et x(o) = 2*o**3 - 34*o**2 - 2*o + 30. Let n(g) = -3*i(g) + 2*x(g). What is the remainder when 46 is divided by n(-34)?
4
Let j(u) = u**3 + 2*u**2 - u + 9. Let g be j(0). Suppose r + 24 = g*r. Calculate the remainder when 5 is divided by r.
2
Let p = -5779 - -5812. What is the remainder when p is divided by 6?
3
Suppose -5*h - 4*s = -14210, -3*h - 17*s = -18*s - 8509. Calculate the remainder when 196 is divided by (-1)/2 + -1 - h/(-132).
16
Let v = -176 - -205. Calculate the remainder when (52/(-6))/(8/(-48)) is divided by v.
23
Suppose -4231 = -t - 1566. Calculate the remainder when t is divided by 86.
85
Let b(n) = 147*n + 748. What is the remainder when 185 is divided by b(-4)?
25
Let k(p) = p**2 + 4*p + 3. Let n be k(-3). Suppose n = 10*t + 2*t - 744. Calculate the remainder when t is divided by 8.
6
Suppose -10*q - q = -33. Suppose 0 = 5*v - q*l - 122, 5*v + 9*l - 130 = 4*l. What is the remainder when 195 is divided by v?
20
Let p = 204 - 200. Suppose -p*z + 1295 = 5*n, 6*z - 10*z = -3*n + 809. Calculate the remainder when n is divided by 66.
65
Suppose -8*v = -9 - 15. Suppose -5*b + 106 = -v*b. What is the remainder when b is divided by 13?
1
Suppose 1616 = 3*y - 985. Suppose 25*j = 8*j + y. Let w = j - 29. Calculate the remainder when w is divided by 13.
9
Suppose 4*i + 4*t - 6396 = 0, i - t - 776 = 811. What is the remainder when i is divided by 114?
111
Let h = 924 + -862. What is the remainder when 92 is divided by h?
30
Calculate the remainder when (7 + (-136)/16)*(-286)/3 is divided by 17/2 - (-3)/6.
8
Let b be (3757/(-39))/(-17) - (-2)/6. Let d = b - -6. What is the remainder when 129 is divided by d?
9
Suppose 8*y = 21*y + 53*y - 5016. Calculate the remainder when y is divided by (10/(-3))/((-1)/9).
16
Let x = -264 + 266. Suppose -5*m + 12 = -3*h + 77, x*h - 48 = m. What is the remainder when 107 is divided by h?
7
Let z(y) = -5960*y**3 - 4 - y**2 - 3*y + 5976*y**3 + 9*y. Calculate the remainder when 60 is divided by z(1).
9
Suppose -39*l + 4*p = -35*l - 60, -4*p - 46 = -3*l. Calculate the remainder when l is divided by 75/20 - 1/(-4).
2
Suppose 0 = 2*m - 5*m + 9. Suppose 4*k = 5 - 1. Let v(p) = 8*p**3 - 2*p**2 + 1. Calculate the remainder when v(k) is divided by m.
1
Suppose 5*m = 3*j + 379, 227 = 3*m + j - 3*j. What is the remainder when m is divided by -12*(-2 - (8 - 17) - 150/18)?
13
Suppose -64 = 4*g + 5*o - o, -60 = 5*g + o. What is the remainder when 98 is divided by (-3)/((-9)/(-15)) + (4 - g)?
8
Suppose 8*j - 13*j = -2*g + 31, -4*g - j + 7 = 0. Suppose 17 = f + 5*c - g, 2*f - 28 = 2*c. What is the remainder when 989 is divided by f?
14
Let y be -3*10/(-3)*(-192)/(-20). Let v be (-6 + y/20)/((-1)/45). Suppose 3*g - v = -3*n, 3*g - n = -2*n + 62. What is the remainder when 107 is divided by g?
19
Let g(w) be the second derivative of w**4/12 - w**3/3 - w**2 + 9*w. Let o be g(6). What is the remainder when 32 is divided by 2*o/(-8)*-2?
10
What is the remainder when 1783 is divided by (-102)/(-8 - -25) + 15 + 1?
3
Suppose -697 - 283 = -2*j + 5*h, -1916 = -4*j - h. Let u = j - 431. Calculate the remainder when 341 is divided by u.
47
Let w(y) = y**2 - 15*y + 74. Let r be w(12). Suppose -4*z - 5*b = -r, -4*z + 41 = 2*b + 9. What is the remainder when 19 is divided by z?
5
Let m = -1091 - -3941. Calculate the remainder when m is divided by 23.
21
What is the remainder when 13 is divided by (84/(-60))/(8/(-40))?
6
Suppose 417*k + 233805 = 482*k. What is the remainder when k is divided by 50?
47
Suppose 0 = -460*m + 458*m + 1012. Suppose -494*n - 120 = -m*n. Suppose -4*x + 149 = 5*v, -2*x + 7*v + 67 = 2*v. What is the remainder when x is divided by n?
6
Let l(u) = -u**3 + 5*u**2 + 7*u - 1. Suppose -6*s - 10*s - 160 = 0. Calculate the remainder when (1 - 2)*220/s is divided by l(6).
2
Let o = 1495 - 1380. What is the remainder when 481 is divided by o?
21
Let h = -186 + 171. Let g = -11 - h. Calculate the remainder when g is divided by 4.
0
What is the remainder when 144 is divided by (((-243)/(-18))/27)/(5/1330)?
11
Let c(q) = q + 21. Let n be c(-11). Suppose -n*d = -5*d - 190. Calculate the remainder when d is divided by 14.
