e -l*f = -17 - 63. What is the remainder when f is divided by 5?
1
Calculate the remainder when (-4 + 5 - 7) + 876 is divided by 13.
12
Suppose 344 = 4*i + 2*t, 2*t - 69 + 306 = 3*i. Calculate the remainder when 202 is divided by i.
36
Let g(d) = -d**3 - 10*d**2 - d - 24. Let a be g(-10). Calculate the remainder when 3/6 + 6 + (-427)/a is divided by 8.
5
Let v = 12289 + -11696. What is the remainder when 1209 is divided by v?
23
Suppose 5*i = 4*r + 957, -11*i - 3*r + 936 = -6*i. Suppose -185*y + i*y = 44. What is the remainder when 31 is divided by y?
9
Suppose -198372 = -256*u - 38884. What is the remainder when u is divided by 4?
3
Suppose 3*l = -4*o + 14, 2*o - 6 = -2*o + l. Suppose 3*y - 88 = o*m, 4*m + 140 = 4*y + 16. What is the remainder when 98 is divided by y?
20
What is the remainder when 390 is divided by (-91)/(-4) + 32/(-56) + (-69)/(-84)?
22
Suppose 15*q + 12174 = 33*q + 5*j, 0 = 2*q + 3*j - 1338. Calculate the remainder when q is divided by 176.
150
Let j(x) = -17*x - 889. Suppose 0*k + 4*k - 328 = 0. Calculate the remainder when k is divided by j(-53).
10
Let a = -811 + 967. What is the remainder when 183 is divided by a?
27
Let a be 8*1*(-58)/(-116). Suppose 2*y = -3*y + 15. Suppose 0 = -0*s + y*s, -4*c + a*s + 108 = 0. Calculate the remainder when c is divided by 6.
3
What is the remainder when 267 is divided by ((-2)/(-9))/((-176)/(-65736))?
18
Suppose 14*y - 5737 = 7984 - 1625. Calculate the remainder when y is divided by 35.
24
Let l be 4*29 - (19 + -16). Suppose 79 = 4*a - l. Suppose -2*h + 0 = -a. Calculate the remainder when 71 is divided by h.
23
Suppose 26543 = 8*n + 8431. What is the remainder when n is divided by 746?
26
Suppose 4*w - 4 - 64 = -2*m, -5*w = -m + 55. Suppose m*h = 30*h + 1630. Calculate the remainder when h is divided by 25.
13
Suppose 2186 = 4*x - 2*b, 533 = x + 3*b - 8*b. Let p = x + -482. Calculate the remainder when p is divided by 18.
12
Calculate the remainder when 63/45 + 76/10 + 116 is divided by 57.
11
Let i be (-69)/(-9) - 1/(-3). Suppose 2*z + 2 - i = 0. Suppose -z*k = 5*a - 55, -2 = 4*a + 4*k - 46. What is the remainder when 32 is divided by a?
10
Suppose 3*o + 218 = 203, 0 = 3*q - 6*o - 315. Let g be 5/(15/(-6)) + 0. What is the remainder when q is divided by g/(-2*2/66)?
29
Suppose -38*f + 21*f - 835 = -22*f. Calculate the remainder when 5342 is divided by f.
165
Suppose 0 = -w - 7*g + 8091, -5*g - 44994 + 12894 = -4*w. What is the remainder when w is divided by 171?
169
What is the remainder when 9550/18 - (-704)/1584 is divided by 3?
0
Suppose 0*t + 111 = 3*t. Let v(w) be the second derivative of w**4/6 + 2*w**3 - w**2/2 - 4*w + 18. Calculate the remainder when t is divided by v(-7).
11
Suppose 0*u + 78 = 5*q - 2*u, 4*q - 5*u - 59 = 0. Suppose k = -4*j - 809 + 3168, 3*j - 5*k - 1752 = 0. Calculate the remainder when j is divided by q.
13
Let s = -87 + 131. Suppose 0 = -104*m - 31 + 301 + 42. Calculate the remainder when s is divided by m.
2
Suppose -1 + 3 = k - 3*x, 2*k + 4*x - 44 = 0. Let t = 3505 - 3228. What is the remainder when t is divided by k?
11
Let o = -8617 - -8949. What is the remainder when o is divided by 120?
92
Let f = -785 - -789. Suppose -g + 136 = 3*b, f*b - 20*g - 172 = -19*g. What is the remainder when 126 is divided by b?
38
Let p(u) = 16*u - 7. Let l be p(9). Calculate the remainder when l/4 + 6/(-24) - 3 is divided by 4.
3
Let s(l) = l**2 - 3*l - 4. Let p be s(4). Suppose p*w - 207 = -23*w. Calculate the remainder when w is divided by 2.
1
Suppose -379*u + 29898 = -77*u. What is the remainder when 6134 is divided by u?
95
Suppose 4*y = 16, -126*l = -130*l + 3*y + 960. What is the remainder when 2415 is divided by l?
228
Let d(s) be the second derivative of 1/3*s**3 - 3*s + 0 - 4*s**2. What is the remainder when 48 is divided by d(9)?
8
Let n = 522 - 526. What is the remainder when 96 is divided by (n/5)/(-4) - 1148/(-35)?
30
Let q(v) = v**2 - 55*v + 22. Let k be q(48). Let o = 446 + k. Calculate the remainder when o is divided by 48.
36
Suppose 192 = 5*j + x, 3*j - 6*x + 4*x - 123 = 0. Let f(y) = -y**2 + 38*y + 49. What is the remainder when f(j) is divided by 5?
