7
Suppose 5*f = 5*p + 7905, 24*f - 3*p + 4701 = 27*f. Calculate the remainder when f is divided by 384.
38
Let g(i) = -19*i**3 + 2*i**2 + 6*i - 11. Let x be g(2). Let r = -134 - x. What is the remainder when 33 is divided by r?
6
Let b = -190 - -267. Let a = -85 + 59. What is the remainder when b is divided by (-3 - 24/(-4)) + a/(-2)?
13
Let l(v) = v**3 - 9*v**2 + 6*v + 14. Calculate the remainder when 345 is divided by l(9).
5
Let x(l) = l**2 - 7*l - 2. Suppose 5*n - 45 = -0*n. Let h be x(n). Suppose y - 4 - h = 0. What is the remainder when 77 is divided by y?
17
Calculate the remainder when (1 + -225)*-12*(-6)/(-96) is divided by 8.
0
Calculate the remainder when (-215569)/(-511) + (-15)/(-7) is divided by 16.
8
Let v = -282 + 284. What is the remainder when (v - (10 - -1))*(-145)/87 is divided by 6?
3
Let h = -10 + 13. Suppose 0 = 8*u - h*u - 65. Let c(l) = -62*l**3 - 3*l**2 - 2*l + 1. What is the remainder when c(-1) is divided by u?
10
Let u(b) = 17*b**2 - 6*b - 11. Let z be u(-6). Let j = -436 + z. Suppose -t + 10 = -6*t, -5*v - 2*t + j = 0. What is the remainder when v is divided by 12?
5
Suppose 626*f - 625*f = 4. Suppose -2*b + i - 2*i + 69 = 0, 0 = 2*b + f*i - 72. What is the remainder when 339 is divided by b?
33
Let j be ((-4)/6)/(14/(-861)). Suppose j = 2*t - 11. What is the remainder when t is divided by (-11 - -9)/(2/(-7))?
5
Let a = -5 + 7. Let l(c) = -10*c**a + 7*c - 6*c + 2 + 7*c**2 + c**3. Calculate the remainder when 12 is divided by l(3).
2
What is the remainder when 28125 is divided by (864/60)/(-8)*160/(-12)?
21
Suppose v + 4*q = 3, 3 = -q + 4. Let t be (5 + -5)/((-1)/v). Suppose t = -z - 4*z + 295. What is the remainder when z is divided by 15?
14
Let f = 44660 - 34013. What is the remainder when f is divided by 10?
7
Suppose -3*f = 2*g - 1638, 5*g - 4*f = 1082 + 3082. Calculate the remainder when g is divided by 239.
111
Let c be 20/(-60) - 73/(-3). Suppose -2*n - 16 = -4*v + 2*n, c = 4*v + 4*n. Suppose -v*d = -149 + 49. Calculate the remainder when 56 is divided by d.
16
Suppose w = 4*b - 7927, b - 1390 - 587 = 5*w. Calculate the remainder when b is divided by 1981.
1
Let j = 74 - -76. Let u be (6*(-10)/j)/((-4)/190). Suppose 21*b - u*b = 36. Calculate the remainder when 105 is divided by b.
15
Suppose 4 = k - 1. Suppose m - k*m - 3*r + 47 = 0, -r = 3. Suppose m*j - 394 = -72. Calculate the remainder when 112 is divided by j.
20
Let s(l) = 7*l**2 - 3*l + 2. Calculate the remainder when 242 is divided by s(1).
2
Let i(p) be the second derivative of -17*p**3/6 - 91*p**2/2 + 44*p. What is the remainder when 469 is divided by i(-10)?
74
Let i(l) = l**2 + 7*l + 3. Suppose -4*t - 15 + 4 = -u, u - 7 = 3*t. What is the remainder when i(-13) is divided by 4 + -5 + 25 - t?
25
Let y(n) = -238*n + 976. What is the remainder when 3429 is divided by y(4)?
21
Suppose -7 = -3*z - y, -z - 5*y = -10 + 3. Let o(p) = 5*p + 4 + 17*p**2 - 9*p**z + 1. Calculate the remainder when o(-2) is divided by 9.
0
Suppose 22*r - 1370 = 12*r. What is the remainder when r is divided by 19?
4
Suppose -m + 5*j + 24 = -24, 0 = -3*j - 15. Suppose m*g = 17*g + 294. Calculate the remainder when g is divided by 13.
10
Let c(h) = 4*h**2 - 6. Let v be c(3). Suppose 3*x + 255 = 3*i, 2*x + x = -2*i + 190. Calculate the remainder when i is divided by (-5 - 15/(-2) - 2)*v.
14
Suppose 5*x + 6 - 10 = -2*q, -4*x = -q - 11. Suppose 2*l - c = 445, 4 = -2*c - x. Calculate the remainder when l is divided by 15.
11
Suppose -3144 = -14*m + 1238. Suppose -4*z - 887 = -5*l + 666, -l = -2*z - m. Calculate the remainder when l is divided by 52.
49
Let k(i) = 2*i**3 + 2*i**2 + 3*i + 11. Let p = -2084 - -2084. Suppose -5*u = -3*b - u + 11, 3*b - 17 = -2*u. Calculate the remainder when k(p) is divided by b.
1
Suppose 3*z - 2*t = 27 + 124, 2*t + 53 = z. Calculate the remainder when (-6)/7 - (38 + (-23070)/210) is divided by z.
22
Let p be 2/(-4) + 43/2. Suppose p = 5*q - 129. Suppose q = -15*c + 20*c. What is the remainder when 18 is divided by c?
