et f be r(5). Let b = 9 - f. What is the remainder when b is divided by 3?
1
Let b = 979 - 821. Calculate the remainder when b is divided by 56.
46
Let k(q) = q**3 - 6*q**2 - 4*q - 16. Let b be k(7). Suppose -2*w - b = -33. Calculate the remainder when 66 is divided by w.
10
Let k(f) = -f**2 - 36*f + 179. What is the remainder when k(-26) is divided by 217?
5
Suppose -5*t - 1288 = -1578. What is the remainder when t is divided by 9?
4
Let o(h) = -h**3 - 5*h**2 + 4*h - 4. Let b be (-8)/4*(1 - -2). Let i be o(b). Suppose 0 = 2*a - 8 - i. Calculate the remainder when a is divided by 3.
2
Let c(o) = -o**3 - 26*o**2 - 6*o - 33. Calculate the remainder when c(-26) is divided by 9.
6
Suppose -133*d + 87 = -130*d. Calculate the remainder when d is divided by 2.
1
Suppose 10*p - 35 = 9*p. Let l = p - 5. Calculate the remainder when 59 is divided by l.
29
Let h be 112/52 - (-6)/(-39). Suppose 0 = -2*y + 4*v + 20, -6*y + 5*v + 37 = -h*y. Let j(l) = l**2 - 4*l - 9. What is the remainder when j(8) is divided by y?
7
Let z(q) be the third derivative of q**6/60 - q**5/20 - q**4/24 + q**3/3 - 3*q**2. Let r be 4/(-2)*-1*1. Calculate the remainder when 14 is divided by z(r).
2
Suppose -10*z - 19*z = -2204. Calculate the remainder when 150 is divided by z.
74
Let r = 5 - 3. Let h(k) = 2*k + 7*k - 3*k + k**r + 7. What is the remainder when 20 is divided by h(-6)?
6
Suppose 745*h - 753*h = -96. What is the remainder when 2135 is divided by h?
11
Suppose -1024 = -3*h + 3*c + 563, -3*h - 2*c + 1567 = 0. What is the remainder when h is divided by 33?
30
Suppose -4*t - 4*j - 16 = 0, 4*t - 2*j = -j - 31. Let h = 34 + t. What is the remainder when 78 is divided by h?
24
Suppose -4*v + 460 = 3*w - 7*w, -464 = -4*v + 5*w. What is the remainder when 660 is divided by v?
105
Let h(s) = s**2 - 3*s + 9. Let u(r) = r + 3. Let f be u(-8). Calculate the remainder when h(f) is divided by (-2)/(-8) + 102/8.
10
Suppose k = 2*s + 664 + 311, k - 4*s = 973. Calculate the remainder when k is divided by 35.
32
Suppose -o - 7 = 3*j, -j = -3*o - 6*j - 13. What is the remainder when 75 is divided by (-12)/(-3) + (o + -1 - -4)?
3
Suppose 4*d - 5*m = 144, -12*m + 39 = d - 14*m. Calculate the remainder when d is divided by 8.
7
Let b(v) = v**3 + 5*v**2 - 52*v - 5. What is the remainder when 46 is divided by b(-10)?
1
Let z(l) be the first derivative of l**4/4 - 4*l**3/3 + l**2 + 11*l + 2. Calculate the remainder when z(5) is divided by 7.
4
Suppose 30*v = 19*v + 484. What is the remainder when 110 is divided by v?
22
Calculate the remainder when 162 is divided by (-11)/6 - -2 - 2575/(-30).
76
Suppose -39 = 48*y - 279. What is the remainder when 24 is divided by y?
4
Suppose 0 = -a - 1 + 40. Let j = 338 + -331. What is the remainder when a is divided by j?
4
Let p be (3/(-4))/(2/(-16)). Suppose 4*g = p*g + 22. Let o = 44 + g. Calculate the remainder when o is divided by 12.
9
Suppose 2*w + 2 = 82. What is the remainder when w is divided by 11?
7
Suppose -47*z = -33*z - 1008. Calculate the remainder when 131 is divided by z.
59
What is the remainder when 83 is divided by ((-11)/22)/((-6)/156)?
5
Suppose 0 = -2*b + 14 - 18. What is the remainder when -3*4*b*2 is divided by 17?
14
Suppose -44 = -5*r + 111. Suppose -5*y + 206 = r. What is the remainder when 67 is divided by y?
32
Suppose -8*u - 80 = -t - 12*u, 300 = 5*t - 5*u. Calculate the remainder when t is divided by 33.
31
Suppose 42*s - 45*s + 1710 = 0. Calculate the remainder when s is divided by 11.
9
Suppose -2*y + 138 = -4*u, 2*y - 72 = -5*u + 21. What is the remainder when y is divided by 16?
11
Let v be ((-16)/10)/((-6)/15). Suppose -v*b + 241 = 53. Suppose 0 = 2*t + 5*a - 24, 3*t - a - 24 = t. What is the remainder when b is divided by t?
11
Suppose 0 = -3*a + 6*a - 339. Suppose 4*y - 11 = 9. Suppose -y*s = -52 - a. Calculate the remainder when s is divided by 12.
9
Suppose 10*w - 92 = 288. Suppose 5*k = -2*z + 3*k + 20, 4*k = 2*z - w. Calculate the remainder when 61 is divided by z.
9
Let x(d) = 8*d**3 + 7*d**2 - 26*d + 32. Calculate the remainder when 204 is divided by x(2).
60
Suppose 2434 + 14 = 34*u. What is the remainder when 333 is divided by u?