0
Suppose 0 = -5*i - 4*b + 152, i + b - 38 = 4*b. Suppose 0 = 4*x, 4*x = 4*s - 215 - 1. What is the remainder when s is divided by i?
22
Suppose 66*c = 13062 + 3215 + 22333. What is the remainder when c is divided by 271?
43
Let l(o) = -o**3 + 17*o**2 - o + 59. Let v be l(17). Suppose v - 140 = -7*z. Calculate the remainder when 263 is divided by z.
11
Suppose 13 + 11 = 12*q. Suppose 0 = 4*m + 5*z - 69303, m = -m + q*z + 34674. What is the remainder when m/224 + 3/(-8) is divided by 20?
17
Suppose 5*p + 2*g - 4*g - 22 = 0, 18 = 4*p - 2*g. Suppose m - p = 3*x, m + 4*m + x - 100 = 0. What is the remainder when 321 is divided by m?
17
Let p(c) = 125*c - 4250. Calculate the remainder when p(40) is divided by 206.
132
Let p be 2/(-15) - (-32)/15. Suppose c - p = 0, -z - 10 = -4*c - 8. Suppose 5*g = d + z*g - 181, -25 = 5*g. What is the remainder when d is divided by 21?
18
Suppose 5*d = -0*d + 35. Suppose -j = -d + 1. What is the remainder when 2289/7630 + 114/20 is divided by j?
0
Suppose 4*r - r = -3*d + 381, 5*d - 590 = 4*r. Let p = -261 + d. Let a = 264 + p. What is the remainder when a is divided by 21?
20
Let t = -17747 + 20202. Calculate the remainder when t is divided by 39.
37
Calculate the remainder when 8504/28 + 10 + 6/21 is divided by 6.
2
Suppose 678*j + 7102 = 687*j - 6902. Calculate the remainder when j is divided by 323.
264
Suppose 159*m - 21748 - 7667 = 0. What is the remainder when m is divided by 166?
19
Suppose 135 = s + 4*m, 62 + 33 = s - m. What is the remainder when 666 is divided by s?
48
Suppose 0 = o + 5, -4*o = 14*u - 16*u + 80. Let i = -21 + 38. Let s = u - i. What is the remainder when 22 is divided by s?
9
Let v(w) = 3*w**3 + 118*w**2 - 89*w + 31. What is the remainder when v(-40) is divided by 3?
1
What is the remainder when 2/(-3) - (18/45 - 11557/105) is divided by 150/(-9)*6/(-5)?
9
Let w = 818 + 1224. Calculate the remainder when w is divided by 28.
26
Let a be (16/(-6))/((-3)/9). Let k(t) = -t**3 + 9*t**2 + 3*t - 21. Suppose 2*y = -20 + 56. What is the remainder when k(a) is divided by y?
13
Suppose 2*c - 32 = 3*x + 13, -45 = 3*x - 5*c. Suppose 6*v - v - 4*j = 74, 0 = -5*v - j + 69. Calculate the remainder when (x/10)/(15/(-410)) is divided by v.
13
Let q = 1653 - 950. What is the remainder when 6 + (147/(-7))/(-1) is divided by (-2)/5 - q/(-95)?
6
Suppose 2493 + 4108 = 96*c + 1321. Calculate the remainder when 1152 is divided by c.
52
Suppose -u + 160 = a, -5*a - 4*u = -3*u - 820. Let k = -20260 - -20304. Calculate the remainder when a is divided by k.
33
Let g = -178 + 184. What is the remainder when (g*2)/(-3) - (-39 + -2) is divided by 16?
5
Suppose 5*h + 0*h = 245. Let w be 1 - -1*(7 - 148). Let d = -122 - w. Calculate the remainder when h is divided by d.
13
Suppose -135 - 477 = 3*m. Calculate the remainder when (-52200)/m + (-10)/(-85) is divided by 7.
4
Let k(b) = 2*b**3 - 5*b**2 + 38*b + 14. Calculate the remainder when k(4) is divided by 6.
4
Suppose -3*n - 51 + 201 = -4*r, 4*r + 204 = 4*n. Let y be ((-8)/12)/((-4)/n). Suppose -y*d = -10*d + 31. Calculate the remainder when d is divided by 10.
1
Suppose 7*p - 5*p + 302 = 0. Let m = 175 + p. Calculate the remainder when m is divided by 13.
11
What is the remainder when 398/(-199)*(-1390)/4 is divided by 228?
11
Let r(m) = -16*m + 6. Let v be r(-2). Calculate the remainder when (-3 + 0/1)*v/(-6) is divided by (-20)/(-3) - 1/(-3).
5
Suppose 2*s + 0*s = -2*q + 102, 59 = s - 3*q. Let k = s + -40. Calculate the remainder when 60 is divided by k.
8
Let m = -140 + 323. Suppose -2*f + m = -17. Suppose -f = 9*x - 13*x. What is the remainder when 123 is divided by x?
23
Let c(i) be the second derivative of -8*i**3/3 - 67*i**2/2 + 72*i. Calculate the remainder when c(-14) is divided by 34.
21
Suppose -3*s - 50*m + 47*m = -1926, 2*s = 3*m + 1259. Calculate the remainder when s is divided by 9.
7
Let j(o) = 65*o**3 + 7*o**2 + 42*o - 122. What is the remainder when j(3) is divided by 76?
74
Let n(d) = 13*d - 42. Let v be n(4). Suppose 108 = -v*z + 278. Suppose -3*x - 96 = -6*x. What is the remainder when x is divided by 