*x. Let w(f) = -f**3 + 8*f**2 - 9*f + 7. Calculate the remainder when w(i) is divided by 8.
5
Let j(u) = -u. Let f(p) = 3*p + 4. Let h be f(-5). What is the remainder when 0 + 0 + (0 - -43) is divided by j(h)?
10
Suppose -2*j = -u + 15, 3*u = -j + 2*j. Let c = j + 15. Let f(b) = b**2 - 3*b - 4. What is the remainder when 69 is divided by f(c)?
13
Let j = 570 + -436. Calculate the remainder when j is divided by 15.
14
Suppose q - 2*f + 13 - 98 = 0, -f = -3. Calculate the remainder when 725 is divided by q.
88
Suppose 29 = 3*c + 11. Let k(p) = 5*p + 13. Let r = 20 + -9. What is the remainder when k(c) is divided by r?
10
Suppose 87*d + 90 = 88*d. Calculate the remainder when d is divided by 28.
6
Suppose -5*y - 14 = -9. Let s(i) = -i**2 - i + 1. Let v(n) = -6*n**2 - 8. Let z(t) = y*v(t) + s(t). Calculate the remainder when z(5) is divided by 33.
30
Suppose -18*z = -2*z - 112. What is the remainder when 22 is divided by z?
1
Let f = -497 - -547. What is the remainder when f is divided by 28?
22
Let v = 82 + -59. Suppose -5 = -2*f + 3. Suppose -h - 3*o = 0, -2*h - f*o = 1 - 7. What is the remainder when v is divided by h?
5
Let l be ((-4)/6)/(1/(-126)). Suppose l - 448 = -4*s. Suppose 14 = -2*x + 5*q, -152 = 54*x - 58*x - 5*q. Calculate the remainder when s is divided by x.
22
Let m = 8 + 8. Suppose 2*z - 88 = -3*z - 3*k, 4*k = -m. Let j = 612 - 533. What is the remainder when j is divided by z?
19
Suppose -270 = -u - 4*u. Let m = u + -37. What is the remainder when 100 is divided by m?
15
Let x(o) = -o**3 - 2*o**2 + 3*o - 3. Let p be x(-4). Suppose q = -y - 3*q - p, 0 = 4*y + 2*q - 2. What is the remainder when 11 is divided by y?
2
Suppose 15 + 9 = 2*k. Suppose -3*g + 41 + 454 = 0. Suppose 5*b = -0*b + g. Calculate the remainder when b is divided by k.
9
Let b(c) = -2*c. Suppose 280 + 110 = 10*n. Calculate the remainder when n is divided by b(-11).
17
Let c(a) = -a**3 + a**2 + 236. Let g be c(0). Suppose -13*y + 245 = -g. Calculate the remainder when 71 is divided by y.
34
Suppose 10*p + 249 = 1099. Let o = p + -74. What is the remainder when 65 is divided by o?
10
Let x(b) = -b**3 - b**2 - b + 3. Let w be x(0). Let y(g) = -g**2 + 12*g - 16. Calculate the remainder when 16 + (2 - 0/w) is divided by y(9).
7
Suppose -2*l = -5*z + 18, -2*z + 6 = 3*z + l. Suppose h - 3 = z. Suppose -4*t = -q + 55, 48 = h*q - 2*t - 155. Calculate the remainder when q is divided by 14.
11
Suppose 0 = -l + 4*i + 255, 0 = 2*l + 2*i - 319 - 181. What is the remainder when l is divided by 63?
62
Suppose 3*l - 5*h + 165 = 524, 3*l = -3*h + 327. Let s = 718 - 689. What is the remainder when l is divided by s?
26
Let q be -3*(2 - 71/3). Let n = q - 30. Suppose -w - 16 = -34. Calculate the remainder when n is divided by w.
17
Let d(b) = b**2 - 3*b - 4. Suppose 26 = 5*q - 9. Let x be d(q). Let u = x - 17. What is the remainder when 25 is divided by u?
4
Suppose 4*q - 18*d = -17*d + 19, -57 = -3*q - 4*d. Suppose 3*t + 10 = -2*t. Let y = t - -7. Calculate the remainder when q is divided by y.
2
Let n(p) = 4*p + 3*p**2 + p**3 + 0*p + 7 + 7*p + 8*p**2. Let y be n(-10). Calculate the remainder when 4 is divided by y/9 - 30/(-9).
1
Let f = -83 + 72. Let c(x) = -x**2 - 13*x + 4. Calculate the remainder when 103 is divided by c(f).
25
Let i(v) = -v**2 + v + 2. Let n be i(0). What is the remainder when (7 - -1)*-16*11/(-704) is divided by n/(-10) + 6/5?
0
Suppose -2*k + 5*g = -11 - 17, -k - 2*g = -23. Calculate the remainder when 43 is divided by k.
5
Let p(h) = h**3 - 4*h**2 - h + 2. Let n be p(4). Let x be ((-8)/(-10))/(n/(-5)). Suppose 0 = -2*i - x*i + 32. Calculate the remainder when 15 is divided by i.
7
Let s be 2/(-6)*(-144)/8. Let j = -1 + s. Suppose j*u + 4*k - 134 = 0, 4*k + 4 - 48 = -2*u. Calculate the remainder when u is divided by 11.
8
Suppose -2*p + 136 = 4*x, -6*p = -2*x - p + 80. What is the remainder when x is divided by 33?
2
Suppose -16*m + 32 = -880. Suppose 2*w + c = 90, -2*c - 2 = 6. Suppose 2*y + 2*b - w = -y, -2*b = -2. Calculate the remainder when m is divided by y.
