 - 4). 32*p**5 - 32 Expand (6*t - 2*t - 2*t)*(4*t + 2*t + 3*t) + 3*t + t**2 - 3*t - 2*t**2 - 2*t**2 + 5*t**2 + (6*t - t - 3*t)*(2*t + 1 - 1). 24*t**2 Expand (-2 + 1 + 0)*(-2*z**2 + 2*z**4 + 2*z**2 + (3*z**3 - z**3 - z**3)*(-3 + 3 - z) - 2*z**4 + 0*z**2 + 0*z**2 + 85 - 85 - 12*z**4). 13*z**4 Expand (g**5 + g**5 + 0*g**5)*(0 + 0 - 2 + (4 - 2 - 1)*(1 + 1 - 1) - 3 + 6 - 2 - 6 + 1 + 3). -4*g**5 Expand (3 - 4*f**3 - 3)*(-3*f**2 + 3*f**2 + 2*f**2 + (-2*f + 2*f + 2*f)*(-3*f + f - f)) + 3*f**5 - 3*f**5 - 2*f**5. 14*f**5 Expand (-4*c + 4*c - 1 - c**3)*(0*c + 16*c - 32*c). 16*c**4 + 16*c Expand (-3*h - 13 + 13)*(-3 + 4 + h + 0*h). -3*h**2 - 3*h Expand (-p**3 - p**5 + p**3)*(3 + 0 + 0) + (0*p**5 - p**5 + 2*p**5)*(2 + 3 - 4) + p**5 + p**5 + 0*p**5 - 6*p**2 - 32*p**5 + 6*p**2. -32*p**5 Expand (c**4 + 2*c**2 - 2*c**2)*((2*c - 2*c + c)*(5 - 4 + 1) + c - 5*c + 3*c). c**5 Expand 7*i**2 - 3*i**2 - 2*i**2 + (-4*i + 3*i + 0*i)*(11*i + 14*i - 9*i). -14*i**2 Expand (2*p**2 - 2*p**2 - 2*p**3)*(2 - 5 + 1)*(-10*p + 3*p - 5*p). -48*p**4 Expand (-3*s**2 + 7 - 3 - 5 - s)*(2 + 4 - 3). -9*s**2 - 3*s - 3 Expand -6*f**3 + 3*f**3 + f**3 + (-10 + 6 - 6)*(-f**3 + 0 + 0). 8*f**3 Expand -5*h + 4*h + 0*h + (h + 5*h + 3*h)*(-3 + 1 + 3). 8*h Expand (0*g**2 - g**2 - 4*g**2)*(0*g - 3*g + g). 10*g**3 Expand (3 + 7*w - 3)*(0*w + 3*w + 0*w)*(2 - 2 - w). -21*w**3 Expand (-4*p + 6*p + 0*p + (-4 - 1 - 1)*(2*p + 0*p + 0*p) - p + 2*p + p)*(2*p**2 + 0*p**2 + 0*p**2). -16*p**3 Expand (-3*d**3 + 3 - 3)*(3*d - 2*d + 0*d)*(7 - 7 - 3*d)*(1 - 3 + 3). 9*d**5 Expand (-2 + 2*d**2 + 2 + 1 - 1 + d**2 + (-4*d + 5*d + 3*d)*(d - 2*d + 2*d) + 0*d**2 + 2*d**2 - 4*d**2 - 2*d**2 + 2*d**2 + d**2)*(6*d**2 - 2*d**2 - 2*d**2). 12*d**4 Expand (-3 + 2*s**2 + 3 + (2*s + s - 4*s)*(-1 + 1 - s))*(-3*s - 7*s + 3*s). -21*s**3 Expand (0*v + v - 3*v)*(-4*v**3 + 0*v**3 + 3*v**3) + (3*v**2 - 3*v**2 - v**2)*(7*v**2 + v**2 - 2*v**2). -4*v**4 Expand (t + 3 - 3)*(-1 + 0 + 3) + 2*t - 4*t + t + (-1 + 0 + 2)*(0 + 0 - 3*t). -2*t Expand (2*o**2 - o**2 + 0*o**2 + (2 - 2*o - 2)*(-o + 4*o - o))*(22 - 3*o**2 - 26 + 2*o**2). 3*o**4 + 12*o**2 Expand (1 + 0 + 0)*(k**4 - 2*k**4 + 3*k**4) + k**4 + k**4 - 3*k**4 - 2 + 2*k**4 + 2 + (0*k**3 + k**3 + 0*k**3)*(-3*k - 5*k + 2*k) - 13*k**2 - k**4 + 13*k**2. -4*k**4 Expand (2*c - 2*c - 2*c)*((3 - 3 + 2)*(2 - 3 + 3) - 4 - 1 + 6). -10*c Expand -2*t + 2*t + 2*t**2 + (-2 + 0 + 6)*(-4*t**2 + 2*t**2 + 3*t**2) + (t - 3*t + 0*t)*(0 + 2 - 4)*(3*t - 3*t + t). 10*t**2 Expand (-1 + 4 - 1)*(-2*g - 2*g + 2*g) - 164*g - 9*g - 113*g + 40*g. -250*g Expand (q**3 + 2*q**2 - 2*q**2)*(3*q - 2*q**2 - 3*q) + (q**2 + 0 + 0)*(-2*q + 2*q - q**3). -3*q**5 Expand -4*n + 3*n**2 + 1 + 3*n - n**2 + 0 + 0 - 2*n**2 - 2*n + 2*n - n**2 + (4 - 4 + 7*n)*(-3 + 3 - 2*n). -15*n**2 - n + 1 Expand (b + b - 1 + 0)*(0 + 4 - 3). 2*b - 1 Expand (6*v**3 - 7*v**3 - 7*v**3 + (1 - v**2 - 1)*(0*v + v - 3*v))*(-5 + 0 + 2). 18*v**3 Expand (9*h**2 + 4*h**2 - 8*h**2)*(4 - 2 - 1). 5*h**2 Expand 2*p - p - 2*p + (0 + 2 - 1)*(1 - p - 1) - 4*p - 2*p + 5*p. -3*p Expand -c**3 + 2*c**3 - 2*c**3 + (4 - c - 4)*(4*c**2 - 3*c**2 + 0*c**2) - 12*c - 7*c**3 + 12*c + 0 + 0 + c**3. -8*c**3 Expand d**4 - 2 + 2 + (2*d + 2*d**2 - 2*d)*(-2*d**2 + 0*d**2 + 4*d**2) + 4*d**4 - 4*d**4 + d**4 - 15*d**4 + 71*d**3 - 71*d**3. -9*d**4 Expand (22*z - 11*z + z)*(-1 + 2 + 2)*(0*z**3 + z**3 - 2*z**3). -36*z**4 Expand -i - 2*i**3 + i + i**3 - 3*i**3 + 0*i**3 + (3*i + 2*i**2 - 3*i)*(2*i - i - 2*i) - 2*i**3 + 3*i**2 - 3*i**2 + 1 - 1 - 2*i**3. -10*i**3 Expand -4*r + r + 5*r + (2 - 1 - 2)*(3*r - 3*r - 2*r). 4*r Expand (4 - 4 + 3*n + (2 + 0 + 0)*(-5*n + n + 2*n) - 5*n + 0*n + 2*n + 2 - 2 - 2*n + n + 1 - 1 + 3 - 3 - n)*(3*n - n + 0*n)*(-3 + 1 + 0). 24*n**2 Expand (15*b - 3*b + 0*b)*(-b**3 + 0*b**3 + 3*b**3 + b**3 + 2*b**3 - 2*b**3 + (-2*b + b + 3*b)*(-3*b**2 + 2*b**2 + 2*b**2)). 60*b**4 Expand (5*c - 2*c - 4*c + (-4 + 0 + 2)*(c - 2 + 2) - 2 + 2 - c)*(-1 + 3 - 1)*(8*c**3 + 8*c**3 - 5*c**3). -44*c**4 Expand (-4*a + 4*a + 6*a**2)*(-4 + 4 - 2*a) - 3*a**3 + 2*a**3 + 0*a**3. -13*a**3 Expand (i + 2 + 5 - 3)*(3*i**3 - 2 + 2). 3*i**4 + 12*i**3 Expand (-4*q - 2 - 3 + 4)*(2 + 2 - 1). -12*q - 3 Expand 0*h**4 + 0*h**4 + 2*h**4 + 2*h**3 - 2*h**3 + h**4 + (-5 + 2 + 4)*(h + 2*h**4 - h) + (-3*h**3 - 5*h**3 - 8*h**3)*(4*h + h - 2*h). -43*h**4 Expand (6 + s**2 - 5 + 4)*(s**2 + 1 - 1). s**4 + 5*s**2 Expand -3*l + 6*l + l - 2*l + 0*l + l + (l - 6*l + 4*l)*(1 - 3 + 3) + 3*l - 2*l - 2*l - 2*l - l + 0*l. -2*l Expand (0*j + 4*j - 2*j)*(-5 - 2*j**2 + 5) + (-5*j - 12*j**3 + 5*j)*(-5 + 2 + 1). 20*j**3 Expand (49*a - 10*a**2 - 49*a)*(-2*a**2 + 2*a**2 - 3*a**3). 30*a**5 Expand (0*h - 2*h + 0*h)*(0*h + h - 3*h)*(-h**2 + 3*h**2 + 11*h**2). 52*h**4 Expand (k - 3*k + 0*k)*(1 - 3 - 4 + (-1 + 4 - 2)*(-1 - 3 + 2)). 16*k Expand (-j**3 + j**3 - 2*j**4)*(18*j + 101 - 101) + 2*j**5 - 2*j**5 - 2*j**5 + (3*j**3 - 6*j**3 + 4*j**3)*(-j + j**2 + j). -37*j**5 Expand (f**2 - f**2 + 9*f**2)*(-2*f + 2*f - 2*f**2 + (0 - 2*f**2 + 0)*(3 + 0 - 2)). -36*f**4 Expand (2 + 0 - 1)*(-4*n**2 + 4*n**2 + 19*n**4)*(2 + 0 - 6). -76*n**4 Expand (-1 + 1 + 1)*(11 + 0 - 2)*(0*m - 4*m + 2*m)*(2*m - 4*m + m). 18*m**2 Expand (-2 + 2 - 2)*(-7*c**3 + 2*c**3 + 3*c**3)*(-3*c + c + 0*c)*(0 + 2 - 1). -8*c**4 Expand (4*n - 2*n - 4*n)*(5*n - n - 5*n) + (2 + 2 - 3)*(-7*n**2 + 3*n**2 + 3*n**2). n**2 Expand (1 - 1 + 3*z)*(5*z + 11*z - 4*z). 36*z**2 Expand -4*a**2 - a**2 + 3*a**2 + (0*a + 3*a - 5*a)*(a - 2*a - a) + a - a - a**2 - 4*a**2 - 2*a**2 - 4*a**2. -9*a**2 Expand 4*v**4 - 2*v**4 - 3*v**4 + (0*v**2 - v**2 + 0*v**2)*(3*v**2 + 0*v**2 - 2*v**2) + 176*v**2 - 173*v**2 + v**4 + 0*v**4. -v**4 + 3*v**2 Expand (8*b - 13*b + 11*b)*(b - 3*b + b) - 2*b + 2*b + b**2 + (-4 + 4 - b)*(2*b + 0*b - 3*b) + 2*b**2 - 3*b**2 + 2*b**2 + 3*b**2 + b**2 - 3*b**2. -2*b**2 Expand 31*n + 14 - 14 + n - 2*n - n - 3*n + 0*n + 4*n + (5 - 5 - 2)*(-n + 2 - 2) - 4*n + 0*n + 5*n - 3*n + n + n. 32*n Expand (3 - 3 + 4)*(i**2 - 4*i**2 + 2*i**2)*(16*i + 4 - 4)*(2*i + i - 4*i). 64*i**4 Expand ((-n + 0*n + 0*n)*(2 - 2 + 2) + n + n - n + 2*n - n - 2*n - 6*n + n + n)*(8*n - 8*n + n**2). -6*n**3 Expand (-f - 3*f + 2*f)*(6*f**4 + 3*f**4 - f**4) + 3*f**5 - 5*f**5 + f**4 - 3*f**4 - 2*f**2. -18*f**5 - 2*f**4 - 2*f**2 Expand -4*t**5 + 0*t**5 + 2*t**5 + (-6*t - 7*t + 2*t)*(3*t**2 + 3*t**4 - 3*t**2) - 2*t**5 - 4*t**5 + 7*t**5. -34*t**5 Expand (-4*p - 4*p + 2*p)*(-3*p + 5*p + 3*p) - 2 - 2*p**2 + 2. -32*p**2 Expand (9 - 7*t + 17*t - 7)*
{ "pile_set_name": "DM Mathematics" }
6 and 1355624 have the same value? False Is -317 greater than or equal to -3.6? False Is -315365 smaller than -1261463/4? False Which is smaller: 0 or -9/3877? -9/3877 Is -2387 at least -2404? True Is -36/93413 greater than 0? False Which is greater: -31395 or -31389? -31389 Is -1 > -2/43967? False Are 2040968 and -2/5 equal? False Which is smaller: 9826 or 147392/15? 9826 Do -26586 and -26571 have the same value? False Which is greater: -1358 or 81? 81 Is 16 <= -35? False Which is smaller: -7 or -432/5? -432/5 Which is smaller: -2330 or -2326? -2330 Is 43 less than or equal to 2555/58? True Is 432 > 432? False Which is greater: -21 or -686/31? -21 Which is smaller: 0 or 549170? 0 Which is smaller: 0 or 858/2081? 0 Is -578 equal to 273? False Which is smaller: 214 or 8750/41? 8750/41 Which is smaller: 1 or 1/325036? 1/325036 Which is smaller: 2444701 or 2444702? 2444701 Do -3526/179 and -19 have the same value? False Which is smaller: -15826.4 or -2/5? -15826.4 Which is smaller: 482 or 4271? 482 Is -347 at most -1480? False Is -34/99 smaller than 130? True Are 47 and 4042/87 equal? False Which is smaller: 151991 or 151995? 151991 Is -48.1 >= -272? True Which is smaller: 17045 or 17100? 17045 Are 86/8711 and 0 non-equal? True Is -17371 < 2? True Are -115444 and -115431 nonequal? True Is -222485/4 at most -55621? True Is 382375 greater than or equal to 382371? True Which is smaller: -380 or -290? -380 Do -21083 and -21083 have the same value? True Is 1430 at least as big as 11/18? True Is 20628 equal to 144405/7? False Is -23565 greater than -23563? False Which is bigger: -1 or -2/7968335? -2/7968335 Which is smaller: -323969 or -323957? -323969 Which is greater: -19 or -355? -19 Is 2231/5 at most 16? False Is 2894 less than 8686/3? True Which is bigger: -1384.3 or -9? -9 Is -275012 != 0.15? True Which is smaller: -46717 or -46715? -46717 Which is bigger: -162 or -513.1? -162 Is 3/388901 less than or equal to 0? False Which is smaller: -1415 or 34? -1415 Which is smaller: -2/181769 or -1/4? -1/4 Is 14236/11 > 1295? False Is -163317/2 at least -81660? True Is -43488 != -43488? False Is -561625 bigger than -561625? False Which is greater: 2760 or 330? 2760 Which is bigger: -13 or -1319/94? -13 Which is smaller: 33/442 or -0.2? -0.2 Is 15898 bigger than 12? True Which is greater: -61260 or -61254? -61254 Which is bigger: 39141 or 117419/3? 39141 Is -148 < 38.61? True Is -0.03 greater than or equal to -6.401? True Which is greater: -2239414 or -2239413? -2239413 Which is smaller: -1907 or 216? -1907 Which is smaller: -757 or -606? -757 Is -1 greater than or equal to 136/4809? False Is 20139 bigger than 20139? False Which is smaller: -17/42 or -0.907? -0.907 Are 140 and -16025 equal? False Which is smaller: 33434 or -6? -6 Which is greater: -66371 or -530957/8? -530957/8 Is -1 bigger than 1/23942? False Which is smaller: 2006 or -5.1? -5.1 Which is smaller: -2/271185 or -0.4? -0.4 Which is smaller: -3/32285 or -1? -1 Which is greater: 2273/255 or 8? 2273/255 Which is bigger: 2/15 or 4776? 4776 Is -1947/889 < -2? True Which is smaller: 245 or 8/795? 8/795 Is 33809 < 33807? False Which is smaller: 11/6 or 507? 11/6 Which is bigger: 30.3 or -3924? 30.3 Which is bigger: 465 or 499? 499 Which is smaller: 38454 or 38453? 38453 Which is smaller: 1023/25 or 41? 1023/25 Is 1/3 at least as big as -4581? True Is 9287 at most as big as 9288? True Do -1059 and 16/39 have different values? True Which is bigger: -3/17834 or -1? -3/17834 Which is greater: -13996/3 or -4666? -13996/3 Which is greater: 0.1 or -4/70527? 0.1 Is 0.00193 bigger than -5/4? True Which is bigger: 20806 or 37? 20806 Is -155645 <= -155644? True Which is smaller: 0 or 5/2082801? 0 Which is greater: 0 or -208/753? 0 Are -55/4 and -0.6801 non-equal? True Which is smaller: -1514 or -1482? -1514 Is 302.28 smaller than 184? False Which is smaller: -506658 or -4/9? -506658 Which is smaller: 30331 or 515641/17? 30331 Which is smaller: 0 or 31/132? 0 Which is smaller: -10984 or -10996? -10996 Which is smaller: 15062 or 30125/2? 15062 Which is greater: 4514 or 127/4? 4514 Which is smaller: -0.1 or 83832? -0.1 Is -1 less than -2/13889287? True Is 306880 equal to 306885? False Is -226333 at most as big as -226353? False Is -0.2 >= 27884? False Is 9/8 less than or equal to 27.054? True Which is greater: -4/7 or -5691/4? -4/7 Which is smaller: -8106 or -72946/9? -8106 Is 1832 > 1957? False Which is smaller: -690/5227 or -0.2? -0.2 Is 20515 greater than or equal to 20524? False Are 20751 and 103754/5 unequal? True Which is bigger: 7 or 1230/199? 7 Is -129 at least -2174? True Which is greater: -0.1 or 131/445? 131/445 Is -4731 less than or equal to -0.22? True Is 24633 >= 0.03? True Is 1 smaller than 22/327181? False Is -1116/203 equal to -4? False Is 2080/119 <= 16? False Is -2671 smaller than -2675? False Is 19/4233 at least as big as -1? True Are 15 and 1003 unequal? True Which is smaller: 195441 or -2/3? -2/3 Is -114876 at most -114872? True Which is bigger: -1 or -1/1224962? -1/1224962 Which is smaller: -2716/1013 or -3? -3 Which is smaller: -4 or -0.114316? -4 Which is smaller: -28218 or -28210? -28218 Do -2/7 and 8.57413 have different values? True Which is bigger: -120/7 or -153/8? -120/7 Is 7/6479 <= 4? True Is 71/1977 less than or equal to 1? True Which is smaller: 16 or 65? 16 Is -39 greater than -576/433? False Which is bigger: -3938 or -60? -60 Is -101 at most -24? True Which is smaller: 0.2 or 74150? 0.2 Which is smaller: -3/2 or 9067? -3/2 Is -1060175 at most -1060174? True Which is greater: 0.762 or 7.91? 7.91 Is 141/5953 greater than or equal to -0.1? True Which is smaller: 628 or 40/27? 40/27 Which is smaller: -1136/145 or -7? -1136/145 Are -8377 and -8619 non-equal? True Which is smaller: -135538/5 or -27107? -135538/5 Is 424 bigger than 4.5? True Which is bigger: 2/352387 or -3? 2/352387 Which is smaller: -4662 or -4752? -4752 Which is smaller: -104768 or -104771? -104771 Which is smaller: 3239 or 3240? 3239 Which is smaller: 593 or 68298/115? 593 Is -4720 not equal to -4549? True Is -79.84 equal to -1/10? False Is 1830 not equal to 1847? True Which is smaller: -1 or -28.8246? -28.8246 Which is bigger: 0.1 or -8/86699? 0.1 Which is smaller: 18 or 17170? 18 Is 3022349 greater than 0? True Is -331 > -29? False Which is smaller: -2/5 or -4241? -4241 Which is bigger: -6 or -145948? -6 Which is smaller: 0 or 2/560043? 0 Which is bigger: 106 or 4739/45? 106 Do -193/12 and -5.2 have the same value? False Do -30002 and 9 have the same value? False Is -1 at least -156/1337? False Which is smaller: 186/3043 or -1? -1 Which is bigger: 0.1 or 8595? 8595 Which is greater: -12.815 or 0.52? 0.52 Are -1 and -4/1736787 nonequal? True Are 30542 and 213800/7 unequal? True Is 15085/2 at least as big as 7542? True Which is smaller: -1498/683 or 0.1? -1498/683 Is 24168 less than 24167? False Is -6/3715 <= -14? False Is 56/1023 != -1? True Is -141874 less than -141874? False Which is smaller: 89036 or 89037? 89036 Which is smaller: -22 or -1565? -1565 Which is smaller: -161 or 106? -161 Which is greater: 16041 or 16045? 16045 Which is greater: -1 or 5/340457? 5/340457 Is 353831/6 less than 58973? True Which is smaller: -59653 or -1/3? -59653 Are 4714 and 23574/5 non-equal? True Which is smaller: -618970 or -618969? -618970 Which is greater: -2 or 0.093473? 0.093473 Which is bigger: 43410 or 43408? 43410 Is -11/124 != -1? True Is 23748/7 > 3394? False Which is smaller: -800/91 or -10? -10 Which is greater: -11657 or -46629/4? -11657 Which is greater: 1801342 or 1801344? 1801344 Is -4595 at most as big as -4674? False Is 1187230 at least as big as 1187230? True Which is bigger: 1 or 346.931? 346.931 Which is greater: 0 or 4/79161? 4/79161 Is 29396 equal to 29388? False Which is greater: -0.2018 or 0? 0 Is -4539 less than -4513? True Is -31 smaller than -1/622? True Are -110145 and -110146 equal? False Is -1269/172 <= -0.1? True Which is greater: 604 or 510? 604 Is 343114 bigger than 343114? False Are 29/311668 and -1 nonequal? True Which is smaller: -1427 or -27098/19? -1427 Which is smaller: -1011 or 25? -1011 Which is smaller: 4568/51 or 89? 89 Is 0 at most -0.903944? False Which is bigger: 148/9 or -15.8?
{ "pile_set_name": "DM Mathematics" }
inutes are there between 10:50 AM and 2:04 PM? 194 How many minutes are there between 8:55 PM and 5:32 AM? 517 How many minutes are there between 3:36 PM and 8:13 PM? 277 What is 71 minutes before 2:04 PM? 12:53 PM How many minutes are there between 12:29 PM and 4:32 PM? 243 What is 42 minutes after 5:43 AM? 6:25 AM What is 664 minutes before 1:14 PM? 2:10 AM What is 252 minutes after 6:25 PM? 10:37 PM What is 317 minutes before 1:31 PM? 8:14 AM How many minutes are there between 2:39 AM and 7:39 AM? 300 What is 255 minutes before 1:11 PM? 8:56 AM What is 482 minutes after 9:50 AM? 5:52 PM How many minutes are there between 6:36 PM and 10:48 PM? 252 What is 41 minutes before 7:21 AM? 6:40 AM What is 628 minutes before 4:14 AM? 5:46 PM How many minutes are there between 8:02 PM and 5:30 AM? 568 What is 714 minutes before 9:22 AM? 9:28 PM What is 708 minutes after 12:19 PM? 12:07 AM What is 238 minutes before 4:18 AM? 12:20 AM How many minutes are there between 12:50 PM and 5:45 PM? 295 How many minutes are there between 11:56 AM and 4:22 PM? 266 What is 406 minutes before 2:36 PM? 7:50 AM What is 2 minutes before 11:42 PM? 11:40 PM How many minutes are there between 6:09 AM and 7:00 AM? 51 How many minutes are there between 3:23 PM and 6:08 PM? 165 How many minutes are there between 2:16 PM and 7:39 PM? 323 What is 40 minutes after 2:02 AM? 2:42 AM What is 184 minutes after 7:35 PM? 10:39 PM What is 374 minutes before 6:15 PM? 12:01 PM What is 296 minutes before 3:20 PM? 10:24 AM What is 559 minutes after 1:42 AM? 11:01 AM How many minutes are there between 5:23 AM and 10:50 AM? 327 How many minutes are there between 2:03 PM and 1:53 AM? 710 How many minutes are there between 1:48 AM and 4:53 AM? 185 What is 89 minutes before 6:58 AM? 5:29 AM What is 289 minutes before 2:37 AM? 9:48 PM How many minutes are there between 1:15 AM and 3:21 AM? 126 What is 97 minutes before 2:06 AM? 12:29 AM How many minutes are there between 7:18 AM and 12:31 PM? 313 What is 2 minutes before 2:50 AM? 2:48 AM What is 35 minutes after 6:42 AM? 7:17 AM How many minutes are there between 3:27 PM and 2:48 AM? 681 What is 420 minutes after 4:53 PM? 11:53 PM What is 309 minutes after 4:40 PM? 9:49 PM What is 526 minutes before 9:58 AM? 1:12 AM What is 320 minutes before 6:08 PM? 12:48 PM What is 414 minutes after 9:08 AM? 4:02 PM What is 353 minutes before 12:38 AM? 6:45 PM What is 117 minutes after 12:51 AM? 2:48 AM How many minutes are there between 12:20 AM and 6:14 AM? 354 What is 627 minutes after 5:42 PM? 4:09 AM How many minutes are there between 9:56 AM and 8:05 PM? 609 What is 48 minutes before 2:36 AM? 1:48 AM What is 557 minutes after 7:30 AM? 4:47 PM What is 520 minutes before 1:03 PM? 4:23 AM What is 27 minutes before 8:54 AM? 8:27 AM What is 692 minutes after 4:53 PM? 4:25 AM How many minutes are there between 8:49 AM and 12:03 PM? 194 How many minutes are there between 1:32 AM and 9:09 AM? 457 How many minutes are there between 12:44 AM and 2:13 AM? 89 What is 341 minutes after 4:04 PM? 9:45 PM What is 51 minutes before 6:31 PM? 5:40 PM What is 207 minutes after 3:09 PM? 6:36 PM What is 468 minutes after 3:56 PM? 11:44 PM What is 714 minutes before 12:51 PM? 12:57 AM How many minutes are there between 10:15 PM and 9:52 AM? 697 What is 202 minutes after 5:38 PM? 9:00 PM What is 462 minutes after 2:20 PM? 10:02 PM What is 142 minutes after 2:58 AM? 5:20 AM What is 456 minutes after 7:13 PM? 2:49 AM What is 655 minutes before 11:19 PM? 12:24 PM What is 700 minutes after 9:59 PM? 9:39 AM What is 491 minutes after 11:21 AM? 7:32 PM How many minutes are there between 11:41 AM and 5:53 PM? 372 How many minutes are there between 8:03 AM and 8:56 AM? 53 What is 82 minutes before 6:22 PM? 5:00 PM What is 354 minutes after 7:28 PM? 1:22 AM What is 283 minutes before 7:38 PM? 2:55 PM What is 317 minutes after 2:53 PM? 8:10 PM What is 130 minutes before 1:33 AM? 11:23 PM What is 217 minutes after 6:41 AM? 10:18 AM What is 304 minutes after 8:16 PM? 1:20 AM How many minutes are there between 8:08 PM and 2:48 AM? 400 What is 249 minutes after 11:15 PM? 3:24 AM What is 588 minutes after 7:47 PM? 5:35 AM What is 373 minutes after 4:04 PM? 10:17 PM How many minutes are there between 7:26 PM and 8:43 PM? 77 How many minutes are there between 9:36 AM and 2:32 PM? 296 How many minutes are there between 6:31 AM and 5:41 PM? 670 What is 354 minutes before 4:57 PM? 11:03 AM What is 599 minutes before 2:33 AM? 4:34 PM How many minutes are there between 7:03 AM and 4:19 PM? 556 How many minutes are there between 9:09 AM and 3:03 PM? 354 How many minutes are there between 3:39 PM and 12:00 AM? 501 How many minutes are there between 6:40 AM and 6:11 PM? 691 How many minutes are there between 9:23 PM and 11:59 PM? 156 What is 323 minutes before 5:15 AM? 11:52 PM How many minutes are there between 11:53 AM and 7:21 PM? 448 What is 700 minutes before 11:34 AM? 11:54 PM What is 572 minutes before 6:46 PM? 9:14 AM What is 394 minutes after 11:28 PM? 6:02 AM How many minutes are there between 4:33 PM and 4:43 PM? 10 How many minutes are there between 8:53 PM and 11:48 PM? 175 What is 41 minutes after 10:33 PM? 11:14 PM How many minutes are there between 5:08 PM and 9:42 PM? 274 How many minutes are there between 10:43 PM and 11:54 PM? 71 What is 195 minutes before 9:11 AM? 5:56 AM What is 404 minutes before 5:01 PM? 10:17 AM What is 700 minutes before 1:45 PM? 2:05 AM What is 156 minutes after 2:21 PM? 4:57 PM How many minutes are there between 4:44 PM and 1:29 AM? 525 How many minutes are there between 12:29 PM and 2:37 PM? 128 How many minutes are there between 9:38 AM and 10:18 AM? 40 What is 432 minutes before 3:57 AM? 8:45 PM How many minutes are there between 5:37 AM and 2:02 PM? 505 What is 296 minutes after 4:23 PM? 9:19 PM What is 463 minutes before 8:57 PM? 1:14 PM What is 586 minutes after 8:21 PM? 6:07 AM What is 71 minutes after 11:42 PM? 12:53 AM How many minutes are there between 8:25 AM and 6:06 PM? 581 How many minutes are there between 9:13 AM and 7:24 PM? 611 What is 181 minutes before 6:40 PM? 3:39 PM What is 576 minutes before 3:54 AM? 6:18 PM How many minutes are there between 11:21 PM and 6:59 AM? 458 What is 360 minutes before 7:42 AM? 1:42 AM What is 398 minutes after 7:50 AM? 2:28 PM What is 667 minutes after 10:27 AM? 9:34 PM What is 185 minutes before 8:59 PM? 5:54 PM What is 439 minutes before 9:47 PM? 2:28 PM What is 439 minutes before 2:08 PM? 6:49 AM How many minutes are there between 8:49 AM and 10:20 AM? 91 What is 184 minutes after 7:41 AM? 10:45 AM How many minutes are there between 6:14 AM and 7:21 AM? 67 What is 302 minutes after 4:30 AM? 9:32 AM What is 470 minutes after 11:06 AM? 6:56 PM What is 320 minutes before 11:29 PM? 6:09 PM How many minutes are there between 2:12 PM and 7:54 PM? 342 What is 421 minutes before 11:22 PM? 4:21 PM What is 305 minutes after 6:32 AM? 11:37 AM What is 416 minutes after 12:42 PM? 7:38 PM How many minutes are there between 6:56 PM and 7:59 PM? 63 How many minutes are there between 2:05 AM and 4:33 AM? 148 What is 617 minutes after 9:42 PM? 7:59 AM What is 238 minutes before 2:00 AM? 10:02 PM What is 185 minutes after 4:19 AM? 7:24 AM How many minutes are there between 8:52 AM and 12:06 PM? 194 What is 322 minutes before 11:06 PM? 5:44 PM How many minutes are there between 5:32 AM and 12:12 PM? 400 How many minutes are there between 2:49 AM and 10:42 AM? 473 What is 238 minutes before 3:56 PM? 11:58 AM How many minutes are there between 2:57 PM and 2:12 AM? 675 How many minutes are there between 4:25 AM and 8:59 AM? 274 How many minutes are there between 4:39 PM and 12:04 AM? 445 What is 25 minutes after 11:06 PM? 11:31 PM What is 630 minutes before 11:01 AM? 12:31 AM How many minutes are there between 1:19 PM and 10:51 PM? 572 How many minutes are there between 8:38 PM and 12:00 AM? 202 How many minutes are there between 8:18 PM and 11:09 PM? 171 What is 552 minutes before 12:53 AM? 3:41 PM How many minutes are there between 5:12 AM and 2:32 PM? 560 How many minutes are there between 10:32 AM and 2:28 PM? 236 What is 582 minutes before 1:30 PM? 3:48 AM How many minutes are there between 5:54 AM and 7:22 AM? 88 Wh
{ "pile_set_name": "DM Mathematics" }
97535 = 3*u. Is u a prime number? False Let c(k) = -236*k**3 - 3*k**2 - 2*k. Suppose -13*v + 2 - 15 = 0. Let b be c(v). Let s = b - -750. Is s composite? True Let q = -165 - -650. Suppose 5*o + 865 = a + a, 3*a - 15 = 0. Let r = q + o. Is r a composite number? True Suppose -s - 3*d = -29, 4*s = 7*s - d - 37. Let z(x) = -13 + 20 - s*x + 10*x. Is z(-10) a prime number? True Suppose 11*z - 219307 = 4507 + 283649. Is z prime? True Let a = -3117 - -9966. Suppose 4*r - 3*r - a = -5*f, 3*r = f - 1357. Is f composite? True Suppose 0 = 5*x - c - 17700, 4*x - 7861 = -5*c + 6328. Is x composite? False Suppose -459*z + 456*z - 4*h = -1131365, 0 = 4*h - 8. Is z prime? False Suppose -5*m = -4*s - 910, -5*s + 659 = 4*m - 28. Suppose -2*w - 534 = -3*l + w, l + 4*w - m = 0. Suppose 365 = 3*t - l. Is t a composite number? False Suppose -r = -9336 + 1325. Suppose -4*i + 3837 = -r. Suppose -4*u + 2*u + i = 0. Is u prime? True Let c = 1225272 - -143807. Is c prime? False Suppose 142*q = 5751248 + 9548907 + 30358667. Is q prime? False Suppose 4*l - 1205997 = -7*c, l = 10*c - 6*c + 301459. Is l composite? False Is 12 - (-131531 - (-6 - -8)) composite? True Let i = -87 + 78. Let p = i + 11. Suppose 647 = j - 4*z, 5*j + p*z - 3151 = z. Is j a composite number? False Let f be ((-4)/3)/((-1)/(-3)) + 74. Suppose -4*g - f = -14*g. Suppose 0 = 9*s - g*s - 4604. Is s a prime number? False Suppose p = 5*y - 217508 + 1012129, 4*p + 5*y = 3178584. Is p a composite number? False Let x = -344745 + 2140862. Is x a composite number? True Let r(n) = 13 + 92*n + 16*n**2 - 81*n - 45. Let o be r(18). Suppose 4*p = y + y - o, 2699 = y + 4*p. Is y a prime number? True Let m = 141 - 12. Let h = -124 + m. Suppose 0 = -0*q - q + 5*i + 3783, -h*q + 18973 = 4*i. Is q prime? True Let n = -48 + 62. Let s(u) = -u**3 + 13*u**2 + 16*u - 21. Let b be s(n). Suppose b*h - 2*h = -m + 2169, -3*m + 2*h = -6473. Is m a composite number? True Suppose -i + 0*i + 26 = -2*k, -k + 4*i - 27 = 0. Let j be (10/50 - k/(-5))/(-2). Let a(s) = 381*s**3 - 2*s**2 + s + 1. Is a(j) composite? True Suppose -47*q = q - 3854832. Is q a prime number? True Let b(s) = 5*s**2 - 14*s + 12*s + 11*s + 10 - 3*s**3. Let n be b(-3). Suppose 3*k - 868 = -n. Is k prime? False Let f be 2/6 + 23/(-69). Suppose -2*r + 2 = 2*i, -4*i + r + f = 11. Is ((-2213)/i)/((-1)/(-2)) composite? False Let h be (1/(4/24*-2))/(-1). Suppose 1273 = h*r - 4337. Let b = r + -903. Is b a composite number? False Let o(s) = 84*s + 17. Let y = -31 + 98. Let w = 73 - y. Is o(w) composite? False Suppose 3*s - 471*v - 88245 = -474*v, -2*v = -8. Is s prime? True Let a be (1221/(-2))/((-5)/(-8) - 1). Suppose -a = d - 5*d. Is d a composite number? True Let y = 38029 + -630. Is y prime? False Suppose 5*j = -5*h + 1762975, -2170321 = -5*h - 3*j - 407334. Is h a prime number? True Suppose -10 = -2*r, 5*r = t + 2 + 18. Suppose -3*o - t*q + 8743 = 0, 12*q = 5*o + 8*q - 14510. Is o a prime number? False Let j(k) = -k**3 + 4*k**2 + k - 1. Let n be j(4). Suppose -10893 = -5*d + 4*s, n*d - s = 2*d + 2178. Is d a composite number? True Let z(t) = -4*t**3 + 2 + t**2 + 30*t**3 + 4*t - 5*t**2 + 0. Let i be z(5). Let f = -2193 + i. Is f a prime number? False Let g be 1*(-15)/(-1) + -5. Suppose 302 = g*v + 52. Suppose 2495 = v*c - 20*c. Is c a prime number? True Let d(k) = 0*k**2 + k**2 + 3*k + 4 - 5 + 4*k**2. Let r = -91 + 92. Is d(r) a prime number? True Let u = 133996 + 672409. Is u prime? False Suppose 32*v = 28*v + 204. Suppose -50*p = -v*p - 5. Is (-37)/p + (-4)/10 a prime number? True Let l be (-7 + -9)/((-2)/52). Suppose -2*n = -u + 1191, 5*u = 4*n + 5569 + l. Suppose 6*c + 91 - u = 0. Is c composite? True Let i(c) = -4*c - 78. Let y be i(-20). Suppose -y*g + 13817 = -3*n, 0 = 3*n - 12 + 3. Is g a composite number? True Suppose 2*r = -5*d + 58, 2*r + 2*r + 4*d - 104 = 0. Is (-2380)/(-6) + 8/r composite? False Let i(z) = -12119*z**3 + 18*z**2 + 36*z - 3. Is i(-2) prime? False Let s be (-2 + -2 + -1)*27/(-15). Is 4165/s - ((-20)/9 - -2) composite? False Suppose -6*q + 9*q - 24 = -3*h, -26 = -3*q - 4*h. Let c(f) = 128*f - 60. Let l be c(q). Suppose l + 34 = 2*w. Is w composite? True Let t be (-20)/(-4) - (4 + -3). Suppose 2*g = g + 3. Suppose -g*p = 5*u - 3*u - 5665, 0 = u + t*p - 2835. Is u a composite number? True Suppose -4*g = -0*n + 4*n + 55920, -41920 = 3*n - g. Let q = n - -20496. Is q a composite number? False Is (-8 - -9)/(11/2484427) composite? True Suppose -20*x + 4 = -18*x. Is x*((-7990)/(-4) + -3) a composite number? False Is 18/6 + 13928 - (6 + -4) a prime number? False Let j be (4/(-3))/((-14)/84). Is (7 - -23 - j)*223/2 a prime number? False Let v = 898 + -503. Suppose 0 = -4*z + 20, -x + 5*z = 6*z + v. Let d = x - -782. Is d a composite number? True Suppose -47 = -4*o - 143. Is 4*(-57306)/o - 0 a prime number? True Suppose -12 - 45 = -19*o. Suppose -o*g + 2522 = -9109. Is g prime? True Let l(w) = 615*w - 8. Suppose -16*k + 13*k = -45. Is l(k) a composite number? True Let j = 22534 + 6589. Is j a prime number? True Let u(o) be the second derivative of o**4/12 + o**3 - 11*o**2 - o + 287. Let s(p) = p**3 + 4*p**2 + 5*p - 1. Let w be s(-4). Is u(w) a prime number? True Suppose -16*l = -12*l - 24. Is -2922*((-44)/(-8) - l) prime? False Suppose 1681 + 6124 = 7*k. Suppose k = -4*l + 3279. Is l a prime number? True Let h be 2/9 + 129/27. Let f be 3/(-1) - -6 - -460. Suppose k - f = -3*y - 81, 2*k - 637 = -h*y. Is y composite? False Let h be -5*(-12)/80*-4. Let q be (-635)/(-3 + 4)*h/3. Suppose 3*d - 2818 - q = 0. Is d a prime number? True Suppose 2*n - 15 = -3*x, 3*n - 2*n = 0. Let d be 9/x*380/57. Suppose d*t - 220 = 8*t. Is t prime? False Suppose -117*z = -112*z. Let d be z - (1 - 3) - -3. Suppose 4*v - r - 4621 = 0, -3*v + r = d*r - 3442. Is v composite? True Let r(p) = 284469*p**2 + 299*p + 591. Is r(-2) a prime number? True Suppose n - 9 - 10 = 0. Let g = -15 + n. Is g/24*2*4683 prime? False Let y be (-7 + -7)*(-180)/14. Let p be (-24)/y + 2/15. Suppose 5*x = -4*g + 7203, -2*x + g = -p - 2876. Is x a prime number? True Let o be 5/2*(11/(-5) - -3). Let w(t) = 809*t**3 + 10*t**2 - 22*t - 1. Is w(o) a composite number? True Let y be (1 + -21)*42*(-8)/16. Suppose 297 + y = q. Is q prime? False Suppose 4*n = -4*t + 32, -5*t + 2*n = n - 10. Let j be 2*t*(-17)/(-6). Suppose -j*p + 13*p + 820 = 0. Is p prime? False Let v(z) = -z + 19. Let d be v(9). Suppose -3*o = 10 - d. Suppose 2*l - b = -l + 2659, o = 5*l + 5*b - 4445. Is l a prime number? True Is 21/9*(-29683296)/(-672) a composite number? False Let r = -688404 + 1258211. Is r prime? False Let w(m) = -3*m**3 + 20*m**2 + 10*m + 9. Let n(g) = -g**3 + 10*g**2 + 5*g + 5. Let z(d) = 5*n(d) - 2*w(d). Is z(6) composite? False Suppose 2*c - x - 383 = 0, 0 = x - 3*x + 6. Let f = 404 - c. Is f prime? True Let w(t) = 13*t**2 + t - 19. Let y(d) = -d**2 - 6. Let u(f) = -3*f**2 - 17. Let a(z) = -6*u(z) + 17*y(z). Let p(n) = -6*a(n) + w(n). Is p(8) a prime number? False Suppose 4*l + 2847 - 292 = 117599. Is l prime? False Suppose -1719 = -a - 5*i, 25*a - i + 1739 = 26*a. Let l = a + -1010. Is l a prime number? False Let w be 2 - 1*6 - (-24 + 4). Suppose 3*q + 5*l = 3527, 4*l + 0*l = w. Is q a composite number? True Is ((-14)/4)/((-4914)/900965052) composite? False Let l(a) = -13086*a + 1927. Is l(-9) a composite number? False Let w(y) = 1 - 1 + 3 + 53*y**2 - 8*y. Let m be w(6). Suppose m = 4*v + 2*c - 4371, 20 = -4*c. Is v composite? True Let j = -35561 - -652908. Is j a prime number? False Suppose 2*q + 3*t - 521405 = 0, -1160641 = -6*q + 4*t + 403665. Is q a prime number? True Let x be 49995/(-6) + -1 + (-3)/6. Let s = x + 14767. Is s composite? True Is ((-105)/(-280))/(7/20552) prime? False Let y be 273/52 - 10/8. Suppose 6*l - 3*u = 2*l + 61816, -y*u = -5*l + 77271. Is l a prime number? True Let j = 57 - 28. Is j/116 - 158*45/(-8) composite? True Let y be (-1*17)/(-10 - (-120351)/12034). Let h = y - -35087. Is h a composite number? True Let h be (-11144)/(-3) + (-1)/(-3). Suppose -w + 9 - 4 = 5*q, -q - 4*w = 18. Suppose -3*m + h = q*m. Is m prime? True Let g(z) = 73*z**2 - 8*z + 14. Let s = -206 - -199. Is g(s) prime? False Suppose 66966 = -n + 293839. Is n a prime number? False Suppose 4*r + 6 = 7*r. Suppose -4*t + f =
{ "pile_set_name": "DM Mathematics" }
*2 Expand 0*g + 3*g - 4*g + (1 - 1 + 6)*(-2*g + g - 2*g) + 3*g + 0*g + 3*g. -13*g Expand (-f + f + 2*f)*(2*f**2 + 0*f**2 - 4*f**2) - f**3 + f**3 - 2*f**3 + (9*f**3 + 7*f**3 - 5*f**3)*(-1 + 1 + 1). 5*f**3 Expand -3*t**2 + 3*t**2 - 2*t**4 + t**4 + 0*t**4 + 5*t**4 + (-4*t**3 + 3*t**3 + 2*t**3)*(-2 + t + 2). 5*t**4 Expand (1 - 3 + 1)*(-96 - 10*p + 96)*(-1 + 1 + 1). 10*p Expand (-i**2 - 2*i**2 - i**2)*(27 - 27 + 3*i)*(1 - 3*i - 1). 36*i**4 Expand (-2*i + 11 + i - 9)*(-1 - i**4 + 3 + 0*i**4). i**5 - 2*i**4 - 2*i + 4 Expand (-4 + 2 + 0)*(0*q + 5*q - 3*q)*((-3*q + 0*q - q)*(-4*q + 2*q + q) - q**2 + 5*q**2 - q**2). -28*q**3 Expand (6*y**2 - 8 + 8 + y)*(2 - 3 - 2). -18*y**2 - 3*y Expand (-3*i**2 + 4*i**2 - 2*i**2)*(3*i + 0*i - 5*i) + (4*i - i - 4*i)*(-5*i + 5*i - 2*i**2). 4*i**3 Expand (r + 3 - 3)*(-1 - 4 + 12 + 4 + 0 - 2 + (0 - 1 - 1)*(2 - 5 + 2)). 11*r Expand 4*r**4 + 14*r - 14*r + (-3 + 1 + 1)*(0 + r**4 + 0) + 0*r**4 + 0*r**4 - r**4. 2*r**4 Expand (-4*a + 24 + 3*a + 0*a)*(-2*a + 1 - 1). 2*a**2 - 48*a Expand (-1 + 1 - h)*(-3 + 2 + 3)*(3*h**4 - h**4 - 4*h**4). 4*h**5 Expand (7 - 2 + 1)*(-2 - 5*d + 0 + 3*d). -12*d - 12 Expand (-9 + 9 + x)*(-2 + 2 + 1) + x + 2*x - 2*x - x + 4 - 4 + 3*x - 5*x + 3*x + (-5 + 3 + 3)*(0*x - 3*x + 5*x) - x + 0*x + 0*x - 4*x + x + 4*x. 4*x Expand (1 - 5 + 2)*(-2*y**4 - 4*y**4 + 2*y**4) + 3*y - 2*y**4 + 0*y**4 - 4*y. 6*y**4 - y Expand (26 + 2 - 15)*(4*h**5 - 3*h**4 + 3*h**4). 52*h**5 Expand (-3 + 2 + 23)*(0 - p + 0)*(-2 + 4 + 0)*(0*p + 3*p - 4*p). 44*p**2 Expand (-3 + 5 + 0 + 2*l**2)*(-1 - 79 + 3). -154*l**2 - 154 Expand (0*m - 3*m + m)*(-2 + 3 + 0) - 7*m - m + 6*m. -4*m Expand 2*i - 2*i - 11*i - 2*i + 0 + 0 + (-3 - 3 + 4)*(i + 2*i - 2*i) + 1 - 1 - i + (-i + 3*i - i)*(-6 + 4 + 0). -18*i Expand (6*f - 6*f + 3*f**3)*(1 - 1 + 2 + 3 + 1 + 2 + (-4 + 3 + 2)*(-6 + 3 + 2)). 21*f**3 Expand (0*z**2 + z - 2*z**2 + 0*z)*(10 + 6 + 4). -40*z**2 + 20*z Expand (3 - 3 - m**2)*(-3*m + 3*m - 2*m) + 1 - 1 + 2*m**3 - m + m**3 + m + 5*m**3 - m**3 - m**3 + 2*m**3 - 2 + 2. 10*m**3 Expand (5 + 0 - 6)*(2*y**2 - 4*y**2 + 4*y**2) + 0*y - 2*y**2 + 0*y. -4*y**2 Expand (-4 + 3*j + 4)*(j - 2*j + 2*j) + (-4 + 4 - j)*(2*j - 5*j + j). 5*j**2 Expand -5*h - 2*h + 0*h + (0 + 0 + 2*h)*(-1 + 0 + 0) + 3*h - h - 4*h + 2*h + 3 - 3. -9*h Expand (-2*r**2 - 4*r + 4*r)*(-2*r + 2*r - r**2 + (1 - 3 + 0)*(0*r**2 + 3*r**2 - 2*r**2) - r + r + 2*r**2). 2*r**4 Expand (1 + 6 - 2)*(-2*m - m + 0*m)*(5*m**2 - m**2 - m**2). -45*m**3 Expand (-5*y**3 + 4*y**3 + 0*y**3)*(12 - 7*y**2 - 3 + 5*y**2). 2*y**5 - 9*y**3 Expand -5*h**4 + 0*h**4 + 4*h**4 + (4 - 4 + h)*(-3*h**3 + 5*h**3 - 3*h**3) + (-h + 4 + 9 + 5)*(4*h**3 + 5*h**3 - 5*h**3). -6*h**4 + 72*h**3 Expand 4 + w - 4 + w - 5*w + 2*w + (w + 0*w + w)*(-2 - 1 + 1) - 1 + 1 - w + 24 + w - 24 - 2*w + 3*w + 2 - 3*w. -7*w + 2 Expand -2 + 2 + 5*k**2 + (4*k - 4*k + k**2)*(0 + 6 - 3). 8*k**2 Expand ((1 - 4 + 1)*(4 + 0 - 5) + 3 + 0 - 5 + (-4 + 1 + 2)*(4 - 3 - 3))*(3*z - 5*z + 3*z). 2*z Expand -9*p**4 - 7 + 7 + 3*p**4 + 4*p - 4*p + (1 + 3 - 5)*(3*p**4 - 2*p**4 - 2*p**4). -5*p**4 Expand 3*o**3 + 2*o**3 - 2*o**3 + (2 - 1 + 1)*(4*o**3 - 5*o**3 - o**3) + (-1 + 1 + 2*o**2)*(o - 1 + 1) + 1 + o**3 - 1. 2*o**3 Expand (2*c + 2*c - 3*c)*(-1 + 0 + 2) + (-2 + 1 - 1)*(c - 3*c + c) - 3*c + 2*c + 2*c + c - c + 2*c. 6*c Expand 0*i**3 - 2*i**3 + i**3 + (i**2 + 0*i**2 + i**2)*(-2 + 2 - i) - 2*i**2 - 18*i**3 - 13*i**3 + i + 35*i**3. i**3 - 2*i**2 + i Expand (3*x**2 - 3*x**2 - x**3)*(2*x + 0*x + 0*x - 2 - 2*x + 2 + (-1 + 1 + 2*x)*(-1 - 1 + 1)). 2*x**4 Expand (u + 0 + 0)*(-u + 3*u - 3*u)*(1 - 2 + 2). -u**2 Expand 2*x**2 - x**2 - 2*x**2 + 3*x**2 - 3*x**2 - x**2 + (-3*x**2 + 0*x**2 + 4*x**2)*(-2 + 0 + 0) + (-5*x - 15 + 15)*(-4*x + 0*x + 5*x). -9*x**2 Expand (-x + 4*x + 2*x)*(-x**2 - 2*x + 2*x**2 - 5*x**3 - 7*x**3). -60*x**4 + 5*x**3 - 10*x**2 Expand (0*l**3 + 2*l**3 - 4*l**3)*(-8*l + 8*l - 3*l**2) + 3*l**3 + 5*l**5 - 3*l**3. 11*l**5 Expand (c - 3*c + 3*c)*(3*c + 2*c - 3*c) + (-c - 2*c + 4*c)*(-c - 1 + 1). c**2 Expand -4*m**3 - 2*m - 13*m**3 + 15*m**3 + 3*m**4 + (0*m**3 + m**3 + 2*m**3)*(3*m + 0*m - m). 9*m**4 - 2*m**3 - 2*m Expand (-4*a + 3*a + 2*a)*((-2 + 6 - 2)*(-3 + 1 + 3) + 1 + 0 + 0 - 3 + 0 - 2). -2*a Expand 3*k**2 - k**3 - 3*k**2 - 2*k + 2*k**3 + 2*k + (-6*k + 6*k - 15*k)*(2*k**2 - 2*k**2 + k**2). -14*k**3 Expand (-4*u + 3*u - 2*u + (-4*u + 0*u + 2*u)*(0 - 1 + 4))*(0*u - 4*u + u). 27*u**2 Expand (-3 + 3 + 1)*(-9*t + 21*t - 7*t + 1). 5*t + 1 Expand (j + 1 + 3*j - 5*j)*(5*j + 7*j - 3*j). -9*j**2 + 9*j Expand 1 + k - 1 + (3 - 5 - 4)*(-4*k + 4*k + 3*k). -17*k Expand (13 + 12 - 41 - 3*d)*(2*d**2 + 3*d**2 - 4*d**2)*(2*d**2 - 1 + 1). -6*d**5 - 32*d**4 Expand (1 - 1 - 4)*(-4 + 5 + 0 - 4*n**3). 16*n**3 - 4 Expand (-2*w + 4*w - 4*w)*(-3 + 2 - 1) + w - 2*w + 0*w - 132*w - 103*w + 189*w + (w + 2*w - w)*(-3 + 6 - 2). -41*w Expand (8*j + 7*j - 7*j - 1 + (1 - 3 + 4)*(2*j - 3*j + 2*j))*(13 - 13 + 5*j). 50*j**2 - 5*j Expand (0*v + 2*v + 0*v)*(3*v**2 - 5*v**2 + 4*v**2) + v**3 + 4*v**3 - 3*v**3. 6*v**3 Expand ((d**2 - 2*d**2 + 3*d**2)*(-1 + 1 - 2*d) - 11*d**2 - 9*d**3 + 11*d**2)*(-5 + 2*d + 5). -26*d**4 Expand (3 - 3 + 2*u**2)*((3 - 3 - 3)*(-u + 3 - 3) - 3 + 3 + u) + 4*u**3 + u**3 + 0*u**3 + (-u**2 + u**2 + u**2)*(0*u + u + u). 15*u**3 Expand (b**3 - b**3 - 2*b**5)*(-1 + 2 - 2)*(-1 - 1 - 4). -12*b**5 Expand (2 + 4 - 4)*((3*v - v - 4*v)*(4 - 2 + 0) + 0 + 0 - 2*v - 5 + 5 - v). -14*v Expand -m**5 - 2*m**2 + 2*m - m + m**2 + (2*m - 2*m + 2*m)*(-6*m**4 - 14*m + 14*m). -13*m**5 - m**2 + m Expand (5*i - 5*i + 3*i**2)*(-3*i + 6*i - 2*i)*(4*i + 0*i - 2*i)*(2 - 3 + 6). 30*i**4 Expand -2*u + 0*u + 3*u - 11 + 11 - 9*u + (5 - 5 + 1)*(-2*u + u + 3*u). -6*u Expand (-3*m**2 + 3*m**2 + m**2)*(3*m - 3*m - m**3) + 2*m**2 - 13*m**2 - 9*m**5 + 9*m**2. -10*m**5 - 2*m**2 Expand 1 + 2*p - 1 + (p - p - 2*p)*(2 + 0 - 1) + 0 - p + 0 + (0*p + 0*p - 2*p)*(6 - 1 + 3). -17*p Expand (-7*i + 7*i + 4*i**2)*(-3 - 1 + 5)*(-3 + 3 - 4). -16*i**2 Expand -3 + 3 - k**4 + (-2*k + k - k)*(-5*k**3 + 8*k**3 - 2*k**3). -3*k**4 Expand -j**3 - j**5 + j**3 + j**5 + 4 - 4 + (j**4 - 5*j**4 + 5*j**4)*(2 - 2 + 2*j) + 0*j**5 - j**5 + 0*j**5 - 43*j**3 + 43*j**3 + 2*j**5. 3*j**5 Expand -d + 0*d + 0*d + d + 2*d + 3*d + (-6 + 0 + 4)*(d + 3 - 3). 3*d Expand (2*n**2 - 4*n**2 + 3*n**2)*(-1 + 0 - 3). -4*n**2 Expand (-2 + 25 + 5)*(2*t**3 - t**3 + 4*t - 3*t). 28*t**3 + 28*t Expand (j**2 + 3 - 3)*(-2*j - j + 2*j) + 2*j**3 - 4 + 4 + (0*j**2 - j**2 - 2*j**2)*(j + j + j). -8*j**3 Expand -1 + 1 + j + (-3 - 3 + 5 + (6 - 5 + 0)*(1 - 2 + 0))*(1 + 3*j - 1) + 2*j - 3*j - 2*j. -8*j Expand (-2*v**2 + 0 + 0 + (4*v - v - v)*(0*v + 2*v - 9*v))*(4*v - 4*v - v**3). 16*v**5 Expand 8 - 6*d - 8 + (-5 + 1 + 5)*(3*d - 3*d + 2*d) + (5*d - d - 2*d)*(1 - 3 + 0). -8*d Expand -2*c - c**3 + 2*c**3 + 2*c**3 + 2*c**3 + 4*c**3 - 4*c**3 + (2*c - 2*c + 3*c**2)*(c + 0*c + 0*c). 8*c**3 - 2*c Expand (2 - 2*c - 2)*(14*c**3 - 19*c**3 - 11*c**3)*(3*c + c - 5*c). -32*c**5 Expand -4*g**3 + 0 + 0 + g - 2 + 2 - g**3 + (-2 + 1 - 1)*(g**3 + 0*g**3 + 0*g**3). -7*g**3 + g Expand -5*q**5 - 6*q**5 + 4*q**5 + (-3 + 3 - 2*q**4)*(-q + q + q) + 4*q**5 - 2*q**5 - 4*q**5 + 0*q**5 + 4*q**5 - 2*q**5 + 3*q**5 - 3*q**5 - 2*q**5. -11*q**5 Expand 2 - 6 - 1 + w + (-5*w + 3*w - w)*(-4 - 1 + 3). 7*w - 5 Expand (0*s**4 - 4*s**4 + 0*s**4)*(1 - 5 + 3)*(1 + 5 - 10). -16*s**4 Expand (o + 3*o - 3*o)*((-1 + 1 - 2)*(-2 + 3 + 1) - 2 - 4 + 5). -5*o Expand -6*q**5 + 2*q**3 - 2*q**3 + (-q**4 - 1 + 1)*(-3*q - 2*q + 3*q + (q + 0*q + 0*q)*(-2 + 4 - 1)). -5*q**5 Expand (96 - 1 + 65 - 37)*(s - 2*s + 2*s). 123*s Expand (-2*i - 20 + 7 + 12)*(0 - 2*i**3 + 0). 4*i**4 + 2*i**3 Expand (0 + 0 - 2*z + z + 2*z - 5*z + (-1 + 1 - 1)*(-7*z + 2*z - 4*z) - 2*z + z - z)*(-z**3 + z - z). -3*z**4 Expand (2*x**2 - 2*x**2 - x**2)*(0 - 1 - 1) - x**2 + 0*x**2 - 3*x**2. -2*x**2 Expand (3*n - 3*n + n)*(2 + 18 - 9). 11*n Expand (-1 + 0 - 1)*(-2*d**3 + 0*d**3 + 0*d**3). 4*d**3 Expand (-1 - 3 + 2)*(-2*a - 3 + 3) + 2*a + 0*a - 3*a - 3*a + 4*a + a + 950 - 950 - 65*a. -60*a Expand (-2*p**2 - 5*p**2 + 5*p**2)*(-2 + 2 - 2) - p**2 - 2*p**2 + 4*p**2 + 0*p + 0*p - 2*p**2 - 2*p + 5*p**2 + 2*p + (0 - 2 + 4)*(-p**2 - p**2 + 4*p**2). 12*p**2 Expand -2*m - 5 + 3 + 0*m + 3*m + 2*m - 7*m + (-4 + 1 + 2)*(-3*m + m + 3*m). -5*m - 2 Expand (6*r**3 - 3*r**3 - 2*r**3)*(3
{ "pile_set_name": "DM Mathematics" }
nd derivative of 2514287*q**2 + 12208300*q? 5028574 What is the third derivative of -4334*c**4 + 96*c**3 + 14*c**2 - 439644? -104016*c + 576 Find the second derivative of -1224*m**2*y**3 - 36808*m**2*y - 3*m**2 + 5*m*y**3 + 9131*m*y + 107*y**3 wrt m. -2448*y**3 - 73616*y - 6 Find the third derivative of -142869582*p**3*y**2 + 2*p**2*y**2 - 256305775*p**2*y wrt p. -857217492*y**2 What is the second derivative of -9454506*s**2 - 32418269*s wrt s? -18909012 Find the third derivative of -57*p**2*q**5 + 325002*p**2*q**3 + p**2*q**2 - 3*q**2 - 1827788*q wrt q. -3420*p**2*q**2 + 1950012*p**2 Find the second derivative of 2*j**3 - 1049451*j**2 + 29*j + 511180 wrt j. 12*j - 2098902 Find the third derivative of -13029118*f**5 + 8018979*f**2. -781747080*f**2 What is the second derivative of 1139788*b**2*v**3*z - 230*b**2*v*z - 2*b**2*v - b**2*z + 6*b*v**3*z + 3*v + 1688*z wrt v? 6838728*b**2*v*z + 36*b*v*z Find the third derivative of -19934456*m**3 - 2*m**2 + 3980*m + 81 wrt m. -119606736 Differentiate 395527731*n**2 - 131604414 wrt n. 791055462*n Find the third derivative of 12305884*x**3 - 62*x**2 + 8423*x - 2 wrt x. 73835304 What is the third derivative of 6361161*z**6 + 3*z**2 + 10784*z - 650? 763339320*z**3 Find the second derivative of k**2*y + 156903914*k**2 - 755639*k*y + 66*k wrt k. 2*y + 313807828 What is the second derivative of 81048*r**3 + 75*r**2 - 2*r + 121860342 wrt r? 486288*r + 150 What is the second derivative of -929054*o**2*t**3 - o*t**3 - 54*o*t**2 + 2*o*t + o - 71*t**2 - 1 wrt o? -1858108*t**3 What is the third derivative of -459*m**6 - 664*m**4 + 4*m**3 + 5*m**2 + 1208890*m? -55080*m**3 - 15936*m + 24 Find the third derivative of 8375316*l**3*o**3 + 1609*l**2 - o**3 + 90 wrt l. 50251896*o**3 What is the first derivative of -5032*u**3 - 100*u**2 + 10653884? -15096*u**2 - 200*u Differentiate 2*s**3 + 6*s**2 + 471290*s - 115586413 wrt s. 6*s**2 + 12*s + 471290 Differentiate 20*d**4 - 3772*d**2 - 13*d - 35573499 wrt d. 80*d**3 - 7544*d - 13 What is the second derivative of 8618*g**4 + 3*g**2*n**3 + 1446*g**2 - 14*g*n**2 + 24*g + 9377*n**3 wrt g? 103416*g**2 + 6*n**3 + 2892 Find the third derivative of 115773861*s**5 + 345426045*s**2 wrt s. 6946431660*s**2 Find the third derivative of 325507172*v**4 + 199973*v**2 + 150*v - 4. 7812172128*v What is the third derivative of -859*j**3*z + 3770*j**3 + 9*j**2*z + 2*j**2 + 4731*j*z - 5*z + 2 wrt j? -5154*z + 22620 Find the third derivative of -1671748*q**3 + 5000*q**2 + 5*q - 27 wrt q. -10030488 Find the second derivative of 69*s**5 - 2*s**4 + 18725*s**3 + 20569261*s. 1380*s**3 - 24*s**2 + 112350*s Find the first derivative of -11*j**2*k + j**2 + 54214*j*k + 4328956*k wrt j. -22*j*k + 2*j + 54214*k What is the third derivative of -13*r**3*t**3 - 400355*r**3*t**2 - 15*r**2*t**2 - 5*r**2 - t**3 + t**2 wrt r? -78*t**3 - 2402130*t**2 Differentiate -451399059*z**3 + 541896323 with respect to z. -1354197177*z**2 Differentiate 4*l**3*t**2 + 3*l**3 + 4*l**2 + l + 1263559*t**2 + 711 with respect to t. 8*l**3*t + 2527118*t Find the second derivative of -70431*u**5 + 85*u**2 + 8665401*u. -1408620*u**3 + 170 Find the third derivative of -10071*i**4 - 746*i**3 + 803*i**2 + 5523*i wrt i. -241704*i - 4476 What is the derivative of -481727084*m**2 + 381895655? -963454168*m Differentiate -15787774*k - 3237679 with respect to k. -15787774 What is the first derivative of 7379*h**2*l**2 - 412*h**2*l*z + 207*h**2 - 6320*h*l**2*z wrt z? -412*h**2*l - 6320*h*l**2 What is the third derivative of -4*p**2*s**3 + 5*p**2*s + 4*p**2 - 6718481*p*s**4 + 63*p*s - 11*p + 4*s**2 - 2*s wrt s? -24*p**2 - 161243544*p*s What is the second derivative of 24003471*m**2 - 35034195*m wrt m? 48006942 Find the second derivative of -176088651*x**2 - x - 21405693. -352177302 Find the third derivative of 4565437*w**3 + 802035*w**2 wrt w. 27392622 What is the derivative of 148544*m**3 + 2*m**2 + 3*m - 6903472? 445632*m**2 + 4*m + 3 What is the second derivative of 101190061*d**4 - 154549812*d wrt d? 1214280732*d**2 Differentiate 31*u*x**2 + 3137361*u*y**3 + 560*x**2*y**3 + 2*x**2*y**2 + 2*x**2*y + 33*x*y**3 - x*y**2 + 187*y**2 wrt u. 31*x**2 + 3137361*y**3 Find the second derivative of 1551*p**3 - 479*p**2 - 39*p + 47708 wrt p. 9306*p - 958 What is the second derivative of -52615142*d**3 - 70633646*d wrt d? -315690852*d Find the second derivative of 5344478*y**3 - 18981859*y wrt y. 32066868*y What is the derivative of -2324291*g**3 - 12*g + 974435062 wrt g? -6972873*g**2 - 12 What is the third derivative of -4265283*q**3 - 49592339*q**2? -25591698 What is the second derivative of 7*d**4 + 72785*d**3 + 6*d**2 + 3397*d + 19736? 84*d**2 + 436710*d + 12 What is the third derivative of 1454*c*h**3 - c*h**2 - 3*c + 897*h**3 - 52*h**2 - 2248*h wrt h? 8724*c + 5382 Differentiate 1690*d**3 + 568*d - 17604863. 5070*d**2 + 568 Find the second derivative of h**5 - 399988*h**2 + 3*h + 1076831 wrt h. 20*h**3 - 799976 What is the second derivative of -3*t**3 - 2250926*t**2 + 7166331*t? -18*t - 4501852 Differentiate -2749*m**4 + 4*m**3 + 4*m - 6464432. -10996*m**3 + 12*m**2 + 4 What is the third derivative of 40572821*z**5 - 234866*z**2 + z + 2? 2434369260*z**2 Find the second derivative of 2*i**5*y + 6039628*i**3*y**3 + 124*i*y**3 - i*y**2 + 46*i wrt i. 40*i**3*y + 36237768*i*y**3 What is the derivative of 12914*t**3 - 10041*t**2 + 1126527383 wrt t? 38742*t**2 - 20082*t What is the third derivative of 104621611*v**6 + 79*v**2 + 577395 wrt v? 12554593320*v**3 Find the second derivative of -8662251*u**4 - 312669*u + 10 wrt u. -103947012*u**2 Find the second derivative of -70218041*r**4 - 63764078*r wrt r. -842616492*r**2 What is the second derivative of 6235564*k*q**2 + k*q + 7*k + 2*q**2 + 508*q - 70 wrt q? 12471128*k + 4 Find the third derivative of 296*l**4 + 125750*l**3 + 1446*l**2 - 3*l - 183 wrt l. 7104*l + 754500 What is the third derivative of -22*d**3*o**3 - 280188*d**3*o + 2*d**3 - d**2*o - 2*d**2 - 3438*d*o**3 + 254*o**3 wrt d? -132*o**3 - 1681128*o + 12 What is the second derivative of -599916218*s**2 + 51815653*s - 2 wrt s? -1199832436 What is the derivative of -31445*h**3 + h**2 - 29*h + 20671387 wrt h? -94335*h**2 + 2*h - 29 Find the third derivative of -2643473*v**6 + 35862972*v**2. -317216760*v**3 Find the third derivative of 13140773*j**3 - 4574094*j**2 - 2*j. 78844638 Find the third derivative of -j**3*l*s + 88904*j**3*s**3 - 5012*j**2*l*s**2 + 8*j**2*s + 115*j*s**3 wrt j. -6*l*s + 533424*s**3 Find the second derivative of -52*t**3 - 77269*t**2 + 43007449*t wrt t. -312*t - 154538 Differentiate 18694939*f + 13161903 with respect to f. 18694939 What is the second derivative of 2*d**2*y**2 - 2*d**2*y - 146*d**2 + 10317*d*y - 25079547*y**2 wrt y? 4*d**2 - 50159094 What is the derivative of -8984*a**2*b**2 - 207*a**2*b - 2*a**2 + 1421324*a wrt b? -17968*a**2*b - 207*a**2 Find the third derivative of 1484*u**4*x**2 - 15*u**4*x + 534*u**2*x**2 - 4*u**2*x - 17*u**2 + 2*u*x - 5*x**2 wrt u. 35616*u*x**2 - 360*u*x Find the third derivative of -291509686*l**4 - 1292387*l**2 + 2*l - 4 wrt l. -6996232464*l Find the second derivative of 1716935*i**2*y + 3*i*y + 2*i + 47*y + 133 wrt i. 3433870*y Find the second derivative of -3853*n**3*o**2 - 39*n**3 + n*o**2 - 37*o**2 + 3247*o wrt o. -7706*n**3 + 2*n - 74 Find the second derivative of -1356820192*p**3*r**2 + 389258150*p**3*r wrt r. -2713640384*p**3 What is the second derivative of -486*f**3*y + 4*f**3 - 22*f**2*y + 90*f**2 - f*y + 54*f + 8*y - 20031 wrt f? -2916*f*y + 24*f - 44*y + 180 What is the first derivative of -18935137*m**4 + 3230975 wrt m? -75740548*m**3 What is the third derivative of 156801036*q**3 + 90573745*q**2? 940806216 Find the second derivative of 2*l**5 - 191071387*l**3 - 8*l - 552097. 40*l**3 - 1146428322*l What is the first derivative of 9595124*m**2 + 58215800? 19190248*m What is the first derivative of -9668802*q - 4839192 wrt q? -9668802 Differentiate -579507*n*r**3 - 112*n*r + 73640799*n wrt r. -1738521*n*r**2 - 112*n What is the second derivative of 111458*c**2*p**2*w + 17*c**2*w - c*p**2*w + c*p**2 - 2*c*p*w - 3*c*p + 202*c + p**2*w wrt c? 222916*p**2*w + 34*w Find the first derivative of 3*n**4 + 23*n**3 - 296*n**2 + 50*n + 7163740 wrt n. 12*n**3 + 69*n**2 - 592*n + 50 W
{ "pile_set_name": "DM Mathematics" }
