 15 = 5*l. Suppose -5*v + 3 + 82 = l. Calculate the remainder when v is divided by 9.
8
Suppose 113032 + 98270 = 218*a + 56958. What is the remainder when a is divided by 9?
6
Suppose -2*o = 3*h - 49, 2*o = -5*h - o + 81. Let s(q) = -2*q**3 - 60*q**2 - 67*q - 244. What is the remainder when s(-29) is divided by h?
2
Let q(j) = 2*j**3 + 2*j - 19. Let w be q(-7). Let n = w + 763. Calculate the remainder when 260 is divided by n.
40
Let w = -446 - -563. Calculate the remainder when 6900 is divided by w.
114
Let c(g) = 10*g - 3. Let p(x) = -x**2 + 24*x + 165. Let q = -1126 - -1149. What is the remainder when p(q) is divided by c(3)?
26
Suppose -3*a = 5*w - 396, -2*a + 10*w = 9*w - 264. Calculate the remainder when 525 is divided by ((-16)/48)/((-2)/a).
19
Suppose -c + 2 = -5*s, -184 = -4*c - s - 134. What is the remainder when 265 is divided by c?
1
Suppose -584 = -4*m - 140. Suppose 20*v - 12*v = -240. Calculate the remainder when m is divided by 30 + 5/(v/12).
27
Let i = 20419 + -20351. What is the remainder when 217 is divided by i?
13
Suppose 0 = -7*l + 10*l - 12. Calculate the remainder when 19 is divided by ((-6)/24)/(-1*l/128).
3
Let f(l) = 3*l**2 - 11*l - 34. Let a be f(-6). Suppose -12*g - 80 + a = 0. Calculate the remainder when 218 is divided by g.
3
Suppose 0 = -3*o - 3, -4*o = -h + 2*h + 11. What is the remainder when -9 - (h - 112) - 1 is divided by 38?
33
Suppose 15 = 16*r - 33. Suppose 0 = r*p + p + 2*v - 66, 0 = 5*v + 5. Calculate the remainder when 34 is divided by p.
0
Let p(x) = -27*x - 85. Let v be p(14). Let n = 481 + v. What is the remainder when 31 is divided by n?
13
Let p(y) = y + 27. Let j = -14 + 78. Let d = 54 - j. What is the remainder when p(d) is divided by 4?
1
Let h = 59 + -55. Suppose 0*v + 180 = h*v. What is the remainder when (0 - -1)*-2 + 177 is divided by v?
40
Let f(n) = 2*n**2 + 53*n + 633. Calculate the remainder when f(-23) is divided by 75.
22
Let i be -2*4 + 3 + 1. Let m = i + 39. Let q(d) = -6*d - 39. What is the remainder when m is divided by q(-8)?
8
Let u = 96 + -54. Let v = 307 + -315. Calculate the remainder when u is divided by (v/(-3))/(105/(-18) - -6).
10
Let v = 603 - 868. Let w = 277 + v. What is the remainder when (-8)/20 + (-234)/(-10) is divided by w?
11
Let c(a) = 5*a**2 + 2*a. Let y be (0/((-25)/5))/2. Suppose y = f - 0*f + 5. Calculate the remainder when c(f) is divided by 39.
37
Let i(j) = -j**2 + 15*j - 46. Let r be i(10). Suppose r*c - 64 - 244 = 5*h, -12 = -3*h. What is the remainder when c is divided by 22?
16
Suppose -4*n + 3*k = 8*k - 9362, n - 2294 = 22*k. What is the remainder when n is divided by 579?
22
Suppose -108 = -a + 5*a. Let l = 29 + a. What is the remainder when 17 is divided by l - (-8)/(-3)*-3?
7
Let f be (-8 - 0/(-1))*(-1)/2. Suppose 4*i = -j + 2*j + 73, 0 = 3*i - 4*j - 58. Calculate the remainder when i is divided by (210/(-14))/((-6)/f).
8
Suppose 3*i = 77 + 208. Let z(m) = m**2 - 2*m + 19. What is the remainder when i is divided by z(5)?
27
Suppose 0 = -4*a - 3*d + 165, 3*d - 271 = -2*a - 196. What is the remainder when 498 is divided by a?
3
Let x(j) = 15*j**2 + 2*j - 4. Let n be x(4). Suppose -y = -4*d - n, -4*y - 5*d + 1036 = -d. Calculate the remainder when y is divided by 43.
41
Let u(p) = 3*p**2 - 4*p - 64. Let z be u(7). Suppose z = 8*i - 241. Calculate the remainder when 39 is divided by i.
2
Let p be (-31)/4*-4 + 1 + -1. Let o = p + -11. Let j = 156 - 99. What is the remainder when j is divided by o?
17
Let c = -984 + 1008. Calculate the remainder when ((-3)/(-27)*3)/(6/828) is divided by c.
22
Let a be (-105)/25 + (-8)/(-40). What is the remainder when (1 + 146/a)*(28 - 36) is divided by 13?
11
Suppose w = -3*u + 12, 4*w + 15 = 3*u + 6*w. Suppose -4*z = 20, -u*k + 5*k = z + 23. Calculate the remainder when 53 is divided by (-18)/((-42)/k + 3 + 1).
26
Let l(a) = -a**2 - 35*a - 221. What is the remainder when l(-26) is divided by (-207)/(-18) + (-2)/(-4)?
1
Let i be (-51)/119 - (10618/(-14) + -2). Suppose i + 1375 = 5*t. What is the remainder when t is divided by 33?
31
Let u(s) = s**3 - 16*s**2 - 64*s - 145. What is the remainder when 4896 is divided by u(20)?
