0*n - 51 = 0. Suppose 2*z + q = 3*f, 0 = -4*z + f - 26 - 95. What is the remainder when 97 is divided by ((-136)/(-51))/((-4)/z)?
17
Let q(j) = j**2 - 45*j + 460. What is the remainder when 90 is divided by q(31)?
12
Let m = -3 - 0. Let i(l) = l**3 - 9*l**2 + 42*l + 47. What is the remainder when i(5) is divided by 1/m - 121/(-3)?
37
Calculate the remainder when 125 is divided by (8 + 513/(-54))*272/(-6).
57
Let o = -34 - -46. Suppose 7*h - 77 = 6*h. Suppose h*z - 102 = 71*z. What is the remainder when z is divided by o?
5
Let h(b) = -12*b + 57. Suppose 0 = -63*z + 59*z. Calculate the remainder when h(z) is divided by 25.
7
Let y = 6166 - 6129. Calculate the remainder when 88 is divided by y.
14
Let k = 89 + 4. Suppose k*l - 240 = 88*l. Calculate the remainder when 110 is divided by l.
14
Suppose 2*t - 4 - 8 = 0. Suppose 2*h - 4 = -n - t, 0 = 3*n - 4*h - 34. Calculate the remainder when 234/(-702) + 43/3 is divided by n.
2
Calculate the remainder when 260 is divided by 2/26 + 20*3796/1690.
35
Let u = -46 - -87. Let z be ((-135)/(-40) + -3)*8. Suppose 148 = z*f - w - 91, -2*f = -3*w - 150. What is the remainder when f is divided by u?
40
Let i = -17 + 33. Let k(u) = -1793*u + 19849. Calculate the remainder when k(11) is divided by i.
14
Suppose -g - 10*v - 6 = -6*v, v = 1. Calculate the remainder when g/(-30) - (-74)/3 is divided by 21/(1/((-4)/(-6))).
11
Let y = 1678 + -1377. Calculate the remainder when y is divided by 19.
16
Let c = -1896 + 2199. What is the remainder when 609 is divided by c?
3
Suppose 4*t - 9*t + 2*q + 462 = 0, 0 = 3*t + 5*q - 271. Let b = 63 + -54. What is the remainder when t is divided by 144/b*1/1?
12
Suppose 36*n - 2113 = -144*n + 3287. Calculate the remainder when 35 is divided by n.
5
Let n(b) = -52*b**3 - 1. Let l = 400 + -239. Calculate the remainder when l is divided by n(-1).
8
Let h(x) = -3*x**3 - 4*x**2 - 24*x - 44. Suppose -3 = d - 5. Suppose -d*p = -103 + 13. What is the remainder when p is divided by h(-2)?
9
Let r = 5 + -14. Let x be (-1*12/14)/(r/42). Suppose -5*f + x*f = -2. Calculate the remainder when 4 is divided by f.
0
Let p = 20 + -13. Let y(r) be the second derivative of -r**4/12 - 5*r**3/3 - 15*r**2/2 - 22*r. What is the remainder when p is divided by y(-7)?
1
Suppose 3*z + 0*z = 87. Suppose 3*p = 2*p + z. What is the remainder when (55746/(-1304))/((-24)/64) is divided by p?
27
Suppose -4*q + 0*q - y + 313 = 0, -3*q + y = -240. Suppose q*z = 74*z + 215. What is the remainder when 81 is divided by z?
38
Suppose 11*y - 225 = 6*y. Suppose 5*f + 2*i = -3*i + y, -2*f = 5*i - 3. Let a(z) = -4*z + 29. What is the remainder when a(-6) is divided by f?
11
Let g = 2 + 3. Suppose -f = g - 17. Suppose 468 + 372 = 20*v - 5*v. What is the remainder when v is divided by f?
8
Suppose -3*b + 3*c - 870 = 0, -b + 8*c - 11*c - 274 = 0. Let t = b + 305. Calculate the remainder when 109 is divided by t.
14
Suppose -233*m = 3*y - 237*m - 32, -m = -2*y + 18. Calculate the remainder when 1798 is divided by y.
6
Suppose z - 11*z = 2510. Let k = z + 286. Calculate the remainder when 44 is divided by k.
9
Suppose -8*t - 3*t + 1557 = 3*d, 12 = 4*t. What is the remainder when d is divided by 107?
80
Let d(y) = -5*y - 4. Let z(w) = -2*w**2 - 18*w + 3. Let n(p) = -p**2 - 14*p - 27. Let a be n(-12). What is the remainder when z(a) is divided by d(-5)?
18
Calculate the remainder when 2003 is divided by 34748/595 - 6/(-10).
56
Suppose -17*d + 18*d = -5*y + 86, y = 4*d - 260. Suppose 0 = u + u. Suppose u = -5*n + 5, -4*f + d + 21 = 3*n. What is the remainder when 40 is divided by f?
19
Let n = -17 + 31. Suppose -27*y - 1988 = -20*y. Let r = y + 338. What is the remainder when r is divided by n?
12
Suppose -4*m + 957 + 573 = 262. Calculate the remainder when m is divided by 12.
5
Suppose -9 = 3*u - 4*c, u + 4*c + 7 = 4. Let s(n) = -3*n + 10. What is the remainder when 85 is divided by s(u)?
9
Let b(m) = 38*m - 229. Suppose 3*i = 2*t + 19, -2*i + 2*t + 14 = 2. What is the remainder when b(i) is divided by 8?
5
Suppose 3*b = -27, -25941 = -10*h + 4*b + 68845. What is the remainder when h is divided by 206?