rt(204)*-2 - sqrt(204))*6)/sqrt(12))**2 - (1 + (2*sqrt(1377) - sqrt(1377)) + sqrt(1377) + sqrt(1377)). -27*sqrt(17) + 6136 Simplify (sqrt(242) + -1)*4*3 + -2. -14 + 132*sqrt(2) Simplify sqrt(1700) + 0 + 3 + 5. 8 + 10*sqrt(17) Simplify 6*-4*sqrt(4)/(sqrt(12)/sqrt(6) + sqrt(2)). -12*sqrt(2) Simplify ((sqrt(605) - (sqrt(605) + -1)) + 0 + sqrt(605))**2. 22*sqrt(5) + 606 Simplify -2*(1*sqrt(343)*-3)**2. -6174 Simplify ((sqrt(931) - (sqrt(931) + 3)) + 2)**2 + 2. 3 Simplify (2 + (-3 + sqrt(288) - sqrt(288)) + sqrt(288))**2. -24*sqrt(2) + 289 Simplify sqrt(44)/(sqrt(4)*2) + 5. sqrt(11)/2 + 5 Simplify 1 + (sqrt(11) - (sqrt(66)/sqrt(6) + 1) - (-1 + sqrt(891))**2). -892 + 18*sqrt(11) Simplify (sqrt(1377) + -1)*-6 + -5. -54*sqrt(17) + 1 Simplify (-3 + sqrt(612) + 3 - sqrt(612) - -3*sqrt(612)*-1)**2. 5508 Simplify (sqrt(152)/(-6*sqrt(72)/sqrt(9)))**2. 19/36 Simplify ((1*sqrt(76))**2 + sqrt(76))*-3 + 0. -228 - 6*sqrt(19) Simplify (2 + 2*sqrt(5) + sqrt(5) + sqrt(30)/sqrt(216) + -5)**2. -19*sqrt(5) + 2129/36 Simplify -6*-3*(sqrt(637)*-2 + sqrt(637)). -126*sqrt(13) Simplify (-5 + sqrt(1323))**2. -210*sqrt(3) + 1348 Simplify -6*-6*(-3*sqrt(2))**2. 648 Simplify sqrt(171)/(sqrt(144)/sqrt(4)). sqrt(19)/2 Simplify -1 + (2 + sqrt(4)/sqrt(2) - sqrt(2))**2 + -1. 2 Simplify -1 + (sqrt(1584) + sqrt(1584) + -1 + 1 + sqrt(1584) - sqrt(1584))**2. 6335 Simplify -4*(0 + sqrt(2))**2 + (4*(sqrt(2) + sqrt(4)/sqrt(2)))**2 + 5. 125 Simplify -1 + sqrt(68)/sqrt(4) + 1 + sqrt(2448) + -1 + sqrt(68) + (sqrt(17) - sqrt(612)*2). -1 + 4*sqrt(17) Simplify (sqrt(10) - (sqrt(160) + sqrt(10))*-1)/(sqrt(16)/(sqrt(8) - sqrt(8)*-2)). 18*sqrt(5) Simplify ((5 + sqrt(13)*1 + 1)*-1)**2. 12*sqrt(13) + 49 Simplify ((sqrt(475) - (sqrt(475) + -5)) + 2 + sqrt(475) + 0)**2. 70*sqrt(19) + 524 Simplify (sqrt(3520)/sqrt(11))**2 - ((sqrt(125))**2 + 0). 195 Simplify -1*((0 + sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108)). 0 Simplify 4*(sqrt(28) + sqrt(28) + (sqrt(4032) - ((1*sqrt(4032) - sqrt(4032)) + sqrt(4032))))/((sqrt(112)/sqrt(4))/sqrt(7)). 8*sqrt(7) Simplify -6*(-2*((-1 + sqrt(539) - sqrt(539)) + 4))**2. -216 Simplify (((1 + 2*sqrt(7) - sqrt(7)) + sqrt(7) - sqrt(7)) + (((sqrt(567) + -1*sqrt(567) - sqrt(7)) + sqrt(7) - sqrt(7))**2 - sqrt(7)))*2. 16 Simplify (-1 + sqrt(3087) + 4 + (sqrt(3087) - sqrt(3087)*-1) + -4)**2. -126*sqrt(7) + 27784 Simplify (sqrt(704) - (sqrt(704) - (sqrt(704) - (sqrt(704) + 1 + sqrt(704))*-2)) - sqrt(704))**2. 128*sqrt(11) + 11268 Simplify (6*1*sqrt(19) + -2)**2. -24*sqrt(19) + 688 Simplify sqrt(204)/(5*sqrt(36)/sqrt(3)). sqrt(17)/5 Simplify -5*(sqrt(17) + sqrt(272) + 3)**2 + (sqrt(119)/(sqrt(7)*2*1))**2. -8663/4 - 150*sqrt(17) Simplify 3*-1*sqrt(343) + sqrt(343). -14*sqrt(7) Simplify (-4 + sqrt(49)/sqrt(7))*2. -8 + 2*sqrt(7) Simplify sqrt(35)/(sqrt(320)*-1 - sqrt(320)). -sqrt(7)/16 Simplify (sqrt(1539) + -2 + sqrt(1539)*2 + sqrt(1539))**2 + -2*1*sqrt(19)*-1. -142*sqrt(19) + 24628 Simplify 6*sqrt(1300)*2. 120*sqrt(13) Simplify (sqrt(7) - (sqrt(252) + 0)**2) + (sqrt(7) - (sqrt(7) + (-1*sqrt(7) - sqrt(7)) + 2)). -254 + 3*sqrt(7) Simplify sqrt(17) - ((3 + sqrt(17))*5)**2 - (3 + sqrt(17) + 4)**2. -716 - 163*sqrt(17) Simplify sqrt(30)/((2*sqrt(48))/sqrt(8)) + -4*(sqrt(105)/sqrt(3) - sqrt(35))/sqrt(7). sqrt(5)/2 Simplify (-1 + sqrt(1008))**2 + -4 + 5 + (0 + sqrt(1008))**2. -24*sqrt(7) + 2018 Simplify 2 + sqrt(26)/sqrt(2) - (sqrt(624)/sqrt(12))/sqrt(4). 2 Simplify (sqrt(170)/(sqrt(70)/(sqrt(7) + sqrt(21)/sqrt(3) + sqrt(7))) + -2)**2. -12*sqrt(17) + 157 Simplify ((-6*(sqrt(78) + sqrt(78) + sqrt(78)*3))/sqrt(6))**2 + -2. 11698 Simplify (sqrt(72)/sqrt(9))**2 + sqrt(2) + sqrt(18)/sqrt(9) + -2. 2*sqrt(2) + 6 Simplify ((-1*sqrt(70)*-1 - sqrt(70)) + sqrt(70))/(sqrt(640)*2). sqrt(7)/16 Simplify -3 + ((sqrt(2) + sqrt(8) - sqrt(2)) + 3 - sqrt(18)/(2*sqrt(9) - sqrt(9))). sqrt(2) Simplify (-2 + 4*(sqrt(19) - (sqrt(19) + sqrt(931)*-1 + sqrt(19))))**2. -96*sqrt(19) + 10948 Simplify (sqrt(72) - (sqrt(72) - (sqrt(72) + 0 + sqrt(72))))**2 + -4. 284 Simplify -3*(sqrt(567) - (1 + sqrt(567))). 3 Simplify sqrt(147) + -5 + -1*4*sqrt(3). -5 + 3*sqrt(3) Simplify ((sqrt(220)*-1)/sqrt(5))/(sqrt(32)/(sqrt(8) + sqrt(8) + sqrt(8)*2)). -4*sqrt(11) Simplify sqrt(1568) + -2. -2 + 28*sqrt(2) Simplify 4 + -4*(0 + sqrt(13))**2 + -1. -49 Simplify 4*(-1 + sqrt(704))**2. -64*sqrt(11) + 2820 Simplify sqrt(833)*5 + -5. -5 + 35*sqrt(17) Simplify (-6*1*sqrt(133))/sqrt(7). -6*sqrt(19) Simplify sqrt(72) + (2 + sqrt(72) - sqrt(72)) + -4. -2 + 6*sqrt(2) Simplify (5*(sqrt(252) + sqrt(252) + 2 + 4))**2. 3600*sqrt(7) + 26100 Simplify sqrt(25)/sqrt(5) + -2 + (sqrt(5) - -6*1*sqrt(5)). -2 + 8*sqrt(5) Simplify ((sqrt(4455)*2 - sqrt(4455))/(sqrt(121)/(sqrt(11) - (sqrt(44) - sqrt(11) - sqrt(11)))))**2. 405 Simplify -1 + -4*(sqrt(8)/sqrt(2))/sqrt(2)*-1. -1 + 4*sqrt(2) Simplify ((sqrt(133)*-3 - sqrt(133))*-2 + sqrt(133))/((sqrt(84)*-3)/sqrt(12)). -3*sqrt(19) Simplify 1 + (sqrt(27)*-3)/sqrt(9) + sqrt(3). -2*sqrt(3) + 1 Simplify (6*-2*2*sqrt(7))**2. 4032 Simplify sqrt(209)/(-3*sqrt(176) + sqrt(176)). -sqrt(19)/8 Simplify (4 + sqrt(15)/sqrt(5))*-4. -16 - 4*sqrt(3) Simplify sqrt(22)/(sqrt(200)*1). sqrt(11)/10 Simplify (sqrt(684) + sqrt(684)*-2 + sqrt(19))*-6*3. 90*sqrt(19) Simplify ((sqrt(112)*2*-4 - sqrt(112) - sqrt(112))**2 + sqrt(112))*-3. -33600 - 12*sqrt(7) Simplify ((sqrt(95)*2*5 + sqrt(95))/(sqrt(180)/sqrt(9)))**2. 2299/4 Simplify 1 + sqrt(209)/(-2*sqrt(11)). -sqrt(19)/2 + 1 Simplify (((sqrt(39)/sqrt(3))**2 - sqrt(13)) + 5 + 0)*4. -4*sqrt(13) + 72 Simplify ((5 + sqrt(1900)*-2)*6)**2*-5. -1372500 + 36000*sqrt(19) Simplify (sqrt(228) - 3*(-1*sqrt(228) + sqrt(228)))/(sqrt(300) - (sqrt(300) + (sqrt(300) - -2*sqrt(300)) + sqrt(300))). -sqrt(19)/20 Simplify -1*(-2 + -4 + sqrt(700)*2). -20*sqrt(7) + 6 Simplify -2 + (-2 + sqrt(3))**2 + -2. -4*sqrt(3) + 3 Simplify 5*(-1*sqrt(396) - sqrt(396)) + 4. -60*sqrt(11) + 4 Simplify (((sqrt(200) - (sqrt(200) + (0 + sqrt(200) - sqrt(200)))) + sqrt(200))**2 - sqrt(2)) + (sqrt(24)*-2)/sqrt(12). -3*sqrt(2) + 200 Simplify -6*(2 + sqrt(19)) + (-2*sqrt(76))/sqrt(4). -8*sqrt(19) - 12 Simplify sqrt(567) - (2 + (sqrt(567) + 0 - sqrt(567))). -2 + 9*sqrt(7) Simplify (sqrt(76) + (sqrt(76) - 1*sqrt(76)*4))/(sqrt(640)/sqrt(10)). -sqrt(19)/2 Simplify sqrt(204)/(sqrt(768)*1). sqrt(17)/8 Simplify -6*((sqrt(2299)*2)**2 + -2). -55164 Simplify (sqrt(500) + -1 - sqrt(500))**2 + sqrt(500) - (sqrt(5) + -1 + sqrt(5))*2. 3 + 6*sqrt(5) Simplify (-2 + (sqrt(540)/sqrt(9))/sqrt(12))**2. -4*sqrt(5) + 9 Simplify (5 + sqrt(1053) + 0 + sqrt(1053) + ((-1 + sqrt(1053))*-5 - sqrt(1053)))**2*3. -2160*sqrt(13) + 50844 Simplify -2 + ((1*(sqrt(84) + -2*sqrt(84)))/sqrt(12))**2. 5 Simplify 3*((2*sqrt(78)*-2 + sqrt(78))/sqrt(6))**2. 351 Simplify 5 + (sqrt(11) + -2 + sqrt(11) + sqrt(11) + -2)**2 + sqrt(11). -23*sqrt(11) + 120 Simplify (sqrt(39)/(sqrt(9)/sqrt(3))*-1 - (sqrt(1573) - (5 + sqrt(1573) + -1)))**2. -8*sqrt(13) + 29 Simplify -6*(-4*sqrt(108)*2)**2. -41472 Simplify (sqrt(34) - (sqrt(34) - (sqrt(34) + 2*sqrt(306))))/(sqrt(2) - (-6*sqrt(8) - sqrt(2))). sqrt(17)/2 Simplify sqrt(22)/(sqrt(242)*3). sqrt(11)/33 Simplify (4*(sqrt(500) - 2*sqrt(500)) + 3*(sqrt(500) + -1))**2. 60*sqrt(5) + 509 Simplify ((sqrt(1331) - (sqrt(1331) + -1*sqrt(1331) + sqrt(1331))*6) + 5 + 2*sqrt(1331))**2. -330*sqrt(11) + 12004 Simplify (-2*(4 + (sqrt(832) + -2)*-5))**2. -4480*sqrt(13) + 83984 Simplify (4 + (-3*-1*sqrt(13) - sqrt(13)))**2. 16*sqrt(13) + 68 Simplify (-4*sqrt(68)/sqrt(4) - (sqrt(34)/sqrt(32))**2)*1. -4*sqrt(17) - 17/16 Simplify (sqrt(40) - 2*sqrt(4000))/(-2*sqrt(128)). 19*sqrt(5)/8 Simplify 2*(sqrt(171))**2 - (-1*sqrt(19) + sqrt(19))*2. 342 Simplify 4 + (sqrt(48) + sqrt(96)/sqrt(2))/sqrt(6). 4 + 4*sqrt(2) Simplify (0 + sqrt(153))*-4 - (-5 + sqrt(272) + sqrt(153) + 3). -19*sqrt(17) + 2 Simplify (1 + sqrt(468))*-6 + sqrt(468)*-1*-5. -6*sqrt(13) - 6 Simplify (1*(sqrt(171)*2 + sqrt(171) + sqrt(171)))/(sqrt(729)*2 - sqrt(9)). 4*sqrt(19)/17 Simplify (sqrt(7) - (-3 + sqrt(28)))**2 - sqrt(63)/(sqrt(225) + sqrt(9)). -37*sqrt(7)/6 + 16 Simplify (sqrt(204) + ((sqrt(204) - 3*sqrt(204))*3 - sqrt(204) - sqrt(204)))/(sqrt(12) + (sqrt(12) + sqrt(12)*-1)*1). -7*sqrt(17) Simplify (((sqrt(15) + sqrt(135))*-3)/(sqrt(108)*-6))**2. 5/9 Simplify ((sqrt(50)/sqrt(2)*5)/sqrt(5))*
{ "pile_set_name": "DM Mathematics" }
l - 506. What is the hundreds digit of t(-123)? 9 Let t(q) be the second derivative of q**4/12 - q**3/3 - 19*q**2 - 17*q. What is the tens digit of t(19)? 8 Let g(p) = -5*p - 121*p**3 + 12*p**2 - 8*p**2 - 9 - 3*p - 6*p**2. What is the tens digit of g(-2)? 6 Suppose 14*d - 10*d - 51 = -r, 2*r + 4*d = 102. Suppose 0 = 4*f + w + 143, 0*f + f + 35 = -w. Let k = r + f. What is the tens digit of k? 1 Suppose 20*c - 27*c = -210. Suppose 0 = 28*b - c*b + 1216. What is the tens digit of b? 0 Let l(h) = -4*h**2 - 40*h - 15. Suppose a - 6 = -15. Let d(m) = 8*m**2 + 79*m + 31. Let k(n) = a*l(n) - 4*d(n). What is the hundreds digit of k(-15)? 2 Let h(i) = 2*i + 66. Suppose 16 + 29 = 3*l. What is the tens digit of h(l)? 9 Suppose 3*z - 3 = i - 16, 0 = z + 3*i + 1. Let k be z/6*(1 - 44/8). Suppose -m = -5*m + 4*p + 172, -k*m + 2*p + 131 = 0. What is the tens digit of m? 4 Let z(h) = h**3 + h**2 + 2*h - 3. Let i be z(-3). Let q be (-14910)/i - 1/((-27)/(-6)). Suppose 2 = r, -q = -5*c - 2*r + r. What is the units digit of c? 0 Suppose -90*c + 8*c + 1712723 = -178033. What is the hundreds digit of c? 0 Suppose 52 = 3*h + 34. Suppose -4*n + 3*n = 4*t - 12, -2*t + h = -4*n. Suppose -t*c - 58 = -4*c. What is the units digit of c? 8 Suppose 4 = -114*r + 116*r. Suppose r*z - 1610 = -2*v + 456, 5*z - 2*v - 5137 = 0. What is the units digit of z? 9 Let v(d) = 9*d**2 - 14. Let z be -2 + 4 - -2*13. Suppose -4*m - z = 3*m. What is the units digit of v(m)? 0 Suppose -70 = h - 3*k, -5*h - 83 = 3*k + 357. Let v = -77 - h. What is the units digit of ((-819)/(-6))/((-1)/(v/(-6)))? 2 Let j(c) = -5*c - 29. Let i be j(-5). Let g be 13 - i*2/(-8). What is the units digit of -15*(-4)/g*43? 5 Let i(v) = 404*v + 11939. What is the thousands digit of i(-25)? 1 Let i(j) = 76*j + 42. Let t be i(14). Let l = 1887 - t. What is the units digit of l? 1 Let v = 165 - 105. Let k = -52 + v. Suppose k*m + 46 = 10*m. What is the units digit of m? 3 Suppose -21*c + 41980 + 662 = -18*c. What is the hundreds digit of c? 2 Let f = -66 + 71. Suppose f*l + 1129 - 4284 = 0. What is the hundreds digit of l? 6 Let u(b) = 844*b**2 + 9*b - 3. Let i(o) = 845*o**2 + 8*o - 3. Let p(z) = 6*i(z) - 5*u(z). What is the units digit of p(1)? 0 Suppose 0 = -0*x + 2*x - 5*s - 52, 0 = 5*x - 3*s - 168. Let h be (-9 - -1)*(-3 + 4). Let k = h + x. What is the units digit of k? 8 Let o be 250 + 2/5 + (-42)/(-70). Let c = o + -237. What is the units digit of c? 4 What is the ten thousands digit of (-207)/(-63) + (-15)/(-21) + 1 + 11436? 1 Let l = 2150 - 1353. Suppose 5*z - l = 278. What is the hundreds digit of z? 2 What is the thousands digit of 15 - (2 - 6)*10513? 2 Suppose 0 = 13*u - 32*u + 62510. What is the thousands digit of u? 3 Suppose -5*h + 242 + 428 = 0. Let z = -911 + 998. Let n = h - z. What is the units digit of n? 7 Let h(r) = 20*r**2 - 635 - 765 + r**3 - 3*r + 1273. What is the units digit of h(-10)? 3 Let f(r) = 28*r - 48. Let y be f(3). Let i(a) = a**3 - a**2 + 36. Let s be i(0). Suppose t = y + s. What is the tens digit of t? 7 Let s(w) = -25*w + 126. Let p(l) = -23*l + 126. Let g(j) = 6*p(j) - 5*s(j). What is the tens digit of g(-33)? 5 Let z(m) = -68*m**3 + 15*m**2 + 65*m + 573. What is the ten thousands digit of z(-9)? 5 What is the hundreds digit of 1277 - (-8 - (4/2 + -3))? 2 Let j be (9/(-2) + 2/(-12))*3. Let w(p) = -36*p - 162. What is the units digit of w(j)? 2 Suppose -3*a - o - 2*o = -4494, 0 = -4*a + 5*o + 5992. Suppose n - 3*j = a - 470, -3*n + 3*j + 3108 = 0. What is the units digit of n? 0 Let v(g) = g**3 - 9*g**2 + 13*g - 8. Let n be 4*1 + 5 + 4. What is the units digit of v(n)? 7 Suppose 0 = -4*y - 22 + 54. What is the units digit of 0 + y/(-44) - (-15186)/33? 0 What is the thousands digit of (-11 + 16 - 423/(-1))*20? 8 Let z(l) = -l**3 + 13*l**2 + 11*l + 66. Let u be z(14). Suppose -4*g + u = -1144. What is the hundreds digit of g? 2 Let u(k) = 497*k + 777. What is the tens digit of u(4)? 6 Suppose 2*g = 4*g + 4*c + 1572, -5*g = -3*c + 3956. Let t = g + 1122. What is the hundreds digit of t? 3 Let n be 12/(-4) + (6 - 0). Suppose 2*g + 4 = 4*y, 4*y + 2*g = n*g + 8. Suppose -825 = -2*c - 3*c + y*o, -5*o = 5*c - 865. What is the tens digit of c? 6 Let l = -116 + 116. Suppose 7*p - 12*p + 1855 = l. What is the hundreds digit of p? 3 Suppose -142*k + 141*k - 4*w + 8612 = 0, 5*w + 35 = 0. What is the units digit of k? 0 Suppose 1 + 1 = -k. Let d be (-17 - (0 + k))/((-26)/78). What is the units digit of 1143/d + 6/10? 6 Let b = 2370 - -1728. What is the thousands digit of b? 4 Suppose -35*z + 90 = -50*z. What is the thousands digit of z + 15/((-120)/(-9296))? 1 Let r be 0*(5/2)/5. Suppose -5*u = t - r*t + 6, 4*t = u - 66. What is the hundreds digit of (-40)/(2 - (-36)/t)? 1 Let d(a) be the second derivative of -a**3/3 - 6*a**2 - 14*a. Let o be d(-9). What is the tens digit of ((-37)/4)/(o/(-48))? 7 Let z(s) = 2*s**3 - s**2 - 3*s + 1. Let i be z(2). Suppose i*f - 2*f = -35. Let p = f - -93. What is the tens digit of p? 8 Suppose -2*s + 51 = 3*n, -21*n + 20*n - 5*s + 4 = 0. Suppose n*g - 838 = -p + 23*g, 3*g - 2529 = -3*p. What is the tens digit of p? 4 Let u = -761 + 789. Let p(t) = t + 31. What is the tens digit of p(u)? 5 Suppose 74*o + 16633 = 544510 + 124433. What is the tens digit of o? 1 Let w(z) = 39*z + 7. Let c(m) = -77*m - 15. Let t(b) = -2*c(b) - 5*w(b). Suppose 0 = 3*j + 17 - 5, 0 = -4*n - 4*j - 32. What is the hundreds digit of t(n)? 1 Let g = 234 - 243. Let k(l) = -89*l - 79. What is the tens digit of k(g)? 2 Let w(n) = n**3 + 36*n**2 - 61*n - 30. What is the thousands digit of w(-31)? 6 Let m(a) be the first derivative of 21*a**4/2 + 2*a**3/3 - 3*a**2/2 + 9*a + 47. Let v be m(2). Let s = -132 + v. What is the tens digit of s? 1 Suppose 5*c - 42 = -2*l, -3*c - 63 = -3*l - 2*c. Suppose 0 = 5*d - l + 26. What is the units digit of d + -3 - (-276)/12? 9 Let o be 1*((3 - 6) + 13). Suppose 0 = 4*g - 14 - o. Suppose -g*h + 4*h = -78. What is the tens digit of h? 3 Let y(p) = -6*p - 24. Let k be y(-4). Let h = 1 + -1. Suppose l + k*l - 11 = h. What is the units digit of l? 1 Let j = -396 - -403. What is the hundreds digit of (-536 - 0)*(j - 9)? 0 Suppose -14 = f + 5*d - 46, 3*f - d = 144. Suppose 3*b = -9, -t + b - 6*b = -f. Let x = 14 + t. What is the tens digit of x? 7 Suppose -9*y + 8*y = -3*n - 9222, -5*y + 46054 = -n. What is the units digit of y? 0 Let q(s) = -s**3 + s**2 - s + 29. Let y be q(0). Let i = 37 - y. Suppose -228 - i = -4*j. What is the units digit of j? 9 Let q(y) = -y**3 + 82*y**2 - 329*y - 253. What is the thousands digit of q(41)? 5 What is the thousands digit of (21527/(-836))/(1/(-72))? 1 Let t = 3482 - -4839. What is the units digit of t? 1 Let u = 33352 - 16641. What is the tens digit of u? 1 Let u = -116 + 120. Suppose 38 = u*o - 6. Suppose -740 = -15*b + o*b. What is the tens digit of b? 8 Suppose 0 = -j - 2*j + 9. Suppose 0 = 8*m - j*m + 45. What is the units digit of m/(-1) - (2 - -1)/(-3)? 0 Let l = 641 + 278. Suppose -l = -d - 251. What is the tens digit of d? 6 Let n(c) = -c**3 + 15*c**2 + 4*c - 18. Let i be n(-15). Suppose -i = 30*k - 38*k. What is the tens digit of k? 3 Suppose -660570 = 685*a - 4488350. What is the hundreds digit of a? 5 Let g(x) = 65*x**2 - 14*x - 28. Let c be g(-2). Suppose s + c + 968 = 3*y, y - 404 = -5*s. What is the hundreds digit of y? 4 Suppose 356 = -6*m + 4*m - 4*a, m - 4*a + 154 = 0. Let y = m + 260. What is the units digit of y? 0 Suppose -9*m = -33994 + 11926. Suppose 5*h - 1615 = 4*a + 828, -a = -5*h + m. What is the hundreds digit of h? 4 Let f(p) be the first derivative of p**4/4 + 5*p**3/3 - 11*p**2/2 + 20*p + 4. Let q = -45 - -50. What is the tens digit of f(q)? 1 Let l be ((-2)/(-4))/(4*1/192). Suppose -1565 = -l*p + 19*p. What is the units digit of p? 3 Let s(z) = 2*z**2 + 13*z + 163. Let b be s(-20). Let g = 1729 - b. What is the thousands digit of g? 1 Let v(d) = 57*d**2 - 4*d - 4. Let j be v(-1). Suppose -j*n + 1184 = -53*n. What is the units digit of n? 6 Suppose -5*j + 17 = 2. Suppose k + 13 = -2*b + 14, b - 4 = -4*k. Suppose 4*n - 516 = -3*a, j*a + b*a = n - 114. What is the units digit of n? 6 Let f(v) = v**3 + 32*v**2 + 16*v + 24. Let l be f(-36). What is the units digit of l/(-16)*(-10)/(-15)? 9 Suppos
{ "pile_set_name": "DM Mathematics" }
/11 Put 195378, 4, -2/21 in decreasing order. 195378, 4, -2/21 Put 191, -1, 13, -157, -34 in increasing order. -157, -34, -1, 13, 191 Sort 0, -1, -27, 264 in increasing order. -27, -1, 0, 264 Put -4, 30, 9836 in descending order. 9836, 30, -4 Sort 1/12, 3, -98826, -2, 0.6 in ascending order. -98826, -2, 1/12, 0.6, 3 Sort 305, 0, -1, 4, -36 in descending order. 305, 4, 0, -1, -36 Put -8, -3, -9763, 7, 0 in ascending order. -9763, -8, -3, 0, 7 Put 5, 3, 6, -1671, -2, -13 in ascending order. -1671, -13, -2, 3, 5, 6 Sort 30, -1653, 2, 0, 1, -6. -1653, -6, 0, 1, 2, 30 Put 4, -21, 209, -8, -7 in decreasing order. 209, 4, -7, -8, -21 Sort 14, 5236, 3, 2/15 in descending order. 5236, 14, 3, 2/15 Put 4, -5, 3, 2, -51, -3, -26 in increasing order. -51, -26, -5, -3, 2, 3, 4 Sort 0.5, 3/715, 297/19, -0.3. -0.3, 3/715, 0.5, 297/19 Sort -5, -914, 132, -0.3 in ascending order. -914, -5, -0.3, 132 Sort 0.2, -21.72, -7, 0.5 in ascending order. -21.72, -7, 0.2, 0.5 Sort 1177, -30, -22, -23 in increasing order. -30, -23, -22, 1177 Put -59, -2, 83387 in decreasing order. 83387, -2, -59 Sort 0.5, -0.2, 41, 1535, 0.2, 5/7 in ascending order. -0.2, 0.2, 0.5, 5/7, 41, 1535 Put 1238, 0.5, 6, -22 in descending order. 1238, 6, 0.5, -22 Sort 4, 2/71965, 10/13. 2/71965, 10/13, 4 Sort 1, 5524, 0, 3597 in decreasing order. 5524, 3597, 1, 0 Sort -13, 14485, 4, -7 in descending order. 14485, 4, -7, -13 Put -10, -5, -2, -18, 13, 3, -15 in descending order. 13, 3, -2, -5, -10, -15, -18 Sort -10, 1/3, -2/10633, 269 in descending order. 269, 1/3, -2/10633, -10 Sort 6, -2, -183, 4, -22. -183, -22, -2, 4, 6 Put 72, -4, -1036, -1/3, -2/7 in decreasing order. 72, -2/7, -1/3, -4, -1036 Put 20, -12607, -1 in descending order. 20, -1, -12607 Put -3, -58, -1, 39175 in decreasing order. 39175, -1, -3, -58 Put -66/13, -5/371, -11/30 in descending order. -5/371, -11/30, -66/13 Sort -3, -10, 2, 3, -24, 59, -1 in increasing order. -24, -10, -3, -1, 2, 3, 59 Sort 197, -1311, -4, -3, -1, -8, -2 in decreasing order. 197, -1, -2, -3, -4, -8, -1311 Sort -1, 35705, -3, 1 in descending order. 35705, 1, -1, -3 Sort 25054, 0.4, 183, 2 in ascending order. 0.4, 2, 183, 25054 Put -1/3, -3.05, -1, -785416 in descending order. -1/3, -1, -3.05, -785416 Put -0.4, 0.3, 0.11, -776, -6 in increasing order. -776, -6, -0.4, 0.11, 0.3 Put -26, 1276, -16, -73 in descending order. 1276, -16, -26, -73 Sort -1.3167, 7/270, -4 in decreasing order. 7/270, -1.3167, -4 Put -4.68, -1/50, 8, -4/3, -3, 0.5 in ascending order. -4.68, -3, -4/3, -1/50, 0.5, 8 Sort 1, -0.8, -0.036, 34.86 in increasing order. -0.8, -0.036, 1, 34.86 Put -0.1, -3, -27.5343, 3 in descending order. 3, -0.1, -3, -27.5343 Sort 1/3, -14, -5, -9/13 in descending order. 1/3, -9/13, -5, -14 Sort -6, -499, -65, -83 in decreasing order. -6, -65, -83, -499 Sort 1, 1014, 61, 403. 1, 61, 403, 1014 Sort 2, -4, -29, 1315, 5, 158 in ascending order. -29, -4, 2, 5, 158, 1315 Put 6674, -5, 72 in increasing order. -5, 72, 6674 Sort -842459, 45, -3. -842459, -3, 45 Sort -190, 1529, -3, -7, 4 in descending order. 1529, 4, -3, -7, -190 Sort -312841, 0, -8 in increasing order. -312841, -8, 0 Put -23652, -1/4, 22 in descending order. 22, -1/4, -23652 Sort -3, -254, -6, 24, -797. -797, -254, -6, -3, 24 Sort 33, 4, 0.04, 2, 0.9, 157 in ascending order. 0.04, 0.9, 2, 4, 33, 157 Sort 2/7, -117, -784110 in descending order. 2/7, -117, -784110 Sort -40, 1, 9, -93, 5, -2, -20. -93, -40, -20, -2, 1, 5, 9 Sort 0, 30816, -3, -83 in decreasing order. 30816, 0, -3, -83 Sort 17, -91, 4, 11, 0.3, 0 in ascending order. -91, 0, 0.3, 4, 11, 17 Sort 4, -3, -1202, 7, 2 in descending order. 7, 4, 2, -3, -1202 Sort -79, 0, -20, -2/13, 39, 22. -79, -20, -2/13, 0, 22, 39 Put -28, -10280, -4, 1, 5 in ascending order. -10280, -28, -4, 1, 5 Sort 1/2, -5, -0.2, -16, -96, -0.5 in decreasing order. 1/2, -0.2, -0.5, -5, -16, -96 Put 1, -5, 75, -131, 4, -12 in descending order. 75, 4, 1, -5, -12, -131 Sort -1, 5, 384070, 1, -52 in decreasing order. 384070, 5, 1, -1, -52 Sort -2375, -52, 55, -1. -2375, -52, -1, 55 Put 2, -925887, 0 in decreasing order. 2, 0, -925887 Put 60.77, 1410, 3 in increasing order. 3, 60.77, 1410 Sort -2, 16268, 10, -1/3, 2/5, 1/5 in descending order. 16268, 10, 2/5, 1/5, -1/3, -2 Sort -30, 0, -12, 7065 in decreasing order. 7065, 0, -12, -30 Sort -2/1715, 0.2, -1, -4, 8/11. -4, -1, -2/1715, 0.2, 8/11 Sort -3, -87081, 1, -68 in increasing order. -87081, -68, -3, 1 Put -20, 10, 131406 in descending order. 131406, 10, -20 Put 2/5, -1/3, 0.5, 9429.426 in decreasing order. 9429.426, 0.5, 2/5, -1/3 Put -14, -712465, -4 in increasing order. -712465, -14, -4 Put 2, -10/23, -880/43, 2/7 in increasing order. -880/43, -10/23, 2/7, 2 Sort 0, -4, -3, -84, -5, 2, 3133. -84, -5, -4, -3, 0, 2, 3133 Sort 2/5, -0.7, 24303. -0.7, 2/5, 24303 Sort 0.5, -3097, 2/11, -180. -3097, -180, 2/11, 0.5 Sort -182, 556, 50. -182, 50, 556 Put 0, -41/20, 6605 in ascending order. -41/20, 0, 6605 Put 0.031, -2/3, 1/411, -0.1 in decreasing order. 0.031, 1/411, -0.1, -2/3 Put -5, -3, -9133, 2, 4, -1, 1 in descending order. 4, 2, 1, -1, -3, -5, -9133 Sort -29, -4263, -5, -1 in ascending order. -4263, -29, -5, -1 Sort -2, -126, 0.2, -3, 0.4, -827/5. -827/5, -126, -3, -2, 0.2, 0.4 Sort -3, 304, -47, 1 in descending order. 304, 1, -3, -47 Put 1/6, 0.5, 0.5228, 2/605, 1 in decreasing order. 1, 0.5228, 0.5, 1/6, 2/605 Put -2189, -1, -5, -14, 2, 7 in descending order. 7, 2, -1, -5, -14, -2189 Put -6908, -478, 5 in increasing order. -6908, -478, 5 Sort -1, 1, 25, 18, 2, -4, 162 in decreasing order. 162, 25, 18, 2, 1, -1, -4 Sort 3, 73, -1374064. -1374064, 3, 73 Sort -0.021, -5, -6, -1/4, 12.57 in decreasing order. 12.57, -0.021, -1/4, -5, -6 Put 5, 2, 1, 3, 2740, -3, -273 in decreasing order. 2740, 5, 3, 2, 1, -3, -273 Put 0.497865, -0.4, 1, 0 in ascending order. -0.4, 0, 0.497865, 1 Sort 1/4, 0.426286, 0.68 in increasing order. 1/4, 0.426286, 0.68 Put 4, -0.18, -31/3, 619 in decreasing order. 619, 4, -0.18, -31/3 Put 3, -23.9, -0.4, -747 in decreasing order. 3, -0.4, -23.9, -747 Put 6, 5, -18, -23, 0, 4 in descending order. 6, 5, 4, 0, -18, -23 Put 11487, -58, 11 in increasing order. -58, 11, 11487 Sort -4, 3237, 1, 204. -4, 1, 204, 3237 Sort 0.5, 26.4, 6, 2, 5, 0, 79 in descending order. 79, 26.4, 6, 5, 2, 0.5, 0 Sort -3142, -293, 1 in decreasing order. 1, -293, -3142 Sort 0.3, 1007, -103.5, -19 in increasing order. -103.5, -19, 0.3, 1007 Put -10/7, 3/5, 1/12, -8839 in descending order. 3/5, 1/12, -10/7, -8839 Sort 5, 155, -4, -1, 460583 in ascending order. -4, -1, 5, 155, 460583 Sort -0.04, -3, -0.5, -4/1159451. -3, -0.5, -0.04, -4/1159451 Sort -283, 248, -3, -1, 0, 3. -283, -3, -1, 0, 3, 248 Put 0, 596640, -3/4 in descending order. 596640, 0, -3/4 Sort -20/7, 1947, -22 in descending order. 1947, -20/7, -22 Sort 112, 10, 2, 1, -3, -2 in ascending order. -3, -2, 1, 2, 10, 112 Sort -67671, 240, 14 in ascending order. -67671, 14, 240 Put -2/9, 4, 2/15, 61, 2/13, -2.01 in descending order. 61, 4, 2/13, 2/15, -2/9, -2.01 Put -1/29, 2, 18423, -30/13 in decreasing order. 18423, 2, -1/29, -30/13 Put -2/75, 1/16, 4, -912/25 in increasing order. -912/25, -2/75, 1/16, 4 Put 17, -0.4, -2.17, -4, -17, 0 in descending order. 17, 0, -0.4, -2.17, -4, -17 Put -2, -13, 17, 3, -3, -97 in descending order. 17, 3, -2, -3, -13, -97 Sort -3840/11, -0.5, -7/3, 2/7 in increasing order. -3840/11, -7/3, -0.5, 2/7 Put 31, -19, -4, -5, 1, 158 in decreasing order. 158, 31, 1, -4, -5, -19 Put 0.25, 1, 2/3, -0.02, 267.3 in descending order. 267.3, 1, 2/3, 0.25, -0.02 Sort -64336, 1/59, -3 in decreasing order. 1/59, -3, -64336 Sort 20, -2, 11, 2, 96, 9 in increasing order. -2, 2, 9, 11, 20, 96 Sort -3/2, -98, 2/7, -133 in ascending order. -133, -98, -3/2, 2/7 Sort -3/23, -3/5, -10638, -2 in decreasing order. -3/23, -3/5, -2, -10638 Sort -5, 1, -2, -1, -4, 576, 4 in descending order. 576, 4, 1, -1, -2, -4, -5 Put 3, -260, -34, 7, 0, -540 in ascending order. -540, -260, -34, 0, 3, 7 Put -1, -2/15, 0, -7, -7983, -3, 5 in descending order. 5, 0, -2/15, -1, -3, -7, -7983 Put 5, -7, 18, -27, -2, 10344 in ascending order. -27, -7, -2, 5, 18, 10344 Sort 2, -8, -842633, -4, 4. -842633, -8, -4, 2, 4 Sort -3411, 72, -0.4 in decreasing order. 72, -0.4, -3411 So
{ "pile_set_name": "DM Mathematics" }
4 Solve 3*u + 5*m = 37, -10 = -3*m + 14 for u. -1 Solve -u - 21 = 4*w, w - 1401*u = -1399*u - 3 for w. -5 Solve -36 = -4*l - 5*q, -1655*l + 1657*l + 3*q = 22 for l. -1 Solve -9*i - 16 = -6*i - 4*k, k - 4 = 4*i for i. 0 Solve x - 5 = 0, -62*w = -61*w + 5*x - 30 for w. 5 Solve -5 = 5*p - 4*k, 0 = -2*p - 2*k + 6 - 26 for p. -5 Solve h - 21 = -4*u, 3*u - h + 1590 - 1597 = 0 for u. 4 Solve -5*j - 3*y = -17, 3 = j + 563*y - 562*y for j. 4 Solve -2*f + 33*x + 10 = 55*x - 23*x, 2*f - 18 = 3*x for f. 3 Solve -18 = 3*m - 995*d + 998*d, 0 = m + 2*d + 7 for m. -5 Solve 0 = -5*b - t, -b - 4*t + 8*t + 21 = 0 for b. 1 Solve -2*i + 14 - 36 = 3*d, 3*d + 17 = -i for d. -4 Solve 25*s - 30*w + 25*w = 30, -s = -w + 2 for s. 2 Solve 5*b + 12 = j, -6*b - j + 2756 - 2777 = 0 for b. -3 Solve -3*h - 76 = 4*p, 937*h - 950*h + 5*p = 307 for h. -24 Solve 5*u + h + 55 = 0, 0 = -770*u + 769*u - 3*h + 3 for u. -12 Solve 4*h + 14 = 3*v, 27*v - h + 24 = 29*v for v. 10 Solve -2100*m = -2095*m - 15, -6*m + 28 = -l + 5*m for l. 5 Solve 5*h - 21*m + 194 = 0, m + 697 = 2*h + 708 for h. -1 Solve 5*b = 2*z + 17, 5200*z + 8 = b + 5195*z for b. 3 Solve -2*w - 11 = 4*d - 5, 0 = 2*d - w + 1 for d. -1 Solve 0 = z - 4*d - 4, -160*z + d - 14 = -156*z for z. -4 Solve 2*s - g + 1 = 0, 0 = 211*s - 220*s - 2*g - 37 for s. -3 Solve 0 = l - f - 59 + 41, 3*l - 76 = 4*f for l. -4 Solve 0 = -4*g - 4*x - 36, -38*g + 2*x = 370 - 188 for g. -5 Solve -d + 3*r = -21, -7*d - 14 = -11*d - 2*r for d. 6 Solve 0 = 4*a + 8*s + 28, 2*a = -s + 219 - 218 for a. 3 Solve -7 = -g - 5*t, 12*t = -2*g + 11*t + 5 for g. 2 Solve 385*g + 9 = -5*b + 384*g, 2*g = -5*b - 13 for b. -1 Solve 11*f - 5*k = -27, -31*k - 57 = f - 36*k for f. 3 Solve -5*r + 2*m - 15 = 0, -4*r - m = -3*m + 12 for r. -3 Solve 16 = 5*y - 3*o - 23, 5*y = -2*o + 36 + 13 for y. 9 Solve -h - 6 = 41*p - 40*p - 0*h, 0 = 3*p - 6*h + 18 for p. -6 Solve 0 = -2*t - 4*v - 100 + 34, 2*t - 4 = v for t. -5 Solve -18 + 2 = -5*t - 3*x, 4*t - 4*x = 0 for t. 2 Solve 4*m + 5*r = 9, 3*m + 79*r - 80*r = 2 for m. 1 Solve 2*m = -5*s - 27, -4*m - 23*s + 28*s + 21 = 0 for m. -1 Solve 4 = -4*k + 16*s - 12*s, -5*k + 3*s + 3 = 0 for k. 3 Solve -m = d + 108 - 96, -m = 5*d + 60 for d. -12 Solve -16 = -4*k + 2*u, -115*k - 4*u + 7 = -110*k for k. 3 Solve 0 = -3*q + m + 6, -2*q + 5*m - 13*m + 4 = -4*m for q. 2 Solve 2*q = -4*d + 379 - 359, -2*d + 2*q = 2 for d. 3 Solve 2*r = -4*b - 16, 232 = 4*b - 2*r + 240 for b. -3 Solve 3*b - 35 = 5*s - 25, 9 = -s + 2*b for s. 1 Solve 0 = 4*x + 4*s + 28, -4*s + 114 - 118 = 0 for x. -6 Solve -2*p = -3*z + 13, 2*z = 3597*p - 3593*p + 22 for z. 1 Solve 5*r = n - 7, 6*n - 105*r + 10 = -101*r for n. -3 Solve -20*y + 19*y = 3*d - 1, 5*d - 2 = -2*y for y. 1 Solve -3*d + 7 = l, -5*l = -68*d + 63*d + 5 for l. 1 Solve z + 14*n + 14 = 0, 3 = 113*n - 116*n for z. 0 Solve 191*r - 4*h = 192*r + 20, -164 = r + 40*h for r. -4 Solve 2*w - 281*n = -276*n - 31, -3*n = -5*w - 11 for w. 2 Solve 3*q + 5*o = 9, 2*q + 1397*o - 2 = 1395*o for q. -2 Solve -15 = -2*q + 3*h, 0 = -4009*q + 4006*q + 7*h + 35 for q. 0 Solve 5*m - 40 = 4*v, 6567*m - 9 = 6565*m + 3*v for m. 12 Solve 3*b + 5*v = 5, -3*v + 64 - 37 = -3*b for b. -5 Solve 6*f = 4*s + 46, -3*s = f + 3259 - 3252 for s. -4 Solve 1858 = -5*k - 2*z + 1849, 3*z - 19 = -k for k. -5 Solve 5*k + 95 = 0, -17 = -u - 2*k - 58 for u. -3 Solve -2*v + 149*n = 150*n - 10, 3*v - 2*n - 15 = 0 for v. 5 Solve -3*x = -4*m - x, -15 = -m - 2*x for m. 3 Solve -2*t = -5*n + 8, -5*t + 6*n + n = 20 for t. -4 Solve -6*x - 12*y - 30 = -8*y, -5*y + 25 = -5*x for x. -5 Solve 5*s + 85*d + 33 = 87*d, -4*s + 66 = 5*d for s. -1 Solve 5*z - 6 = 3*c, -16*c + 11*c - 5*z = -30 for c. 3 Solve 3*t - j = -1, j = -2*t - 21 + 12 for t. -2 Solve 2*k = 5*r + 45, -135*k + 81 = -9*r - 137*k for r. -9 Solve 529*j - 267*j + 5*l + 11 = 268*j, 2*j + 4*l = -2 for j. 1 Solve 0 = -5*d + y + 29, d - 4927*y = -4925*y + 31 for d. 3 Solve 5*n - 4*x + 22 = 0, 0 = -181*n + 177*n - 3*x + 1 for n. -2 Solve -114 + 120 = -2*l - 5*x, -2*x + 15 = -5*l for l. -3 Solve -5*m = 3*r + 18, 85*m = r + 84*m - 10 for r. 4 Solve -y + 6*v = -17, 3*y - 212 + 195 = 4*v - 3*v for y. 5 Solve -63766*v - 5*c + 20 = -63767*v, 0 = -4*v + 4*c for v. 5 Solve -14*j - 8*c + 8 = -18*j, c = -4*j - 8 for j. -2 Solve -29*v + 21*v = -12*v + 2*o - 18, 3*o = 21 for v. -1 Solve 0 = -10*i - 4*d + 176, -d + 163 = 159 for i. 16 Solve 5*k - 4*g - 35 = g, -9*k + 22 = 5*g + 1 for k. 4 Solve 3*y + 5*k - 10*k + 23 = 0, -4*y - 20 = -4*k for y. -1 Solve 4*d + 39 = h, d - 4*h = -2*h - 15 for d. -9 Solve 27*k + 29 = 24*k - 2*r, -87*r - 589 = -4*k for k. -5 Solve -2*b - 24 = h, -1760*h - 28 = -1763*h + 4*b for h. -4 Solve l - 4*s + 3 = 0, 5*s = 8949*l - 8951*l + 7 for l. 1 Solve -7*u = 5*f - 3, -11344*u - 21 = 5*f - 11343*u for f. -5 Solve n + 17 = 3*o, -130*o + 4*n + 47 = -121*o for o. 7 Solve -16 - 11 = 4*u + 3*s, 2*u = -4*s - 26 for u. -3 Solve -3*b + 21 - 4 = -c, -4*b = -5*c - 30 for b. 5 Solve 5*n - 22 = 3*f, 15*n = 4*f + 11*n + 24 for f. -4 Solve 0 = -4*f - 4*w - 48, 5*f + 0*f = 5*w - 70 for f. -13 Solve -3*p = 5*x - 16, 0 = -4*p - 138*x + 87*x + 243 for p. -3 Solve -9*v = -4*z + 120 - 90, 3*z + 4*v - 1 = 0 for z. 3 Solve -5*i = 3*j + 37, -i - 7 = -66*j + 67*j for j. 1 Solve 4*g + 4*n = 36, -5*n + 37 = -160*g + 163*g for g. 4 Solve 3 = -3*m + 3*r, 3*m - 31 = 4*r - 38 for m. 3 Solve 23 = 3*j + 7*n, 4*n = -3*j + 2*n - 2*n + 8 for j. -4 Solve -i + 614 = -r + 629, r - 30 = 2*i for r. 0 Solve 2*t - 24 = 0, -4*g - 10*t = -12*t + 36 for g. -3 Solve 12*m = 103*l - 105*l + 14, 3*l - 4*m + 1 = 0 for l. 1 Solve 0 = -2*b - 9*p - 4, -23*b + 2*p - 10 = -18*b for b. -2 Solve -49 = 5*v + 3*x - 69, -2 = 3*v - x for v. 1 Solve -8*o + 5*o = 0, -3*o = -4*s - 2*o + 8 for s. 2 Solve 4*h - 5*c = 9*h - 55, 3*h + 9 = 4*c for h. 5 Solve 5*z + 6 = -2*g + 28, z - 5*g = 26 for z. 6 Solve r - f = -68 + 74, -2*f = 2*r for r. 3 Solve -9 = 2*b - 29*k + 28*k, 0 = -4*b - 2*k + 18 for b. 0 Solve -393*m + 16 = 2*c - 398*m, 0 = c + m + 6 for c. -2 Solve -876*z = -5*y - 855*z + 19, 0 = -5*y + 5*z - 45 for y. -13 Solve -8*t - 2*q = -1882 + 1808, -27 = -3*t - q for t. 10 Solve 36 = -w - 5*d, 15 = -742*w + 734*w - d for w. -1 Solve -21*m + 4*p = 46, -11*m + 12*m + 5*p = 3 for m. -2 Solve 3*p - 8*k = -14, -8*p - p - 3*k = -4*p + 7 for p. -2 Solve 4*y + 2*l + 74 = 0, -2*y + 2*l = -257 + 309 for y. -21 Solve 5*a - 92 = -l - 81, 0 = 2*l - 7*a + 29 for l. -4 Solve 29 = 2*c - 2*r - 3*r, r + 5 = 0 for c. 2 Solve -4*s - 24 = 168*q - 164*q, 2*s = 3*q + 3 for s. -3 Solve -5*b + 4*r + 27 = 0, -6*b - 30 = -10*b - r for b. 7 Solve -7*m = 5*b - 53, -2*m - 50*b = -51*b - 3 for m. 4 Solve -a + 5*g = 0, 295*a - 300*a - 19 = -6*g for a. -5 Solve -18 = -167*u + 169*u + 2*c, 8*c = u for u. -8 Solve 4*o + 98 = j + 116, -11*o + 50 = -3*j for o. 4 Solve 4 = 2*r - 65*i + 66*i, 0 = 3*r + 6*i - 15 for r. 1 Solve -5*z + 60 = -2*z - z, p = -3*z + 88 for p. -2 Solve 209264*y - k = 209260*y + 8, 0 = -3*y + 5*k + 23 for y. 1 Solve q - v - 2 = 0, -18*q + 21*q + 18 = -5*v for q. -1 Solve -3*x = 43*i - 46*i - 21, -3*x = 4*i - 7 for x. 5 Solve -39 = 2*z + 5*j, 22*z - 27*z - 17 = j for z. -2 Solve 2*l - 8 = -2*q, -15 = -62*q + 59*q for l. -1 Solve -17 = -p - 3*s - s, 2*s + 2 = -4*p for p. -3 Solve 40*u + 47 = 45*u - 2*r, 78 = -2*u - 8*r for u. 5 Solve 4*s + 117*j = 124*j - 15, 5*s = 4*j + 5 for s. 5 Solve -48 = -2*k - 5*z, 4*k + 1473 = 4*z + 1541 for k. 19 Solve 0 = -4*d - 5*t - 12, 3*d + 10 = -3124*t + 3120*t for d. 2 Solve -3*p + 5 = 5*o, -28733 = -8*o - 3*p - 28734 for o. -2 Solve 12136*t - 12137*t = -2*g + 7, -4*t = 4*g - 20 for g. 4 Solve -3 = -3*v - q, -v + 15 = -2*q + 7*q for v. 0 Solve 2*l + 19096 - 19112 = 3*c, 3*l = -4*c + 41 for c. 2 Solve -p - 4 = -5*m, -3*p + 22*m = 26*m - 7 for p. 1 Solve -5*n - 10 = l + 6*l, 71*l = 76*l + 5*n for l. -5 Solve 3*t = 541*h - 542*h - 56, 2*t + 24 = 2*h for t. -17 Solve -5*u + 24 - 7 = 2*o - 2, -4*o + 2*u = -2 for o. 2 Solve 39 = 5*t - 4*b + 36, 2 = 4*t - 3*b for t. -1 Solve 3*h = v - 49, -10768*h + 2*v + 46 = -10770*h for h. -18 Solve -7 = k + 2*v, 3*v + 28 = 20*k - 18*k for k. 5 Solve 31*v - 36*v + t = -34, 5*v + 3*t - 38 = 0 for v. 7 Solve 5*f = 2*w - 19, -7*f - 812 = w - 793 for w. 2 Solve -113*s + 117*s + 6 = 6*t, 5*t + 5*s = 5 for t. 1 Solve
{ "pile_set_name": "DM Mathematics" }
t y(o) = -o**2 - 2. Let d(r) = h(r) - 4*y(r). Give d(0). -39 Let i(b) = -6. Let n(o) = -o - 17. Let q(d) = -17*i(d) + 6*n(d). Let y = 1208 + -1206. What is q(y)? -12 Let a(j) = -26*j - 10. Let p(d) = -6*d - 2. Let y(i) = 3*a(i) - 14*p(i). Calculate y(-5). -32 Let x(k) be the second derivative of 5/6*k**3 + 1/60*k**5 + 0*k**2 - 6*k - 1/4*k**4 + 0. Let m(a) be the second derivative of x(a). Determine m(4). 2 Let w(j) = 2*j**3 + 5*j**2 + 3*j. Let r(u) = 3*u**2. Let t be r(-3). Suppose -4*f = -5*f + 3*d + 9, t = -5*f - 3*d. Calculate w(f). -18 Let r(h) = 6*h**3 - h**2 - h. Let g(s) = -32*s**3 + 2*s**2 + 2*s - 2. Let i(n) = g(n) + 5*r(n). Give i(-3). 34 Let s(i) = 3*i - 24. Let l(k) = 21*k + 147. Let o be l(-7). Calculate s(o). -24 Let c(t) be the first derivative of -t**2/2 + 9*t - 94. Suppose o - 2*g = -2*o, -3*o = -5*g. Give c(o). 9 Let i(y) = y**3 + 4*y**2 - 5*y + 7. Let o(p) = -2*p**3 - 3*p**2 + 5*p - 7. Let u(l) = l - 18. Let m be u(16). Let t(r) = m*o(r) - 3*i(r). What is t(5)? -7 Let x = -84 - -75. Let r be ((-2)/(-3))/(x/54). Let h(j) = -j**2 - 7*j - 5. Give h(r). 7 Let z(u) = u - 26. Let a be 17 + (2/2)/((-21)/84). Calculate z(a). -13 Let v(a) = 3 + 2 - 13 - 3*a + 1 + 8. Give v(-7). 22 Let h be (-8)/(-16)*(-5 - -9). Let b(d) = 4 + 2*d**3 - 1 - 2. Determine b(h). 17 Let n = -22 + 16. Let y(g) be the second derivative of -5*g**3/6 - 3*g**2 + 2*g - 2. Calculate y(n). 24 Let g(b) = -6*b**3 - 5*b**2 + b - 2. Let p(v) = -19*v**3 - 17*v**2 + 3*v - 7. Let l(x) = -7*g(x) + 2*p(x). Give l(1). 4 Let y(h) = -2*h**2 + 2*h - 3. Suppose v + 6 = 8. What is y(v)? -7 Let m(r) = -11*r + 11*r + 4*r + 2*r - r. Determine m(5). 25 Let g(k) be the second derivative of -k**5/20 + 5*k**4/6 - 4*k**3/3 - 9*k**2/2 - 2*k. Suppose -6*p + 58 = 4. Give g(p). 0 Let g(a) = -5*a + 8. Let s(i) = -2*i + 3. Let m(t) = -3*g(t) + 8*s(t). Let p = -3511 + 3509. Give m(p). 2 Let z(j) = -j**3 - 9*j**2 + 7*j + 9. Let c(r) = -r**3. Let n(s) = -2*c(s) + z(s). Let l be (-8)/12*(1 + 2). Let b = 10 + l. What is n(b)? 1 Suppose 2 = 2*k + 4*h, 3*k - h = k + 12. Let v(b) = 237*b - 481*b + 5 + 248*b - b**2. What is v(k)? 0 Let d(o) be the second derivative of -o**5/20 - o**4/3 - o**3/6 + 3*o**2/2 - 4*o. Suppose 15*r - 17*r - 6 = 0. What is d(r)? -3 Let h(m) = -m**3 - 6*m**2 - 3*m - 6. Suppose -4*l - 26 = 5*w, -4*w - 4*l - 6 = 14. Determine h(w). 12 Let x(k) = 3. Let d(a) = -1. Let y(c) = 7*d(c) + 2*x(c). Let b(m) = -6*m + 11. Let r(g) = -b(g) - 6*y(g). Give r(4). 19 Let s(u) = 4*u + 6. Let d = 276 + -279. Give s(d). -6 Suppose 3 + 29 = 16*n. Let h(q) = q**3 + q**2 + q - 1. Give h(n). 13 Let j be 22/(-5) + (-12)/(-30). Let p be j/6 - 23/(-3). Let n(l) = -l**3 + 6*l**2 + 9*l - 2. Calculate n(p). 12 Suppose 23 = 32*c - 41. Let k(n) = n**3 - 3*n**2 - 2. Give k(c). -6 Let h(d) = d - 1. Suppose 0*j + 9*j - 63 = 0. Determine h(j). 6 Let c(r) = r**3 + 12*r**2 - 11*r + 7. Let n = -1030 + 1017. Calculate c(n). -19 Let c(r) be the third derivative of -7/60*r**5 - 5/24*r**4 + 1/2*r**3 + 0 + 0*r + 30*r**2 - 1/120*r**6. Calculate c(-6). -3 Let w(f) = -47*f**3 + 97*f**3 + f**2 - 49*f**3 - 2 + 2*f**2. Determine w(-5). -52 Let j(o) be the second derivative of -o**5/2 - o**4/6 - o**3/6 + 8*o + 3. Suppose 4*m + 2 = -2. Determine j(m). 9 Let w(b) = 6*b - 9. Let o(m) = m - 1. Let s(r) = 14*o(r) - 2*w(r). Suppose 9 = 5*j - 6. Suppose 0 = 2*f + j*i - i + 6, 8 = 4*i. Calculate s(f). -6 Let t(m) = m - 1. Let r = -82 - -80. Let a(i) = -i**2 - 1. Let h(z) = r*t(z) + a(z). Give h(-3). -2 Let d(p) be the second derivative of p**4/12 - 3*p**3/2 - 2*p**2 + 4*p. Let m be ((-16)/12*6)/(1 + -2). What is d(m)? -12 Suppose 0 = 5*f + 23*f. Let c(q) = q**3 - q**2 + 2*q + 9. Determine c(f). 9 Let g = -2503 - -2508. Let n(y) be the third derivative of 0 - 1/8*y**4 + 0*y + y**2 - 1/60*y**g + 1/3*y**3. What is n(-4)? -2 Let f(h) = -h**2 + h**3 - 5 + 9*h**2 - 3*h**2. Let x be (68/5)/2*-5. Let i be (-6)/42 - x/(-7). What is f(i)? -5 Let p(v) = -14*v**3 + 2*v**2 + 1. Let c(y) = -27*y**3 + 4*y**2 + 3. Let r(l) = 2*c(l) - 5*p(l). Let s be (8 + 90/(-10))/1. Give r(s). -17 Let q be (1 + 1)*(5 - 3). Suppose 3*f - 6 = q*j, -6*f - 5*j = -3*f - 33. Let t(v) = -2 + f*v + 4*v - 12*v. Determine t(-2). 2 Let w(f) be the third derivative of -f**9/60480 + f**8/2880 - f**7/1680 - f**6/144 - 19*f**5/60 + 2*f**2. Let a(g) be the third derivative of w(g). Give a(6). 13 Suppose 0 = 2*n + 5*o - 6, 2*n + 3*n - 15 = -2*o. Let h(q) = -2*q - 3. Let g(r) = -6*r - 9. Let u(s) = 6*g(s) - 17*h(s). Give u(n). -9 Let b(n) be the first derivative of -2*n**3/3 + 2*n**2 - 16*n + 18. Let c(u) be the first derivative of b(u). Calculate c(3). -8 Let p(q) = q**2. Let c(j) = j**2 + 1. Let u(f) = -c(f) + 6*p(f). Suppose 2*r = m - 4, 5*m = 77*r - 73*r + 14. Determine u(r). 4 Let g be (-22)/8 + 11/(-44) - -2. Let o(r) = -3*r + 1. What is o(g)? 4 Let q(v) = -2*v**3 - 45*v**2 - 22*v + 4. Let a be q(-22). Let i(m) = m - 1. Give i(a). 3 Let d(v) = -v + 4. Let a be (-11 - -12)*(-1 - -9). Let r be d(a). Let u(q) = q**2 + 2*q - 4. Give u(r). 4 Let y = 9 - 13. Let r(k) be the second derivative of k**3/3 + k**2 + 92*k. Determine r(y). -6 Let o(h) be the second derivative of -2*h**2 + 1/12*h**4 + 0 + 10*h - 1/2*h**3. What is o(5)? 6 Suppose 2*i - 14 = 2*f - 6*f, 4*f + 3*i - 19 = 0. Let s(k) = -5 - f - 2*k - k + k. Let o(r) = -r - 18. Let d be o(-13). Calculate s(d). 4 Let d be ((-2)/(-6))/((-10)/(-150)). Suppose -d*x = -2*x - 2*x. Let m(z) = -z**2 + z - 12. Calculate m(x). -12 Let g = 3 - 10. Let r(s) be the second derivative of -s**4/12 - 3*s**3/2 - 7*s**2/2 + s + 1. Give r(g). 7 Suppose g - 4*g + 3 = 0, -g + 2 = s. Let j(h) be the third derivative of -5*h**4/24 + h**3/6 + 12*h**2. Give j(s). -4 Suppose 3*a - 219 + 216 = 0. Let v(t) be the second derivative of t**3 - t. Calculate v(a). 6 Let g(b) = -b**3 + 4*b**2 - 2*b. Let a(m) = -3*m - 1. Let f be a(-1). Suppose -f - 7 = -3*v. Suppose 0 = 2*x + j - 6 + 1, -v*j = -3*x + 21. What is g(x)? -8 Let c(x) = x + 11. Let s(d) = 2*d - 56. Let v be s(25). What is c(v)? 5 Let p be 33/11 + -1*1. Let f(k) = -k**3 + 7*k + 3 + 1 - 2*k + 1 - 4*k**p. Calculate f(-5). 5 Suppose -263*q + 260*q + 18 = 0. Let l(b) be the third derivative of -b**3 + q*b**2 + 0 - 1/24*b**4 + 0*b. Determine l(-5). -1 Let x(n) be the second derivative of -n**3 + 0 - n**2 - 1/20*n**5 + 29*n + 1/2*n**4. Determine x(5). -7 Let p(c) = c + 7. Let s = 7 - -12. Let g = 13 - s. Give p(g). 1 Let k(w) = -w**2 + 6*w + 6. Let v be k(6). Let t(d) = d**2 - d. Let r(o) = 5*o**2 + 6. Let q(u) = r(u) - 6*t(u). Determine q(v). 6 Let f(t) = -t + 4 - 2 + 0*t. Suppose -x - 3*x = -24. Suppose -8*w + 10 = -x*w. Give f(w). -3 Let g(a) = a + 22 - 2 + 0*a - 8 - 9. Let u = 5 + -5. Suppose -2*m - 9 + 1 = u. Determine g(m). -1 Let f(v) = v**2 - v - 3. Let w be (-14)/2*(-2)/(-1). Let i = w + 16. Suppose -5*u = l - 15 + i, -4*u - l + 10 = 0. Give f(u). 3 Let x(r) = 3*r - 19. Let w be x(6). Let z be 5/(-20)*(-7 + w). Let v(t) = t**2 + t + 2. What is v(z)? 8 Let r(y) = -2*y**2 - 8*y + 2. Let h(g) = -4*g + 171. Let j be h(44). Give r(j). -8 Let c(q) = -q + 1. Let i be (-64)/(-3)*(-63)/(-42). Suppose -2*a - i - 4 = 0. Let t = -17 - a. What is c(t)? 0 Let z(x) = 4*x**2 - 7*x**2 - 9 - 4*x**2 + 0*x**3 + x**3 + 8*x. Let d be 3*((-1)/1 + 4). Let o = d + -3. Give z(o). 3 Let g = 89 + -66. Suppose 5*c = -g - 7. Let d(y) be the first derivative of 3*y**2/2 + 8*y - 1. Calculate d(c). -10 Let f = 69 + -69. Let j(v) = f - 8 + v + 8. Determine j(2). 2 Suppose -2*f = -3*f + 4*c + 14, 2*c = -3*f + 14. Let o be 225/5*f/9. Suppose o - 10 = 5*i. Let y(b) = b**3 - 4*b**2 - 2*b - 2. Determine y(i). -10 Let h(x) = -x**2 + 5*x - 10. Suppose 0 = -2*g + 5*n + 14, 3*g - 2*n + 6*n = 21. Determine h(g). -24 Let w(d) = -4*d + 2. Let b(z) = -5*z + 2. Let u(j) = -3*b(j) + 4*w(j). Suppose -2*p + 37 = -133. Let i = 80 - p. Determine u(i). 7 Suppose -20 = -4*s, 5*n + 5*s - 3*s = 30. Let m(v) = 0*v - n*v - 5*v. What is m(-3)? 27 Let y(b) be the third derivative of b**6/120 + 7*b**5/60 - b**4/24 + b**3/6 - 9*b**2. Let m be y(-7). Let o(w) = w - 7. What is o(m)? 1 Suppose -4*x + 23 + 45 = 0. Suppose 0 = 13*y - 108 + x. Let p(m) = -m + 6. What is p(y)? -1 Let u be (-1)/(-3) - (-32)/12. Let h(i) = 13*i + u + 9*i + 14*i - 34*i. Determine h(-3
{ "pile_set_name": "DM Mathematics" }
What is the derivative of 606*j**2 + 22*j**4 + 601*j**2 + 595*j**2 - 1812*j**2 - 988 wrt j? 88*j**3 - 20*j Suppose 11 = 5*l - 14. Suppose -6*i = -3*u - 7*i + 4, 2 = l*u + 4*i. Differentiate -2*v**2 - 3*v**u - 256 + 209 + v with respect to v. -10*v + 1 Suppose 5*c - 85 = 35. Differentiate -20 + 0*h**4 + 4*h**4 - c*h**3 + 22*h**3 with respect to h. 16*h**3 - 6*h**2 Find the second derivative of 44*d**5 - 9*d**5 - 27*d**5 + 2*d**4 + 18 + 3*d - 13*d**5 + 0*d**4 wrt d. -100*d**3 + 24*d**2 Let c = -175 - -176. Find the third derivative of -c - 58*o**3 + 17*o**2 + 16*o**3 + 17*o**3 wrt o. -150 Let g = 2019 + -2019. Let h(m) be the second derivative of 0 + 17*m - 19/20*m**5 - 7*m**2 + 0*m**3 + g*m**4. Differentiate h(t) with respect to t. -57*t**2 Let i(j) = 18*j**2 + 32*j. Let b(c) = c**2 + c + 1. Suppose -4*w - 9*w = -13. Let p(r) = w*i(r) + 2*b(r). What is the second derivative of p(z) wrt z? 40 Find the first derivative of -452 + 823*h**3 - 713 + 15*h + 296*h**3 - 287 - 16*h wrt h. 3357*h**2 - 1 Let l be (((-1152)/(-27))/(-16))/(-2). Let z(c) be the first derivative of 0*c**2 + l*c**3 + 12 + 4*c. Find the first derivative of z(h) wrt h. 8*h Let z(f) = -55*f - 17. Let m(x) = -x. Let d(c) = 36*c + 36. Let i(r) = d(r) - 72*m(r). Let b(w) = -5*i(w) - 9*z(w). Differentiate b(t) with respect to t. -45 Let w(k) = -2*k + 45. Let j be w(20). What is the second derivative of -42*y + y**3 + 43*y**4 + j*y + 15*y wrt y? 516*y**2 + 6*y Let j be 3 + -8 + (-18)/(-3). Let m(k) = 4*k**2 - 4*k + 4. Let o be m(j). What is the third derivative of 39*d**5 - 43*d**2 - 53*d**4 + 53*d**o wrt d? 2340*d**2 Find the third derivative of -80 - 5663*d**4 + 4*d**2 - 418*d - 423*d + 1257*d - 418*d wrt d. -135912*d Let f(t) = 5355*t**3 + 13*t**2 - 245*t + 4. Let q(h) = h**3 - 5*h**2 - h - 1. Let r(u) = f(u) + 4*q(u). What is the third derivative of r(c) wrt c? 32154 What is the first derivative of -129*d**3 - 232*d - 332*d**3 + 152*d**3 + 234*d - 282*d**3 - 7822 wrt d? -1773*d**2 + 2 Let r = -87 + 128. Let z = -36 + r. Differentiate 4*p - 2*p + 4 - z*p + 9*p with respect to p. 6 Let b = -13 - -15. Let l(q) = 2*q. Let p(z) = 24*z - 10. Let o(k) = b*p(k) - 22*l(k). Differentiate o(y) with respect to y. 4 Let d = -111 + 175. What is the derivative of 12 + 32 + d*v**4 + 48 wrt v? 256*v**3 Let t = 46 + 313. What is the second derivative of 383*d**4 + 3*d + d**2 - 2 - 3*d**2 - t*d**4 wrt d? 288*d**2 - 4 Let w(y) be the first derivative of -1/4*y**4 - 10*y**2 - 4/5*y**5 + 10 + 0*y**3 - 2*y. Find the second derivative of w(x) wrt x. -48*x**2 - 6*x Let z(h) = -1095*h**3 + 6*h**2 + 6*h + 4041. Let r(b) = -1097*b**3 + 7*b**2 + 7*b + 4043. Let i(v) = -6*r(v) + 7*z(v). Differentiate i(o) wrt o. -3249*o**2 What is the second derivative of 896*a**2 + 1224*a - 896*a + 170*a**2 - 143*a**2 wrt a? 1846 Suppose -278 - 1126 = -26*r. What is the second derivative of -4 + v**2 + 6*v**4 + r*v**4 + 6*v + 8 wrt v? 720*v**2 + 2 Find the second derivative of -1009398*t**5 + 5*t**2 + 14 + 2*t**3 + 1009441*t**5 + 0*t**3 - 30*t wrt t. 860*t**3 + 12*t + 10 Let c(w) be the third derivative of -116*w**5/15 + w**4/24 + 559*w**3/6 - 4*w**2 + 44*w. Differentiate c(f) wrt f. -928*f + 1 Let k = 26 + -23. Suppose 0 = 8*y + k*y - 44. What is the second derivative of 24*h - 9*h**4 + 5*h**4 - 7*h**4 - 25*h**y wrt h? -432*h**2 Suppose -1303 = -22*t + 1381. What is the second derivative of -12*k**3 + 415*k - 3*k**2 - 214*k - t*k wrt k? -72*k - 6 Find the third derivative of 234*h**6 + 876 - 487 - 4*h**2 - 472 wrt h. 28080*h**3 Let p(g) be the third derivative of -g**9/252 + 493*g**7/210 - 199*g**5/10 - 100*g**2 - 1. What is the third derivative of p(d) wrt d? -240*d**3 + 11832*d Find the second derivative of -1797*n**5 + 46*n**4 + 1 + 36*n**4 + 42*n**4 - 124*n**4 - 1679*n wrt n. -35940*n**3 Differentiate -1474*q**3 + 11*q**2 + 452 - 10*q**2 + 873 wrt q. -4422*q**2 + 2*q Let b(m) be the second derivative of m**7/21 + 44*m**5 + 578*m**3/3 + m**2/2 + 33*m + 42. Find the second derivative of b(i) wrt i. 40*i**3 + 5280*i Let t be ((-18)/(-4) - 3)/(8/24*3). Let h(a) be the first derivative of 0*a**3 - 20 + 0*a**2 + 20*a + t*a**4. What is the derivative of h(f) wrt f? 18*f**2 Let m be ((-259)/14 + 2)*-2. Find the third derivative of 74*f**5 - 3*f**3 - m*f**2 + 2*f**3 - 79*f**2 + 6*f**5 wrt f. 4800*f**2 - 6 Let t(d) be the second derivative of d**6/15 - d**5 + 579*d**2/2 - 1327*d. What is the derivative of t(o) wrt o? 8*o**3 - 60*o**2 Differentiate 1206 - 284*l + 195*l**2 + 284*l + 595 wrt l. 390*l Let z(b) be the first derivative of 3*b - 16/3*b**3 + 0*b**2 + 1/4*b**4 + 122. Differentiate z(v) with respect to v. 3*v**2 - 32*v Suppose 4*u + 4*g - 260 = -0*g, -2*g - 346 = -5*u. Suppose -13*r = -u - 36. What is the second derivative of r*i**5 - 6*i + 18*i + 0*i**5 wrt i? 160*i**3 Suppose -4*x = -78 - 142. Find the first derivative of c**2 - x - 84*c + 3 + 109*c wrt c. 2*c + 25 Suppose -5*p + 2*p = g + 11, -3*g + 37 = -5*p. Suppose g*r + 45 = 121. Find the first derivative of 34*n**2 - 34*n**2 + 5*n**4 + r + 7*n**4 wrt n. 48*n**3 Let a(q) be the first derivative of 124*q**7/7 - 5*q**4/4 + 311*q**3 - 1374. Find the third derivative of a(g) wrt g. 14880*g**3 - 30 Let p = 119 + -117. What is the third derivative of -2*d**4 - 8*d**2 + 80*d**2 + 21*d**2 + 4*d**5 - 3*d**4 + 144*d**p wrt d? 240*d**2 - 120*d Suppose -376 + 158 = -2*d. Differentiate d*u + 53 + 28 - 14 wrt u. 109 Find the second derivative of -1370*w - 198*w**3 - 43*w**3 + 23*w**3 wrt w. -1308*w Let v(d) be the third derivative of -17*d**7/105 + d**6/40 - 89*d**4/6 + 2*d**2 - 196*d. Find the second derivative of v(q) wrt q. -408*q**2 + 18*q Suppose -i = -4*m - 599, -4*i + 5*m - 3*m + 2340 = 0. Find the first derivative of -583*o + i*o - 17*o**2 - 61 wrt o. -34*o What is the third derivative of 103*i**2 - 496*i**3 - 864*i**2 + 374*i**3 + 663*i**3 + 1659*i**3 wrt i? 13200 Let q = -295 + 297. What is the third derivative of -606*n + 11*n**6 - 78*n**6 + 38*n**q + 608*n wrt n? -8040*n**3 Let g(z) be the first derivative of -7/3*z**3 - z**2 - 27*z + 1/5*z**5 + 0*z**4 + 5. Find the second derivative of g(w) wrt w. 12*w**2 - 14 What is the third derivative of -398*u**2 - 2*u**4 + 5*u**4 + 10255*u**3 - 5054*u**3 - 5044*u**3 wrt u? 72*u + 942 Let a = -24 + 20. Let k be (7/a + 1)*-2*40. Find the third derivative of 81*c**3 - 6*c**2 - 166*c**3 + k*c**3 wrt c. -150 Differentiate -198 + 2757*u**2 + 4*u - 2*u + 2459 + 1377 + 4220 wrt u. 5514*u + 2 Find the third derivative of 0*v**2 + 6837*v - 304*v**6 - v**2 - 6711*v wrt v. -36480*v**3 Let x(l) be the first derivative of 58*l**5/5 - l**4/2 - 12*l**3 - 468*l**2 + 1054. Find the second derivative of x(v) wrt v. 696*v**2 - 12*v - 72 Let p(l) be the third derivative of 739*l**6/120 - l**4/24 + 233*l**3/6 + 1258*l**2. Find the second derivative of p(o) wrt o. 4434*o What is the third derivative of 22 + 15 + 17 + 28*l**5 - 10*l**2 + 13 - 1191*l**5 wrt l? -69780*l**2 Let u(p) be the first derivative of -19*p**4/4 + 125*p**3/6 + 95*p + 1. Let a(h) be the first derivative of u(h). Find the second derivative of a(w) wrt w. -114 Let z(v) be the first derivative of -5359*v**2/2 - 6150*v + 5305. Differentiate z(n) with respect to n. -5359 Find the second derivative of 22*v + 11775*v**2 - 10512*v**2 + 16 - 6 wrt v. 2526 Let b(x) = 895*x + 2127. Let t(a) = -4484*a - 10634. Let c(y) = -14*b(y) - 3*t(y). What is the derivative of c(n) wrt n? 922 Let s(w) = -3152*w**4 + w**3 - 4*w**2 + w + 49. Let t(c) = -c**4 - c**3 - c + 10. Let j(x) = s(x) + t(x). Find the third derivative of j(k) wrt k. -75672*k Let s(n) = 199*n**3 - n**2 - 547*n + 2. Let p(t) = 4*t**3 - t**2 + t + 2. Let w(a) = p(a) - s(a). What is the second derivative of w(d) wrt d? -1170*d Let z = -203 - -236. What is the third derivative of -1 - 1 - 10*t**5 - 7754*t**4 - z*t**2 + 7754*t**4 wrt t? -600*t**2 Let c(z) be the second derivative of -1331*z**7/42 - 155*z**3/6 - 75*z + 8. What is the second derivative of c(h) wrt h? -26620*h**3 Let p(y) be the first derivative of -136*y**5 + 1822*y**3/3 - 2304. Find the third derivative of p(v) wrt v. -16320*v Let b = 33 - 29. Suppose 2*f = b*y + 12, -2*f = -f + 2*y - 2. What is the second derivative of 4*o**4 + 5*o**f - 10*o + 3*o - 2*o**4 wrt o? 84*o**
{ "pile_set_name": "DM Mathematics" }
base 7 -10662303 What is -192547 (base 13) in base 2? -10011010101100101000 What is -76573 (base 9) in base 3? -2120122110 -1313023211 (base 4) to base 8 -1671345 Convert 1067758 (base 11) to base 10. 1869634 10010000011110000101 (base 2) to base 10 591749 -245305320 (base 7) to base 12 -5219310 Convert 164177 (base 9) to base 6. 2101454 Convert 66a54 (base 16) to base 6. 13002244 113321202 (base 4) to base 2 10111111001100010 Convert 1127a0 (base 11) to base 12. 87927 Convert 52488 (base 10) to base 9. 80000 -1215240204 (base 6) to base 15 -135e821 Convert -21115547 (base 8) to base 3. -22110102200002 -588302 (base 9) to base 14 -92d22 Convert -777446 (base 8) to base 10. -261926 Convert 204ef (base 16) to base 11. 90475 What is -3020504 (base 7) in base 8? -1273156 What is -10010100110110101000 (base 2) in base 8? -2246650 Convert 799845 (base 14) to base 12. 1476005 Convert -5aa48 (base 16) to base 13. -cccb5 42441001 (base 5) to base 15 71501 What is -3132121223 (base 4) in base 16? -de66b Convert 82bb6 (base 12) to base 3. 22200122210 What is 1d1b903 (base 14) in base 9? 30408835 Convert -1005444 (base 7) to base 8. -351450 -1101020220101 (base 3) to base 6 -23414531 What is -51c6b1 (base 13) in base 8? -7227344 -23441544 (base 6) to base 14 -1525cc Convert -14823 (base 13) to base 14. -10186 -99a18 (base 12) to base 8 -615564 Convert -1b2fb9 (base 16) to base 11. -1007678 What is 1100010011111100000 (base 2) in base 7? 3300110 What is 2212022110111 (base 3) in base 2? 101110011100001100000 Convert 1061 (base 14) to base 4. 230031 Convert -11212100021222 (base 3) to base 9. -4770258 What is f94fb (base 16) in base 3? 1220212210110 What is 4a302 (base 14) in base 13? 64916 23ed9c (base 15) to base 10 1720947 What is -44eae (base 15) in base 12? -a6b02 What is 87593d (base 14) in base 13? c47b36 Convert 1765ba (base 12) to base 4. 1202323132 What is 1011111000010000001101 (base 2) in base 9? 5765536 What is -399578 (base 10) in base 8? -1414332 1f462 (base 16) to base 5 13044343 What is -17785b (base 12) in base 8? -1433407 Convert 1072 (base 13) to base 7. 6451 Convert 10b63c (base 15) to base 2. 11000010110011010011 What is 192a27 (base 12) in base 4? 1223200333 -101122300012 (base 4) to base 14 -86c006 Convert -b219 (base 16) to base 8. -131031 What is -2b7934 (base 16) in base 2? -1010110111100100110100 Convert -360124 (base 7) to base 11. -44835 What is 4ca94 (base 15) in base 7? 2041264 70743 (base 9) to base 4 23113011 Convert -12021111021122 (base 3) to base 15. -3a602e What is 1012211010102102 (base 3) in base 15? 17e7d58 Convert -199465 (base 10) to base 16. -30b29 -4245050 (base 8) to base 4 -10110220220 What is -44040 (base 11) in base 3? -10020200212 What is -3909614 (base 10) in base 12? -1386612 -5343431 (base 6) to base 9 -440201 Convert 12123020 (base 5) to base 4. 123313113 Convert 143215243 (base 6) to base 5. 1224113410 -1123021311 (base 5) to base 16 -26e26b -63e9ab (base 15) to base 6 -245545425 Convert -da734 (base 15) to base 16. -a94fb 1632826 (base 11) to base 5 1203113243 Convert -144d4 (base 15) to base 5. -4041344 What is -12c3bc (base 14) in base 6? -21521322 What is d282f (base 16) in base 11? 539909 What is -410151 (base 7) in base 16? -11052 What is 52350351 (base 6) in base 4? 11303303323 -15b3950 (base 12) to base 13 -c042a8 What is 50133 (base 11) in base 13? 27513 199b1 (base 14) to base 11 4494a Convert 100011000011001110111100 (base 2) to base 4. 203003032330 Convert 15419 (base 14) to base 16. cecf -b951 (base 13) to base 7 -135041 4aa21 (base 16) to base 5 34240242 What is 143433530 (base 6) in base 9? 5534140 What is 40b79 (base 13) in base 11? 7a33a Convert -6673000 (base 8) to base 12. -729594 ab7ccb (base 13) to base 9 7544223 What is 139dc2c (base 14) in base 9? 18830301 What is -28464 (base 11) in base 14? -10a7a -20213021322 (base 4) to base 15 -2e8d70 What is 11131234 (base 7) in base 11? 5aa580 What is -1222222200222 (base 3) in base 11? -66643a Convert 11414135 (base 7) to base 8. 3671054 Convert 1938 (base 15) to base 4. 1111031 -1131222333 (base 4) to base 8 -1355277 -a4a4c7 (base 13) to base 5 -1441144413 What is -38a10 (base 11) in base 16? -d9f0 4a9c05 (base 13) to base 11 1014886 What is 4a1acd (base 14) in base 6? 130240501 Convert -3251350 (base 6) to base 16. -27a32 Convert 5e6dd5 (base 15) to base 14. 85c720 390fb9 (base 16) to base 9 7028655 -1c60606 (base 14) to base 4 -312032132332 Convert -20477 (base 14) to base 8. -227631 -111101111101001110010010 (base 2) to base 7 -255023320 What is 1110110210 (base 3) in base 5? 1410101 -332212132 (base 4) to base 12 -10447a What is 5726436 (base 8) in base 4? 11322310132 Convert cce19 (base 15) to base 11. 405267 What is 1037562 (base 8) in base 16? 43f72 -5561406 (base 9) to base 5 -1231233000 What is -21455 (base 11) in base 14? -b4d7 What is 8a4743 (base 13) in base 2? 1100011101010110111100 Convert 21a1957 (base 13) to base 5. 10120024221 What is 3597c (base 13) in base 9? 158743 1a22d (base 14) to base 10 66289 -3555ba (base 13) to base 7 -13532511 -54031 (base 10) to base 13 -1b793 What is 133840 (base 10) in base 14? 36ac0 8243b (base 14) to base 7 2444304 What is -59d9a (base 15) in base 5? -33132240 -5a98b8 (base 14) to base 15 -413671 What is -11101010001100101101100 (base 2) in base 13? -1789078 -91884aa (base 11) to base 4 -331323100020 Convert 21500 (base 8) to base 15. 2a19 What is -6b3d8 (base 15) in base 9? -570715 30382 (base 14) to base 12 57126 What is 43023226 (base 7) in base 9? 6777054 What is 1001110011011011001 (base 2) in base 14? 850db 200803 (base 10) to base 2 110001000001100011 11000010001000011100 (base 2) to base 12 3241b8 Convert -b13a82 (base 13) to base 15. -56614b What is -2561399 (base 11) in base 13? -bc5067 What is -2523107 (base 8) in base 7? -5634526 10001101100010011000101 (base 2) to base 6 243223421 Convert 425616 (base 7) to base 13. 27924 4770170 (base 11) to base 16 7ee57e -21003234 (base 5) to base 15 -360ce -230201102 (base 4) to base 2 -101100100001010010 15114300 (base 6) to base 11 328151 131423124 (base 5) to base 11 407a53 1300340 (base 5) to base 11 17944 What is 14421122 (base 6) in base 5? 112004042 -15634772 (base 9) to base 3 -112201011212102 Convert 33212230 (base 4) to base 5. 4021131 -133523 (base 6) to base 14 -47b5 What is -1020036 (base 7) in base 3? -20020000020 What is 1095a18 (base 11) in base 12? 78203a Convert -22122120112 (base 3) to base 4. -221210210 -589674 (base 10) to base 5 -122332144 What is -110110110111010010 (base 2) in base 6? -4452214 Convert 1703568 (base 14) to base 5. 10343203413 Convert 91a81 (base 14) to base 2. 1010101100101100001 -55b334 (base 14) to base 10 -2912018 2128689 (base 10) to base 4 20013230301 What is 1483637 (base 10) in base 16? 16a375 What is -110220011211 (base 4) in base 2? -10100101000000101100101 -b6cb55 (base 15) to base 4 -201030000122 Convert 14302341 (base 7) to base 9. 2470513 What is 110011012031 (base 4) in base 2? 10100000101000110001101 -1014c9 (base 13) to base 14 -9a5bd What is 8ced2 (base 15) in base 7? 3546410 What is 511030202 (base 6) in base 8? 41230072 -1cc78e (base 15) to base 3 -2122120220022 233c97c (base 13) to base 4 221200202100 -1001110010000000100 (base 2) to base 7 -2503310 What is 33519 (base 15) in base 10? 163149 -21403 (base 5) to base 3 -2000202 -5277e (base 15) to base 8 -776701 -3031231 (base 5) to base 9 -74118 22210120000 (base 3) to base 11 109125 Convert -187470 (base 9) to base 2. -11100100100100011 -434401 (base 7) to base 9 -125224 What is -102100120201010 (base 3) in base 7? -102202101 Convert 101001101111111100000 (base 2) to base 7. 14425301 What is -116549 (base 10) in base 7? -663536 What is -30311113 (base 4) in base 9? -80087 What is -545245510 (base 6) in base 16? -952032 What is 382412 (base 14) in base 9? 3556418 Convert -3312211400 (base 5) to base 10. -7147725 What is 776573 (base 13) in base 15? 3a879e 39045a (base 13) to base 5 322343204 What is 831233 (base 9) in base 11? 307439 Convert -135788 (base 11) to base 3. -101210121001 -10010111111100011110100 (base 2) to base 8 -22774364 What is 1263514 (base 10) in base 12? 50b24a 203d7 (base 14) to base 7 442160 What is -4103
