 21. Let f(y) = n(y) - 3*q(y). Let r be f(16). Calculate the remainder when 4/2 + r + (-1 - 1) is divided by 22.
19
What is the remainder when 463 is divided by 114 - ((-12 - -11) + -8)?
94
Let b be (-16)/8 - (-7)/((-14)/(-1632)). Suppose 4*s - 74 = b. What is the remainder when s is divided by 32?
30
Let r(z) = -z**3 - 31*z**2 + 67*z + 35. Let q be r(-33). Suppose -q*f + 8 = 0, 9*f - 8*f = 2*a - 1194. Calculate the remainder when a is divided by 14.
11
Suppose u - 3259 + 3232 = -2*w, -5*u + 105 = -5*w. What is the remainder when 2006/22 + (-10)/55 is divided by u?
22
What is the remainder when (44/(-3))/(3 + 5057/(-1677)) is divided by 34?
28
Calculate the remainder when 110 is divided by (62 - 65)/3 + (1 - (-62)/2).
17
Let i = -307 + 344. Suppose x - 100 - 78 = 5*m, 2*x - m = 365. What is the remainder when x is divided by i?
35
Suppose 0 = 2*v + 4 - 10. Suppose 2*o + 4*m = v*o - 47, 50 = o - 5*m. Suppose -j = -5 + 3, o = 3*l - 5*j. What is the remainder when 72 is divided by l?
12
Let m(l) = -18*l - 31. Let n = 88 - 91. Calculate the remainder when 42 is divided by m(n).
19
Suppose -2*f + 5 = -24 + 3. What is the remainder when 223 is divided by f?
2
Let r = -114 + 225. Suppose 4*z - 1113 = -z - 4*u, -3*z + 678 = -u. Suppose -4*a + r = -z. Calculate the remainder when a is divided by 22.
18
Suppose 152*n + 36*n = 180292. Calculate the remainder when n is divided by 24.
23
What is the remainder when 459 is divided by 46/(-2)*(-43)/((-731)/(-68))?
91
Suppose 107*a - 230071 = -80*a + 53047. What is the remainder when a is divided by 15?
14
Let m = -19215 + 19305. Calculate the remainder when m is divided by 38.
14
Let k(n) = -36*n - 14. Let a(s) = s**2 + 6*s - 13. Let c be a(-8). Let m be k(c). Let i = -50 - m. Calculate the remainder when i is divided by 15.
12
Suppose -36 - 52 = -4*c + 5*t, -44 = -2*c + t. Calculate the remainder when 681 is divided by c.
21
Suppose 4*b + 397 = -3*f, 5*f - b = -90 - 564. Let x = f + 116. Calculate the remainder when 135 is divided by (x/(-10))/(9/204).
33
What is the remainder when 655 is divided by (84 - -11)/(0 - -1)?
85
Suppose -194 = 9*a - 212. Suppose 5*t - 8*i - 1179 = -4*i, -a*t + 4*i + 462 = 0. Calculate the remainder when t is divided by 40.
39
Let r = 11477 + -11337. What is the remainder when 4052 is divided by r?
132
Let a = 177 - 70. Let z = -29 - -29. Suppose 3*g = 3, -4*g - 164 = -z*m - 3*m. What is the remainder when a is divided by m?
51
Let k(z) = -40*z - 17*z - 16594 + 16294. What is the remainder when k(-6) is divided by 4?
2
Let w = 338 + -216. Let v = w - 97. What is the remainder when 109 is divided by v?
9
Let v = 8431 + -7799. Calculate the remainder when v is divided by 622.
10
Suppose 31370 - 428711 = -22*r - 29*r. What is the remainder when r is divided by 8?
7
Let v = -151 - -145. What is the remainder when -37*(v/18*-3 - 2) is divided by 20?
17
Suppose 4*s + 36 = 3*b, 219*b = 223*b + 5*s - 17. Calculate the remainder when 997 is divided by b.
5
Let n(x) = x**3 + 6*x**2 + 6*x - 5. Let z be n(-5). Let g be 1/(2/z)*78/(-10). Suppose -2*r + g = r. What is the remainder when r is divided by 9?
4
Suppose 0 = -n - p + 3, 0 = -28*n + 26*n + 3*p + 16. Suppose -n = 2*v + 4*k + 7, -2*k = 3*v - 2. Calculate the remainder when 41 is divided by v.
1
Let w(h) = -82*h + 1026. Calculate the remainder when 275 is divided by w(11).
27
Let z = 8198 - 7591. Calculate the remainder when z is divided by 106.
77
Suppose 0 = 5*a + 55 - 195. What is the remainder when 3865/46 - (-2)/(-92) is divided by a?
0
Let w = -13 + 23. Let m = 11195 + -11092. What is the remainder when m is divided by w?
3
Let v(y) = -y**3 + 23*y**2 - 57*y - 5. Suppose -2*s - 2*a = -38, -3*a - a = -2*s + 44. Calculate the remainder when v(s) is divided by 14 + ((-4)/(-2) - 1).
10
Suppose 6*k - 209 - 421 = 0. Suppose 29*x = -k + 511. What is the remainder when 53 is divided by x?
11
Let l = -5806 + 7602. What is the remainder when l is divided by 36?
32
Let m = -46 + 96. Suppose -m*h = -52*h + 102. Let r = h - 11. Calculate the remainder when r is divided by 22.
18
Let q = 103 + -101. Let i(w) = -4*w + 17. What is the remainder when 35 is divided by i(q)?
