 Let u = g + -233. Let q(l) = -l**3 + 9*l**2 + 8*l + 9. What is the remainder when q(8) is divided by u?
43
Let s = 11541 - 11500. Calculate the remainder when 193 is divided by s.
29
Let k be ((-2)/3)/(2/(-3)). Calculate the remainder when (-11)/((-165)/(-6))*(-3 + -62) is divided by (k/(-3))/(4/(-108)).
8
Let i be (-1)/((-2)/12 + 132/1224). Suppose 11*c + 186 = i*c. Calculate the remainder when 369 is divided by c.
28
Suppose -2*t - 5*g + 7 = 0, -8*g + 4*g + 20 = 4*t. Suppose t*a - 4*a - 34 = 0. Suppose 501 = 5*y + 186. What is the remainder when y is divided by a?
12
Suppose -4 = 10*s - 12*s, 2*w + 2*s = 8. Let a be -66*((-7)/3 + 2). Suppose -3*j + a = -w*j. What is the remainder when 63 is divided by j?
19
Let q be 5 + (-1)/((-6)/468). Let j = 20 + q. Calculate the remainder when j is divided by 13.
12
Let b = 11778 + -11690. What is the remainder when b is divided by 65?
23
Let t(v) = 2*v**3 + 82*v**2 + 224*v - 21. What is the remainder when t(-36) is divided by 53?
52
Let q(k) = -k - 1. Let w be q(-16). Suppose -w = 5*h, -f + 104 = 7*h - 2*h. Calculate the remainder when f is divided by 25.
19
Suppose -g + 60 = 2*g. What is the remainder when ((-45)/(-25))/(12 - (7 + 2))*360 is divided by g?
16
Let j(y) = 36*y**3 - 2*y**2 + 2. Let q be j(-1). Calculate the remainder when ((-4)/(-5))/(1/15) is divided by -5*q/15 + -5.
5
Let r be 1/(-3) - 5547/(-9). Suppose j + 4*j - 5*s - 160 = 0, -2*s + 98 = 4*j. Calculate the remainder when r/12 - 4/(-6) is divided by j.
25
Suppose -5*c + 110 = 5*p, c + 5*p - 8 = -10. Suppose -u - 16 - 5 = 0. Let x = c + u. Calculate the remainder when 10 is divided by x.
3
Suppose -5*w = 3*j - 78, -2*j = 3*w - 2*w - 17. Let l(k) = -k**3 + 5*k**2 - 4*k + 29. What is the remainder when l(4) is divided by w?
14
Let v(l) = -29*l - 1. Let w be v(7). Let d = w - -228. Calculate the remainder when 47 is divided by d.
23
Let m(l) = l**3 - 5*l**2 - 7*l + 7. Suppose 5*s - 1543 = -4*r - 508, -5*s + 3*r = -1000. Let x = -200 + s. Calculate the remainder when x is divided by m(6).
0
Suppose 4*r + 12 = 0, 0*j - 2*j = 5*r + 9. Let s(y) = 22*y - 11. Let k be s(j). Let h = 74 - k. Calculate the remainder when 46 is divided by h.
8
Suppose 88*v + 819 + 245 = 96*v. Calculate the remainder when 4388 is divided by v.
132
Suppose 53*v = 55*v. Suppose -36*f + 449 - 161 = v. What is the remainder when 95 is divided by f?
7
Suppose 2*j = 4*x + x - 71, 43 = 4*x + 3*j. Suppose x*q - 17*q = -592. Suppose 5*f - q = -18. Calculate the remainder when 76 is divided by f.
24
Suppose -9*h - 1 - 35 = 0. Let n(l) = -4*l - 10. Let i be n(h). Suppose -i*b = 8*b - 196. What is the remainder when 41 is divided by b?
13
Suppose 11*r - 23576 = -17*r. Let y = r + -774. Let g(z) = 11*z + 1. What is the remainder when y is divided by g(2)?
22
Let j be (-24)/18*(22/(-4) + 1). Suppose -j*o + 13 + 5 = 0. Calculate the remainder when 8 + (o - (-5 + 3)) is divided by 12.
1
Let h = 8358 - 8282. What is the remainder when 547 is divided by h?
15
Let z = -8349 - -9450. Calculate the remainder when z is divided by 97.
34
Let y(p) = 2*p - 5. Suppose -67*l = -72*l + 15. Suppose -30 = -2*k - 2*r, 3*k - l*r + 2*r = 57. What is the remainder when y(k) is divided by 13?
5
Let c(q) = -q**2 - 12*q + 5. Let k be c(-12). Suppose 3*l = 2*g + 31, k*g + 8 - 41 = -l. Calculate the remainder when l is divided by 11.
2
Let f(m) = 5*m**2 - 1. Let k be f(2). Let o = k - 13. Suppose -4*i + 2*n = -6, 63*n = -2*i + 66*n - 3. Calculate the remainder when o is divided by i.
0
Let i(u) = 2*u - 45. Let o be i(25). Suppose o*y - 68 = -18. What is the remainder when 29 is divided by y?
9
Suppose -4*y + 4*a = 896, 4*a + 342 + 124 = -2*y. Let t = -209 - y. What is the remainder when 124 is divided by t?
16
Let c = -258 + 421. Suppose 0 = -3*z + c + 107. Calculate the remainder when z is divided by 13.
12
Let n(a) = a**3 - 12*a**2 - 30*a + 35. What is the remainder when 5366 is divided by n(14)?
4
Suppose -92*w + 150*w - 2030 = 0. What is the remainder when (0 - -60) + -1 + 1 is divided by w?
25
Let b be -5*(6/18)/(2/(-6)). Suppose 5*h - 4*f - 85 = 0, -3*h - 17 = -4*h - b*f. What is the remainder when 91 is divided by h?