{ "pile_set_name": "DM Mathematics" }
)/v*v))*v) assuming v is positive. v**(-14) Simplify (u**(2/5)/u)**(-20/11) assuming u is positive. u**(12/11) Simplify q**4*q/((q**(-3)/q*q)/q)*q assuming q is positive. q**10 Simplify (m*m*m/m**(-9/4)*m)/(m*m/(m/(m/(m/(m*m**(-8/11)))))) assuming m is positive. m**(219/44) Simplify d**(3/8)/d**(3/2) assuming d is positive. d**(-9/8) Simplify (h**(-2/11))**0 assuming h is positive. 1 Simplify (o**(1/3)/o)/o**(-4)*(o**(-1/4))**(2/5) assuming o is positive. o**(97/30) Simplify q**10*((((q**7/q)/q)/q*q)/q)/q assuming q is positive. q**13 Simplify ((y*y**2)/y**(-1))**(1/19) assuming y is positive. y**(4/19) Simplify (u**(2/7)/(u/(u*u*u**(-3/5))*u))/(u**(1/2))**(6/5) assuming u is positive. u**(-32/35) Simplify (j/j**(-1/2))**0*(j*j/j**(-2/3))/(j/((j*j*j/(j**(-2)*j))/j)) assuming j is positive. j**(14/3) Simplify ((l**(2/5)/l*l)/l)**(-5/11)*l**0/(l*l**(-1/3)) assuming l is positive. l**(-13/33) Simplify b**30*b**(-24) assuming b is positive. b**6 Simplify m**7*m*m**35*m*m assuming m is positive. m**45 Simplify (q**(1/9)/q)**(4/37) assuming q is positive. q**(-32/333) Simplify (h**42/h*h)**(-3/25) assuming h is positive. h**(-126/25) Simplify ((f/(f*((((f*f**(-13)*f)/f*f)/f)/f)/f))/(f**(-1/2)*f))**23 assuming f is positive. f**(621/2) Simplify (h**16*h)/(h**(-3/7)*h) assuming h is positive. h**(115/7) Simplify ((p**(1/21)*p)/p)**(-35) assuming p is positive. p**(-5/3) Simplify w**(-12)/(w/(w*w**(5/2))) assuming w is positive. w**(-19/2) Simplify (i**1)**(5/9)*(i*i**(1/4)*i*i)**(3/8) assuming i is positive. i**(511/288) Simplify w/w**(-3/2)*(w*w**17/w)/w assuming w is positive. w**(37/2) Simplify (c**(2/9)*c*c*c/(c**3*c))/(c*((c**(-1/4)/c)/c)/c*c*c*c)**(1/14) assuming c is positive. c**(-419/504) Simplify c**(-28)*c**20 assuming c is positive. c**(-8) Simplify ((n**(2/5))**(18/11))**(5/8) assuming n is positive. n**(9/22) Simplify o**5*o/(o*o**(-8)/o)*o*(o*o**(-2/21)*o)/((o*o**(-1))/o) assuming o is positive. o**(376/21) Simplify (j**(-1/4)*j)**(7/3) assuming j is positive. j**(7/4) Simplify (f*(f**(1/9)*f)/f*f)/f**5*(f/(f/(((f*f**(-1))/f)/f)))/(f/((f*f/(f/(f**3/f*f)))/f)) assuming f is positive. f**(-26/9) Simplify (u/u**(2/3)*u)**(-7) assuming u is positive. u**(-28/3) Simplify (t/t**(1/6)*(t**(3/2)/t)/t*t)**15 assuming t is positive. t**20 Simplify p**(-11)/p*p*p/p**(-3/4) assuming p is positive. p**(-37/4) Simplify m**(-3/7)*m*m**9/m*m*m assuming m is positive. m**(74/7) Simplify (c*(c/(c*c**18))/c*c)**(-47) assuming c is positive. c**799 Simplify (k**(2/5))**1 assuming k is positive. k**(2/5) Simplify (v/(v**(1/6)*v))**(1/15) assuming v is positive. v**(-1/90) Simplify (((d/d**(-4/7)*d*d)/d)/(d/(d**(-1/14)/d)))**(13/4) assuming d is positive. d**(13/8) Simplify ((i**15/i)/(i**(-11)/i))**(16/7) assuming i is positive. i**(416/7) Simplify (g/(g/g**(-2/3)))**(-2/7)/(g**(-2/13)*(g*g/(g**4*g))/g) assuming g is positive. g**(1186/273) Simplify d**(4/3)/((d*d/d**(-2/15))/d) assuming d is positive. d**(1/5) Simplify ((q**(-3))**(1/9))**(7/10) assuming q is positive. q**(-7/30) Simplify (p/(p**6/p))/p**(-3/4)*p*p**(1/14)*p/p**(-2/5) assuming p is positive. p**(-109/140) Simplify t**(-9/2)*t*(t*t**(-18))/t*t assuming t is positive. t**(-41/2) Simplify (u/(u**(-32)*u))/u**(2/181) assuming u is positive. u**(5790/181) Simplify (w*w**(-1/2)/w*w*w*w/w**(-8/5))**(-3/4) assuming w is positive. w**(-123/40) Simplify ((u/(u/(u*u/(u**(-1)/u))))/u*u*u)**(-6) assuming u is positive. u**(-30) Simplify (i**(4/9)/i*i**(1/4))/(i**(-4)/i**6) assuming i is positive. i**(349/36) Simplify (c*c**(-3/4))/(c*c**(-12)) assuming c is positive. c**(45/4) Simplify (q**(-9))**(2/31) assuming q is positive. q**(-18/31) Simplify (p**(-2/7))**9*(((((p**(-2/5)/p)/p)/p)/p)/p)**(-1/7) assuming p is positive. p**(-9/5) Simplify (t*t**(1/2))**(-1/2)/(t**(-3)/t*t*t/t**5) assuming t is positive. t**(25/4) Simplify (j/(j/j**(1/6)*j))/j**(3/7)*(j/j**(2/3))**(1/4) assuming j is positive. j**(-33/28) Simplify (a/a**2*a)**(3/16)/((a**1*a)/(a*a**(-4))) assuming a is positive. a**(-5) Simplify (((f/(f/(f/f**(2/3))*f)*f*f)/f)**46)**(6/7) assuming f is positive. f**(92/7) Simplify k**(-2)/k**(1/7)*(k**(5/4)*k)/(k*k/((k**(-3/2)/k)/k)) assuming k is positive. k**(-151/28) Simplify (o*(o**7*o*o)/o)**12 assuming o is positive. o**108 Simplify (p**(2/3))**(-26)/(p/(p/p**1))**(1/27) assuming p is positive. p**(-469/27) Simplify t**(10/9)*t**(-8) assuming t is positive. t**(-62/9) Simplify c**(-7)/(c/(c*c/c**(1/6))) assuming c is positive. c**(-37/6) Simplify k**(-2/11)*k**(-35) assuming k is positive. k**(-387/11) Simplify (l**20/l)**(26/5) assuming l is positive. l**(494/5) Simplify (o/(o*o/(o*o/(o*o**(-4)))*o*o*o)*o)/o**1 assuming o is positive. o Simplify ((r**1*r)/r)**(1/27) assuming r is positive. r**(1/27) Simplify (l**1*l/l**(-2))/((l/(l/l**(-6)))/(l**4/l)) assuming l is positive. l**13 Simplify (o**5*o)**6 assuming o is positive. o**36 Simplify (f*f**(1/3))**(-4/17) assuming f is positive. f**(-16/51) Simplify ((b/(b*b*((b/b**(-1))/b*b*b)/b))/b)**14 assuming b is positive. b**(-56) Simplify (j**(-1))**35/((j/j**(1/6))/j**(-1/7)) assuming j is positive. j**(-1511/42) Simplify n**(-2/3)*n**(-1/16) assuming n is positive. n**(-35/48) Simplify (i*i**(1/18)*i)/(i**(1/4)/i) assuming i is positive. i**(101/36) Simplify (s/s**(-1))**6/((s*s/(s**(-1/3)*s))/(s**(-2/5)/s)) assuming s is positive. s**(139/15) Simplify i**5*(((i*i**(-2/3))/i)/i)/i*i*(i*i*i**(-3)/i)/i**(-2/7) assuming i is positive. i**(34/21) Simplify (t*t*((t*t/((t/(t/t**(3/2)))/t)*t)/t)/t*t*t**(3/4))**(-3/4) assuming t is positive. t**(-51/16) Simplify b**(-7/3)/b*b**0*(b/b**(-1/3))/(b**(-4/11)/b) assuming b is positive. b**(-7/11) Simplify (t/(t*(t*t**(-17))/t))**(-41) assuming t is positive. t**(-697) Simplify g/g**(-7/9)*g/(g/g**13) assuming g is positive. g**(133/9) Simplify (g/(g/g**(2/17)))/g**(3/4)*g**(-1/8)/g**(-6) assuming g is positive. g**(713/136) Simplify (h**(-3)/(h*h/h**(3/7)*h))**(-17) assuming h is positive. h**(663/7) Simplify (k/((k**(8/3)*k)/k*k))**(-3/11) assuming k is positive. k**(8/11) Simplify (v**(2/9))**(16/3)*v*v**6*v*v**(-1/15)*v assuming v is positive. v**(1366/135) Simplify ((m*m**(-7))/m*m**(-7))/(m**7/(m*m**(5/3))) assuming m is positive. m**(-55/3) Simplify (z*z**(-3/10))**(2/35) assuming z is positive. z**(1/25) Simplify (f**10)**(-1/18) assuming f is positive. f**(-5/9) Simplify s**(-14)/(s/s**(7/3)*s) assuming s is positive. s**(-41/3) Simplify k**(-13/3)/(((k*k**(6/23))/k)/k) assuming k is positive. k**(-248/69) Simplify ((z**0)**(-14))**(-4) assuming z is positive. 1 Simplify (a/((a*a/a**(2/5))/a))**(8/3)/(a**0*a*a*(((a/(a**(-6)/a))/a)/a)/a) assuming a is positive. a**(-89/15) Simplify (k**2/k**6)**(-39) assuming k is positive. k**156 Simplify (w**(1/2))**36/(w*w**(2/15)*w**(-1/10)) assuming w is positive. w**(509/30) Simplify (s*s*s*s**4*s*(s/(s/(s*s*s/s**6*s*s)*s))/s)/(s**0)**(-13/4) assuming s is positive. s**5 Simplify (k**(-2/3))**(-1/3)*(k*k**(-9))/k**0 assuming k is positive. k**(-70/9) Simplify ((r**(-2/5))**(3/23))**32 assuming r is positive. r**(-192/115) Simplify ((n**(-1/3)*n)**(-2/65))**(-11/2) assuming n is positive. n**(22/195) Simplify ((k/(k**20*k)*k)/k)/k*k**(-21)/k assuming k is positive. k**(-43) Simplify (a**(-16)/a*a)/(a*a**(-1/2)*a) assuming a is positive. a**(-35/2) Simplify l**(-1/8)/l**(-9) assuming l is positive. l**(71/8) Simplify (((m*m**0*m)/m)/(m**(2/5)*m))/((m**(-4/5)/m)/m*m*m**(-3/4)) assuming m is positive. m**(43/20) Simplify (h**(-6)/h**(-1/7))/(h**5*h**(-2/23)/h) assuming h is positive. h**(-1573/161) Simplify (h/(h*h**(-4/29)))/h*h**36 assuming h is positive. h**(1019/29) Simplify ((n**2)**(-1/7))**(-6/7) assuming n is positive. n**(12/49) Simplify (b/b**(3/2)*(b/(b/(b/b**(2/9)*b)*b))/b*b*b)/((b*(b**(-1)*b*b)/b*b)/b**(-1/5)) assuming b is positive. b**(-83/90) Simplify (i*i**(4/9)*i/(i**(-13)/i))**(-2/157) assuming i is positive. i**(-296/1413) Simplify ((y/(y/((y/y**(2/27)*y)/y))*y)/y)**7 assuming y is positive. y**(175/27) Simplify h/(h/(h*h*h*(h**(2/35)*h*h*h)/h*h*h))*h**(14/9)*h assuming h is positive. h**(3028/315) Simplify ((c/(c/(c**(-7)*c)*c*c))/(c*c**(-1/4)*c))**(-3/25) assuming c is positive. c**(117/100) Simplify (r*r*r**(2/9))/(r**15*r) assuming r is
{ "pile_set_name": "DM Mathematics" }
rder. 3/4, -0.05, c, -0.3 Suppose 10 = 5*p + 70. Let m be (2 - 0) + 21/p. Put 0.1, -1/3, m, 5 in decreasing order. 5, m, 0.1, -1/3 Let o = -0.59 + -0.11. Suppose -2*l = 1 - 7. Let u be ((-245)/60)/(-7) - 1/l. Put -0.5, u, o in increasing order. o, -0.5, u Suppose 2*v - 51 = 67. Let w = v - 63. Put w, 7, 0 in increasing order. w, 0, 7 Let s = -11 + 12.4. Let d = s - 1.7. Let p = 17 + -12. Sort d, p, 0 in descending order. p, 0, d Let j = -6.8 - -7. Let p be ((-118)/1947)/(1/((-3)/2)). Put j, p, -2 in descending order. j, p, -2 Let r be ((-87)/65)/(-3) - (-3)/(-5). Let m = 8280427/11930317 - 1/490287. Let h = -2/73 + m. Put h, -2, r in descending order. h, r, -2 Let f = 17.2 + -17. Let t = -69 + 68.7. Put f, -0.2, -0.5, t in descending order. f, -0.2, t, -0.5 Let u = 33.944 + -34. Let v = -2.944 + u. Sort 2/9, v, 0.09 in decreasing order. 2/9, 0.09, v Let y be (8/(-6)*1)/(8/12). Let s = -5 + 4.7. Sort -3, s, y. -3, y, s Let p = -56.8 + -1.2. Put 0.4, 3, -3, p in decreasing order. 3, 0.4, -3, p Let y(z) = z**3 - 2*z**2 - 6*z - 6. Let l be y(4). Let c be 4*(-2 + 5/4). Sort c, l, -1, 3 in descending order. 3, l, -1, c Let t = 40 - 34. Let g = -6 + 1. Put g, t, 1 in increasing order. g, 1, t Let r = -77.9 - -78.9. Sort 0.06, 1/5, 9/4, r. 0.06, 1/5, r, 9/4 Let j = 305 - 310. Put 1, j, 15, -2 in descending order. 15, 1, -2, j Let c = 63.92 - 65. Let s = c - -1. Sort 1/4, s, -0.1 in descending order. 1/4, s, -0.1 Let k be -24 + (0 - -14) - (0 - 6). Put 53, k, 2 in descending order. 53, 2, k Let w = 2 + -4. Let a = -816 + 815.9. Sort 0.3, 0, a, w in decreasing order. 0.3, 0, a, w Let b = -0.2 + 1.2. Let y(n) = 53*n + 26. Let p be y(4). Let g = 240 - p. Sort g, 0.2, b. 0.2, b, g Let f be 12/5*(-165)/(-66). Put 0, -3, f in increasing order. -3, 0, f Let f = -43 + 44. Sort -1, -9, f. -9, -1, f Suppose 0 = 5*k + 10, -4*j = -5*j - 4*k - 6. Let z be 0 - (-1 + 4 + j). Let m be ((-2 - -2) + -10)/(-2). Sort m, z, 0. z, 0, m Suppose 0 = 23*u - 92 - 0. Sort 2/7, -1, u, 11 in increasing order. -1, 2/7, u, 11 Let j = 819 - 819. Let y be 1*(0 + 1 + 2). Sort 25, j, -3, y in increasing order. -3, j, y, 25 Let y = -222.4 + 220.443. Let v = 0.043 - y. Put v, -3, -1 in decreasing order. v, -1, -3 Let d be -4*3/(-24)*6. Suppose -2*i = v + 4*v + 30, d*v - 2*i = -18. Sort -3, v, -1 in descending order. -1, -3, v Let p = -1.6 - -2. Let u = 169 - 173. Let b = -7.9 + -2.1. Sort u, b, p. b, u, p Let t be 9/15 + ((-165)/(-50))/(-1). Let s = t + 26/5. Put s, -2/11, -29, -3/7 in descending order. s, -2/11, -3/7, -29 Let o(c) = -3*c. Suppose -10*p = -9*p - 4. Let l be o(p). Let h be 5/15*l/(-2). Put h, -2, -4 in descending order. h, -2, -4 Suppose 580 = 31*s + 2843. Put 0, s, 4 in descending order. 4, 0, s Suppose 5*h + 6*x = 3*x + 92, 2*x + 72 = 5*h. Suppose -21 = 5*s - h. Let l(i) = -i**3 - 2*i**2 + 3*i - 3. Let p be l(-3). Put s, 0, p in increasing order. p, s, 0 Let z be (240/(-192))/(10/(-8)). Put -7, 5, z in decreasing order. 5, z, -7 Let b(a) = 5*a. Let c be b(-1). Let q be (2/6)/((-16)/96). Put q, c, -4 in ascending order. c, -4, q Let b = -0.36 - 0.04. Put 2/9, b, -9 in decreasing order. 2/9, b, -9 Suppose 2*h + 2*g = -14 - 2, -5*h + 2*g = 12. Let r = 10 - 5. Suppose 0 = -s + r*s - 4. Sort s, 4, h in increasing order. h, s, 4 Suppose -a = -5*t + 64, -3*t + 32 = -0*t + a. Suppose 2*l - 6 = 0, -4*l = -3*k - 2*l - t. Let b = -40 + 42. Sort b, 0.3, k. k, 0.3, b Let f(w) = 7*w + 74. Let r be f(-10). Suppose -2*g = r*q - 10, -2*g = -q + g - 1. Sort -1, 1/9, q, -1/7. -1, -1/7, 1/9, q Suppose 0 = 5*g - t - 8, -4*t + 0*t - 12 = 0. Put g, -14, 3 in ascending order. -14, g, 3 Suppose l = 1341 - 1336. Sort l, -53, -3 in descending order. l, -3, -53 Let u = -22 - -17.5. Let j = -0.5 + u. Let x = 65 - 64.8. Sort j, x, 2 in increasing order. j, x, 2 Let v(o) = o. Let d be v(-3). Let p = 1/623 - -1864/3115. Sort 1/3, -1/10, p, d in decreasing order. p, 1/3, -1/10, d Suppose -2*s - 2 - 4 = 0. Suppose 0 = 4*n - n - 6. Suppose -5 + 11 = n*u. Put s, -1, u in decreasing order. u, -1, s Let b be ((-324)/(-1))/6*(-14)/(-21). Sort -5, b, 4, -4 in decreasing order. b, 4, -4, -5 Suppose -4*w = 3*w - 35. Suppose -w*l = 3*m - 1, 3*l = 3*m - 12 + 3. Sort 1, -4, m in increasing order. -4, 1, m Let s be (56/(-112))/((-2)/(-44)). Sort 5, s, -3. s, -3, 5 Let l = -26 - -22. Let c be -1*2*(-1 - -2). Put l, c, 1 in decreasing order. 1, c, l Let v = -5 - -5.1. Let x = 1.64 - 1.94. Put x, -3/5, v in decreasing order. v, x, -3/5 Suppose 5*m + 7 - 2 = 0. Let t be 3*(8/(-6))/(-1). Let w = t + m. Put 5, -5, w in descending order. 5, w, -5 Let v(b) = -45*b + 496. Let z be v(11). Put 2, z, -163 in ascending order. -163, z, 2 Let g = -91 - -32. Let d = 56 + g. Sort d, -1/3, 0.4 in ascending order. d, -1/3, 0.4 Let w(a) = -a**3 + 3*a**2 + a - 1. Let l be w(3). Sort -1, -4, l, 3. -4, -1, l, 3 Let j be ((-5)/(-10))/((-8)/(-112)). Put 4, 1, j in decreasing order. j, 4, 1 Let h = 20 - 20. Let u = 6 + -1. Sort h, -1, 0.3, u in decreasing order. u, 0.3, h, -1 Suppose -3*s + 4*a - 126 = a, 0 = -s + 4*a - 45. Let z = -41 - s. Sort 3, z, -0.01 in descending order. 3, z, -0.01 Let z = 0.9 + 0. Let b = z - 1. Let y = 2 + 3. Sort -3, y, b. -3, b, y Let s be -8 + ((-5)/(-6) - -7). Let m = 0.73 - -0.07. Let i = -6.8 + m. Sort s, i, 3 in descending order. 3, s, i Let n be 0*2/8 - -4. Let i be (5 - 2) + (3 - (n - -1)). Let k(c) = c + 2. Let z be k(-7). Put i, 4, z in descending order. 4, i, z Let l = -47.7 + 42.7. Sort 3/2, l, 84, 1 in descending order. 84, 3/2, 1, l Let n = 20.3 + -19.8. Put 2, -0.3, 1.9, n in decreasing order. 2, 1.9, n, -0.3 Let h = 1588 + -1719. Sort 0, -1, h in descending order. 0, -1, h Let x = 23 - 27. Let u = 1 + 14. Let i = 14.5 - u. Sort x, -5, i in decreasing order. i, x, -5 Suppose 70*p = 74*p - 4. Suppose 4*j + 4*r + 2 = -18, 2*r = -4*j - 16. Let y = -3 - j. Sort -5, p, y in descending order. p, y, -5 Let a = -4.161 - -1.161. Sort a, 4/9, 6. a, 4/9, 6 Let p = 6 - 10. Let d be (-10)/(-3)*(-63)/(-14) - 2. Suppose -3*k + 10 = 4*m, 0 = -5*k - 5*m + 2*m + d. Put -3, p, k in increasing order. p, -3, k Suppose -2*d = -3*y - 17 + 3, -y = -d + 7. Suppose -5*q + 13 + d = 0. Put -3, 1, q, 5 in descending order. 5, q, 1, -3 Suppose -r + 10 = 13. Sort 5, r, 169 in decreasing order. 169, 5, r Suppose -2*b = 5*q - 14, -3*q + 1 = 5*b + 4. Suppose 5*o + 3*v = 32, 2*v - 28 = -q*o - v. Suppose 30*y - 25*y - 15 = 0. Put o, y, -4 in ascending order. -4, y, o Let u(y) = y - 1. Let m be u(0). Let v be (-3)/(-6) + 9/2. Suppose -6 = -b - 2*a, -9 = -v*b - 4*a + a. Sort m, -4, b. -4, m, b Let l(f) = -f**3 + 6*f**2 + 6*f + 7. Let y be l(7). Suppose y = 2*s + 6, m + 2*s - s + 3 = 0. Sort 1, m, 4, 2 in decreasing order. 4, 2, 1, m Let p = 1 + -0.9. Let l = 4.9 + p. Let d = 0.37 + 0.13. Sort l, d, -0.02 in decreasing order. l, d, -0.02 Let h be 3*(7/3 + 1). Let u be (486/(-126) - 1/7) + 0. Sort h, -5, u. -5, u, h Let t = 14.47 - 18.47. Sort -5/14, t, -1, -6 in ascending order. -6, t, -1, -5/14 Suppose -12*y = -18*y - 282. Put y, -2, -3/5 in ascending order. y, -2, -3/5 Let b = -5.08 + 5. Let d be 60/(-8) + (-3)/(-6). Let x be ((-9)/18)/(d/(-6)). Put x, -5, b in decreasing order. b, x, -5 Suppose 0 = -35*r + 93 + 292. Put 0, r, 5, 3 in descending order. r, 5, 3, 0 Let h be (-24)/(-18)*(-1)/(-2). Let g = -33 - -22. Let u = g + 6. Put u, -0.2, h in descending order. h, -0.2, u Let w = 0.4 - -0.1. Suppose 28 = -3*x + 4*n, -32 = 7*x + 10*n - 11*n. Sort 0.2, w, x in increasing order. x, 0.2, w Let x be (19 - 17)*(66 + -4). Sort 3, 2, 0, x in descending order. x, 3, 2, 0 Let r = -103 + 108. Suppose 3*o + 28 = r*l + 2*o, -22 = -5*l + 4*o. Put 0, l, 1, -0.1 in decreasing order. l, 1, 0, -0.1 Let u(l) = -l**3 - 16*l**2 - 17*l - 1. Let t be u(-15). Suppose -4*j + 5*y + t = 0, -2*j = -5*y - 7 - 20. Put j, 1/5, 5 in descending order. 5, j, 1/5 Let b = -327 - -334.85. Let c = -10 + b. Let k = c - -0.15. Put 3, -0.3, k in decreasing order. 3, -0.3, k Suppose 0 = 4*o - 2*g - 10 + 2, 0 = -o - g + 8. Suppose 3*f + 26 = f - 4*v, -o*v = 16. Sort f, 4, -3 in increasing order. f, -3, 4 Let n be -2*(-5)/(-2) - (-816)/164. Sort n, -0.5, -1/7. -0.5, -1/7, n Let i = -3.788 - 0.212. Put i, -5, -2/3 in decreasing order. -2/3, i, -5 Let c = -0.3614 - -0.0614.
{ "pile_set_name": "DM Mathematics" }
the difference between -0.2 and -116943.01658? 116942.81658 Calculate 38.395 - 168.2644. -129.8694 Calculate 852251169578 - 4. 852251169574 Work out 5975269992 + 1. 5975269993 -1.36631566166+1.5 0.13368433834 Add together 1456 and -521520439. -521518983 What is 20113263897 plus 2927? 20113266824 Calculate -14.905506 + -1.5516. -16.457106 Add together -41.135 and -0.40922508. -41.54422508 Subtract -435991889 from -50.077. 435991838.923 Total of 240093089 and -199767.2. 239893321.8 What is the distance between -2357.17376912 and -0.1? 2357.07376912 What is 15730262565989 minus -0.3? 15730262565989.3 What is -259515113 less than -1220? 259513893 Calculate -8803 + -4181801323. -4181810126 What is the distance between -42364913 and -100.138? 42364812.862 What is the difference between -8420.19 and -77147.7? 68727.51 19912027 + 598407 20510434 103+-1417269.938053 -1417166.938053 Calculate -103.8556 - 200.2148. -304.0704 Work out 76.59 - 20.1449402. 56.4450598 Add together 31879199181 and 48. 31879199229 What is -26 + 127.28702686? 101.28702686 Work out -345 - -42812514999. 42812514654 Calculate 4 - -86114821026. 86114821030 Work out -0.459535066781 + 0.3. -0.159535066781 What is 2300 minus 4411479821? -4411477521 0.1357+-62.7163938 -62.5806938 Calculate -844549938.4953 - 0.4. -844549938.8953 What is -182814 - -41765553? 41582739 Subtract 326250157 from 161.4. -326249995.6 Calculate 0.214 - -16570314172. 16570314172.214 What is the difference between -0.42302 and 3618692? 3618692.42302 Calculate -0.877 - -154.690477. 153.813477 Put together 0.014 and 559880836. 559880836.014 Add 808092210927 and -0.28. 808092210926.72 What is 570833823.5283 take away 50? 570833773.5283 Calculate 0.004 - -68.95190537. 68.95590537 Add 8104531410411 and 5. 8104531410416 What is 8005 plus 0.349010563? 8005.349010563 Work out -52.37956423 - -38.53. -13.84956423 What is -76.5184474855 take away 0.0194? -76.5378474855 -1277.59378 - 2481 -3758.59378 Work out -0.39 + -7.303386639. -7.693386639 Work out 526 - 102553.808833. -102027.808833 What is 342240224490 take away -74? 342240224564 What is -25.66 take away 30362579.24? -30362604.9 Work out 226904.656 + 2848500. 3075404.656 Sum 0.6 and 890451.7503371. 890452.3503371 What is -6 plus 117150467423? 117150467417 Put together -400522306 and -2.76278. -400522308.76278 Work out -9683415105 + -7300. -9683422405 What is the difference between -14647207 and 0.00300701? 14647207.00300701 What is -4 - -69420515683? 69420515679 Sum 9024.552 and -47.68. 8976.872 Work out -0.0428 - -42107.082. 42107.0392 Subtract -5 from 3551432.19029667. 3551437.19029667 Total of -77271 and -48644. -125915 Calculate -0.8 - 48.0672620395. -48.8672620395 -92060476+694.0475 -92059781.9525 Total of 52.975 and 0.0565139. 53.0315139 Put together 0.882 and 90.8947905. 91.7767905 Sum 0.1 and 44424.3477517. 44424.4477517 What is 163495496.3 take away 0.1776? 163495496.1224 Subtract 279354.0549 from 42.7. -279311.3549 What is 4.19620743678 minus 1.539? 2.65720743678 What is -4.5103422 + -867.6? -872.1103422 Work out 30717750.239 - 1. 30717749.239 2571.356074+-119.3 2452.056074 What is 32 - 0.26829836493044? 31.73170163506956 What is -0.07247713 take away 21035? -21035.07247713 -1087.2+1444877087 1444875999.8 Subtract 24065180.9204 from 408. -24064772.9204 What is -4 less than 8076931.5833? 8076935.5833 What is 190.9505177 minus 115765? -115574.0494823 203+1596.79796116 1799.79796116 Total of -214957.44 and 3100. -211857.44 -164.64+4.813787 -159.826213 Calculate -22471989164.2 - 5. -22471989169.2 Calculate -4054818416134 - 0.03. -4054818416134.03 Work out -7934795.205 - 6. -7934801.205 Add 83441108583 and 83. 83441108666 Put together -385231 and -33192803. -33578034 Subtract 19 from -33258.64596164. -33277.64596164 What is 87838.3 less than -983377? -1071215.3 Add 25.353285 and 41642. 41667.353285 Subtract -4814951015 from 1.12. 4814951016.12 Calculate 4.9819357751 - -0.61. 5.5919357751 Calculate -16666970920550 - 1. -16666970920551 -167.898164676 - 5 -172.898164676 Put together -8156231 and 977.256. -8155253.744 Total of -0.02 and 583923.0259284. 583923.0059284 Total of -8.694 and 0.0320337105. -8.6619662895 -4291236727 - 0.004 -4291236727.004 What is the distance between -203828017604 and 5? 203828017609 -1261+-593767.089 -595028.089 What is -30070106613 minus 1.65? -30070106614.65 What is -23765378 - 17505226? -41270604 Work out 1381344.4 - 1827961. -446616.6 What is -1156014 take away 0.00696? -1156014.00696 What is -377 minus -854955143.65? 854954766.65 Calculate 589 - 256087708375. -256087707786 Subtract 143296 from -2737384. -2880680 -1.3498824786+2232 2230.6501175214 What is 1237169 minus 23467439? -22230270 What is -0.03 + -21636023083? -21636023083.03 What is 729428 - -71.836? 729499.836 Calculate -0.30285 + -491136573. -491136573.30285 Work out 48 - -1297258883. 1297258931 What is the distance between -0.03565037646723 and 0? 0.03565037646723 Add together -22 and -465.5023159. -487.5023159 Add 5709.97 and -2664146. -2658436.03 593.7601786 - -2918 3511.7601786 Put together 3.829 and 146292.2. 146296.029 -401 + -2602988795 -2602989196 Total of -2749.905929 and -0.00924. -2749.915169 1521498582130+0.05 1521498582130.05 Work out 17691 - -2332025787. 2332043478 -58793150+-0.0931 -58793150.0931 What is -44200132803 take away 347? -44200133150 Calculate -0.2345 - -651.41847. 651.18397 What is -2257 - 6676594.655? -6678851.655 What is -37283051898 minus 133.2? -37283052031.2 What is 1440.86 minus 13157.81? -11716.95 Work out 98 + 1.585034538333. 99.585034538333 Subtract 22083724 from 51658. -22032066 -47392.8189+-5607 -52999.8189 Subtract 17514832 from -10515. -17525347 Calculate -3.6729 + 2673516817. 2673516813.3271 What is 149 plus -28131816.37641? -28131667.37641 Add 0 and -354019618396. -354019618396 Work out 44889236174023 + 1. 44889236174024 Work out 5072.360141 + 0.9. 5073.260141 Work out -225 + 1575991280.4. 1575991055.4 What is 18.2322 plus 1.325? 19.5572 -0.05 + 1811951438381.6 1811951438381.55 Subtract -151217468582 from 5.24. 151217468587.24 What is -101 - 77584542? -77584643 What is -118519447331 + -2.5? -118519447333.5 What is 222097.67601 plus -0.02127? 222097.65474 21.37269+-36506283 -36506261.62731 Calculate -13558 - -125073603. 125060045 -137 - 3101515775 -3101515912 60536538811132 + -4 60536538811128 Calculate 85339.43 - 116932. -31592.57 What is -644592076134 + 3? -644592076131 What is 1237886862 less than -5.427? -1237886867.427 What is 0.29918998 + -42975014? -42975013.70081002 What is 9322122492 take away 28? 9322122464 What is 85.18 less than -673131? -673216.18 Put together 1.10966701 and 5694. 5695.10966701 What is the difference between -7.044 and 11302424? 11302431.044 What is 1384.53 less than -5122946? -5124330.53 What is the distance between 183 and -39.518683465? 222.518683465 Sum -380732891782 and -0.13. -380732891782.13 What is 726 less than -22104.646946? -22830.646946 -9697+15371478952 15371469255 Work out 606966 + -778.102. 606187.898 Total of -8 and -3243.420569049. -3251.420569049 Total of 785809.1971 and -1.8. 785807.3971 Subtract 119 from 8888600050441. 8888600050322 -9563606 - -5.76986 -9563600.23014 What is 309984 plus 291.64227? 310275.64227 Work out -30 - 18095237975154. -18095237975184 Work out 0 + 9300552525.341. 9300552525.341 What is 1343788 plus -335.0038? 1343452.9962 Add together -1.23 and 0.068413309. -1.161586691 Calculate -2152.72790957 + 3. -2149.72790957 Calculate -132.443 - 10.2918. -142.7348 Put together 0 and 1352724253242. 1352724253242 Put together 296385540509 and -3. 296385540506 -81398 - -0.2501992945 -81397.7498007055 Total of 15 and -5575118700745. -5575118700730 3.659 + -38.87239214 -35.21339214 Put together 3.69484504 and 335.49. 339.18484504 Calculate -484950.31898 - -0.26. -484950.05898 What is 93291135 - 588? 93290547 What is -7408.38192 less than 3626? 11034.38192 Add 5 and -6042.9700844. -6037.9700844 Calculate 43296224759 - -0.03. 43296224759.03 Calculate -1075 + 1758.997697. 683.997697 Add -17891.13 and 12179.4. -5711.73 Add together -12 and -6276294332. -6276294344 Total of -29 and -652376.6727. -652405.6727 Work out -1 - 76341848632684. -76341848632685 Add 74744103572908 and 0.1.
{ "pile_set_name": "DM Mathematics" }
s the least common multiple of 106320 and 3572352? 17861760 Calculate the common denominator of -101/263266 and 87/1053064. 1053064 What is the common denominator of -1/17316 and -107/8736? 969696 Find the common denominator of 117/20 and -47/40765480. 40765480 Calculate the common denominator of 181/3718080 and -113/24353424. 487068480 Find the common denominator of 6/673505 and -101/538804. 2694020 Calculate the least common multiple of 196334 and 3028. 297249676 What is the common denominator of -68/473799 and -56/327? 51644091 What is the smallest common multiple of 9283839 and 43324582? 129973746 What is the least common multiple of 26691195 and 8523? 80073585 Calculate the smallest common multiple of 3498424 and 8028. 31485816 Calculate the common denominator of 55/2646 and 67/1816220. 343265580 What is the common denominator of 51/139600 and -113/4810? 67147600 Find the common denominator of -5/188 and -53/21485345. 85941380 Find the common denominator of -93/280 and -89/691500. 9681000 What is the smallest common multiple of 2138393 and 114475? 53459825 Find the common denominator of 59/50 and 61/3514080. 17570400 What is the lowest common multiple of 1084680 and 42444? 9762120 Find the common denominator of -29/6886 and -5/49. 337414 Calculate the smallest common multiple of 988 and 1883128. 1883128 What is the lowest common multiple of 47868 and 79716176? 239148528 Calculate the least common multiple of 4990830 and 50573744. 758606160 Calculate the common denominator of -93/1444 and -46/12878675. 51514700 Calculate the common denominator of -125/148308 and -133/666. 16462188 Calculate the common denominator of 127/6397116 and -149/3489336. 38382696 What is the common denominator of 43/4245690 and -82/33? 46702590 Calculate the smallest common multiple of 1089836 and 297228. 3269508 Find the common denominator of -23/10472 and -21/646. 198968 Calculate the smallest common multiple of 665 and 20853735. 20853735 Calculate the common denominator of -57/1760 and 19/1546699. 247471840 Calculate the smallest common multiple of 956726 and 14. 6697082 What is the common denominator of 47/112562 and 83/1032? 58081992 What is the common denominator of -113/46046 and -67/32318? 5203198 What is the common denominator of 77/272253 and -37/5964? 541238964 Find the common denominator of 71/16094 and -1/3982. 32043154 What is the common denominator of -38/770331 and 77/8216864? 24650592 What is the least common multiple of 1007687 and 750693? 111853257 What is the lowest common multiple of 288436 and 4903412? 4903412 What is the smallest common multiple of 1331321 and 8733? 163752483 Calculate the lowest common multiple of 130531200 and 216. 1174780800 Calculate the smallest common multiple of 4551876 and 243. 4551876 What is the lowest common multiple of 594 and 2996202? 26965818 Find the common denominator of -8/181065 and 71/6518340. 6518340 Find the common denominator of -47/1246708 and -103/20. 6233540 What is the lowest common multiple of 6834270 and 36942? 6834270 Find the common denominator of -43/21931530 and -34/9. 65794590 What is the least common multiple of 375010752 and 208? 4875139776 Calculate the smallest common multiple of 2160990 and 7923630. 23770890 Calculate the lowest common multiple of 4361006 and 35894434. 466627642 What is the least common multiple of 47796 and 152492? 3202332 What is the least common multiple of 36 and 5215146? 31290876 Find the common denominator of -155/1372098 and 97/1161006. 15093078 What is the lowest common multiple of 8732553 and 3? 8732553 Calculate the common denominator of -109/70060 and 53/8610374. 86103740 Find the common denominator of -163/14073696 and -109/61572420. 492579360 Calculate the lowest common multiple of 299736 and 1529631. 281452104 What is the smallest common multiple of 2080032 and 243408? 22880352 What is the common denominator of -58/11811 and 6/6641719? 19925157 Calculate the smallest common multiple of 702 and 5952193. 321418422 Calculate the common denominator of 101/41420 and 83/394. 8159740 What is the common denominator of 59/124160152 and 121/189654? 372480456 Find the common denominator of 41/279 and -29/36735. 110205 Find the common denominator of -53/5390550 and 139/90. 5390550 What is the common denominator of -41/189543024 and -113/330? 947715120 What is the common denominator of 12/16415 and 99/140? 65660 Calculate the common denominator of -45/6106108 and 50/10685689. 42742756 Calculate the least common multiple of 9072 and 28833408. 201833856 Calculate the common denominator of 91/40714200 and 50/63. 284999400 Calculate the lowest common multiple of 91908 and 86940. 3216780 Find the common denominator of -65/14688 and -47/12607472. 680803488 Calculate the common denominator of 13/82509 and -157/477498. 1876089642 Calculate the least common multiple of 318756 and 84840. 22312920 Find the common denominator of 63/577300 and 14/2997. 1730168100 What is the least common multiple of 1308 and 45113? 59007804 Calculate the least common multiple of 2835140 and 73640. 5670280 What is the common denominator of -47/36 and 41/2102724? 2102724 Calculate the common denominator of 131/44754 and -25/62968878. 62968878 What is the least common multiple of 265222828 and 239484? 5569679388 What is the common denominator of 35/927 and -83/13365? 1376595 Find the common denominator of 99/17521538 and 55/49683. 52564614 What is the least common multiple of 872 and 7204464? 7204464 Calculate the least common multiple of 316575 and 859275. 6014925 What is the common denominator of -29/15512784 and -25/1292732? 15512784 What is the common denominator of -57/33565 and 32/35? 33565 Find the common denominator of -111/338702 and -55/3290248. 23031736 What is the smallest common multiple of 416555 and 749799? 3748995 Find the common denominator of -29/92 and -95/3228. 74244 What is the least common multiple of 4846460 and 3905? 53311060 Find the common denominator of -57/102154 and 11/85094282. 85094282 Calculate the common denominator of 37/352347 and -71/12339. 3171123 What is the common denominator of 83/45756 and 93/1154? 26401212 What is the common denominator of -127/1703424 and 139/12775680? 25551360 What is the common denominator of 9/884 and 25/3208894? 109102396 What is the smallest common multiple of 355536 and 3318? 196611408 Calculate the common denominator of -121/90 and -37/624680. 5622120 Calculate the smallest common multiple of 24 and 90616504. 271849512 Find the common denominator of 7/435 and -107/514440. 14918760 Calculate the common denominator of -85/35778904 and 13/6489. 322010136 Find the common denominator of -67/38480 and 145/239538. 9581520 What is the lowest common multiple of 6481470 and 312360? 25925880 Calculate the lowest common multiple of 1068 and 494772. 44034708 What is the least common multiple of 1552844 and 3493899? 13975596 Find the common denominator of 137/412620 and 197/6630. 7014540 What is the least common multiple of 40 and 1529800? 1529800 Calculate the lowest common multiple of 72 and 687660. 4125960 Calculate the common denominator of -55/33956 and -151/10980. 93209220 Calculate the least common multiple of 176849912 and 132637434. 530549736 Calculate the smallest common multiple of 524 and 1108182. 290343684 What is the smallest common multiple of 6084464 and 1141? 42591248 What is the lowest common multiple of 160490498 and 10? 802452490 Calculate the common denominator of -49/6631589 and 37/344. 53052712 What is the common denominator of -13/166642578 and -89/2? 166642578 What is the lowest common multiple of 63810 and 1470? 3126690 What is the common denominator of 23/13075662 and -119/104605296? 104605296 What is the lowest common multiple of 260183 and 1846? 480297818 Find the common denominator of 113/100332 and -143/200664. 200664 Calculate the common denominator of 103/20 and -23/11925512. 59627560 What is the smallest common multiple of 150840 and 130501740? 783010440 What is the lowest common multiple of 809723 and 8? 6477784 Find the common denominator of -109/214560 and 31/29645040. 177870240 What is the common denominator of -109/18156 and -30/4063? 4339284 Calculate the common denominator of 109/270 and -115/16044. 721980
{ "pile_set_name": "DM Mathematics" }
*2 + k + 1. Let y(h) = 5*h**2 - 2*h - 4. Calculate -11*u(o) - 4*y(o). 2*o**2 - 3*o + 5 Let j(w) = -8*w**3 - 7*w**2 - 5*w - 2. Let m(f) = -f**2 - f - 1. Calculate j(g) - 5*m(g). -8*g**3 - 2*g**2 + 3 Let p(q) = q. Let a be 2/8 + (-5)/4. Let y(n) = -5*n - 11*n + 2*n. Calculate a*y(i) - 12*p(i). 2*i Let q(i) = -114*i. Let n(x) = 228*x. Calculate -4*n(g) - 7*q(g). -114*g Let a(m) be the first derivative of 2*m**3 + 10*m**2 + 26*m + 19. Let x(s) = -s**2 - 4*s - 5. Determine -3*a(o) - 16*x(o). -2*o**2 + 4*o + 2 Let q(d) be the second derivative of 3*d**4/4 + d**3/6 - 5*d**2/2 + 35*d. Let u(v) = 5*v**2 - 3. Give 3*q(k) - 5*u(k). 2*k**2 + 3*k Let p = 67 - 61. Let h(m) = m + 7. Let o(y) = y + 8. Determine p*o(r) - 7*h(r). -r - 1 Let b(s) = -5*s**2 + 6*s. Suppose 2 = 5*u - 4*t, 3*u - 2 = t + 2. Let r(q) = 10*q**2 + q**u - 10*q - 3*q. Determine 13*b(y) + 6*r(y). y**2 Let m(j) = j**3 + j**2 - j. Let f(v) = 4*v**2 - 4*v. What is -2*f(r) + 8*m(r)? 8*r**3 Let p be (1 + -3)/2*-3. Let w(u) = -u**2 - u**3 + 6*u**p - 1 - 3*u**2 - u. Let z(b) = 4*b**3 - 3*b**2 - b - 1. Determine -3*w(d) + 4*z(d). d**3 - d - 1 Let h = -13 + 23. Suppose f + h = 5*w, w - 21 = -3*f + 7*f. Let m(p) = p**3 - 2*p. Let j(u) = -u + 1. Calculate w*j(x) - m(x). -x**3 + x + 1 Suppose -4*a + 5 = 5*j, 5*a = 4*j + j - 50. Let p(z) = -4*z + 0*z + j*z + 1. Suppose 0*g + 5*g - 35 = 0. Let h(c) = 3*c + 4. Give g*p(t) - 2*h(t). t - 1 Let a(n) = -4*n**2 + 5*n**3 - 2*n - 2 + 0 + 0*n**2 + 6*n**2. Let i(g) = 5*g**3 + 3*g**2 - 3*g - 3. Determine 3*a(y) - 2*i(y). 5*y**3 Let q(a) = -2*a + 7. Let r be q(7). Let n(z) = 2*z**3 + z + 7. Let m(d) = -3*d**3 + 11 + 6 - d - 27. Give r*n(u) - 5*m(u). u**3 - 2*u + 1 Let b(g) = -4*g. Let i(d) be the first derivative of -5*d**2/2 + 28. Calculate 4*b(r) - 3*i(r). -r Let d(v) = -v**2. Let u be 2/5 + 12/(-5). Let f(b) = -b**2. Calculate u*f(o) - d(o). 3*o**2 Let b(k) = -5 + 1 + 4 + 3 + k**3. Let i(r) be the third derivative of r**6/120 + 2*r**3/3 + r**2. Give -4*b(p) + 3*i(p). -p**3 Let f(l) = l**2 + 2*l - 1. Let v(g) = g**3 - g**2 - g + 1. Let t(k) = k**3 - 4*k**2 + k - 2. Let m be t(4). Calculate m*v(x) + f(x). 2*x**3 - x**2 + 1 Let y(r) = 8*r**2 + 5*r - 2. Let c(n) = -4*n**2 - 2*n + 1. Determine 10*c(p) + 4*y(p). -8*p**2 + 2 Let n(t) = -4*t**2 - 5*t + 5. Let u(c) = -20*c**2 - 24*c + 24. Suppose -3*i + a = 67, 0 = -7*i + 3*i - 2*a - 106. What is i*n(o) + 5*u(o)? -4*o**2 Let n(p) = -2*p + 5. Let u(x) = -x + 4. Give -2*n(m) + 3*u(m). m + 2 Let f(t) = 0*t + t + 3*t + 7. Let p(r) = -4*r + r - 5*r + 5*r - 5. Let k = 10 + -15. Determine k*f(z) - 7*p(z). z Let w(y) = -3*y + y**2 + 2*y + 2*y. Let c be (-22 - -4)/(6/(-4)). Let s(g) = -3*g**2 - 4*g. Give c*w(f) + 3*s(f). 3*f**2 Let y(j) = -j**3 - j**2 - j - 1. Let a(f) = -5*f**3 - 6*f**2 - 9*f - 6. Calculate -a(h) + 6*y(h). -h**3 + 3*h Let p(t) = 5*t**2 - 4. Let u(v) = -v**2 - v - 1. Calculate -p(k) - u(k). -4*k**2 + k + 5 Suppose 0 = 2*c - 3*c - 5*j + 4, -5*c + 2*j = 7. Let x(n) = -1. Let z(l) = 5*l - 1. Let q(b) = 6*b. Let f(v) = 3*q(v) - 4*z(v). Give c*f(o) - 6*x(o). 2*o + 2 Let l(c) = -9*c**3 + 5*c**2 + 5. Let u(v) = -14*v**3 + 7*v**2 + 7. Give 7*l(w) - 5*u(w). 7*w**3 Let q(o) be the first derivative of -5*o**3/3 + 2*o**2 + 7*o - 1. Let a(p) = 16*p**2 - 5*p - 30*p**2 + 16*p + 20. Determine -6*a(h) + 17*q(h). -h**2 + 2*h - 1 Let u(z) = -14*z**2 + 6. Let j(f) = -14*f**2 + 5. Give -6*j(d) + 5*u(d). 14*d**2 Let f(z) = 5*z + 11. Let l = -14 + 24. Let i be ((-5)/l)/((-1)/18). Let s(m) = -4*m - 2*m - 5 + 2*m + 2*m. Determine i*s(d) + 4*f(d). 2*d - 1 Let y(s) = 4*s + 4. Let r(j) = 9*j + 9. Let g(w) = -3*r(w) + 7*y(w). Let z(b) = -2*b - 2. Give -4*g(p) - 3*z(p). 2*p + 2 Let c(f) = 3*f**3 + 5*f**2 + 7*f - 5. Let j(n) = n**2 - n. Let p(d) = 2*d**3 + 7*d**2 - 3. Let h(k) = 4*j(k) - p(k). What is 3*c(m) + 5*h(m)? -m**3 + m Let c(i) = -12*i**2 - i - 1. Let w(v) = v**2 + v + 1. What is c(q) + w(q)? -11*q**2 Let q(z) = -4*z - 9. Let p(n) be the third derivative of n**4/12 + 2*n**3/3 - 19*n**2. Suppose 0 = 2*r, 0 = 4*g - r + 4 + 4. Calculate g*q(f) - 5*p(f). -2*f - 2 Let h(x) = x - 2. Let n(l) = 3*l - 5. Give 7*h(f) - 3*n(f). -2*f + 1 Let d(b) = 9*b**3 + 5*b**2 + 7*b - 5. Let u(f) be the second derivative of 1/4*f**4 + 1/4*f**5 - 3/2*f**2 + 2/3*f**3 - 4*f + 0. Calculate 3*d(a) - 5*u(a). 2*a**3 + a Let o(u) = -20*u**3 - 15*u. Let t(j) be the third derivative of j**6/120 + j**4/24 + 11*j**2. What is o(c) + 15*t(c)? -5*c**3 Let y(d) = d. Let t(b) = 4*b - 1. Let z be (-1)/(-4) - (-23)/4. Suppose z = -4*j - 18. Determine j*y(m) + 2*t(m). 2*m - 2 Let j(z) = -z + 1. Let t = -17 - -16. Let i(k) = -k + 1. Let f(a) = -1. Let d(p) = -f(p) + i(p). What is t*d(b) + 3*j(b)? -2*b + 1 Let s be (-4)/14 - (-60)/14. Let u(m) = 2*m - 2. Let g(h) be the first derivative of h**2/2 - 2*h - 3. Determine s*g(i) - 3*u(i). -2*i - 2 Let n = 120 + -119. Let d(w) = -3*w + 1. Let b(r) = 1. What is n*b(y) - d(y)? 3*y Let z(b) = 3*b**2 + 3*b. Let f(y) = -y**3 - y**2 - y. Let w = -125 + 124. What is w*z(j) - 3*f(j)? 3*j**3 Let m(b) = -3*b**2 + 9*b + 7. Let h(u) = 0*u**2 - u**2 + u + 3*u + 3. Calculate -7*h(z) + 3*m(z). -2*z**2 - z Let s(n) = -4*n**2 - 6*n. Let l(x) = -7*x**2 - 11*x. Let y be (2 + (-40)/15)*9. Calculate y*l(j) + 11*s(j). -2*j**2 Let x be (-5)/(-4) + 3/(-12). Let i(o) be the third derivative of -o**4/24 - 49*o**2. Let d(r) = r. Give x*i(c) + 3*d(c). 2*c Let u(x) = -8*x**2 + 2. Let s(z) = 15*z**2 - 4. Give -6*s(m) - 10*u(m). -10*m**2 + 4 Let t(b) = b**3 + 4*b - 4. Let s(h) = -h**3 + h**2 - 3*h + 3. What is -4*s(c) - 3*t(c)? c**3 - 4*c**2 Let x = -10 + 2. Let u be x/(-2) - (3 - 3). Let c = -9 + 2. Let o(d) = 4*d + 7. Let g(w) = 2*w + 4. Calculate c*g(n) + u*o(n). 2*n Let o(y) = 7*y**3 + 4*y**2 - 8*y - 6. Let r(z) = 15*z**3 + 9*z**2 - 16*z - 13. Determine 13*o(j) - 6*r(j). j**3 - 2*j**2 - 8*j Let c(k) = -4*k**2 - 1. Let f(b) = -1. Determine -2*c(s) + 2*f(s). 8*s**2 Let r(q) = 3*q**3 + 4*q**2 - 2*q. Let v(d) = -16*d**3 - 21*d**2 + 11*d. Let a(n) = -11*r(n) - 2*v(n). Let x(y) = -2*y**2 + 1. Calculate 3*a(w) - 2*x(w). -3*w**3 - 2*w**2 - 2 Let u(r) = -r**3 - 2*r**2 - 3. Suppose 13 - 10 = 3*q. Let h(n) = -n**3 - n**2 - 1. Give q*u(f) - 2*h(f). f**3 - 1 Let h(u) = -9*u - 6. Let z(l) be the third derivative of -5*l**4/12 - 7*l**3/6 + 11*l**2. Let n be 1/1*(-1 + 8). Calculate n*h(m) - 6*z(m). -3*m Suppose -3*t + 2 = -5*y + t, t + 1 = 2*y. Suppose -y*s + 15 = 5. Let z(o) = -3*o - 6. Let c(r) = 2*r + 5. Calculate s*c(l) + 4*z(l). -2*l + 1 Let m(n) = -2*n - 1. Let i be m(8). Let v(z) = 3*z**2 + 20*z - 14. Let s(l) = l**2 + 7*l - 5. Calculate i*s(k) + 6*v(k). k**2 + k + 1 Let q(y) = -6*y**2 + 11*y + 15. Let z(l) = 11*l**3 + l**2 - 1. Let g be z(1). Let a(u) = 0*u - g*u**2 - 6*u + 14*u**2 - 8. Give 11*a(t) + 6*q(t). -3*t**2 + 2 Let s(d) = 5*d**2 - d - 1. Let g(y) = 5*y**2 - y - 1. What is 3*g(m) - 4*s(m)? -5*m**2 + m + 1 Let s(z) = 1. Let d(x) = 11*x + 3. What is -d(q) + 3*s(q)? -11*q Let r(j) = -j**3 - 1. Let q(i) = 7*i**3 + 6. Suppose -2*f = -f - 6. Calculate f*r(s) + q(s). s**3 Let a(b) = -4*b**3 - 5*b**2 - 4. Let i(v) = -v**3 - v**2 - 1. Determine 2*a(r) - 10*i(r). 2*r**3 + 2 Let z(m) = -2*m**2 - 2*m. Let l(q) = 2*q + 4. Let v(j) = 5*j + 9. Let r(b) = 7*l(b) - 3*v(b). Give 2*r(p) - z(p). 2*p**2 + 2 Let c(q) = -12*q**2 + 1. Let b(y) = 12*y**2 - 2. What is -2*b(t) - 3*c(t)? 12*t**2 + 1 Suppose -3*k = -0*k - 3. Let d(x) = -x - 2. Let f(g) = -1. Let q(o) = k*f(o) - d(o). Let p(i) = -i. Determine -3*p(z) - 2*q(z). z - 2 Let x(o) = 9*o**2 - 2*o - 2. Let a(k) = 9*k**2 - 2*k - 2. Give -6*a(u) + 5*x(u). -9*u**2 + 2*u + 2 Let d(x) = -1. Let v(o) = o**3 - o**2 - 13. Give 22*d(g) - 2*v(g). -2*g**3 + 2*g**2 + 4 Let h(x) = -3. Let i(u) = u + 4. Suppose 0 = z - 4*v - 2, -4*z + 4*v = 4. Give z*i(s) - 3*h(s). -2*s + 1 Let t(a) = -a**2 - a + 1. Let x = -45 + 40. Let s(j) = -4*j**2 - 6*j + 8. Give x*t(i) + s(i). i**2 - i + 3 Let c(w) = -2*w - 2. Let h(n) = -2*n**2 + n. Let t be h(-1). Let z(f) = 6*f + 6. Let r(x) = 7*x + 7. Let b(u) = -5*r(u) + 6*z(u). Determine t*b(a) - 2*c(a). a + 1 Let k(y) = -5*y**3 + 3*y**2 + 6. Let u(s) = s**3 - s**2 - 1. Calculate -k(j) - 3*u(j). 2*j**3 - 3 Suppose 0 = -3*t + y - 62, 0*y + 5*y = -20. Let w(b) = -6*b**2 - 5. Let q(u) = u**2 + 1. Calculate t*q(v) -
{ "pile_set_name": "DM Mathematics" }
(m). Round q to the nearest one thousand. -4000 Let t = 2948.00001503 + -2948. Round t to 5 decimal places. 0.00002 Let q = -1578 + 682. Let o = q - -896.0001247. What is o rounded to five dps? 0.00012 Let s = 0.88 + -0.3. Let f = s + 74.42. Let j = f + -74.9999943. What is j rounded to six decimal places? 0.000006 Let x(a) = a**2 - 22*a - 23. Let y be x(-17). Let q be (28900/2)/(-4*(-4)/y). Round q to the nearest one hundred thousand. 600000 Let v = -6.66 + 6.8654. Let h = v - 0.15. Round h to 2 dps. 0.06 Suppose 2764839 = 37*b + 470099. What is b rounded to the nearest 10000? 60000 Let h = -221498 + 221488.999925. Let v = 9 + h. What is v rounded to 5 dps? -0.00008 Let l = 0.0418 - -220.9582. Let i = 220.99999995 - l. What is i rounded to 7 decimal places? -0.0000001 Let i = 7567.3999878268 - 7567.4. What is i rounded to 6 dps? -0.000012 Let m = -4978.487 - -4976. Round m to one dp. -2.5 Let g = 6055 - 6070.11. Round g to 1 decimal place. -15.1 Let o = 411 + -97. Let c = 2538.4 - 2894. Let i = c + o. What is i rounded to the nearest ten? -40 Suppose -19*d + 24*d + 65 = 0. Let n = d - -18. Suppose n*f + f = 2940. What is f rounded to the nearest one hundred? 500 Suppose 4 = -4*l - 8, -g - 4*l = 18. Let s be 2/g - (-105929967)/(-99). What is s rounded to the nearest 100000? -1100000 Let i be (-1 - 67)/(5 + -3). Let h = i - -43. Let n be ((-708)/(-8))/(h/12). Round n to the nearest 10. 120 Let f = -164.9 + -294.9. Let x = -566 - -153. Let r = f - x. What is r rounded to the nearest integer? -47 Let g = 25851 - 25851.00026367. Round g to 5 decimal places. -0.00026 Let y = -73926.0060082 + 73926. Round y to 3 dps. -0.006 Let f = -169 + 293. Let q = -123.97519 + f. What is q rounded to three decimal places? 0.025 Let u = 104.5095 + -1.6045. Let o = u + -103. Let b = o + 0.209. Round b to 2 decimal places. 0.11 Let g(w) = -527*w + 67. Let i = -28 + 49. Let p be g(i). What is p rounded to the nearest one thousand? -11000 Let i = -0.202 - -0.2605. Let n = 0.247 - i. Let w = n - 0.19. What is w rounded to three decimal places? -0.002 Let m = 490 - -2710. Let f = m - 3200.00003609. Round f to 6 decimal places. -0.000036 Let g be ((-2533680)/2)/((-2)/12). Let b be (-50)/15*(-7 + (-33)/(-6)). Suppose -g - 29898960 = -b*n. What is n rounded to the nearest 1000000? 8000000 Let u(q) = -19 + 11 - 2*q + 127 + 15*q. Let k be u(-33). Round k to the nearest 10. -310 Let d = 288472 + -288471.9833373. What is d rounded to four dps? 0.0167 Let d = -80.4 + 8.6. Let u = d + -6.2. Let z = u - -77.877. Round z to two dps. -0.12 Let i = -402.90481086 - 0.06828914. Let w = 403 + i. Round w to two dps. 0.03 Let b = -114.71 - -1.71. Let s = b - -114.23. Let y = -1.2991 + s. Round y to three decimal places. -0.069 Let r = 148.1864 - -0.4136. What is r rounded to zero decimal places? 149 Suppose -63808 - 31136 = 3*b. Let z = b + 11548. What is z rounded to the nearest one thousand? -20000 Let z = 8287242.24400852 + -8287242. Let i = z + -0.244. Round i to six dps. 0.000009 Let o = 6810.9999995549 - 6811. What is o rounded to seven dps? -0.0000004 Let c(v) be the third derivative of -31*v**4/24 + 7*v**3/2 + 2*v**2 - 2*v. Let w be c(11). Round w to the nearest one hundred. -300 Let b = 20247.1096 + -20256. What is b rounded to 1 decimal place? -8.9 Let c(l) = 1260*l**2 + 6*l + 3. Let b(n) = -1262*n**2 - 7*n - 3. Let i(d) = -4*b(d) - 5*c(d). Let k be i(-1). What is k rounded to the nearest 100? -1300 Let x = 12825115.1058 - 12826343. Let t = 1228 + x. Round t to three decimal places. 0.106 Let p = -3.6013 - -0.6043. Let i = p + 4.10276. Let f = -1.1 + i. Round f to four dps. 0.0058 Let j(q) be the third derivative of 47*q**5/15 + 7*q**4/6 - 13*q**3/3 - q**2 - 51. Let s be j(-19). What is s rounded to the nearest one thousand? 67000 Let u(r) be the third derivative of -39*r**4/4 - 37*r**3/3 + 2*r**2 + 4*r. Let f be u(-16). What is f rounded to the nearest 100? 3700 Let h = 409211 + -198726. Suppose -5*v + h = -684515. Round v to the nearest one hundred thousand. 200000 Let s = -89.91 + -1128.49. Round s to the nearest ten. -1220 Let b = 212668 + -212661.12856. Let o = -6.9 + b. What is o rounded to 3 dps? -0.029 Let q(r) = 3*r**2 + r - 20. Let b be q(-4). Let i = b - 7. Let v(g) = 1885*g - 45. Let z be v(i). Round z to the nearest 10000. 30000 Let z = 63274 - 64732.16. Round z to the nearest ten. -1460 Let h = -80208.00000064333 - -80208. What is h rounded to seven decimal places? -0.0000006 Let f = -5895910265.975563413054 - -5895910266. Let t = f + -350.024434716946. Let w = 350 + t. Round w to 6 decimal places. 0.000002 Suppose 11*c = 21655436 + 22316151. Suppose -c = 2*f + 13862583. Round f to the nearest 100000. -8900000 Let n = -159533.5 - -128047. Round n to the nearest one thousand. -31000 Let r = 0.103 + 31.897. Let k = 32.09 - r. Let l = k - 0.089999. What is l rounded to five decimal places? 0 Suppose 2*n + 5 = -3*p, 11*p = 9*p + 2. Let v(c) = 432*c**2 + 4*c + 4. Let q be v(n). Let z be (q/9)/(3 + (-2524)/840). What is z rounded to the nearest 10000? -160000 Let w = -18160 + 18156.8233. Let u = -55.7473 + w. Let i = -59 - u. Round i to 2 decimal places. -0.08 Let c = -296125 - -131484. Round c to the nearest one thousand. -165000 Let i = -10360 + 10633.24. Let o = i + -297.1. Let q = -14.19 - o. Round q to zero dps. 10 Let v be 3 + (-1 - -2 - 0). Let m(u) = -3726*u - 134. Let n be m(-1). Let x be ((-3)/((-3)/n))/(v/50). Round x to the nearest 10000. 40000 Let o = -0.1273 + 0.058775. Round o to three dps. -0.069 Let h = -1.9096 - 459347.0904. Let j = h - -459349.213123. Let g = -0.213 + j. Round g to five dps. 0.00012 Let c = -38495 - -38162.03. Let h = 331 + c. What is h rounded to 1 decimal place? -2 Let r = -203.345 - -0.345. Let v = 202.928 + r. What is v rounded to 2 dps? -0.07 Let c = -0.252 - 24.548. Let f = c + 24.799976. What is f rounded to 5 decimal places? -0.00002 Suppose 98*h + 14841022 = 96*h. Let f = h - -4190511. Round f to the nearest 1000000. -3000000 Let p = -2.39303035 + 2.393. Round p to six decimal places. -0.00003 Let k = 1377.76 + 1105.87. Let f = 2471 - k. What is f rounded to 1 dp? -12.6 Let h = -12249.3137 + 12248. What is h rounded to two dps? -1.31 Let m(b) = 9597*b + 3212. Let d be m(-3). Round d to the nearest ten thousand. -30000 Let x = -759.573 + -0.427. Let i = x - -759.9279. Round i to 2 dps. -0.07 Let f = 4746 + -4814.02. Let b = -0.44 - -67.44. Let x = f + b. Round x to one decimal place. -1 Let m = -201.099573 + 201.1. Round m to 5 dps. 0.00043 Let m = 11.31 - 8.459. What is m rounded to the nearest 10? 0 Let g = 0.059 + 37.041. Let s = 172.2 - 164. Let i = s - g. Round i to 0 dps. -29 Let n = -2603.5 - -2473.21. What is n rounded to the nearest ten? -130 Let n = -70 + 72. Let l be n - 0 - (-8 - -3). Let k be -2*(-1)/l - 919836/126. Round k to the nearest one thousand. -7000 Let b = 1199 - 1199.1291. Let c = 0.1289381 + b. Round c to five decimal places. -0.00016 Let v = 26079.8 + -26034.7446. Let x = -45 + v. Let w = x - 0.0121. What is w rounded to three decimal places? 0.043 Let j = 385 + -376. Suppose -15*h = -j*h - 69600. What is h rounded to the nearest 100? 11600 Let f(x) = x**2 + 842. Let a be f(0). Let i be (-3 + 4 - (-16 - -13)) + -1. Suppose -i*s + a = -5*s. What is s rounded to the nearest 100? -400 Let k = -179.2 - 3290.8. Let m = -3525.84 - k. Let n = -52 - m. What is n rounded to one decimal place? 3.8 Let t = -0.165348 + 1.678218. Let w = t - 1.52. What is w rounded to 4 decimal places? -0.0071 Let w = -2149.61 - 35.39. Let c = -2185.923 - w. What is c rounded to 1 decimal place? -0.9 Let n(m) = -39707*m**3 - 4*m**2 - 40*m - 23. Let z be n(7). What is z rounded to the nearest 1000000? -14000000 Suppose -w - 429196 = 2*k, 86281 = 3*k + 2*w + 730073. Round k to the nearest 10000. -210000 Let r be 84/(-462) + 20988004/22. Round r to the nearest one hundred thousand. 1000000 Let g = 11101.653 + -11094. Let l = -0.918 - -2.441. Let u = l - g. What is u rounded to 0 dps? -6 Let i = -400659270 - -400659168.9999788. Let m = -101 - i. Round m to 6 dps. 0.000021 Let l(d) = -d**3 + 10*d**2 - 6*d - 11. Let a be l(5). Let g be ((-120000)/7)/(4/a). Round g to the nearest one hundred thousand. -400000 Let z be (-2)/(275/135
