(-8) is divided by 34.
27
Let y(x) = 0*x**2 - 365 - x**2 + 427 - 9*x. Suppose -3*j + 25 + 20 = 0. What is the remainder when y(-10) is divided by j?
7
Suppose 40*d - 544 - 136 = 0. Suppose -5*t = 4*x - 508, -t + 398 = 3*t - x. Calculate the remainder when t is divided by d.
15
Let w(j) = j**2 - 4*j. Calculate the remainder when 60 - ((-1)/3*-6)/(-1) is divided by w(-3).
20
Suppose -27*n + 3*p = -26*n - 3010, -5*n - 3*p + 15032 = 0. What is the remainder when n is divided by 86?
83
Let m = -422 - -291. Let u = -99 - m. What is the remainder when 222 is divided by u?
30
Let h be -2*(22/(-12) - 4/6). Suppose u - 641 = -4*o, 0 = h*u + 3*o - 504 - 2616. What is the remainder when u is divided by 104?
101
Let k(f) = f**2 - 13*f - 5. Let x be k(14). Suppose x + 6 = -3*v. What is the remainder when 2/v - (-394)/10 is divided by 14?
11
Suppose 5*w + 3*a - 3804 = 0, -5*a - 2296 = w - 4*w. What is the remainder when ((-8)/(-24))/(2*1/w) is divided by 4?
3
Let h(m) = -54*m + 1196. Suppose -5*u + 3*l = -u - 53, -4*l + 60 = 4*u. What is the remainder when u is divided by h(22)?
6
Suppose -655*y + 3*h + 1066 = -653*y, -5*y + 5*h + 2665 = 0. What is the remainder when y is divided by 172?
17
Suppose 548 = 4*n - 3*s - 632, 5*n = 2*s + 1468. Let a = n + -228. What is the remainder when a is divided by 4?
0
What is the remainder when 1052/(11/(-44)*-4) is divided by 31?
29
Let t(g) = 47*g + 10. Let a be 21/(-7) - 2/(2/(-449)). Suppose -9*b = -4 - a. What is the remainder when t(4) is divided by b?
48
Let g = 10000 - 9727. Calculate the remainder when 19927 is divided by g.
271
Let c = 5839 - 5010. What is the remainder when c is divided by 8?
5
Let q(k) = -k**3 - 14*k**2 - k - 11. Let v be q(-14). Suppose 2*m + 147 = v*o + 16, -4*m = o - 25. What is the remainder when 121 is divided by o?
39
Let b(j) = 5*j - 12. Suppose -5*g - 3*i - 48 = 0, 2*i + 24 + 14 = -4*g. Let l be b(g). Let u = -41 - l. What is the remainder when 95 is divided by u?
15
Let y = -6980 + 7084. Let l be 127/3 - (-3)/(-9). Suppose -m - m = -l. What is the remainder when y is divided by m?
20
Let f(c) = -2*c**2 + 89*c + 380. Calculate the remainder when f(47) is divided by 31.
21
Suppose 0 = -853*q + 832*q + 546. Suppose -2*p + 148 = 2*u, 5*u + 4*p - 38 = 330. What is the remainder when u is divided by q?
20
Suppose -910*q = -1825*q + 905*q + 10430. Calculate the remainder when q is divided by 60.
23
Suppose 3328 = 5*i - 4*q, 13*q = 2*i + 12*q - 1333. Calculate the remainder when i is divided by 24.
20
What is the remainder when 3860 - ((-56)/(-16) + 7/(-2)) is divided by 14?
10
Let t(r) = -432*r + 4341. What is the remainder when 3415 is divided by t(10)?
13
Let s be (3 - 115)*(-1)/(-1). Let b = -7 - s. Suppose 9*k - 2538 = -85*k. Calculate the remainder when b is divided by k.
24
Let l(f) = 2*f**3 + 6*f**2 + 14*f + 2. Calculate the remainder when l(5) is divided by 94.
2
Suppose -3*o + 0*a = 5*a + 4, o + 8 = -5*a. Let i(k) = -4*k**2 + 5*k**2 + 9*k - 1 - 2*k**o. Calculate the remainder when i(4) is divided by 4.
3
Let h(i) = 5*i + 139. Let k(r) = -16*r - 90. Let q be k(-4). Calculate the remainder when 15 is divided by h(q).
6
Let l(k) = k**2 + 4*k + 4. Let i be l(-4). Suppose i*c + q - 450 = 295, 2*c - 5*q - 389 = 0. What is the remainder when c is divided by 9?
7
Let r = 37 - 24. Let z be r/7 + (-27)/(-189). Suppose -38 = -4*w - z*u, 2*w + u - 21 = 2*u. Calculate the remainder when 29 is divided by w.
9
Let c(j) = -51*j**3 - 5*j**2 + 4*j + 14. Calculate the remainder when c(-2) is divided by 69.
49
Let i(o) = 3059*o + 13363. Calculate the remainder when i(-4) is divided by 6/21 + (-1312)/(-14).
93
Calculate the remainder when 360 is divided by -79*((-16)/(-12))/(-4)*3.
44
Let c(x) = 39*x**2 + 11*x - 22. Suppose -11*f + 153 - 120 = 0. Calculate the remainder when c(f) is divided by 52.
50
Suppose 0 = 3*j - 3*w - w - 22, 4*j = -2*w. Suppose 0 = 198*p - 190*p. Suppose 21*i - 34*i + 13 = p. Calculate the remainder when j is divided by i.
0
Let x(s) be the second derivative of -s**4/6 - 10*s**3/3 - 9*s**2/2 - 17*s. What is the remainder when 183 is divided by x(-8)?
