. Let y(s) = s**3 - 5*s**2 + 12*s - 32. What is the remainder when y(5) is divided by k?
4
Calculate the remainder when (-2)/(((-2)/269)/1) is divided by 72 + 17/(340/(-360)).
53
Let y = 116 - 114. Suppose -4*d + 16 = -4, -y*d = -4*s + 6. Suppose -5*u + 4*r = -65, r = 4*u - s*r - 61. Calculate the remainder when 31 is divided by u.
4
Suppose -3*v - 2 + 11 = 0. Let h = -8 - -17. Calculate the remainder when 2/v + 300/9 is divided by h.
7
Let w = 186 + -115. Suppose 4*f + 4*a = a + w, -2*f + 2*a + 32 = 0. Calculate the remainder when 129 is divided by f.
10
Let f = -8486 + 8556. Suppose -o + 34 = -175. Let m = o - f. Calculate the remainder when m is divided by 14.
13
Suppose 25*t - 39284 - 27241 = 0. What is the remainder when t is divided by 65?
61
Let u(y) = -y**3 + y**2 + 76*y + 64. What is the remainder when 408 is divided by u(-8)?
24
What is the remainder when -1923*15/(-6)*(71/(-15) + 5) is divided by 14?
8
Suppose 0 = 4*l - f - 15183, 52*l - 50*l + 2*f = 7604. What is the remainder when l is divided by 152?
149
Let z(q) be the first derivative of 4*q**2 + 151*q + 207. Calculate the remainder when z(-12) is divided by 11.
0
Suppose x = -5*n - 2*x + 12, -2*n - 3*x = -3. Suppose 4*k = -n*w + 118, -5*w + 38 + 28 = 2*k. Calculate the remainder when 48 is divided by k.
20
What is the remainder when 4/(16/1436) - (-6 + 2) is divided by 7?
6
Let v be (-1229)/(-2) - (-75)/270*-9. Let x = 683 - v. Calculate the remainder when x is divided by 19.
14
Let i(c) = 7*c**3 + 179*c**2 - 102*c - 597. What is the remainder when (1 + -4)*(-52)/3 is divided by i(-26)?
25
Suppose -5*v = -2*w + 3101, 0 = 5*v + 2*w + 956 + 2133. Let x = v + 896. What is the remainder when x is divided by 20?
17
Suppose 7*n - 49 = 7. Suppose 385 = b + 10*d - n*d, -3*d = -5*b + 1951. Calculate the remainder when b is divided by 14.
11
Let m = 1171 - 359. What is the remainder when m is divided by 91?
84
Suppose 11*w = 23*w - 4956. Let k = w + -392. What is the remainder when 74 is divided by k?
11
Let z(q) = 1460*q + 13183. What is the remainder when 2836 is divided by z(-9)?
41
Calculate the remainder when 480 is divided by 2 + 513/(-6)*60/(-45).
16
Let p(f) = -68*f - 2712. Calculate the remainder when 416 is divided by p(-46).
0
Suppose 22*r - 18*r = 20. Suppose -t + 10 = r. Suppose -t*y + 24 + 12 = p, 0 = 5*p + 3*y - 114. Calculate the remainder when 103 is divided by p.
19
Suppose 19*j + 741 - 247 = 0. Let b = 212 + j. Calculate the remainder when b is divided by 33.
21
Suppose -5*u + 10*u = 3*k + 54, 5*u = -2*k + 64. Let c(o) = 5*o - 16. Calculate the remainder when 3 - 2 - (-84 - -1) is divided by c(u).
40
Suppose 5*b - 2*n + 4*n - 496 = 0, -204 = -2*b + 2*n. Let g = -422 - -597. What is the remainder when g is divided by b/8 + (-9)/6?
10
Suppose 4*d - 2*d - 5*i = 12, 4*i = -8. Let f(k) = 458*k**3 + 3*k**2 - 3. Calculate the remainder when f(d) is divided by 23.
21
Suppose -d = 5*s + 14 - 29, -3*d + s + 77 = 0. Let z(l) = 5*l - 14. What is the remainder when d is divided by z(6)?
9
Suppose -5*g + 120 = 3*j, -6*j = -7*g + 9*g - 24. Let a = -17 + -12. What is the remainder when g is divided by (-2)/4 - a/2?
13
Suppose 0 = -h + 3, 3*g + 2*h + 54 = 6*g. What is the remainder when (-480)/(-5)*(-2)/(-6) is divided by g?
12
What is the remainder when ((581/(-2))/(-7))/(10/80) is divided by 31?
22
Let u(t) = -t**2 - 17*t + 35. Suppose -5*n = -3*o + 68, 0 = -2*n + 5*o - 3 - 9. Calculate the remainder when u(n) is divided by 13.
12
Suppose 0 = -15*f + 12 + 573. Calculate the remainder when 618 is divided by f.
33
Let q = 1218 + 153. Calculate the remainder when q is divided by 98.
97
Suppose -10*b + 1804 = 34*b. Suppose 33*h = b*h - 88. Calculate the remainder when h is divided by 5.
1
Let k(j) = -3*j**2 + 58*j - 58. Suppose -486 = -6*d + 942. Calculate the remainder when d is divided by k(17).
55
Suppose 3*y + 19*y = -8*y + 930. Calculate the remainder when 408 is divided by y.
5
Suppose 140*r = 365*r + 397 - 1522. What is the remainder when 797 is divided by r?
2
Suppose -3*r - 67 = -5*n - 58, -r - 4 = -2*n. What is the remainder when 164 is divided by n?