{ "pile_set_name": "DM Mathematics" }
Solve -11*v - 8*v + 4*v - 60 = 0 for v. -4 Solve 136*m = 75*m + 67*m - 36 for m. 6 Solve 2619*s + 30 = 2624*s for s. 6 Solve 646*z = -740*z + 555*z + 20775 for z. 25 Solve 215*m = 77*m - 191*m + 5922 for m. 18 Solve 174*r + 3706 = -r - 43*r for r. -17 Solve -39*q + 327*q + 34*q - 8050 = 0 for q. 25 Solve 509*w - 575 = 8004 - 1962 for w. 13 Solve -270 = -102*h + 84*h for h. 15 Solve -6353*i = -6336*i + 34 for i. -2 Solve -38 + 2 + 3 = 11*l for l. -3 Solve 715 = 677*p - 2138 - 532 for p. 5 Solve 39*f - 1293 = -630 for f. 17 Solve -3402 = -1148*n + 1337*n for n. -18 Solve -8*d - 87 = 51*d + 31 for d. -2 Solve 80*p + 134 = -34*p - 322 for p. -4 Solve 0 = -0*k + 46*k - k - 45 for k. 1 Solve 448 = 47*l + 845 - 444 for l. 1 Solve 69*a - 23*a = -45*a - 1729 for a. -19 Solve 250*v = -609 - 891 for v. -6 Solve -368*j + 377*j = 27 for j. 3 Solve -3*c = -44*c - 2*c - 344 for c. -8 Solve 23*b - 63*b + 913 = 513 for b. 10 Solve 10 = 84*j - 1842 - 80 for j. 23 Solve -17*c - 20 = -42*c + 15*c for c. 2 Solve -546*k + 1019*k + 297 = 506*k for k. 9 Solve -35*o + 192 = 24*o - 43*o for o. 12 Solve -36*p + 90 - 23 = -113 for p. 5 Solve 209 = -255*f - 46 for f. -1 Solve 216 = 130*t + 86*t for t. 1 Solve 568*p + 143 = -756*p + 12059 for p. 9 Solve -200*c + 54 = -209*c for c. -6 Solve -86*y - 24123 = 1333*y for y. -17 Solve 0*d - 89*d + 1120 = 23*d for d. 10 Solve 6*p - 30 = -121 - 17 for p. -18 Solve 2*r = 245*r + 5886 + 675 for r. -27 Solve 162 = 178*r - 151*r for r. 6 Solve 153 = 8106*o - 8115*o for o. -17 Solve 0 = 17128*f - 17109*f + 209 for f. -11 Solve -28*k - 44 = -39*k for k. 4 Solve -10*o + 26445 = 26535 for o. -9 Solve -62*i - 62*i = -116*i + 16 for i. -2 Solve w + 667 - 685 = 0 for w. 18 Solve -9969*j + 9978*j + 108 = 0 for j. -12 Solve -16*c - 6*c = 931 - 975 for c. 2 Solve 23*t = 3*t + 160 for t. 8 Solve 0 = 21*v - 88453 + 88999 for v. -26 Solve 16 = 6*b + 10 + 30 for b. -4 Solve 11*x + 15101 = 14969 for x. -12 Solve s - 117*s + 2004 - 3048 = 0 for s. -9 Solve -36*b + 253*b = 5425 for b. 25 Solve 129 + 131 = -26*r + 52*r for r. 10 Solve -207*d - 213*d = 287*d - 3535 for d. 5 Solve -116*g + 4*g - 288 - 1056 = 0 for g. -12 Solve -110*b = 61*b + 513 for b. -3 Solve 131*n - 383 = 186*n - 53 for n. -6 Solve -252*n - 610*n = -135*n + 2181 for n. -3 Solve -237*g - 1125 = -112*g for g. -9 Solve 24*i + 3*i = 24*i - 12 for i. -4 Solve -51*p = -103*p + 40*p + 48 for p. 4 Solve -1078 + 770 = -28*h for h. 11 Solve 1154*z + 936 = 1115*z for z. -24 Solve -72*g - 30 - 295 = 323 for g. -9 Solve 1055*m = 1203*m - 148 for m. 1 Solve 2*o + 2*o - 61 = -101 for o. -10 Solve -107*s - 214 - 107 = 0 for s. -3 Solve -113*b + 56664 = 59376 for b. -24 Solve 0 = 32*j + 13 - 45 for j. 1 Solve 2680 = 397*c - 6054 for c. 22 Solve 92 = -25*o - 33 for o. -5 Solve -133*m + 902 = 92*m - 1798 for m. 12 Solve -90760*b = -90778*b - 432 for b. -24 Solve -a - 366 = 16*a - 417 for a. 3 Solve 122*v - 1053 + 3493 = 0 for v. -20 Solve -3114 = 203*z + 287 + 253 for z. -18 Solve 53*l - 132*l = -711 for l. 9 Solve -242*m + 3053 = 360*m - 559 for m. 6 Solve 17*j - 61 = -25*j - 19*j for j. 1 Solve -12*i - 103 = 12*i + 233 for i. -14 Solve 52 + 79 = -14*o - 79 for o. -15 Solve -3211*t = -3300*t - 3115 for t. -35 Solve 0 = 30*r - 142*r - 1680 for r. -15 Solve 15*r - 14*r = -12*r + 39 for r. 3 Solve 134*t - 53*t - 1 + 1 = 0 for t. 0 Solve 1377*n = 1345*n + 224 for n. 7 Solve -28*n = -241*n + 1922 + 634 for n. 12 Solve -6729 + 1729 = 427*h + 1832 for h. -16 Solve 3*s - 10 - 1 = 1 for s. 4 Solve -62*t + 53 = -815 for t. 14 Solve -3308*i + 3370*i + 186 = 0 for i. -3 Solve -18969 + 17877 = -39*o for o. 28 Solve -420*f = -1164*f - 28781 + 7205 for f. -29 Solve -68*b = -571 + 125 - 506 for b. 14 Solve 180*q + 2856 + 2867 + 37 = 0 for q. -32 Solve 456085*c = 456083*c + 42 for c. 21 Solve 91*l - 478 = 30*l + 1108 for l. 26 Solve -39*d + 95*d = 15*d + 574 for d. 14 Solve 745*a - 515*a = -690 for a. -3 Solve 6*m = -17*m - 46 for m. -2 Solve 1220 - 1207 = -13*o for o. -1 Solve 58*v - 59 - 185 = 336 for v. 10 Solve 1140 = -4917*b + 4727*b for b. -6 Solve 96*v = 103*v - 156 - 5 for v. 23 Solve 56*x + 86*x = 37*x - 2310 for x. -22 Solve 32*j - 15855 = -16655 for j. -25 Solve -81*c = -84*c - 3 for c. -1 Solve 4160*k = 3678*k + 8676 for k. 18 Solve -429*m - 10863 + 1425 = 0 for m. -22 Solve -251*i + 15 = -250*i for i. 15 Solve 787*q - 8485 + 3957 = 5703 for q. 13 Solve 7*n - 177 - 15 = -5*n for n. 16 Solve -15*o - 122*o - 229 = 182 for o. -3 Solve -661 = 231*t - 3895 for t. 14 Solve 18*f + 22*f + 333 = 3*f for f. -9 Solve -28597 + 29237 = -32*o for o. -20 Solve 2*x + 4*x - 16*x = 20*x for x. 0 Solve 492 = -34*p + 10*p - 17*p for p. -12 Solve 8319*b + 2610 = 8464*b for b. 18 Solve -19*k - 7*k - 6151 = -5319 for k. -32 Solve 1139 - 243 = -112*z for z. -8 Solve -11*y + 171 = -74*y + 6*y for y. -3 Solve 196*j + 18095 = 15939 for j. -11 Solve -29*k + 32*k - 208 = -13*k for k. 13 Solve 2491*f = 2485*f + 36 for f. 6 Solve -36 - 32 = -11*g + 130 for g. 18 Solve -570*a = -545*a + 350 for a. -14 Solve 80 = 11*y + 101 - 373 for y. 32 Solve 359 + 714 = 79*w - 349 for w. 18 Solve 177*b = -189 + 366 for b. 1 Solve -42*n = 75*n - 468 for n. 4 Solve 274*k = 1026 + 70 for k. 4 Solve 546*m - 10426 - 4880 + 2748 = 0 for m. 23 Solve 0 = 2199*c - 2577 - 30408 for c. 15 Solve 0 = -33*t + 128*t - 61*t + 340 for t. -10 Solve -25 + 5 = -5*k for k. 4 Solve -16*p - 15*p - 53*p - 1008 = 0 for p. -12 Solve -76*h - 68*h + 265 = 265 for h. 0 Solve -545 + 592 = 31*t - 728 for t. 25 Solve -2*m - 12 = -6*m + 4 for m. 4 Solve 1829*h + 4617 = -31963 for h. -20 Solve -1244*b = -1255*b + 55 for b. 5 Solve -61*x = -7456 + 7456 for x. 0 Solve -640 = -92*s + 4 for s. 7 Solve -231*k + 323*k + 276 = 0 for k. -3 Solve 64*t - 247 = 457 for t. 11 Solve -9643*z + 120 = -9658*z for z. -8 Solve 12*t - 486876 = -487152 for t. -23 Solve -19*w + 172 = 438 for w. -14 Solve -414*n + 422*n + 14 + 106 = 0 for n. -15 Solve -1880*d = -1771*d + 1308 for d. -12 Solve -812 - 13 = -75*i for i. 11 Solve 101 + 1429 = -102*s for s. -15 Solve -27 = -4*v - 12*v - 75 for v. -3 Solve -11*v - 580317 = -580130 for v. -17 Solve -47*y - 20591 = -20826 for y. 5 Solve -63390 = -11*j - 63643 for j. -23 Solve 41*j - 124*j = -577*j for j. 0 Solve -6*u - 69 + 33 = 0 for u. -6 Solve 128 = -8*n + 232 for n. 13 Solve 825*i - 403*i = -6330 for i. -15 Solve -15*a - 456 = -591 for a. 9 Solve 0 = 92*k + 759 - 2231 for k. 16 Solve -41 = -70*k + 4*k - 569 for k. -8 Solve 44*h - 22*h + 1272 = 181*h for h. 8 Solve 78*v - 37*v = 32*v + 31*v for v. 0 Solve -18*j + 57 = -93 + 6 for j. 8 Solve 10*o + 3*o - 4466 = 167*o for o. -29 Solve -142*o = -206 - 225 + 5 for o. 3 Solve -4048*q + 4061*q + 389 + 40 = 0 for q. -33 Solve -48013 + 51523 = -117*t for t. -30 Solve 2110*u = 2128*u - 315 + 99 for u. 12 Solve 170 + 475 = -72*d - 1155 for d. -25 Solve -6 + 278 = 13*n + 4*n for n. 16 Solve 3 + 0 = -x + 1 for x. -2 Solve -15*a - 699 = -63*a - 123 for a. 12 Solve 7*v = 22*v - 4 - 71 for v. 5 Solve 53*i + 6375 - 6004 = 0 for i. -7 Solve 391869*j = 391943*j + 740 for j. -10 Solve -222 + 54 = 14*q for q. -12 Solve -17*s - 56 = -41*s + 64 for s. 5 Solve 46*a - 175 = 193 for a. 8 Solve 70*q + 162*q + 3944 = 0 for q. -17 Solve 576*l = 1887 - 159 for l. 3 Solve -39*h = -56 + 251 for h. -5 Solve -2488*f + 12216 = -2997*f for f. -24 Solve -217 - 93 - 31 = 31*w for w. -11 Solve 103*r + 2143 = 3379 for r. 12 Solve -19*a - 129*a - 18*a + 2656 = 0 for a. 16 Solve -2022*n + 2119*n = -2037 for n. -21 Solve -15*x + 23 = -4 - 18 for x. 3 Solve -320*u - 416 = -372*u for u. 8 Solve 37*v - 1965858 = -1965747 for v. 3 Solve -1425*f = -1405*f - 260 for f. 13 Solve 287 = 34*q + 185 for q. 3 Solve 204 = 31*h - 83*h - 50*h for h. -2 Solve 137*s + 298 = 203*s + 826 for s. -8 Solve 132*z - 127*z + 104 = 4 for z. -20 Solve 76*r = 100*r + 266 - 2 for r. -11 Solve 275 = 2440*j - 2495*j for j. -5 Solve -9*p + 245 = -49*p - 315 for p. -14 Solve -3081 = 73*t - 4322 for t. 17 Solve 4561 = 9*p + 4579 for p. -2 Solve -125 + 39 = 111*l + 136 for l. -2 Solve -240 = -21*m + 68*m - 27*m for m. -12 Solve -221*c = -771*c + 13200 for c. 24 Solve -97*n - 117*n = -3852 for n. 18 Solve -4088 = 319*s + 532 + 6864 for s. -36 Solve -214*d = -240*d - 286 for d. -11
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {l: 1, a: 2, z: 4}. 6/35 What is prob of picking 2 m, 1 w, and 1 f when four letters picked without replacement from {g: 2, f: 8, m: 4, w: 3}? 36/595 Two letters picked without replacement from zmmmzzzozzlomcmj. What is prob of picking 1 c and 1 m? 1/24 Four letters picked without replacement from {d: 4, y: 4, i: 9}. What is prob of picking 3 d and 1 y? 4/595 What is prob of picking 3 w when three letters picked without replacement from wrrrwrwwrrrwr? 5/143 Calculate prob of picking 3 z and 1 m when four letters picked without replacement from {m: 1, w: 10, y: 2, z: 3, l: 3}. 1/3876 Four letters picked without replacement from {w: 2, u: 2, l: 1, b: 2, a: 1}. What is prob of picking 1 w, 2 u, and 1 b? 2/35 Three letters picked without replacement from kxlnxxxllkkkkll. What is prob of picking 1 k, 1 l, and 1 x? 20/91 What is prob of picking 2 n and 1 q when three letters picked without replacement from {q: 4, k: 1, c: 3, n: 5}? 20/143 Two letters picked without replacement from {q: 3, j: 5, h: 1}. What is prob of picking 1 h and 1 j? 5/36 What is prob of picking 1 i, 1 f, 1 t, and 1 h when four letters picked without replacement from {t: 1, f: 2, i: 2, h: 4, j: 1}? 8/105 Calculate prob of picking 2 m when two letters picked without replacement from {o: 2, r: 8, m: 4}. 6/91 Calculate prob of picking 1 d, 1 w, and 1 m when three letters picked without replacement from eweeedmtwtyt. 1/110 Three letters picked without replacement from {m: 3, h: 2, d: 1, p: 1}. Give prob of picking 1 d, 1 h, and 1 m. 6/35 What is prob of picking 1 b and 2 e when three letters picked without replacement from {k: 1, n: 1, b: 3, e: 2}? 3/35 Calculate prob of picking 1 l, 1 y, and 1 x when three letters picked without replacement from xfwoywlx. 1/28 What is prob of picking 2 e and 1 i when three letters picked without replacement from iiiiiiqieyeiqqiieq? 5/136 Three letters picked without replacement from ppukuususprkhkkuup. What is prob of picking 1 s, 1 p, and 1 h? 1/102 Two letters picked without replacement from {c: 3, m: 1, l: 1, f: 2}. Give prob of picking 1 m and 1 f. 2/21 What is prob of picking 2 s when two letters picked without replacement from {b: 3, i: 2, s: 9, j: 4}? 4/17 Calculate prob of picking 2 w when two letters picked without replacement from {z: 1, w: 12}. 11/13 What is prob of picking 1 b, 1 i, and 1 p when three letters picked without replacement from {i: 3, m: 1, r: 5, p: 1, b: 1}? 1/55 What is prob of picking 2 r when two letters picked without replacement from {r: 3, x: 3, u: 2}? 3/28 What is prob of picking 1 v and 2 p when three letters picked without replacement from pvmpvvcmscpcvccvvvvs? 2/95 What is prob of picking 1 v, 1 e, 1 n, and 1 x when four letters picked without replacement from enxnnmeneemvtmtmemn? 25/3876 What is prob of picking 1 l and 1 a when two letters picked without replacement from {a: 3, r: 1, l: 1}? 3/10 Calculate prob of picking 2 g when two letters picked without replacement from jjggjjjjj. 1/36 What is prob of picking 1 b, 1 f, and 1 u when three letters picked without replacement from vfbbfufvbbv? 4/55 Two letters picked without replacement from pmzzpmzztppzpmpzz. Give prob of picking 1 z and 1 t. 7/136 Calculate prob of picking 1 h, 1 l, and 2 r when four letters picked without replacement from {g: 2, l: 1, h: 1, r: 2, q: 1}. 1/35 What is prob of picking 1 f and 1 h when two letters picked without replacement from {h: 5, g: 1, f: 6, u: 7}? 10/57 What is prob of picking 1 u and 1 v when two letters picked without replacement from {o: 1, j: 1, u: 1, v: 1, a: 1}? 1/10 Four letters picked without replacement from nnnnnnnnnnncnnn. What is prob of picking 4 n? 11/15 What is prob of picking 3 r when three letters picked without replacement from {j: 1, r: 4, f: 2, u: 1}? 1/14 Two letters picked without replacement from {j: 1, i: 2, b: 1}. Give prob of picking 1 i and 1 j. 1/3 What is prob of picking 4 w when four letters picked without replacement from {w: 10}? 1 Calculate prob of picking 1 i, 2 h, and 1 m when four letters picked without replacement from {h: 2, i: 4, x: 3, m: 2}. 4/165 Calculate prob of picking 2 a when two letters picked without replacement from aaaqaaaqaaaaqaaaaa. 35/51 Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {k: 1, h: 3, w: 6, a: 2, q: 1}. 2/13 Three letters picked without replacement from {l: 2, r: 2, f: 5, x: 5, k: 5}. What is prob of picking 1 f, 1 r, and 1 x? 50/969 Calculate prob of picking 3 c and 1 g when four letters picked without replacement from {c: 3, g: 17}. 1/285 Three letters picked without replacement from ffukkfpupkpufk. Give prob of picking 1 f and 2 u. 3/91 What is prob of picking 2 n and 1 r when three letters picked without replacement from ininnbnebnbynry? 3/91 Three letters picked without replacement from pxhhphph. Give prob of picking 2 p and 1 h. 3/14 Four letters picked without replacement from {x: 5, j: 2, c: 3, w: 2, e: 3}. What is prob of picking 2 c, 1 j, and 1 e? 6/455 Two letters picked without replacement from bbbbbbbbbxbbbbb. Give prob of picking 2 b. 13/15 Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {q: 1, x: 2, i: 3, t: 1}. 1/7 Four letters picked without replacement from {b: 2, f: 8, w: 2, m: 3}. Give prob of picking 1 w, 1 m, and 2 f. 8/65 What is prob of picking 3 k when three letters picked without replacement from {k: 3, l: 2, e: 2, w: 2, c: 4}? 1/286 Two letters picked without replacement from {o: 1, y: 1, q: 4, j: 1, f: 1}. Give prob of picking 1 q and 1 y. 1/7 Four letters picked without replacement from {i: 2, f: 5, a: 1, m: 1}. Give prob of picking 2 f and 2 i. 5/63 Calculate prob of picking 4 p when four letters picked without replacement from ppipppippp. 1/3 What is prob of picking 1 c and 1 x when two letters picked without replacement from {x: 3, c: 5}? 15/28 What is prob of picking 1 e and 3 b when four letters picked without replacement from {m: 4, b: 8, e: 1}? 56/715 What is prob of picking 2 h when two letters picked without replacement from {h: 2, t: 1, l: 1}? 1/6 Three letters picked without replacement from {m: 5, z: 8}. What is prob of picking 3 z? 28/143 What is prob of picking 1 j and 3 t when four letters picked without replacement from {j: 5, t: 5}? 5/21 What is prob of picking 2 h when two letters picked without replacement from vvvvvvvvvhhvv? 1/78 Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {n: 1, o: 2, b: 2, i: 4, c: 6, l: 3}. 2/51 Two letters picked without replacement from xgxjzvzgxvjxzxgxdg. Give prob of picking 1 z and 1 g. 4/51 Two letters picked without replacement from {s: 3, z: 3, u: 10, l: 3}. What is prob of picking 2 l? 1/57 Two letters picked without replacement from {b: 1, j: 4, m: 2, f: 4}. What is prob of picking 1 b and 1 m? 2/55 Calculate prob of picking 1 x, 2 o, and 1 f when four letters picked without replacement from {x: 2, f: 5, o: 4}. 2/11 Three letters picked without replacement from lollotttl. Give prob of picking 2 o and 1 t. 1/28 Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {f: 1, w: 1, l: 2, q: 1}. 1/10 Two letters picked without replacement from iiuytwj. What is prob of picking 1 t and 1 y? 1/21 What is prob of picking 2 b and 1 z when three letters picked without replacement from {b: 4, x: 3, h: 7, z: 4}? 1/34 Four letters picked without replacement from {m: 8, j: 8, e: 4}. Give prob of picking 4 e. 1/4845 Calculate prob of picking 1 p and 1 s when two letters picked without replacement from psppppppspppsppp. 13/40 Two letters picked without replacement from fzffffffffzz. Give prob of picking 2 z. 1/22 Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnnnbnb. 36/55 Calculate prob of picking 4 k when four letters picked without replacement from {p: 5, k: 14}. 1001/3876 Two letters picked without replacement from {a: 3, f: 2, k: 6, t: 6, u: 3}. What is prob of picking 2 u? 3/190 What is prob of picking 1 w, 1 g, and 1 a when three letters picked without replacement from {b: 1, a: 3, w: 1, g: 1, k: 1}? 3/35 Calculate prob of picking 3 z when three letters picked without repla
{ "pile_set_name": "DM Mathematics" }
r letters picked without replacement from {h: 9}. Give prob of sequence hhhh. 1 Three letters picked without replacement from {a: 2, m: 3}. What is prob of sequence mmm? 1/10 What is prob of sequence zz when two letters picked without replacement from zfzffffz? 3/28 Two letters picked without replacement from {a: 9, t: 4, i: 4, d: 3}. Give prob of sequence da. 27/380 Calculate prob of sequence vmpi when four letters picked without replacement from {i: 1, p: 1, s: 1, m: 1, v: 1}. 1/120 Four letters picked without replacement from lllrhrglgrhrgrr. Give prob of sequence hlhl. 1/1365 Four letters picked without replacement from {d: 11, m: 1, r: 6}. Give prob of sequence mddd. 11/816 Calculate prob of sequence tz when two letters picked without replacement from {z: 1, t: 1, b: 1}. 1/6 What is prob of sequence nt when two letters picked without replacement from nqotgqqqsssssso? 1/210 What is prob of sequence svqh when four letters picked without replacement from hhsqhvshvhhhhh? 3/2002 Three letters picked without replacement from {j: 1, w: 1, r: 5, x: 2, m: 2, h: 2}. Give prob of sequence wrr. 5/429 Four letters picked without replacement from {p: 9, l: 2, x: 2}. What is prob of sequence lxxl? 1/4290 Three letters picked without replacement from {h: 1, m: 1, e: 3, r: 1, y: 2, w: 3}. Give prob of sequence eye. 2/165 What is prob of sequence hw when two letters picked without replacement from lwwlllwlwwhwlwllwh? 8/153 Calculate prob of sequence wmd when three letters picked without replacement from {a: 1, w: 2, m: 10, z: 2, d: 1, v: 2}. 5/1224 What is prob of sequence zz when two letters picked without replacement from {z: 3, i: 1}? 1/2 What is prob of sequence ffc when three letters picked without replacement from {g: 4, c: 2, f: 3}? 1/42 What is prob of sequence lls when three letters picked without replacement from {s: 2, l: 6}? 5/28 What is prob of sequence clc when three letters picked without replacement from culfcllcllc? 2/33 Two letters picked without replacement from {v: 1, q: 9, f: 1, l: 1, y: 3, i: 3}. What is prob of sequence iy? 1/34 Two letters picked without replacement from {w: 7, o: 2, b: 4}. Give prob of sequence ow. 7/78 Two letters picked without replacement from sst. Give prob of sequence st. 1/3 Two letters picked without replacement from {f: 4, q: 2, m: 1, y: 1, l: 1}. What is prob of sequence mq? 1/36 Two letters picked without replacement from {u: 8, f: 2, n: 8}. What is prob of sequence uf? 8/153 Two letters picked without replacement from rrx. What is prob of sequence xr? 1/3 Three letters picked without replacement from {o: 3, g: 4}. What is prob of sequence ggo? 6/35 Calculate prob of sequence udqq when four letters picked without replacement from uqqqduu. 3/140 What is prob of sequence xe when two letters picked without replacement from {j: 2, e: 3, x: 8, b: 3}? 1/10 Four letters picked without replacement from {i: 7}. Give prob of sequence iiii. 1 Two letters picked without replacement from {b: 1, a: 8, i: 4}. Give prob of sequence ii. 1/13 Calculate prob of sequence gnn when three letters picked without replacement from gioonnbigngg. 1/55 Four letters picked without replacement from bvvvvbbbbbbbbbbbbb. Give prob of sequence bvvb. 91/3060 Calculate prob of sequence nn when two letters picked without replacement from ggngnnnggn. 2/9 What is prob of sequence vva when three letters picked without replacement from wvnwaawwwvnaannvw? 1/170 Calculate prob of sequence ls when two letters picked without replacement from sildf. 1/20 Three letters picked without replacement from {v: 4, d: 6}. Give prob of sequence vdv. 1/10 Four letters picked without replacement from fhrgjfxr. What is prob of sequence gxfx? 0 What is prob of sequence lee when three letters picked without replacement from zeueuuleelu? 4/165 Four letters picked without replacement from lccccctuclluhctcc. What is prob of sequence htlu? 1/4760 Three letters picked without replacement from vcccccvvcccvvvcv. What is prob of sequence vvv? 1/16 What is prob of sequence hhqq when four letters picked without replacement from hhhhhqhhqh? 1/45 Two letters picked without replacement from {j: 3, o: 1, x: 2, r: 8, m: 2, e: 1}. What is prob of sequence mx? 1/68 Four letters picked without replacement from {u: 5}. Give prob of sequence uuuu. 1 Four letters picked without replacement from {w: 4, b: 5, k: 8}. Give prob of sequence wbbw. 1/238 What is prob of sequence uuk when three letters picked without replacement from {k: 1, r: 1, u: 2}? 1/12 What is prob of sequence xn when two letters picked without replacement from ddpnarpadxadnddddd? 1/153 Calculate prob of sequence ss when two letters picked without replacement from shspll. 1/15 Calculate prob of sequence vv when two letters picked without replacement from {v: 2, x: 9}. 1/55 What is prob of sequence gg when two letters picked without replacement from gviauvttgvvtua? 1/91 Three letters picked without replacement from sssssssssmssm. What is prob of sequence mms? 1/78 Calculate prob of sequence ysys when four letters picked without replacement from {y: 3, s: 2}. 1/10 Four letters picked without replacement from geexxlexggegggeexe. What is prob of sequence ggxg? 1/153 What is prob of sequence ve when two letters picked without replacement from {v: 1, y: 2, f: 8, j: 1, e: 1, o: 3}? 1/240 Calculate prob of sequence jj when two letters picked without replacement from jjjjjjjmjmm. 28/55 Three letters picked without replacement from rgiiruiour. Give prob of sequence uig. 1/120 Calculate prob of sequence gdfg when four letters picked without replacement from {w: 1, u: 1, d: 2, f: 2, l: 4, g: 4}. 2/1001 Four letters picked without replacement from {t: 2, o: 2}. What is prob of sequence otot? 1/6 Two letters picked without replacement from cmbbcbbwbmb. Give prob of sequence bc. 6/55 Three letters picked without replacement from pspsvkbpvvpepbepeevs. What is prob of sequence bsp? 1/190 Four letters picked without replacement from {i: 1, k: 1, u: 5, q: 7, r: 4, c: 2}. Give prob of sequence iqkq. 7/19380 Calculate prob of sequence gf when two letters picked without replacement from rurvfuccrrgru. 1/156 Three letters picked without replacement from {c: 7, m: 6, s: 2}. Give prob of sequence smc. 2/65 Four letters picked without replacement from dvwvgcdcvccgw. What is prob of sequence vdwg? 1/715 What is prob of sequence kq when two letters picked without replacement from kkqkaqakkqkkaakk? 9/80 Four letters picked without replacement from {b: 1, v: 14, m: 2, e: 2}. Give prob of sequence vevv. 91/1938 Two letters picked without replacement from {r: 2, x: 3, b: 1, f: 1}. What is prob of sequence bf? 1/42 Three letters picked without replacement from {y: 4, u: 6, s: 2, i: 1, x: 4}. Give prob of sequence suu. 1/68 Two letters picked without replacement from {l: 3, v: 1, m: 3, q: 3}. Give prob of sequence vq. 1/30 What is prob of sequence qqq when three letters picked without replacement from qqqqqqqqq? 1 Two letters picked without replacement from {d: 2, y: 1, s: 7, t: 3, r: 4}. Give prob of sequence ss. 21/136 What is prob of sequence jvj when three letters picked without replacement from vvvpvpjppj? 1/90 Two letters picked without replacement from {h: 1, u: 2, d: 3, q: 1, m: 2, c: 3}. What is prob of sequence dd? 1/22 Three letters picked without replacement from {d: 1, r: 1, c: 1, h: 1, a: 2, j: 1}. Give prob of sequence jdc. 1/210 What is prob of sequence qxx when three letters picked without replacement from qxqqqqqqqqqxqqqqqq? 1/153 What is prob of sequence jrrj when four letters picked without replacement from {r: 2, j: 2}? 1/6 Three letters picked without replacement from {b: 2, t: 1, e: 1, s: 1}. What is prob of sequence tbs? 1/30 What is prob of sequence eqq when three letters picked without replacement from {e: 3, q: 4, h: 9, j: 2}? 1/136 Four letters picked without replacement from laattlalllallt. Give prob of sequence alta. 3/286 Four letters picked without replacement from hkakhyb. What is prob of sequence bhyb? 0 What is prob of sequence sq when two letters picked without replacement from mmsmqmmmmmmmvmmmv? 1/272 Two letters picked without replacement from hbbkbkhk. Give prob of sequence bk. 9/56 Calculate prob of sequence ww
{ "pile_set_name": "DM Mathematics" }
k)*(-k + 15*k + 5*k) as t + y*k**2 + s*k and give y. -133 Express (18*h - 2*h - h)*(-3 + h**2 + 3)*(-4 - 24*h + 4) as s*h + r*h**2 + t + w*h**4 + q*h**3 and give w. -360 Rearrange (30*t**2 + 88*t**2 - 59*t**2)*(-11 - 15 - 9) to the form i + s*t + p*t**2 and give p. -2065 Rearrange 800 - 800 - 163*m - 23*m - 269*m to p + v*m and give v. -455 Rearrange (3*c - 8*c - 38*c)*(0*c + c + c)*(-5*c + 5*c - 2*c) to u*c**2 + f*c**3 + m + q*c and give f. 172 Rearrange (2 - 2 + 3)*(-2*q**2 + q**2 + 2*q**2) + 2*q**2 + 2*q**2 - q**2 to the form x*q + r*q**2 + m and give m. 0 Rearrange (87*y + 157*y + 140*y)*(2 - 3 - 1)*(-5*y + 3*y + 3*y) to the form j*y + s + n*y**2 and give n. -768 Express -8*l**2 - 73*l**3 + 72*l**3 + 8*l**2 - 13 in the form m + j*l**2 + h*l + f*l**3 and give m. -13 Express 45*h + 115 + 44*h + 5*h**2 - 44 - 89*h as o*h**2 + i + p*h and give o. 5 Rearrange -2*x - 17*x + x**2 + 12*x**3 + 3*x - 10*x - 11*x**3 to s*x**2 + z + n*x**3 + o*x and give o. -26 Express 431*n**2 + 434*n**2 - 4*n - 859*n**2 + 2*n + 36*n**3 as p*n + t + m*n**3 + o*n**2 and give t. 0 Rearrange -54 + s**3 + 67 + 3*s**2 - 5*s + 0*s**2 - 5*s**2 to z + w*s**3 + x*s**2 + q*s and give z. 13 Express 106*n**2 + 187*n**2 + 33*n**2 - 60*n**2 as z + b*n**2 + v*n and give v. 0 Rearrange (6 + 20 + 8*u - 10)*(0 + 2 - 5) to i + f*u and give f. -24 Express -2*l - 4 + 2*l - 5*l + l + 3*l in the form a + p*l and give a. -4 Rearrange -22*c - 7*c**3 + 6*c**3 - 420*c**2 - 1 - 2 + 422*c**2 - c**4 to the form q*c**3 + k*c**2 + s + z*c + f*c**4 and give z. -22 Express -5*o**2 + 107*o**3 + 3*o**2 - 48*o**3 in the form i + k*o + t*o**3 + p*o**2 and give k. 0 Rearrange 20 - 3*y - 31 + 10*y to k*y + h and give h. -11 Rearrange (25*z - 4*z + 4*z)*(1 - 4 - 2)*(1 + 0 + 1) to o*z + q and give o. -250 Rearrange 2*t**3 - 75*t**4 - t**3 - 13 - 34*t - 76*t**4 + 153*t**4 + 12 to l*t**4 + n*t**3 + m + d*t**2 + o*t and give o. -34 Rearrange (-528 + 23*x + 528)*((3*x - 6*x + 4*x)*(2 - 3 + 3) - x + 0*x + 16*x) to the form y*x**2 + c*x + s and give y. 391 Rearrange -2 - 21*s - 5*s**3 + 20*s - 2*s**2 + 15*s**3 to v*s + x*s**3 + d + i*s**2 and give i. -2 Rearrange -80791 + 50*d**2 - d**3 + 80791 + d to h*d**2 + s*d**3 + l + n*d and give s. -1 Rearrange 11*k - 45 + 10*k + 50 + 11*k - 8*k to the form z + x*k and give x. 24 Rearrange ((-1 + 1 + 3*v)*(5 + 3 - 5) + 2*v + 2 - 2 + v + v + v)*(1 - 5 + 2)*(-2 + 8 + 4) to n*v + h and give n. -280 Rearrange (3*d + 0 + 0)*(-34 + 18 + 3)*(-4 + 3 + 3) to z*d + x and give z. -78 Express 2*q**3 + 2*q**3 - 81*q**4 + 2 + 2*q**2 - 2*q**3 + 0*q**3 in the form d + c*q**3 + a*q**2 + x*q + n*q**4 and give d. 2 Express (-326 - 303 + 673 + l**2)*(4 - 4 - 5*l) + (-l - l + 4*l)*(l**2 - 2 + 2) in the form g*l + j + x*l**3 + f*l**2 and give x. -3 Rearrange -13*v**2 + 47*v**2 - 33*v**2 to p*v + n*v**2 + m and give m. 0 Express -13*v**4 - 3*v + 30*v**3 - 25 + 11*v**4 + 2*v - 12*v**3 - 16*v**3 as u*v**2 + d*v + t + w*v**4 + z*v**3 and give t. -25 Rearrange (l + 4*l + l)*(-l**2 + 0*l**2 + 0*l**2) - 2*l**3 + 3*l - 3*l + (-52*l**3 + l**3 - 2*l**3)*(1 - 2 + 0) to k*l**3 + c + y*l**2 + j*l and give k. 45 Express 10*a**2 - 21*a**2 + 3 - 41*a**2 as l + s*a + q*a**2 and give s. 0 Express (0*c + 7*c + c)*(2 - 8 - 4)*(2*c - 2*c + 3*c) in the form j*c**2 + i + s*c and give j. -240 Express 5 - 6 - 45*n + 0*n**2 - 8*n**2 + n**4 + 6*n**2 as l*n + m + a*n**2 + j*n**4 + p*n**3 and give a. -2 Rearrange 0 + 0 - 322*m**2 + 85*m**2 to the form t*m**2 + o*m + h and give o. 0 Rearrange (11 - 3*c - 13 + 16*c)*(-5 + 2*c**2 + 2 + 8) to the form w*c + d*c**2 + v*c**3 + h and give v. 26 Rearrange (2 + 6*v - 2*v - 5*v)*(98 + 39 - 4) to the form q + f*v and give q. 266 Rearrange -2*t**2 - 4*t**2 - 3*t**2 - 30*t + 4*t**2 to the form f*t + h + b*t**2 and give f. -30 Rearrange -53*v**3 + 137*v**3 + 81*v**3 + 109*v**3 - v to the form d + p*v + g*v**3 + o*v**2 and give p. -1 Express (2 - 2 - 3)*(22*r**2 - 22*r + 22*r) + 7 - 7 + 3*r**2 in the form w*r**2 + k*r + v and give w. -63 Rearrange -267*j**2 + 2*j**4 + 265*j**2 - 4 + 5 + 0*j - 4*j + 2*j - j**3 to the form y*j**3 + m*j**2 + l + x*j**4 + k*j and give l. 1 Express m**2 + 1029*m**3 - m - 22 + 1023*m**3 - 2050*m**3 + 2*m as d*m**3 + r*m + x + v*m**2 and give v. 1 Express 42 + 198*o - 401*o - 1128*o - 42 + (1 - 1 - 2*o)*(4 - 5 + 3) as r*o + v and give v. 0 Rearrange (-10*f - 16*f + 7*f)*(3 - 2 - 3)*(2*f + 0 + 0)*(-11 - 10 + 4) to z*f + x*f**2 + l and give x. -1292 Express (28*i - 349 + 30*i - 57*i)*(-4*i**2 + 2*i**2 + 0*i**2) in the form g + l*i**3 + s*i**2 + d*i and give l. -2 Express (-m - 2*m + m)*(5 - 3 + 0)*(-2 - 1 + 1) in the form g*m + b and give g. 8 Rearrange 40*w - 5*w**2 + 5*w**2 - 31*w - w**3 - 1 + 2*w**2 to the form n*w**2 + y + z*w + i*w**3 and give y. -1 Express -6*j - 7 - 2*j - 8*j + 8*j - 4*j in the form q*j + y and give q. -12 Express 14*q**2 - 1 + 8*q - 35*q - 36*q**2 + 27*q in the form c*q**2 + o + b*q and give c. -22 Rearrange 11 + 4*f**3 + 2*f**2 + 2*f - 78 + 0*f - 5*f**3 to t + h*f + w*f**3 + g*f**2 and give g. 2 Express -529*j - 1886*j + 3977*j in the form q + d*j and give d. 1562 Express ((-i**2 + 3*i**2 + 0*i**2)*(-i + 3*i - i) + 2*i - 1 - 5*i**3 + 1)*(3 - 1 - 8) as n*i + k + r*i**2 + a*i**3 and give a. 18 Rearrange 28*x**2 - 4*x - 200 + 201 - x**4 - 23*x**2 to o*x**2 + a*x**3 + p*x + s + b*x**4 and give o. 5 Express -94*c**2 + 3*c - 105*c**2 - 114*c**2 + 286*c**2 in the form w*c + f + q*c**2 and give q. -27 Express -360*m**3 + m**2 - 3*m**2 + 72*m**3 - 57*m**3 as t*m**2 + j*m + i + h*m**3 and give h. -345 Rearrange -4*q**2 - q**2 - 5*q**2 + 2 - 11*q**2 + q**2 to the form n*q**2 + x + g*q and give n. -20 Rearrange 144*h - 15*h + 156*h - 2*h**2 to v + b*h + t*h**2 and give t. -2 Rearrange -15 + 107 - 19 + 2*y to the form g*y + a and give a. 73 Express (2*x + 4*x - 4*x)*(-37*x + 46 - 46) + (-1 + 0 + 0)*(0*x**2 - 7*x**2 + 0*x**2) + 2*x**2 - x + x as a + l*x + q*x**2 and give q. -65 Express (-127 + 1440*t**2 + 254 - 125 + t)*(3 - 2 + 0) in the form q + y*t + c*t**2 and give q. 2 Rearrange 8*f**4 - f - 1 - f**2 - 9*f**4 + 2*f**3 + 2*f**4 + 0*f**3 to a*f**4 + w*f**2 + d*f**3 + s + n*f and give s. -1 Rearrange -m**3 + 7*m - 4*m**3 - 10*m - 22*m + 3*m**4 to o + d*m + l*m**4 + y*m**3 + n*m**2 and give d. -25 Rearrange (0 + 0 + 2)*(1459*v**3 - 1 + 717*v**3 + 1 + 0) to i*v + n*v**3 + b + k*v**2 and give n. 4352 Rearrange 5 - 3*s - s**3 + 2*s - 10*s**4 - 4*s**4 - 3*s**2 + 12*s**4 to the form d*s**3 + n*s**2 + h + v*s + g*s**4 and give h. 5 Express (-1 + 5 - 5)*(4*t - 3*t - 2*t) - 41 - 4*t + 41 + (1 + 0 + 1)*((-2*t - 4*t + 2*t)*(-2 + 0 + 1) + 2*t - 5*t + t)*(0 + 3 - 6) as n*t + d and give n. -15 Rearrange (-2 - 3 + 6)*(-54*h**3 - 55*h**3 + 31*h**3) - h**3 + 2*h**3 + h**3 to the form u*h**3 + a*h + x*h**2 + z and give u. -76 Express 13*t - 2*t**2 + t**3 - 4*t - 10*t - 1 + 2*t as g*t**2 + d*t**3 + v + h*t and give d. 1 Express (1 - 1 - 2*b)*(-525 - 97 + 77)*(-b + 4*b - b) as t*b + y*b**2 + w and give y. 2180 Rearrange (u - 4*u + u)*(4*u - 5*u + 3*u) + 137 - 137 - 13*u**2 + 2314*u + 3*u**2 - 1 - 2314*u to k + z*u**2 + r*u and give k. -1 Rearrange -59*c + 36 - 27 + 61*c + 45 to the form n + u*c and give u. 2 Rearrange (2 - 2 - 1)*(-1 - n + 1) + (-n + n - n + (77*n + 35 - 35)*(6 - 2 - 1))*(-2 + 4 - 5) to f + z*n and give z. -689 Express (-86 - 42 - 63)*(-2*r - r + 2*r) as w + t*r and give w. 0 Rearrange o + 7 - 13*o**2 + 2*o**3 + 30*o**2 - 14*o**2 + 0*o to g + b*o**3 + d*o**2 + r*o and give b. 2 Express -23*m + 5 - 54*m**3 + 23*m + 12*m**2 - 14*m**2 + 205*m**3 as s*m + x*m**3 + g + y*m**2 and give x. 151 Rearrange (-5*p + 5*p + 5*p)*(0*p - p + 4*p) - 9 - 14 + 0 - 2*p**2 - 2*p**2 to the form m*p**2 + l*p + n and give n. -23 Rearrange 6*g**3 + 10*g**3 - 2 - 5*g**3 + 0*g**2 - 5*g**4 + 3*g**2 - 5*g**3 to the form x*g**2 + h*g + d + t*g**3 + a*g**4 and give d. -2 Rearrange (-2*d + 0*d + 3*d)*(-21 + 31 - 137) - 2*d + 0 + 0 + 5*d + 0*d - 3*d + (-1 + 3 - 1)*(-2 + 2 + 2*d) to the form l + n*d and give n. -125 Express (5 + 1 - 5)*(1889*h + 2200*h - 3639*h) + 0*h - 2*h - h in the form b + i*h and give i. 447 Rearrange 2 + 4*j - 2 + 3*j - 4*j + 0*j + (1 - 1 + 2)*(-33*j + 14*j - 8*j) - 2*j + j + 2*j to the form q + l*j and give l. -50 Rearrange 193*q**2 - 282*q**2 - 285*q**2 to
{ "pile_set_name": "DM Mathematics" }
*2 + 950*i as x + y*i + z*i**2 and give x. 3 Rearrange -73721*c + 10289*c**2 + 73721*c to the form u*c**2 + x*c + b and give u. 10289 Express (-3 + 3 - 3*h**3)*(186 + 83 - 34)*(-1 + 5 - 2) in the form z*h**2 + a*h**3 + d + j*h and give a. -1410 Express 783*x - 696*x + 4288*x in the form i*x + h and give i. 4375 Express -158*y**2 - 4 + 424*y**2 - 149*y**2 + (-2*y - y**2 + 2*y)*(1 - 2 + 3) - 3 - y**2 + 3 - 1 + 2*y**2 + 1 as b*y**2 + g*y + r and give b. 116 Rearrange -1594*d**2 - 6*d + 14*d - 25 + 24 - 8*d to the form y*d + s*d**2 + m and give s. -1594 Express 4917*m**3 + 3278*m**3 - m**2 - 2180*m**3 as v*m**3 + d*m**2 + j*m + z and give d. -1 Express 14 + 0 - 13 + 2*v**2 + 2 - 1442*v**3 + 3*v - 83*v**3 as j + x*v**2 + c*v**3 + w*v and give x. 2 Express -b**4 - b**3 - 3*b**2 + 3*b**4 - 2*b**3 - 23 + b**2 - 1 in the form y + i*b**2 + x*b**4 + z*b + p*b**3 and give y. -24 Rearrange 108*r + 8760 - 17520 + 8775 to p + c*r and give c. 108 Express 6*t + 51*t**2 + 3*t**3 - 8*t + 210 - 211 - 52*t**2 + 759*t**4 as g*t**3 + y*t**2 + q*t + a + p*t**4 and give p. 759 Express 23684*o**2 - 685 - 428 - 23681*o**2 - o + o in the form l*o**2 + a*o + g and give g. -1113 Rearrange -60 - u**2 - 35*u**3 - 49 + 158 + 3*u - 51 to the form r*u + d + n*u**2 + o*u**3 and give o. -35 Express (5*t + 3*t + 12*t)*(-462 - 390 + 61)*(-2*t**3 + 5*t**3 - 2*t**3) in the form p*t**2 + q*t**3 + j*t**4 + h + i*t and give j. -15820 Express 2*h**2 + 4675*h**3 + 2*h - 2350*h**3 + 27 - 2326*h**3 in the form j + a*h**3 + k*h + f*h**2 and give k. 2 Rearrange 54*w**2 - 20*w - 55*w**2 + 15*w - 5*w**3 - 54 to n*w + u + x*w**3 + z*w**2 and give z. -1 Express 2 + 5*v + 0 - 6*v**3 - 42*v**4 - 7*v + 4*v**3 + 81*v**4 as u*v**4 + y*v**3 + l + c*v + n*v**2 and give y. -2 Rearrange (x + 2*x - 4*x)*(21 + 10 + 6)*(23*x**3 - 62*x**3 - 7*x**3) to the form o + k*x**2 + z*x + a*x**4 + s*x**3 and give a. 1702 Express -2*f + 3*f - 29 + f**2 - 72*f**3 + 74*f**3 + f - 4*f as t + o*f**3 + i*f**2 + p*f and give i. 1 Rearrange -122*l**2 - l + 3*l + 10*l**4 - 12*l**4 + 124*l**2 - 131 to the form x*l**2 + d*l**4 + s*l**3 + b + i*l and give i. 2 Rearrange 0 + 3*p + 0 + (1 + 8 - 6)*(-3*p + 3*p - 2*p) + 7*p + p - 4*p + (0*p + 3*p - 5*p)*(3 - 1 - 1) to j + i*p and give i. -1 Express 9*j**2 + 232 - 150 + 124 in the form l + c*j + t*j**2 and give t. 9 Rearrange 101*z**3 + 39*z**2 + 15 - 15*z - 17 - 36*z**2 + 9*z to x*z**2 + y*z**3 + j*z + l and give j. -6 Rearrange -404 + 802 - 84*g + 0*g**2 - 396 - 2*g**2 to a*g + v + l*g**2 and give a. -84 Express 61276 + 2481*w + 61277 - 122556 in the form c*w + r and give c. 2481 Rearrange (-1 + 0 + 0)*((x**2 + 5*x**2 - x**2)*(-3 - 5*x + 3) + 34*x**3 - 25*x**3 - 20*x**2 + 40*x**2) to the form u*x**2 + d + b*x + m*x**3 and give m. 16 Express (16 - 16 - 6*r**3)*(10 - 2 + 0) + (2*r**2 - 3*r**2 + 3*r**2)*(-49*r - 8 + 8) in the form z + t*r + m*r**2 + l*r**3 and give l. -146 Rearrange -3*q**3 + 12*q**2 + 6*q**4 - 4*q**4 - 11*q**2 - 48 + 6*q + 3*q**3 to the form w*q**2 + h*q**3 + z*q**4 + j + i*q and give h. 0 Express (4 + 0 + 2)*(-1 + 1 - 2*b**4) - b + 14*b**4 - 24372*b**3 + 2*b**4 + 24369*b**3 in the form t*b**2 + y*b + g*b**4 + n*b**3 + q and give n. -3 Rearrange 8*s**4 + 671528*s - 2 + s**2 + 0*s**2 - 8*s**3 - 671529*s to the form a + u*s**3 + z*s**4 + n*s + v*s**2 and give u. -8 Rearrange 1327*n - 381*n**3 - 389*n**3 + 771*n**3 - 6119*n to g + v*n + d*n**3 + p*n**2 and give d. 1 Rearrange -2*h - 2199 + 7*h + 2299 to x + f*h and give x. 100 Rearrange (-10*t**2 + 11*t**2 - 2*t - 5*t)*((0 - 6 + 3)*(-1 - 2 + 1) + (-17 + 18 - 19)*(-1 + 1 + 3)) to q + m*t**2 + h*t and give h. 336 Express (-19*t**2 + 29*t**2 - 23*t - 9*t**2)*(-2 - 1 + 2)*(-59 - 82*t + 59) in the form b*t + j*t**3 + o*t**2 + c and give o. -1886 Express -2*t**2 + 4144 - 30*t - 2079 - 2066 in the form p*t + s + v*t**2 and give v. -2 Rearrange -5*p**4 + 2 + 13*p**4 - 7*p**3 + 10*p**4 + 15*p**3 to the form w*p**3 + g + h*p + s*p**4 + d*p**2 and give g. 2 Express 2 - 16 - 9 - 2288*c**2 + 1142*c**2 + 1147*c**2 + 86*c**3 in the form n*c**2 + a*c + l*c**3 + s and give s. -23 Express 3*g**2 - g**3 - 195 + 394 - 205 + (-14*g**2 - 25*g**2 + 15*g**2)*(2*g + 3*g - 7*g) in the form j*g**3 + v*g + t + d*g**2 and give t. -6 Express (a + 0*a + a)*(0 + 4 - 2 + 0 + 0 - 2 + 0 + 1 - 2 + (-1 + 0 + 0)*(-1 + 5 - 3)) + (0 - 2 + 1)*(6*a - 14*a - 3*a) as r*a + w and give r. 7 Rearrange 21*v**2 + 6*v**2 + 7*v**2 + (-5 + 13 + 2)*(2*v**2 - 6*v**2 + 3*v**2) to s*v**2 + w + i*v and give s. 24 Express (-3*u + 0 + 0)*(-279*u**2 + 210*u**2 - 92 + 92)*(294 - 294 - 9*u) as y*u**2 + r*u**4 + j + f*u**3 + i*u and give i. 0 Rearrange (110 - 220 + 112 - 118*s)*(23 - s - 12 + 7) to j + q*s + r*s**2 and give r. 118 Rearrange c**4 + 7 + 106*c**2 - 160*c - 167*c + 324*c + 4*c**3 - 107*c**2 to b*c + x + h*c**4 + l*c**2 + f*c**3 and give h. 1 Express (3*t**2 - 2*t**2 + 2*t**2)*(-2 + 2 + 9*t) - t**3 - t**3 + 4*t**3 + (-2 - t + 2)*(t**2 + 3*t**2 - 6*t**2) as j*t**3 + q + f*t**2 + g*t and give j. 31 Express -1637 - 1961 + 413*u - 311 - 414*u as i + w*u and give w. -1 Rearrange 0*v**2 - 110*v - 8*v**3 + 6*v**3 + 135*v + 4*v**2 to o*v**2 + r*v + q*v**3 + j and give o. 4 Express (9 - 58*h - 8*h - 8)*(3613*h + 100*h**2 - 3613*h) in the form k*h**2 + d*h + c*h**3 + m and give m. 0 Rearrange -4*o**2 + 61*o**3 - 1613*o + 3349*o - 1738*o to the form f*o**3 + d + w*o + m*o**2 and give w. -2 Rearrange (-2*b - 182 - 73 - 216 + (-4*b + b + 4*b)*(1 - 1 - 1))*(-15 + 15 - 6*b) to h*b**2 + n*b + k and give h. 18 Rearrange (24*t**2 - 5 + 1 + t - 22*t**2)*(1 - 419*t - 426*t + 858*t) to the form l*t + g*t**3 + k*t**2 + z and give g. 26 Express (2 - 1 + 0)*(92193 - 276*m**2 - 92193) in the form o*m**2 + n*m + g and give o. -276 Express 20 + 5*x**2 - 2*x**2 - 3375*x**3 + 3377*x**3 + 23 in the form l*x + w*x**3 + m + t*x**2 and give t. 3 Rearrange -2 - x + 2 + x**2 + (-x + 0*x - x)*(-2735*x + 614*x - 1836*x) to u*x**2 + i*x + q and give u. 7915 Rearrange 1 - w**3 + 4329*w + 4*w**2 - 3 - 4336*w + 6 to d*w + p + l*w**3 + t*w**2 and give p. 4 Express (144*b**2 + 258*b**2 - 25*b**2)*(-20 + 20 + 2*b) in the form y*b**3 + x*b**2 + j + g*b and give y. 754 Express 83 - 82 + 32*k - 6*k + (-3*k - 2*k + 4*k)*(3 - 3 + 5) - 6*k - 2*k + 2*k as r*k + p and give r. 15 Rearrange -2*m**3 + 29*m**2 + 3*m**3 + 15*m**2 - 2*m - 4365*m**4 + 24*m**2 - 66*m**2 - 2 to the form q*m**3 + o*m**4 + k*m + h*m**2 + i and give h. 2 Rearrange r + 2*r**3 + 392*r**2 - r**3 - 197*r**2 + 122 - 196*r**2 to the form p*r**2 + i*r**3 + y + v*r and give y. 122 Rearrange n + 684 - 76*n**4 + 682 - 174*n**4 - 1365 to q*n + b*n**4 + s*n**3 + k + j*n**2 and give k. 1 Express (0 - 2 + 3)*(1594*x**2 + 6364 - 6364) as w*x + u + h*x**2 and give h. 1594 Express (2*k + 2 - 2)*(-13 - 14 - 2)*(-k**2 - 2*k**2 + 2*k**2 + (-2*k - 2*k**2 + 2*k)*(5 - 1 - 2)) as r*k**2 + s + h*k**3 + x*k and give h. 290 Rearrange -z - 16*z**2 + 7*z - 12 - 2*z - 3*z**3 - 5*z + 4*z**2 to the form h*z + r*z**2 + j + y*z**3 and give r. -12 Rearrange (0 - 3 - 6 - 1 + 5 + 1 + (2 - 5 + 1)*(5 - 4 - 3) + 1 + 2 - 1)*(-s**2 + 0*s**2 + 4*s**2) to a*s**2 + d*s + c and give a. 6 Rearrange 405*l**3 - 92 - 3*l + 420*l**3 - 132 - 825*l**3 - l**4 to y*l + n*l**2 + f + h*l**4 + m*l**3 and give y. -3 Express (-9*t + 11*t + 2 - 4)*((-1 - t + 1)*(0 + 4 - 2) + (-2*t + 1 - 1)*(-1 - 6 - 6)) + 2*t**2 + 0*t + 0*t in the form k + u*t + c*t**2 and give u. -48 Rearrange -6*o - 273*o**2 + 28508 - 3*o**4 - 28508 to the form g*o**4 + b*o + s*o**2 + t*o**3 + h and give g. -3 Express 1347*u + 6085*u + 2935*u as p*u + b and give p. 10367 Express (-2 - 4 + 1)*(-1334*v - 94*v - 692*v) as r*v + z and give r. 10600 Rearrange -4761 + z - z + 3*z**3 + 5075 + 0*z + 4*z**2 to the form i*z**2 + d*z**3 + b*z + j and give i. 4 Express 19*o**3 + 230125*o + 45*o**3 - 230138*o + 18*o**3 in the form v*o**3 + z*o + n*o**2 + r and give v. 82 Rearrange -2*d**3 + 9*d**4 + 72922*d**2 + 73076*d**2 - 146996*d**2 to the form n + s*d**3 + j*d + t*d**2 + v*d**4 and give v. 9 Express 86*f**2 + 29894*f - 29961*f - 2 + 14*f**2 in the form r + q*f + a*f**2 and give r. -2 Rearrange 5*w - 8 + 0*w + 34 + 0 + 13 to g + a*w and give g. 39 Express 12*s - s + 2*s + 2081*s**2 - 12*s as x*s**2 + h + m*s and give h. 0 Rearrange (0 - 4 + 1)*(2
{ "pile_set_name": "DM Mathematics" }
- 3) -8 Calculate -5 + (-10 - -8) + 0 + 6. -1 Evaluate (-1 - -1) + -1 - -1. 0 Calculate -49 - -53 - (1 + 3). 0 Evaluate -3 - ((1 - (4 - 1)) + -3). 2 -4 - 0 - (-9 - -1) - -1 5 What is the value of 1 + 4 + -3 + (0 - 5)? -3 Evaluate -3 + (4 - 6 - -6) - -4. 5 What is 15 + (-7 - 10) + 1 + 6? 5 What is -2 - -10 - (6 + 1 - 6)? 7 Calculate (3 - 4) + 0 + 6. 5 17 + -12 + (-2 - (-13 - -5)) 11 What is the value of -2 + 6 + 1 - (-52 - -51)? 6 Calculate 13 + (-5 - (0 + 4) - -4). 8 (-1 - -1) + 11 + (16 - 20) 7 Calculate (1 - 6) + (7 - -5) + -10. -3 -4 + -3 + 4 - (-5 - -2) 0 Evaluate (0 + 1 - (-3 - -5)) + 2. 1 Evaluate -1 + (5 + 2 + -6 - -3). 3 What is the value of 9 - (12 + -6) - 1? 2 Calculate (-2 - 0) + (-4 - -5). -1 What is (-7 + 13 - 4) + 7 + -11? -2 Calculate 0 - (-3 + 0 - (-2 + -3)). -2 -3 - (-4 + 5) - -12 8 What is the value of 0 + (-5 - (-10 - -5) - -3)? 3 What is (1 - 2) + (-3 + 2 - -5)? 3 What is (3 - 2 - 0) + 3? 4 Calculate (-7 - -13) + 4 + 1 + -15. -4 Evaluate -2 + 6 - (-40 - -41). 3 -3 + 5 + 4 + -3 - -4 7 Calculate (1 - -3) + 50 + -55. -1 What is the value of -4 - (0 + (7 - 7))? -4 What is 1 - 0 - (-30 - -26)? 5 Evaluate (-8 - (-1 + -19)) + -13. -1 Calculate 17 - (-1 + 5 + 5). 8 Evaluate -5 + -1 - (-4 + -5). 3 (-6 - -7 - 3) + (2 - -1) 1 Calculate (37 - 33) + -1 + -7. -4 Evaluate -2 - (-8 + 5) - 2. -1 What is the value of (5 - -1) + -2 - 1? 3 What is 4 + -1 + (31 - 29)? 5 Calculate -5 - (-3 + 2 + 0). -4 Evaluate 1 + ((-6 - -3) + 4 - -1). 3 What is the value of 2 + 1 + 0 - (6 - -1)? -4 What is (7 - (4 - -3)) + -1 + -1? -2 Evaluate (2 - 11) + (5 - -2). -2 Evaluate 0 - -2 - (4 + 0 + -7). 5 What is the value of 1 - ((3 - 4) + 1)? 1 Evaluate -12 + -11 + 26 + 7. 10 -9 + -1 + 14 + -8 -4 Calculate -4 + (-1 - (6 - 7)) - 3. -7 Evaluate -4 + (10 - ((3 - -6) + -5)). 2 What is -2 + (4 - 4) - -5? 3 Calculate 3 + 5 + -6 + -3. -1 Evaluate 11 + -15 + (-1 - 0). -5 What is the value of 7 - (4 - (-3 - 3 - -11))? 8 What is the value of 7 - (2 + 3 - 2) - 5? -1 Calculate -4 + (2 - 1) + 34 + -33. -2 Evaluate -2 + -1 + (6 - -1) - 2. 2 What is 2 + 13 + -4 + -5? 6 What is the value of -4 + (1 - 1) - -8? 4 Evaluate 1 + 3 + 1 + -7 - 3. -5 -2 + 0 + 1 + 120 + -126 -7 Evaluate 1 + -6 + 7 - 5. -3 Evaluate 2 + -22 - (-14 + (23 - 18)). -11 Evaluate 5 - (1 - -6 - 8). 6 What is 6 + (-4 - (-1 - 0))? 3 Evaluate -1 + 5 + -1 + (-3 - -1). 1 What is 1 - ((6 - 1) + -2 + -4)? 2 Calculate -29 + 32 - (3 - 0). 0 What is 6 - (-12 - -11) - (2 + 9)? -4 What is the value of 8 + -3 + (5 - (-2 + 11))? 1 Evaluate 4 + 1 + 0 + 0. 5 -4 + (-7 - -3) + 11 3 Calculate (27 - 30) + -2 + 7. 2 What is the value of 7 + 1 + 0 + -4? 4 Calculate 1 - 0 - (-9 + 8). 2 Evaluate -9 - -3 - (-1 - 0 - 1). -4 What is 5 + -1 - (0 + 5)? -1 -7 + 5 - (-3 + 0) 1 Calculate -5 + 5 + -4 + 1. -3 -3 + 0 + -1 + 4 0 -10 + 19 + (8 - 10) 7 Calculate (5 + -7 - -6) + 1 + 6. 11 116 - 113 - (1 - -6) -4 Evaluate -1 - 4 - (144 - 150). 1 Calculate -4 - ((-4 + 2 - -3) + 0). -5 What is the value of -12 - (-6 - -1) - -14? 7 Calculate (-6 - -2) + (-1 - 1 - -1). -5 5 + -18 + 9 + 0 -4 (-1 - 0 - (14 + -13)) + 3 1 (-5 + 19 - 7) + 3 + -7 3 Calculate 1 + 3 - (-3 + (11 - 6)). 2 What is the value of 3 + 0 - (-9 + 14)? -2 What is (3 - 6 - 5) + (2 - 4)? -10 Calculate 7 - (-1 - -1) - (-1 + 5). 3 6 - ((-2 - 5) + 3 - -4) 6 Calculate -3 + 0 + (53 - 45). 5 (-2 - -2) + -1 - (-1 - -3) -3 Evaluate 38 + -35 + -2 + 1. 2 What is -2 + -1 - (10 + 14 + -24)? -3 Evaluate -7 + (0 - -10) - (1 - -4). -2 What is -5 + -3 - (1 + (-6 - -2))? -5 Calculate -3 + (8 - (7 + -4)). 2 Calculate 0 + -4 + 2 + 2 - -3. 3 Evaluate (-1 - -8) + (-5 - -6) + -3. 5 Evaluate 29 + -25 - (0 - (0 - 2)). 2 1 + -2 + -3 - (-3 - -2) -3 What is the value of (3 - -5) + (-1 - 1)? 6 Calculate (-2 - (1 - 2)) + -4 + 0. -5 21 + (-26 - -8) + 8 11 What is the value of -1 + 1 + -1 + 2 + -2? -1 Evaluate -1 + (-1 - -3) + -1. 0 Calculate 16 + -22 + (-1 - (-2 - 0)). -5 Evaluate 22 - 18 - ((0 - 1) + 6). -1 -4 + (3 + -6 - -3) -4 What is the value of 0 - (6 + -7 + (13 - 6))? -6 Evaluate 0 + (0 + 3 - (1 - 0)). 2 1 - 0 - (-8 + -1 + 5) 5 What is the value of (-2 + 1 - -1) + (-21 - -13)? -8 What is the value of 0 - (-1 + -1 + -2)? 4 Calculate 0 + (7 - 3) + 1. 5 What is the value of -15 + 7 + -3 + 6? -5 6 + -2 + 1 + -1 4 Evaluate -10 + (2 - 3) - (1 + -5). -7 What is 20 + -26 - (-5 + (-2 - 0))? 1 Calculate (3 - 2 - -4) + -4. 1 9 - (-11 - -25) - 0 -5 Evaluate -4 - (1 + 2 - 2). -5 What is the value of -1 + (1 + -4 - (2 + -6))? 0 What is (-1 - -2 - (-8 + 14)) + 5? 0 -1 - (0 - (5 - 3) - -3) -2 Evaluate 4 + 0 + -25 + 29. 8 What is 36 + -42 - (-2 + -1 - 0)? -3 Calculate 0 + (-1 - 2) + 4. 1 What is the value of -3 + (-3 - -9) + -3? 0 Calculate 1 + -8 + 104 + -102. -5 -31 - -26 - (0 - 11) 6 Calculate (-50 - -48) + 5 + 1. 4 What is -14 - (-11 + -7 + 12)? -8 6 - (-1 + 5) - -2 4 What is (2 - 3 - 1) + -18 + 14? -6 Calculate -3 + -4 + 6 + -15 - -6. -10 What is the value of -2 - (-10 - 1 - -4)? 5 -3 - (0 - -2) - -1 -4 What is -4 + 0 + 6 - (7 - 2)? -3 9 + (-7 - -11) + -8 5 Evaluate 12 - (4 + 8) - (-1 - 1). 2 3 - 4 - (-9 + (26 - 11)) -7 What is the value of (3 - 2 - (-1 + -1)) + 2? 5 Evaluate 1 - (4 - (0 + -6) - 6). -3 What is -6 - (-2 + 0) - (-22 + 21)? -3 Evaluate 5 - (-5 - (-9 - -4)). 5 What is the value of (14 - 10) + -1 + 2 + -6? -1 What is the value of 12 - ((-23 - -23) + (-3 - -11))? 4 Calculate 6 + -12 + 9 + (2 - 5). 0 Evaluate 4 + (1 - 0) + -4. 1 Evaluate -2 - ((2 - 4) + -2 - 1). 3 Evaluate 3 + (5 - 13) - 0. -5 10 + (-9 - -11) + -10 2 What is 3 - (-10 + 24 + -7)? -4 (5 - 3) + (0 - 1) 1 What is -2 - -6 - 3 - (2 + -1)? 0 Calculate -6 + (6 - (8 - 3)). -5 Calculate (-8 - 1) + (-7 - -2) + 9. -5 What is the value of 1 + (-6 - -9) - (-5 - 0)? 9 Calculate 1 + 8 + -6 + -2. 1 3 + (1 - 6) + 1 + 3 2 (1 - 0) + -10 + 8 -1 What is the value of (16 - 17 - -7) + (-1 - 3)? 2 What is -87 + 89 + (-1 - -3)? 4 Evaluate (-2 - -6) + -11 + (6 - 0). -1 What is the value of 7 - (-3 - -9 - 2)? 3 What is 0 + 3 + -11 + 7? -1 Evaluate (-10 + 7 - -7) + 3 + -15. -8 What is -3 - (-10 + (2 - -2))? 3 Evaluate 14 - 5 - 11 - (1 + -3). 0 What is the value of (6 - (-11 - -4 - -20)) + 6? -1 What is -3 - -1 - (-3 + 0 + 2)? -1 -7 - (6 + (-5 - 14)) - -2 8 What is 3 - (13 - 9) - (-5 - -1)? 3 Calculate (-8 - -4) + 4 - -3. 3 7 + -1 - 2 - 5 -1 What is 18 - 16 - (12 + -7)? -3 What is -11 - -2 - (-1 + 6 + -9)? -5 Calculate 1 + -2 + (4 - 0) + 0. 3 Evaluate 6 - ((3 - 3) + 2). 4 What is the value of (8 - (3 + -2)) + (1 - 1)? 7 Evaluate 0 + (-7 - -14) + -7. 0 Evaluate 4 + (-1 + 4 - 8) - 0. -1 Evaluate (4 - 4) + (6 - (0 + 1)). 5 What is the value of 9 + 1 - (9 - (7 + -3))? 5 What is 2 + -2 + (-9 - -4)? -5 Calculate -1 + 2 + (16 + -7 - 13). -3 Calculate (-8 - -2) + -8 + -2 + 7. -9 Calculate 3 + -6 - -9 - (8 + 1). -3 (-29 - -23) + 1 + 0 -5 Calculate 1 - 1 - (3 - (4 - 2)). -1 -4 + -4 - (-3 + -2) -3 Calculate (2 - 10) + (5 - -7). 4 Evaluate 3 + 4 + -1 + -4. 2 Calculate (3 - (8 - 3)) + (-10 - -6). -6 Evaluate -4 + 3 - (-12 + 7). 4 What is 5 + 0 - (6 + -2)? 1 What is the value of (-3 - (-8 + 1)) + -8? -4 What is the value of (-4 - (6 + -26)) + -11? 5 Evaluate (3 - 3 - 0 - -4) + -8. -4 Evaluate 52 - 50 - (0 + 0). 2 What is the value of 0 + (-3 - -3) + (-4 - 0)? -4 -14 - -2 - (-3 - 1) -8 What is the value of -4 + (-8 + -3 - -10)? -5 What is the value of -18 + 15 - (-1 - 1) - 3? -4 0 + 14 + -8 + -5 1 What is 5 - (3 - (4 - -1) - -4)? 3 What is 3 - ((1 - 1) + (8 - 0))? -5 What is 1 - -10 - (-21 - -32)? 0 Calculate (6 - (-4 - -5)) + (-8 - -1). -2 What is 16 - 15 - ((0 - 1) + -2)? 4 Evaluate 3 - (-2 + 3) - 2. 0 14 - (7 - -5 - 4) 6 Calculate (0 - 9) + (-1 - -5). -5 29 - 40 - (-7 - 1) -3 What is 5 + (33 - 31 - (1 - 1))? 7 Calculate -2 - -3 - (10 + -10 + 1). 0 What is the value of 4 + (-11 - 1) + 9? 1 What is the value of 7 + (6 - (-3 + 16 - 3))? 3 What is (3 - 5) + 1 + (0 - 0)? -1 2 - (-4 + (-2 - -8)) 0 What is the value of (1 + 0 - -3) + -1? 3 What is the value of 5 + 3 + -1 + -3? 4 What is -2 - (1 - (7 - (1 - -3)))? 0 Evaluate 0 + 8 - (8 - 1). 1 Evaluate 10 + (6 - (4 - -6)). 6 Evaluate -6 + -2 + 6 + 0 + 7. 5 Calculate -90 - -93 - (-1 - -7). -3 What is 5 - (2 + -10 + (2 - -1))? 10 8 + -5 - (1 - 3) 5 What is the value of 4 - (0 + 8) - -5? 1 What is the value of -11 + (8 - (-1 + -1 + 4))? -5 Calcul