22
Let v be (-6)/(-4)*(-9 - 23). Let r = 65 + v. Calculate the remainder when 62 is divided by r.
11
Suppose -10*c + 7 = -13. Calculate the remainder when -6 + 4 + c + (-159)/(-3) is divided by 11.
9
Suppose -8*i = 2*i - 3550. Suppose 1 = -3*d + i. What is the remainder when d is divided by 40?
38
Let p = 39 - 17. Suppose -117 = 4*s - 89, -4*x + s = -335. What is the remainder when x is divided by p?
16
Let d be (-38)/(-3) + 3/((-27)/6). What is the remainder when 21/(-28) - (-3 + 542/(-8)) is divided by 61/3 + (-4)/d?
10
Suppose 4*b - 6*m = -5*m + 33170, 2*m - 33176 = -4*b. What is the remainder when b is divided by 136?
133
Let b = 920 + -4944. What is the remainder when b/(-16)*1 - (-1)/(-2) is divided by 42?
41
Suppose 0 = -14*n + 10*n - 160. Let g be n/2 - -3 - 3. Calculate the remainder when 21 is divided by (g/8 - -3) + (-46)/(-4).
9
Suppose 3*h - 2*g - 1097 = -772, 0 = h - 3*g - 106. What is the remainder when 747 is divided by h?
93
Suppose 0*y - 5*y - 130 = 0. Let m = 50 + y. Let c(s) = -s - 5. Calculate the remainder when m is divided by c(-18).
11
Let y(n) = n**2 - 7*n - 20. Let w be y(8). Calculate the remainder when 81 is divided by w/4 + -2 + 45 + 4.
37
Suppose 122*f - 129*f + 98 = 0. Let g(o) = o**2 - 12*o - 20. Let h(u) = 26*u**2 - 2*u - 1. What is the remainder when h(-1) is divided by g(f)?
3
Suppose -368 = -y - 3*y + 2*j, 8*y + 5*j - 754 = 0. Calculate the remainder when 414 is divided by y.
42
Suppose 0 = v - 4 - 13. Let z be 15*(0 + -3 + 5). Suppose -h - 3*j + z = 0, -2*j - 5 = -7*j. Calculate the remainder when h is divided by v.
10
Let d(h) = -2*h**2 + 5*h - 37. Let k be d(7). What is the remainder when (567/15)/((-20)/k) is divided by 50?
39
Let o = -7 + 35. Suppose 5 = 2*f - 11. Suppose -6*c = -f*c + 30. What is the remainder when o is divided by c?
13
Let y(b) = -600*b - 7729. Calculate the remainder when y(-17) is divided by 821.
8
Let l be (-10)/4 - 177/6. Let v = l + 47. What is the remainder when 70 is divided by v?
10
Suppose 7*t - 48133 = -120*t. Calculate the remainder when 857 is divided by t.
99
Let v(i) = 952*i + 9595. What is the remainder when 1497 is divided by v(-10)?
72
Suppose -2*c + 0*c + k + 11 = 0, 7 = c - 2*k. Let u = -3 + 6. Let j = 6 - u. Calculate the remainder when c is divided by j.
2
Let c(s) = s**3 - 18*s**2 - 559*s - 14. What is the remainder when 245 is divided by c(-16)?
19
Let f(i) = 1193*i - 3567. What is the remainder when 898 is divided by f(3)?
10
Let c(v) = 137*v + 1564. What is the remainder when c(1) is divided by 213?
210
Suppose g - 116 = -3*z - 30, 5*z - 120 = 3*g. Let k = z - 24. Suppose -j - 50 = -k*j. Calculate the remainder when 149 is divided by j.
24
Suppose 2*r + 3*u - 195 = 0, 2*r - u + 2*u - 205 = 0. Suppose 0 = 4*s - 12 - 116. Let k = -20 + s. What is the remainder when r is divided by k?
9
Let h = 112 - 112. Suppose 2 = 2*w, -4*q + 5*w + 36 + 7 = h. Calculate the remainder when 33 is divided by q.
9
Let p(u) be the first derivative of -4*u**4 - 2*u**3/3 + 3*u**2 + 5*u - 58. What is the remainder when p(-2) is divided by 37?
2
Let z be 10/(-15) - (-340)/15. Calculate the remainder when 11/z - ((-123)/2 - 3) is divided by 22.
21
Let m(b) = b**2 + 38*b + 294. What is the remainder when 1495 is divided by m(-35)?
172
Let z(l) = -l**2 - 22*l + 57. Calculate the remainder when z(-10) is divided by 54.
15
Suppose -24 = 5*p - 129. Suppose 5243 - 1343 = 13*n. Suppose -7*m + 2*m = -n. Calculate the remainder when m is divided by p.
18
Let y(q) = -9*q - 4. Calculate the remainder when 31 + (2 - (-4 + (-156)/(-12))) is divided by y(-2).
10
Let g(l) = -4*l - 7*l + 8*l**2 + 7 + 2*l + 5 + l**3. Let r(q) = 9*q**2 + 49*q + 11. Let x be r(-5). Calculate the remainder when 34 is divided by g(x).
10
Let g = 118 - 44. Suppose -432 = -6*x - 10*x. What is the remainder when g is divided by x?
20
Let l(p) be the first derivative of -p**2 + 22*p - 6. What is the remainder when l(0) is divided by ((-7)/7*13)/(-1)?
9
Let u = 1747 - 700. Calculate the remainder when u is divided by 15.
12
Suppose -7*w + 12*w = -15. Let h(l) = 41*l**3 - 2*l**2 + 5*l - 3. Let s be h(w). What is the