6
Let f(u) = -96*u + 3. Suppose 3*d + 45 - 8 = 5*n, 28 = -2*d + 4*n. Calculate the remainder when f(-1) is divided by d/(-10)*(2 - (-3 + -45)).
19
Let z(j) = -8*j**3 - 3*j**2 + 3*j. Let c be z(1). Let w(a) = a**2 + 23*a + 140. What is the remainder when 95 is divided by w(c)?
15
Let n be 4/(-4) + 3 + -7. Let b be 1*6 - (n + -2 + 4). Suppose -t - 37 = -v + b, -2*v + 5*t + 92 = 0. What is the remainder when v is divided by 17?
12
Suppose -240227 = -415*q + 109618. What is the remainder when q is divided by 282?
279
Let a = -10 + -2. Let g = a - -40. Suppose -7*b + 24*b = 901. What is the remainder when b is divided by g?
25
Let l(c) be the first derivative of 2*c**3/3 + 5*c**2 + 8*c + 121. Suppose 4*u - 22 = -5*t - 59, -5*u = 15. Calculate the remainder when 22 is divided by l(t).
6
Let x(f) = -f**3 - 3*f**2 + 7*f + 2. Let k = 14814 - 14781. Calculate the remainder when k is divided by x(-5).
16
Let u(m) = 1173*m + 80. Calculate the remainder when u(7) is divided by 12.
11
Let s = -41 - -44. Suppose 178 = s*r + 7. Calculate the remainder when r is divided by 24.
9
Suppose 5*d - 166 = 24. Let x = 12 + d. Suppose 5*f - 5*c = 140, 0 = 119*f - 118*f - 3*c - 32. Calculate the remainder when x is divided by f.
24
Suppose 21 = 5*y + 4*a, -18*y + 15*y + 4*a = -19. Suppose -i + 4 = r - 3, -31 = -y*i - 4*r. What is the remainder when (1 + 1)*(-3)/(-2) is divided by i?
0
Calculate the remainder when 76*(714/84 - 3*1) is divided by 56.
26
Suppose 21*s = 24*s - 168. Suppose -8*q + s + 120 = 0. Calculate the remainder when 64 is divided by q.
20
Suppose -229*p - 409*p + 89208 = -107*p. What is the remainder when 600 is divided by p?
96
Let d be -2 + (-180)/(-15)*(-2)/(-3). What is the remainder when 96 is divided by ((-2)/8*-12)/(2/d)?
6
Suppose 3855 = 26*r - 1449. Suppose 2*d + 14 = r. Suppose -2*i + 4*f + 80 = 0, 0*f = 2*i - f - 92. Calculate the remainder when d is divided by i.
47
Suppose 0 = -12*m + 7*m + 2*n + 2, 0 = 5*m + 3*n - 22. What is the remainder when (4 + m + -5)/(21/9723) is divided by 78?
73
Suppose 106 - 38 = k + 4*u, 0 = -3*k - 3*u + 168. What is the remainder when 391 is divided by k?
27
Suppose -20 + 74 = 3*t. Suppose 30*x - 28*x - 112 = 0. What is the remainder when (293 + 1)*(x/(-21))/(-4) is divided by t?
16
Suppose 2152*k - 2150*k - s = 423, -3*k + 2*s + 635 = 0. What is the remainder when k is divided by 66?
13
Suppose 2*v - x - 788 = 1127, -950 = -v - x. Calculate the remainder when v is divided by 33.
31
Let l = 0 + 4. Suppose -7*h + 5*x = -l*h - 78, 5*h = -5*x + 90. Calculate the remainder when 76 is divided by h.
13
Calculate the remainder when 180/45 - (0 - -1)/((-5)/185) is divided by (3 - 0/4) + 1.
1
Let f = -2 - -4. Suppose -32 = 25*w - 107. Let g(z) = z**3 - 3*z**2 + 2*z + 3. What is the remainder when g(w) is divided by f?
1
Let k = 80 - 119. Let c = 39 + k. Suppose 0*d + h + 355 = 5*d, c = -2*d - 4*h + 142. Calculate the remainder when d is divided by 18.
17
Suppose -78*o - 125820 = -348*o. What is the remainder when o is divided by 18?
16
Suppose 5*t - 1131 - 909 = 0. Let b = t + -394. What is the remainder when 148 is divided by b?
8
Calculate the remainder when 9196 is divided by ((-377)/(-1508))/((-57)/(-28) - 2) - -1.
4
Let j be (-40)/70 - (84216/(-14))/6. Let z = j - 993. What is the remainder when 69 is divided by z?
6
Suppose -2*x - 136 = -2*y, 0*x - 263 = -4*y - 5*x. What is the remainder when (-4 + 7)/(1 - 64/y) is divided by 20?
7
Let a(x) = -22*x + 208. Let u be a(6). Calculate the remainder when (28 - 27) + u + (1 - 1) is divided by 16.
13
Suppose -24 - 4 = 2*k - 2*y, -46 = 3*k - 5*y. Let o be (-236)/(-3) + 0 - k/9. Let l = -42 + o. What is the remainder when l is divided by 3?
2
Let x(i) = -3*i - 7. Let f be x(-9). Suppose w - f = 18. Suppose 86 = 4*j + 46. Calculate the remainder when w is divided by j.
8
Suppose -141 = 41*j - 46*j + 3*g, 4*g = -3*j + 73. What is the remainder when 399 is divided by j?
21
Let c = -847 + 850. Suppose 4*b - 6*b = -c*o - 28, -o + 24 = b. What is the remainder when 195 is divided by b?
15
Let y = -697 + 712. Calcul