{ "pile_set_name": "DM Mathematics" }
09 and 165319. 209 What is the greatest common factor of 17304 and 1512? 168 Calculate the highest common factor of 98 and 238. 14 Calculate the greatest common divisor of 255 and 34. 17 What is the highest common divisor of 44 and 132? 44 What is the highest common factor of 95 and 3610? 95 Calculate the greatest common factor of 117 and 54. 9 What is the greatest common divisor of 29400 and 168? 168 Calculate the highest common factor of 1584 and 363. 33 What is the highest common divisor of 3064 and 8? 8 Calculate the greatest common divisor of 486 and 432. 54 Calculate the greatest common factor of 12 and 3. 3 What is the highest common factor of 121 and 1? 1 Calculate the greatest common factor of 44 and 396. 44 Calculate the greatest common factor of 45 and 240. 15 Calculate the highest common divisor of 16727 and 43. 43 What is the greatest common divisor of 108 and 31788? 36 What is the greatest common divisor of 553 and 7? 7 Calculate the highest common divisor of 60 and 195. 15 Calculate the greatest common divisor of 775 and 225. 25 Calculate the greatest common divisor of 96 and 240. 48 What is the greatest common divisor of 38 and 589? 19 What is the highest common factor of 52 and 4420? 52 What is the greatest common divisor of 12 and 120? 12 What is the greatest common factor of 3 and 21? 3 What is the highest common divisor of 168 and 21? 21 What is the greatest common factor of 427 and 244? 61 What is the greatest common divisor of 192 and 744? 24 What is the greatest common divisor of 9 and 1179? 9 Calculate the greatest common factor of 1136 and 112. 16 Calculate the greatest common factor of 16 and 864. 16 Calculate the greatest common factor of 174 and 54. 6 What is the greatest common divisor of 636 and 12? 12 Calculate the greatest common divisor of 3654 and 28. 14 Calculate the greatest common factor of 1773 and 144. 9 Calculate the highest common factor of 130 and 40. 10 Calculate the highest common factor of 128 and 184. 8 Calculate the greatest common divisor of 146 and 146. 146 What is the greatest common divisor of 33 and 759? 33 Calculate the greatest common factor of 963 and 45. 9 Calculate the greatest common factor of 7316 and 93. 31 Calculate the greatest common factor of 132 and 363. 33 Calculate the highest common factor of 3861 and 286. 143 What is the highest common factor of 60 and 260? 20 Calculate the greatest common factor of 8 and 672. 8 Calculate the greatest common factor of 491 and 2. 1 What is the greatest common factor of 29 and 7946? 29 Calculate the greatest common divisor of 183 and 27. 3 Calculate the highest common divisor of 14 and 4662. 14 What is the highest common factor of 18 and 34470? 18 What is the highest common factor of 10 and 60430? 10 What is the highest common factor of 375 and 1625? 125 What is the highest common factor of 13408 and 32? 32 Calculate the highest common factor of 660 and 20. 20 What is the greatest common factor of 1445 and 85? 85 Calculate the highest common factor of 25 and 160. 5 Calculate the greatest common divisor of 55 and 4345. 55 What is the greatest common factor of 1544 and 2123? 193 Calculate the greatest common factor of 216 and 13176. 216 What is the greatest common divisor of 34 and 986? 34 Calculate the greatest common divisor of 2439 and 18. 9 Calculate the greatest common factor of 135 and 30. 15 Calculate the highest common factor of 700 and 56. 28 What is the greatest common divisor of 72 and 1224? 72 What is the highest common factor of 148 and 8806? 74 Calculate the highest common factor of 1250 and 35. 5 What is the highest common divisor of 118 and 22? 2 What is the highest common factor of 13 and 2041? 13 What is the greatest common factor of 21 and 2275? 7 Calculate the highest common divisor of 679 and 11058. 97 What is the highest common divisor of 41 and 1681? 41 What is the highest common factor of 21421 and 31? 31 What is the greatest common factor of 13 and 5603? 13 What is the greatest common factor of 447 and 3? 3 What is the highest common divisor of 12570 and 30? 30 What is the greatest common divisor of 11 and 1177? 11 What is the greatest common divisor of 36 and 1548? 36 Calculate the highest common factor of 64 and 928. 32 Calculate the greatest common divisor of 26 and 117. 13 What is the greatest common factor of 1863 and 69? 69 What is the highest common divisor of 4 and 444? 4 What is the highest common divisor of 39 and 104? 13 Calculate the highest common divisor of 10 and 74. 2 Calculate the greatest common divisor of 60 and 348. 12 What is the greatest common divisor of 1673 and 21? 7 What is the highest common factor of 10 and 80? 10 Calculate the highest common divisor of 660 and 4110. 30 What is the highest common divisor of 36 and 492? 12 Calculate the highest common divisor of 100 and 6. 2 What is the highest common factor of 140 and 952? 28 What is the greatest common divisor of 91428 and 114? 114 Calculate the greatest common divisor of 13 and 637. 13 Calculate the highest common divisor of 75 and 1455. 15 Calculate the highest common factor of 129 and 8471. 43 What is the highest common factor of 528 and 48? 48 What is the highest common factor of 23471 and 49? 49 What is the highest common divisor of 858 and 22? 22 What is the highest common divisor of 608 and 1444? 76 What is the highest common divisor of 328 and 27880? 328 What is the greatest common factor of 49 and 539? 49 What is the greatest common divisor of 5363 and 31? 31 What is the greatest common factor of 1 and 25? 1 Calculate the highest common divisor of 686 and 21. 7 Calculate the greatest common divisor of 841 and 29. 29 Calculate the greatest common divisor of 19 and 171. 19 Calculate the greatest common divisor of 10 and 755. 5 What is the highest common factor of 166 and 20750? 166 Calculate the highest common factor of 567 and 7. 7 What is the greatest common divisor of 102 and 2703? 51 Calculate the highest common divisor of 28 and 68. 4 What is the greatest common divisor of 87 and 870? 87 What is the greatest common divisor of 216 and 24? 24 What is the greatest common factor of 3213 and 27? 27 What is the highest common factor of 208 and 2340? 52 What is the highest common factor of 58 and 6206? 58 What is the highest common divisor of 25 and 30? 5 What is the greatest common factor of 12 and 1452? 12 What is the greatest common divisor of 8097 and 2? 1 What is the highest common factor of 58 and 6? 2 Calculate the greatest common divisor of 49635 and 45. 45 Calculate the greatest common factor of 4250 and 175. 25 What is the highest common divisor of 1 and 1? 1 Calculate the greatest common divisor of 1185 and 395. 395 Calculate the highest common factor of 300 and 240. 60 Calculate the greatest common divisor of 888 and 120. 24 What is the greatest common factor of 136 and 170? 34 Calculate the highest common factor of 13 and 247. 13 What is the highest common factor of 20 and 70? 10 Calculate the highest common factor of 225 and 725. 25 Calculate the greatest common factor of 111 and 1332. 111 What is the greatest common factor of 406 and 56? 14 What is the greatest common factor of 34 and 2? 2 Calculate the highest common divisor of 144 and 4338. 18 What is the greatest common divisor of 80 and 6704? 16 Calculate the greatest common factor of 52 and 78. 26 What is the greatest common factor of 3984 and 64? 16 Calculate the greatest common factor of 3108 and 36. 12 What is the greatest common divisor of 18864 and 24? 24 Calculate the highest common factor of 15 and 165. 15 Calculate the highest common divisor of 1294 and 6. 2 Calculate the highest common divisor of 6534 and 33. 33 Calculate the highest common divisor of 2565 and 95. 95 Calculate the greatest common factor of 28 and 64. 4 What is the highest common factor of 10 and 55? 5 Calculate the greatest common divisor of 6272 and 98. 98 Calculate the greatest common factor of 24 and 10. 2 What is the highest common divisor of 17 and 5? 1 What is the greatest common factor of 84 and 1218? 42 Calculate the highest common divisor of 300 and 45. 15 What is the greatest common factor of 48 and 544? 16 What is the greatest common divisor of 99 and 2409? 33 Calculate the gre
{ "pile_set_name": "DM Mathematics" }
). -28298*l + 9257 Let q(z) = -1769*z**2. Let k(h) be the third derivative of -h**5/60 - 567*h**2. Give q(k(u)). -1769*u**4 Let u(s) = 71*s**2. Let n(i) = 5*i - 7. Let c(p) = -9*p + 13. Let k(g) = -4*c(g) - 7*n(g). Let w(a) = -1. Let q(l) = -k(l) + 3*w(l). Determine u(q(f)). 71*f**2 Let z(i) = -116927*i. Let v(w) = -w**2 + 680*w. Calculate z(v(l)). 116927*l**2 - 79510360*l Let l(p) = -45*p. Let m(z) be the third derivative of -1/15*z**5 + 0*z**4 + 0 + 0*z**3 - 35*z + 2*z**2. Give l(m(s)). 180*s**2 Let h(d) be the first derivative of -62 - 73 + 27*d + d**2 + 31. Let k(a) = -4*a. Calculate h(k(y)). -8*y + 27 Let v(y) = 8*y - 8*y - 142301*y**2 + 142312*y**2. Let r(a) = -22*a + 10*a - 8*a. What is v(r(z))? 4400*z**2 Let n(k) = 11*k**2 - 10. Let c(v) = 220*v**2 - 198. Let t(s) = 5*c(s) - 99*n(s). Let y(g) = 332*g. Determine t(y(j)). 1212464*j**2 Let u(o) = 267481*o**2 + 3*o. Let k(z) = -178*z**2. What is u(k(l))? 8474868004*l**4 - 534*l**2 Let h(g) be the second derivative of -5*g**3/3 - 1325*g. Let k(u) = -4*u**2 - 7. Let d(v) = -v**2 - 2. Let i(y) = 7*d(y) - 2*k(y). What is i(h(o))? 100*o**2 Let k(d) = 12*d**2 - 4*d - 2066. Let c(x) = -60*x. What is c(k(r))? -720*r**2 + 240*r + 123960 Let m(a) = -14*a. Let b(i) = -i + 491 + 489 + 486 - 1957 + 487. Calculate m(b(c)). 14*c + 56 Let x(i) = 40*i**2. Let n(g) = -43602*g + 3380. Let h(w) = -26*w + 2. Let j(l) = 1690*h(l) - n(l). What is j(x(b))? -13520*b**2 Let q(v) be the first derivative of 0*v + 4*v**3 - 1/2*v**2 - 56. Let r(w) = 3*w**2. Calculate r(q(d)). 432*d**4 - 72*d**3 + 3*d**2 Let m(p) = 19*p - 3. Let a(k) be the first derivative of 13*k**2/2 - 429. Give m(a(w)). 247*w - 3 Let b(c) = -7*c + 224 - 569 + 345. Let f(v) = 18*v**2. Give f(b(r)). 882*r**2 Let x(d) = -24*d. Let b(p) = -6*p + 2. Suppose 0 = t + 3, -2*h - 3*t = 1 - 0. Let m(c) = 2*c - 1. Let w(f) = h*m(f) + 2*b(f). Give x(w(k)). 96*k Let y(h) be the third derivative of h**5/30 + 151*h**2 + 1. Let x(z) = 4*z**2 + 36*z. Give x(y(c)). 16*c**4 + 72*c**2 Let y(a) = -1028*a + 1. Let k(s) = s - 31. Let f(t) = 2*t - 31. Let o(n) = 2*f(n) - 2*k(n). Calculate y(o(w)). -2056*w + 1 Let h(n) = -1099 + 0*n**2 + 2*n**2 - 1105 + 2195. Let j(d) = -7*d**2. What is h(j(z))? 98*z**4 - 9 Let k(p) = 234261*p**2. Let t(i) = i**2 + 1517. Calculate t(k(c)). 54878216121*c**4 + 1517 Let z(v) = 2593*v. Let q(x) = -x - 58. Let h(j) = -30*j - 1450. Let i(d) = h(d) - 25*q(d). Calculate i(z(r)). -12965*r Let d(w) = 65 - 486*w + 884*w - 439*w. Let p(u) = 2*u. Calculate p(d(i)). -82*i + 130 Let z(y) = -14*y. Let q = 37 - 38. Let s be 0 + 14*q/(-2). Let w(g) = -g + s - 7 - 2*g. What is z(w(u))? 42*u Let s(l) = -73995*l**2. Let o(b) = 29*b + 1. Calculate o(s(y)). -2145855*y**2 + 1 Let z(k) = 190*k**2 + 19*k + 19. Let c(x) = 71*x**2 + 7*x + 7. Let j(a) = -19*c(a) + 7*z(a). Let r(p) = p**2 - 12. Determine r(j(b)). 361*b**4 - 12 Let m(x) = -17629*x**2. Let r(n) = -300*n. Calculate r(m(j)). 5288700*j**2 Let o(t) = 40 - 40 - 7*t. Let v(n) = -21*n - 24. Let x(i) = 2*i + 12. Let c(h) = v(h) + 2*x(h). Calculate o(c(g)). 119*g Let a(m) = m**2 + 7. Let r(u) = -2912527*u. Determine r(a(h)). -2912527*h**2 - 20387689 Let o(t) = -53*t**2 - 5. Let c(m) = 54*m**2 + 6. Let y(n) = -5*c(n) - 4*o(n). Let w(d) = -d**2. Give y(w(x)). -58*x**4 - 10 Let x(r) = 3 - 294874*r - 1 + 295150*r. Let t(j) = -3*j**2. Give t(x(p)). -228528*p**2 - 3312*p - 12 Let k(w) = 2*w**2 - 395*w. Let u(y) = -564*y + 295*y + 271*y. Determine k(u(q)). 8*q**2 - 790*q Let o(v) = 620*v. Let y(w) = 6*w**2 - 5*w - 5. Let p(h) = -5*h**2 + 4*h + 4. Suppose 18*a = -90 + 162. Let g(c) = a*y(c) + 5*p(c). Determine g(o(l)). -384400*l**2 Let d(z) = -2*z**2 + 256*z - 1. Let i(t) = 2*t - 2132. What is d(i(v))? -8*v**2 + 17568*v - 9636641 Let j(f) = -130*f**2 - 656*f + 1. Let o(n) = n**2. Determine j(o(v)). -130*v**4 - 656*v**2 + 1 Let h(r) be the first derivative of r**2 - 3. Let y(x) = 160*x**2 - 173 + 69 - 162*x**2. Determine h(y(d)). -4*d**2 - 208 Let z(t) = t**2 + 152169 - 152169. Let j(q) = 84*q. Determine z(j(b)). 7056*b**2 Let j(n) be the first derivative of -n**3/3 - n**2/2 + n + 66. Let v(k) = -48*k**2 - 36*k + 36. Let r(h) = -180*j(h) + 5*v(h). Let q(x) = -x. Determine q(r(s)). 60*s**2 Let q(p) = 38941576*p**2. Let z(o) = 2*o**2. Determine q(z(c)). 155766304*c**4 Let z(m) = 3*m**2. Let u = 290 + 128. Let k be u/88 - (-1)/4. Let n(h) = 6*h - 16*h + k*h + 3*h. Calculate z(n(s)). 12*s**2 Let d(l) be the third derivative of l**5/15 + 10012*l**2 - 4. Let o(h) = 18*h**2 - h + h. What is o(d(x))? 288*x**4 Let j(t) = t - 1. Let b(o) = -4*o - 4. Let i(u) = 2*b(u) - 8*j(u). Let s(n) = -1075*n**2 + 359*n**2 + 353*n**2 + 359*n**2. What is s(i(f))? -1024*f**2 Let x(c) = 2*c**2 + 27. Let o(b) = -618579*b. Determine x(o(a)). 765279958482*a**2 + 27 Let g(f) = -27*f. Let t(l) = -3*l + 22. Let o(z) = -355*z + 66. Let w(d) = -o(d) + 3*t(d). Calculate g(w(s)). -9342*s Let z(n) = 5*n**2. Let a(x) = 207*x - 33. Suppose -907*i - 24 = -901*i. Let q(b) = -6*b + 1. Let s(o) = i*a(o) - 132*q(o). Calculate s(z(d)). -180*d**2 Let k(r) = 54*r. Let v(j) = -1029878*j**2. Calculate k(v(s)). -55613412*s**2 Let f(r) = -221248*r. Let g(t) = t - 195. Determine g(f(p)). -221248*p - 195 Let d(x) = -5*x**2. Let g(c) = 1170*c**2 - 7*c - 7. Let a(y) = 2351*y**2 - 15*y - 15. Let b(m) = -7*a(m) + 15*g(m). Give d(b(z)). -5973245*z**4 Let n be -3 - (-17 - (5 + 0)). Let k(r) = -7*r + 7*r - n*r**2 + 82*r**2. Let f(g) = -3*g**2. Give f(k(l)). -11907*l**4 Let z be (5/((-5)/(-3)))/(1/1). Suppose 24 = 3*s + 5*a, -4*s - z*a + 9 = -4*a. Let n(t) = 0*t - 4*t - 6*t - s*t. Let l(o) = 5*o. What is n(l(w))? -65*w Let g(j) = 103891*j**2. Let h(u) = -20*u. What is g(h(m))? 41556400*m**2 Let k(c) = -c - 8. Let g(x) = 977*x - 575*x - 469*x. Give g(k(r)). 67*r + 536 Let j(c) = 60*c**2 - 2*c. Let k(d) be the second derivative of -d**4/12 + 2*d**2 + 7906*d. Give j(k(x)). 60*x**4 - 478*x**2 + 952 Let c(f) = 1117657*f. Let q(t) = -7*t. Calculate q(c(s)). -7823599*s Let b(y) = y. Let n(q) = -81*q + 274*q + 106*q - q**2 + 56*q. Determine b(n(c)). -c**2 + 355*c Let o = 184 - 186. Let r(t) = -36*t**2 + 45*t - 84. Let a(g) = -5*g**2 + 6*g - 12. Let k(n) = o*r(n) + 15*a(n). Let f(h) = -2*h**2. Determine k(f(v)). -12*v**4 - 12 Let d(u) = 7*u**2 + 5*u - 5. Let x(z) = 10*z**2 + 7*z - 7. Let l(k) = 7*d(k) - 5*x(k). Let c(n) = 1027*n**2. Calculate c(l(m)). 1027*m**4 Let u(m) = 7*m - 14*m + 5*m + 10*m. Let x(q) = q + 30. Let j(f) = 3*f + 25. Let s(o) = 6*j(o) - 5*x(o). What is s(u(a))? 104*a Let f(m) = -12*m**2. Let s(q) = -108701184*q. Determine s(f(a)). 1304414208*a**2 Let c(m) = 6. Let q(n) = 14*n**2 - 30. Let k(a) = 30*c(a) + 6*q(a). Let o(u) = 4*u**2. Give o(k(d)). 28224*d**4 Let m(r) = 1652*r**2. Let y(z) = -150*z**2 + 459. What is y(m(o))? -409365600*o**4 + 459 Let o(q) = 104*q**2 + 2553024*q - 2553024*q. Let l(s) = s**2 + 6*s + 2. Let w be l(-6). Let k(f) = -f**2 + f**2 + w*f**2. Calculate o(k(x)). 416*x**4 Let m(l) = 12*l + 3*l + 18*l - 45*l. Let d(b) = 73*b. What is m(d(g))? -876*g Let m(j) = -2*j + 14*j**2 + 2*j. Let s(x) be the third derivative of -x**7/5040 + 31*x**5/5 + 165*x**2. Let h(n) be the third derivative of s(n). Give m(h(q)). 14*q**2 Let v(z) = 21314*z**2. Let q(g) be the second derivative of -g**4/12 - 2*g + 823. What is q(v(u))? -454286596*u**4 Let p(s) be the third derivative of -2*s**5/5 + 815*s**2. Let q(z) = -z**2 - 28. Give q(p(w)). -576*w**4 - 28 Let y(k) = -91*k + 17. Let b(q) = q. Give y(b(o)). -91*o + 17 Let k(l) = 121*l**3 + 2*l**2 - 2*l - 1. Let j be k(1). Let g(s) = -62*s + j*s - 62*s - 5 - 2. Let f(i) = -2*i**2. Determine g(f(u)). 8*u**2 - 7 Let d(v) = 36947092*v**2. Let g(j) = -j**2. Determine d(g(l)). 36947092*l**4 Let s(i) = -28*i**2 - 7. Let a(x) = 117*x**2 + 30. Let g(h) = 5*a(h) + 21*s(h). Let f(q) = 28*q**2. Give g(f(r)). -2352*r**4 + 3 Let m(u) be the second derivative of -u**4/2 - 40*u - 5. Let n(d) = -60*d**2 - 1. Determine n(m(y)). -2160*y**4 - 1 Let z(k) be the second derivative of k**4/6 + 1330*k. Let p(b) = 58*b**2 - 16. Give p(z(l)). 232*l**4 - 16 Let v(d) be the second derivative of 97*d**4/12 + 2872*d. Let u(o) = 33*o**2. Determine u(v(y)). 310497*y**4 Let h(o) = 4795510*o**2. Let w(f) = 22*f. What is h(w(u))? 2321026840*u**2 Let x(p) = 120
{ "pile_set_name": "DM Mathematics" }
+ l(o). What is v(j(g))? 3*g Let z(a) be the third derivative of -a**5/30 - 11*a**2. Let l(h) = 2*h. What is z(l(s))? -8*s**2 Suppose -5*a + a = -28. Let z = 10 - a. Let r(o) = 2*o**2 - z*o**2 + 0*o**2. Let m(i) = -3*i. Determine r(m(w)). -9*w**2 Let s(g) = -4*g. Let t(i) = -6*i + 4. Let d(n) = 5*n - 3. Let h(k) = -4*d(k) - 3*t(k). Give s(h(a)). 8*a Let z(w) = -1729*w. Let o(p) = -2*p**2. Give z(o(u)). 3458*u**2 Let t(r) = 2*r**2. Let o(a) be the third derivative of -a**8/2880 - a**5/30 - 4*a**2. Let h(x) be the third derivative of o(x). What is h(t(b))? -28*b**4 Let g(v) = -4*v. Let u(d) = d**3 - d**2 - d - 2. Let h be u(2). Let l(z) = h*z - z - 2*z**2 + z. Give g(l(p)). 8*p**2 Let k(i) = 26*i**2. Let u(n) = 8*n. Let a(x) = 3*x. Let y(m) = -11*a(m) + 4*u(m). What is y(k(g))? -26*g**2 Let u(l) be the second derivative of -l**3/2 + l. Suppose 3*q - 3*d = 12, 5*d + 6 = -3*q + 2. Let i(x) = 3 - 2*x**q - 3. Determine u(i(r)). 6*r**2 Let d(y) = -2*y. Let h(f) = -2*f - 6. Let c be h(-4). Let p(b) = -2*b**3 + b**2 + b. Let n be p(-1). Let v(m) = 0*m**c - 4*m**2 + 2*m**n. Calculate d(v(s)). 4*s**2 Let n(q) = 1 - 20*q - 1 + 0. Let y(v) = 2*v**2. Give y(n(a)). 800*a**2 Let d(r) = r**2. Suppose 42 + 43 = -g. Let y(m) = 225*m + 85. Let o(l) = -16*l - 6. Let i(x) = g*o(x) - 6*y(x). Give d(i(u)). 100*u**2 Let x be -15*(3 + -2 - 4). Let a(n) = -3 - x*n + 3 + 48*n. Let g(i) = 2*i**2. Determine g(a(s)). 18*s**2 Let x(q) = q**2. Let n(s) = -2*s**2 + 4901. Give n(x(l)). -2*l**4 + 4901 Let q(b) = b. Let m(d) = -7*d**2 + 3*d. Let v(z) = 15*z**2 - 5*z. Let f(t) = -5*m(t) - 3*v(t). Give f(q(u)). -10*u**2 Let n(w) = -10*w - 1. Let o(k) = 89*k**2. Give o(n(c)). 8900*c**2 + 1780*c + 89 Let c(p) = 8*p. Let i(u) be the third derivative of u**4/12 + 4*u**2. What is c(i(o))? 16*o Suppose 3*o - 10 = -0*o - 2*r, 4*o = r + 6. Let h(z) = -2*z + z + o*z + z. Let n(b) = -4*b**2. Give n(h(a)). -16*a**2 Let j(n) = -37*n**2 + n. Let f(l) = 2*l**2. Determine j(f(a)). -148*a**4 + 2*a**2 Let d(z) = -5*z**2. Let u(c) = 444*c**2. Determine d(u(y)). -985680*y**4 Let w(o) = 2*o. Let l = 84 + -84. Let g(r) be the first derivative of 2 + l*r + 0*r**2 + 4/3*r**3. What is w(g(a))? 8*a**2 Let t(l) = 2*l**2. Let k(w) = -w - 1. Let f(c) = 20*c + 16. Let m(z) = -f(z) - 16*k(z). What is m(t(a))? -8*a**2 Let b(g) = g. Let f(l) = 1474*l**2. Calculate f(b(d)). 1474*d**2 Let x(f) be the third derivative of -f**4/24 + f**3/6 - f**2. Let c(j) = 0 + j**2 + j - 9 + 8. Let y(h) = c(h) + x(h). Let k(t) = -2*t**2. Give y(k(z)). 4*z**4 Let j(u) = -5*u**2 + 34. Let x(s) = 7*s. What is x(j(d))? -35*d**2 + 238 Let l(k) be the second derivative of -k**3 + 51*k. Let j(v) be the first derivative of 0*v**2 + 0*v + 1/3*v**3 - 1. Give j(l(x)). 36*x**2 Let o(b) = b. Let w(v) = 11276*v. Determine o(w(x)). 11276*x Let m(b) = 2*b. Let s(j) = 70*j. Calculate s(m(r)). 140*r Let n(s) = -26*s. Let z(y) = -6*y. Let f(m) = 2*n(m) - 9*z(m). Let g(r) be the first derivative of -2 + 0 + 0 + r**2. Determine f(g(h)). 4*h Suppose 3*f + 5*a = 21, 2*f - 2 = 3*a - 7. Let n(k) = -k**2 - k**f + 0*k**2. Let s(p) = -p**2. What is n(s(c))? -2*c**4 Let m(j) = 13*j - 15 + 15. Let d(l) = l**2. Give m(d(i)). 13*i**2 Let c(y) = y. Suppose -3*l - 2*u + 3 + 1 = 0, 5 = 5*l + 5*u. Let b(d) = -d**2 + 0*d**l + 0*d**2 - d**2. Give b(c(p)). -2*p**2 Let a(x) = -10*x. Let u(y) = -23*y. Determine u(a(s)). 230*s Let p(v) = -182*v**2 - 2. Let w(c) = -5*c. What is w(p(u))? 910*u**2 + 10 Let i(w) be the first derivative of -2/3*w**3 + 1 + 0*w + 0*w**2. Let o(r) = -r**2 + 3*r**2 - r**2 + 0*r**2. Give i(o(g)). -2*g**4 Let l(f) = -4*f**2. Let x(o) = 3*o. Determine l(x(g)). -36*g**2 Let a(x) be the first derivative of 0*x**2 + 0*x + 1/3*x**3 - 1. Let w(h) = -3*h. Give w(a(z)). -3*z**2 Let n(b) = -2*b + 6. Let u(v) = -2*v + 5. Let c(p) = -5*n(p) + 6*u(p). Let w(q) be the first derivative of -5/3*q**3 - 2 + 0*q + 0*q**2. Give w(c(d)). -20*d**2 Let f(c) = -2*c**2. Let r(n) = n**2 - 970*n - 2. Give r(f(v)). 4*v**4 + 1940*v**2 - 2 Let d(z) = -z**2 + 3*z**2 - 8*z**2 + 8*z**2. Let g(c) = -42*c. Determine d(g(x)). 3528*x**2 Let m(p) = p. Let r(a) be the first derivative of 0*a**2 + 0*a + 4/3*a**3 + 10. Give m(r(g)). 4*g**2 Let s be (3 - 0)/(4 - 3). Let m(c) = -s*c - 4*c + 6*c. Let r(x) = 4*x + 0*x + x - 3*x. What is m(r(k))? -2*k Let d(q) = -12*q**2 + 8. Let m(r) = 4*r**2 - 3. Let k(n) = 3*d(n) + 8*m(n). Let c(x) be the third derivative of -x**5/20 + 16*x**2 + 4*x. What is k(c(g))? -36*g**4 Let k be 2 - ((-15)/(-5) + -1). Let p(y) be the third derivative of 0*y**3 - y**2 + k + 0*y - 1/8*y**4. Let l(r) = -r. Calculate l(p(s)). 3*s Let r(f) = -113*f + 2. Let y(k) = -16*k. Give r(y(j)). 1808*j + 2 Let f(u) = 2*u**2. Let k(m) be the third derivative of -5*m**4/24 - 9*m**2. Calculate f(k(l)). 50*l**2 Let t(l) = l**2 + 0*l**2 - 3*l**2. Let y(s) be the second derivative of s**4/6 - s. Calculate y(t(h)). 8*h**4 Let v(h) be the first derivative of 4*h**3/3 - 7. Let t(k) be the second derivative of 0*k**2 + 0 + k - 1/12*k**4 + 0*k**3. Give v(t(x)). 4*x**4 Let b(g) be the third derivative of g**5/60 - 11*g**4/24 + g**3/3 + 3*g**2. Let d be b(11). Let x(v) = v + 2*v**d - v - v**2. Let h(j) = -4*j**2. Give x(h(q)). 16*q**4 Let t(k) = -k. Let c(o) = 6*o + 5. Let n(l) = -3*l - 2. Let b(f) = -3*c(f) - 7*n(f). Let u(j) = 0 + 2 - 3. Let x(w) = b(w) - u(w). Determine t(x(r)). -3*r Let n(y) = -33*y. Let t(s) = -s**2. What is t(n(b))? -1089*b**2 Let n(q) = -q. Let w be 1 + 3*(-3)/(-9). Let g(u) = 15 + u**w - 15. What is g(n(o))? o**2 Let j be -5*(-1)/12 - (-3)/(-12). Let n(w) be the second derivative of 0*w**2 - 4*w + j*w**4 + 0*w**3 + 0. Let q(m) = -2*m**2. Give q(n(k)). -8*k**4 Let s(i) be the first derivative of i**3/3 + 79. Let f(o) be the first derivative of 0*o**2 - 1/3*o**3 + 1 + 0*o. Calculate s(f(n)). n**4 Let x(o) = -2*o**2. Let v(c) = 4449*c. Calculate v(x(b)). -8898*b**2 Let m(s) = 9*s. Let l(q) = -135*q**2 + 1. Determine l(m(i)). -10935*i**2 + 1 Let x(w) be the second derivative of 0*w**2 - 1/6*w**3 + w + 0. Let q(z) = 5*z**2. Determine x(q(j)). -5*j**2 Let n(k) = 23*k. Let d(c) = 47*c**2. Determine n(d(o)). 1081*o**2 Let j(b) = -2*b**2. Let q(f) be the third derivative of -3*f**2 + 0 + 0*f + 1/24*f**4 + 0*f**3. What is j(q(i))? -2*i**2 Let f(t) be the third derivative of -2*t**5/15 - t**2. Let y(h) = h**2. What is y(f(u))? 64*u**4 Let u(z) = -3*z**2. Let f(k) = -35*k**2 + 19*k**2 + 23*k**2. Calculate u(f(h)). -147*h**4 Let i(a) be the second derivative of 0 - 2*a + 0*a**2 - 1/3*a**3. Let y(f) = 3*f. What is i(y(o))? -6*o Let w(f) = -38 - 39 + 4*f + 77. Let l(k) = -4*k**2 + k**2 + k**2. What is l(w(r))? -32*r**2 Let b(h) = 3*h. Let u(d) be the first derivative of 3 + 0*d**2 + 0*d - 1/3*d**3. What is b(u(f))? -3*f**2 Let f(a) = -3005*a. Let j(r) = -6*r**2. Calculate f(j(o)). 18030*o**2 Let v(y) be the third derivative of y**4/6 - 40*y**2. Let h(t) = -2*t - 3. Let r(o) = 3*o + 5. Let w(c) = 5*h(c) + 3*r(c). What is w(v(k))? -4*k Let s(q) = q. Let k(l) = 7*l - 18 + 18. What is s(k(p))? 7*p Let a(z) = -2*z**2. Let u(v) = -v**2 - 75. What is u(a(h))? -4*h**4 - 75 Let p(r) = 260*r - 261*r - 2 - 3. Let n(a) = -a - 3. Let x(o) = 5*n(o) - 3*p(o). Let f(s) = 7*s**2. Calculate f(x(i)). 28*i**2 Let l(f) = -3 + 0*f - f + 4. Let o(m) = -6*m + 5. Let n(a) = 20*l(a) - 4*o(a). Let i(v) = -3*v. Determine n(i(p)). -12*p Let r(l) = 2*l - 4. Let m(q) = 5*q - 11. Let z(p) = 4*m(p) - 11*r(p). Let h(t) be the first derivative of 0*t**2 + 0*t - 1 - 1/3*t**3. Calculate h(z(i)). -4*i**2 Let p(x) = -34*x**2. Let z(i) = 2*i. Determine z(p(s)). -68*s**2 Let v(k) = -k**2. Let y(s) be the third derivative of s**5/20 + 7*s**2. What is y(v(b))? 3*b**4 Let k(g) = 2*g**2. Suppose -r - 2 = -4. Let c(s) be the first derivative of 3 + 0*s**3 + s**3 - r. Give c(k(v)). 12*v**4 Let p(o) = 233*o - 233*o + 4*o**2. Let l(d) = -d**2. Determine p(l(u)). 4*u**4 Let m(d) = -2*d**2. Suppose -6 = -2*q - 0. Let y(r) = -3 - 2*r**2 + q. Calculate m(y(w)). -8*w**4 Let x(h) = 9*h**2 - 5*h - 5. Let n(w) = 5*w**2 - 3*w - 3. Let v(p) = -5*n(p) + 3*x(p). Let j(k) = 2*k**2. What is v(j(o))? 8*o**4 Let i(q) be the first derivative of -2 + 0*q - 3/2*q**2. Let p(j) = -j**2. Determine p(i(u)). -9*u**2 Let i(l) = 34*l**2. Let a(q) = -2*q**
{ "pile_set_name": "DM Mathematics" }
*2. 2*sqrt(5) + 41 Simplify 4*-6*(sqrt(13) - sqrt(52)). 24*sqrt(13) Simplify ((1 + sqrt(15)/sqrt(5))**2 - (sqrt(12) + -2 + sqrt(12))**2) + 1. -47 + 18*sqrt(3) Simplify (sqrt(110)/(sqrt(10)*4) - sqrt(11) - (sqrt(11) + 3)*-1)**2. 3*sqrt(11)/2 + 155/16 Simplify (-2*sqrt(425) - (sqrt(17) + (1 + sqrt(68) - sqrt(68))))**2. 22*sqrt(17) + 2058 Simplify (sqrt(8)*-2 + sqrt(8))/sqrt(4)*1*6. -6*sqrt(2) Simplify (4 + -1 + sqrt(500) + 1 + 3)**2. 140*sqrt(5) + 549 Simplify (sqrt(405) - (sqrt(405) + (sqrt(405) + sqrt(405) + -4)*3 + sqrt(405)))**2. -1512*sqrt(5) + 19989 Simplify (sqrt(22)/(sqrt(99) + (sqrt(99)*-3 - sqrt(99) - sqrt(99)) - sqrt(11)))**2. 2/169 Simplify sqrt(39)/((sqrt(54)/sqrt(3))/sqrt(6)) + 1. 1 + sqrt(13) Simplify (-1 + sqrt(304) + 4 - -2*-2*sqrt(304))**2. -72*sqrt(19) + 2745 Simplify ((sqrt(19) + sqrt(38)/sqrt(2))*-3 - sqrt(114)/(sqrt(12)/sqrt(2)))**2. 931 Simplify (((sqrt(48)/sqrt(4) - sqrt(12))*-5 - sqrt(12))/sqrt(4))**2. 3 Simplify sqrt(12)/(sqrt(18)/sqrt(3))*-2. -2*sqrt(2) Simplify 1 + (-2*sqrt(243))**2 + 5. 978 Simplify -3*(-4 + sqrt(13))*-6*-4. -72*sqrt(13) + 288 Simplify sqrt(304) + 5 + 0. 5 + 4*sqrt(19) Simplify (sqrt(2448)*-1 + sqrt(17))**2 - sqrt(136)/(sqrt(8)*1). -sqrt(17) + 2057 Simplify 5*2*sqrt(19)*-5. -50*sqrt(19) Simplify (sqrt(324)/sqrt(192) - sqrt(27)) + (-2*sqrt(135) - sqrt(135))/sqrt(5). -45*sqrt(3)/4 Simplify (sqrt(5) - (sqrt(5) + 1 + sqrt(5))*5 - (sqrt(140)/sqrt(4))/sqrt(7))**2. 100*sqrt(5) + 525 Simplify (0 + sqrt(320) + sqrt(320) + 5 + -5)**2. 1280 Simplify 3 + (sqrt(52) + 2)**2. 8*sqrt(13) + 59 Simplify 1*sqrt(16)/(-5*sqrt(128) + sqrt(8)). -sqrt(2)/19 Simplify ((sqrt(343) + (sqrt(343) - (1 + sqrt(343))) + 2 - (sqrt(343)*2 + sqrt(343) + -2 - sqrt(343)))*-6)**2. -1512*sqrt(7) + 12672 Simplify sqrt(133)/(3*sqrt(42)/sqrt(6)). sqrt(19)/3 Simplify (-2*sqrt(104)*-5)/(sqrt(968)*3). 10*sqrt(13)/33 Simplify ((-2 + sqrt(931))*4)**2. -448*sqrt(19) + 14960 Simplify 4 + sqrt(252) + (sqrt(252)*-2)**2 + -1. 6*sqrt(7) + 1011 Simplify (3 + sqrt(17))*-4 + (sqrt(51)/(sqrt(9)/sqrt(3)))**2. -4*sqrt(17) + 5 Simplify 0 + ((sqrt(209) + sqrt(209)*1 + sqrt(209) - sqrt(209))*6 + sqrt(209))/sqrt(11). 13*sqrt(19) Simplify sqrt(77)/(sqrt(22)/sqrt(50)). 5*sqrt(7) Simplify ((sqrt(441)/(1*sqrt(7)))/(sqrt(567)/sqrt(7)))**2. 7/9 Simplify sqrt(567)*3 - (sqrt(7) + (1*sqrt(7) + sqrt(7) - sqrt(7))**2 + sqrt(7) + -3). -4 + 25*sqrt(7) Simplify (sqrt(208) - sqrt(208)*1)**2 - (-1 + sqrt(13) + 0)**2. -14 + 2*sqrt(13) Simplify -1*(4 + sqrt(114)/sqrt(6))**2*1. -35 - 8*sqrt(19) Simplify -2*-2*sqrt(833) + 1 + sqrt(1700) + 0. 1 + 38*sqrt(17) Simplify (sqrt(190)/(sqrt(20)/sqrt(2)))**2*6. 114 Simplify sqrt(45)*2 + (sqrt(10)/sqrt(2)*2)**2 + sqrt(5). 7*sqrt(5) + 20 Simplify 5 + 1 + sqrt(833) + 3. 9 + 7*sqrt(17) Simplify (sqrt(6)/(sqrt(8)*-3))**2. 1/12 Simplify (((sqrt(48)/sqrt(4))/sqrt(4) - 2*sqrt(12))*-1)**2. 27 Simplify ((sqrt(363)*-2 + sqrt(300) + -1)**2 + -5)*-3. -1284 - 72*sqrt(3) Simplify (5*sqrt(171)*2)/(sqrt(144)*-2 + sqrt(9)). -10*sqrt(19)/7 Simplify (1 + sqrt(117) - ((2 + sqrt(52))**2 - sqrt(52) - sqrt(13))) + 5. -50 - 2*sqrt(13) Simplify 1 + (sqrt(272)*2 - (-2 + 1 + sqrt(17))). 2 + 7*sqrt(17) Simplify 5*(sqrt(2) + -2)**2*-6. -180 + 120*sqrt(2) Simplify 5*((1 + sqrt(3))*4 + sqrt(3) - (-1 + sqrt(3) + 3))*6. 60 + 120*sqrt(3) Simplify ((sqrt(98)*-3)/sqrt(2))/sqrt(7). -3*sqrt(7) Simplify ((-4*sqrt(10) - sqrt(10))/sqrt(2)*-4)**2*3. 6000 Simplify -6*sqrt(15)/(sqrt(21)/(sqrt(343) - sqrt(7))). -36*sqrt(5) Simplify (sqrt(5) + sqrt(50)/sqrt(10) + -2)**2 + -3. -8*sqrt(5) + 21 Simplify ((-1*sqrt(180) - sqrt(5))**2 - (sqrt(5) + sqrt(50)/sqrt(40))) + (1*(sqrt(720) + -1))**2. -51*sqrt(5)/2 + 966 Simplify -1*6*sqrt(39)/sqrt(3) + (sqrt(26)/((sqrt(16) - sqrt(144))/sqrt(8)))**2. -6*sqrt(13) + 13/4 Simplify (sqrt(2) - (sqrt(16) - sqrt(144))/sqrt(8)) + (sqrt(2) - (sqrt(12)*1)/sqrt(6)). 3*sqrt(2) Simplify (-1*sqrt(1300))**2*4 - (sqrt(1300)*1)**2*5. -1300 Simplify -3*(sqrt(24)/sqrt(8) + sqrt(3) + 0). -6*sqrt(3) Simplify -2 + sqrt(14)/(sqrt(2) - (-2*sqrt(16))/sqrt(8)). -2 + sqrt(7)/3 Simplify (-2 + sqrt(95)/((sqrt(80) - sqrt(20)) + sqrt(20) + sqrt(20)))**2. -2*sqrt(19)/3 + 163/36 Simplify ((-2*sqrt(44)*-4)/sqrt(4))**2. 704 Simplify -4 + (sqrt(128) - (sqrt(128) - -2*sqrt(128))). -16*sqrt(2) - 4 Simplify ((sqrt(210)/sqrt(6))/sqrt(5) + -1*sqrt(7) + 3)**2. 9 Simplify (sqrt(6) - 2*sqrt(600))/sqrt(648). -19*sqrt(3)/18 Simplify (sqrt(12) + sqrt(96)/sqrt(8))/sqrt(6) + -4 + 4 + sqrt(2). 3*sqrt(2) Simplify (sqrt(275) + 3 + sqrt(275))**2 + (-1 + sqrt(11)*3)**2 + -4. 54*sqrt(11) + 1205 Simplify sqrt(504)/(sqrt(32)/sqrt(4)). 3*sqrt(7) Simplify ((-2*sqrt(99)*4)/sqrt(9))**2. 704 Simplify ((sqrt(2268) - (-2*sqrt(2268) - sqrt(2268)))*3)**2. 326592 Simplify (sqrt(176) + 3)**2*-6. -1110 - 144*sqrt(11) Simplify ((sqrt(55) - sqrt(165)/sqrt(3))*5)/((sqrt(5) + sqrt(80))*2). 0 Simplify 5*(sqrt(9)/sqrt(3))**2 + 3. 18 Simplify -2*(sqrt(325) + 1)*6. -60*sqrt(13) - 12 Simplify 2 + (2 + sqrt(605))*3. 8 + 33*sqrt(5) Simplify (-1*sqrt(95) - sqrt(95))/sqrt(5)*-1. 2*sqrt(19) Simplify 4*sqrt(6)/(sqrt(12)/sqrt(4)). 4*sqrt(2) Simplify (sqrt(2) - 4*sqrt(32)) + 2. -15*sqrt(2) + 2 Simplify (6*2*sqrt(7) + (sqrt(84)/(-1*sqrt(12)) - sqrt(7)))**2 - (-6*(sqrt(112) + 1 + sqrt(112)) + sqrt(112)). 44*sqrt(7) + 706 Simplify -5 + (sqrt(637) - (sqrt(637) + sqrt(637)*-1)**2) - (sqrt(637) - ((sqrt(637)*-2)**2 + sqrt(637)))*6. 7*sqrt(13) + 15283 Simplify (sqrt(170)/sqrt(490) + sqrt(17))**2 - 3*2*sqrt(17). -6*sqrt(17) + 1088/49 Simplify ((sqrt(121) - ((sqrt(121) - -1*sqrt(121))*2 + sqrt(121)) - sqrt(121) - sqrt(121)) + sqrt(121))/(1*sqrt(11)*4). -5*sqrt(11)/4 Simplify 1 + sqrt(19) + 1 + sqrt(209)/(sqrt(11)*-2). 2 + sqrt(19)/2 Simplify sqrt(32) + ((-2*sqrt(2592))**2 - sqrt(2592)) + (sqrt(32) + -1)*3. -20*sqrt(2) + 10365 Simplify ((1*sqrt(288))/sqrt(8))/(sqrt(192) + 2*sqrt(192) + sqrt(192)). sqrt(3)/16 Simplify sqrt(143)/sqrt(396) - (sqrt(1300)*-2 + sqrt(1300))**2. -1300 + sqrt(13)/6 Simplify -5 + (sqrt(931) + sqrt(931) + 3*(sqrt(931) + (2 + sqrt(931))**2))*5. 595*sqrt(19) + 14020 Simplify (0 + -1*sqrt(11))**2 + sqrt(22)/(sqrt(2)*1 + sqrt(2)). sqrt(11)/2 + 11 Simplify (sqrt(90)*2)/(-2*sqrt(80)) + 0. -3*sqrt(2)/4 Simplify -5 + sqrt(110)/(sqrt(120)/sqrt(12)) + sqrt(11) + 3. -2 + 2*sqrt(11) Simplify sqrt(468)*2*-1. -12*sqrt(13) Simplify (sqrt(1280) - ((sqrt(1280) - -2*sqrt(1280)) + sqrt(1280)))/(sqrt(90) - sqrt(90)*-1). -4*sqrt(2) Simplify -2 + sqrt(33)/(-3*sqrt(11)). -2 - sqrt(3)/3 Simplify -2 + (sqrt(288) + -2)**2 + 4. -48*sqrt(2) + 294 Simplify (sqrt(70)*-2*-2 - sqrt(70) - sqrt(70))/(sqrt(20)/(sqrt(6)/sqrt(3))). 2*sqrt(7) Simplify 0 + -1 + (0 + sqrt(7))**2. 6 Simplify -2 + sqrt(2736) + 1 - (sqrt(2736) + (sqrt(2736) - (sqrt(2736) - (sqrt(2736) - (sqrt(2736) + 2*sqrt(2736) - sqrt(2736))))*1))**2. -1 + 12*sqrt(19) Simplify 3*(6*(sqrt(320) + -2 + -1))**2. -5184*sqrt(5) + 35532 Simplify (sqrt(342)*-4)/sqrt(2). -12*sqrt(19) Simplify 5*(2*(-1 + sqrt(425) + -3 - sqrt(425)))**2. 320 Simplify ((sqrt(105)/(sqrt(5)*1))/sqrt(3))**2 + -3. 4 Simplify (((sqrt(30)/sqrt(10) - sqrt(3))*4)**2 + 2)*6. 12 Simplify 6*(sqrt(66)/sqrt(54) + sqrt(11) + -1 + -2)**2*5. -240*sqrt(11) + 2570/3 Simplify 3 + 1*(sqrt(20)/sqrt(4) + 4)**2. 8*sqrt(5) + 24 Simplify (-1*(sqrt(190)*2 + sqrt(190)))/(sqrt(810)*-1 - sqrt(810)). sqrt(19)/6 Simplify (6*sqrt(12)/(sqrt(66)/sqrt(11) + sqrt(6)))**2*2. 36 Simplify -6*sqrt(52)*-2 + -1. -1 + 24*sqrt(13) Simplify 1*sqrt(24)/(sqrt(12)*1) - (0 + sqrt(8) + 5). -5 - sqrt(2) Simplify 3*(1 + sqrt(19))*-4. -12*sqrt(19) - 12 Simplify 1*(1 + sqrt(52)). 1 + 2*sqrt(13) Simplify -2*sqrt(22)/(sqrt(6)/sqrt(3)). -2*sqrt(11) Simplify 5 + (sqrt(500) + 1)**2 + 2. 20*sqrt(5) + 508 Simplify (sqrt(14)/(sqrt(72)*2))**2 + 0. 7/144 Simplify ((2*sqrt(7) + 5 - (sqrt(847)*-1)**2) + -4)*6. -5076 + 12*sqrt(7) Simplify -2*sqrt(432) + 4. -24*sqrt(3) + 4 Simplify (-5 + sqrt(12) + 0 - (0 + sqrt(1200)))**2. 180*sqrt(3) + 997 Simplify -5*sqrt(720)*-2*-2*1. -240*sqrt(5) Simplify 3*(1 + sqrt(75)) - sqrt(75). 3 + 10*sqrt(3) Simplify (-3*(sqrt(320) + (sqrt(320) - (sqrt(320) + 1)) + 5))**2. 576*sqrt(5) + 3024 Simplify 1*(sqrt(1872) - (-4 + (sqrt(1872) - (sqrt(1872) + 0)))). 4 + 12*sqrt(13) Simplify -4 + sqrt(20)/sqrt(4) + 0. -4 + sqrt(5) Simplify ((sqrt(60)/sqrt(2))/sqrt(6)*5
{ "pile_set_name": "DM Mathematics" }
and z? 15 Let l(n) = -3*n + 39. Let c be l(-8). Calculate the greatest common divisor of c and 42. 21 Let v(c) = 211*c**2 + 2*c + 1. Suppose r = m + 3 - 4, -6 = -4*m + 5*r. Let g be v(m). Suppose -g = -4*w - w. What is the greatest common divisor of w and 6? 6 Let g be (-999)/(-7) - -5*10/175. Calculate the highest common factor of g and 13. 13 Suppose -2*j + 25 = q, -2*j - 3*q + 62 = 3*j. Let h = -6 + j. Calculate the greatest common divisor of 63 and h. 7 Suppose b = -2*r + 3*r, -3*b = 3*r - 12. Let a be 56 + (-4)/b + 0. What is the highest common factor of 6 and a? 6 Let p = 3 - 2. Let a(r) = -1 + 16*r**2 - p - 2*r + 3. Let k be a(1). What is the highest common divisor of 90 and k? 15 Suppose -341 = -3*a + 2*m, 3*a - 347 = -3*m + 2*m. Let s = a + -69. What is the greatest common factor of 23 and s? 23 Let z(a) = a + 14. Let m be z(0). What is the highest common divisor of 84 and m? 14 Let a be -2 - (2 - (10 + 1)). Suppose 0 = -a*r + 3*r - 2*n + 448, r = -5*n + 130. Suppose 2*h + r = 4*h. Calculate the greatest common factor of h and 5. 5 Let j be (12/(-4) - -6) + (-548)/(-4). What is the greatest common divisor of j and 20? 20 Suppose -10 = 2*v - 3*v + 3*w, -v + 4*w + 10 = 0. What is the greatest common factor of 160 and v? 10 Suppose -t + 9 = -16. Let j = t - 17. What is the greatest common divisor of j and 72? 8 Let v be (-4)/(-16) + (-159)/(-4). Calculate the highest common divisor of 8 and v. 8 Let a(x) = -x**3 + 8*x**2 + 11*x - 9. Let s be a(9). Let c = 12 - 9. Suppose 3*m = -m - c*u + 186, -4 = -2*u. What is the highest common divisor of m and s? 9 Let v(z) be the second derivative of z**5/5 + z**4/12 - z**3/2 + z**2 + 2*z. Let t be v(3). What is the greatest common divisor of 10 and t? 10 Let j be ((-15)/6 + 2)*0. Suppose j*y - 5*y + 10 = 0. Suppose -2*s = -2*c - 44, 2*s + 2*s + 2*c = 64. What is the greatest common factor of s and y? 2 Let d be 4*1 + -1 + 1. Let m(l) = -2*l**2 + 9*l + 10. Let n be m(5). Let s = 41 - n. What is the greatest common factor of s and d? 4 Let j = 100 - 67. Calculate the highest common divisor of j and 3. 3 Suppose -3*p + 42 = 3*j, -j = 4*j - 5*p - 110. Let g = 419 + -239. Calculate the highest common divisor of g and j. 18 Let d(t) = -t + 11. Let w be d(6). Suppose 5*h + 16 = w*v - 14, -15 = 3*h. Let f be ((-24)/(-15))/(v/65). What is the highest common divisor of f and 13? 13 Suppose -7*v + 11*v = 144. Calculate the greatest common divisor of 126 and v. 18 Let u be (39/12)/(2/8). Calculate the highest common factor of u and 65. 13 Let u = 28 + 59. What is the highest common divisor of 58 and u? 29 Let r = -37 + 59. What is the highest common factor of r and 55? 11 Suppose -10 = 2*m + 3*m, 0 = -5*o - 2*m + 71. Calculate the greatest common divisor of o and 10. 5 Suppose 3*s = 4*s, -2*s = -4*q - 64. Let k = 42 + q. Calculate the highest common divisor of 13 and k. 13 Let f = 92 - 58. Suppose 4*q - f = -3*m + 26, 5*m + 38 = q. What is the highest common divisor of q and 6? 6 Suppose 2 = -d, -5*b + 4*d = -d - 15. Suppose 1 = 3*l - 5. What is the greatest common factor of b and l? 1 Let s = -25 - -250. What is the highest common divisor of 90 and s? 45 Let m be -3 + 1/((-3)/(-15)). Suppose l + 0*l - 2 = 0, 26 = m*r - 4*l. What is the greatest common factor of 187 and r? 17 Let t = 654 + -338. Let v be (-1)/(-5) + t/20. Calculate the highest common factor of v and 176. 16 Suppose 0 = -3*p + 1 + 11. What is the greatest common divisor of 44 and p? 4 Suppose -3*d - 2*d - 2*r + 394 = 0, 4*r + 12 = 0. Suppose t = -0*t. Suppose g + 3*g - d = t. What is the greatest common divisor of 140 and g? 20 Let p be -1*12/10*40/(-3). What is the greatest common divisor of p and 24? 8 Let c(m) = -7*m + 1. Let z be c(-5). Calculate the highest common divisor of 9 and z. 9 Suppose 4*u - 54 = u. Calculate the highest common divisor of 12 and u. 6 Let u be (-1122)/(-16) - 2/16. What is the highest common factor of 14 and u? 14 Suppose 3*g + 21 - 141 = 3*n, 145 = 3*g + 2*n. Let k be (-4)/12*1*6. Let u(d) = 4*d**2 + d + 1. Let t be u(k). Calculate the greatest common factor of g and t. 15 Let a be (2 + -4)/(-2) + 2. Let d = 81 + a. What is the highest common factor of 12 and d? 12 Suppose -2 + 30 = x. What is the greatest common divisor of 70 and x? 14 Let m = 3 + 0. Suppose -2*o - 18 = -m*k, k = -0*k - 2*o - 2. Suppose -15 = -k*h + 45. Calculate the highest common divisor of 15 and h. 15 Suppose 3*o - 5 - 13 = h, -18 = -3*o + 2*h. Let u = 8 + 4. Calculate the highest common divisor of u and o. 6 Let k be (9/2)/3*154. Suppose -r + 103 = 5*f, 3*f - 5*r = -f + 94. Calculate the highest common factor of f and k. 21 Let i be 2/(-9) - (-92)/9. Let q be 6/(-15) - (-94)/i. Calculate the highest common divisor of 6 and q. 3 Let v = 5 + 1. Suppose 4*t = t + v. What is the greatest common factor of t and 14? 2 Suppose -3*l - 4 = -2*l. Let k be (2/3)/(l/(-30)). Let a(q) = q - 4. Let z be a(k). What is the highest common divisor of 8 and z? 1 Let f be ((-3)/((-6)/(-2)))/(1/(-84)). What is the greatest common divisor of 7 and f? 7 Let l be (-16)/(-1 - -3) - 2. Let n be 5/l*(-24)/1. What is the greatest common divisor of 8 and n? 4 Suppose 5*w - 8 = t, 3*w + 4*t - 5*t = 4. Let a(j) = 2*j - j**3 + 0*j**3 - 2*j + 3 - j**w. Let h be a(-3). Calculate the highest common factor of h and 231. 21 Let d = 4 - 2. Suppose 0 = a - d - 1. Suppose -p - 176 = -5*z, 0 = -5*z - a*p + 38 + 154. What is the highest common factor of z and 9? 9 Suppose -g + 3 + 1 = -2*f, 4*f - g = -10. Let x = f - -11. Let d = -35 + 59. Calculate the greatest common divisor of x and d. 8 Suppose 264 = 4*q - 484. Calculate the highest common factor of q and 17. 17 Let f(l) = l**3 - 8*l**2 - 9*l - 8. Let k be f(9). Let s = k + 8. Suppose -2*g + 75 - 7 = s. What is the greatest common factor of g and 17? 17 Let x = 116 + -100. What is the greatest common factor of 40 and x? 8 Suppose -3*m + 0*m = -105. Let h be (-575)/(-45) - 4/(-18). Suppose -3*i - h = -55. Calculate the greatest common divisor of i and m. 7 Let i(t) = t**3 - 9*t**2 + 8*t. Let f be i(8). Suppose f = -5*x - 4 + 29. Calculate the greatest common factor of 45 and x. 5 Let p(b) = -2*b**2 + 26*b - 58. Let z be p(9). What is the highest common divisor of 434 and z? 14 Suppose 5*m - 6 = -1. Let z = m - -4. Calculate the highest common factor of 40 and z. 5 Suppose 42 = 5*v - 4*r, 5*r = 2*v + r - 24. Let a be ((-3)/v)/(2/(-40)). Calculate the greatest common factor of 110 and a. 10 Let q = 9 + -4. Let j = 15 - q. Calculate the greatest common divisor of j and 110. 10 Let k = 19 - 10. Suppose -k = 3*h - 6*h. Suppose 2 = -x, -4*l + 98 = -h*x - 4. Calculate the highest common factor of 12 and l. 12 Let l = 11 - 6. Suppose 3*x - 34 = 4*g, -8 = -2*x + l*g + 24. Calculate the greatest common factor of 18 and x. 6 Let u be (12/(-8))/(2/(-88)). Let j be (-12)/(-16)*(-1 - -9). Calculate the greatest common divisor of j and u. 6 Let a be 2/(-2)*(-1 + 2). Let z be (-5)/a*(-6)/(-15). Let i = 17 - z. What is the greatest common divisor of i and 6? 3 Let h be (-2)/5 - (-396)/15. Let y = h - 15. What is the greatest common divisor of y and 11? 11 Let z be 416 - (0 + -3 + 1). Let f = z + -211. Calculate the greatest common divisor of f and 23. 23 Suppose -7 = -3*q + 2. Let f = q - 0. Suppose 224 = 7*x - f*x. What is the greatest common divisor of x and 8? 8 Suppose -5*c + 5*o + 21 - 6 = 0, 0 = -c - 4*o + 13. Suppose -c*d + 3*d + 49 = 5*z, 3*d = 2*z + 26. What is the highest common factor of 48 and d? 12 Let b(a) = 5*a**2 - 2*a + 1. Let z be b(1). Let w = 15 - 13. Suppose w*q + 37 = 109. What is the highest common factor of q and z? 4 Suppose 6*b - 1 = 23. Suppose -b*g - 3 = -5*c, -2 = -2*c + 4. Calculate the greatest common factor of g and 33. 3 Let k be ((-24)/(-5))/(6/30). Let b(l) = -l**3 - 7*l**2 - 6*l + 6. Let g be b(-6). Calculate the greatest common factor of k and g. 6 Let s be (0 - 0) + (-84 - -1). Let a = 127 + s. What is the highest common divisor of a and 22? 22 Suppose -5*u = -0*u - 40. Suppose u - 146 = -3*v. Let c = v - 31. Calculate the highest common divisor of c and 15. 15 Let m(v) = -3*v - 7. Let c be m(-2). Let j be (-2)/6 + 2/6. Let x be (j + c)*-1 + 15. What is the greatest common factor of x and 32? 16 Suppose -t
{ "pile_set_name": "DM Mathematics" }
mallest common multiple of n and 8. 8 Suppose -416 = -4*j - 276. Calculate the smallest common multiple of 240 and j. 1680 Suppose 10 = 3*w - 0*x - x, 2*w + 5*x - 35 = 0. Let g be 0/(-6) + (-2 - 0). What is the lowest common multiple of g/(-4) - 57/(-6) and w? 10 Let q = 2799 + -11289/4. Find the common denominator of q and -7/316. 316 Let i(g) = g**3 - 5*g**2 + 3*g - 5. Suppose 27*j - 30*j = -6. Suppose 9*k - j*k - 126 = 0. What is the least common multiple of k and i(5)? 90 Suppose 3*r - h + 101 = h, -5*h = 2*r + 80. Let m = r + 45. What is the lowest common multiple of 8 and m? 40 Let c = -2 + 12. Suppose 6 = -c*u + 12*u. Calculate the lowest common multiple of u and 7. 21 Let m = 108467/20 + -5419. Let p = -198031/12 + 16491. What is the common denominator of p and m? 60 Let s = -3/75643 - -6278897/13313168. What is the common denominator of s and -31/44? 176 Let o(n) = -5*n + 4. Calculate the smallest common multiple of 23788/939 - 16/(-6) and o(-4). 168 Let i be 12/(-18)*(-111)/(-6). Let f = -337/21 - i. What is the common denominator of -43/6 and f? 42 Suppose 0 = -5*t + 2*f - 2587, 0 = -t - 2*f + 6*f - 521. Suppose w - 6 + 4 = 0, -3*w - 394 = 5*p. Calculate the common denominator of -137/18 and 4/10 - t/p. 144 Suppose 0 = -3*o + 20 + 49. Suppose 0*f = o*f - 506. Let y(x) = 2*x + 4. What is the smallest common multiple of f and y(4)? 132 Suppose 2*n + 800 = 42*n. Suppose -2*h + 40 = -0*h. What is the least common multiple of h and n? 20 Let s(l) = -l**2 + 11*l + 5. Let b be s(11). Suppose -k = -4*q + 10, -2*k - b*q + 26 = -k. Calculate the smallest common multiple of k and 7. 42 Let f be (-9)/(-15) + (-57)/(-5). Suppose -224 = -f*w + 8*w. Calculate the lowest common multiple of 12 and w. 168 Let r = 72 - 37. Let u = -31 + r. Let g(f) = f**3 - 2*f**2 + 2*f + 4. Calculate the smallest common multiple of 18 and g(u). 396 Suppose -3*q + 24 = -0*q + 5*l, 3*q - 24 = 5*l. Calculate the lowest common multiple of q and 184. 184 Suppose -13*o = 56 + 35. Let k be (-2 - -911)*-1*-5. Calculate the common denominator of 2/o + k/840 and -76/3. 24 Let m be (-4)/(-5)*-1*-5. Suppose m*y - 4 = -0. Calculate the least common multiple of (y - -1 - -1) + -1 and 6. 6 Let w(q) be the first derivative of q**2/2 + q - 6. Calculate the least common multiple of 2 and w(1). 2 Let f(i) = -6*i - 20. Suppose 2*s - 10 = -2, 3*s = -2*c. What is the lowest common multiple of f(c) and 76? 304 Let m = 2/36784371 - -960231482029/220706226. Suppose 5*v = 2*o - 5*o - 13067, -v = -o - 4345. Let b = m + o. What is the common denominator of b and -39/4? 36 Let k = -8351543/6028320 - 2/62795. Find the common denominator of k and 1/9. 288 Let n = -11/7167 + 3691313/200676. Let f = -25/28 + n. Calculate the common denominator of 3/12*(-4 + 186) and f. 2 Suppose -3*h = 5*l + 7, -h + 7 = -3*h - l. Let d = -982 - -3022/3. What is the common denominator of (30/33)/(2 + h) and d? 33 Let n = 6162 - 67735/11. What is the common denominator of n and (40/(-15) - -2)/((-16)/612)? 22 Suppose 18 = 2*j + 3*q, -4*j - 3*q = -26 + 2. Calculate the least common multiple of j and 25. 75 Let m be (-11543)/20 + (-12)/4. Let g = -729 - -1307. Let w = g + m. Calculate the common denominator of w and -41/30. 60 Let q = 37247/6 + -6188. What is the common denominator of 1/(4/(20/45)) and q? 18 Let i(c) = -c**2 - c + 29. Let j be i(-6). Find the common denominator of 0 - -3*j/(-6) and (-1)/(-2)*55*-1. 2 Let m(l) = 7080*l. Let d be m(10). Let p be 549110/d - (-2)/3. Let h = p + -14/295. Calculate the common denominator of h and 31/11. 88 Find the common denominator of 89/28 and (-6)/(-20)*(-61610)/(-366). 28 Suppose 0 = -13*r - 69 + 4255. What is the lowest common multiple of r and 18? 2898 Let r = -592 - -1140. Calculate the lowest common multiple of 4 and r. 548 Let f = 103 - 99. Suppose -3*w = 3*g - 564, 3*g + 572 = 6*g - w. What is the common denominator of g/(-32) - (3 - f) and 57/10? 80 Calculate the common denominator of (-13)/((-104)/(-40)) - 201/(-12) and -1 + (-1 - 29/(-42)). 84 Suppose 3*m - 4 = -13. Calculate the smallest common multiple of (4/(-3))/(2/(-3)) and 18 - (-15 - m)/(-6). 16 Let j(d) = -26*d + 2. Let k be j(-3). Calculate the common denominator of 1 - ((-195)/k + -2) and 39/16. 16 Let b be ((-9)/27)/((-1)/174). Let l = b + -38. Calculate the smallest common multiple of l and 12. 60 Find the common denominator of 1162/(-138) + 166/1909 and -88/21. 21 Suppose 6*v - 97 = 35. What is the lowest common multiple of (2/4)/(10/360) and v? 198 Let c(o) = o**2 - 2*o - 9. What is the least common multiple of c(-3) and 42/5 + (-2)/5? 24 Let n = -832 + 1196. Calculate the smallest common multiple of 6 and n. 1092 Let p = 59/14 - 470/119. What is the common denominator of -59/136 and p? 136 Suppose -4*h + 5 = -15, 0 = 2*a - h - 5. Suppose -a*l + 12 = -c, 3*c + 2*l - 48 = -2*c. Let f = 9 - c. What is the smallest common multiple of f and 11? 11 Suppose i - 3*x - 27 = 0, 2*i + x = -6 + 25. Let b = 6 - 34. Calculate the common denominator of 220/i*(-6)/b and -45/16. 112 Let b = -10577 - -190313/18. What is the common denominator of 23/66 and b? 198 Suppose 0 = 1104*t - 1099*t - 20. Calculate the lowest common multiple of t and 60. 60 Let o = 19 - 8. Let m be -2*(4/8 - 3). Suppose -9*s + m*s + 8 = 0. Calculate the lowest common multiple of o and s. 22 Let p = 273 - 245. Calculate the least common multiple of 6 and p. 84 Suppose -4*c + 40 = -2*c. Let j be (180/(-8 + 2))/((-6)/4). Suppose 2*s = 4*t - s - 84, -5*s - j = 0. Calculate the smallest common multiple of c and t. 180 What is the least common multiple of 126 and 1 + ((-7320)/(-10))/6? 5166 Let p = 11 + -9. Suppose p*i = i + 12. Suppose 0 = -4*v - i, q + 2*v - 35 = -0*v. Find the common denominator of -9/7 and q. 7 Suppose -27*d + 11*d + 48 = 0. Calculate the least common multiple of d and 15. 15 Suppose 9 + 321 = -6*l. Let y = 61 + l. What is the least common multiple of y and 6? 6 Let j = -148813 - -17857429/120. What is the common denominator of j and -93/20? 120 Let z be (-946)/(-77) + 4/(-14). Let j = -8 + z. Suppose 16 = 5*o - j. Calculate the smallest common multiple of 3 and o. 12 Let m = 14225/14 - 1021. Calculate the common denominator of -107*(-2)/(-12) - -1 and m. 42 Let v(p) = -p**2 + 4*p + 5. Suppose 4*s - s - 12 = 0. Let r(m) = -8*m + 275. What is the lowest common multiple of r(33) and v(s)? 55 Let n be (-5)/(2 - 4262)*3. Let j = 10933/284 + n. Calculate the common denominator of -1/16 and j. 16 Let w = -7319/112 + 991/14. Find the common denominator of (-16)/(-4) + (-76)/(-48) and w. 48 Let t(f) = 2*f - 11. Suppose 0 = -5*w - 2*o + 48, -w + 4*o + 0*o - 8 = 0. Calculate the lowest common multiple of t(w) and 7. 35 Suppose -3 + 18 = 5*j, l - 2 = -j. What is the lowest common multiple of (40/48)/(l/(-6)) and 3? 15 What is the least common multiple of (-1)/(((-1)/(-40))/((-9)/12)) and 12? 60 Let w = -1041407123273333/5296 + 196640318839. Let z = w + -1413/1324. Let f = -1000 + z. What is the common denominator of f and -85/6? 48 Let c be (4/3)/(2/3). Suppose c*w - 9 = 5. Suppose 0 = 4*t - w - 5. What is the smallest common multiple of t and 5? 15 Suppose -5*x - 4 = 2*k, 10*x - 8*x = -5*k + 32. What is the lowest common multiple of k and 14? 56 Let g = -18 - -124. What is the lowest common multiple of g and 6? 318 What is the least common multiple of 51 and -1*6/(-2)*136/51? 408 Let r be ((-7605)/(-132))/(-15) + (5 - 1). Let w = r - 97/22. What is the common denominator of w and 47/18? 36 Let a = 3 + -15. Calculate the least common multiple of ((-104)/(-6))/((-8)/a) and 5. 130 Let b = 409 + -387. Calculate the smallest common multiple of 30 and b. 330 Let i = -54/5 + -67/10. Suppose 2*s + 2*t - 278 = 3*s, 3*s - t + 854 = 0. Let k = -507/2 - s. Find the common denominator of k and i. 2 Let i be (-4)/6 - 200/(-3). Suppose -5*q - 4*m = -i, 4*m - 3 - 23 = -q. Let k(l) = -5*l + 6. What is the common denominator of -11/8 and k(q)? 8 Let m(n) = -n**2 - 63*n - 328. Calculate the smallest common multiple of 70 and m(-57). 70 Let k = -15 + 19. Suppose k*o = 47 - 15. Calculate the lowest common multiple of o and 10. 40 Suppose -16162 = -4*l + 17370. Let p = 50417/6 - l. What is the common denominator of p and 105/22? 66 Suppose -9 = 2*y + y.