8
Let o(z) = 2*z**3 - z**2 - 6*z + 8. Let x be o(2). Suppose 4*i = 6*g - x*g + 430, 0 = -5*i + g + 520. Calculate the remainder when 313 is divided by i.
103
Let q(o) = 18*o**3 - 2*o**2 - 64*o + 518. What is the remainder when q(7) is divided by 11?
8
Let x(d) = -d**2 + 16*d + 50. Let u = 136 + -119. What is the remainder when 118 is divided by x(u)?
19
Suppose 21*l - 27 = 18*l. Suppose -40 = -l*v + 8*v. Calculate the remainder when 119 is divided by v.
39
Let h(c) = -c**2 - 5*c + 48. Suppose 0 = 36*a - 43*a - 42. Calculate the remainder when h(a) is divided by 24.
18
Let k(t) = t**2 + 118*t - 697. Let s(x) = 5*x + x**2 + 10*x - 3*x + 14 + 0*x. Calculate the remainder when k(6) is divided by s(-13).
20
Let p = 21 + -25. Let q(f) = -11*f - 10. Let c be q(p). Let b = c + 4. What is the remainder when b is divided by 8?
6
Let m(v) = 1 + 6*v + 4*v - v + 1 - 2*v. Calculate the remainder when 268 is divided by m(2).
12
Let v(y) be the first derivative of -y**3/3 + 8*y**2 + 32*y - 22. Let q be v(18). Calculate the remainder when q + 5/(15/159) is divided by 26.
23
Suppose 16*a = 11*a - 3*x + 1513, 3*x + 1507 = 5*a. Calculate the remainder when a is divided by 249.
53
Let f(n) = -502*n - 1232. Calculate the remainder when f(-3) is divided by 90.
4
Let i(y) = 349*y + 58. Let c be i(-2). Let d = 661 + c. Calculate the remainder when 39 is divided by d.
18
Suppose 0*m - m + 63 = 5*c, -63 = -m - c. What is the remainder when 236 is divided by m?
47
Let u be (-5 - (-11)/2)*-300. Let v = 272 + u. Calculate the remainder when v is divided by 62.
60
Let c(r) = 4*r**2 + 16*r - 9. Let k(u) = -3*u**2 - 15*u + 8. Let v(x) = -4*c(x) - 5*k(x). What is the remainder when 57 is divided by v(3)?
17
Suppose 83 = -2*t - 21. Suppose 2*g = -5*x - 87, 0*g + 3*x + 44 = -g. Let k = g - t. What is the remainder when 30 is divided by k?
8
Let u(f) = -179*f**3 - 16*f + 19. What is the remainder when u(-4) is divided by 58?
55
Let w = 19828 - 19701. What is the remainder when 8507 is divided by w?
125
Let w(j) = j**3 - 13*j**2 - 465*j + 22. Calculate the remainder when 640 is divided by w(-16).
32
Let n be 94*17*81/(-18). What is the remainder when (8/6)/((-17)/(n/6)) is divided by 19?
18
Suppose -4395 = 8953*r - 8968*r. What is the remainder when r is divided by 16?
5
Let h(y) = -10*y**2 + 334*y - 5. Calculate the remainder when h(30) is divided by 128.
119
Let l be ((-3)/6 - 0)*(-3 - 1). Suppose -45 = -5*v - l*n, 6*v = v + 5*n + 10. Suppose -411 - v = -11*c. Calculate the remainder when c is divided by 15.
8
Calculate the remainder when (-225)/27*(-4239)/45 is divided by 159.
149
Let i(j) be the second derivative of j**5/20 - j**3/2 - j**2/2 - 39*j. Let y be (-1 - -2)/(-1)*-3. Calculate the remainder when 33 is divided by i(y).
16
Let s be 134/(-603)*(-10 - -1). Calculate the remainder when 12 is divided by (1/s)/((-52)/(-208)).
0
Let d = 8050 + -7976. Calculate the remainder when d is divided by 42.
32
Let u(n) = -n**2 - 2*n + 1. Let d(t) = -2*t**2 + 13*t - 127. Let k(w) = -d(w) + u(w). What is the remainder when k(6) is divided by 23?
5
Let s(h) = 64*h + 3198. What is the remainder when 360 is divided by s(-49)?
50
Suppose -58*x = 6 - 1340. Calculate the remainder when x/(-230) - (-22653)/30 is divided by 84.
83
Let d(a) = -a**3 - 8*a**2 + 6*a - 9. Let q(o) = -5*o - 8*o**2 + 11*o**2 - 2*o**2 + 14*o + 9. Let y be q(-6). Calculate the remainder when 49 is divided by d(y).
13
Suppose -x = 25 - 124. Let p = 109 - x. What is the remainder when p is divided by 6?
4
Let b be ((-15)/45)/(1/(-9)). Let i(n) = n**3 - 2*n**2 + 3*n - 6. Let m be i(b). Calculate the remainder when 23 is divided by m + (-2 + -1)/((-12)/(-16)).
7
Let s = 4728 + -4635. Calculate the remainder when 375 is divided by s.
3
Let q(h) = 44*h**2 + 19*h - 17. What is the remainder when q(1) is divided by 33?
13
Let w(x) = -2*x - 3. Let y be w(-4). Suppose m = -2*i - 1, -y*m - 10 = 4*i + 7. Let b(a) = -1300*a + 74101. Calculate the remainder when i is divided by b(57).
0
Suppose 0 = -5*z, 4*i + 5*z - 20 = 4*z. Suppose i*o = o. Suppose 2*m - 240 = -5*