0
Let f = 69 - 53. Calculate the remainder when (24/(-6) - -23) + 4 is divided by f.
7
Let a(o) = o**3 - 65*o**2 + 800*o - 50. What is the remainder when a(49) is divided by 68?
54
Let q(m) = -m**3 - 17*m**2 - m - 7. Let n be q(-17). Suppose 2*v = 5*l - 13, 4*v - 4*l - n = -6*l. What is the remainder when (-39 + -1)*v*-1 is divided by 22?
18
Suppose -36 = -2*o - 52. Let q(k) = -6*k + 0*k - 18 - 10*k + 2*k. What is the remainder when q(o) is divided by 32?
30
Let q(n) = -28*n + 80. Let c(a) = -a**3 - a**2 + 42*a - 6. Let k be c(-7). Calculate the remainder when q(k) is divided by 23.
18
Let c(y) = 2839*y + 12. Calculate the remainder when c(1) is divided by 24.
19
Let y(b) = 2*b**2 + b + 3. Let d be y(-3). Suppose 17*h + 5 = d*h. What is the remainder when 18 is divided by h?
3
Let z = -245 + 265. Suppose -2*b = -3*p + b + 27, p - 3*b = 5. What is the remainder when z is divided by p?
9
What is the remainder when 2/4*-5 - (-13153833)/1406 is divided by 37?
29
Let k(h) = 12*h - 45. Let o be k(3). Let l(p) = -8*p - 26. Let f(z) = -7*z - 27. Let s(c) = -5*f(c) + 4*l(c). What is the remainder when 6 is divided by s(o)?
2
Suppose 2*b = 7*b - 25. Let j be b/(-5) + -3 + 4. Suppose -15 = 3*d, 0 = -x + 2*d - j*d + 12. Calculate the remainder when 4 is divided by x.
0
Suppose 0 = -31*a + 18*a + 689. Let c = a - 42. Calculate the remainder when 77 is divided by c.
0
Suppose -77*l + 20381 = 12*l. What is the remainder when l is divided by 9?
4
Suppose 0 = -277*c + 65*c + 25652. Calculate the remainder when 276 is divided by c.
34
Let a = 116 + -60. Suppose 0 = 2*r + 2*r - z - 386, -5*r + 2*z + 481 = 0. Let h = r - a. What is the remainder when h is divided by 15?
11
Suppose -1650*f = -825*f - 832*f + 70063. What is the remainder when f is divided by 834?
1
What is the remainder when 5247 + (7 - 11)*3 is divided by 28?
27
Let c = 1247 + -1173. Suppose j = 11 + 2. What is the remainder when c is divided by j?
9
Let u = -10015 + 10417. Calculate the remainder when u is divided by 34.
28
Let l be 2/7 - (6 - (-480)/(-35)). Suppose 127 = 9*v - l. What is the remainder when 134 is divided by v?
14
Suppose 20043 = 127*q + 54*q - 28*q. What is the remainder when 365 is divided by q?
103
Let m = -7043 - -7062. Calculate the remainder when 356 is divided by m.
14
Let h(r) = 32*r**2 + 6*r - 1. Let g be h(-1). Let p(l) = l**2 - 26*l + 54. What is the remainder when 83 is divided by p(g)?
25
Let m(b) = -2*b**3 + 26*b**2 - 2*b + 30. Let f be m(13). Suppose -4*l + l + 615 = f*i, 0 = l - i - 198. Calculate the remainder when l is divided by 68.
65
Suppose -5*l - 54 = -8*l. Calculate the remainder when 6/l*(-4 + 19) is divided by 5.
0
Let r = 141 + -108. Calculate the remainder when r is divided by 2.
1
Suppose -27 = 96*p - 2 - 409. Calculate the remainder when 2012 is divided by p.
0
Calculate the remainder when ((-25)/20)/((269745/5992)/(-15) - -3) is divided by 109.
89
What is the remainder when (-3608)/(-1353)*(-207)/(-2) is divided by (-3 - 1)*267/(-12)?
9
Let c be 5*((-6096)/(-40))/(-2). Let k = c - -456. Calculate the remainder when k is divided by 19.
18
Suppose -81*k + 92196 = -55*k. What is the remainder when k is divided by 91?
88
Let w(n) = 23*n - 5. Suppose 385*c - 381*c - 100 = 0. Calculate the remainder when w(5) is divided by c.
10
Suppose 5*o + 13 - 23 = 0. Let y(u) = -23 + 28 - o*u + 8. Calculate the remainder when 174 is divided by y(-11).
34
Let l(s) = -6*s**3 - 2*s**2 + 3*s + 22. Let c be l(6). What is the remainder when ((-15)/(-10))/((-12)/c) is divided by 24?
22
Suppose 18 = i - 4*h - 78, -i + 3*h + 93 = 0. Suppose -2*o + 286 = -i. What is the remainder when o is divided by 48?
41
Let v = 2901 - 1306. What is the remainder when v is divided by 57?
56
Let w(k) = k**3 - 41*k**2 - 43*k + 50. Let h be w(42). Calculate the remainder when h/((-96)/9) + 107/4 is divided by 19.
7
Let x(y) = -56*y + 6. Let l be x(-6). Suppose -162 - l = -6*h. Suppose 32*k = 29*k + h. Calculate the remainder when k is divided by 11.
6
Let d(c) = c**2 + 50*c + 2082. What is the remainder when d(-42) is divided by 864?
18
Let w = 5021 + -4988. What is the remainder when 1779 is divided by w?
30
Suppose -4320 = -17*v + 142*v - 29695. Calculate the remainder when v is d