{ "pile_set_name": "DM Mathematics" }
rivative of -34*j*k**3 + 200*j*k**2 + 48455*j + k**2 wrt k? -102*j*k**2 + 400*j*k + 2*k Find the third derivative of 2988444*v**3 + 6834*v**2 + 35*v. 17930664 Find the first derivative of -2*i**4 + 15*i**3 - 9*i**2 + 146*i + 1138501 wrt i. -8*i**3 + 45*i**2 - 18*i + 146 Find the third derivative of -8*l**5 + 1399*l**4 + 591366*l**2 wrt l. -480*l**2 + 33576*l What is the third derivative of -987917*y**3 - 837407*y**2? -5927502 What is the derivative of 7521*t**4 + 2*t - 17457 wrt t? 30084*t**3 + 2 Differentiate 6*g*u*x + 3*g*u + g*x + u*x + 14059*u + 127*x with respect to x. 6*g*u + g + u + 127 What is the third derivative of c**3*d**2*f**3 - 83527*c**3*d**2 - 57*c**2*d**2*f**3 - 19*c*f**3 - 5*c*f - d**2*f**3 wrt c? 6*d**2*f**3 - 501162*d**2 What is the second derivative of -866*q**3*t**3 + 2*q**3 - 14*q**2*r*t - q*r*t**2 + 23*r*t**3 - 4027*r*t wrt t? -5196*q**3*t - 2*q*r + 138*r*t What is the second derivative of -2*a**2*i**3 - 3*a**2*i - 58457*a**2 + 2*a*i**3 + 45715*i**3 wrt i? -12*a**2*i + 12*a*i + 274290*i Find the third derivative of -56545*m**5 + 2*m**4 - 6*m**3 - 617139*m**2 - 4 wrt m. -3392700*m**2 + 48*m - 36 Differentiate 927*b*n**3 + 4*b*n**2 - 21*b*n + 3*b + 1832227*n**3 wrt b. 927*n**3 + 4*n**2 - 21*n + 3 Find the second derivative of -22998*k**2 - 12645*k wrt k. -45996 What is the derivative of -1113973*c**2 + 298277 wrt c? -2227946*c Find the second derivative of -227564*w**2 - 244734*w wrt w. -455128 Find the third derivative of -862*z**4 - 38*z**3 + 154980*z**2 wrt z. -20688*z - 228 Differentiate -425789*v**3 - 1289200 wrt v. -1277367*v**2 What is the third derivative of -8*l**3*v**3 + 2986*l**3*v**2 - 81*l*v**3 - 489*v**3 - 83*v**2 wrt v? -48*l**3 - 486*l - 2934 What is the third derivative of -6*k**4*n - k**4 - 99*k**3*n - 13*k**3 - 12*k**2*n + k**2 - 3*k*n - 9*k + 6 wrt k? -144*k*n - 24*k - 594*n - 78 Find the second derivative of 27671*n**3*o**2*u**3 - 3*n**3*o*u**2 + 2*n**3*u**3 - 967*n**2*o*u**2 - 4*n*u**3 + n wrt o. 55342*n**3*u**3 What is the first derivative of 853842*v + 4624089? 853842 What is the second derivative of -61*z**4 + 5549*z**2 - 1982570*z wrt z? -732*z**2 + 11098 Find the third derivative of 5*d**6*g**2 + 2090*d**4*g**2 - 2*d**2*g**2 + d**2 + 2*d + 3142 wrt d. 600*d**3*g**2 + 50160*d*g**2 Find the second derivative of 260*g**2*t**2 - 6*g**2*t - 18*g**2 + 17*g*t**2*y - g + 3*t**2*y + 63*t*y - 1 wrt t. 520*g**2 + 34*g*y + 6*y Find the first derivative of -40623*h**3 - 41*h + 4517561. -121869*h**2 - 41 What is the second derivative of -10934*v**2 + 3*v - 22211? -21868 Differentiate 15*b*m**2*x + 47*b*m - 107*b*x - 2*m**2*x + 111*m**2 - 614*m*x with respect to b. 15*m**2*x + 47*m - 107*x What is the derivative of 8*p**4 + 2*p**3 - 7*p**2 - 134*p + 1569038? 32*p**3 + 6*p**2 - 14*p - 134 What is the derivative of a*i**2*v**2 - 15860*a*i**2 - 2*i**2*v**2 - 4*i**2*v - 97*i*v + 10*v**2 wrt a? i**2*v**2 - 15860*i**2 What is the third derivative of 1657*s**4 + 17*s**3 + 126*s**2 - 702*s wrt s? 39768*s + 102 Find the second derivative of 25848*b**2 + 96435*b. 51696 Find the third derivative of 66*d*i**3*q - 2*d*i**2 - 10*d*i*q - 69*d*q - 2*d + 1220*i**3*q + 3*i**2*q + 3*q wrt i. 396*d*q + 7320*q Find the second derivative of -2*f**3*i**3 + 10*f**3*i - 3*f**2*i + 197056*i**4 + i + 6002 wrt i. -12*f**3*i + 2364672*i**2 What is the first derivative of 60*q**3*w - 119*q**3 + q**2*w - 108096*w wrt q? 180*q**2*w - 357*q**2 + 2*q*w Find the first derivative of -h**2*j - 28*h**2 + 76*h*j**3 - 2*h + 36001*j**3 wrt h. -2*h*j - 56*h + 76*j**3 - 2 What is the third derivative of 28332*u**5 + 212543*u**2 wrt u? 1699920*u**2 What is the third derivative of 2*g**6 + 221*g**5 - 225*g**4 + 103510*g**2 + g wrt g? 240*g**3 + 13260*g**2 - 5400*g Find the first derivative of -4921*g*w**3*y - 4*g + 21*w**3 + 38*w*y - y + 1 wrt g. -4921*w**3*y - 4 Find the third derivative of 334183*s**5 - s**4 + 90*s**2 - 12724*s. 20050980*s**2 - 24*s What is the first derivative of m**4 + 1599*m**3 - 4*m**2 - 1193 wrt m? 4*m**3 + 4797*m**2 - 8*m What is the third derivative of -2225*j*t**5 + 3*j*t**3 - 260*j*t - 2*t**3 - 66*t**2 wrt t? -133500*j*t**2 + 18*j - 12 Find the second derivative of 532*d**2*l**3*w - 586*d**2*w**3 + d*l**3 - 19*d*l**2*w**2 + 8*d*l**2 + 7*d*l*w**2 + 3*w**3 + 19 wrt d. 1064*l**3*w - 1172*w**3 What is the derivative of 2*m**4 - 10*m**3 - 703*m**2 + 884227? 8*m**3 - 30*m**2 - 1406*m Find the third derivative of -7*b**6 - b**5 - 46*b**4 - 2*b**2 - 10236 wrt b. -840*b**3 - 60*b**2 - 1104*b What is the third derivative of 17118*b**3 + 221635*b**2? 102708 What is the derivative of -2446213*a + 3855500? -2446213 What is the third derivative of -162710*b**3 - 2544*b**2 + 43*b + 1? -976260 Differentiate 8*s*z**3 + 1258*s*z + 572211*s - 2*z**4 + 2 with respect to z. 24*s*z**2 + 1258*s - 8*z**3 Find the second derivative of -782*o**3 - 5*o**2*t + 34*o*t - 2*o - 409*t - 7 wrt o. -4692*o - 10*t Find the second derivative of -24448*t**4 - t**2 - 25623*t wrt t. -293376*t**2 - 2 What is the third derivative of -8513*f**6 - 85506*f**2? -1021560*f**3 What is the first derivative of 52*o**2 + 173*o - 12975? 104*o + 173 Differentiate 2*a*q**2 + 39457*a*q + q**2 - 9245*q - 3 with respect to a. 2*q**2 + 39457*q Find the third derivative of 63027*a**6 + 2*a**5 + a**4 + 4*a**2 - 200328*a wrt a. 7563240*a**3 + 120*a**2 + 24*a Find the second derivative of 4*b**2*t**3 + 6089*b**2 - 15*b*t - 6*b + 127*t**3 wrt b. 8*t**3 + 12178 Differentiate 768773*r**2 - 557012. 1537546*r Differentiate 12*i**3*o**2 + 23*i**3 - 3435*i*l - 2*l*o**2 + 12*o**4 wrt o. 24*i**3*o - 4*l*o + 48*o**3 What is the second derivative of -41*d**3*k*n - 3*d**3*k - 15*d**3 + d*n + 37*k - 1240 wrt d? -246*d*k*n - 18*d*k - 90*d Find the second derivative of 1705724*t**4 + 4296530*t. 20468688*t**2 What is the first derivative of -887*x**4*y**3 + 3*x**4 + y**3 + 96*y - 16 wrt x? -3548*x**3*y**3 + 12*x**3 Find the second derivative of 41*k**4 - 2*k**3 + 2*k**2 + 13953*k wrt k. 492*k**2 - 12*k + 4 What is the third derivative of 607*k**3*v*y + 4*k**3*v - 6*k**2*v*y - 10*k**2*v - 62*k*v*y wrt k? 3642*v*y + 24*v Find the third derivative of -28*m**5 - 78*m**4 + 2*m**3 - 3*m**2 + 2*m - 6. -1680*m**2 - 1872*m + 12 What is the third derivative of 4*j**3*x**2 + 4125*j**3*x - j**3 - 2*j**2*x**2 + 29*j**2 - j + 6723*x + 2 wrt j? 24*x**2 + 24750*x - 6 Find the third derivative of 4*b**5 - 18690*b**4 + 2247361*b**2 wrt b. 240*b**2 - 448560*b Differentiate 3813*l**2 - 107*l - 2445914 wrt l. 7626*l - 107 Differentiate -11*p**3 - 39*p**2 + 45*p + 478313 with respect to p. -33*p**2 - 78*p + 45 Find the third derivative of -20*g**3*y + 245*g**3 - 67305*g**2*y - g*y wrt g. -120*y + 1470 What is the first derivative of 409*o**2 + 16*o - 20293? 818*o + 16 What is the third derivative of -2*c**5*x + 210*c**3*x - 2*c**3 + c**2*x + 14782*c**2 + 2*x wrt c? -120*c**2*x + 1260*x - 12 Differentiate -12*c*d*h - 3279*c*d + 381088*c*h + d wrt d. -12*c*h - 3279*c + 1 Find the second derivative of -344861*r**5 - r**2 + 12113*r + 8 wrt r. -6897220*r**3 - 2 What is the derivative of -8*u**3 + 81*u**2 + 4*u + 1591895? -24*u**2 + 162*u + 4 What is the third derivative of -6*g**6*h + 1573*g**4*h**3 + 412*g**2*h**3 + g**2*h**2 + 9*g**2*h - 5*h wrt g? -720*g**3*h + 37752*g*h**3 What is the third derivative of 578*q**3*v**3 + 38320*q**3*v**2 - 611*v**3 - 28*v**2 wrt v? 3468*q**3 - 3666 What is the first derivative of -70681*r**2 + 5*r + 3127066 wrt r? -141362*r + 5 What is the third derivative of -460*s**6 - 8*s**5 + s**4 - 73608*s**2? -55200*s**3 - 480*s**2 + 24*s Find the second derivative of -222165*s*x**2 - 525*s + 668*x wrt x. -444330*s What is the third derivative of -11*c*d*i**3 + 7162*c*d*i**2 - c*d*i - 2*c - d*i**2 + 272*i**3 wrt i? -66*c*d + 1632 Find the first derivative of 31*r**3 - 29*r**2 - 14345 wrt r. 93*r**2 - 58*r Find the third derivative of -2230*g**3*v**3 - 41*g**3*v**2 - 49*v**4 - 132*v**2 wrt v. -13380*g**3 - 1176*v Differentiate -3374983*a - 2218612 with respect to a. -3374983 What is the second derivative of -2705*j**3*n**2 + 4*j**3*n*o + 3*j**3*n + j**3*o - 9*j**2*n + 5*j*n*o + 2*n**2*o wrt n? -5410*j**3 + 4*o What is the first derivative of 488119*n*s + n + 290*s + 1885 wrt n? 488119*s + 1 Find the t
{ "pile_set_name": "DM Mathematics" }
+ 4*k(g)? -4*g**2 Let u(x) = -2*x**2 - 2*x - 2. Let n(f) = -f**3 - 7*f**2 - 5*f - 7. Suppose 3*j - 256 = -5*t, 2*j = 2*t + 22 + 122. Suppose -s + 12*s = j. Give s*u(h) - 2*n(h). 2*h**3 - 4*h Let r(v) = 29*v. Let b(x) = x**2 + x - 7488. Let t be b(86). Let i(d) = 116*d. Give t*i(n) + 22*r(n). -58*n Let q(f) = 65*f**2 + 10. Let t(x) be the first derivative of -22*x**3/3 - 3*x - 44. Calculate -3*q(h) - 10*t(h). 25*h**2 Let k(w) = -3*w. Let u(r) = 15*r + 50. Let m be u(-4). Let l(n) = 3*n + 27. Let t be l(m). Let i(c) = 1. Give t*i(a) + k(a). -3*a - 3 Let u = -7 - -5. Let p = -184 + 19. Let a = p + 170. Let i(g) = 3*g**2 + 4. Let b(j) = 7*j**2 + j + 9. What is a*i(x) + u*b(x)? x**2 - 2*x + 2 Let b(i) = i**2 - 1. Let w(h) = -h**3 + 7*h**2 - 7. Let p(c) be the first derivative of 4*c**2 + 34*c - 11. Let a be p(-6). Determine a*b(y) + 2*w(y). -2*y**3 Suppose 3*o + 885 = 3*d, -3*o - d + 1192 = -7*o. Let s(j) = 1150*j**2 - 299. Let l(t) = 23*t**2 - 6. Determine o*l(r) + 6*s(r). 23*r**2 Let f(t) = 76*t**3 - 3*t**2 + 3*t + 3. Let p(n) = -559*n - 1756. Let l be p(-3). Let c(h) = -1975*h**3 + 79*h**2 - 79*h - 79. Calculate l*f(r) - 3*c(r). -79*r**3 Let n(c) = 780*c - 3. Let h(b) = -b**2 + 828*b - 4. Calculate -2*h(f) + 3*n(f). 2*f**2 + 684*f - 1 Let v = 14 + -10. Suppose 0 = 36*m + 58*m - 6768. Suppose -m*r - v = -76*r. Let t(b) = b - 3. Let u(c) = 1. Give r*t(s) + 3*u(s). s Let n(j) = -3307 - 3316 + 6616 + 13*j. Let i(s) = -25*s + 13. Determine 6*i(c) + 11*n(c). -7*c + 1 Let o be 9*((-2)/(-9) + 140/252). Let t = 6 + -4. Let m(g) = 22*g + 3. Let d(j) = -7*j - 1. Determine o*d(b) + t*m(b). -5*b - 1 Let l(v) = -v**2. Let c(g) = 135*g. What is -c(u) - l(u)? u**2 - 135*u Let n(q) = -q**3 - 4*q. Let x(r) = -433*r**3 + 6*r + 4. Give 2*n(c) + x(c). -435*c**3 - 2*c + 4 Let c(q) = 6*q + 1. Let o(b) = 5*b + 1. Let p(v) = -6*c(v) + 7*o(v). Let k(y) = 19 - 14*y + 23 + 14 + 21 - 71. What is k(n) - 8*p(n)? -6*n - 2 Let t(g) = 4*g**2 - 9*g - 3. Let s be (21/63)/(8/24). Let o(w) = w**2 - w - 1. What is s*t(i) - 5*o(i)? -i**2 - 4*i + 2 Suppose -57964 = -30*y - 58354. Let p(k) = 16*k - 18. Let m(c) = 15*c - 17. Let j(z) = 5*m(z) - 4*p(z). Let g(q) = 5*q - 6. Calculate y*g(v) + 6*j(v). v Let n(q) = -18*q**2 + 52*q - 15. Let m(i) = -10*i**2 + 23*i - 8. Determine -7*m(x) + 3*n(x). 16*x**2 - 5*x + 11 Let r(w) = -4*w**3 - 12*w**2 - 5*w + 5. Let h(k) = -11*k**3 - 33*k**2 - 14*k + 15. What is -3*h(d) + 8*r(d)? d**3 + 3*d**2 + 2*d - 5 Let u(x) = -33*x**3 - 12*x**2 - 62*x + 21. Let i(o) = 28*o**3 + 11*o**2 + 63*o - 18. What is -7*i(n) - 6*u(n)? 2*n**3 - 5*n**2 - 69*n Let r(m) = -3*m - 2. Let x(p) = -6 + 35 + 21*p - 14. Determine -15*r(i) - 2*x(i). 3*i Let z(u) = -82*u**3 + 15*u**2 - 30*u + 14. Let o(r) = 158*r**3 - 28*r**2 + 60*r - 26. What is 7*o(t) + 13*z(t)? 40*t**3 - t**2 + 30*t Let t(y) = 33*y - 195. Let s be t(6). Suppose -6*q + 8*q + 5 = v, 3*q = s*v - 6. Let c(z) = -2*z - 1. Let u(k) = k**2 + k - 1. Give v*u(h) + c(h). -h**2 - 3*h Let o(p) = -44*p - 212. Let z(f) = -29*f - 139. Determine 7*o(x) - 11*z(x). 11*x + 45 Let o(k) = -5*k - 444. Let f(r) = -9*r - 881. What is -4*f(l) + 7*o(l)? l + 416 Let n(v) = -3*v - 1. Let w(i) = -i**2 + 3*i + 401. Let k be w(-19). Let z(s) = -8*s - 3. Suppose 2*m + 0*m + 16 = 0. Let c = m - -14. Calculate c*z(a) + k*n(a). 3*a - 1 Let p(f) = 3*f**2 - 4*f - 1. Let h(y) = -5*y**3 + 9*y**2 - 14*y + 58. Give -h(c) + 3*p(c). 5*c**3 + 2*c - 61 Suppose 7*r - 17 = 4. Suppose n = -1 - r. Let x(m) = 3*m**3 + 4*m**2 + m - 5. Let y(g) = -8*g**3 - 11*g**2 - 3*g + 14. Give n*y(o) - 11*x(o). -o**3 + o - 1 Let j(b) = -8*b**3 + 4. Let h(u) = 8*u**3 - 7*u**2 + 28*u - 1. Let a(i) = -7*i**3 + 6*i**2 - 24*i + 1. Let d(v) = 7*a(v) + 6*h(v). What is 8*d(z) - 2*j(z)? 8*z**3 Let n(j) = 34398*j - 189. Let w(k) = 2752*k - 15. Give -5*n(p) + 63*w(p). 1386*p Let h(i) = 3*i**3 - 36*i**2 - 5*i + 18. Let n(p) = p**3 - 21*p**2 - 2*p + 9. Determine -2*h(b) + 5*n(b). -b**3 - 33*b**2 + 9 Let n(x) be the third derivative of -7*x**4/24 - x**3/2 + 97*x**2 - 5*x. Let h be (-1)/((-1)/(-2)) - (2 + 29). Let f(m) = -57*m - 24. Determine h*n(l) + 4*f(l). 3*l + 3 Let s(x) = 5*x**3 + x - 1. Let o(d) = 21*d**3 - 4*d**2 + 41*d - 5. Determine o(p) - 5*s(p). -4*p**3 - 4*p**2 + 36*p Let a(y) = 25*y - 1. Let g(i) = 2241*i + 5. Calculate -5*a(w) - g(w). -2366*w Let m(b) = -9*b + 31. Let h(v) = -14*v + 47. Suppose 0 = -5*i - 4*s - 48, 2*i + 12 = 167*s - 165*s. What is i*m(r) + 5*h(r)? 2*r - 13 Let c = -49 + 50. Suppose -2 = 2*p + 2*q, -4*q - q - 17 = p. Let f(l) = -p*l + 6*l - c + l**3 + 4. Let w(r) = -2*r**3 - 5*r - 5. What is 5*f(y) + 3*w(y)? -y**3 Let x(g) = 3*g**2 + 5*g + 4. Let u(i) = 5*i - 228. Let m be u(51). Suppose -14*k - m = 29. Let b(f) = 7*f**2 + 11*f + 9. Give k*b(n) + 9*x(n). -n**2 + n Let h(v) = 16*v**2 + v - 25. Let j(y) = -2*y**2 - 5. Calculate 3*h(b) - 15*j(b). 78*b**2 + 3*b Let o(c) = 61*c**3 - 6*c**2 + 2*c + 1. Let b(s) = 122*s**3 - 13*s**2 + 4*s. Let p(h) = 6*b(h) - 13*o(h). Let i(k) = -30*k**3 - k - 6. What is -13*i(v) + 6*p(v)? 24*v**3 + v Let a(o) = 6*o**3 + 5*o**2 - 16*o. Let k be 60/(-8)*(-54)/81. Let p(c) = -9*c**3 - 8*c**2 + 24*c. Give k*p(j) + 8*a(j). 3*j**3 - 8*j Let z = -9 + 16. Suppose -3*a + z = 16. Suppose -252*o - 217*o + 434*o = 35. Let l(i) = i - 1. Let x(h) = -4*h + 4. Calculate a*l(y) + o*x(y). y - 1 Let q(s) = -4*s**2 + 2*s**2 - 5*s**2 - 8*s**2. Let l(i) be the second derivative of 1/12*i**4 + 0*i**2 + 0 + 0*i**3 - 18*i. Determine -33*l(m) - 2*q(m). -3*m**2 Let b(w) = -118*w**2 - w - 74. Let a(d) = -299*d**2 - d - 149. Determine -2*a(h) + 5*b(h). 8*h**2 - 3*h - 72 Let p(s) = -s - 3. Let l(q) = -3*q - 9. Let m(x) = 8*x**2 - 5*x - 42. Let z be m(-5). Suppose -z = 3*f - 192. Determine f*l(o) - 8*p(o). -o - 3 Let s(a) = 51179323*a + 15002. Let j(g) = 37527*g + 11. Calculate 15002*j(b) - 11*s(b). 7501*b Let n(l) = -7*l**3 - 7*l**2. Let a(r) be the second derivative of -r**5/20 - r**4/12 + 1064*r. Calculate 6*a(b) - n(b). b**3 + b**2 Suppose -49*v + 314 - 20 = 0. Let j(y) = 6*y**3 - 3*y + 3. Let p(n) = -54*n**3 + 26*n - 26. What is v*p(u) + 52*j(u)? -12*u**3 Let w(b) = -4*b**2 + 2*b - 3. Let u(i) = 11*i**2 - 5*i + 8. Let k = 5706 + -5698. Calculate k*w(s) + 3*u(s). s**2 + s Let w(c) = c + 17. Let m(v) = 67*v + 16. Calculate -4*m(q) + 4*w(q). -264*q + 4 Let z(y) = 191*y**2 + y. Let n(p) = -4*p**2 - 2*p + 1. Give 2*n(r) + 2*z(r). 374*r**2 - 2*r + 2 Let b(q) = q**3 + 7*q**2 - q. Let l = -13848 - -13850. Let x(n) = -3*n**3 - 15*n**2 + 2*n. What is l*x(p) + 5*b(p)? -p**3 + 5*p**2 - p Let g = -36 - -45. Let z(y) = 43*y**2 - 9*y + 13. Let f(t) = -21*t**2 + 4*t - 6. Calculate g*f(x) + 4*z(x). -17*x**2 - 2 Let l(t) = -373*t + 22. Let x(r) = -383*r + 19. Give -5*l(c) + 6*x(c). -433*c + 4 Let a(x) = 9*x. Let d(j) = -j - 2. Let p(c) = 1. Let h(n) = -d(n) - 2*p(n). Suppose -94 = 65*s - 29. Calculate s*a(u) + 6*h(u). -3*u Let t(o) = -68*o**3 - 28*o**2 - 23*o - 14. Let c(g) = g**3 - 4*g**2 + g - 2. Determine 7*c(r) - t(r). 75*r**3 + 30*r Let k = 0 - -4. Let h(v) = -6*v**3 - 4*v**2 - 3*v - 4. Let z be ((-9)/15*4)/((-2)/5). Let g(o) = -z*o**3 + 5*o**3 - 1 + 1 - o**2 - 1. Determine k*g(u) - h(u). 2*u**3 + 3*u Let r(a) be the second derivative of -a**4/12 - 7*a**3/6 + 7*a**2/2 - a - 5475. Let w(k) = -4*k + 4 - 5 + 5*k. What is -3*r(s) - 21*w(s)? 3*s**2 Let b(o) = -o - 1. Let m(z) be the second derivative of 45*z**2/2 - 3353*z. Give 45*b(g) + m(g). -45*g Let g(t) be the second derivative of -t**3 + t - 169. Let h(j) = -j + 1. Calculate g(n) + h(n). -7*n + 1 Let c(x) = 5*x**3 + 16*x + 1946726*x**2 - 2 - 1946723*x**2 + 1. Let b(r) = 14*r**3 + 8*r**2 + 47*r - 2. Give 3*b(z) - 8*c(z). 2*z**3 + 13*z + 2 Let r(g) = -6*g**3 - 2*g**2 + 5*g - 7. Let w(j) = 3*j**3 + j**2 - 2*j + 3. Let y be (-26)/14 - -1 - (-1666)/343. Determine y*r(d) + 9*w(d). 3*d**3 + d**2 + 2*d - 1 Let d(u) = -599. Let k(r) = 214. Let w(l) = -5*d(l) - 14*k(l). Let v(b) = -11*b + 4. Suppose -p + 6 = 2*z + p, -4*p = 3*z - 11. Give z*v(q) + 4*w(q). -11*q Let f(k) = -135*k**2 - 5*k - 4. Let t(w) = -w**2 - 5*w - 2. Determine f(l) - t(l). -134*l**2 - 2 Let w(y) = 25*y**3 - 5*y**2 - 20*y - 503. Let x(f) = 37*f**3 - 7*f**2 - 28*f - 755. Calculate -7*w(b) + 5*x(b). 10*b**3 - 254 Let u(f) = -f**2 + 1. Let t(v) be the first deriv
{ "pile_set_name": "DM Mathematics" }
4)/18? False Let l = -6 - -6. Let v(m) = m**3 - m**2 - m + 3. Let k be v(l). Suppose -d - z = -31, k - 5 = z. Is d a multiple of 32? False Let w be 560/(-72) + (-4)/18. Let a(y) = -y**3 - 8*y**2 - 4*y - 8. Does 24 divide a(w)? True Let o = 5 + -3. Suppose 5*a - 6 = 9. Suppose -o*w = -2*i - 0*w + 90, a*w = 4*i - 178. Is i a multiple of 13? False Suppose 6*c + 265 = 1105. Is c a multiple of 28? True Let g(d) = d**3 + 9*d**2 + d + 9. Let s be g(-9). Suppose s + 152 = x. Is x a multiple of 17? False Let h(p) = -7*p**3 - 3*p**2 + p + 2. Let r be h(-3). Let u = r - 113. Is u a multiple of 24? True Suppose -5*i - 3*z = -2, i = 4*i - 5*z + 26. Let c(r) = -13*r**3 + 4*r + 4. Does 8 divide c(i)? False Let u(z) = z**3 + 4*z**2 - 4*z + 5. Let j be u(-5). Let r be j/2*-1 - -3. Suppose -v = r*v - 36. Is 6 a factor of v? False Let m(w) = -5*w**2 - 9*w + 6. Let x be m(4). Let a = x - -201. Is a a multiple of 14? False Suppose -17 + 21 = 2*d. Suppose -d*x + 5*x + 2*h - 1048 = 0, -351 = -x + h. Is 20 a factor of x? False Let h be (-2)/5 + (-51)/(-15) + 220. Suppose x - 4*x = 5*z + 801, 0 = 2*x + 4. Let m = h + z. Is m a multiple of 14? False Is 19 a factor of 1166/2 - (-24 + 32)? False Let x(l) = l**2 - 9*l + 1. Let p be -1 - -6 - (-1 - 0). Let a(s) = 3*s**2 - 26*s + 2. Let n(f) = p*a(f) - 17*x(f). Is 19 a factor of n(9)? False Let y = -118 + 115. Does 16 divide (y - -233) + (6 - 3)? False Let r = 589 + -378. Let d = r + 143. Does 59 divide d? True Let i = -315 + 72. Let m be (i/(-4))/(1/4). Suppose w - 4*w + m = 0. Does 27 divide w? True Suppose 4*d = d + 9. Suppose 5*b + 0*b + 2*i - 76 = 0, -56 = -d*b + 4*i. Let p = -1 + b. Is 5 a factor of p? True Let z(k) = -38*k - 1. Let r be z(-1). Let f(d) = -4*d - 26. Let n be f(-12). Suppose n = 3*g - s + 2*s, -3*g + 2*s + r = 0. Is g a multiple of 4? False Suppose 3*a - 98 - 121 = 0. Suppose a = 4*i - 4*n - 83, -2*n = -4*i + 156. Is i a multiple of 5? False Suppose 4*f - 240 = -6*f. Suppose 0 = -t - 5*x + 25, -5*t + f = -2*t - 2*x. Is t a multiple of 5? True Suppose 20*y + 235 = 25*y. Let m = y - 2. Is m a multiple of 9? True Let k(n) = -n**3 + 8*n**2 - 6*n + 1. Let l be k(4). Suppose -166 = -5*b - 3*o, 5*b = 2*o + 88 + 93. Let w = l + b. Is 20 a factor of w? False Let g = -19 - 0. Let w = g - -29. Does 14 divide (28/w)/1*5? True Let n(u) = -12*u - 9*u**2 + 7 + 9*u**3 + 22*u**2 - 10*u**3. Let m be n(12). Suppose 0 = -z + m + 1. Is 2 a factor of z? True Let p(f) = 5*f + 12. Let q be p(7). Suppose 46*i + 195 = q*i. Does 43 divide i? False Suppose 5*f - 17 + 5 = m, 5*m = f - 12. Is 161/2 + m/(8 + -4) a multiple of 16? True Let v(h) = 11*h + 5. Let f be v(-2). Let a = 21 + f. Suppose 2*k - l - 3*l - 28 = 0, 3*k = a*l + 48. Does 4 divide k? True Let g(d) be the third derivative of -d**6/120 - 3*d**5/20 + d**4/6 + 13*d**2. Let f(t) = -t**3 + 6*t**2 - t - 4. Let w be f(6). Does 15 divide g(w)? True Suppose 0*a + 24 = -a - 5*x, -18 = 2*a + 4*x. Does 21 divide (-11 + (0 - a))*-14? True Let g(t) = -5*t + 0*t + 0 + 3*t + 2. Let q be g(2). Is 12 - (-3 - (q + 1)) a multiple of 7? True Suppose -5*z + 5*r - 4 = r, 5 = -4*z + 5*r. Suppose z = -2*a + 4*a - 24. Is a a multiple of 8? False Suppose 2*x + 4*v = 7*x - 127, 0 = 2*x - 5*v - 61. Suppose x = 6*i - 7. Let c(d) = d**2 - 3*d - 6. Does 4 divide c(i)? True Suppose 7*a = 3*a + 16. Suppose 4*v - 24 = -a*z, 3*v - 16 = -2*z - v. Suppose z*g - 135 = -g. Is 19 a factor of g? False Let v(g) = 3*g**3 + 16*g**2 + 20*g - 20. Is 15 a factor of v(8)? True Let h be (-3 - 28/(-20))/(1/(-30)). Suppose 2*w - 102 = -0*w - 3*j, -3*j = w - h. Is w a multiple of 18? True Let g(p) be the first derivative of -p**4/4 + 7*p**3/3 - 8*p + 11. Does 10 divide g(6)? False Let b(o) = -2*o - 4. Let p be b(-4). Suppose 0 = -2*s + p*s - 4. Suppose s*a - 7 = 5. Does 3 divide a? True Does 11 divide (-3 - (-6)/3) + 386? True Suppose -30 = 4*k - t + 417, 221 = -2*k + 3*t. Let b = k - -182. Let f = b - 28. Is f a multiple of 13? False Let y be -6*(4/2 - 3). Let g(h) be the third derivative of h**5/60 + 5*h**4/24 - h**3 - 5*h**2. Does 20 divide g(y)? True Let q be 35/(-10) - ((-18)/4 + 3). Is ((-5 - q) + 4)*(156 + 1) a multiple of 14? False Let t(z) be the third derivative of 5*z**6/24 - z**5/20 + z**4/12 - z**3/2 + 11*z**2. Let d be t(3). Suppose 8*v - d = v. Is 14 a factor of v? False Let a(m) = 9*m**3 - 3*m**2 - 4*m - 7. Let s be a(-2). Let x = 151 + s. Is 34 a factor of x? True Let h = 91 + -88. Suppose -5*n + 1447 = -r, 4*n - 5*r - 1154 = -h*r. Is n a multiple of 29? True Suppose 1175 + 90 = 5*p. Is p a multiple of 15? False Suppose 2*b + 0*b - 220 = q, 0 = 2*b - 4*q - 214. Let i = b - 57. Suppose 4*c = c + i. Is c a multiple of 9? True Let j be (-2 + 0 - 0) + 2. Suppose j = p - 2*p. Suppose p*b + 78 = 2*b. Does 13 divide b? True Suppose 3207 + 1801 = 8*w. Is w a multiple of 26? False Let l(y) = -y**2 + 13*y - 4. Suppose -5 = c - 2*c. Let t be l(c). Let i = t + -27. Is i a multiple of 2? False Suppose 3*s + 3*u - 562 = -u, 4*s + 4*u = 748. Let c = s - 126. Is c a multiple of 17? False Suppose -11*p = -9*p - v + 36, -96 = 5*p - 4*v. Let n = 126 + p. Does 11 divide n? True Let w be -2*(-4)/36 + 10/(-45). Does 24 divide -8*(-36)/3 + w/(-4)? True Let c(b) be the third derivative of 5*b**4/12 - b**3/6 + 42*b**2. Does 3 divide c(4)? True Let y be (-6 + 4)/(4/(-10)). Does 4 divide (y/2 - 2) + (-1125)/(-18)? False Let o(p) = 2*p - 1. Let b be o(-1). Let q = -3 - b. Suppose q*z - 72 = -2*z. Is z a multiple of 11? False Suppose 4*o = -l + 261, -225 = -l + 13*o - 8*o. Is l a multiple of 24? False Let z be (-2)/(-8) + 1948/16. Suppose -5*d - 4*g + 99 = -53, -4*d - 3*g = -z. Suppose 0 = q - d - 4. Does 9 divide q? True Is 30 a factor of 1*60/9*(-906)/(-8)? False Let n = -39 - -140. Does 15 divide n? False Let y = 784 - 34. Suppose -5*m - 755 = -5*z, 0 = -2*z - 3*z + 4*m + y. Let k = z + -23. Does 29 divide k? False Does 13 divide (65/2)/((-13)/(-130))? True Suppose s = f + 4, 0 = s + 4*s - 4*f - 19. Suppose 9 = x - 16. Suppose -v = -2*a - 14, s*v + 5*a - x = -2*v. Is v a multiple of 6? False Let b(c) = c + 4. Let k(d) = 2*d + 8. Let u(h) = -5*b(h) + 2*k(h). Let l be u(-9). Suppose 0 = 4*r - 4*w - 232, -223 = -4*r - l*w + 6*w. Does 14 divide r? False Suppose z = 3*z - 2. Let w be 24 + 0 + (-3)/z. Suppose 0 = -4*r + 2*f + 34, -5*r + f + 26 + w = 0. Is r a multiple of 5? True Suppose -2*h + 7031 = 22*s - 17*s, -4*h - 5*s + 14077 = 0. Is h a multiple of 46? False Suppose -p + 1095 = 3*t, -53*t = 2*p - 57*t - 2150. Is 19 a factor of p? True Suppose 13*k + 272 = 9*k. Let q = 16 - k. Does 21 divide q? True Let i = 29 + -22. Let s be ((-6)/i)/((-17)/2142). Suppose 6*d = 8*d - s. Is 20 a factor of d? False Let m(l) be the second derivative of -l**5/20 - l**4/3 + l**3/2 + 2*l**2 + 3*l. Let c be m(4). Is 17 a factor of -1 + 3 + c/(-2)? False Suppose 3*h + 126 = 2*t, h = -5*t + 1 - 26. Let s = h + 90. Is 10 a factor of s? True Let i = -1 + 0. Let h(q) = -25*q - 3. Let v(w) = 51*w + 7. Let o(p) = 5*h(p) + 2*v(p). Does 11 divide o(i)? True Suppose 3*x - 50 = -d - 0*d, 4*x + 4*d = 56. Is x a multiple of 6? True Let f be (2 - 59)*(-44)/12. Suppose -4*u + 5*h + f = -62, -3*u = h - 189. Suppose 16 = 4*z - u. Does 10 divide z? True Let u = 42 + -30. Suppose -u = -5*b + 8. Suppose 178 = b*x + 26. Is x a multiple of 11? False Let d(k) = -3*k**3 - 11*k**2 - 10*k + 12. Let b(m) = -m**3. Let t(s) = 4*b(s) - d(s). Let g be t(12). Let x = 60 + g. Is 20 a factor of x? False Suppose 4*u - 4 = -i + 5*i, 0 = -5*i + 10. Suppose 6*h - 46 = u*h + 2*t, -h + 11 = -5*t. Is 16 a factor of h? True Suppose -9*b + 48 = -6*b. Let q be (0/2 - -1)*-3. Is 4 a factor of b - (-1 - (q + 0))? False Is (-8 - -7)/(1/(-49)) a multiple of 49? True Let k = 88 - -17. Suppose 0 = 5*x + 5*s - k, -4*s = 2*x - 10 - 42. Is 8 a factor of x? True Let w(r) = 34*r**2 - 4*r + 94. Does 86 divide w(-10)? False Let s(h) be the first derivative of -h**3/3 - 11*h**2/2 - 12*h + 6. Suppose -d - 5*q = 4, 5*d - 4*q = q - 50. Does 6 divide s(d)? True Let h = 110 + -135. Does 5 divide 1/(10/h)*(0 + -22)? True Suppose -1823 = -9*d + 634. Does 8 divide d? False Does 10 divide 96 - -26 - (6 + 2)? False Let j(f) be the third derivative of 1/120*f**6 + f**3 + 0 - 5*f**2 + 5/24*f**4 + 0*f - 1/12*f**5.
{ "pile_set_name": "DM Mathematics" }
ded by 52. 51 What is the remainder when 78259 is divided by 78171? 88 What is the remainder when 32628 is divided by 213? 39 What is the remainder when 1664 is divided by 125? 39 What is the remainder when 7176 is divided by 1790? 16 What is the remainder when 829640 is divided by 928? 8 Calculate the remainder when 164 is divided by 142. 22 Calculate the remainder when 49855 is divided by 182. 169 Calculate the remainder when 257763 is divided by 826. 51 What is the remainder when 4646 is divided by 774? 2 Calculate the remainder when 635 is divided by 8. 3 What is the remainder when 58917 is divided by 23? 14 Calculate the remainder when 366188 is divided by 111. 110 What is the remainder when 19320 is divided by 77? 70 What is the remainder when 30266 is divided by 27? 26 Calculate the remainder when 1433 is divided by 558. 317 What is the remainder when 5061 is divided by 175? 161 Calculate the remainder when 80990 is divided by 395. 15 What is the remainder when 1371 is divided by 331? 47 Calculate the remainder when 198411 is divided by 455. 31 Calculate the remainder when 41910 is divided by 102. 90 Calculate the remainder when 2613334 is divided by 166. 162 What is the remainder when 2954 is divided by 611? 510 What is the remainder when 37892 is divided by 36? 20 Calculate the remainder when 8333 is divided by 2630. 443 Calculate the remainder when 499326 is divided by 188. 186 What is the remainder when 1638 is divided by 325? 13 What is the remainder when 584306 is divided by 57? 56 Calculate the remainder when 185 is divided by 9. 5 What is the remainder when 2811775 is divided by 176? 175 What is the remainder when 304225 is divided by 38026? 17 What is the remainder when 143247 is divided by 191? 188 Calculate the remainder when 3117755 is divided by 301. 298 What is the remainder when 1541 is divided by 510? 11 What is the remainder when 4137 is divided by 690? 687 Calculate the remainder when 593843 is divided by 41. 40 What is the remainder when 616179 is divided by 20? 19 What is the remainder when 1172029 is divided by 86? 21 Calculate the remainder when 9991 is divided by 343. 44 What is the remainder when 3340 is divided by 184? 28 What is the remainder when 1875919 is divided by 1048? 1047 Calculate the remainder when 537 is divided by 52. 17 What is the remainder when 931512 is divided by 1105? 1102 What is the remainder when 1106103 is divided by 276518? 31 Calculate the remainder when 19962 is divided by 1136. 650 Calculate the remainder when 178243 is divided by 20. 3 What is the remainder when 1459 is divided by 371? 346 What is the remainder when 95035 is divided by 38? 35 Calculate the remainder when 40045 is divided by 62. 55 Calculate the remainder when 659221 is divided by 16. 5 What is the remainder when 81774 is divided by 25? 24 Calculate the remainder when 19496 is divided by 929. 916 What is the remainder when 2507 is divided by 1068? 371 Calculate the remainder when 717178 is divided by 103. 92 What is the remainder when 7999 is divided by 2665? 4 Calculate the remainder when 5537 is divided by 478. 279 Calculate the remainder when 2548 is divided by 198. 172 What is the remainder when 23133 is divided by 61? 14 Calculate the remainder when 187 is divided by 138. 49 Calculate the remainder when 3272 is divided by 809. 36 What is the remainder when 116612 is divided by 99? 89 What is the remainder when 37302 is divided by 119? 55 Calculate the remainder when 6259 is divided by 58. 53 Calculate the remainder when 19416947 is divided by 2030. 2027 What is the remainder when 28203 is divided by 28007? 196 What is the remainder when 6643 is divided by 256? 243 Calculate the remainder when 42715 is divided by 1068. 1063 What is the remainder when 731 is divided by 187? 170 Calculate the remainder when 1011 is divided by 13. 10 What is the remainder when 5912369 is divided by 1611? 1610 What is the remainder when 3138 is divided by 1012? 102 What is the remainder when 4895 is divided by 813? 17 What is the remainder when 30982 is divided by 1556? 1418 Calculate the remainder when 17777 is divided by 808. 1 What is the remainder when 845 is divided by 824? 21 What is the remainder when 10693 is divided by 191? 188 Calculate the remainder when 65763 is divided by 16437. 15 What is the remainder when 535289 is divided by 70? 69 Calculate the remainder when 9238 is divided by 43. 36 What is the remainder when 8812 is divided by 872? 92 Calculate the remainder when 3999 is divided by 303. 60 Calculate the remainder when 13202 is divided by 27. 26 Calculate the remainder when 5830 is divided by 2802. 226 Calculate the remainder when 37459 is divided by 76. 67 What is the remainder when 8309 is divided by 2073? 17 Calculate the remainder when 6753 is divided by 2977. 799 What is the remainder when 6707 is divided by 412? 115 What is the remainder when 11581 is divided by 2890? 21 Calculate the remainder when 15615 is divided by 23. 21 Calculate the remainder when 10014 is divided by 7662. 2352 What is the remainder when 653662 is divided by 20? 2 Calculate the remainder when 1897510 is divided by 11. 10 What is the remainder when 3235 is divided by 646? 5 Calculate the remainder when 7681 is divided by 110. 91 Calculate the remainder when 32009 is divided by 3553. 32 Calculate the remainder when 101804 is divided by 2037. 1991 What is the remainder when 48525 is divided by 48525? 0 What is the remainder when 8685 is divided by 65? 40 What is the remainder when 27165 is divided by 9050? 15 Calculate the remainder when 22812 is divided by 184. 180 Calculate the remainder when 5052 is divided by 279. 30 What is the remainder when 16380 is divided by 5449? 33 What is the remainder when 2858772 is divided by 79? 78 What is the remainder when 11938 is divided by 2370? 88 What is the remainder when 102571 is divided by 24? 19 Calculate the remainder when 2181465 is divided by 266. 265 What is the remainder when 349505 is divided by 35? 30 Calculate the remainder when 1406 is divided by 1379. 27 What is the remainder when 84875 is divided by 37? 34 What is the remainder when 76826 is divided by 93? 8 Calculate the remainder when 641805 is divided by 12. 9 Calculate the remainder when 228 is divided by 61. 45 What is the remainder when 1985 is divided by 1970? 15 What is the remainder when 2911 is divided by 626? 407 Calculate the remainder when 55270 is divided by 8. 6 What is the remainder when 17104 is divided by 105? 94 Calculate the remainder when 268526 is divided by 148. 54 What is the remainder when 634468 is divided by 40? 28 What is the remainder when 19388 is divided by 24? 20 Calculate the remainder when 2951 is divided by 146. 31 What is the remainder when 19070 is divided by 1278? 1178 What is the remainder when 2237 is divided by 42? 11 What is the remainder when 125932 is divided by 62945? 42 Calculate the remainder when 31273 is divided by 311. 173 What is the remainder when 6612 is divided by 602? 592 Calculate the remainder when 3797 is divided by 10. 7 What is the remainder when 2716 is divided by 63? 7 What is the remainder when 139406 is divided by 627? 212 Calculate the remainder when 3219 is divided by 150. 69 What is the remainder when 131534 is divided by 19? 16 What is the remainder when 39875 is divided by 9? 5 What is the remainder when 644153 is divided by 98? 97 What is the remainder when 585620 is divided by 553? 546 Calculate the remainder when 14198 is divided by 4727. 17 Calculate the remainder when 78246 is divided by 2173. 18 Calculate the remainder when 8795 is divided by 157. 3 Calculate the remainder when 10087 is divided by 2750. 1837 Calculate the remainder when 68867 is divided by 142. 139 Calculate the remainder when 235168 is divided by 90. 88 Calculate the remainder when 121885 is divided by 586. 583 What is the remainder when 4124104 is divided by 994? 992 What is the remainder when 5154 is divided by 1961? 1232 What is the remainder when 513966 is divided by 26? 24 Calculate the remainder when 66374 is divided by 4424. 14 What is the remainder when 1561 is divided by 495? 76 Calculate the remainder when 10503 is divided by 1497. 24 What is the remainder when 47005 is divided
{ "pile_set_name": "DM Mathematics" }
a factor of i(9)? True Suppose 0 = 73*g - 43*g - 64530. Is g a multiple of 22? False Let a(p) = -p - 13. Let i be a(-13). Suppose -o - o - 2 = -l, i = 2*o - 6. Is l even? True Let m(u) = u**3 - 9*u**2 + 13*u - 26. Does 13 divide m(9)? True Let x(d) = -d**2 - 6*d. Let c be x(-4). Let g = -447 - -923. Suppose 357 = 3*o + s, 4*o - c*s + 3*s = g. Is o a multiple of 26? False Let c(z) = -12*z**3 - 5*z**2 - 18*z - 1. Is 72 a factor of c(-4)? False Suppose -13*z = -12*z + 128. Does 16 divide ((-18)/(-8))/((-6)/z)? True Is (-4 - (4 - 73))*(29 + -25) a multiple of 13? True Suppose -2*q + 10 = -4*t, 2*q - 3 + 1 = -4*t. Let l(h) = 89*h**2 + 3*h + 2 - 86*h**2 + 1 - h**3. Is l(q) a multiple of 6? True Let h = 466 - 1014. Is (-2)/7 + h/(-7) a multiple of 36? False Let t(h) = 18*h - 12. Let z be t(4). Let k = z - 42. Is 5 a factor of k? False Let y = 399 - 21. Is y a multiple of 10? False Let v(t) = -t**3 + 6*t**2 - 5*t + 12. Let r be v(5). Let b(n) = n**3 - 10*n**2 - 4*n - 27. Is 10 a factor of b(r)? False Let t be (-18 - -18) + (-11)/1. Does 19 divide -6*t/(99/114)? True Let w(n) = -31*n + 53. Does 16 divide w(-5)? True Let d = 620 + 3039. Is d a multiple of 69? False Let a = -7 + 10. Suppose 5*d - 8*f - 140 = -a*f, 61 = 2*d - 3*f. Suppose -g + 3*h + 80 = -d, 5*g + 3*h - 425 = 0. Is 10 a factor of g? False Suppose 23*i + 2367 = 32*i. Is 33 a factor of i? False Suppose -10*u + 42 = -4*u. Suppose 6 - 39 = -3*b. Let k = b - u. Does 3 divide k? False Suppose -4 = -5*k + 6. Suppose -4*z = -k*z + 16. Does 6 divide 24*(-1)/z*4? True Let h = -11 - -14. Let q be 4/2 - (-588)/h. Does 13 divide q/12 + (-2)/(-4)? False Suppose -90 = 8*g - 9*g. Is 18 a factor of (18/(-15))/((-1)/g)? True Let w(i) = 69*i - 1302. Is 108 a factor of w(38)? False Let h(f) = -f**3 - 11*f**2 - 26*f - 14. Let p be (-12)/30*(25 + 0). Is h(p) a multiple of 7? False Let k = 2 - -2. Let q = -85 + 215. Suppose -k*w + q = w. Is w a multiple of 12? False Let i(a) = -9*a + 11. Suppose -58 = -9*v + 86. Let m = -20 + v. Is 9 a factor of i(m)? False Suppose 225 = 5*h - 2*h. Is 15 a factor of h? True Let r = -16 + 21. Suppose -3*x = r*d - 56, -5*d + 4*x + 32 = -d. Does 5 divide d? True Let t(w) be the second derivative of w**5/20 - w**4/4 + w**3/3 - w**2 + 4*w. Suppose 30 = 5*n - 5*y, 18 = n + 3*n - 2*y. Is t(n) a multiple of 3? False Let a = -3 + -7. Let s = 13 + a. Suppose 0 = -4*g - 3*h + 83, s*h - 16 - 16 = -g. Is g a multiple of 17? True Let g(z) = 318*z**2 - 3*z + 2. Is g(1) a multiple of 21? False Let z(c) be the first derivative of 19*c**2/2 - 50*c + 12. Is 24 a factor of z(6)? False Let z(h) = 3*h + 57. Let f be z(-17). Suppose 2*x + 408 = -x. Does 17 divide x/(-4)*9/f? True Let g = 30 + 420. Let s = g + -256. Is 37 a factor of s? False Let l = -485 + 1175. Is l a multiple of 30? True Does 2 divide 18*(3 + (-30)/(-12) + -4)? False Let x(h) = h**2 - h - 10. Let s be x(4). Suppose z = -5*b + 212, z + 82 = s*b - 0*z. Does 14 divide b? True Let n be -3 + 2 + (-7)/(7/94). Let r = 128 + n. Is r a multiple of 20? False Let o(x) = -x + 8. Let u be o(3). Suppose -u*c + 0*c = -240. Is 16 a factor of c? True Suppose 0 = -2*r + 2*s, -4 = -r - s - 0*s. Suppose r*z + z + 312 = 0. Does 4 divide (-920)/z - 4/(-26)? False Let q(r) = -r**3 + 16*r**2 - 6*r + 13. Let k be q(14). Does 7 divide 10/(-35) + (k/7)/3? False Suppose -21521 = -119*t + 22033. Is t a multiple of 3? True Let f(k) = k**3 - 6*k**2 + 3*k + 3. Let w be f(6). Let q be w/(-28)*(-1 + -3). Is 1*(117/3)/q a multiple of 4? False Let z = 52 - 52. Suppose -j = 5*v - 29, j + 2*v + v - 27 = z. Is 5 a factor of j? False Let h(k) = k**3 + 9*k**2 - 16*k - 20. Let a(r) = -3*r**2 + 5*r + 2. Let p be a(3). Does 6 divide h(p)? False Suppose -6*n = -n - 40. Suppose n + 4 = 3*l. Suppose l*i + i - 80 = 0. Does 5 divide i? False Suppose 4*v = 4*k - 124, -v + 4*k = k + 35. Let q = v - -48. Is 6 a factor of q? False Suppose -5707 = -7*r + 1979. Does 46 divide r? False Suppose 93*c = 90*c + 600. Is c a multiple of 48? False Suppose 5*j - 1445 = 230. Does 17 divide j? False Let p(v) = 6*v. Let a be p(2). Let c be 3/a - (-34)/(-8). Is 10 a factor of (-186)/c*4/6? False Is 6 + 590 - (-10)/(-1) a multiple of 28? False Let p(c) = c**3 - 3*c**2 + c + 6. Let q be p(3). Let b(l) = l**2 - l + 11. Does 19 divide b(q)? False Suppose -2*q = 2*s - 396, 10 + 10 = -5*s. Does 34 divide q? False Let i(f) = 12*f**2 - 1. Let o be i(1). Let h(x) = 2*x + x**2 - 7 - 2*x + o. Is 4 a factor of h(0)? True Let u be -3 - (-6)/2 - 43. Let b = u - -71. Is 2 a factor of b? True Let l(j) = j**2 + 11*j - 15. Suppose -4*s - 77 = -5*f, -4*f + 4 = -2*s - 42. Let d be l(s). Let q = 36 - d. Is 25 a factor of q? True Let b = -26 + 30. Let q(s) = -1 + 14 + 51 - b - s. Is q(0) a multiple of 20? True Let g be 5 + (-4 + 7 - 1*2). Does 13 divide 22/g*(-6)/4*-16? False Let d = -3 + 6. Let o(u) = 4*u - d + 3 + u**2 - 3*u. Is 8 a factor of o(3)? False Let x be (112/(-10))/(2/(-5)). Suppose -7*q - x = -9*q. Is q even? True Suppose 5*t + 3*p = 32, -31*p + 32*p = 2*t - 15. Is t even? False Suppose 5*w - 4*g - 34 = 0, 7 = 6*w - 4*w + 5*g. Let b be 4/w - 170/(-15). Is (-3)/b + (-525)/(-20) a multiple of 26? True Suppose -2*n = -n + 3*z - 54, 0 = 2*n + 4*z - 104. Let t = n - 9. Does 9 divide t? False Suppose -4*c + 610 = -t - 1689, -1753 = -3*c - 5*t. Does 48 divide c? True Suppose 25*t + 42 - 17242 = 0. Is t a multiple of 5? False Suppose 1958 = p - 4*i - 3629, -i = p - 5607. Does 7 divide p/91 + (-3)/(-7)? False Suppose -u + 23 - 9 = -2*f, -u + 24 = -4*f. Suppose p - u*w = -p + 76, -w = -4*p + 117. Suppose -2*b = -3*b + p. Is 12 a factor of b? False Suppose -5 = -3*j + 13. Let t be (-226)/(-7) - j/21. Is ((-246)/(-8))/(12/t) a multiple of 19? False Let y = 1304 - 255. Suppose -351 = -10*u + y. Is 14 a factor of u? True Let w(r) = r**3 + 8*r**2 - 17*r + 6. Is 8 a factor of w(6)? True Let z = 101 - 99. Suppose z*c + 3*a = 217, -a = 3*c - 2*a - 331. Is c a multiple of 11? True Does 84 divide (-239434)/(-91) + (-16)/14? False Suppose -u + 109 + 15 = 0. Suppose 2*i + 4*y + u = 0, -3*y - 5 = 2*y. Is 8/(-60) - 2948/i a multiple of 7? True Suppose 0 = 4*t - 10 - 6. Let a(v) = 6*v**2 - 5*v - 2. Let o(l) = -l. Let f(d) = a(d) - o(d). Is 39 a factor of f(t)? True Let g(p) = -p + 5 + 43*p**2 + 2 - 38*p**2 - 3. Is g(2) a multiple of 22? True Let m be (-55)/(-10) + ((-6)/(-4) - 2). Suppose -3*i + 4*o = -7*i + 340, -4*o = m*i - 424. Does 14 divide i? True Let b(a) = 2*a**3 - 5*a + 5. Let t be (0 - -1)/((-3)/(-6)). Let c be b(t). Let r = c + -7. Does 3 divide r? False Let s(l) be the second derivative of l**5/10 - l**3/6 + l**2/2 - 2*l. Let b be s(1). Suppose -45 = -5*q - 3*o, 0*q + b*o = -q + 2. Is q a multiple of 4? True Let l = 433 - 246. Is 11 a factor of l? True Suppose 5*r = 2*u + 33, -3*u = 5*r + 1 + 36. Let g = 71 + u. Does 7 divide g? False Let q(o) = -o**3 - 7*o**2 + 4*o - 9. Let t be (-24)/(-4)*(-6)/4. Is 17 a factor of q(t)? False Let b be (15/((-12)/4))/(3/21). Suppose -62 = 3*s + 130. Let g = b - s. Is 24 a factor of g? False Suppose -4*s + 58 - 38 = 0. Suppose -s*u - 21 = -241. Is 8 a factor of u? False Let l(b) = 31*b - 189. Is l(7) a multiple of 4? True Let g(a) = -6*a + 6*a**2 + 4*a + 13 - 5*a**2. Is g(-8) a multiple of 15? False Let k = 309 - 216. Suppose -4*d + 236 = 3*v, -3*d + 84 = v - k. Does 16 divide d? False Let l be 6/(-21) - 2932/28. Is (-6)/(-5)*l/(-6) a multiple of 4? False Let s = -113 + 201. Suppose -g - s = -q, -5*q - g + 88 = -328. Is 15 a factor of q? False Let l(y) = -y**2 + 15*y + 4. Let c be l(18). Let o = c + 181. Does 16 divide o? False Suppose -3*f = 12, -580 = -3*r - f + 115. Is r a multiple of 11? False Suppose -2*q - 2164 = -5*m + 105, 3*q - 1374 = -3*m. Does 18 divide m? False Suppose -26 = -3*i - 11. Suppose 0 = -i*k + 6*k - 73. Is k a multiple of 8? False Let t be (-7)/(4/(-12)*1). Let a = t + -5. Is a a multiple of 16? True Let u(o) = 129*o**2 - 48*o - 214. Is 91 a factor of u(-5)? False Suppose -5 - 5 = -5*k. Suppose 200 = -4*m - 2*t, -t = 2 + k. Let v = -34 - m. Is v a multiple of 7? True Suppose o = 5*f + 10, -o + 5*f = 3*o - 40. Suppose o*l = 6*l - 12. Is l/4 - (-2488)/32 a multiple of 35? False Let g(l) = 15*l**2 - 12*l - 28. Does 35 divide g(-4)? False Suppose -3*t = 3*n - 69,
{ "pile_set_name": "DM Mathematics" }
k*j + j - 2*y = 0, j + 2*y + 6 = 0 for j. 2 Suppose 31*z - 183 - 158 = 0. Solve 3*x - z = p, -p - 2 + 1 = 2*x for p. -5 Suppose 0 = -2*y - l - 139 + 147, 2*y + 5*l = 24. Solve -y*a = -15*z + 11*z + 4, 0 = -a - 4*z - 2 for a. -2 Let r(u) = -5*u**2 + 20*u + 5. Let n be r(4). Solve n*t = 4*l + 14, -5*l - 15 = -2*t - 3*t for t. 2 Suppose -8*j - 132 = -11*j. Let n = j + -38. Solve 3*l + 4*c = 3, -2*l - 5*c = -n*l + 35 for l. 5 Suppose -d + 20 = 23. Let k be 2 + -3 + 0 - (d - 3). Solve 0 = -q - k*n + 9, -3*q = -q - 2*n + 6 for q. -1 Let c(d) = -d**3 - 7*d**2 - 8*d + 25. Let k be c(-3). Solve -t + 8 = 3*s, 5*s - 2*t + 4*t = k for s. 3 Suppose 0 = 43*o - 48*o + 15. Solve -3*g = o*k + 12, g + 3*k + 0 = -6 for g. -3 Suppose 30 = 25*n - 19*n. Suppose 3*v = n*i - 35, 6*i - 21 = 3*i - 2*v. Solve g = -4, 2*x - g - i = -x for x. 1 Let k be (2/(-2))/((-1)/3*1). Solve q = -0*q + w + 1, 5*w = k*q + 3 for q. 4 Suppose 2*d = -5*u + 3*u + 8, -3*u = -5*d - 4. Suppose -5*r = -3*z - 1, z - r + 8 = u*z. Solve 4*c = 2*j, j - 4*c = z*j - 16 for j. 4 Let o(g) = -g**2 + 7*g + 2. Let s be o(7). Let a be (0*s/2)/(-1). Solve 3*n + t = -a + 1, -1 = 3*n - t for n. 0 Let u be 85/68 - (-3)/4. Solve -3*v - 5*s - 8 = 0, 0*v = 2*v - u*s for v. -1 Let m be 138/(-21) - 15/35. Let a(o) be the first derivative of o**2 + 16*o + 7. Let q be a(m). Solve 3*c = -2*g - 1, -5*c = -q*g - 20 - 5 for c. 3 Suppose -58 = -9*d + 14. Let p be 51/15 + 4/(-10). Let y = -1 + 1. Solve -u + 2*z + p = y, 3*u + d - 2 = z for u. -3 Suppose 0 = 4*c + 2*o - 8, -12 = -5*c + 2*o + 16. Solve 2*f = 3*l + 5, 0*l - c*l - f = -8 for l. 1 Suppose l = -4*l - 5*q + 70, 4*l - 41 = -q. Suppose -3*h = r - l, -2*h + 3*r + 6 = 4*r. Solve -n + 4 = -h*s - 7, -3*n = 3*s + 27 for n. -4 Let v(t) = -3*t**2 - 23*t - 5. Let q(h) = -h**2 - 11*h - 2. Let i(s) = -5*q(s) + 2*v(s). Let p be i(9). Solve -5*r + 25 = p, k - 4*r + 23 = 2*k for k. 3 Let y be ((-24)/(-9))/((-2)/(-3)). Let g(m) = 9*m**2 - m + 3. Let p be g(0). Solve -2*f - 2 = 2*f + 2*a, f = p*a - y for f. -1 Suppose 2*p + 232 = 5*c + 786, 4*p = c + 100. Let z be 4/(-6) + c/21. Let g(r) = -2*r - 12. Let a be g(z). Solve a*b + 2*b + 4*m = 0, -4*b + 4*m = 0 for b. 0 Suppose 3*a + 6 = 0, -2*r - 4*a - 23 = -7. Let c be 1400/63 + r/18. Suppose 23 = 5*i - c. Solve 0 = -3*l + 3*z + 12, 2*l - 2*z - i = z for l. 3 Let i be (-32)/(-8) - (2 - -2). Let f be 10 + (-2 + i - -2). Solve p + 5*r = -18 - 9, 2*r = -f for p. -2 Let j be (19/2 - (-20)/40) + -5. Solve a = -2*d - d, -12 = -3*d - j*a for d. -1 Suppose 6*l + 22 = -80. Let c = l - -17. Solve -m + 2*d + 7 = c, -2*d = -4*m + d + 23 for m. 5 Let u(a) = -a**3 + 17*a**2 - 17*a + 16. Let x be u(16). Solve n + 2*c + 7 = 0, 0 = -5*n - x*n + 4*c + 21 for n. 1 Let k be (-6)/(-2) - 130/(-10). Suppose 0 = o + 3*u - 14, -u - u + k = 2*o. Solve -l + 2*l = -x - 8, o*x - 5 = 4*l for l. -5 Suppose 3*x - 17 = 7. Suppose 14*u - 30 = x*u. Solve 0*j + j = -u*b + 25, j = 3*b - 7 for j. 5 Let k = -44 + 38. Let f(z) = -z - 5. Let r be f(k). Solve -m - r = -l, -3*l + l = -4*m - 8 for l. -2 Let q = -69 - -63. Let s = 11 + q. Solve -3*m - 9 = -3*f, -2*f + 8 = -s*m + 2 for f. 3 Let y(s) = 2*s**2 - 17*s - 5. Let w be y(9). Solve 27 = -5*v - 4*a + 2, w*v = -a - 20 for v. -5 Let s(z) = 2*z**2 - z + 1. Let a be s(-1). Let k be 7/(21/(-6)) + 10. Solve a*x - 2*h = k, x + 2*h - 2 = -0 for x. 2 Let h = -14 - -52. Suppose -4*t - 3*b + 2 = -h, -10 = -t - b. Suppose -3*a = -5*a + t. Solve -m + 2*x - 6 = -a*m, 0 = m + x + 1 for m. 4 Suppose -10 = -2*r + 12. Let c be r/((-110)/12)*-5. Let m = 10 - -1. Solve u - 4*u - 2*b = m, -2*u + 2*b + c = 0 for u. -1 Let h(l) = -14*l + 34. Let f be h(2). Solve 12 = -4*q - 4*a, -3*a - 14 = f*q - 2*q for q. -5 Let v = 12 - 6. Let m(i) = i**2 - 6*i - 2. Let n be m(v). Let s be (2 + 0)/(n/(-3)). Solve 0 = s*j - 4*b + 7, -j = -3*b - 1 for j. -5 Suppose 0 = -3*c - 0 + 9. Suppose c*b = -b + 8. Solve 0 = b*s + 4*f + 18, -2*s + 2*f = 3*s - 3 for s. -1 Let v = 148 + -84. Suppose -v*h + 12 = -60*h. Solve -3*g - 2 = -0*g - 2*w, -3*g - h*w = 12 for g. -2 Suppose -2*o = -4*o + 4*x - 4, -2 = -3*o + 2*x. Solve 4*f + 4*t = 8, 7 = 4*f + 3*t - o for f. 3 Suppose -2*h = -3*v - 44, 0 = 367*h - 368*h + 2*v + 22. Solve 3*r + 14 = -q, -r + 7*q = 2*q - h for r. -3 Suppose 0*k = k + 5*k. Solve k = -2*u + 5*n - 29, 4*u + 12 + 6 = 2*n for u. -2 Let g(u) = -u**2 + 14*u - 2. Let b be g(13). Solve t + 2*s = -4*t + b, 4*t - 4*s = 20 for t. 3 Let r be 2/(-4) - 40/(-16). Suppose -5*t + 10 = 2*j, -t + 0*t - r*j = -2. Let i be 3/(-3)*t + 7. Solve -5*w = -l - l + 33, 5*w = -5*l - i for w. -5 Suppose -3*b - 32*q = -31*q, -3*q = 4*b. Solve 5*g + 5*a + 5 = b, -4*g + 1 = 3*a + 2 for g. 2 Let v be 2/14 + ((-680)/(-119))/2. Solve -3*p - 20 = 2*i, 28 = -v*i - 3*p - p for i. -4 Suppose -4*m - m = 0. Suppose 9*c + 372 = 1209. Let z = c - 91. Solve -1 = -g + u - m*u, -z*g - u = 13 for g. -4 Let g be 486/15 + 8/(200/15). Suppose 32*z = g*z - 3. Solve -2*k + 6 = 0, 0 = 4*f - 8*k + z*k + 3 for f. 3 Suppose 4*a + 6*h = 3*h + 15, -3*a = 2*h - 12. Suppose -6 = -5*k + 4. Let o = -2374 + 2374. Solve -5*l - 15 = 0, o*l - a = 4*y - k*l for y. -3 Let z = 311 - 303. Solve z*h - 3*h = -2*y + 5, 1 = h + y for h. 1 Let i(a) = 2*a + 31. Let x be i(0). Let s = -28 + x. Suppose s*j - 2*j = 0. Solve -2*m - 3*m + 3*q = 9, 2*m - 2*q + 2 = j for m. -3 Let k = -661 - -663. Solve 2*w + k*v = 12, -3*w + 3*v = -5*w + 16 for w. 2 Let s(f) = -f**3 + 10*f**2 - 7*f - 12. Let k be s(9). Suppose -k = -2*p - 2. Let m be ((-2)/(-5))/(2/10). Solve 2 = -2*x - m*c, x = 4*x + p*c + 4 for x. -2 Let d = -9 + 8. Let x be ((-2)/(-4))/(d/6). Let b(l) = l**2 + 2*l. Let n be b(x). Solve 5*q - 3*a + a = -20, -12 = n*q + a for q. -4 Let v = -13 - -18. Let w = 62 + -58. Suppose -4*s = -w*g - 4, 5*s = -4*g - 7 + 30. Solve -5*a + s*k = -5 - 7, -3*a + 4*k + v = 0 for a. 3 Let c = -262 - -269. Solve q + 4*t - c = 0, 2*t = -6*q + q + 17 for q. 3 Let b be ((-15)/(-6) + -2)*-6. Let x be (-4)/(-4) + b/(-1). Let f = 332 - 332. Solve 0 = -3*i + q + q - 6, f = -x*i - 5*q - 8 for i. -2 Let m be 14/98 - 2/14. Solve 4*z = -n - 4*n, m = z + 2*n for z. 0 Suppose 6*b - 165 = b. Suppose -34*g + b*g = -3. Solve y + 3*c = g, -3*c + 2 = 4*y - 1 for y. 0 Let q(r) = -2*r + 6. Let m = 1 + 4. Suppose 5 = -m*f, -4*f = -s - f. Let z be q(s). Solve -3*h - z = 0, h = -4*k + 5*h for k. -4 Let f = -198 + 203. Let d be (-2)/(-8) - (-108)/16. Let s = d + f. Solve 0 = -2*m - 0*m + 2*t - s, 3*t - 10 = -5*m for m. -1 Suppose 24 = -3*f + 3. Suppose -19 = 2*b - 43. Let g = b + f. Solve -n + 0*j + g*j = 0, -5*n + 22 = -3*j for n. 5 Let i be (-202)/(-1616) - 23/(-8). Suppose -4*v - 11 - 1 = 2*c, -3*c = -5*v - 37. Solve k + 19 = 5*j + c*k, 5*j - 31 = i*k for j. 5 Let i = 29 - 31. Let y = 4 + i. Solve 0*f + f + 2*d - 4 = 0, y*d = -2*f for f. -4 Suppose 2*f - 6*w - 15 = -w, -4*f + 4*w + 12 = 0. Suppose 2*z + f*z = 12. Solve 4*j + 2*c + z = 0, -9 = -3*c - 0*c for j. -3 Let r(j) = -27 - 12*j + 6 + 17*j - j. Let d be r(6). Solve -17 = -5*m + 4*v, -d*v - 12 = -3 for m. 1 Let q(i) = -5*i**2 + 2*i - 8. Let z(j) = -j**2. Let g(r) = q(r) - 6*z(r). Let p be g(-4). Solve 3*l + 12 = -a - p, 0 = 5*l - 3*a + 34 for l. -5 Let c be (-3)/(-5) - 170/(-50). Let p = 22 - 13. Suppose p = 3*q - k, -k + 15 = 2*q + 3*q. Solve 3 + c = -q*x + 4*u, 2*x = 5*u for x. -5 Suppose -55 = -5*c - 20. Let q(r) = r**2 - 6*r + 11. Let v be q(2). Solve -3*k = -v*f - 3, -4*k - 4*f - 2 = -c*k for k. 2 Suppose 0 = 2*o - 7*o + 150. Let x = o - 27. Solve 3*c + x = -2*m + 2, -c - 7 = 2*m for c. 3 Let p(w) = w**3 - 7*w**2 + 11*w - 2. Let d be p(2). Suppose 0*a + 40 = -4*a. Let j be (a/1)/((-2)/1). Solve -5 = o - 3*n, d*o - j = -5*o + 5*n for o. 4 Suppose 0*u = -3*u. Suppose -2*v = -u*v + 5*y - 24, -4*v + 48 = -4*y. Suppose 2*n + 5*p + v = p, 2*n - 5*p = 24. Solve -3*r = -0*r - 9, n*r = -o + 3 for o. -3 Suppose 3*c + 0*c = -w + 5, 9 = 4*w + c. Suppose 7*y - 12*y = -65. Suppose -3*i - 3 = 0, 3*l - 5*i - 19 - y = 0. Solve 0 = 3*a - w*z - l, 4*a - 4*z = 16 for a. 1 Suppose -9*m + 5*m = 640. Let i = -160 - m. Solve 0 = 4*c - 3*h - i*h - 1, -c - 14 = 4*h for c. -2 Suppose 17*b - 42 = -8. Solve -b = 2*a - 2*o, 3 = 2*a - 5*a + o for a. -1 Suppose 3*g = 2*y - 71 + 79, -5*y = 20. Solve -3*o + d = o - 3, o - d + 3 = g for o
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
570270 rounded to the nearest ten thousand? 1570000 What is 0.007488 rounded to three decimal places? 0.007 Round 1030 to the nearest 1000. 1000 What is 0.000010726 rounded to seven dps? 0.0000107 Round 57.86 to the nearest 10. 60 What is 1.267 rounded to 1 dp? 1.3 Round -1.2728 to one dp. -1.3 What is -0.0001002 rounded to five dps? -0.0001 Round -881520 to the nearest one hundred thousand. -900000 What is 0.0130594 rounded to 3 decimal places? 0.013 What is 0.02726 rounded to 3 decimal places? 0.027 What is -951.5 rounded to the nearest one hundred? -1000 What is 0.00020075 rounded to four decimal places? 0.0002 Round -0.0000124291 to six dps. -0.000012 What is 71900 rounded to the nearest 10000? 70000 What is -31.33 rounded to the nearest integer? -31 What is -5286.6 rounded to the nearest 10? -5290 What is 0.036785 rounded to 2 decimal places? 0.04 Round -5.9457 to the nearest integer. -6 What is -7624800 rounded to the nearest one hundred thousand? -7600000 Round -0.02258 to two dps. -0.02 What is 991.1 rounded to the nearest one hundred? 1000 What is -0.006618 rounded to four decimal places? -0.0066 What is 200.69 rounded to the nearest integer? 201 What is -0.002838 rounded to 3 dps? -0.003 Round -35048 to the nearest 100. -35000 What is 0.000005904 rounded to five decimal places? 0.00001 Round 0.00113192 to 5 decimal places. 0.00113 What is 634.76 rounded to the nearest 100? 600 Round 26.9154 to zero dps. 27 Round -0.021856 to four decimal places. -0.0219 Round -0.5742 to one decimal place. -0.6 What is -0.162596 rounded to three dps? -0.163 Round -0.0059612 to 5 dps. -0.00596 Round 0.391 to 1 dp. 0.4 Round 0.005094 to 4 decimal places. 0.0051 What is 1.4914 rounded to 1 dp? 1.5 Round -1621900 to the nearest one hundred thousand. -1600000 Round -0.0004896 to four decimal places. -0.0005 Round 50.27 to the nearest one hundred. 100 What is -162800 rounded to the nearest one thousand? -163000 What is 543.22 rounded to the nearest 10? 540 What is -0.000003504 rounded to 6 decimal places? -0.000004 Round 21.97 to the nearest integer. 22 Round -0.000000557 to seven dps. -0.0000006 Round -678.9 to the nearest ten. -680 Round 14.972 to the nearest ten. 10 Round -0.0009744 to 4 dps. -0.001 What is -350830000 rounded to the nearest one million? -351000000 What is -0.0023781 rounded to 3 decimal places? -0.002 What is -7199000 rounded to the nearest one hundred thousand? -7200000 What is -0.0107148 rounded to 3 decimal places? -0.011 What is -108 rounded to the nearest 100? -100 What is 0.0014865 rounded to 4 decimal places? 0.0015 Round 0.51916 to 3 dps. 0.519 What is -0.0000034134 rounded to 7 decimal places? -0.0000034 Round -0.00039383 to 6 dps. -0.000394 What is 0.00029543 rounded to five decimal places? 0.0003 Round -513 to the nearest ten. -510 Round -0.000003198 to five dps. 0 Round 1794900 to the nearest 100000. 1800000 Round 0.0011274 to 5 decimal places. 0.00113 What is 3001 rounded to the nearest 1000? 3000 Round 0.0037135 to five decimal places. 0.00371 What is -0.00009806 rounded to four dps? -0.0001 What is -1644330 rounded to the nearest 100000? -1600000 What is -4906700 rounded to the nearest one hundred thousand? -4900000 Round -0.00054738 to 6 decimal places. -0.000547 Round -2049.1 to the nearest ten. -2050 What is -3379 rounded to the nearest 100? -3400 Round -0.0000049044 to 6 dps. -0.000005 Round -0.000003667 to six dps. -0.000004 Round -0.0039108 to three decimal places. -0.004 What is -6.6656 rounded to two decimal places? -6.67 Round 0.000005 to six decimal places. 0.000005 What is -0.0009 rounded to three decimal places? -0.001 What is -0.0000035499 rounded to six dps? -0.000004 What is 9860 rounded to the nearest 1000? 10000 What is -262.7 rounded to the nearest ten? -260 What is 48.62 rounded to the nearest integer? 49 What is 94.11 rounded to 0 decimal places? 94 Round 0.001036 to 4 decimal places. 0.001 Round 0.0016061 to five dps. 0.00161 What is 0.252234 rounded to three dps? 0.252 What is 0.001476 rounded to four dps? 0.0015 What is 3.4046 rounded to the nearest integer? 3 What is -0.0000086115 rounded to six dps? -0.000009 What is -228.55 rounded to the nearest integer? -229 What is 0.000001589 rounded to 7 dps? 0.0000016 What is 41020000 rounded to the nearest one million? 41000000 Round 0.0005362 to four decimal places. 0.0005 Round 6012.55 to the nearest one hundred. 6000 What is 16229 rounded to the nearest 1000? 16000 Round -0.000038751 to seven dps. -0.0000388 What is 0.009814 rounded to three decimal places? 0.01 What is 0.0000025267 rounded to seven dps? 0.0000025 What is 0.0001196 rounded to four dps? 0.0001 Round -0.0030494 to five dps. -0.00305 Round -2917900 to the nearest 10000. -2920000 What is 37777000 rounded to the nearest one million? 38000000 What is -1400810 rounded to the nearest one hundred thousand? -1400000 Round -0.000001606 to 7 decimal places. -0.0000016 Round 0.00000925 to six dps. 0.000009 Round 0.01708 to 2 dps. 0.02 What is 0.114521 rounded to 3 dps? 0.115 What is 37600 rounded to the nearest one thousand? 38000 What is -5913.5 rounded to the nearest 1000? -6000 Round -1802000 to the nearest 1000000. -2000000 Round -0.003822 to 4 decimal places. -0.0038 What is -0.0007306 rounded to 4 dps? -0.0007 What is 0.5131 rounded to 2 decimal places? 0.51 What is 0.00047 rounded to 4 dps? 0.0005 Round 49.67 to the nearest integer. 50 What is -64.781 rounded to the nearest 10? -60 Round -0.0008992 to four dps. -0.0009 What is 23500000 rounded to the nearest one million? 24000000 What is 86260000 rounded to the nearest 1000000? 86000000 What is 16500000 rounded to the nearest one million? 17000000 Round -9783 to the nearest 1000. -10000 What is 39.944 rounded to one decimal place? 39.9 What is -138.997 rounded to the nearest ten? -140 What is -3.61 rounded to 1 dp? -3.6 Round 0.00011 to five decimal places. 0.00011 What is -8.8 rounded to the nearest 100? 0 Round 0.00007574 to six dps. 0.000076 Round 2447 to the nearest 100. 2400 What is -0.0000792 rounded to 5 decimal places? -0.00008 Round 0.00270484 to four decimal places. 0.0027 Round -0.1164 to two decimal places. -0.12 Round 18578200 to the nearest 1000000. 19000000 Round 0.00000261 to six dps. 0.000003 What is -148580 rounded to the nearest one thousand? -149000 What is 0.00043241 rounded to four dps? 0.0004 Round -0.00000079008 to 7 dps. -0.0000008 Round 80 to the nearest 1000. 0 What is -37275100 rounded to the nearest one hundred thousand? -37300000 What is -2036000 rounded to the nearest 100000? -2000000 Round 0.4837 to 2 dps. 0.48 Round -919100 to the nearest 100000. -900000 Round 788.3 to the nearest 10. 790 What is -3.161 rounded to 1 dp? -3.2 What is 0.00013376 rounded to 5 decimal places? 0.00013 Round 0.000014014 to six dps. 0.000014 Round 0.0000063017 to 6 decimal places. 0.000006 Round -0.000000985 to 7 decimal places. -0.000001 What is 60.8 rounded to the nearest 10? 60 Round -58029 to the nearest ten thousand. -60000 Round 0.0000012793 to seven dps. 0.0000013 What is 0.0000067 rounded to seven dps? 0.0000067 Round -142.918 to the nearest ten. -140 What is 604000 rounded to the nearest one million? 1000000 What is 52.6 rounded to the nearest ten? 50 What is 239.031 rounded to the nearest 100? 200 Round 45153000 to the nearest 1000000. 45000000 Round 20236.2 to the nearest 100. 20200 What is 9664000 rounded to the nearest one hundred thousand? 9700000 Round 0.0022207 to 4 dps. 0.0022 Round -82963000 to the nearest 1000000. -83000000 What is -0.00003328 rounded to six dps? -0.000033 Round -8751 to the nearest 100. -8800 What is 0.000020231 rounded to 5 decimal places? 0.00002 Round -0.07229 to 2 decimal places. -0.07 Round 0.00003105 to six decimal places. 0.000031 What is -0.0000004555 rounded to 7 dps? -0.0000005 Round -785000 to the nearest ten thousand. -790000 What is 15316000 rounded to the nearest one million? 15000000 What is -2.649 rounded to 1 dp? -2.6 What is 38730 rounded to the nearest ten thousand? 40000 Round 6620000 to the nearest 1000000. 7000000 Round 25.892 to 1 dp. 25.9 What is -8.9639 rounded to the nearest integer? -9 What is -224100 rounded to the nearest 100000? -200000 What is -24094000 rounded t
