uppose -z - 20 = -2*w + 53, 0 = -3*z - 2*w - 251. Let i = z - -92. Calculate the remainder when 27 is divided by i.
5
Let f(l) = 6*l**2 - 23*l - 398. What is the remainder when f(-13) is divided by 884?
31
Suppose 3*s = -0*s + 24. Let b(n) = 2*n**2 + 12*n + 52. Calculate the remainder when b(-4) is divided by s.
4
Let a(y) = -15*y**2 + 6*y + 8. Let m be a(-3). Let k = 11 + -3. What is the remainder when m/15*(-3 + 0) is divided by k?
5
Let u(g) = 11*g + 22. Let a be u(11). Suppose 0 = 4*y - a - 561. What is the remainder when y is divided by 60?
56
Suppose -5*r + 2*k = -117 - 147, -5*k + 198 = 4*r. Suppose 0 = -6*u + 17 + 7. What is the remainder when r is divided by 532/36 - u/(-18)?
7
Suppose 4*d - 22*d + 21261 = -2247. What is the remainder when 3923 is divided by d?
5
What is the remainder when (-132)/297 + 29515/9 is divided by 40?
39
Suppose 3*f = -21 + 57. Calculate the remainder when (2 - 1)*3*184/12 is divided by f.
10
Let g = 95 - 145. Let o = g - -6. Let j = -35 - o. What is the remainder when j is divided by 5?
4
Let b(j) = -2*j**2 - 298*j - 139. What is the remainder when b(-97) is divided by 25?
24
Let j = 53 + -17. Let v(m) = -m**3 + 31*m**2 + 472*m - 99. Calculate the remainder when v(-12) is divided by j.
33
Let w(h) = 2*h**2 + 64*h - 395. What is the remainder when w(-39) is divided by 46?
13
Let f = 21502 - 19686. What is the remainder when f is divided by 60?
16
Let g = -126 - -174. Calculate the remainder when (-2 + 3)*(-287)/(1 - 2) is divided by g.
47
Let y(s) = 8*s**2 + 19*s - 227. What is the remainder when 431 is divided by y(5)?
23
What is the remainder when 2882 - 1 - (9 + -19 + 6) is divided by 78?
77
Suppose 0 = -378*u + 372*u + 10272. What is the remainder when u is divided by 82?
72
Let z = -350 + 353. What is the remainder when (2 - -38)*(-4)/(-5) is divided by z?
2
Let q(s) be the third derivative of -s**5/60 + 5*s**4/8 - 13*s**3/3 - 18*s**2. What is the remainder when 143 is divided by q(11)?
17
Let d = 679 - -59. Suppose -9*t = -d - 459. What is the remainder when t is divided by 45?
43
Let a(k) = 65*k + 10. Let i be a(-1). Calculate the remainder when 12 is divided by 60/i*(-22)/4.
0
Suppose -8*x + 72 = -4*x. Let j = 4963 - 4784. What is the remainder when j is divided by x?
17
Suppose -5*i + 47*i = 1008. Suppose 216 = -18*t + i*t. Calculate the remainder when 114 is divided by t.
6
Suppose 10*b = 10*k + 13*b - 350, 5*b + 70 = 2*k. Calculate the remainder when 975 is divided by k.
30
Let r(h) be the second derivative of -h**5/10 - h**4/4 + h**3 - h**2/2 + 10*h - 2. What is the remainder when (1 + (-10)/4)*-14 is divided by r(-3)?
5
Let s = 221 - 245. Let v(f) = -f**2 - 27*f + 11. Calculate the remainder when v(s) is divided by (14/(-4))/((-1)/6).
20
Suppose -27 + 7 = -4*k. Suppose -2*o - k*o = -2*o. Suppose 6*h - 14*h + 616 = o. What is the remainder when h is divided by 20?
17
Let k(t) = 36*t**2 + 5148*t + 100. What is the remainder when 1284 is divided by k(-143)?
84
Suppose 0 = -4*r - c + 287, -78*r + 82*r = 5*c + 245. What is the remainder when 25757 is divided by r?
67
Let z = -136 - -10. What is the remainder when (-9)/(-36) - z/8 is divided by 12?
4
Let s(p) be the third derivative of -p**6/120 + p**5/30 + p**4/12 + p**3/6 + 3*p**2. Let t = -19205 + 19334. Calculate the remainder when t is divided by s(-2).
12
Suppose 3191 = -155*s + 12181. What is the remainder when 458 is divided by s?
52
Let i(u) = u**2 + 16*u - 469. Calculate the remainder when i(-33) is divided by 28.
8
Let f(b) = 25*b - 568. What is the remainder when 343 is divided by f(27)?
22
Suppose 4*x - s = 159 + 283, -4*s = -4*x + 448. What is the remainder when x is divided by 47?
16
Let b be ((-6)/5)/((-24)/1840). Let h = b - 43. Let n(z) = 3*z**2 - 19*z - 37. What is the remainder when h is divided by n(-2)?
10
Let r = 40 + -37. Let m be r - 2/(-4)*2. Suppose 4*w = 3*w - m*f + 35, -15 = -5*f. What is the remainder when 64 is divided by w?
18
Suppose -4*h + 71 = -3*b, 6*h = 7*h - 2*b - 19. Calculate the remainder when h*-6*(0 - (-5)/(-15)) is divided by 34.
0
Let n = 10747 + -10167. Calculate the remainder when n is divided by 184.