2
Suppose -5*y = -3*d - 14 - 0, -y + 10 = 3*d. Suppose -5*t - m = -13, -d*t + 0*t + 3*m = 5. Let f = t - -4. What is the remainder when 21 is divided by f?
3
Let d be 0 + 2 + -5 + -173. Let l = -172 - d. What is the remainder when 19 is divided by l?
3
Let a = 3 + 1. Let j = -91 + 77. What is the remainder when 6/j*((3 - -6) + -30) is divided by a?
1
Let v(o) = 6*o**2 - 94*o - 669. Calculate the remainder when 496 is divided by v(-6).
52
Let b be 1/2*(5 + -5). Suppose -3*q - 3*s + 213 = b, 2*q + 2*s + 3*s = 154. What is the remainder when q is divided by 17?
16
Let u(a) = -a**3 + a**2 + 64*a + 221. What is the remainder when 282 is divided by u(-4)?
12
Let p = -131 - -781. Suppose -p = -u - 9*u. Calculate the remainder when 259 is divided by u.
64
Let o(f) = f**3 - 62*f**2 + 54*f + 429. What is the remainder when 8 is divided by o(61)?
0
Suppose -3*s + 12*l + 129 = 8*l, -3*s + 5*l = -135. Calculate the remainder when 872 is divided by s.
32
Let l(g) = -g**3 + 11*g**2 - 17*g + 17. Let p be l(9). Suppose 0 = 5*j + 3*b - 57, -b - p = -2*j + b. Calculate the remainder when 67 is divided by j.
7
What is the remainder when 116 is divided by (-13208)/(-49530)*1/((-2)/(-15))?
0
Suppose -14 + 3 = 3*h - 5*u, 0 = 5*h + 4*u - 31. Suppose -11 = 4*p - 7, h*d = -5*p + 67. Calculate the remainder when d is divided by 14.
10
Let t(a) = 13*a - 1. Let b = 4 + 4. Suppose -3*x = -2*x + 5*v - 6, 4*v = -12. Calculate the remainder when t(b) is divided by x.
19
Suppose -4*v = 5*o - 3668, 4*o + 3677 = 9*o + v. Suppose 23*r = 138 + o. What is the remainder when 450 is divided by r?
32
What is the remainder when 458 is divided by (-1 - (-4 - 44)) + 11/(-11)?
44
Let q = 200 + 77. Suppose -q - 43 = -16*i. Suppose i*o = 10*o + 120. What is the remainder when 22 is divided by o?
10
Let r = 23 + 11. Suppose -4 = -2*d + r. Let j = d - 5. Calculate the remainder when j is divided by 4.
2
Suppose -m - 4*m - y = -283, y + 277 = 5*m. Suppose -32 = -f - 5*h, -12*h - m = -2*f - 14*h. What is the remainder when 100 is divided by f?
19
Suppose 0*x - 3*x + 240 = 0. Let t = -18703 + 18726. What is the remainder when x is divided by t?
11
Calculate the remainder when 10/(80/88) - (-27415)/5 is divided by 3.
1
Let p(q) be the second derivative of q**5/20 - q**4/12 - q**3/3 + 33*q**2 + 20*q. Calculate the remainder when p(0) is divided by 12*(-1)/((-5)/15).
30
Let c(b) = -4*b**3 + b**2 - 5*b - 27. Let f be c(5). Let z = 538 + f. Calculate the remainder when 186 is divided by z.
10
Suppose 51 = -3*u + 5*b + 859, 4*u + 5*b = 1124. Suppose 14*n - 2*n + u = 0. Let s = 5 - n. What is the remainder when s is divided by 16?
12
Let f(c) = c**3 + 7*c**2 + c + 9. Let q be f(-7). Suppose -4*v - q*v = -48. Calculate the remainder when v is divided by (-5)/((-4)/((-12)/(-3))).
3
Let n(q) = 2*q**2 + 332*q + 4264. Let o = -92 + 163. Calculate the remainder when o is divided by n(-14).
7
Suppose -t + 1779 - 108 = -3*h, 2*h = 3*t - 5055. What is the remainder when t is divided by 47?
44
Let c(q) = q**3 + 9*q**2 - 18*q - 110. Let g be c(-6). Let h = g - 67. Calculate the remainder when h is divided by 10.
9
Let u = -81 + 85. Suppose 2*c = -2*s + 530, -3*s = u*c - 684 - 371. Suppose -38 = 6*y - c. Calculate the remainder when 145 is divided by y.
34
Let b(d) = -16*d + 313. Let r = 542 - 344. Suppose 0 = -2*v + 4*v - r. What is the remainder when v is divided by b(18)?
24
Suppose 4*g - 9380 = 7932. Calculate the remainder when g is divided by 13.
12
What is the remainder when 459 is divided by 1265/(18 - 7) + -3?
11
Let z(u) = -29*u**3 + 47*u + 46. What is the remainder when 1480 is divided by z(-1)?
24
Suppose -3*r - 2*j + 91 = -4*j, -2*r + 3*j = -69. What is the remainder when 19 is divided by (1 - (r - 5))*1/(-3)?
5
Let b(j) = 32*j + 1. Let p be (-33 - -36) + (1 - -3) + -2. Suppose -5*y = -5*a - p, 29*a - 27*a = 4*y - 12. What is the remainder when b(1) is divided by y?
3
Suppose -2*s = -s - 21. Calculate the remainder when 1/7*(44 - -453) is divided by s.
8
Suppose 3*w - 227 = 76. Calculate the remainder when w is divided by 70.
31
Suppose 3*n + 14 = 5*p, 0 = 5*n - 9*n + 8. Suppose 8*f 