{ "pile_set_name": "DM Mathematics" }
*2 + 12814 What is the second derivative of -8*p**5 + 3*p**4 + 397*p**3 + p + 151107 wrt p? -160*p**3 + 36*p**2 + 2382*p What is the first derivative of -202158*h - 120201 wrt h? -202158 What is the third derivative of 50278*c**3*p**3 - 2*c**3*p + 3731*c*p - p**2 wrt p? 301668*c**3 What is the second derivative of -112298*q**2 + 821356*q wrt q? -224596 Find the third derivative of g**3*h**3 + 2*g**3*h**2 - 1789*g**3 + 4*g**2*h**3 - 98*g*h**5 - g*h**2 - 2*g*h wrt h. 6*g**3 + 24*g**2 - 5880*g*h**2 Find the second derivative of 264*l**5 + 540*l**4 + 2*l**2 - 329057*l - 2 wrt l. 5280*l**3 + 6480*l**2 + 4 Find the first derivative of -9*j**3 + 579*j**2 - 2*j - 7551. -27*j**2 + 1158*j - 2 Find the third derivative of 45340*n*z**3 + 126*n*z**2 - 3*n + z**3 + 43 wrt z. 272040*n + 6 What is the third derivative of 5*b**5 - 40*b**4 + 3*b**3 + b**2 + 5*b + 1455 wrt b? 300*b**2 - 960*b + 18 What is the second derivative of -109931*z**4 + 2*z**2 - 205539*z wrt z? -1319172*z**2 + 4 What is the third derivative of 162961*m**3*x**5 - 2*m**3*x - 3*x**2 + 14451*x wrt x? 9777660*m**3*x**2 What is the derivative of 1260*d*n*s**3 + 7*d*n*s - 15*n*s**3 - n*s + 2*n - 86*s**3 wrt d? 1260*n*s**3 + 7*n*s What is the third derivative of -125297*o**2*r**4 + 2*o**2*r**3*y - 31*o**2*r**2 - 246*o*r**2*y + 2*o*r*y wrt r? -3007128*o**2*r + 12*o**2*y Find the second derivative of -197515*l**5 - 4649*l - 23. -3950300*l**3 Find the second derivative of -41817*y**3 - 778*y + 3. -250902*y Find the third derivative of -7*b**2*u**5 + 3868*b**2*u**4 - 103*b**2 + b*u**2 + 2*b*u - 379*u**2 wrt u. -420*b**2*u**2 + 92832*b**2*u What is the second derivative of 4*q**2*r**2*z**2 - 26503*q**2*r*z**2 - 81*q*r**2*z - 4*q*r**2 - 2*q*r*z**2 + 15*q*r*z wrt q? 8*r**2*z**2 - 53006*r*z**2 What is the second derivative of -2*a**5 + 634*a**4 + 11*a**2 - a + 937632? -40*a**3 + 7608*a**2 + 22 What is the third derivative of 740*f**3*r**3*v - 13*f**3*r**2*v**2 - 3*f**2*r*v + 49*f*v**2 - 45*r**3*v**2 - 1 wrt f? 4440*r**3*v - 78*r**2*v**2 What is the derivative of 11934*d*p**3 - 2*d*p**2 + 634*p**3 + p + 7 wrt d? 11934*p**3 - 2*p**2 What is the first derivative of -2*a*j**3 - 838*a + 11642*j**2 + 130 wrt j? -6*a*j**2 + 23284*j Find the first derivative of -637711*s**2 - s - 5627697. -1275422*s - 1 Find the first derivative of 1108943*l**4 + 54478. 4435772*l**3 Differentiate -7393*i**2*w**3 - 4260337*i**2 - 57*w**3 with respect to w. -22179*i**2*w**2 - 171*w**2 What is the second derivative of -320*a*b**2 + a*b + 2*a*t - b**2*t + 13*b**2 - 231*b*t + 23*b wrt b? -640*a - 2*t + 26 What is the third derivative of l**5 + 5727*l**4 + 2*l**3 + 72446*l**2 wrt l? 60*l**2 + 137448*l + 12 What is the third derivative of 4*v**3*y**4 - 9*v**3*y**2 + 3*v**2*y + 101*v*y - 101295*y**5 - 11*y**2 wrt y? 96*v**3*y - 6077700*y**2 Find the first derivative of 1575*i**2 + 2*i + 122805. 3150*i + 2 Find the first derivative of -1104*a**4*s**2 - 2*a*s**3 + 626*s**3 + 11*s wrt a. -4416*a**3*s**2 - 2*s**3 Find the second derivative of 1545*x**5 - 177*x**4 + 3458889*x. 30900*x**3 - 2124*x**2 What is the third derivative of 15429*p**5 - 154091*p**2? 925740*p**2 Find the third derivative of 5*m*q**4 + 4*m*q**3 - 7*m*q**2 - 138*q**3 - 3356*q**2 - 2 wrt q. 120*m*q + 24*m - 828 What is the third derivative of 3834*q**4*v**3 - q**4 + 428*q**2*v**2 + 37*q*v**3 wrt q? 92016*q*v**3 - 24*q Differentiate 21149*v**3 + 54252 with respect to v. 63447*v**2 Find the third derivative of 53582*l**3 + 7*l**2 + 2*l - 1860. 321492 What is the third derivative of 207*y**4 + 91*y**3 + 75205*y**2? 4968*y + 546 Find the third derivative of 2*m*u**3*v**3 - 2*m*u**3*v**2 - 43*m*u**3 - 2*m*u**2*v**3 - 14*m*u*v + 4*m*v**2 + 5*u**2*v**3 wrt u. 12*m*v**3 - 12*m*v**2 - 258*m Find the third derivative of 2450780*a**3 + 27670*a**2 - 3*a - 12 wrt a. 14704680 What is the third derivative of 118*i**3*m + 883*i**3 + 44214*i**2*m + i*m wrt i? 708*m + 5298 What is the third derivative of 62*l**3*o**3 + 10512*l**3*o - l**2*o**2 + 4*o**3 + 9468*o wrt l? 372*o**3 + 63072*o Find the third derivative of -464*h**5 - h**4 + 148*h**3 + 902*h**2 + 49*h. -27840*h**2 - 24*h + 888 Differentiate -2*k**4 - 1794*k**2 - 7*k + 31284 wrt k. -8*k**3 - 3588*k - 7 What is the second derivative of 2515*q**4 - 3*q**3 - 23*q**2 + 1292*q - 89? 30180*q**2 - 18*q - 46 What is the third derivative of 120*j**6 - 129*j**3 - 12995*j**2 - 17*j + 1? 14400*j**3 - 774 What is the third derivative of 1951641*p**4 - 315*p**2 - 149*p - 6 wrt p? 46839384*p Find the second derivative of -76*a*b**2 + 11*a*b - 57*b**2 + 1248*b wrt b. -152*a - 114 Find the third derivative of 943433*t**4 + 2754413*t**2 wrt t. 22642392*t Find the third derivative of 81*g*y**4 + 14*g*y**3 - 157099*g*y**2 - 4*y**6 wrt y. 1944*g*y + 84*g - 480*y**3 What is the second derivative of -157*y**5 + 10*y**4 + 2*y**3 - 1279*y - 162? -3140*y**3 + 120*y**2 + 12*y What is the derivative of 209919*f*l + 208388*l wrt f? 209919*l What is the third derivative of -84*r**6 - 5*r**4 - 5*r**3 - 7*r**2 + 98*r wrt r? -10080*r**3 - 120*r - 30 What is the derivative of -r**2 - 4151*r - 22523 wrt r? -2*r - 4151 Find the second derivative of 15744*z**3 + 321*z - 8. 94464*z What is the third derivative of 87*q**4 - 187*q**3 + 3*q**2 + 10799*q? 2088*q - 1122 Find the first derivative of 16679*o - 87247. 16679 What is the third derivative of 3*p**5*q + 14*p**3*q + 71*p**3*r - 365*p**2*q*r + 17*p**2*q - 2*p*q*r wrt p? 180*p**2*q + 84*q + 426*r What is the third derivative of 7*h**5 - 1564*h**4 + h**3 + 28*h**2 + 2*h - 303? 420*h**2 - 37536*h + 6 What is the derivative of 15980*u - 27825 wrt u? 15980 What is the first derivative of j**2*l - 2110019*j**2 + 79321*j*l - 12*l wrt l? j**2 + 79321*j - 12 What is the first derivative of g*x**3 - 900*g*x**2*z + x**3*z + 4523*z wrt g? x**3 - 900*x**2*z Differentiate 2*x**4 - 5004*x**3 + 2*x**2 + 27367 with respect to x. 8*x**3 - 15012*x**2 + 4*x What is the derivative of -t**3 + 24187*t**2 + 2*t - 294393 wrt t? -3*t**2 + 48374*t + 2 What is the derivative of m**2 + 1302682*m + 1013861 wrt m? 2*m + 1302682 Find the second derivative of 3*a*v**3 + 4*a*v - 2*a + 87*v**4 + 125*v**3 + 2*v + 1243 wrt v. 18*a*v + 1044*v**2 + 750*v What is the third derivative of 92523*h*v**3 + 3579*h*v - 2*v**2 + 2*v wrt v? 555138*h Find the second derivative of -19*f*u**2 + 2*f*u - 39*f - 2*u**5 + 5*u**4 - 39*u**2 + 113*u wrt u. -38*f - 40*u**3 + 60*u**2 - 78 What is the second derivative of 23432*h**3*q - h**3 + h**2*q + 2*h*q + 219*h + q + 2 wrt h? 140592*h*q - 6*h + 2*q What is the second derivative of 20406*g**3 + 37*g**2 - 664*g - 1242 wrt g? 122436*g + 74 Find the second derivative of 14935*s**3 - 2*s**2 - 77*s + 70. 89610*s - 4 What is the second derivative of -2*d**5 - 39684*d**4 + 2*d**2 + 865030*d? -40*d**3 - 476208*d**2 + 4 What is the second derivative of 55038*x**3 - 1460*x + 3 wrt x? 330228*x Find the second derivative of 111*g**4*h**2 - 95*g**2*h**2 + 1227*g*h**2 + 15*h + 4 wrt g. 1332*g**2*h**2 - 190*h**2 What is the first derivative of -6864*d*i**2 + d + 20076*i**2 - 2*i + 2 wrt d? -6864*i**2 + 1 What is the second derivative of 145995*f**5 - f + 4371 wrt f? 2919900*f**3 What is the first derivative of 15*a**4 - 3*a**3 - 36*a**2 + a + 295976? 60*a**3 - 9*a**2 - 72*a + 1 Find the third derivative of -80190*y**6 + 2*y**4 - 2*y**3 + 78*y**2 - 93*y - 3. -9622800*y**3 + 48*y - 12 Find the first derivative of -18*a**3*n**4 + 21*a**3 - 35*a**2 - 9648*a*n**4 + 88 wrt n. -72*a**3*n**3 - 38592*a*n**3 Differentiate -472098*v**2 + 505763 wrt v. -944196*v What is the third derivative of 79*t**5 - 286*t**4 - 3*t**2 - 2719*t wrt t? 4740*t**2 - 6864*t Find the second derivative of 6*f**4 + 7957*f**3 - 2*f - 229437. 72*f**2 + 47742*f Find the third derivative of -3506912*m**3 + 3*m**2 - 75*m - 2119 wrt m. -21041472 What is the second derivative of -11481*h**3 + 3*h + 1916? -68886*h What is the first derivative of -3788964*a - 3845567 wrt a? -3788964 Differentiate -4*l**3 + l**2 + 2573*l + 290379 with respect to l. -12*l**2 + 2*l + 2573 Find the third derivative of -2005781*g**5 + 252450*g**2 wrt g. -120346860*g**2 What is the third derivative of -4*c**5 - 434*c**4 + 18*c**3 + 21322*c**2 wrt c? -240*c**2 - 10416*c + 108 What is the derivativ
{ "pile_set_name": "DM Mathematics" }
*z, n + 18 = -4*z. Let i(t) = -t**3 - 15*t**2 - 15*t + 5. What is the remainder when 56 is divided by i(n)? 18 Suppose x - 1 = -0*x - 3*q, 0 = 5*x + 2*q - 44. Calculate the remainder when 19 is divided by x. 9 Let i(n) = -n**2 + 10*n - 8. Calculate the remainder when 75 is divided by i(6). 11 What is the remainder when 8/(-2) + 539/11 is divided by 8? 5 Suppose 4*l = -l + 3*j + 126, -78 = -3*l + j. Calculate the remainder when l is divided by 14. 13 Suppose -2*a + 54 = -2*n, 2*a + 3*n = -3 + 32. What is the remainder when 85 is divided by a? 19 Let x be 54/13 + 2/(-13). Let j = x + 0. What is the remainder when 6 is divided by j? 2 Let d(q) = -q**2 + 10*q + 1. Let x be d(10). Suppose m = 3 + x. Calculate the remainder when 11 is divided by m. 3 Let m = 65 + -100. Let d = m + 58. Calculate the remainder when d is divided by 12. 11 Let p(m) = m**2 + 3*m - 2. Let q be p(-4). Let a be 2 + 0 + q/(-2). What is the remainder when (38/8)/(a/4) is divided by 10? 9 Suppose 3*g + 3 = 9, 2*f - 40 = -5*g. Suppose -4*j + 4*w + 80 = 0, -3*w + f = 4*j - 2*j. Calculate the remainder when 29 is divided by j. 14 Suppose -3*j + 5*w + 53 = 0, -4*j - 2*w + 90 = w. What is the remainder when 62 is divided by j? 20 Let s be 6/(-9) - 69/(-9). Suppose -s = -4*t + 133. Suppose 0 = -5*i + t. Calculate the remainder when 12 is divided by i. 5 Suppose -3*d - 98 = -3*l + 10, 0 = -3*l - d + 120. Suppose 0*x + 5*v = x + 20, x + 16 = 4*v. Let n(t) = t + 14. What is the remainder when l is divided by n(x)? 11 Let g(h) = h + 19. Let p = -9 + 0. Calculate the remainder when 29 is divided by g(p). 9 Let a be 6/(-27) + (-292)/(-18). Let o = a + -10. What is the remainder when 21 + 4*3/o is divided by 8? 7 Let z(l) = -l**2 - 9*l - 10. Let m be z(-8). What is the remainder when m/8 - 222/(-24) is divided by 3? 0 Suppose -2*s - 3*l = -47, -s = 4*s - 2*l - 70. What is the remainder when 31 is divided by s? 15 Calculate the remainder when 28 is divided by -3*(-3)/((-36)/(-40)). 8 Let t = 25 - -18. Suppose 5*g = -5*k - 50 + 195, 0 = -2*k + 3*g + t. Let r(i) = i**2 + 6*i + 9. What is the remainder when k is divided by r(-6)? 8 Let f(o) = 2*o**2 + 7*o - 2. Let w be (-18)/4 + 2/(-4). What is the remainder when 50 is divided by f(w)? 11 Calculate the remainder when 11 is divided by 4 - (-3 + 4 + -3). 5 Let k = 3 - -1. Let i be (-2 + 48)*-1*-1. Suppose -g - 51 = -k*v, -1 - i = -4*v + 5*g. What is the remainder when v is divided by 4? 1 Suppose -5*d + d = -20. Let v(j) = 3*j + 5*j**2 + 2*j**3 - 3*j**3 + 0*j + 2 + 0. What is the remainder when v(d) is divided by 6? 5 Suppose -5*n = -2*s + 45, -4*n = -5*s - n + 65. Let g = -8 + 25. What is the remainder when g is divided by s? 7 Suppose 12*z - 85 = 7*z. Calculate the remainder when 47 is divided by z. 13 Let i(p) = -5*p - 18. Calculate the remainder when 58 is divided by i(-6). 10 Suppose -4*b + 197 = 45. Suppose -21*j = -19*j - b. Let h(o) = 10*o**2. Calculate the remainder when j is divided by h(-1). 9 Let f = -6 + 10. Let s(j) = -j + 2. Let m be s(f). Let d(l) = l**3 + 2*l**2 - 2*l - 1. Calculate the remainder when 7 is divided by d(m). 1 Let f be (12/(-10))/((-2)/5). Suppose m + 3*r = -8, f*m = 6*m - 5*r - 46. What is the remainder when 20 is divided by m? 6 Let b(n) = -n - 2. Let a be b(-3). Let k = -1 - a. What is the remainder when 23 is divided by k/13 - 424/(-52)? 7 Let d = 97 - 45. Suppose 4*t + d = -56. What is the remainder when 2/((-6)/t) + 0 is divided by 5? 4 Let b(t) = t - 2. Let x be 115/20 - (-2)/8. Let y = x + -3. Calculate the remainder when 1 is divided by b(y). 0 Suppose -4*x + 6 = m - 3, 2*m = 3*x - 4. Suppose -x + 4 = 2*c. Calculate the remainder when 1 is divided by c. 0 Let u be -1 + -2 - (-5)/1. Suppose -m = -u, -2*m - 11 = -n + 3*m. What is the remainder when n is divided by 6? 3 Let u(r) = -11*r**3 + 2*r + 1. Let y(p) be the second derivative of p**5/4 - p**4/3 + p**3/2 - p**2 + 3*p. What is the remainder when y(2) is divided by u(-1)? 8 Let q be (1/(-1))/((-2)/2). What is the remainder when 47 is divided by (q + 0)/(2/24)? 11 Suppose -2*w + 1 = -3. Let l(r) = -r + 1 + w*r**2 - 5*r + 5. What is the remainder when l(4) is divided by 8? 6 Suppose -3*g - i + 0*i = -88, 3*g + 2*i = 83. Let c(a) be the first derivative of -a**4/4 + 5*a**3/3 - a - 2. Calculate the remainder when g is divided by c(2). 9 What is the remainder when (-8)/(-1) + -4 - -25 is divided by 16? 13 Let k(n) = n**2 + 3*n + 3. Calculate the remainder when 11 is divided by k(-3). 2 Let b(t) = 0*t**2 + 8 - 1 + 5*t**2 - 3*t - 4*t**2. What is the remainder when b(7) is divided by 19? 16 Suppose 3*g - 104 = -3*t - t, 4*t - 104 = -5*g. Let d(l) = l**2 - 2. Calculate the remainder when t is divided by d(-3). 5 Suppose -4*d = -9*q + 4*q + 10, -5*q - 2*d + 10 = 0. Let p be q/(-3)*3 - -2. Suppose 12 = -p*u + 4*u. What is the remainder when 7 is divided by u? 1 Suppose z - 144 = -3*i + 12, -4*z = 12. What is the remainder when 154 is divided by i? 48 Let u(q) = -5*q - 1. Let c be u(-1). Suppose -2 = c*t - 14. What is the remainder when 5 is divided by t? 2 Let n(i) = 50*i**2 + i - 1. Suppose -9 = 2*s - 85. Let z = s + -21. What is the remainder when n(1) is divided by z? 16 Suppose -f = -4*y - 14, -y = -2*f + 4*f - 1. Suppose 0 = -f*g - 0*g + 14. Calculate the remainder when 27 is divided by g. 6 Let g be (-4 - -3)*4 + -1. Let t be (-6)/(((-45)/6)/g). Calculate the remainder when 19 is divided by (-6)/(-4) + (-38)/t. 8 Let a = 6 - 3. Calculate the remainder when -1 + -1 + 1 + 12 is divided by (-1)/a + 19/3. 5 Let w(b) = b**2 + 3*b + 2. Let k be w(-2). Suppose k*j + 2*j = 60. Calculate the remainder when j is divided by 16. 14 Let q = 20 + -4. Calculate the remainder when 62 is divided by q. 14 Suppose -2*a = -i + 9, -4*i = a - 5*i + 5. Let y(o) = -3*o - 7. Calculate the remainder when 16 is divided by y(a). 1 Suppose 10*x - 7*x = 36. What is the remainder when ((-68)/(-10))/(2/10) is divided by x? 10 Let q = 138 - 85. Calculate the remainder when q is divided by 28. 25 Suppose 0 = -f - 0*f + 8. Suppose 0 = 7*a - 3*a - f. Calculate the remainder when a/(-4)*(1 + -39) is divided by 10. 9 Suppose 20 - 3 = o. Suppose 2*q = 4*k - 36, -5*k + 4*q + 42 + 3 = 0. Suppose 5*a + k = -g, 4*a - a = g - 15. Calculate the remainder when o is divided by g. 5 Suppose 5*t - 40 = -5*c, -2*c + 28 = -t - 0*t. Suppose h + 11 - 33 = 0. What is the remainder when h is divided by c? 10 What is the remainder when 48 is divided by 1*5/(-10)*12*-3? 12 Let v(q) = -q**2 + 6*q - 5. Let i be v(4). Suppose 0 = -4*k - 2*p + 124 + 10, -102 = -i*k - 2*p. What is the remainder when k is divided by 1*2/(-4)*-22? 10 Let u(o) = -3*o**2 - 4*o + 1. Let a(p) = -4*p**2 - 4*p. Let v(h) = -4*a(h) + 5*u(h). What is the remainder when 50 is divided by v(6)? 16 Suppose 0*s + 4 = s. Calculate the remainder when 15 is divided by s. 3 Suppose o + 21 = 4*o. What is the remainder when 17 is divided by o? 3 Let y = -2 + 2. Suppose -3*r + 5*x + 0*x + 8 = y, -2 = -2*r + 5*x. What is the remainder when r is divided by 4? 2 Let k(p) = p**3 - 14*p**2 + 2*p - 17. What is the remainder when 21 is divided by k(14)? 10 Suppose 3*j - 5*j + 20 = 0. What is the remainder when 27 is divided by j? 7 Let x = 7 - 4. Let v = -47 - -48. Calculate the remainder when x is divided by v. 0 Let d(n) = n**3 + 13*n**2 - 15*n + 13. Let l be d(-14). Let x = l + 8. What is the remainder when x is divided by 9? 8 Let t(v) = 4*v**3 + v**2 + v + 4. Let h(k) = -3*k**3 - 2*k**2 - 2*k - 3. Let w(s) = 3*h(s) + 2*t(s). What is the remainder when w(-4) is divided by 8? 7 What is the remainder when (-1496)/(-238) - 2*2/14 is divided by 6? 0 Let c(j) = j**3 + 1. Let a be c(-2). What is the remainder when ((-1)/2)/(2/(-108)) is divided by 31/3 - a/(-21)? 7 Let j(h) = -h**2 - 8*h - 9. Let o be j(-6). Suppose -o*x + 4*x = 14. Let s = 44 - 3. What is the remainder when s is divided by x? 13 Let t = 14 - 8. Let d(p) = p**2 + p + 16. Suppose -9*i = -4*i. Calculate the remainder when d(i) is divided by t. 4 Suppose 0*b + 96 = 2*b. What is the remainder when b is divided by 13? 9 Suppose 0*q - 4*q + 648 = 4*b, 3*b - 491 = 2*q. Calculate the remainder when b is divided by 33. 31 Suppose u = 2 + 11. Calculate the remainder when 25 is divided by u. 12 Let z(b) =
{ "pile_set_name": "DM Mathematics" }
? 79544.38591 What is the difference between 2112865615 and 1754? 2112863861 Put together -340238927 and -8.32. -340238935.32 -70491161 + -1228308 -71719469 Work out 3568.84524 + 3307. 6875.84524 97134 + 138.468969 97272.468969 Calculate 312387.6 - 671306. -358918.4 What is -6074393.97 minus -0.084? -6074393.886 Work out -0.03 + -696641285758. -696641285758.03 Subtract -4 from -12152575832673. -12152575832669 What is 0.022 - -4035979220868? 4035979220868.022 Add together 664 and 6477442236.2. 6477442900.2 What is the distance between -3 and -43835213067? 43835213064 What is -2218471511765 take away -0.01? -2218471511764.99 What is 0.876587193 take away -6.8671? 7.743687193 What is -0.02 + -10363604086? -10363604086.02 Work out -1355264827666 - 0.4. -1355264827666.4 Put together 290355994 and -6608. 290349386 What is -40234553 plus 2346458? -37888095 Add 296287197348501 and -0.4. 296287197348500.6 Put together -0.27 and 2033534998797. 2033534998796.73 Total of 245367.31 and 45.8693. 245413.1793 3.04921 + -930.01 -926.96079 What is the distance between 1 and -303653986.55339? 303653987.55339 What is 1 + 129753562.426? 129753563.426 Calculate 42944621735.9 - 2. 42944621733.9 -6860677197168 - -0.2 -6860677197167.8 57637642.6 - -0.092994 57637642.692994 What is 1.713480173 - 18.89? -17.176519827 What is the distance between 261880.334429 and -28? 261908.334429 Sum -4.701245 and 5144. 5139.298755 Add -10350425804093.6 and 2. -10350425804091.6 -4515214577 - -1363.24 -4515213213.76 What is -36802629.78399 less than 209? 36802838.78399 0.2 - 9331504680 -9331504679.8 Put together -0.1227439736 and -1374. -1374.1227439736 Subtract -354 from -1759356849. -1759356495 4+563924561175 563924561179 What is 363626782 less than 20.86? -363626761.14 Add -2 and -1968596.9006144. -1968598.9006144 Work out 26 + -322124015. -322123989 Total of 22823.51832662 and -0.4. 22823.11832662 What is -759.57 take away 2313396583? -2313397342.57 What is -0.22585944717 minus 0.9859? -1.21175944717 Add -19 and 3945826442086. 3945826442067 4568+13132.40235 17700.40235 -21563.635 - 0.0267002 -21563.6617002 Total of 2374.18 and 922660.22. 925034.4 Subtract -0.432548 from -19659770. -19659769.567452 What is 43406235221 take away -3270? 43406238491 What is the distance between 2984585.42 and -0.0655? 2984585.4855 What is 0.4 - -1742072170730? 1742072170730.4 Sum -3229910585 and 2716. -3229907869 What is -185387076539.26 minus -0.13? -185387076539.13 Subtract -92 from 1.0721585157. 93.0721585157 Subtract 2.7 from 0.31778894. -2.38221106 What is 59037576 minus 496.07? 59037079.93 Subtract -39529579 from -160.949. 39529418.051 What is 26906 take away 14532945? -14506039 Total of 0.06323525 and 85545. 85545.06323525 What is -35474455.324718 less than -0.3? 35474455.024718 Subtract -0.2646232 from -12966.88. -12966.6153768 What is -8739645 minus -1843? -8737802 -2332.1152129+-6368 -8700.1152129 41+33184009353232 33184009353273 Subtract -3.64103759 from -76192. -76188.35896241 What is -110627029383 take away 3? -110627029386 Add -0.131 and 20.90964805. 20.77864805 Add -0.0365436 and -334284802. -334284802.0365436 Sum -0.47129755399 and 0.05. -0.42129755399 Calculate -44213080.912 - -0.6. -44213080.312 251403950+-2402 251401548 29453238 + -21037426 8415812 Put together -10 and -0.7962352990467. -10.7962352990467 -37369079899 - 646 -37369080545 What is 0.0690392 minus 288822? -288821.9309608 What is the distance between 1 and -15060593556482? 15060593556483 Calculate 457.883665 - 2755.1. -2297.216335 What is 0.07267 take away -16731051? 16731051.07267 Work out 3177.8 - 4893794. -4890616.2 -0.1121 - -2259163225 2259163224.8879 Put together 0.0497 and -1372441117. -1372441116.9503 What is -2 minus 19101546779860? -19101546779862 Put together 5.1947 and 15.881399. 21.076099 Calculate 24331342 - -0.6732. 24331342.6732 Subtract -27076 from -0.01639771. 27075.98360229 Sum 79 and 0.7248769283687. 79.7248769283687 Work out -2 + 74023064106. 74023064104 Work out 117699260.6 - -0.158331. 117699260.758331 What is -0.03621 less than -0.501860213? -0.465650213 Add together 704.2807045 and -1.9. 702.3807045 What is -1094313127474.8 + -0.1? -1094313127474.9 What is 1.8256651994 - 470.7? -468.8743348006 Work out -0.0974334 - -279409631. 279409630.9025666 Calculate -4.254 + -451481591.5. -451481595.754 Subtract -1.83 from -4830.507756. -4828.677756 What is -0.060295 less than -4.753369741? -4.693074741 What is 0.1 plus -107859682575? -107859682574.9 23499 + 56414347 56437846 What is -84.7 less than -0.92540107? 83.77459893 What is 486 take away -34101801537? 34101802023 What is the distance between -22987 and -16899985.85? 16876998.85 What is -7212 take away -7.94104899? -7204.05895101 What is -33.43438 minus -2338828? 2338794.56562 Total of 1946502410 and 18.132. 1946502428.132 5871941558867.9 - 3 5871941558864.9 Add -0.0498802364969 and 327. 326.9501197635031 Total of 76228 and 19902859. 19979087 What is -220140.80625 minus 0.09481? -220140.90106 Calculate 5574 - -5240324303. 5240329877 Total of -0.313 and -31435.88354. -31436.19654 Put together -0.51930716705 and -17520. -17520.51930716705 What is -345.932405 minus 2424? -2769.932405 Work out 38841.546 - -0.0783. 38841.6243 Add -4 and -327008924618. -327008924622 Sum 5 and 3515931958719. 3515931958724 Put together -977016296 and -1767. -977018063 Work out 170 - -0.0765658129975. 170.0765658129975 What is the difference between -0.34249 and 3.486581? 3.829071 Calculate -35124.14 - 8.595. -35132.735 What is -10107119934 + 64761? -10107055173 What is 1.31 minus -38853924671? 38853924672.31 What is 172 take away -4980442837? 4980443009 What is 0.18 - 278714420362? -278714420361.82 What is -4.8 take away 16623.21844896? -16628.01844896 10 - -0.711441464437 10.711441464437 What is -1369607 + -0.77630155? -1369607.77630155 Calculate 8066591509 + -0.298. 8066591508.702 What is 0.06711147 plus -27150? -27149.93288853 What is the distance between -198716966.3391 and 0.3? 198716966.6391 What is the distance between 1875651226 and -2.573? 1875651228.573 Subtract 0.179783 from -3541.6699. -3541.849683 Add together 4467.6 and -612108840. -612104372.4 What is 149.8177111356 - -0.0231? 149.8408111356 6299 + -29982564 -29976265 -15195882765.2 - -103 -15195882662.2 Put together 0.0871618068 and -45080. -45079.9128381932 -173259 - -1133.2121827 -172125.7878173 Subtract 23541 from -906.668304. -24447.668304 Add together -4647 and 248096944. 248092297 What is 493 plus 6.4810606? 499.4810606 What is -5.5378981 take away 0.4389? -5.9767981 Calculate -4 + 1701926260501. 1701926260497 What is 28913813601 less than 0.1? -28913813600.9 What is -5560 + 5263683? 5258123 Work out 392 + 156724176537. 156724176929 Work out -114 - 8827968527460. -8827968527574 -435417 - 4824.5 -440241.5 -177161.072 - -114.31 -177046.762 What is -95425 - -40887245? 40791820 Calculate -5 - 84170504700639. -84170504700644 What is -0.172937 take away 6.035? -6.207937 What is -3979630814 - 8970? -3979639784 Add together -0.14022051546 and -0.252. -0.39222051546 Add together 108249187264 and -0.1599. 108249187263.8401 What is -1.9 - -2125626.8574? 2125624.9574 What is 1732846 plus -528684? 1204162 Calculate -15449445 - -1524145. -13925300 Work out 1338768.902323 - -7. 1338775.902323 Add together 21384437553 and -0.27. 21384437552.73 What is -153889754 minus -131797? -153757957 26.894780505 + 1123 1149.894780505 What is 786 - 184865.15? -184079.15 What is -816.4 minus -1643596054? 1643595237.6 Subtract -708535245.59 from -3. 708535242.59 Put together 0.2126 and -473.624527. -473.411927 Add -13 and 0.2152582086967. -12.7847417913033 -1237157+-54.47632 -1237211.47632 Add together 4094.414 and -0.1929174. 4094.2210826 Calculate 0.08 + 1175645358588. 1175645358588.08 -15.55 - 29.82153594 -45.37153594 What is -89160.36 plus 31538.128? -57622.232 Total of -10223324.1682 and 54. -10223270.1682 What is the difference between 944278 and -43133.4? 987411.4 Calculate -147305580123 - 0.0278. -147305580123.0278 Put together 424 and -82.849407. 341.150593 Work out 7013701 + 2918.54. 7016619.54 What is the distance between 20698175 and 484138? 20214037 What is 5.161 plus 8622.93? 8628.091 Subtract 7893213520438 from -0.3.
{ "pile_set_name": "DM Mathematics" }
(b) z (c) u c Let d = -66/7 + 153/14. Suppose 3*s - 17 - 6 = -5*z, 0 = -2*s - z + 6. Suppose -4*t - s - 7 = 0. Which is the closest to t? (a) 5 (b) 3 (c) d c Suppose -5*g - 12 - 15 = 4*z, 2*g + 6 = 0. Let t = 0.1 + -0.1. Suppose -101*w + 16 = -105*w. What is the nearest to t in z, w, 3/2? 3/2 Suppose -2*w - 1 = 7. Suppose 0 = -4*g - 20, -2*q + g - 3*g = 8. Let k be q/((27/6)/(-1)). What is the nearest to 0.1 in w, k, 5? k Let q = 0.42 + -0.25. Let s = q + -0.1. Let o = 5.07 - s. What is the nearest to 2/7 in 3/5, o, -2? 3/5 Let k = -0.9 - -0.4. Let u be 1/(-1)*(-3)/5. Which is the closest to -2? (a) u (b) k (c) 0.1 b Let x = -20 - -19. What is the nearest to 3/11 in -1/2, x, -0.1? -0.1 Let f = 0.2 + -0.3. Let w = -0.63 - -0.13. Let z = -0.3 - w. Which is the closest to f? (a) 2 (b) -5 (c) z c Let o be 4/6 - 265/90. Let f = -7/9 - o. Let m = -0.1 + 0.2. What is the closest to m in 3, 1/6, f? 1/6 Let o be (8/42)/(4/(-18)). Let f = -2.05 + 0.05. Which is the nearest to -3? (a) o (b) 0.1 (c) f c Let p = 169 + -2199/13. Suppose 2*m = 4*x + 3*m + 2, -4*m - 8 = 0. Let k be (-2)/(-5) + (-22)/30. Which is the closest to x? (a) k (b) 5 (c) p c Let c = 52 + -52.1. Let w = 0.1 + -0.1. Let a = w + c. What is the closest to 1/2 in 4, a, 1/3? 1/3 Suppose 9 + 1 = 10*g. What is the closest to 1 in g, 1/6, 1/5? g Let s = 12 + -11. What is the closest to s in 0.1, -3, 0.4? 0.4 Let d = -75 - -72. Suppose 3*i - 10 = -2*i. Which is the closest to i? (a) -4 (b) -2 (c) d b Let v be 14*(-6)/(-108) + -1. Which is the nearest to 3? (a) v (b) 3/2 (c) 0.2 b Let k = -7 + 3. Let m = -8/29 + 14/261. Which is the nearest to 2/3? (a) 3 (b) m (c) k b Suppose -6*u + 3*u - 3*k + 9 = 0, 0 = 4*u - 4*k + 12. Which is the closest to -1? (a) 2/7 (b) 4 (c) u c Let f(o) = -3*o**2 + 9*o - 3. Let j be f(7). Let g = j - -57. Let y be 2 - 5/(g/(-9)). Which is the closest to 1/4? (a) y (b) -1 (c) 2/3 a Let a be ((3 - 1)/14)/1. What is the nearest to -1 in 0.3, 0.5, a? a Let j = 764 - 764.1. Let p be 1342/6 - (-2)/(-3). Let m = -1565/7 + p. What is the closest to j in m, -2, 4? m Let g = 0.68 - 0.78. Let u = 5.7 - 6. Let d = -1.3 - u. Which is the nearest to g? (a) -5 (b) 1/9 (c) d b Suppose 2*i - 2 = 3*i. Suppose -5 = 5*l - 4*d, -l + 2*d = -4*l - 3. Let c be ((-2)/(-4) + 0)/l. What is the closest to 0 in i, c, -1? c Suppose -4*z - 1 + 17 = -4*l, 0 = -5*l + 3*z - 12. Which is the nearest to l? (a) 0.4 (b) 5 (c) -1/2 a Let f = 148 - 145.98. Let i = f - 0.02. Let b = 0 + 0.1. What is the nearest to -0.5 in 3, b, i? b Let n = 8.2 - 7.2. What is the nearest to n in 2, -1, -4/7? 2 Let g = -98 - -97. Let x = 0.3 + 0.2. Let d = -0.3 - 0.7. Which is the closest to g? (a) x (b) -0.1 (c) d c Suppose 0 = n - 0*n. Let i be 18/22 + -4 + 3. Let h = 19/44 + i. What is the nearest to n in -0.5, h, 0? 0 Let f(q) be the second derivative of -q**5/20 + q**4/3 - q**3/6 + 3*q**2/2 - q. Let t be f(4). What is the closest to t in -5, 1/7, 1? 1/7 Let v = -0.1 + -0.2. Let n = 6.2 + -6.3. Which is the closest to n? (a) -4 (b) 3 (c) v c Let u = 31.95 + -32. Which is the nearest to -0.2? (a) 5 (b) u (c) -0.3 c Let l = -2.5 - -1.67. Let p = l - 0.17. Which is the nearest to -0.1? (a) 2 (b) p (c) -6/5 b Let y be 1 - (-1 + 15/8). Let w = -141/5 - -28. Which is the nearest to 1? (a) w (b) -1/3 (c) y c Let v(k) = -k**2 + 1. Let y be v(1). Let z = -2/55 - 47/220. What is the closest to y in -1, -4, z? z Suppose -5*m + 3*d = 5 - 13, 3*d + 4 = 4*m. Let i = 31 - 30. What is the nearest to -2/3 in -3/7, m, i? -3/7 Let x = -53 - -52.9. Which is the closest to -5? (a) -0.3 (b) x (c) -4 c Let f(l) = l**2 + 6*l - 7. Let v be f(-8). Suppose -4*k + v*k + 4*s = 5, 17 = k + 4*s. Which is the closest to -1? (a) -2/9 (b) -4 (c) k a Let f = 0.3 - 5.3. Let r = 4 - 3.5. Which is the nearest to -0.3? (a) -2 (b) r (c) f b Let s = -2 - -4. Let o be (2/8)/(2/(-12)). Which is the nearest to 1? (a) -0.2 (b) s (c) o b Let m(v) = v**2 - 8*v + 4. Suppose r - 32 = -3*r. Let k be m(r). Let t = 14/3 + -5. Which is the closest to 0? (a) k (b) t (c) -0.5 b Let l = -47 + 46. Let d(t) = t**3 - t**2 - t - 3. Let n be d(0). Which is the closest to l? (a) 4 (b) n (c) -8 b Let t = -0.19 + -2.81. Let f = t - -2.6. What is the nearest to -3 in 0.1, 0.3, f? f Let i be (-1 - -1) + (0 - -2). Let w be 14*(16/14 - i). Let h be ((-3)/w*-3)/3. Which is the closest to 2/7? (a) -1/2 (b) h (c) -4 b Let o = -23 + 28. Which is the nearest to -1? (a) o (b) 0 (c) -0.5 c Let z = -7.3 - -12.3. Which is the nearest to 1? (a) z (b) -2 (c) -3/4 c Suppose -3*g + 1050 = 5*f, 4*f - 200 = -2*g + 638. Let w = -1653/8 + f. What is the closest to -1 in w, 2/3, 1/8? 1/8 Let t = 4/21 - -22/105. Which is the nearest to -1? (a) t (b) -1 (c) -0.4 b Let s = -2 - 0. Let u be (12/8)/((-3)/4). Let q be u - 11/(-3) - 1. Which is the nearest to q? (a) 0.2 (b) s (c) -5 a Let j = -5.8 + 6. Let r = 0 - j. Let u be 20/15 + (2 - 3). What is the closest to u in r, 2, -2/13? -2/13 Let c = 0.16 - 0.25. Let s = -0.49 - c. What is the closest to 0 in -2, -1/3, s? -1/3 Let m = -3.5 + 3. Let g = -19 + -0.2. Let p = g - -19. What is the closest to p in m, 3, 0.2? m Let q = 0.21 + -0.71. Which is the closest to 0? (a) 0.1 (b) q (c) 0.2 a Let d = -1873/7 + 268. Let l = 0.1 - 1.1. Let o = l - -1. Which is the closest to o? (a) -2/7 (b) 0.4 (c) d a Let z = -1 - -1.4. Let v be 100/(-28) - -4 - 72/70. What is the closest to z in -4, v, -1? v Suppose -2 = k + 4*y - 3, -4*k - y = -19. What is the closest to 2/5 in k, 1/5, 4? 1/5 Let v = 2398/9 - 266. What is the closest to -0.1 in v, 0.5, -2? v Let o be (-2 - -1) + (-3 - -2). Let k = 3.2 + -3. Which is the closest to -2/3? (a) k (b) -5 (c) o a Let o = -0.1 + -0.1. What is the nearest to o in 1/3, 0, 2? 0 Let f be (-2)/8 + (-9)/(-6). Let t = 67/4 + -17. What is the closest to 0 in f, t, -3/8? t Let o = -8.82 + -0.18. Let j = o + 8.8. Which is the nearest to 1? (a) j (b) -0.1 (c) -0.5 b Let d = -138 - -138. Which is the nearest to -1/4? (a) d (b) -1/8 (c) -5 b Suppose 3*w + l + 6 + 5 = 0, -25 = 5*l. Let m be (0 - w)*(-1 - -2). Let u be m/6 + (-14)/6. Which is the nearest to -0.2? (a) u (b) -5 (c) 1/6 c Let l be 2/(-10) + 6248/165. Let v = l + -38. Let c = 0.1 + -0.2. What is the nearest to c in -0.5, v, 2? v Let w = 40 - 42. Let z(k) = k + 2. Let u be z(3). Which is the closest to w? (a) -1 (b) u (c) 1/2 a Let t = 175/4 - 44. Let b = 4.197 - -0.003. Let y = b - 4. What is the closest to t in -4, y, -1? y Let y = 4.7 + -5. Let d = 37 + -24. Let k = 12.9 - d. Which is the nearest to 1/3? (a) -1 (b) k (c) y b Let b = 0.44 - 0.54. Let q = 148.08 + -151. Let l = q - 0.08. What is the closest to 0 in b, l, 1/2? b Let x be ((-12)/2)/(3*8/12). What is the nearest to -2/3 in -5, 0, x? 0 Let f = -562 + 11800/21. Let p = -19.1 + 19. What is the closest to p in -4/7, f, 1? f Let g(m) = -m - 1. Let u be g(5). Let c be 2/4 + u/(-4). Let t be c/(-7) + (-3 - -3). What is the closest to t in 2, 2/5, 0? 0 Let f be (1 + (-56)/60)*2. Which is the closest to -0.3? (a) -5 (b) -1/4 (c) f b Let r = 7.85 + -8. Let i = r + -0.05. What is the closest to 2/3 in i, 1/5, -2? 1/5 Let v = 35 + -36. Let s = 0.5 + 2.5. Let k = 6 - s. Which is the closest to v? (a) k (b) 1/5 (c) -2 c Let r be (-2)/(-10) - (-4328)/(-2640). Let l be 3/(-3) + (-70)/(-66). Let p = l - r. What is the nearest to 2/7 in -5, p, -0.5? -0.5 Let z(y) = y + 3. Let k be z(-4). Let w = -193/28 + 27/4. Let v be (-4)/5*(-9)/12. Which is the nearest to k? (a) v (b) w (c) 0.1 b Suppose 2*x + 20 = 8. Let t be (1/2)/(x/(-3)). What is the closest to t in -2/9, 0.3, -2/3? 0.3 Let x = 305/3 + -102. Which is the closest to x? (a) -4 (b) -3 (c) 5 b Let s = 0.1 - 0. Suppose 7*d - 3*d = 0. Suppose d*j - 4 = -2*j. Which is the closest to 1/2? (a) j (b) -2 (c) s c Let d = 6 - 4. Which is the closest to -1/4? (a) 3 (b) 1/4 (c) d b Let l = -163 - -161.06. Let d = -0.06 + l. Let f = 1 + d. Which is the closest to f? (a) -0.3 (b) 1/4 (c) -0.1 a Let r = 144 - 143. Let z = 7 - 4. What is the closest to r in 5, z, 2/9? 2/9 Let j = -2.8 + 1.8. Let k = -13.33 - -0.33. Let t = 18 + k. What is the closest to 0 in -4, j, t? j Let
{ "pile_set_name": "DM Mathematics" }
2e7828 In base 16, what is -85e - -17e73? 17615 In base 4, what is 3202220 - -21232? 3230112 In base 13, what is -7 - -69b8c4? 69b8ba In base 10, what is 199 - -527121? 527320 In base 4, what is -3 + -3230131102? -3230131111 In base 6, what is -3235104 + 30133? -3204531 In base 3, what is 1022122111021 - 10000? 1022122101021 In base 3, what is 22122112002 + -12002122? 22110102110 In base 5, what is -132021012 + -3? -132021020 In base 4, what is -100310310 - 3? -100310313 In base 11, what is -5a - 18796a? -187a19 In base 15, what is -6559 - 2078? -85d2 In base 7, what is -662034 - 136? -662203 In base 10, what is -108116690 + -2? -108116692 In base 16, what is -1d95c7 - -2? -1d95c5 In base 7, what is 11 + -234164446? -234164435 In base 4, what is -1203020300 + -30? -1203020330 In base 10, what is 249 - 50295? -50046 In base 11, what is 997 + -35522? -34636 In base 15, what is -e16 - 1169? -2080 In base 9, what is 361300 - 4? 361285 In base 2, what is -1011000111101100000001110 + 100? -1011000111101100000001010 In base 3, what is 1201001 - 12211120102? -12202212101 In base 2, what is -11011001000 + 1001100001000101010? 1001011101101100010 In base 5, what is 4024 + -102413? -43334 In base 2, what is 1 + 1001001110010011110010? 1001001110010011110011 In base 7, what is -44215562 - -31? -44215531 In base 11, what is 26671090 - 4? 26671087 In base 8, what is -3 - 1716017474? -1716017477 In base 6, what is -3300222544 + -3? -3300222551 In base 6, what is 115 - 3135402? -3135243 In base 4, what is -1 + 2020100131? 2020100130 In base 6, what is 13514111 - -222? 13514333 In base 12, what is 2 + b99975? b99977 In base 10, what is -28 - 294051? -294079 In base 9, what is -63114 - 1285? -64410 In base 6, what is 133552050 - -15? 133552105 In base 12, what is 1086ab8 + -1? 1086ab7 In base 7, what is 212112550 + 2? 212112552 In base 3, what is 10020020010 + 22011111? 10112101121 In base 8, what is -360 - 102666? -103246 In base 8, what is 574400156 + -5? 574400151 In base 16, what is 54 + -1054? -1000 In base 4, what is -13000 - -201220020? 201201020 In base 8, what is 5 - -13732063? 13732070 In base 8, what is 4 + -27167305? -27167301 In base 11, what is 3a6174a5 + -1? 3a6174a4 In base 16, what is -225837e - 1? -225837f In base 16, what is -14e1d1bb + 3? -14e1d1b8 In base 15, what is ec1 - -9ee7? aeb8 In base 7, what is 66031 + -326? 65402 In base 4, what is -1 + -13103202221? -13103202222 In base 11, what is 4 + 71021252? 71021256 In base 13, what is 39868c + 2a4? 398963 In base 11, what is 79834413 + -3? 79834410 In base 9, what is 4537307 + 144? 4537452 In base 8, what is -4 - -31004016? 31004012 In base 9, what is -173 + -111720? -112003 In base 16, what is 3 + 11a7c6e? 11a7c71 In base 12, what is 10b - 192b60? -192a51 In base 8, what is -16506 - 322? -17030 In base 11, what is 5232 + -490? 4852 In base 7, what is -13 - -43206153? 43206140 In base 10, what is -10 + 45921989? 45921979 In base 12, what is -407 + -8561? -8968 In base 3, what is 111011111101 - 11? 111011111020 In base 7, what is 11 - -3514510? 3514521 In base 12, what is 123 - 2174b? -21628 In base 9, what is -44303 + -846? -45250 In base 7, what is 44301 + -3432? 40536 In base 3, what is -10101221 + 2001021010? 1220212012 In base 5, what is -3133301014 + -20? -3133301034 In base 11, what is 45a219a + -3? 45a2197 In base 6, what is -54 + 12313500? 12313402 In base 16, what is -1 - -38bf02? 38bf01 In base 7, what is 2513162 + 303? 2513465 In base 12, what is -2b1 - 657ab? -65aa0 In base 9, what is -134211681 + 2? -134211678 In base 12, what is -14710 + 34a? -14382 In base 13, what is -49aba9c - 3? -49abaa2 In base 2, what is 11100110011101111010 + 1110100? 11100110011111101110 In base 14, what is -c2acbc - 10b? -c2adc9 In base 7, what is -1504 - -515313? 513506 In base 12, what is 1a2 - -20159? 2033b In base 5, what is 112213 + 3221? 120434 In base 7, what is -4634 - -205512? 200545 In base 6, what is 12055452 + 4? 12055500 In base 16, what is 20 + -3f76ce? -3f76ae In base 12, what is -8455 - -b0? -8365 In base 3, what is -10000 - -2022020200? 2022010200 In base 12, what is 2 - 7a8456? -7a8454 In base 11, what is -4 - 5460332? -5460336 In base 13, what is -50 - 250a9? -25129 In base 8, what is 2576621 + 170? 2577011 In base 16, what is -129815b + b? -1298150 In base 11, what is -2143681a + 3? -21436817 In base 8, what is 32 - 4242720? -4242666 In base 10, what is -9712089 + -4? -9712093 In base 6, what is 1112 - 31315? -30203 In base 11, what is -1 + -15a0021? -15a0022 In base 6, what is -400 - 30421355? -30422155 In base 2, what is 101011101101000000011111110 - 10? 101011101101000000011111100 In base 3, what is -1 - 21020221010120? -21020221010121 In base 14, what is -2a1 + -4703? -49a4 In base 6, what is 1234232 - -13? 1234245 In base 8, what is 1345 + 111515? 113062 In base 2, what is -100 + -1000110111001011111101011? -1000110111001011111101111 In base 4, what is -2 - -32203231332230? 32203231332222 In base 11, what is 551 + 35941? 36392 In base 13, what is -29255b - b? -292569 In base 10, what is -1487132140 - 0? -1487132140 In base 6, what is -1141444 + 2411? -1135033 In base 5, what is -314 + -1412200? -1413014 In base 6, what is 3110000015 + 30? 3110000045 In base 5, what is -143 + 10124004? 10123311 In base 9, what is 2 - 24508202? -24508200 In base 5, what is 14344 + -4403121? -4333222 In base 4, what is 123323 - 10313110? -10123121 In base 10, what is 82679299 + 3? 82679302 In base 16, what is a4c35 - 2a? a4c0b In base 8, what is -274 + 535314? 535020 In base 12, what is 1333711 + -5? 1333708 In base 11, what is 0 + 35325769? 35325769 In base 8, what is -24 + 5053040? 5053014 In base 12, what is 9 - -1762362? 176236b In base 11, what is -1061aa9 + 27? -1061a82 In base 4, what is 122210 + -323333? -201123 In base 9, what is 10 + -1870120? -1870110 In base 10, what is 30 - 10901? -10871 In base 3, what is 12102220012 - -1210120? 12111200202 In base 4, what is 10003120212001 - 2? 10003120211333 In base 9, what is 181115173 - 3? 181115170 In base 7, what is 52332012 - 11? 52332001 In base 13, what is 665a + -c1c? 573b In base 12, what is -129a9979 + 5? -129a9974 In base 14, what is -7 + 484701? 4846d8 In base 2, what is 101011110 - 11001101010001100? -11001100100101110 In base 16, what is 0 - -2a126c? 2a126c In base 13, what is 34 - 4b7c49? -4b7c15 In base 14, what is 8 - 39230b? -392303 In base 5, what is -104 - -1001121000? 1001120341 In base 6, what is 0 + -2133021? -2133021 In base 8, what is 21 + -2301575? -2301554 In base 13, what is -1151c515 + 0? -1151c515 In base 11, what is 21208 + -698? 20620 In base 5, what is -3003441 + 4212? -2444224 In base 9, what is -2 + -22808071? -22808073 In base 9, what is -5538136 + 2? -5538134 In base 3, what is 12120222 + 2022111? 21220110 In base 4, what is -10 + -1132333202331? -1132333203001 In base 12, what is -3b3a5 - 25? -3b40a In base 14, what is -2 - -a2d938c? a2d938a In base 8, what is 224 - 56310? -56064 In base 6, what is 33 - -25351254? 25351331 In base 10, what is 3 + -46743800? -46743797 In base 13, what is a5a - -21180? 21c0a In base 8, what is 34130246 - 3? 34130243 In base 2, what is 111000011011 - 10010100001000110? -10001101000101011 In base 6, what is 243023 + -153? 242430 In base 7, what is 16630364 - -36? 16630433 In base 4, what is 2230 - -13132021? 13200311 In base 5, what is 33 + -40301222014? -40301221431 In base 9, what is 4 + -154741145? -154741141 In base 7, what is -103462563 - -24? -103462536 In base 14, what is -2 - 4c7927? -4c7929 In base 7, what is -36324 - -12045? -24246 In base 12, what is -85b63654 + 1? -85b63653 In base 15, what is -6ae7 + -1d7? -6cce In base 6, what is -1235544055 - -132? -1235543523 In base 11, what is -1119490 - -34? -1119457 In base 10, what is -298 + 256508? 256210 In base 5, what is 132413400 + -434? 132412411 In base 6, what is 2 + 1345343232? 1345343234 In base 3, what is -10020121211111222 + -2? -10020121211112001 In base 8, what is -26 - 141617537? -141617565 In base 16, what is -2 + 38fdc58? 38fdc56 In base 5, what is 30314041101 - 1? 30314041100 In base 16, what is 8 + -1152f4? -1152ec In base 15, what is -1d8e - 2551a? -273a9 In base 11, what is -611 + 323a73? 323462 In ba
{ "pile_set_name": "DM Mathematics" }
the prime factors of 2277. 3, 11, 23 List the prime factors of 76998. 2, 3, 41, 313 What are the prime factors of 19324? 2, 4831 What are the prime factors of 898? 2, 449 What are the prime factors of 79490? 2, 5, 7949 What are the prime factors of 32411? 32411 What are the prime factors of 26722? 2, 31, 431 List the prime factors of 7581. 3, 7, 19 List the prime factors of 61186. 2, 30593 What are the prime factors of 1138? 2, 569 List the prime factors of 15071. 7, 2153 List the prime factors of 2601. 3, 17 What are the prime factors of 1745? 5, 349 List the prime factors of 77748. 2, 3, 11, 19, 31 What are the prime factors of 196? 2, 7 List the prime factors of 77404. 2, 37, 523 List the prime factors of 15071. 7, 2153 What are the prime factors of 1877? 1877 What are the prime factors of 1301? 1301 What are the prime factors of 1896? 2, 3, 79 List the prime factors of 757. 757 What are the prime factors of 13732? 2, 3433 List the prime factors of 14624. 2, 457 What are the prime factors of 20767? 19, 1093 List the prime factors of 11279. 11279 List the prime factors of 12432. 2, 3, 7, 37 What are the prime factors of 12361? 47, 263 What are the prime factors of 3653? 13, 281 List the prime factors of 14083. 14083 List the prime factors of 9341. 9341 List the prime factors of 27467. 11, 227 What are the prime factors of 817? 19, 43 List the prime factors of 42598. 2, 19, 59 List the prime factors of 40217. 131, 307 What are the prime factors of 17200? 2, 5, 43 List the prime factors of 1967. 7, 281 List the prime factors of 75991. 75991 List the prime factors of 965. 5, 193 What are the prime factors of 112078? 2, 56039 List the prime factors of 654. 2, 3, 109 What are the prime factors of 5827? 5827 List the prime factors of 9420. 2, 3, 5, 157 What are the prime factors of 4396? 2, 7, 157 What are the prime factors of 30034? 2, 15017 List the prime factors of 1002. 2, 3, 167 What are the prime factors of 955? 5, 191 What are the prime factors of 1079? 13, 83 List the prime factors of 2901. 3, 967 What are the prime factors of 1547? 7, 13, 17 List the prime factors of 190. 2, 5, 19 List the prime factors of 133959. 3, 7, 6379 List the prime factors of 8853. 3, 13, 227 What are the prime factors of 11937? 3, 23, 173 List the prime factors of 9271. 73, 127 List the prime factors of 23107. 7, 3301 List the prime factors of 1329. 3, 443 List the prime factors of 6195. 3, 5, 7, 59 What are the prime factors of 6315? 3, 5, 421 What are the prime factors of 2088? 2, 3, 29 What are the prime factors of 19536? 2, 3, 11, 37 What are the prime factors of 10903? 10903 List the prime factors of 31854. 2, 3, 5309 What are the prime factors of 276? 2, 3, 23 List the prime factors of 686. 2, 7 List the prime factors of 121803. 3, 11, 3691 What are the prime factors of 1325? 5, 53 What are the prime factors of 2480? 2, 5, 31 List the prime factors of 54397. 7, 19, 409 What are the prime factors of 69? 3, 23 List the prime factors of 599. 599 What are the prime factors of 1388? 2, 347 List the prime factors of 2733. 3, 911 What are the prime factors of 621? 3, 23 What are the prime factors of 71929? 11, 13, 503 List the prime factors of 6750. 2, 3, 5 What are the prime factors of 15555? 3, 5, 17, 61 List the prime factors of 671. 11, 61 List the prime factors of 10172. 2, 2543 List the prime factors of 1521. 3, 13 What are the prime factors of 2757? 3, 919 What are the prime factors of 85? 5, 17 What are the prime factors of 10237? 29, 353 List the prime factors of 2067. 3, 13, 53 List the prime factors of 773. 773 List the prime factors of 2060. 2, 5, 103 List the prime factors of 11870. 2, 5, 1187 List the prime factors of 2293. 2293 What are the prime factors of 12356? 2, 3089 List the prime factors of 26243. 7, 23, 163 What are the prime factors of 73278? 2, 3, 23, 59 What are the prime factors of 4268? 2, 11, 97 List the prime factors of 917. 7, 131 List the prime factors of 871. 13, 67 List the prime factors of 9981. 3, 1109 What are the prime factors of 7727? 7727 List the prime factors of 18593. 18593 List the prime factors of 736. 2, 23 What are the prime factors of 381? 3, 127 List the prime factors of 7607. 7607 What are the prime factors of 4656? 2, 3, 97 List the prime factors of 73929. 3, 19, 1297 What are the prime factors of 460? 2, 5, 23 List the prime factors of 97179. 3, 29, 1117 List the prime factors of 109526. 2, 23, 2381 What are the prime factors of 4372? 2, 1093 What are the prime factors of 12501? 3, 463 What are the prime factors of 6309? 3, 701 What are the prime factors of 4718? 2, 7, 337 What are the prime factors of 92803? 17, 53, 103 List the prime factors of 52159. 43, 1213 List the prime factors of 510. 2, 3, 5, 17 What are the prime factors of 13848? 2, 3, 577 List the prime factors of 2507. 23, 109 List the prime factors of 60944. 2, 13, 293 What are the prime factors of 57221? 57221 What are the prime factors of 1647? 3, 61 List the prime factors of 8096. 2, 11, 23 What are the prime factors of 5872? 2, 367 What are the prime factors of 10? 2, 5 List the prime factors of 71169. 3, 7, 3389 What are the prime factors of 77001? 3, 25667 List the prime factors of 7637. 7, 1091 List the prime factors of 10713. 3, 3571 What are the prime factors of 46812? 2, 3, 47, 83 List the prime factors of 2167. 11, 197 List the prime factors of 794. 2, 397 What are the prime factors of 8023? 71, 113 What are the prime factors of 14662? 2, 7331 What are the prime factors of 4622? 2, 2311 What are the prime factors of 497? 7, 71 List the prime factors of 1130. 2, 5, 113 What are the prime factors of 16652? 2, 23, 181 List the prime factors of 6799. 13, 523 What are the prime factors of 607? 607 What are the prime factors of 2421? 3, 269 List the prime factors of 2590. 2, 5, 7, 37 What are the prime factors of 1556? 2, 389 List the prime factors of 7991. 61, 131 List the prime factors of 26382. 2, 3, 4397 List the prime factors of 4989. 3, 1663 What are the prime factors of 13873? 13873 List the prime factors of 3601. 13, 277 What are the prime factors of 7842? 2, 3, 1307 List the prime factors of 979. 11, 89 List the prime factors of 8434. 2, 4217 List the prime factors of 51545. 5, 13, 61 List the prime factors of 311. 311 What are the prime factors of 9772? 2, 7, 349 List the prime factors of 2126. 2, 1063 List the prime factors of 50141. 7, 13, 19, 29 What are the prime factors of 10328? 2, 1291 What are the prime factors of 5690? 2, 5, 569 What are the prime factors of 3223? 11, 293 What are the prime factors of 25949? 7, 11, 337 What are the prime factors of 5207? 41, 127 List the prime factors of 87538. 2, 11, 23, 173 List the prime factors of 31661. 7, 4523 List the prime factors of 45070. 2, 5, 4507 What are the prime factors of 878? 2, 439 List the prime factors of 6262. 2, 31, 101 List the prime factors of 7975. 5, 11, 29 What are the prime factors of 15511? 15511 What are the prime factors of 1027? 13, 79 List the prime factors of 15441. 3, 5147 What are the prime factors of 13650? 2, 3, 5, 7, 13 List the prime factors of 22007. 59, 373 List the prime factors of 18278. 2, 13, 19, 37 List the prime factors of 9382. 2, 4691 List the prime factors of 30526. 2, 15263 What are the prime factors of 3151? 23, 137 What are the prime factors of 7895? 5, 1579 What are the prime factors of 123? 3, 41 List the prime factors of 13805. 5, 11, 251 List the prime factors of 1607. 1607 What are the prime factors of 4941? 3, 61 List the prime factors of 98. 2, 7 What are the prime factors of 16? 2 What are the prime factors of 74? 2, 37 List the prime factors of 4092. 2, 3, 11, 31 What are the prime factors of 1237? 1237 List the prime factors of 1084. 2, 271 List the prime factors of 29019. 3, 17, 569 What are the prime factors of 2198? 2, 7, 157 What are the prime factors of 2688? 2, 3, 7 What are the prime factors of 9095? 5, 17, 107 List the prime factors of 1281. 3, 7, 61 List the prime factors of 475. 5, 19 List the prime factors of 2813. 29, 97 What are the prime factors of 7332? 2, 3, 13, 47 What are the prime factors of 26423? 26423 What are the prime factors of 11775? 3, 5, 157 List the prime factors of 3495. 3, 5, 233 What are the
{ "pile_set_name": "DM Mathematics" }
- l. Calculate the highest common factor of g and w. 11 Let y be (-9)/(-6)*10/3. Suppose 3*f + 4*a = 75, 2*f - 76 = -y*a - 19. What is the greatest common factor of 14 and f? 7 Suppose -12 = -6*r + 3*r. Suppose r*w - 5 = 5*t + 4, 2*w - 6 = 2*t. Suppose -5*q = n - w, 0 = 2*q + 3 - 1. Calculate the highest common divisor of n and 99. 11 Let a = -175 + 474. What is the greatest common factor of 115 and a? 23 Let w be 80/(-15)*9/(-12). Calculate the highest common divisor of 14 and w. 2 Suppose 5*y = -r + 36, 5 = y + 4*r + 13. Suppose h + 2*h = v + 31, -2*h - 5*v = -49. Calculate the greatest common factor of y and h. 4 Suppose -3*t + 308 + 286 = 0. Let w = -29 - -31. Suppose -6 = w*h, 4*h - 35 = -4*b + 41. What is the highest common divisor of b and t? 22 Suppose 5*u + 4*b = 3*b + 16, -3*u - 4 = 4*b. Suppose -3*k + u*n = -49, 2*k - n - 30 = n. What is the highest common factor of 44 and k? 11 Let t(o) = 4*o**2 + 2*o - 2. Let k be 12/15*15/(-6). Let x be t(k). Let f be 2/10 + 108/x. What is the highest common divisor of 99 and f? 11 Suppose 0*k + 2*k = -4. Let q(c) = 3 - 4*c + 2*c**2 + 3 - 4 - 5. Let x be q(k). Calculate the highest common factor of x and 52. 13 Suppose 0 = -5*v - v + 12. Let y = -60 + 101. Let p = y - 27. Calculate the highest common divisor of v and p. 2 Let w = 160 + -132. Let u(z) = z**3 - 3*z**2 + 4*z. Let g be u(5). What is the greatest common factor of g and w? 14 Let u be (-146)/(-4) + (-3)/2. Let h = 26 - -219. What is the greatest common divisor of u and h? 35 Let w(v) = -2*v - 10. Let g be w(-7). Suppose -g*j + 115 + 249 = 4*y, -3*j + 453 = 5*y. Calculate the greatest common factor of 225 and y. 45 Suppose -13 = -5*f + 7. Suppose 40 + 20 = -f*m. Let w be (54/m)/(9/(-60)). Calculate the greatest common divisor of w and 168. 24 Suppose 4*y + 18 = 8*y - l, 3*l = -4*y + 26. Suppose 2*c + 28 = 5*g, 3*g = y*g + 2*c - 14. Let d = -14 - -62. Calculate the highest common divisor of g and d. 6 Suppose 0 = -19*p + 211 + 36. Let o be (15/2)/(2/(-24)). Let w = o + 155. What is the greatest common divisor of p and w? 13 Let r be (-326)/(13 - 15) + 1/(-1). What is the greatest common divisor of 189 and r? 27 Let j be (-4)/38 - 141384/(-228). What is the highest common divisor of j and 20? 20 Suppose m - 5*p + 13 = 0, -4*m = -4*p + 2 + 2. Suppose g + m*c - 13 = 0, 3*g + c - 54 = -0*c. What is the highest common divisor of g and 19? 19 Suppose 26 = -3*b + 5*k, -3*b + 0*k = k + 2. Let s be 2*((-17)/b + -2). Let f be (210/168)/(2/104). Calculate the highest common factor of f and s. 13 Let o(t) = -t**3 + 7*t**2 + 30*t + 16. Let a be o(10). What is the greatest common divisor of 472 and a? 8 Let l be 694/30 - 22/165. Let n = l - 19. Suppose 7*o = n*o + 75. Calculate the greatest common divisor of 5 and o. 5 Suppose 6561 = 16*c - 2319. What is the greatest common divisor of 15 and c? 15 Suppose 1464 - 1560 = -u. What is the highest common divisor of 6 and u? 6 Let c = 241 + -221. Calculate the greatest common factor of c and 50. 10 Let o(y) = y - 3. Let i be o(6). Suppose -p = i*p - 560. What is the greatest common factor of 28 and p? 28 Let w be -2 - 5*-6*1. Let t be -4 - ((-6)/(-3) - 13). Calculate the highest common divisor of w and t. 7 Let n(v) = -3*v + 5 - 6 - 2 + 0*v**3 + 2*v**3 - 7*v**2. Let l be n(6). Suppose -39 = 5*g - l. What is the highest common divisor of 36 and g? 12 Let p be 33/22*(-88)/(-6). Calculate the highest common factor of 8 and p. 2 Suppose x + x - 24 = 0. Suppose -2*r + x = 4*r. Calculate the greatest common factor of r and 8. 2 Let a(w) = w**3 + 15*w**2 + 12*w + 12. Let t be a(-16). Let b be (-1)/(-1) - 1*10. Let i be 2/b - t/18. What is the greatest common divisor of 6 and i? 6 Suppose 5*w = 4*n + 777, -n + 444 = 3*w + 4*n. Calculate the highest common divisor of 9 and w. 9 Suppose 0*y - y + 5 = 0. Let o(g) = g**3 + g**2 + 4*g + 3. Let d be o(-2). Let u be (-15)/(d/15 - 0). Calculate the highest common divisor of u and y. 5 Let c be (-1071)/(-45) - 28/35. What is the greatest common factor of 69 and c? 23 Suppose -5*l - 323 = -24*l. Calculate the greatest common factor of 221 and l. 17 Suppose n - 6 = -1. Suppose -13 = 3*d - 1, 5*y = -n*d + 100. Let x be 0 + 59 + (5 - (-3 - -7)). Calculate the highest common factor of y and x. 12 Suppose 3*w - 2*w - 386 = -2*t, 4*w + 3*t - 1554 = 0. Calculate the highest common divisor of 156 and w. 78 Let r be (-5)/20 - 21/(-4). Suppose 2*g + 10 = 0, 0 = -4*m + r*g + 68 + 73. Let b = -17 + m. Calculate the highest common divisor of b and 108. 12 Suppose 90 = 5*m - 3*y, y + 55 = 2*m - 4*y. Suppose 0*h = h - 5*k - 135, 0 = 5*h - 4*k - 675. What is the highest common factor of m and h? 15 Let v(l) be the first derivative of 5/2*l**2 + 5 - 1/4*l**4 + 6*l + 2*l**3. Let n be v(6). Calculate the highest common factor of n and 9. 9 Let b(a) = a + 7. Let v be b(-5). Let s = -424 - -438. What is the highest common factor of v and s? 2 Suppose 0 = -0*r + 5*r + 4*k - 53, 5*k - 10 = 0. What is the highest common divisor of r and 630? 9 Let l be (-20 + 14)*(-116)/6. Calculate the greatest common factor of 145 and l. 29 Let x be ((-244)/(-2))/(-2) + -2. Let g be 332/7 - 36/x. What is the greatest common factor of g and 72? 24 Suppose 5*z - 14*w = -10*w + 2519, -4*w + 16 = 0. Calculate the highest common divisor of z and 39. 39 Suppose v - g - 34 = 0, -3*g + 1 = -4*g. Calculate the highest common factor of v and 99. 33 Let w be -399 + (-2 - 2 - -4). Let y be (-7)/21 - w/9. Let o be y/(-55) + 1058/10. Calculate the highest common divisor of o and 21. 21 Let g = -139 + 415. What is the greatest common divisor of g and 36? 12 Let c(i) = i**2 - 16*i + 28. Let p be c(15). Suppose -4*k + 66 = b, 5*k - p = -4*b + 75. Calculate the highest common factor of k and 16. 16 Suppose -86*w + 35*w = -1020. Calculate the highest common divisor of w and 170. 10 Let z(o) = -2*o**2 + 19*o - 5. Let k be z(9). Suppose 3*p + 24 = k*p. Calculate the highest common factor of 6 and p. 6 Suppose 9*t - 4*t = 0. Let w be 1 - ((-8)/(-4) - t). Let q be (-38)/(0 - w/(-4)). Calculate the greatest common factor of q and 19. 19 Let h(o) = -2*o**2 + 18*o - 10. Let u be h(7). What is the greatest common divisor of 2070 and u? 18 Suppose q = -2*u + 47, 4*u - 110 = -u - 4*q. Let r = u + -18. Suppose 2 - r = -3*j. What is the highest common factor of 2 and j? 2 Let h(c) = 77*c**2 + 5*c + 8. Let q be 8/(-10)*10/4. Let o be h(q). Calculate the greatest common factor of 34 and o. 34 Suppose -4*l - 35 = -3*n - 86, 23 = 2*l + n. What is the greatest common divisor of l and 2? 2 Suppose -13 = -2*a + 25. Suppose -10*u = -8*u + 8. Let m be (-845)/(-45) - u/18. Calculate the highest common divisor of a and m. 19 Let c be 2/(-7) + (-320)/(-140). Let b = -5 + 7. What is the greatest common divisor of b and c? 2 Let f = -658 - -702. What is the highest common divisor of f and 16? 4 Suppose -9*q + 153 = -0*q. Let s(k) = k**2 - 15*k - 29. Let n be s(q). Suppose 13 = 4*a - 7. What is the highest common divisor of n and a? 5 Suppose x - 12 + 204 = 0. Let g = x - -269. Calculate the greatest common divisor of g and 11. 11 Suppose 8*n - 80 = -256. Let j be 3 + -1 - (n - 8). Let d = 523 + -267. Calculate the highest common divisor of d and j. 32 Let d = 482 - 468. Suppose 0 = -0*f - 5*f + 700. Calculate the greatest common divisor of f and d. 14 Let l(w) = 26*w - 190. Let s be l(8). Suppose -2*h + 17 = -19. What is the highest common factor of s and h? 18 Let g(y) = 4 + 3 - 11 - 20 + 2*y. Let p be g(18). Calculate the highest common factor of 48 and p. 12 Let x = -6 - -4. Let r be -3 + (x + -38)/(-4). Let y = 41 + r. Calculate the greatest common factor of y and 8. 8 Let t(o) = -3*o - 10. Let k be t(-12). Suppose 17*m = 403 + 260. What is the greatest common factor of k and m? 13 Let c be 10 + -16 + (2 - -11) + 248. Calculate the greatest common factor of 357 and c. 51 Let n = 6800 - 4592. Calculate the greatest common divisor of n and 69. 69 Let c(d) = d**3 + 3*d**2 - 4*d + 3. Let x be c(-4). Let n be (-12)/x*-1 - -2. Suppose 16 = 10*l - n*l. What is the greatest common factor of 8 and l? 4 Let b(p) = -p**2 - 8*p - 6. Let l be b(-6). Let w(n) = 2*n**2. Let s be w(0). Suppose -8*q + l*q + 28 = s. Calculate the greatest common divisor of 14 and q