45
Let o = 24 + 4. What is the remainder when 30/4*-4*o/(-24) is divided by 6?
5
Let z(q) = q**3 + 13*q**2 - 13*q - 44. What is the remainder when z(-13) is divided by 21?
20
Let x be (-24)/(-7)*(-28)/(-8). Suppose 5*q - 60 = -4*v, 2*q + 2*v = q + x. What is the remainder when 69 is divided by q?
9
Suppose -4*b + 12 = -2*w, -b + 2*w + 0*w - 3 = 0. Suppose 0 = b*s - s - 32. Calculate the remainder when 23 is divided by s.
7
Suppose -323*h + 320*h = -165. Calculate the remainder when 59 is divided by h.
4
Suppose -2*r - 70 = 3*d, 2*d + 20 + 22 = r. Let c = 16 - d. What is the remainder when 188 is divided by c?
36
Let j(p) = -p**3 + 4*p**2 + 23*p + 2. Let h = 96 + -34. Calculate the remainder when h is divided by j(7).
14
Let y = 6 - 3. Suppose f - t + 2 = 0, 4*t - 5 = -f + y. Suppose f = -b + 5 + 5. What is the remainder when 37 is divided by b?
7
Suppose j = 2*j - 47. Let u(x) = 4*x - 6. Let p be u(-4). Let g = 47 + p. What is the remainder when j is divided by g?
22
Suppose -4*q = -c - q + 16, -2*c + 14 = 3*q. Let w = 19 - -17. What is the remainder when w is divided by c + (2 - 2 - -3)?
10
Let v be 44 - (2 - 8/2). Suppose -14 = -6*g + v. Calculate the remainder when 39 is divided by g.
9
Suppose -2*n + 50 = o - 6*o, -5*n + 156 = 3*o. Calculate the remainder when n is divided by (44/6)/((-24)/(-36)).
8
Suppose -2*s + 51 = 3*l, 2*l - 6*s = -s + 53. Calculate the remainder when 72 is divided by l.
15
Suppose -2*p = -152 + 54. What is the remainder when 94 is divided by p?
45
Let r be (1 - 10)*(-132)/9. Let j = -225 + r. Let x = 163 + j. What is the remainder when x is divided by 24?
22
Let l = 17 + 20. Calculate the remainder when 105 is divided by l.
31
Calculate the remainder when 40/32 - 2739/(-4) is divided by 23.
19
Let d be 0*(-3 - (-8)/4). Suppose -n - 34 = -3*n - 4*o, -o - 5 = d. Let m = n - 20. Calculate the remainder when 13 is divided by m.
6
Suppose 30*s - 728 = 16*s. What is the remainder when 190 is divided by s?
34
Let w(o) be the third derivative of -o**6/120 + 23*o**5/60 - 23*o**4/24 + 14*o**3/3 + 13*o**2. Calculate the remainder when w(22) is divided by 2.
0
Let y(b) = -2*b**2 - 32*b - 33. What is the remainder when 388 is divided by y(-14)?
20
Suppose 6*n - 6259 = -5*n. Suppose -11*u + n = -69. Calculate the remainder when u is divided by 20.
18
Let d(y) = 242*y**2 - 4*y - 2. What is the remainder when d(-1) is divided by 21?
13
Suppose 10*w = 5*w + 100. What is the remainder when 49 is divided by (5/w)/((-2)/(-136))?
15
Let c = -43 + -32. Let k = c - -85. Calculate the remainder when 27 is divided by k.
7
Let j = -17 + 21. Suppose -z = 2*z - 2*y - 38, -5*y = -2*z + 40. Calculate the remainder when z is divided by j.
2
Let o(j) = -2*j**3 + 69*j**2 - 33*j - 27. What is the remainder when 18 is divided by o(34)?
4
Suppose 0*z = 6*z - 744. Let m = 164 - z. Calculate the remainder when m is divided by 21.
19
Suppose 3*c - 5*s - 18 = 0, 3*s - s = c - 6. Suppose n + 15 = c*n. Calculate the remainder when 0 + n - (-8 + -23) is divided by 12.
10
Let a = -396 - -421. Let c = -220 + 448. Let t = -129 + c. Calculate the remainder when t is divided by a.
24
Let z(k) = 3*k**2 + 2*k - 8. What is the remainder when 51 is divided by z(3)?
1
Suppose -c - 575 = -5*a, -a + 338 = 2*a - 2*c. Calculate the remainder when a is divided by 17.
14
Let a(c) be the second derivative of -c**5/20 - c**4 - 13*c**3/6 + 6*c**2 - 8*c. What is the remainder when a(-11) is divided by 7?
6
Let v(r) = 5*r + 60. Let c be v(-13). Calculate the remainder when (9 - 2)/(c/150*-6) is divided by 15.
5
Suppose 4*a + 3*m - 11 - 2 = 0, 2*a - 4*m = 12. Suppose t + v - 53 = 42, a*t - 383 = -3*v. Calculate the remainder when t is divided by 17.
13
Suppose 3*g + 6 = 0, 4*q + 2*g = 5*q - 30. Suppose 202 - q = 8*b. Calculate the remainder when b is divided by 14.
8
Let r(f) = -58*f + 2. Suppose 5*g - 10*g - 5 = 0. What is the remainder when r(g) is divided by 31?
29
Suppose -30*b - 3*h = -29*b - 389, 0 = h + 2. What is the remainder when b is divided by 47?
19
Suppose -6*l - 8 = 4. Let u(o) = o**3 + o. Let f be u(3).