12
Let g = -1440 + 1891. Calculate the remainder when g is divided by 114.
109
Suppose -10*o + 9*o + 16 = 0. Let h = -12 + o. Suppose -t = 4*c + h + 1, -c = 5. Calculate the remainder when t is divided by 9.
6
Suppose -2*k + 5 + 18 = c, -k + 9 = 3*c. Suppose 2*q = 6*q - 20. Let w = k - q. Calculate the remainder when 18 is divided by w.
4
Calculate the remainder when 6*(1 + (-3280)/(-30)) is divided by 35.
32
What is the remainder when 0 - (-3 + 7) - 1 - -94 is divided by 27?
8
Let x = -22 - -124. Let d = 128 - x. Calculate the remainder when d is divided by 9.
8
Calculate the remainder when 37 is divided by (1/(-1))/((-6)/(-9) + -1).
1
Suppose -3*v - 42 = 18. Let x = v + 38. Let q = 10 - -25. What is the remainder when q is divided by x?
17
Suppose -8*g = -3*g. Let d = g + 28. What is the remainder when d is divided by 15?
13
Suppose 3*b - 30 = -24. Suppose 8 = -2*d - b, -l + 20 = d. What is the remainder when 47 is divided by l?
22
Suppose -4*s = -o - 123, 56*s = 59*s + 5*o - 98. What is the remainder when 136 is divided by s?
12
Let w(u) = u**2 - 16*u - 45. What is the remainder when 239 is divided by w(-5)?
59
Let o(q) = 5*q - 6. Let w(g) = -3 + 4*g**3 + 1 - 3*g - 1 - 5*g**3. Calculate the remainder when o(7) is divided by w(-2).
7
Let n = -957 - -1043. Calculate the remainder when n is divided by 36.
14
Suppose -5*w - 5*r + 11 + 9 = 0, -3*w + 3*r + 12 = 0. Suppose w*s + 31 = 91. What is the remainder when s is divided by 7 - -1 - 6 - (-2)/1?
3
Let q = 66 - -2. Calculate the remainder when q is divided by (20/8*-1)/((-10)/108).
14
Let r = 595 + -592. What is the remainder when 27 is divided by r?
0
Suppose 26*m = 35*m - 342. Calculate the remainder when 73 is divided by m.
35
Suppose 6*i - 20 = i. Suppose -h - 2*h + 159 = -3*b, i*b + 20 = 0. Let r = -10 + 35. What is the remainder when h is divided by r?
23
Suppose 0*w - 18 = -3*w - z, -16 = -2*w - 2*z. What is the remainder when 21 - w/((-5)/2) is divided by 8/((-55)/(-15) + -3)?
11
Let c be (5/3)/(2/6). Let w(r) = -r**2 + 10*r - 6. Let g be w(c). Suppose -g = -f + 62. Calculate the remainder when f is divided by 21.
18
Suppose 5*o + 47 = 3*c, -4*c = 2*o + 38 - 118. What is the remainder when 92 is divided by c?
16
Let b(x) = 38*x**2 - 136*x + 1. What is the remainder when b(4) is divided by 32?
1
Suppose 1 + 7 = 4*x. Let b(k) = 3*k**2 - 1. Calculate the remainder when 52 is divided by b(x).
8
Let c = 2224 - 2076. What is the remainder when 582 is divided by c?
138
Suppose 5*q - 661 = -4*l, 3*q + l - 3*l = 423. Calculate the remainder when q is divided by 62/3 - (-4)/(-6).
17
Let t(v) = -33*v + 212. What is the remainder when 321 is divided by t(6)?
13
Calculate the remainder when (-34 + 0)*1/(-1) is divided by 25.
9
Suppose -m = 3*g - 716 + 190, -4*m = -2*g + 360. Calculate the remainder when g is divided by 36.
32
Let a(l) = -4*l**2 + 35*l - 1. Calculate the remainder when a(5) is divided by 25.
24
Let t(f) be the first derivative of -6*f**2 - f + 2 - 10 + f**2. Calculate the remainder when 115 is divided by t(-3).
28
Let c(w) = -17*w - 8. Let n be c(-5). Suppose -4*q = 3*t - n, q + 0*q - 4*t - 43 = 0. What is the remainder when q is divided by 5?
3
What is the remainder when 249 is divided by (-4 + -10)/(8/(-12))?
18
Let h = -153 + 170. Let a(k) = 19*k + 5. Let n(v) = -v. Let x(o) = -a(o) - 5*n(o). Calculate the remainder when x(-5) is divided by h.
14
Suppose 77 = l + d, 3*d + 369 = -49*l + 54*l. Calculate the remainder when 309 is divided by l.
9
Suppose 257 = 2*j + 5*h, 0 = 18*j - 17*j + 2*h - 131. What is the remainder when j is divided by 18?
15
Suppose -44*y + 27 + 1513 = 0. Calculate the remainder when 177 is divided by y.
2
Let y(n) = -n**3 - 13*n**2 - 22*n + 20. What is the remainder when y(-11) is divided by 12?
8
Suppose 83 = 5*o - 17. Calculate the remainder when 76 is divided by o.
16
Let x(t) = -t - 4. Let j be x(-6). Suppose 16 - 63 = -2*q + 3*o, j*q - 42 = 2*o. Calculate the remainder when q is divided by 10.
6
Let k = 25 + -23. Suppose k*g + r - 125 = -2*g, -2*r + 2 = 0. What is the remainder when g is divided by 16?
15
Let z(w) = -7*w + 44. Let y be z(6). Let n(v) = 3*v**3 + 6*v**2 + 6*v + 4. Let g be n(-4). Calculate