205
Suppose -132 = 5*j + 2*k, j = -3*j + k - 116. Let y be -6 + 110/(-2) + 12. Let u = j - y. What is the remainder when 208 is divided by u?
19
Suppose -4078*b = -4051*b - 2835. What is the remainder when b is divided by 55?
50
Suppose -t - 4*w = -144, -3*t - 506 = -7*t - 2*w. Suppose -3*b - 62 = -4*y + 18, -y - 2*b + 9 = 0. Calculate the remainder when t is divided by y.
5
Suppose 0 = 5*z + 3*v - 92, 3*z + 5*v - 39 - 29 = 0. Let w = -175 + 127. Let x = -3 - w. Calculate the remainder when x is divided by z.
13
Let k(r) = -25*r**3 + 4*r**2 - 4*r + 9. Calculate the remainder when k(-4) is divided by 113.
107
Let k = -8470 + 8502. Calculate the remainder when 376 is divided by k.
24
Let z be 39 + 2 - (-3 - -8). Let y = 134 + z. Calculate the remainder when y is divided by 44.
38
Let x be (-16)/(-104) + 210/(-13). Let h = -1641 + 1678. Calculate the remainder when x/56 + (-1031)/(-7) is divided by h.
36
Let t(p) = p**3 + 7*p**2 - 9*p + 3. Let u be (272/(-85))/(4/10). Calculate the remainder when t(u) is divided by 7.
4
Let j = -11127 - -12671. What is the remainder when j is divided by 22?
4
Let g = 38 + -35. Suppose -1286 = -3*k - l, -g*k + 63*l - 65*l = -1288. What is the remainder when k is divided by 36?
32
Suppose 12*c + 26 = 14. What is the remainder when c + 109 + -1 - (3 + -1) is divided by 36?
33
Let s = 177 + -61. Let c = 138 - s. Let p(b) = -b**3 + 8*b**2 + 4*b + 1. Calculate the remainder when p(4) is divided by c.
15
Suppose -f - 5*y = -21, -5*f + 5*y + 265 = 70. Calculate the remainder when f is divided by 9.
0
Suppose -17*r + 795 + 1725 - 72 = 0. Calculate the remainder when 176 is divided by r.
32
Let h(g) = -g**2 - 13*g - 30. Let s be h(-11). Let u be (s/12*-8)/((-2)/(-15)). Calculate the remainder when 14 is divided by ((-4)/5)/(-1*4/u).
6
Suppose -r - 5*v + 119 = 0, 0*v + 535 = 5*r + 5*v. Suppose -107*x = -108*x + 36. Calculate the remainder when r is divided by x.
32
Let t be (-234)/45 + 7 + (-2)/(-10). Suppose 2*f - 38 = -5*u - 2*f, -4*f - t = u. What is the remainder when u is divided by 9?
1
Suppose 3*w + 36*t - 109 = 22*t, -32 = -4*w + 4*t. Suppose -20 = -2*f + 80. What is the remainder when f is divided by w?
11
Suppose -18*l + 10*l - 338129 = -67*l. Calculate the remainder when l is divided by 13.
11
Let g(l) = 3*l + 59. Suppose -4*q = 81 - 17. Calculate the remainder when 18 is divided by g(q).
7
Let r(z) = -z**2 - 10*z + 6. Let a be (-18)/4*4/2. Let o be r(a). Suppose 10*d - 7*d - o = 0. What is the remainder when d is divided by 4?
1
Let k(n) = 5*n**3 + 73*n**2 + 216*n + 7. Calculate the remainder when k(-5) is divided by 10/(-95) + 1258/38.
28
Let o(a) = -3*a**3 - 4*a**2 - 3*a + 3. Let q be o(-2). What is the remainder when 393/q + (-4)/34 is divided by 17?
6
Let p be ((-15)/6 - -5)*2. Suppose 3*a = -p*x + 151, -2*x + 58 = a + 9. Calculate the remainder when a is divided by 21.
15
Let h(b) = 35*b - 242. What is the remainder when 329 is divided by h(8)?
25
Let q(w) = -w**3 - 6*w**2 + 5*w. Let z be q(-6). Let p = 26 + z. Let f(j) = j**2 - 10*j - 9. What is the remainder when f(p) is divided by 6?
5
Let m = -3989 + 4035. Calculate the remainder when 723 is divided by m.
33
Let c(z) = z**3 - 10*z**2 - 15*z - 45. Let k be c(13). Suppose f + 3 + 124 = 0. Let p = f + k. Calculate the remainder when p is divided by 18.
14
Let k(a) be the first derivative of 7*a**2/2 - 18*a + 79. Calculate the remainder when 162 is divided by k(8).
10
Let x(c) = 4*c - 15*c + 52 + 6 + 9*c. What is the remainder when x(7) is divided by 13?
5
Suppose 11*b = 13*b - 4. Suppose b*z = z + 145. Suppose 5*j - 2*d = z, 4*j + j = -2*d + 125. Calculate the remainder when 78 is divided by j.
24
Calculate the remainder when 1449 is divided by -12 + -1 + 9 + (43 - -2).
14
Suppose 0 = 3*j - 99 + 30. Let s = 371 - 105. Suppose s*p - 42 = 263*p. What is the remainder when j is divided by p?
9
Let u = 30 - 27. Let o(c) = -c + 3. Let l(y) = -2*y + 4. Let v(d) = -4*l(d) + 3*o(d). What is the remainder when 63 is divided by v(u)?
7
Let u(c) = -3*c**3 - 4*c**2 - 9*c - 10. Calculate the remainder when 3242 is divided by u(-2).
10
Let y = -109 + 14