10
Suppose -316*c + 205617 = -986019. What is the remainder when c is divided by 31?
20
Let a = -4452 + 4475. Calculate the remainder when 411 is divided by a.
20
Suppose 4*c - 244 = -2*s, -889*s - 665 = -894*s + c. What is the remainder when 1447 is divided by s?
127
Let k = 910 + -343. Suppose -18*c = -52*c + 646. What is the remainder when k is divided by c?
16
Suppose -5*j = -3*u - 10, -5 = j - 4*j + 2*u. Suppose 28 = -b + 4*p + 79, 5*b = j*p + 255. Calculate the remainder when b is divided by 30.
21
Let s(d) = -8*d**2 - 2*d + 7. Let a be s(4). Let i = a + 190. Calculate the remainder when i is divided by (0 + 3)*62/6.
30
Let s = 1451 + -1447. What is the remainder when 28 is divided by s?
0
Suppose -2*m - 4546 = -4*f, 2*f - 1475 = 4*m + 819. Calculate the remainder when f is divided by 37.
23
What is the remainder when 841 is divided by 4 - ((-3)/(18/14))/((-81)/(-243))?
5
Let l = 841 + -817. What is the remainder when 3286 is divided by l?
22
Suppose b = b + b. Let w be 140/21*(b + (-3)/(-2)). Calculate the remainder when 70*-1*(-12)/w is divided by 17.
16
Let j = -32544 + 32580. Let u(c) = 21*c**2 + c + 2. Calculate the remainder when u(-2) is divided by j.
12
Let m(u) = -4*u - 9. Let w be m(-3). Let r be (-5)/(-5)*2*w*2. Suppose r = -2*o + 2, -60 = -5*n - 4*o. What is the remainder when 61 is divided by n?
13
Let l(f) = -f**3 + 3*f**2 + 7*f + 9. Calculate the remainder when 751 is divided by l(-3).
37
Let z = -620 - -627. Suppose 355 = -3*r + z*r - 3*i, 3*r - 260 = i. What is the remainder when r is divided by 18?
13
Let j(h) = -150*h + 1080. Calculate the remainder when 905 is divided by j(6).
5
Let r(f) = 15*f + 153. Suppose -4*b - 19*v + 24*v - 51 = 0, -3 = -v. What is the remainder when ((-42)/(-5))/(6/100) is divided by r(b)?
14
Let b = 3654 - 3576. What is the remainder when 216 is divided by b?
60
Let a = 13067 - 13019. What is the remainder when 5229 is divided by a?
45
Let m(k) = -k**2 + 30*k - 228. Let o be m(17). Let l(n) = -2*n**2 - 22*n - 32. What is the remainder when 284 is divided by l(o)?
20
Let b(w) = -13*w - 26. Let v be b(-9). Suppose -4*n = 3*j - 185, 0*n = -2*n - 3*j + v. Calculate the remainder when n is divided by 25.
22
Let n(o) = o + 68. Suppose -6 = 3*v - 4*j, v + 0*v + 5*j = -2. Let h be 5/v + 3 + (-68)/8. What is the remainder when 118 is divided by n(h)?
58
Let h = 395 - 304. Calculate the remainder when h is divided by 4*(-2)/(-12) - (-1164)/36.
25
Suppose 130*o - 126*o + 1364 = 0. Let u = 359 + o. Calculate the remainder when 338 is divided by u.
14
What is the remainder when (-396)/(-3762) + (-42176)/(-38) + -2 is divided by 43?
33
Suppose -5*u + 381 = 6*m - 7*m, 397 = 5*u + 3*m. What is the remainder when u is divided by 10?
7
Suppose -3*b + 2 = -p + 23, 63 = 3*p - b. Suppose -41*t = 4*v - 39*t - 24, 3*v - 21 = -3*t. Calculate the remainder when p is divided by v.
1
Let h = -35 - -55. Suppose -4*g - 12 = 0, 4*o - 4*g = 19 - 7. Suppose o = 4*f - 144 - 0. What is the remainder when f is divided by h?
16
Suppose 2*a - 2*w = 402, -13*w - 12 = -11*w. What is the remainder when a is divided by 28?
27
Suppose -19 + 21 = -a, 0 = -2*k + 3*a + 6. Suppose 2*m = k, 2*m + 0 = -2*j + 58. What is the remainder when 30 is divided by j?
1
Let u = 3668 + -3053. Calculate the remainder when u is divided by 13.
4
Suppose -2*h + 7*h + 24 = j, 2*h = -4*j + 140. Let b = j - 42. Let k(s) = 2*s**3 + 16*s**2 - 3*s - 8. What is the remainder when k(b) is divided by 9?
7
Let g = 0 + 42. Calculate the remainder when 193 is divided by g.
25
Suppose -2*y + 16*y = 42. Suppose -4*o + 31 = 3*r, 4*o - y*r = 2 - 1. Calculate the remainder when o is divided by ((-4)/10)/(1/(-5)).
0
Let f(d) = -9*d**2 - 7*d - 10. Let q be f(7). Let o = 565 + q. Calculate the remainder when o is divided by 11.
10
Let c be 45/(-6)*1/((-2)/4). Suppose -3*u - c = -5*d + 180, 4*d - 3*u - 153 = 0. Calculate the remainder when 93 is divided by d.
9
Let w(j) = 53*j + 2. Suppose 12*r - 16*r = -16. Suppose -42 = -r*c + c. What is the remainder when w(1) is divided by c?
13
Suppose -5*x + 689 = 3*m, 6*m + 2*x = m + 1161. What i