the remainder when s is divided by 479.
2
Let l(i) = -6*i - 52. Let h(s) = 2*s + 18. Let p(d) = -11*h(d) - 4*l(d). Suppose z + 24 = 5*z. Calculate the remainder when z is divided by p(-3).
2
Let r(c) be the third derivative of c**5/15 - 5*c**4/4 - 13*c**3/3 - 4*c**2 - c. What is the remainder when r(10) is divided by 16?
10
Let o = -89 + 197. Let y = 115 - o. What is the remainder when 9 is divided by y?
2
Suppose -4*a + 108*c - 107*c = -6495, -4*a + 4*c + 6504 = 0. What is the remainder when a is divided by 56?
55
Let m(o) = 10*o**2 - 2*o - 1. Suppose -5*u = 11 - 26. Suppose 12 = 4*l, u*l = 7*d - 5*d + 1. Calculate the remainder when m(-1) is divided by d.
3
Let d = 64 + -61. Suppose -3 + d = 3*t. Suppose 3*o + 37 = 4*z, t*z + 5*z - 60 = o. What is the remainder when 114 is divided by z?
10
Let y = -306 - -344. What is the remainder when y is divided by 20 - 9/((-63)/(-14))?
2
Let x = 2014 - 1871. What is the remainder when 728 is divided by x?
13
Let z be 10/(-15)*-15 - 3. Let t be -32 + z/((-14)/4). Let u = 67 + t. What is the remainder when 94 is divided by u?
28
What is the remainder when 84/28 + (-1 - -224) - -4 is divided by 65?
35
What is the remainder when (((-60950)/(-15))/5*3)/(1 - 0) is divided by 20?
18
Suppose 255219 - 210232 = -185*h + 576862. Calculate the remainder when h is divided by 93.
85
Let z(f) = 5*f**2 + 2*f + 4. Let o be z(-4). Let a = o + -66. Suppose -t + m + a = 0, 0*m - 2*m = -5*t + 41. Calculate the remainder when 19 is divided by t.
5
Suppose 24*o + 84*o - 3800 = 58*o. Calculate the remainder when o is divided by 23.
7
Let m(k) = k**3 + 8*k**2 - 23*k - 137. Let r be ((-4)/(-4))/((-3)/(-18)). Suppose -r*y + 64 = -2*y. Calculate the remainder when m(-8) is divided by y.
15
Let j(y) = 56*y - 4. Let n(k) = -19952*k - 159599. Calculate the remainder when j(4) is divided by n(-8).
16
Suppose 358 = -19*y + 4406 + 4084. Suppose -63 = -x + 3*c, c + 52 = 4*x - 167. Calculate the remainder when y is divided by x.
50
Let m(d) = -619*d + 10078. Calculate the remainder when 872 is divided by m(16).
2
Suppose 0*v + 3*t = 2*v - 64, 2*t = 2*v - 60. Suppose 2*z + 22843*h - 22844*h - 156 = 0, 0 = -3*z + 5*h + 276. What is the remainder when z is divided by v?
20
Suppose -4*n - 4*v - 65 = -7*n, 4*n - v - 65 = 0. Suppose 12 = n*g - 12*g. Let l = 10 - -2. What is the remainder when l is divided by g?
0
Let i = 67 - 58. Suppose -i*m + 1985 = 302. Calculate the remainder when m/5 - 6/15 is divided by 13.
11
Let n = 26 - 22. Suppose 4*a = 3*f - 95, -n*f - 3*a - 36 = -121. Calculate the remainder when (-6)/(-12) - 586/(-4) is divided by f.
22
Let f(g) = -123*g + 419. What is the remainder when 299 is divided by f(3)?
49
Suppose 2*a - 4122 = -3086. Calculate the remainder when a is divided by 58.
54
Let j = -726 + 712. Let f(z) = 2*z**2 + 28*z + 126. What is the remainder when f(j) is divided by 5?
1
Suppose -5*m + 24250 = 10*t - 5*t, -2*t - m = -9705. What is the remainder when t is divided by 286?
279
Let m = -6698 + 6772. What is the remainder when 317 is divided by m?
21
Let w(h) = -18*h**3 - h + 1. Let p be w(1). Let c = p - -41. Let t(o) = 6*o**2 - o - 1. Calculate the remainder when t(4) is divided by c.
22
Suppose -3*g + 23*n + 442 = 25*n, 0 = -g - 4*n + 154. What is the remainder when 491 is divided by g?
53
Let v(q) = -7*q - 39. Let i be v(-5). Calculate the remainder when 3/1 - ((-12)/1 + i) is divided by 10.
9
Let c(l) = 2*l**2 - 2*l - 60. Let b be c(7). Calculate the remainder when 162 is divided by 9/b + (-2065)/(-40).
6
Calculate the remainder when 553 is divided by 3/(-7) - -44*567/588.
7
Suppose -573 = -25*b + 427. What is the remainder when 153 is divided by b?
33
Let h = -1176 + 1281. Calculate the remainder when 117 is divided by h.
12
Let t(c) = -112*c + 734. What is the remainder when 614 is divided by t(6)?
56
Let f be (0 + 2 + (-140)/60)*-714. Let x = f - 182. Calculate the remainder when x is divided by 16.
8
What is the remainder when 7313 is divided by (2 - (-25)/(-15))/(-4 - 4445/(-1110))?
61
Suppose 198*b + 1416 = 201*b - 3*a, 2*a = 3*b - 1423. What is the remainder when b is divided by 84?