171
Suppose 4*d = -2*j - 133 + 311, j = 3*d - 146. What is the remainder when 288 is divided by d?
6
Let q(n) = n**3 - 52*n**2 - 364*n + 935. Let x(d) = 4*d**2 - 4*d - 1. What is the remainder when x(-3) is divided by q(58)?
5
Let c = -18819 + 18853. Calculate the remainder when 546 is divided by c.
2
Suppose -5*w - 4*u = 324, 3*w + 3*u = 7*u - 188. Calculate the remainder when 93 is divided by w*8/64*-4.
29
Suppose -975 = 7*k + 3*d - 3276, -2*k = -3*d - 642. Calculate the remainder when 2254 is divided by k.
292
Suppose 13*g = 14*g - 280. Suppose 1580 + g = 15*b. Calculate the remainder when b is divided by 14.
12
Let o be (-16)/(6 + 200/(-32)). Suppose -o*u + 3870 = -46*u. What is the remainder when u is divided by 34?
11
Let a(x) = x**3 + 25*x**2 + 21*x - 19. Let s(n) = -n - 18. Let i = 38 + -32. Let p be s(i). What is the remainder when a(p) is divided by 19?
15
Suppose -10*o = -2 - 28. Suppose j = -5*y + 70, 4*j = -0*y - o*y + 25. What is the remainder when 11 is divided by (6/y)/((-4)/(-60))?
5
Suppose 63 = -4*v + 23*v - 32. What is the remainder when 3884 is divided by v?
4
Suppose 6*w - 29 = 5*w. Let o = -29 + w. Suppose -23 = -2*q - 3*i, -2*q + o*i + 3 = -i. What is the remainder when q is divided by 4?
0
Suppose 0 = 5*v + 57 - 82. Let m(o) = o**2 + o + 1. Calculate the remainder when m(v) is divided by 7.
3
Let l(n) = -17*n - 133. Let z be l(-8). Suppose z*i = 2*x - 148, -x + 83 = i + 2*i. Calculate the remainder when x is divided by 41.
36
Calculate the remainder when 75 is divided by 23 - (2 + -6 + 4).
6
Suppose 349*c - 6047 + 1510 = 0. Suppose 464 = 2*y + 2*y. Calculate the remainder when y is divided by c.
12
Let i = -172 + 186. Let z(u) = u**2 - 15*u + 32. What is the remainder when 161 is divided by z(i)?
17
Suppose 2 = 15*p + 2. Let f(k) = p*k**3 + 68 + k - 2*k**3 + 5*k - 7*k. What is the remainder when f(0) is divided by 14?
12
Suppose 0 = 5*v - 2*c - 18, 3*v + 7*c = 3*c - 10. Suppose -4*s = -3*j + 205, 4*j + 4*s - v*s - 266 = 0. Calculate the remainder when 265 is divided by j.
64
Let i(o) = o**3 + 16*o**2 + 13*o - 8. Let c be -3*5/75 - (-296)/(-20). What is the remainder when 60 is divided by i(c)?
16
Let q be (-4878)/(-21) + -5 + (-4)/14. Suppose -m - q = -4*m - 4*a, 4*m - 2*a = 266. Calculate the remainder when m is divided by 53/3 - (-3)/9.
15
Suppose -6*j + 2*y - 5*y + 91044 = 0, y - 45521 = -3*j. Calculate the remainder when j is divided by 28.
25
Let a(w) = 3*w**3 - w**2 - 10*w + 3. Let g be 58/14 - (130/(-70) + 2). What is the remainder when a(g) is divided by 20?
19
Let w(u) = 25*u + 1223. What is the remainder when 124 is divided by w(-46)?
51
Let j = 2619 - 2385. Calculate the remainder when 511 is divided by j.
43
Let v = -120 + 120. Suppose -3*s - 5*t + 59 = v, -s + 4*t = -2*s + 29. Suppose -10*u + s*u = 132. Calculate the remainder when u is divided by 8.
4
Let m(w) = -2*w**2 + 24*w - 9. Suppose 11 = -2*u + 119. Suppose -u = -9*v + 36. Calculate the remainder when 154 is divided by m(v).
30
Let i(b) = -5*b - 55. Let n be i(-15). Calculate the remainder when 39 is divided by 15/n*4 + (-7)/(-1).
9
Suppose -24*u - 660 = -4*u. Calculate the remainder when 38 is divided by (u/55)/(1/(-20)).
2
Let p be ((-378)/(-30) - 9)/(6/(-20)). Suppose 4*o - 207 = -0*o + 3*m, -5*o + 4*m + 259 = 0. What is the remainder when o is divided by (-154)/p - 9/(-54)?
12
Suppose 8*i - 24*i + 1600 = 0. Suppose 0 = 4*z + 4*y - 56 - i, -3*z = -5*y - 77. Calculate the remainder when z is divided by 18.
16
Suppose 0*x + 3*d - 61 = -5*x, -4*x + 3*d = -38. Let p = -271 - -362. Let n = p - 61. What is the remainder when n is divided by x?
8
Let w(h) = 4*h - 4. Let y be w(2). Let z = 38 - y. Let b = 178 - 160. Calculate the remainder when z is divided by b.
16
Let o(i) = i**2 + 12*i - 6. Let r be o(-4). Let s = r + 63. Suppose 5*z - 120 = 4*z. What is the remainder when z is divided by s?
20
Let p(t) = -t**3 - 44*t**2 - 50*t + 77. Let d be p(-43). Suppose 37 = 379*q - d*q. Calculate the remainder when 73 is divided by q.
36
Suppose 0 = -5419*i + 5422*i - 311 - 526. Calculate the remainder when 11