28
Suppose 262 = 2*s + 268, -k = 2*s - 677. What is the remainder when k is divided by 322?
39
Let v(s) = s**2 + 6*s + 15. What is the remainder when 197 is divided by v(-7)?
21
Calculate the remainder when 442 is divided by (-4)/(-6) + 1 + 3200/15.
12
Suppose 12*f = -24*f + 60660. What is the remainder when -2 + f/20 + 12/16 is divided by 13?
5
Let w = 133 + -259. Let f = w - -142. Calculate the remainder when 58 is divided by f.
10
Suppose -s = 4*t - 11, -t = 4*t + 4*s - 11. Suppose 11*x + 758 - 2227 = -2*x. Calculate the remainder when x is divided by t.
2
Suppose 4 = -12*p + 14*p. Suppose -p*i = -0*i - 4. Suppose -i*s - 28 = -4*y, 0*y + 3*s + 27 = 3*y. Calculate the remainder when 26 is divided by y.
1
Suppose 4*v - 4*g - 48 = 0, 6*g - g = 2*v - 18. Suppose n = -3*b + 56, 5*n - 6 - v = -2*b. Calculate the remainder when 97 is divided by b.
17
Let k = 203 - 201. Suppose -p + 107 = 3*p - x, -p + 29 = k*x. What is the remainder when (-1)/((-2)/216) + -1 is divided by p?
26
Let j be (20/(-12))/((-5)/18). Suppose -2 - j = -y. Suppose r - y*r = -56. Calculate the remainder when r is divided by 2.
0
Let p(r) = -r**3 - 2*r**2 + 4*r + 2. Let a be p(-3). Let s = 7745 - 7742. What is the remainder when s is divided by 2*1*a/(-2)?
0
Let a = 35 + -5. Calculate the remainder when 161 is divided by a.
11
Let u = 308 + -591. Let d = -225 - u. Calculate the remainder when 163 is divided by d.
47
Suppose -c = -3*r - 2070, 30 = -3*r + 21. What is the remainder when c is divided by 43?
40
Suppose 45*u - 66*u + 39 = -108. Calculate the remainder when 42 is divided by u.
0
What is the remainder when 925 is divided by 4 + 1 + 20 + -6?
13
Suppose 2*f - 2*x = 34, f + f + 5*x - 34 = 0. Let y = -7421 - -7504. What is the remainder when y is divided by f?
15
What is the remainder when 4*(-10)/(-560) - 1370/(-28) is divided by 18?
13
Let b = -2756 - -2781. Let u = -6 + 9. Calculate the remainder when b is divided by u.
1
Suppose -237*t = -228*t + i - 1145, -i + 641 = 5*t. What is the remainder when t is divided by (2 - 1)/(1/43)?
40
Let a = -5 - -14. Let r = 48 - 22. Calculate the remainder when r is divided by a.
8
Suppose 1618*s = 1621*s - 5*q - 561, -3*s + 633 = q. Let m = -40 + 67. What is the remainder when s is divided by (m - (-2 + 2)) + -1?
25
Calculate the remainder when 735 is divided by 4 - (26 - 17) - -11.
3
Suppose 2*l + 3*l = 5*r - 55, 17 = 3*r + 5*l. Let k = -89 - -148. Calculate the remainder when k is divided by r.
5
Let t(o) = -15*o**2 - 717*o - 208. Calculate the remainder when 1071 is divided by t(-47).
3
Let k(b) = -8*b**2 - 9*b - 17. Let i be k(-5). Let d = 211 + i. Suppose 3*x - 10 = -2*x, -z - x + 9 = 0. What is the remainder when d is divided by z?
4
Let b(y) = 3*y - y**2 + 13 + 3*y**2 + 4*y - y**2. Let g be b(-5). What is the remainder when ((-6)/g)/(2/(-15)) is divided by 6?
3
Let s be 66/15 + -4 - 836/(-10). Let t = 87 - s. Let h = 63 - t. What is the remainder when h is divided by 16?
12
Let s(z) = -6*z - 5. Let t be s(-3). Suppose t*m - 12*m = 9. Let r(n) = -n**3 + 10*n**2 - 10*n + 11. What is the remainder when 3 is divided by r(m)?
1
Let c(k) be the third derivative of 7*k**5/60 + k**3/6 - 2*k**2. What is the remainder when c(-1) is divided by 8/6 - (-125)/75?
2
Suppose 2112 = 17*j + 41*j - 37792. Calculate the remainder when 2076 is divided by j.
12
Let j be 8/14 + (-164)/(-7). Suppose j*u - 145 = 19*u. What is the remainder when u is divided by 5?
4
Let z(s) = 11*s + 58. Let r(x) = 12*x + 56. Let u(g) = -3*r(g) + 2*z(g). What is the remainder when u(-8) is divided by 15?
0
Suppose 3*q = t - 162, 3*q - 26 = 4*t - 683. Calculate the remainder when 346 is divided by t.
16
Suppose 3*t + 4*b - 721 = 0, 2*t - 5*b - 201 = 249. Suppose -140*d + 1772*d - 32429 - 96499 = 0. What is the remainder when t is divided by d?
77
Let a(j) = -2*j**3 - 17*j**2 - 3*j - 15. Let t be 18/30 - (-48)/(-5). Calculate the remainder when a(t) is divided by 19.
17
Let s = 19 - 4. Let g = s - 11. Let b = 1 - -11. Calculate the remainder when b is divided by g.
0
Let r = 2009 + -2008. Calculate the remainder when 242 is divid