{ "pile_set_name": "DM Mathematics" }
of sequence xeel when four letters picked without replacement from xlleexxe? 3/140 What is prob of sequence gug when three letters picked without replacement from ugugiiugzzgizlg? 2/91 Four letters picked without replacement from {g: 4, c: 3, p: 7}. What is prob of sequence cpgp? 3/143 Two letters picked without replacement from jjtx. Give prob of sequence xt. 1/12 Four letters picked without replacement from nnbnnbnnnnnbnnnnbnb. Give prob of sequence bbbb. 5/3876 Calculate prob of sequence bhb when three letters picked without replacement from {y: 6, h: 2, b: 6, f: 1, l: 3, j: 2}. 1/114 What is prob of sequence sy when two letters picked without replacement from {k: 2, y: 1, s: 3, x: 1}? 1/14 What is prob of sequence pp when two letters picked without replacement from {p: 9, v: 5}? 36/91 Calculate prob of sequence yev when three letters picked without replacement from payve. 1/60 Calculate prob of sequence lbl when three letters picked without replacement from {d: 8, l: 6, b: 1}. 1/91 What is prob of sequence sm when two letters picked without replacement from smoanmz? 1/21 Four letters picked without replacement from mzynmmu. Give prob of sequence mmmy. 1/140 Two letters picked without replacement from djjjjjjddddsdjjsjd. What is prob of sequence sd? 7/153 Three letters picked without replacement from {w: 18, m: 2}. Give prob of sequence mwm. 1/190 What is prob of sequence hn when two letters picked without replacement from {h: 7, j: 1, n: 11}? 77/342 What is prob of sequence ixux when four letters picked without replacement from {z: 1, l: 1, i: 3, u: 4, x: 6}? 1/91 Two letters picked without replacement from {l: 2, j: 3}. What is prob of sequence ll? 1/10 Three letters picked without replacement from ddvxvdh. What is prob of sequence dxv? 1/35 Two letters picked without replacement from qjjqqjzzczqqzqc. What is prob of sequence jc? 1/35 What is prob of sequence wwwd when four letters picked without replacement from wwwwwdddwww? 7/55 Calculate prob of sequence umy when three letters picked without replacement from ddmguyd. 1/210 Two letters picked without replacement from xrwxh. Give prob of sequence hx. 1/10 Calculate prob of sequence pipo when four letters picked without replacement from pmmibimpmo. 1/1260 Calculate prob of sequence iei when three letters picked without replacement from iiiiieiiiiiii. 1/13 What is prob of sequence xxc when three letters picked without replacement from {x: 1, c: 7}? 0 Calculate prob of sequence xxf when three letters picked without replacement from {x: 2, c: 1, z: 1, f: 2}. 1/30 What is prob of sequence qwh when three letters picked without replacement from {q: 1, x: 1, w: 1, j: 1, p: 2, h: 1}? 1/210 Calculate prob of sequence sx when two letters picked without replacement from {s: 1, x: 1, g: 4, a: 2, b: 10}. 1/306 Two letters picked without replacement from clzdilllblizd. What is prob of sequence iz? 1/39 Calculate prob of sequence et when two letters picked without replacement from {e: 3, p: 2, v: 2, t: 6}. 3/26 Calculate prob of sequence uf when two letters picked without replacement from ooaauuuaaiiufaaif. 1/34 Four letters picked without replacement from {z: 1, o: 3, i: 3}. Give prob of sequence ozoo. 1/140 Four letters picked without replacement from ifyfhpr. What is prob of sequence yfpi? 1/420 Two letters picked without replacement from qududeqremmm. Give prob of sequence ud. 1/33 Calculate prob of sequence qtq when three letters picked without replacement from {q: 6, t: 7}. 35/286 What is prob of sequence rco when three letters picked without replacement from {n: 2, o: 5, a: 2, c: 2, x: 2, r: 1}? 5/1092 Three letters picked without replacement from sqqqqqss. Give prob of sequence sqq. 5/28 Two letters picked without replacement from {f: 1, a: 2, m: 1, w: 1}. Give prob of sequence aw. 1/10 Three letters picked without replacement from {h: 1, r: 1, b: 2, x: 1, l: 1, z: 1}. What is prob of sequence lrh? 1/210 Calculate prob of sequence ue when two letters picked without replacement from ueiefeueueuffe. 12/91 What is prob of sequence dped when four letters picked without replacement from {p: 2, e: 7, i: 3, d: 3}? 1/390 What is prob of sequence nnj when three letters picked without replacement from {n: 9, j: 5}? 15/91 Three letters picked without replacement from roxaaooxxd. Give prob of sequence oar. 1/120 Three letters picked without replacement from ojjjjoojomjuoj. What is prob of sequence joj? 5/52 Two letters picked without replacement from {a: 1, t: 8, n: 1, d: 6}. Give prob of sequence da. 1/40 Four letters picked without replacement from {u: 3, c: 3}. Give prob of sequence ucuc. 1/10 Calculate prob of sequence ww when two letters picked without replacement from {m: 1, w: 2, k: 2}. 1/10 Two letters picked without replacement from qydqyqdydhqftqqhddf. Give prob of sequence ff. 1/171 Three letters picked without replacement from tvltvlvlvvvvvvlv. Give prob of sequence vtl. 1/42 What is prob of sequence bb when two letters picked without replacement from {y: 1, b: 18}? 17/19 Two letters picked without replacement from {n: 5, v: 2, a: 1, b: 3, p: 4, s: 5}. Give prob of sequence ns. 5/76 Two letters picked without replacement from {x: 3, s: 1, r: 10, u: 4}. Give prob of sequence ur. 20/153 Two letters picked without replacement from ssxdsxfisiiwsx. What is prob of sequence sx? 15/182 What is prob of sequence zll when three letters picked without replacement from zll? 1/3 Two letters picked without replacement from svtvvxxvjxx. What is prob of sequence jt? 1/110 Calculate prob of sequence zz when two letters picked without replacement from {z: 2, a: 3}. 1/10 Three letters picked without replacement from {l: 1, w: 4, a: 1, e: 5}. Give prob of sequence ewa. 2/99 Three letters picked without replacement from {r: 4, m: 2, s: 6, i: 1}. Give prob of sequence msr. 4/143 What is prob of sequence yn when two letters picked without replacement from nunuuyyuyy? 4/45 Three letters picked without replacement from wwwwwwfwwwf. Give prob of sequence ffw. 1/55 Three letters picked without replacement from {q: 4, k: 3, g: 2, v: 9, o: 1}. What is prob of sequence gvo? 1/323 Calculate prob of sequence sslj when four letters picked without replacement from jslsslssjcs. 1/66 Two letters picked without replacement from {i: 1, d: 6, m: 3, r: 2}. What is prob of sequence mr? 1/22 Calculate prob of sequence nn when two letters picked without replacement from {n: 5, t: 11}. 1/12 What is prob of sequence to when two letters picked without replacement from totototfoof? 2/11 Three letters picked without replacement from bbchhl. What is prob of sequence lhb? 1/30 Calculate prob of sequence fnj when three letters picked without replacement from {j: 1, f: 2, g: 3, n: 3, o: 1}. 1/120 Four letters picked without replacement from zoozooouzzrzzz. What is prob of sequence ouoo? 5/2002 Three letters picked without replacement from {e: 15, t: 3}. Give prob of sequence tte. 5/272 What is prob of sequence aj when two letters picked without replacement from {j: 4, r: 1, h: 5, g: 3, x: 1, a: 3}? 3/68 Calculate prob of sequence uada when four letters picked without replacement from aauaaaaaaauaaaaad. 13/2040 Four letters picked without replacement from cccctcfctcccnftcft. Give prob of sequence fntf. 1/3060 Four letters picked without replacement from {h: 3, q: 4, g: 4, s: 3}. Give prob of sequence hhqq. 3/1001 Three letters picked without replacement from {m: 7, x: 4, p: 3}. What is prob of sequence mxp? 1/26 What is prob of sequence hw when two letters picked without replacement from {h: 3, n: 4, w: 2, e: 3, g: 7}? 1/57 Four letters picked without replacement from {o: 4, m: 5, e: 4, g: 3}. What is prob of sequence omgo? 3/728 What is prob of sequence rc when two letters picked without replacement from rjjric? 1/15 Three letters picked without replacement from otttttto. Give prob of sequence tot. 5/28 Four letters picked without replacement from {j: 4, p: 4, l: 11}. Give prob of sequence pplj. 11/1938 What is prob of sequence dbt when three letters picked without replacement from {q: 7, b: 1, t: 2, d: 1, i: 4}? 1/1365 Two letters picked without replacement from nlvnvvllvv. What is prob of sequence ln? 1/15 What is prob of sequence xbx when
{ "pile_set_name": "DM Mathematics" }
he biggest value in -9.9, -1.2, 442/5? 442/5 Which is the second biggest value? (a) 1.6 (b) 742 (c) 1 (d) -3 (e) 2 e What is the third biggest value in -15/8, -2/11, 18/5? -15/8 Which is the biggest value? (a) -1/2 (b) -13 (c) -0.198 (d) -17 c What is the third biggest value in -5, -11, -223/3, -3, -0.2? -5 Which is the third biggest value? (a) -4/5 (b) 0 (c) -1/4 (d) -1022/3 a Which is the second smallest value? (a) -0.4 (b) -3/2 (c) 0.1 (d) 4 (e) 53 a Which is the fifth biggest value? (a) -1/5 (b) -0.5 (c) -3 (d) 1/6 (e) -24 e Which is the second biggest value? (a) 54/47 (b) -0.2 (c) 0.1 (d) 4 (e) -4 (f) 6 d What is the biggest value in -2, -0.2, 1/3, -9, -5, -304? 1/3 What is the fifth smallest value in -2, 1, -26, -15, 0.05? 1 Which is the second smallest value? (a) -0.065 (b) -2 (c) 0.5 (d) 3 (e) -5 (f) -21 e What is the second biggest value in 3/2, 10, -0.3339, -0.5? 3/2 Which is the fourth smallest value? (a) 2/5 (b) 68 (c) -12/11 (d) 1 b What is the fifth smallest value in -1, -1.2, 52, -5, 1/2, 2/7? 1/2 What is the third biggest value in 1/29, -35, 3, 1/2? 1/29 Which is the fourth smallest value? (a) -1 (b) -2.1 (c) -2/7 (d) -10 (e) 3/5 c What is the fifth smallest value in 3, 6, 0, -9, -4? 6 What is the second biggest value in 2.1, -2/9, 0, 384? 2.1 Which is the fourth smallest value? (a) -0.2 (b) 12 (c) -2 (d) 6 (e) 16 b Which is the third smallest value? (a) 2 (b) -5 (c) -2684/25 (d) 8 a What is the second smallest value in 1329, -6, 0.5? 0.5 Which is the third biggest value? (a) 0.2 (b) 1 (c) -550 c What is the second biggest value in 133, -7, -21, -0.2, -5? -0.2 Which is the second biggest value? (a) -0.34 (b) -0.4 (c) 2/3549 a Which is the fifth biggest value? (a) -0.05 (b) -131 (c) -2/9 (d) -2 (e) -5 b Which is the third biggest value? (a) 13 (b) -3 (c) -1 (d) 9 (e) 2 e What is the fourth smallest value in -1, -15, -8, -14, 1/2? -1 Which is the fifth smallest value? (a) -14 (b) -0.1 (c) -1 (d) 0.3 (e) 2/11 d Which is the third smallest value? (a) 0.02 (b) -0.1 (c) 1.2 (d) -189 a Which is the biggest value? (a) 48 (b) -0.3 (c) -9 (d) 1/46 a What is the third biggest value in 8, -16, -97? -97 Which is the second biggest value? (a) 0.03 (b) 1 (c) 2/15 (d) -3/7 c Which is the second smallest value? (a) -4 (b) -22 (c) 21 (d) -2/107 a What is the fifth smallest value in -2/13, -2/15, -214, -1, -3? -2/15 Which is the third smallest value? (a) -0.1 (b) 23 (c) 28 (d) 7 b Which is the third biggest value? (a) 2/7 (b) -1 (c) 1/12672 b What is the smallest value in 1/7, -9437, 6? -9437 Which is the smallest value? (a) 2/73 (b) -2/3 (c) 0.4 (d) 2/3 (e) 2 b What is the second smallest value in 301, -0.3, -3.77? -0.3 What is the biggest value in 0.153, -14, -2, -47/5? 0.153 What is the fourth smallest value in 8, -3, -1345, -0.2, -0.1, -4? -0.2 What is the smallest value in -423, 4, 1/3? -423 Which is the fourth biggest value? (a) -8 (b) -2 (c) 2 (d) -115/37 a What is the fourth smallest value in -0.2, -42846, -0.3, -3? -0.2 What is the third smallest value in 3, -877, -5, -1/2, 0.4? -1/2 What is the third smallest value in -2, -2/133455, -1/3? -2/133455 Which is the third biggest value? (a) 0 (b) 2/7 (c) -3 (d) 181.3 (e) 1/3 b What is the third biggest value in 0.13, -2/5, 6, 2/3, -4, -2/31? 0.13 What is the second biggest value in 12, 36343, 0.4? 12 Which is the biggest value? (a) 1 (b) 0.5 (c) 1/5 (d) 4 (e) -3 d What is the biggest value in -5, -0.1, -2/3, -100, -3, -1.1? -0.1 What is the third biggest value in 2/15, -0.2, 0.034, 24? 0.034 Which is the biggest value? (a) 1/5 (b) -38 (c) 3 (d) -0.16 c What is the smallest value in -2/37, 8, 69, -0.3, 5? -0.3 Which is the third smallest value? (a) -9/4 (b) -15 (c) -4 (d) -7/2 (e) 2/29 d What is the third biggest value in -0.74, -0.7, -1.67, -5? -1.67 What is the fifth biggest value in 19, -21, 0.5, -184/5, 0, 2? -21 What is the biggest value in 723, -6, 0.5? 723 Which is the third biggest value? (a) -3.3 (b) -9.6 (c) 4 b Which is the third biggest value? (a) -2751 (b) 3/8 (c) 2/19 (d) 0.6 c What is the smallest value in -1, 1/4, 3, 2/3, -9/62? -1 What is the biggest value in 972, -1/10, -2, 5, -2/7? 972 Which is the fifth biggest value? (a) -2/7 (b) 89 (c) -7 (d) 3 (e) 1/3 c What is the biggest value in -3, -5.29, -23/29? -23/29 Which is the smallest value? (a) -0.3 (b) 13.15 (c) 1.3 a Which is the second biggest value? (a) -5 (b) -1/8 (c) -0.2 (d) -1031342 c Which is the second biggest value? (a) -144/13 (b) -32 (c) 7 (d) 2 d What is the second smallest value in 2, -3/7, -4416? -3/7 Which is the third smallest value? (a) 7 (b) -5 (c) 4 (d) 184 a What is the third biggest value in 2/5, -5, 2, 0, -1738, 5? 2/5 Which is the fourth biggest value? (a) -0.14 (b) 1 (c) -33/2 (d) -1/5 (e) 1/2 (f) -2 d What is the fourth biggest value in 49, -4/7, -15, 0.9? -15 Which is the third biggest value? (a) 1/2 (b) -3/7 (c) 30 (d) -4 (e) 5/9 a Which is the fourth smallest value? (a) -87/5 (b) -3/2 (c) -4 (d) -5 b Which is the fifth smallest value? (a) -1/5 (b) 13.2 (c) 3 (d) 1548 (e) -3/2 d What is the third smallest value in 4/7, -13.42, -1? 4/7 Which is the third smallest value? (a) -0.2 (b) 0.1 (c) -55080 b What is the smallest value in 264, 108, -4? -4 Which is the third biggest value? (a) -115 (b) 10 (c) -1/5 (d) -2 d What is the third biggest value in 4, -19, -1/22, -17? -17 Which is the third smallest value? (a) -4 (b) 2 (c) -2/11 (d) 1/10 (e) 33 d Which is the second biggest value? (a) 9 (b) 5 (c) 0.571 b Which is the fifth smallest value? (a) -18 (b) 10 (c) 2 (d) -0.9 (e) 3 b Which is the smallest value? (a) -0.67 (b) 5 (c) 14 (d) -3 (e) 143 d Which is the smallest value? (a) -2 (b) -3314 (c) 22 (d) -4 b Which is the second biggest value? (a) -5/54 (b) -0.13 (c) 0.3 (d) 3/11 d What is the smallest value in 144, -0.5, -5? -5 Which is the third biggest value? (a) -1/681 (b) -15 (c) 0 (d) -12 d What is the third smallest value in 2, 4, 48157? 48157 What is the third smallest value in 1935, -5, -2? 1935 Which is the third smallest value? (a) 11119 (b) 5 (c) -4 (d) 2 (e) 0.1 d Which is the fourth smallest value? (a) -0.4 (b) 0 (c) 34 (d) -2/13 (e) -21 (f) 0.2 b What is the biggest value in 2/11, -547/788, 1? 1 What is the second smallest value in -0.3, 674, 0.06? 0.06 Which is the third biggest value? (a) -2 (b) 1/5 (c) 2084 a Which is the third biggest value? (a) -8 (b) -2/21 (c) 26 (d) 5 b What is the fourth biggest value in 10, -1, 0.2, -3/2? -3/2 Which is the biggest value? (a) 0.4 (b) -66/41 (c) -0.3 (d) -3/7 (e) -36 a Which is the third smallest value? (a) -3/8 (b) -0.05 (c) 1 (d) 4.82 (e) -1 (f) 5 b Which is the second biggest value? (a) 53 (b) -0.1 (c) 0 (d) -6 (e) -3 c What is the fifth biggest value in 5, 0.4, -0.5, 1, 10, 0.112? 0.112 Which is the smallest value? (a) -3/2 (b) 272 (c) -213 c What is the third biggest value in 0.8, -1.038, 5? -1.038 Which is the second biggest value? (a) 3 (b) 4 (c) -1/22 (d) -93 a What is the second smallest value in 0.4, 25, -4/7, -23, 0? -4/7 What is the biggest value in -14/9, -2/7, 2/7, 36/7, -28? 36/7 What is the fourth biggest value in 11, 0.1, -0.2, 58, 1, -2/5? 0.1 What is the second smallest value in -4794/25, -1/7, 2? -1/7 What is the fifth biggest value in 10, 0.2, -4, -0.092, -9? -9 What is the third smallest value in 9, -4, -152/7? 9 What is the smallest value in -1/13, 1/5, -5, 1/3, -349? -349 What is the third smallest value in -4, -1, 234? 234 Which is the biggest value? (a) 0.28 (b) -2/3 (c) 1271 c Which is the third biggest value? (a) 3 (b) -1 (c) -0.1 (d) 0.4 c Which is the fourth biggest value? (a) -4 (b) -1 (c) 2 (d) 0.059321 (e) 4 b What is the second biggest value in 4, -0.2425, -3? -0.2425 Which is the biggest value? (a) 4/7 (b) 13 (c) 4/13 (d) 437 d What is the fifth biggest value in -0.1, -5, -2, -2/33, 0.069, -4? -4 What is the fourth smallest value in -25840, -2/13, 7, -1? 7 What is the second biggest value in 37, 0.2, -3, 2, 0.02, -2/7? 2 Which is the fourth smallest
{ "pile_set_name": "DM Mathematics" }
54558 Put -5, 1, 34, -4, 26901, -2 in ascending order. -5, -4, -2, 1, 34, 26901 Sort -32, -43, 149, 12, -1. -43, -32, -1, 12, 149 Put -1, -5, 538922 in decreasing order. 538922, -1, -5 Put -5, -163, -5276 in descending order. -5, -163, -5276 Sort 1, -2/3, 5.18, -5/46, -3, 3. -3, -2/3, -5/46, 1, 3, 5.18 Put -2/19, 0, 2.4, -2, 7, 57/7 in increasing order. -2, -2/19, 0, 2.4, 7, 57/7 Put -2173, 4, 2, -26 in decreasing order. 4, 2, -26, -2173 Put -0.5, 4, 1.7, 15, -8 in descending order. 15, 4, 1.7, -0.5, -8 Sort 25444, 10, 19/2 in descending order. 25444, 10, 19/2 Put -81, 1, 2, -5, -788 in increasing order. -788, -81, -5, 1, 2 Put -33, 3, 13, -12, 0 in descending order. 13, 3, 0, -12, -33 Put -8, 10, -5, -1135, -4 in ascending order. -1135, -8, -5, -4, 10 Sort -4, 145, -0.03, -0.4, -265.71. -265.71, -4, -0.4, -0.03, 145 Put -0.4, -1209, 4, -56, -3 in decreasing order. 4, -0.4, -3, -56, -1209 Sort 1/7, 1/15, 0.45, 2/3, -2.2, 2 in ascending order. -2.2, 1/15, 1/7, 0.45, 2/3, 2 Sort -613, 1, 2, 194, 63. -613, 1, 2, 63, 194 Sort 80, 3, 4, -35, -13. -35, -13, 3, 4, 80 Sort 5, 3718, -1, 7, -30. -30, -1, 5, 7, 3718 Sort -5, 5826268, -3 in descending order. 5826268, -3, -5 Sort -8222, -3/10, 2.6 in increasing order. -8222, -3/10, 2.6 Sort 17369, -15433, -2, 2 in decreasing order. 17369, 2, -2, -15433 Put -0.1, 8, -761, -0.9, -52 in ascending order. -761, -52, -0.9, -0.1, 8 Sort 0, -10351, 206. -10351, 0, 206 Sort 67243, 2, 3, 4, -2, -3 in decreasing order. 67243, 4, 3, 2, -2, -3 Sort -0.3, 2610/495551, -1 in decreasing order. 2610/495551, -0.3, -1 Sort 18, -1, 185, 1, -2 in decreasing order. 185, 18, 1, -1, -2 Sort 55, 2, -5340 in descending order. 55, 2, -5340 Sort 7, -4, 4, 373, 3, -232 in decreasing order. 373, 7, 4, 3, -4, -232 Sort 10/11, 0.4, 2/163, 1248. 2/163, 0.4, 10/11, 1248 Put 15314, 20, -2, -5 in descending order. 15314, 20, -2, -5 Sort 2, 10592, -5, 206 in descending order. 10592, 206, 2, -5 Sort 100, 2690, 25, 6 in increasing order. 6, 25, 100, 2690 Put -1.7, 3/11, 0.1, 14, 0.02, 4 in decreasing order. 14, 4, 3/11, 0.1, 0.02, -1.7 Put 38, 16066, 1 in increasing order. 1, 38, 16066 Put -5, 0, 332, 7610, 3 in decreasing order. 7610, 332, 3, 0, -5 Put 1107, -1, -48, 0, 2, 9, 4 in ascending order. -48, -1, 0, 2, 4, 9, 1107 Sort 15, 1, 83, 23, 3, -8 in decreasing order. 83, 23, 15, 3, 1, -8 Put -3, 7, -4, -2, -65, -75, 20 in descending order. 20, 7, -2, -3, -4, -65, -75 Sort 141, 1, -2126, -8 in increasing order. -2126, -8, 1, 141 Sort 2, -3/5, 0, 7.72759 in descending order. 7.72759, 2, 0, -3/5 Sort -1/501, 1/2, -1956.8, 0.4, 1 in descending order. 1, 1/2, 0.4, -1/501, -1956.8 Sort -2/3, -2/8795, -0.5, 3, 203 in ascending order. -2/3, -0.5, -2/8795, 3, 203 Sort -3278, 5, -4, 16, 6, -3. -3278, -4, -3, 5, 6, 16 Sort 0, -147, -9, -2, -37, -56, 2 in ascending order. -147, -56, -37, -9, -2, 0, 2 Put -5, -220, -169, 1, -4, 4 in decreasing order. 4, 1, -4, -5, -169, -220 Sort 2/5, 1544, 4 in increasing order. 2/5, 4, 1544 Sort 173, 18, -1, 58/23 in decreasing order. 173, 18, 58/23, -1 Sort -5, 5, -53, -4/5, -5/29, 2 in ascending order. -53, -5, -4/5, -5/29, 2, 5 Put 7, 4, -193826 in descending order. 7, 4, -193826 Sort 54, -5096, -2, 0, -1, -5 in increasing order. -5096, -5, -2, -1, 0, 54 Put 4, 0.095, 14724 in decreasing order. 14724, 4, 0.095 Sort -12666, -17, 0, -10 in ascending order. -12666, -17, -10, 0 Sort -6928.7, 3, 2/15, 1/7, -5 in decreasing order. 3, 1/7, 2/15, -5, -6928.7 Sort 138, -1.5, 14, 2, -0.3. -1.5, -0.3, 2, 14, 138 Put -3, 67484856.2, 3 in increasing order. -3, 3, 67484856.2 Sort -0.03, -3, 4010, -2/31 in decreasing order. 4010, -0.03, -2/31, -3 Sort 90, -3, 4, 41621, -4, 3, 5 in increasing order. -4, -3, 3, 4, 5, 90, 41621 Sort 3900, -3/5, -1/7, 5, -5, -1/5 in ascending order. -5, -3/5, -1/5, -1/7, 5, 3900 Sort 0, 135, -4, 5, -35, 7 in decreasing order. 135, 7, 5, 0, -4, -35 Put -2, 450, 167, 5, -4, -3 in increasing order. -4, -3, -2, 5, 167, 450 Sort 5, 2505, -4, 2, -45 in decreasing order. 2505, 5, 2, -4, -45 Sort 19, -294789, -5 in descending order. 19, -5, -294789 Put 0.042, 4, 0, 1/41, -12 in increasing order. -12, 0, 1/41, 0.042, 4 Put -0.5, 6, 2, -42, 5/4, -10/49 in decreasing order. 6, 2, 5/4, -10/49, -0.5, -42 Put -26, 20516, -2, 0.2 in ascending order. -26, -2, 0.2, 20516 Put 114, -3, -1, 0, 4, -500, -4 in descending order. 114, 4, 0, -1, -3, -4, -500 Sort -5, 166, 145, -59, 3. -59, -5, 3, 145, 166 Put 2/11, -8, -7.7676 in decreasing order. 2/11, -7.7676, -8 Sort 146, -11, 823 in decreasing order. 823, 146, -11 Sort -757100, 5, -71 in decreasing order. 5, -71, -757100 Sort 1.17, -1.9, 0, 22, -7, -0.4 in increasing order. -7, -1.9, -0.4, 0, 1.17, 22 Put -7, -84, -1.6, 4 in increasing order. -84, -7, -1.6, 4 Put 0.1, -3555.46, 1/3, -4/9, 5 in ascending order. -3555.46, -4/9, 0.1, 1/3, 5 Sort -159699, 5, 9 in ascending order. -159699, 5, 9 Put -49, -29, -2, -5, 15, 2 in decreasing order. 15, 2, -2, -5, -29, -49 Sort 1/2, 2/13, 1, -0.0512962 in decreasing order. 1, 1/2, 2/13, -0.0512962 Put -2/3017, -2/5, 0.1, 935 in descending order. 935, 0.1, -2/3017, -2/5 Sort 15, -3/47, 4/93. -3/47, 4/93, 15 Put -2/3, -1/4, -4/61, 0, -0.05 in ascending order. -2/3, -1/4, -4/61, -0.05, 0 Put 3/5, 10, -11/2, 5/2, -6, -292 in ascending order. -292, -6, -11/2, 3/5, 5/2, 10 Put 4, -4, -3, 175579, -53 in increasing order. -53, -4, -3, 4, 175579 Sort -5, -2, -7, 62, -168, -32 in descending order. 62, -2, -5, -7, -32, -168 Sort -1, -4, -19, 1, -439 in decreasing order. 1, -1, -4, -19, -439 Sort 20.2, 9, 193, 3, -1 in increasing order. -1, 3, 9, 20.2, 193 Sort -5, -2, -4, 2, -24, 4, -5915 in descending order. 4, 2, -2, -4, -5, -24, -5915 Sort 44, 2.3579, -5 in decreasing order. 44, 2.3579, -5 Put 6362, 0, 3/611 in descending order. 6362, 3/611, 0 Sort -34/793, -0.1, 2/19, 9, 1/2 in decreasing order. 9, 1/2, 2/19, -34/793, -0.1 Sort -2, 4, -1420, -4556. -4556, -1420, -2, 4 Sort -0.4, 3040, 20310. -0.4, 3040, 20310 Sort -8, 1, -9, 2, -55236 in increasing order. -55236, -9, -8, 1, 2 Sort 1, -239328, -5, 2, 5, -15 in decreasing order. 5, 2, 1, -5, -15, -239328 Sort -4, 0.018343, -44, -3/5, 0.4 in decreasing order. 0.4, 0.018343, -3/5, -4, -44 Sort -7, -17, -2, -33, -138, -5 in descending order. -2, -5, -7, -17, -33, -138 Sort 23, 15737, 0, -7, 4. -7, 0, 4, 23, 15737 Sort 9, -15, -134, 7, -83 in ascending order. -134, -83, -15, 7, 9 Put 5, -5716, 2/5, 0.15, -6, 0.1 in decreasing order. 5, 2/5, 0.15, 0.1, -6, -5716 Put 0, -2, -1, -5, -27, 2, -7813 in descending order. 2, 0, -1, -2, -5, -27, -7813 Sort 19, 2, 33, 0, 3319, 1. 0, 1, 2, 19, 33, 3319 Put 29, -32, 175 in decreasing order. 175, 29, -32 Put 167, -4, -2/98279 in decreasing order. 167, -2/98279, -4 Put -1, -5, 13, 1, -6, -139, -56 in increasing order. -139, -56, -6, -5, -1, 1, 13 Sort 3, -7921, -3, -1 in increasing order. -7921, -3, -1, 3 Put 2/9, 668, 0.223, -1/2, 26 in decreasing order. 668, 26, 0.223, 2/9, -1/2 Sort 4, -154, 598745. -154, 4, 598745 Sort 19822, -470, -1/7, -2/17. -470, -1/7, -2/17, 19822 Put 13, -370135, -5, 0 in decreasing order. 13, 0, -5, -370135 Put -1/6, 12.203, 0.088 in descending order. 12.203, 0.088, -1/6 Sort -3, 2686859, -43, -1 in decreasing order. 2686859, -1, -3, -43 Sort 2, -1/25, -0.5, 5, 14, 0.34. -0.5, -1/25, 0.34, 2, 5, 14 Sort -2, 48895, 5, 21 in ascending order. -2, 5, 21, 48895 Sort -2, 0, 0.2, -5, -3, 5201/8 in descending order. 5201/8, 0.2, 0, -2, -3, -5 Sort 1, -3, 5, 30, 27, 96, 4. -3, 1, 4, 5, 27, 30, 96 Put -2165, 36/101, 0.5 in increasing order. -2165, 36/101, 0.5 Put -2, -40, 7, 3592, 17, 1 in ascending order. -40, -2, 1, 7, 17, 3592 Put -196, 3, 5, -9, -357 in ascending order. -357, -196, -9, 3, 5 Sort -37, -209880, 1/3 in ascending order. -209880, -37, 1/3 Sort 0.2, -85.4, 2/9, -0.5, 2.9, -7 in decreasing order. 2.9, 2/9, 0.2, -0.5, -7, -85.4 Put 0, -1, 68, -2, 6, 195 in decreasing order. 195, 68, 6, 0, -1, -2 Sort 0.6, 3/28, 0.0125, -0.4, 7.4 in increasing order. -0.4, 0.0125, 3/28, 0.6, 7.4 Sort -3, -4, -68212 in ascending order. -68212, -4, -3 Sort -4488, -1, -4, -5, -17 in descending order. -1, -4, -5, -17, -4488 Sort 14, -2, 18, -1, -70, -18, 3. -70, -18, -2, -1, 3, 14, 18 Put 3, -138, 1, -5, -2, -6, -1903 in increasing order. -1903,
{ "pile_set_name": "DM Mathematics" }
ect the terms in -47*l**2 - 66*l**2 + 129*l**2. 16*l**2 Collect the terms in -j - j - 4*j + 11*j. 5*j Collect the terms in -3*y**3 + 0*y**3 + 2*y**3 - 2*y**3. -3*y**3 Collect the terms in -66*u**2 + 7 - 1 - 6. -66*u**2 Collect the terms in -12*w - 15*w - 23*w + 69*w - 17*w. 2*w Collect the terms in -7 - 9 + 3*w + 13 + 1. 3*w - 2 Collect the terms in -10*c**3 + 6*c**3 - 11*c**3 + 36*c**3. 21*c**3 Collect the terms in -33*o**2 - 33*o**2 + 9*o**2. -57*o**2 Collect the terms in 25*j + 26*j - 6*j - 12*j. 33*j Collect the terms in 16*z - 16*z + 24*z. 24*z Collect the terms in -4*o**2 + 51*o + o**3 + 0*o**3 + 4*o**2. o**3 + 51*o Collect the terms in -37*o + 10 - 16 + 5 - 71*o. -108*o - 1 Collect the terms in -19*d + 463*d**2 - 462*d**2 + 19*d. d**2 Collect the terms in 2*o + o - 3*o + 5*o. 5*o Collect the terms in -12*o + 95*o - 12*o. 71*o Collect the terms in -11*w**2 + 15*w**2 - 5*w**2. -w**2 Collect the terms in 516*d - 5*d**2 - 516*d. -5*d**2 Collect the terms in -2*y**2 + 7927*y - 7927*y. -2*y**2 Collect the terms in 4*h + 4*h + 8*h - 7*h. 9*h Collect the terms in 3*g**2 + 6*g**2 + 9*g**2 - 15*g**2. 3*g**2 Collect the terms in 12*u + 27*u - 21*u + 24*u. 42*u Collect the terms in 94*i**2 - 3*i**3 - 94*i**2 - 296 + 296. -3*i**3 Collect the terms in -370*r**2 - 51*r**2 - 541*r**2. -962*r**2 Collect the terms in 2*q**2 - 3*q**2 - 4*q**2 + 4*q**2. -q**2 Collect the terms in 8*o**3 - o**3 - 6*o**3 + 2*o**3. 3*o**3 Collect the terms in 0*y**3 + 3*y**3 + 2*y**3 + 0*y**3. 5*y**3 Collect the terms in 35*r**2 + 61*r**2 + 16*r**2. 112*r**2 Collect the terms in 6*b + 3*b + 4*b. 13*b Collect the terms in 41*s**2 - 5*s**3 - 2*s**3 + 6*s**3 - 41*s**2. -s**3 Collect the terms in -10*g**3 - 7*g**3 - 1 + 1. -17*g**3 Collect the terms in 10*c - 35*c + 3*c + 17*c. -5*c Collect the terms in 14*f**3 + 13*f**3 + 4*f**3 + 7*f**3. 38*f**3 Collect the terms in -3*r**2 + 1055*r - 1055*r. -3*r**2 Collect the terms in 18 - 13*f**2 - 18. -13*f**2 Collect the terms in 2*s**2 + 5*s - 7*s**3 + 5*s**3 - 5*s. -2*s**3 + 2*s**2 Collect the terms in -47*v + 27*v + 28*v. 8*v Collect the terms in -23*x**3 - 1 + 7*x**3 - 1 + 2. -16*x**3 Collect the terms in -40*v**3 + 9*v - 9*v. -40*v**3 Collect the terms in -1 - 765*s**2 + 1. -765*s**2 Collect the terms in 41*m + 74 + 72 - 146. 41*m Collect the terms in -l - 8*l**2 + 133*l**3 - l + 8*l**2. 133*l**3 - 2*l Collect the terms in -63*u**3 - 71*u**3 - 69*u**3 + 206*u**3. 3*u**3 Collect the terms in 11*k**2 - 21*k**2 - 2*k**2. -12*k**2 Collect the terms in 75*k**3 - 169*k**3 + 95*k**3. k**3 Collect the terms in -6*v**3 + 2*v**3 + 8*v**3. 4*v**3 Collect the terms in 2*u - 8*u - 3*u + 0*u. -9*u Collect the terms in 28*x**3 + 13*x**3 + 2*x - 11*x**3. 30*x**3 + 2*x Collect the terms in -8*y**2 - 3*y - 59 + 3*y + 58. -8*y**2 - 1 Collect the terms in -230*t**2 - 203*t**2 + 459*t**2. 26*t**2 Collect the terms in -10*h**3 + 34*h**3 + 2*h**3. 26*h**3 Collect the terms in -6*o**2 + 2*o**2 + 4*o**2 + 4*o**3. 4*o**3 Collect the terms in -s**2 + 3*s**2 + 9*s**2 + s**2 - 6*s**2. 6*s**2 Collect the terms in 0*j + 0*j + 165*j**2 - 163*j**2. 2*j**2 Collect the terms in 1101*x - 1101*x - 6*x**2. -6*x**2 Collect the terms in 16 + 3*o**2 - 15 - 7*o**2 + 2*o**2. -2*o**2 + 1 Collect the terms in -170*w**2 - 3 + 3 - 1763*w**2. -1933*w**2 Collect the terms in 49*d - 31*d + 45*d. 63*d Collect the terms in 8 + 4 + 6*o**2 + 3. 6*o**2 + 15 Collect the terms in 1755*n - n**2 + 1750*n - 3505*n. -n**2 Collect the terms in 0*z**3 - 5*z**3 + 29*z - 19*z - 17*z. -5*z**3 - 7*z Collect the terms in 1850*a + 2 - 18*a + 8527*a. 10359*a + 2 Collect the terms in -2 + 4 + 1 + 0 - 898*m. -898*m + 3 Collect the terms in 8*d - d - 218 + 218 + 0*d. 7*d Collect the terms in 277*j**2 - 277*j**2 - 18*j**3. -18*j**3 Collect the terms in -3*m + 12*m - 2 - 2*m. 7*m - 2 Collect the terms in -5*r**2 + 16*r**2 - 9*r**2. 2*r**2 Collect the terms in -3*l**2 + 19*l**2 + 2*l**2. 18*l**2 Collect the terms in -9*m**3 + 2*m**3 + 4*m**3. -3*m**3 Collect the terms in 2 - 2 + 19*l - 20*l. -l Collect the terms in -5*g**2 - 43*g**3 + 26*g**3 + 5*g**2. -17*g**3 Collect the terms in -4 + 99*r + 8 - 4. 99*r Collect the terms in -14*n**2 + n**2 + 9*n**2. -4*n**2 Collect the terms in -184*u**3 + 419*u**3 - 238*u**3. -3*u**3 Collect the terms in -12*l**3 + 4*l**3 - 2 + 2. -8*l**3 Collect the terms in -50*v**2 - 23*v**2 + 83*v**2. 10*v**2 Collect the terms in 9*i - 4*i - 3*i - 5*i. -3*i Collect the terms in 18 - 18 - 5*v. -5*v Collect the terms in -2*u**3 + 0*u**3 + 3*u**3. u**3 Collect the terms in 10*r**2 + 3*r**2 + 4*r**2 + 0*r**2. 17*r**2 Collect the terms in -6*t - 4*t - 4*t + 12*t. -2*t Collect the terms in 2*t**2 + 3*t - 4*t - 35*t**2 - 5*t**2. -38*t**2 - t Collect the terms in -595 - 2*w + 595. -2*w Collect the terms in -40*x + 780 - 780. -40*x Collect the terms in -170420 + 170420 - 6*f**2 + 8*f**2. 2*f**2 Collect the terms in -131 + 70 + 61 - 3*r. -3*r Collect the terms in 14*b**3 - 2*b + 3*b + 0*b. 14*b**3 + b Collect the terms in 2*r - 2*r + 11*r**2 - 2*r**2. 9*r**2 Collect the terms in 50*s - s**2 - 99*s + 49*s. -s**2 Collect the terms in w**2 + 44 - 44. w**2 Collect the terms in 14 + 5*r**2 - 14. 5*r**2 Collect the terms in 7*g**3 + 7*g**3 + 7*g**3 - 20*g**3. g**3 Collect the terms in -21 + 21 - 8*x**3. -8*x**3 Collect the terms in 27119*t - t**2 - 27119*t. -t**2 Collect the terms in 6*b**3 - 15568 + 15568. 6*b**3 Collect the terms in -14*z**2 - 68*z - 61*z + 2*z**2 + 129*z. -12*z**2 Collect the terms in q**2 - 8*q + 3 + 8*q - 6. q**2 - 3 Collect the terms in -4 - 8*x**2 + 3*x**2 + 4. -5*x**2 Collect the terms in -3 - 4 - 1 + 3 + 56*i**2. 56*i**2 - 5 Collect the terms in -62*n + 2 - 4 + 66*n. 4*n - 2 Collect the terms in -3 - 8 + 9 - 7*g**3. -7*g**3 - 2 Collect the terms in -5*a**3 + 10 + 6*a**3 + 1 - 11. a**3 Collect the terms in 40*i**3 + 1 + 0 + 189*i**3. 229*i**3 + 1 Collect the terms in -6*t**2 + 2*t**2 - 3*t**2 + 3*t**2. -4*t**2 Collect the terms in 2*h - 5*h + 3*h - 177*h**2 + 167*h**2. -10*h**2 Collect the terms in 1556*t**2 - 781*t**2 - 778*t**2. -3*t**2 Collect the terms in -42*s + 82*s - 14*s**3 - 40*s. -14*s**3 Collect the terms in -2*o**3 + 5*o**3 - 2*o**3 + 4*o**3. 5*o**3 Collect the terms in -139 + 61 + 13*m + 78. 13*m Collect the terms in -41 + s + 40*s**2 + 18 + 23. 40*s**2 + s Collect the terms in 1574*a - 1574*a + 5*a**2. 5*a**2 Collect the terms in -2*f**2 - 3874270*f + 3874270*f. -2*f**2 Collect the terms in -18*p - 4*p + 7*p. -15*p Collect the terms in -67*n - 30*n + 27*n. -70*n Collect the terms in -59*k**2 + 4*k**2 - 8*k**2. -63*k**2 Collect the terms in 62*z**2 + 23*z**2 - 26*z**2. 59*z**2 Collect the terms in -8*r**2 + 26*r - 6*r - 10*r - 7*r. -8*r**2 + 3*r Collect the terms in -14*b - 88 + 2*b + 8*b + 3*b. -b - 88 Collect the terms in 0*w**3 - 2*w**3 + 0*w**3 + 0*w**3. -2*w**3 Collect the terms in -24*w + 11*w + 4*w + 11*w. 2*w Collect the terms in -p**3 + 108*p**2 - 214*p**2 + 106*p**2. -p**3 Collect the terms in -441 + 441 - w**2. -w**2 Collect the terms in -3728 - 9*c**3 + 3728. -9*c**3 Collect the terms in -17 + 37 + 11*c**3 - 20. 11*c**3 Collect the terms in 26*p**3 - 26*p**3 + 17*p**3. 17*p**3 Collect the terms in -136*n - 128*n - 4*n + 13*n. -255*n Collect the terms in 1 + 210*q - 764*q - 1. -554*q Collect the terms in -55*u**2 + 4*u**3 + 55*u**2 - 10*u**3. -6*u**3 Collect the terms in 2 - 11 - 2*o - 5*o. -7*o - 9 Collect the terms in -274*w + 274*w + 48*w**2. 48*w**2 Collect the terms in 10*y - 10*y + 3*y**3 - 12*y**3 + 2*y**3. -7*y**3 Collect the terms in 0 + 172*i**2 - 330*i**2 + 162*i**2 + 0. 4*i**2 Collect the terms in -8*c + 10*c + 2*c. 4*c Collect the terms in 538*t**3 + 785*t**3 - 237*t**3. 1086*t**3 Collect the terms in 2*d + 3*d**2 + 2*d + 2*d. 3*d**2 + 6*d Collect the terms in -149*x - 152*x + 296*x. -5*x Collect the terms in 16*r**2 + 28*r**2 + 121*r**2. 165*r**2 Collect the terms in 39*w + 49*w + 24*w + 5*w. 117*w Collect the terms in -35 - 16*j + 14*j + 35. -2*j Collect the terms in -62*v**3 - 60*v**3 + 171*v**3 - 84*v**3. -35*v**3 Collect the terms in -1 + 811*d + 305*d + 1. 1116*d Collect the terms in 18*w - 8*w**3 - 18*w. -8*w**3 Collect the terms in -z + 2*z + 7 - 3*z + z. -z + 7 Collect the terms in -k**2 + k**2 - 1181*k**3. -1181*k**3 Collect
{ "pile_set_name": "DM Mathematics" }
56)/(-6))/(8/(-60)). Suppose 0 = -5*m - 4*x + 766 + 1115, 3*m = -2*x + 1129. Let y = r + m. Is y a composite number? False Suppose 0 = m + 3*m - 12, -5*j + 3301 = -3*m. Is j a composite number? True Suppose 0 = 4*a - 137 - 39. Let p = a + -7. Is p composite? False Suppose -j = -4*j. Suppose 2*b + 2 + j = 0. Is -2 + 54 - (b - 0) a prime number? True Let z be (-7)/(((-8)/(-22))/(-4)). Suppose 3*n = z + 118. Suppose -s - 3*a = -20, s - 3*s = a - n. Is s a prime number? False Is (-48)/40*55/(-2) a composite number? True Let y = 381 + 2. Is (-8)/(-44) + y/11 prime? False Suppose -111 - 1 = -5*n + m, -6 = 3*m. Is n composite? True Let c = 149 - -186. Is c composite? True Let o = 6 + -3. Suppose o*v - y = 16, -v = -2*v + y + 4. Is v prime? False Let j be (-2 + (-340)/(-6))*3. Let a = j - -27. Is a a composite number? False Suppose -4*q = 2*q + 48. Let m(v) = 7*v + 15. Let y(s) = -4*s - 8. Let b(x) = -3*m(x) - 5*y(x). Is b(q) prime? True Suppose 2*g + 121 = 375. Is g prime? True Let r = -110 + 61. Let a = 104 + r. Is a prime? False Let n(o) = -1. Let m(q) = -q - 10. Let s(v) = -m(v) + 3*n(v). Let h be s(-7). Suppose p + p - 6 = h. Is p a prime number? True Let f(d) = 2*d**2 - 4*d + 11. Is f(6) composite? False Suppose 2670 = 3*k + 3*u, 985 = -4*k + 5*u + 4527. Suppose -2*y = -2*t - k, -5*y + 0*t = -t - 2232. Is y a prime number? False Let k(u) = -148*u - 9. Is k(-6) a composite number? True Let k = 629 - 183. Is k a prime number? False Let j(o) = o**2 + 4*o - 3. Let s be j(-5). Let c be s - ((-2 - 5) + 3). Is 53 + 3/c*0 a composite number? False Let o(d) = d**2 + d + 2. Suppose 3*j + 2*l - 10 = -4, 3*l - 9 = 0. Let g be o(j). Suppose -g*x + 215 = 3*x. Is x a prime number? True Let u(n) = 26*n + 1. Let t(o) = -o**3 - 7*o**2 - 7*o - 3. Let c be t(-6). Is u(c) a prime number? True Suppose 2*c - 7*j = -2*j + 23, 8 = -c - 4*j. Suppose c*x + 1812 = 8*x. Suppose 0 = 3*l + 4*y + 54 - x, 3*l - y - 399 = 0. Is l composite? True Suppose y - 12 = -3*y. Suppose w - 7 + y = 0. Suppose -w*g + k + 75 = g, 0 = -4*g - k + 60. Is g composite? True Let i(p) = p**3 - p - 2*p**2 + 2*p + 2*p**2 + 37 - p**2. Is i(0) composite? False Suppose 49 + 103 = 4*r. Suppose 4*p = 5*p - r. Is p a composite number? True Let n(s) = -2*s - 8. Let c be n(11). Let z = 35 - c. Is z prime? False Let c(b) = 81*b**2 - 2*b - 11. Is c(-4) a composite number? True Let p = 24 - 18. Is p a prime number? False Let h = 2702 + -1791. Is h composite? False Let a = -54 - -114. Let o = a + 73. Is o a prime number? False Let j(w) = w**3 - 18*w**2 + 3. Let x be j(18). Suppose 5*l = 5, -751 = -3*g - l - x*l. Is g a prime number? False Suppose 23 = -w - 4*n + 88, 3*w - 169 = n. Is w composite? True Suppose -2*p = 2*p + 2*c - 32, p = -3*c + 18. Is 8/p*(-372)/(-8) prime? False Let n(a) = -7*a + 9. Let f(o) = 19*o - 26. Let v(m) = -m. Let t(y) = f(y) - 2*v(y). Let b(r) = 17*n(r) + 6*t(r). Is b(6) a composite number? True Suppose -5*h + 4*h - 1 = 0. Let m be 7*1 + 0 + h. Let b(r) = -r**3 + 6*r**2 + r + 1. Is b(m) a composite number? False Let z(o) = 2*o**3 + o**2. Let s be z(1). Suppose s*n - 13 = 8. Let y(m) = m**2 - 3*m - 9. Is y(n) composite? False Let w = -19 - -9. Let m = w + 2. Is (-435)/(-20) + (-2)/m a composite number? True Let s(n) = 2*n**2 + 8*n - 3. Let r(u) = -2*u**3 + 3*u**2 - 3*u + 3. Let w be r(2). Is s(w) a composite number? True Let g(v) = 4*v**2 - 2*v - 3. Let x be g(-2). Let o = x + 4. Is o a prime number? False Is (1402/(-10))/((-7)/35) composite? False Suppose 3*k - 2*r - 6 = 0, -4*k = -3*k - 5*r - 15. Suppose k*g + 275 = 5*g. Is g a prime number? False Suppose -5*h = 3*c - 21060, 0 = 3*c - 3*h - 18697 - 2363. Is 2/7 + c/28 a composite number? False Let k be (-1)/(-2)*67*-4. Is (-1 - (-2)/4)*k composite? False Let o(c) = c**2 + 3. Let i be o(0). Let h(v) = 0 + v**2 + 3 + v - 4 + 12*v**i. Is h(1) a composite number? False Suppose 0 = 13*w - 8*w - 20810. Is w composite? True Let v(j) be the second derivative of j**6/360 + 7*j**4/12 - j**3/3 - 3*j. Let b(l) be the second derivative of v(l). Is b(0) a prime number? False Suppose 0*g + 3*g = 9. Suppose g*c = 2*c + 67. Is c prime? True Is (6 - 7) + (468 - -2) a composite number? True Let o(k) = -64*k**3 + 2*k**2 + k. Is o(-1) prime? False Let n(s) = -s - 4. Let w be n(-6). Suppose -w*i = -12 - 10. Suppose -k - i = -2*k. Is k prime? True Suppose -2*m + 4*m - 94 = 0. Is m a composite number? False Suppose -12*f + 21847 + 87101 = 0. Is f a prime number? False Is (46*2)/(-8 - -10) a composite number? True Is ((-1835)/15)/((-2)/42) a composite number? True Let p(t) = t**3 + 6*t**2 - 2. Let s be p(-6). Let a be ((-24)/(-3))/s - -3. Is 1/2*a*-194 a prime number? True Let w = 6 + -12. Let b(m) = m - m**3 - 2*m**2 - 7 - 8*m - 2*m. Is b(w) a prime number? True Let c(n) = n**3 - 2*n**2 + n. Let r be c(2). Let u be 2/(r + 6/(-4)). Is 276/8 - (-2)/u a composite number? True Let c(h) = -13*h + 44. Is c(-21) prime? True Suppose -3*j = 918 - 2985. Is j prime? False Let j be 4/2 - (1 + 0). Let h(y) be the third derivative of 91*y**4/24 - 3*y**2. Is h(j) a prime number? False Let h(y) = 38*y**2 - 3*y - 7. Is h(6) a composite number? True Let z be (-3)/9 + (-7)/(-3). Suppose -b = -2*b - z. Is 708/8 + b/(-4) composite? False Let w(o) = 191*o**3 + o**2 + 2*o - 3. Is w(1) prime? True Let r be 1/((5/(-2))/(-5)). Suppose 3*q - 62 = r*q. Is q a prime number? False Let b be 4/16 - 30/(-8). Suppose 2*g - 2*c = 48, -20 = b*g - 5*c - 120. Is ((-5)/10)/((-1)/g) composite? True Suppose 4*n + 256 + 203 = b, 0 = 2*b - 3*n - 898. Is b prime? True Suppose 0 = -15*y + 10*y + 1475. Is y a prime number? False Suppose d - 2*s - 3*s = 26, 0 = d - s - 10. Suppose -3*l = -d*l + 9. Suppose -l*u + 57 = -0*u. Is u a composite number? False Let b(d) = -18*d - 1. Let w = 5 - 8. Is b(w) prime? True Suppose 5*o - 30 = 4*p, -5*p + 0*p - 25 = 0. Let g(x) be the third derivative of 3*x**5/10 + x**4/12 + x**3/6 - 2*x**2. Is g(o) composite? True Suppose -v + 8*w - 3*w = -714, 0 = -2*v - 2*w + 1440. Is v a prime number? True Let z be (55/10)/((-1)/(-6)). Let k = 64 - z. Is k composite? False Suppose t - 18 = 5*z, -8*z + 3*z - 2*t - 24 = 0. Let n be z/(-2*(-3)/615). Let s = -249 - n. Is s a prime number? False Let o(x) = 44*x**3 - 2 + 3 - x**2 + 2*x - 3 - 7*x**3. Let c be o(2). Suppose -150 - c = -4*r. Is r prime? False Let z be (3/5)/((-1)/(-85)). Let v(j) = 4*j + 4. Let t be v(-9). Let u = t + z. Is u composite? False Suppose 0 = 3*a + 2*y + 90, y + 3*y - 172 = 5*a. Is a/(-2 + 1) + -1 a composite number? False Suppose -z + 3*z = 3*m - 79, -2*z - 103 = 5*m. Let i = z - -81. Is i prime? True Let s = 482 - -1839. Is s a composite number? True Let s be (0*1/(-3))/(-2). Suppose -101 = -5*b - s*b - o, 2*o = -4*b + 82. Let g = -14 + b. Is g a prime number? False Suppose -16023 = -5*j + 3*h, j = 2*h + 3*h + 3187. Is j prime? False Let t be 3*((-48)/(-9) - 2). Let v(q) = 0*q + 3 + 3*q + 0*q + t*q**2. Is v(-2) a composite number? False Let n = -4 - -7. Suppose -n*p - 427 = -2*x - 8*p, p = 5. Is x a composite number? True Suppose 12*d - 13*d = -23. Is d composite? False Let l(x) = 6*x**2 - 12*x + 1. Is l(6) a composite number? True Let u(b) = b**3 + 4*b**2 - 5*b + 1. Let p be u(-4). Let n be 32/14 + (-6)/p. Suppose -n*r + 4*l + 113 = 23, 4*r - 2*l - 204 = 0. Is r a prime number? True Let p = 37 - 16. Is p a composite number? True Suppose 0 = o + 1 - 6. Suppose 0 = -o*v + 2*p + 188 + 299, -3*v = -4*p - 295. Is v composite? False Let j = 49 + -27. Is j a composite number? True Let b = 4 - 7. Suppose 114 = 5*d + 359. Is (-2)/(-4)*(b - d) a composite number? False Suppose -2*q - 3*v = -762, -4*v - v = 3*q - 1143. Is (0 - -3)*q/9 composite? False Let n(r) = 7*r**2 - 3. Let x be n(-7). Suppose -2*q + x = 2*q. Is q a composite number? True Let p = 159 - 66. Let k = 242 + p. Is k a composite number? True Suppose -5*r + 5 - 15 = 0. Let m(i) = -15*i**3 + 3*i**2 + 2*i + 3. Is m(r) a prime number? True Suppose -c - 66 = -3*c. Is c a composite number? True Let n = -25 + 40. Let f be (-1)/5 - (-243)/n. Suppose 2*c = -o + f, -5*o + c = -3*c - 66. Is o a prime number? False Let p(x) = 93*x**2 - 8*x. Let b(g) = 62*g**2 - 5*g. Let f(d) = 8*b(d) - 5*p(d). Is f(-1) a prime number? True Suppose -5*p + 3389 - 1324 = 0. Is p com
{ "pile_set_name": "DM Mathematics" }
it of 1520? 0 What is the tens digit of 168? 6 What is the tens digit of 56? 5 What is the tens digit of 21666? 6 What is the hundreds digit of 20416? 4 What is the units digit of 46058? 8 What is the units digit of 246? 6 What is the ten thousands digit of 21907? 2 What is the tens digit of 619? 1 What is the tens digit of 1835? 3 What is the tens digit of 18665? 6 What is the units digit of 33998? 8 What is the units digit of 1759? 9 What is the thousands digit of 116927? 6 What is the ten thousands digit of 35501? 3 What is the units digit of 50464? 4 What is the units digit of 987? 7 What is the units digit of 622? 2 What is the units digit of 1179? 9 What is the hundreds digit of 2927? 9 What is the units digit of 7790? 0 What is the units digit of 143971? 1 What is the ten thousands digit of 54437? 5 What is the units digit of 1926? 6 What is the thousands digit of 13364? 3 What is the hundreds digit of 8314? 3 What is the units digit of 4030? 0 What is the units digit of 38628? 8 What is the thousands digit of 1704? 1 What is the thousands digit of 13351? 3 What is the thousands digit of 3612? 3 What is the thousands digit of 9705? 9 What is the hundreds digit of 13855? 8 What is the thousands digit of 138128? 8 What is the hundreds digit of 583? 5 What is the tens digit of 3295? 9 What is the thousands digit of 9215? 9 What is the thousands digit of 7560? 7 What is the thousands digit of 2604? 2 What is the units digit of 852? 2 What is the units digit of 784? 4 What is the thousands digit of 16019? 6 What is the tens digit of 4601? 0 What is the ten thousands digit of 47254? 4 What is the units digit of 171? 1 What is the units digit of 5007? 7 What is the tens digit of 1721? 2 What is the units digit of 22625? 5 What is the hundreds digit of 9049? 0 What is the units digit of 3316? 6 What is the hundreds digit of 553? 5 What is the tens digit of 3073? 7 What is the ten thousands digit of 21014? 2 What is the tens digit of 1767? 6 What is the thousands digit of 1105? 1 What is the tens digit of 80796? 9 What is the tens digit of 40129? 2 What is the hundreds digit of 427? 4 What is the hundreds digit of 331? 3 What is the thousands digit of 25197? 5 What is the units digit of 1293? 3 What is the tens digit of 5654? 5 What is the tens digit of 329? 2 What is the hundreds digit of 2096? 0 What is the tens digit of 81992? 9 What is the ten thousands digit of 28606? 2 What is the tens digit of 4694? 9 What is the thousands digit of 9348? 9 What is the tens digit of 705? 0 What is the units digit of 4805? 5 What is the hundreds digit of 2336? 3 What is the units digit of 5047? 7 What is the thousands digit of 58509? 8 What is the hundreds digit of 87752? 7 What is the hundreds digit of 558? 5 What is the tens digit of 85? 8 What is the tens digit of 28391? 9 What is the hundreds digit of 10216? 2 What is the units digit of 3308? 8 What is the ten thousands digit of 16193? 1 What is the units digit of 703? 3 What is the hundreds digit of 3081? 0 What is the tens digit of 2494? 9 What is the units digit of 28087? 7 What is the units digit of 26364? 4 What is the units digit of 3087? 7 What is the hundreds digit of 9335? 3 What is the units digit of 77153? 3 What is the units digit of 7495? 5 What is the tens digit of 86664? 6 What is the hundreds digit of 2988? 9 What is the ten thousands digit of 20467? 2 What is the hundreds digit of 4847? 8 What is the thousands digit of 2018? 2 What is the tens digit of 9717? 1 What is the hundreds digit of 1117? 1 What is the tens digit of 1210? 1 What is the hundreds digit of 622? 6 What is the tens digit of 4065? 6 What is the units digit of 2962? 2 What is the tens digit of 2069? 6 What is the hundreds digit of 3668? 6 What is the tens digit of 2814? 1 What is the hundreds digit of 18481? 4 What is the hundreds digit of 16291? 2 What is the tens digit of 1313? 1 What is the ten thousands digit of 135923? 3 What is the tens digit of 569? 6 What is the ten thousands digit of 48617? 4 What is the thousands digit of 4701? 4 What is the hundreds digit of 15392? 3 What is the tens digit of 40463? 6 What is the units digit of 354? 4 What is the thousands digit of 1817? 1 What is the units digit of 484? 4 What is the thousands digit of 2112? 2 What is the units digit of 688? 8 What is the hundreds digit of 14572? 5 What is the tens digit of 559? 5 What is the thousands digit of 3210? 3 What is the units digit of 70359? 9 What is the units digit of 13220? 0 What is the thousands digit of 60250? 0 What is the thousands digit of 1201? 1 What is the hundreds digit of 3252? 2 What is the units digit of 177? 7 What is the tens digit of 2334? 3 What is the units digit of 122? 2 What is the hundreds digit of 210? 2 What is the tens digit of 5055? 5 What is the units digit of 62? 2 What is the hundreds digit of 1838? 8 What is the hundreds digit of 34697? 6 What is the hundreds digit of 21346? 3 What is the units digit of 325? 5 What is the units digit of 60? 0 What is the ten thousands digit of 12432? 1 What is the tens digit of 254? 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4 What is the thousands digit of 1640? 1 What is the tens digit of 76429? 2 What is the ten thousands digit of 91448? 9 What is the thousands digit of 6779? 6 What is the units digit of 7040? 0 What is the units digit of 27437? 7 What is the hundreds digit of 25325? 3 What is the tens digit of 16595? 9 What is the units digit of 897? 7 What is the hundreds digit of 1082? 0 What is the units digit of 2786? 6 What is the thousands digit of 1367? 1 What is the units digit of 48246? 6 What is the hundreds digit of 22185? 1 What is the tens digit of 646? 4 What is the hundreds digit of 807? 8 What is the tens digit of 53436? 3 What is the hundreds digit of 78679? 6 What is the hundreds digit of 7315? 3 What is the units digit of 997? 7 What is the hundreds digit of 155? 1 What is the thousands digit of 2824? 2 What is the units digit of 3171? 1 What is the hundreds digit of 1260? 2 What is the tens digit of 3897? 9 What is the thousands digit of 13097? 3 What is the units digit of 1430? 0 What is the hundreds digit of 91435? 4 What is the thousands digit of 37073? 7 What is the hundreds digit of 36023? 0 What is the tens digit of 11022? 2 What is the thousands digit of 17310? 7 What is the units digit of 6219? 9 What is the hundreds digit of 6991? 9 What is the units digit of 6410? 0 What is the tens digit of 1252? 5 What is the hundreds digit of 35505? 5 What is the units digit of 1051? 1 What is the hundreds digit of 1181? 1 What is the hundreds digit of 1627? 6 What is the hundreds digit of 774? 7 What is the units digit of 10726? 6 What is the units digit of 32947? 7 What is the hundreds digit of 1144? 1 What is the units digit of 15506? 6 What is the thousands digit of 17693? 7 What is the tens digit of 53? 5 What is the units digit of 8729? 9 What is the hundreds digit of 1328? 3 What is the hundreds digit of 28549? 5 What is the tens digit of 60022? 2 What is the tens digit of 56? 5 What is the units digit of 938? 8 What is the tens digit of 15323? 2 What is the tens digit of 37? 3 What is the tens digit of 7571? 7 What is the hundreds digit of 7567? 5 What is the units digit of 161
{ "pile_set_name": "DM Mathematics" }
6 What is 2515 to the power of 1/8, to the nearest integer? 3 What is 25757 to the power of 1/2, to the nearest integer? 160 What is 120673 to the power of 1/2, to the nearest integer? 347 What is 1420 to the power of 1/2, to the nearest integer? 38 What is the cube root of 10695 to the nearest integer? 22 What is the square root of 902 to the nearest integer? 30 What is the cube root of 4799 to the nearest integer? 17 What is the ninth root of 636 to the nearest integer? 2 What is 1233 to the power of 1/6, to the nearest integer? 3 What is 537 to the power of 1/8, to the nearest integer? 2 What is 64195 to the power of 1/3, to the nearest integer? 40 What is the third root of 12213 to the nearest integer? 23 What is 6028 to the power of 1/2, to the nearest integer? 78 What is 116235 to the power of 1/3, to the nearest integer? 49 What is 46852 to the power of 1/2, to the nearest integer? 216 What is the third root of 1796 to the nearest integer? 12 What is 2475 to the power of 1/3, to the nearest integer? 14 What is 709 to the power of 1/8, to the nearest integer? 2 What is the cube root of 6 to the nearest integer? 2 What is the cube root of 112488 to the nearest integer? 48 What is the seventh root of 1615 to the nearest integer? 3 What is the third root of 2022 to the nearest integer? 13 What is the square root of 1484 to the nearest integer? 39 What is the seventh root of 56950 to the nearest integer? 5 What is the cube root of 792 to the nearest integer? 9 What is 38670 to the power of 1/10, to the nearest integer? 3 What is the square root of 2058 to the nearest integer? 45 What is the square root of 458 to the nearest integer? 21 What is 8383 to the power of 1/6, to the nearest integer? 5 What is 67254 to the power of 1/2, to the nearest integer? 259 What is 70 to the power of 1/9, to the nearest integer? 2 What is 2150 to the power of 1/2, to the nearest integer? 46 What is 4103 to the power of 1/9, to the nearest integer? 3 What is 199 to the power of 1/2, to the nearest integer? 14 What is 2366 to the power of 1/5, to the nearest integer? 5 What is 73103 to the power of 1/4, to the nearest integer? 16 What is 8736 to the power of 1/2, to the nearest integer? 93 What is the third root of 1505 to the nearest integer? 11 What is the ninth root of 2221 to the nearest integer? 2 What is the third root of 603 to the nearest integer? 8 What is the eighth root of 60142 to the nearest integer? 4 What is 22080 to the power of 1/2, to the nearest integer? 149 What is the square root of 36137 to the nearest integer? 190 What is the tenth root of 78621 to the nearest integer? 3 What is 1185 to the power of 1/5, to the nearest integer? 4 What is the square root of 19901 to the nearest integer? 141 What is 770 to the power of 1/7, to the nearest integer? 3 What is 218 to the power of 1/5, to the nearest integer? 3 What is 58993 to the power of 1/9, to the nearest integer? 3 What is the third root of 2021 to the nearest integer? 13 What is 2752 to the power of 1/2, to the nearest integer? 52 What is the cube root of 7621 to the nearest integer? 20 What is the third root of 14345 to the nearest integer? 24 What is 84195 to the power of 1/3, to the nearest integer? 44 What is the third root of 416 to the nearest integer? 7 What is 195 to the power of 1/5, to the nearest integer? 3 What is the cube root of 8539 to the nearest integer? 20 What is 3586 to the power of 1/2, to the nearest integer? 60 What is the square root of 9083 to the nearest integer? 95 What is the cube root of 2369 to the nearest integer? 13 What is the fourth root of 3064 to the nearest integer? 7 What is 9871 to the power of 1/2, to the nearest integer? 99 What is 853 to the power of 1/2, to the nearest integer? 29 What is the square root of 84109 to the nearest integer? 290 What is the cube root of 4119 to the nearest integer? 16 What is 7418 to the power of 1/2, to the nearest integer? 86 What is 2592 to the power of 1/2, to the nearest integer? 51 What is the third root of 1175 to the nearest integer? 11 What is the fifth root of 49867 to the nearest integer? 9 What is 1186 to the power of 1/6, to the nearest integer? 3 What is 18883 to the power of 1/2, to the nearest integer? 137 What is the tenth root of 45712 to the nearest integer? 3 What is the square root of 4645 to the nearest integer? 68 What is the square root of 17865 to the nearest integer? 134 What is 68 to the power of 1/8, to the nearest integer? 2 What is the square root of 761 to the nearest integer? 28 What is 86953 to the power of 1/2, to the nearest integer? 295 What is the fourth root of 805 to the nearest integer? 5 What is 1208 to the power of 1/7, to the nearest integer? 3 What is 1056 to the power of 1/7, to the nearest integer? 3 What is the third root of 11223 to the nearest integer? 22 What is the cube root of 135287 to the nearest integer? 51 What is 53673 to the power of 1/3, to the nearest integer? 38 What is 5520 to the power of 1/2, to the nearest integer? 74 What is the square root of 13240 to the nearest integer? 115 What is 19362 to the power of 1/4, to the nearest integer? 12 What is 4412 to the power of 1/3, to the nearest integer? 16 What is the fourth root of 9479 to the nearest integer? 10 What is 1692 to the power of 1/3, to the nearest integer? 12 What is the eighth root of 2133 to the nearest integer? 3 What is the square root of 14081 to the nearest integer? 119 What is the cube root of 654 to the nearest integer? 9 What is the fifth root of 1857 to the nearest integer? 5 What is 78661 to the power of 1/2, to the nearest integer? 280 What is 1414 to the power of 1/9, to the nearest integer? 2 What is the square root of 95823 to the nearest integer? 310 What is 9696 to the power of 1/4, to the nearest integer? 10 What is 7777 to the power of 1/4, to the nearest integer? 9 What is 11802 to the power of 1/9, to the nearest integer? 3 What is the cube root of 2662 to the nearest integer? 14 What is 137374 to the power of 1/8, to the nearest integer? 4 What is the third root of 4609 to the nearest integer? 17 What is the cube root of 2711 to the nearest integer? 14 What is the ninth root of 43425 to the nearest integer? 3 What is the sixth root of 96 to the nearest integer? 2 What is 2679 to the power of 1/2, to the nearest integer? 52 What is 34611 to the power of 1/2, to the nearest integer? 186 What is 34020 to the power of 1/7, to the nearest integer? 4 What is the seventh root of 5562 to the nearest integer? 3 What is the cube root of 7025 to the nearest integer? 19 What is 97313 to the power of 1/2, to the nearest integer? 312 What is the cube root of 3966 to the nearest integer? 16 What is the square root of 16252 to the nearest integer? 127 What is 304 to the power of 1/3, to the nearest integer? 7 What is 94007 to the power of 1/8, to the nearest integer? 4 What is 2418 to the power of 1/7, to the nearest integer? 3 What is the square root of 6119 to the nearest integer? 78 What is the fifth root of 2782 to the nearest integer? 5 What is the cube root of 36428 to the nearest integer? 33 What is 53107 to the power of 1/2, to the nearest integer? 230 What is 154938 to the power of 1/2, to the nearest integer? 394 What is the cube root of 7201 to the nearest integer? 19 What is the fifth root of 104725 to the nearest integer? 10 What is 13459 to the power of 1/10, to the nearest integer? 3 What is the ninth root of 466 to the nearest integer? 2 What is the eighth root of 1173 to the nearest integer? 2 What is 9714 to the power of 1/9, to the nearest integer? 3 What is the third root of 54796 to the nearest integer? 38 What is 876 to the power of 1/2, to the nearest integer? 30 What is 510 to the power of 1/9, to the nearest integer? 2 What is 416 to the power of 1/2, to the nearest integer? 20 What is the square root of 15278 to the nearest integer? 124 What is 31478 to the power of 1/8, to the nearest integer? 4 What is the ninth root of 68653 to the nearest integer? 3 What is the cube root of 1734 to the nearest integer? 12 What is the fourth root of 735 to the nearest integer? 5 What is the fifth root of 14069 to the nearest integer? 7 What is 18960 to the power of 1/3, to
{ "pile_set_name": "DM Mathematics" }