59
Let v = 5368 - 5127. What is the remainder when v is divided by 125?
116
Suppose -10*h = -2*h - 16. Let s(d) = 3 - 27*d**h - d + 33*d**2 - 1. What is the remainder when s(2) is divided by 15?
9
Let c(h) = -h**3 + 25*h**2 - 112*h + 73. Calculate the remainder when 1773 is divided by c(19).
108
Suppose 3*l + 195 = -0*l. Let x = l + 115. Let t = x - 35. What is the remainder when 55 is divided by t?
10
Let q(h) = 70*h**2 - 1454*h - 13034. Calculate the remainder when q(-9) is divided by 229.
226
Suppose -v + 4*v + n - 54 = 0, 4*v - 5*n = 72. Let y(m) = -6*m - 8*m + v*m - 26. Calculate the remainder when 33 is divided by y(8).
3
Suppose -950 = -42*c + 39*c + m, 3*c + 2*m - 971 = 0. What is the remainder when 14352 is divided by c?
316
Let u = -5 - -51. Let v be (-1*(-12)/3)/(8/10). Suppose -v*y + 133 = 73. Calculate the remainder when u is divided by y.
10
Let o(d) = -d**3 + 21*d**2 + 45*d - 3. Let q be o(23). Let u = q + 90. What is the remainder when u is divided by 9?
1
Suppose -3*p + 348 = 4*f, -f - 309 = -3*p + 9. What is the remainder when p is divided by 37?
34
What is the remainder when (49860/(-90))/(0 + -1) is divided by 183?
5
Suppose -15524 = -766*g - 1736. What is the remainder when 175 is divided by g?
13
Calculate the remainder when 327*234/90 + (-4)/(-5) is divided by 112.
67
Suppose 0 = w - 13*w + 355 - 43. Suppose 0 = 2*y + 3*y - 250. What is the remainder when y is divided by w?
24
Let u be 10/3 + (-4)/(-6). Suppose 0 = -6*c + c - 3*w + 146, -u*c = w - 114. Suppose -c = -9*z + 125. Calculate the remainder when 33 is divided by z.
16
Let j(h) = 8*h**2 + 4. What is the remainder when j(-4) is divided by (((-28)/(-6))/7)/(5/(1380/8))?
17
Suppose -l + 106 = 4*n, -2*n = 3*n - 5*l - 120. Suppose p + 2 = 1, 4*r - 5*p + 287 = 0. Let s = 3 - r. What is the remainder when s is divided by n?
24
Suppose 174 - 46 = 4*a. Let x = -102437 - -102531. Calculate the remainder when x is divided by a.
30
Let d(q) = -q + 184. Suppose 8398 = 148*w + 211*w + 135*w. Calculate the remainder when d(0) is divided by w.
14
Let z(o) = o**2 + 3*o - 2. Let w be z(-5). Suppose -w = 4*m + 8. Let y(s) = 5*s + 30. What is the remainder when 28 is divided by y(m)?
8
Let m(h) = -2*h**2 - 14*h + 5. Let c be m(-7). Suppose 0 = -7*y + c*y - 70. Let t = 40 + y. Calculate the remainder when t is divided by 4.
1
What is the remainder when (-65)/26 + (-12)/(120/(-3995)) is divided by 165?
67
Let d be ((-3)/(-4))/((-5)/(-20)). Suppose -d*v - 43 = -5*c, 6 = 2*c + 4*v - 6. Let s = -5099 - -5128. What is the remainder when s is divided by c?
5
Let l = -549 - -782. Suppose 5*z = 3*f - 273 - l, f + 2*z = 187. Calculate the remainder when f is divided by 35.
2
Let f = 21147 - 9998. What is the remainder when f is divided by 8?
5
Let h = 0 - 3. Calculate the remainder when 43 is divided by ((-3)/(-6))/(h/(-114)).
5
Suppose 43*y + 8906 - 1424 = 0. Calculate the remainder when 50 is divided by (8/6*y/(-8))/1.
21
Let f(b) = -b**2 - 96*b - 1587. Calculate the remainder when f(-42) is divided by 97.
2
Suppose -2*y = -o - 1545, -4*y - 1119 = 4*o - 4215. What is the remainder when y is divided by 71?
63
Suppose 0 = -5*n - 5*p + 50, -5*n - 16*p = -21*p - 90. Let l = -262 - -274. What is the remainder when n is divided by l?
2
Let s = -3410 + 3620. Calculate the remainder when s is divided by 71.
68
Suppose -2*k + 3*j = 8*j - 63, -j = 2*k - 59. Let c(z) = z**3 - z**2 - 49*z + 8. What is the remainder when c(8) is divided by k?
6
Let k be (-21)/1 - 0/5. Let g = 35 + k. Suppose -6 = -2*u, -10*s - 3 = -14*s + 3*u. What is the remainder when g is divided by s?
2
Suppose -24*p + 2 = 2. Suppose p = 28*n - 76 - 92. Calculate the remainder when 43 is divided by n.
1
Let a(m) = -m**3 - m**2 + 30. Let n = 14 - 14. Suppose 2*v = -v + z + 434, 150 = v + z. Calculate the remainder when v is divided by a(n).
26
Let u = -18849 + 18875. What is the remainder when 1883 is divided by u?
11
Suppose -2*j - 2 = 0, 5*j - 22 = -4*g + 369. What is the remainder when 2394 is divided by g?
18
Calculate the remainder when (419/(-2))/(16/(-32)) is divided by 53.
48
Suppose -184*l = -4632 +