lculate the remainder when 104 is divided by p.
49
Suppose 3*m = 3*v - 264, 0 = 12*m - 17*m - 20. Calculate the remainder when 582 is divided by v.
78
Suppose 1452*x - 1482*x + 1530 = 0. Calculate the remainder when 660 is divided by x.
48
Let n = -3913 - -3974. Calculate the remainder when n is divided by 31.
30
Suppose -2*n + 11*k - 694 = 7*k, 5*n = 3*k - 1707. Let p = 465 + n. What is the remainder when p is divided by 64?
62
Suppose -3*u + 4*x + 146 = 0, -5*x = -3*u - 6*x + 166. Suppose -1164619*o - 318 = -1164621*o. Calculate the remainder when o is divided by u.
51
Let f(i) = 54*i - 22. What is the remainder when 1742 is divided by f(5)?
6
Suppose -63 = -2*y + 5*f, -38 = -3*y - 3*f + 4. Suppose 3*c + y - 13 = 0. Let b(q) = -38*q + 7. Calculate the remainder when b(c) is divided by 17.
15
Let a be (2/4)/(7/28). Calculate the remainder when (2 - a)/(-5) - -3 - -59 is divided by 16.
14
Let m(n) = n**2 - 47*n + 730. What is the remainder when m(25) is divided by 71?
38
Let n(z) = 46*z**2 + 14*z + 66. Calculate the remainder when n(-3) is divided by 74.
68
Let n(c) = -10*c - 260. Let x be n(-35). Calculate the remainder when (-3)/(-2) + 8415/x is divided by 32.
31
Let l = -178 + 226. Let q = 82 - l. What is the remainder when q is divided by 21?
13
Suppose 7*b - 345 = 96. Suppose 2*t = 2*r + 76, -2*r + t = -2*t + 80. Let f = b + r. Calculate the remainder when f is divided by 10.
9
Let g(q) = -89*q**3 + 7*q**2 - 8*q + 3. Calculate the remainder when g(-3) is divided by 29.
28
Let l = 1 - 12. Let u = l + 19. Suppose 0 = -6*g + 190 + u. Calculate the remainder when 128 is divided by g.
29
Suppose 14 = 3*v - 115. Let m(z) = z**2 - 5*z - 13. Let d = 66 - 70. Calculate the remainder when v is divided by m(d).
20
Let s(f) = 48*f - 510. What is the remainder when 245 is divided by s(13)?
17
Let t(c) = 36*c**3 + 9*c**2 - 38*c + 32. What is the remainder when 1664 is divided by t(2)?
264
Suppose 0 = -4*f + 2*h + 28, 4*f + 5*h - 73 = -3. Calculate the remainder when 368 is divided by f.
8
Suppose 265*b = 242*b + 92. Calculate the remainder when 90 is divided by b.
2
Let b = 5345 + -4614. Calculate the remainder when b is divided by 92.
87
Let b = 519 - 517. Suppose 4*f - 671 = -g, -367 + 33 = -2*f - b*g. What is the remainder when f is divided by 13?
12
Suppose -3*n = 0, -5*n - 23 - 85 = -3*y. Suppose 13*s - y = s. What is the remainder when 11 is divided by s?
2
Let f be ((-1 - (4 + -2)) + 3)/3. Suppose f = -2*d + 7*d - 15. Suppose -j - d*j + 248 = 0. What is the remainder when j is divided by 11?
7
Calculate the remainder when (0 - 10)/((-14)/518*1) is divided by 6.
4
Suppose -5*x - 82 = -z - 39, 0 = -z + 4*x + 43. Calculate the remainder when 1203 is divided by z.
42
Let h(g) = g**2 + 212*g + 10690. What is the remainder when 2128 is divided by h(-130)?
28
Let m = -2209 - -7484. Calculate the remainder when m is divided by 58.
55
What is the remainder when 3660/(-488)*(-218)/3 is divided by 28?
13
Let w = 1474 - 710. Suppose 5*p - s = 2185, 4*p = 2*s - w + 2512. Calculate the remainder when p is divided by 44.
41
Let p(c) = -c**3 - 9*c**2 - 7*c + 6. Let b be p(-8). Let y = 4884 + -4879. What is the remainder when 7 - ((-2 - b) + 2) is divided by y?
0
Let b = -950 - -1265. Calculate the remainder when b is divided by 113.
89
Calculate the remainder when (793 + -319)/((-2)/(-17)) is divided by 62.
61
Calculate the remainder when (202*(-3)/33)/(48/(-528)) is divided by 39.
7
Let a = -5368 - -7010. What is the remainder when a is divided by 53?
52
Let v = -38 + 46. Let x be v - 3 - 3 - -43. Suppose 0 = 2*l - x + 7. Calculate the remainder when 55 is divided by l.
17
Let b be 19/7 + (5 - 297/63). Suppose -b*a + 151 = -4*n, -5*a - 5*n + 273 = -n. Calculate the remainder when 264 is divided by a.
52
Suppose -2028 = -13*n + n. Suppose n*y - 174*y + 85 = 0. Calculate the remainder when 84 is divided by y.
16
What is the remainder when 195/(-9)*(-336)/8 is divided by 114?
112
Let d(x) = 4*x**2 - 11*x - 4. Let j be d(5). Let k = -36 + j. Suppose 4*u + 131 = k*u. Calculate the remainder when u is divided by 33.
32
Suppose 2*p = 4*f - 6, -6 + 1 = p. What is the remainder when -2*(1 - (-15)/(-10)) - f is divided by 2?
0
Let z(u) = -60*u + 1295. What is the remainder when z(-90) is divided by 186?
185
Let c be (82/8)/((-1)/(-4)). Let w be 1592/24 + 4/(-3). Let h = w - c. Calculate the remainder when h is divided by 19.
5
Let l be (-17)/17 - 3/((-3)/(-34)). Let v = 51 + l. Suppose 4*h - 12 = 0, w + 3*h + 369 = 4*w. Calculate the remainder when w is divided by v.
14
Let d(h) = h**3 + 14*h**2 + 11*h + 14. Let r(g) = -2*g - 12. Let p be r(-7). What is the remainder when (21/(-35))/(p/(-530)) is divided by d(-13)?
39
Let w(j) = 15*j**2 + 3*j - 8. Let o be w(6). Suppose 4*a - o = -a. Calculate the remainder when a is divided by 0 + 5/(10/56).
26
Suppose -6*g + 5*i = -7*g + 175, 3*g = 5*i + 465. Let m be (12/5)/(12/g). What is the remainder when 43 is divided by ((-57)/38)/(1 + (-34)/m)?
19
Suppose 3*q + j - 151 = -0*q, 2*j - 94 = -2*q. Let h = 172737 - 172534. What is the remainder when h is divided by q?
47
Let v(l) be the second derivative of l**4/12 - 4*l**3/3 - 41*l**2/2 - 89*l + 1. What is the remainder when 95 is divided by v(13)?
23
Let p(v) = -3*v**3 + 225*v**2 + 5*v - 57. Calculate the remainder when 948 is divided by p(75).
312
Let m = 7532 + -7521. What is the remainder when 1384 is divided by m?
9
Let s = 275 + -251. Let r(n) be the first derivative of -n**4/4 - 2*n**3/3 - n**2/2 + 9*n + 17. Calculate the remainder when r(-4) is divided by s.
21
Let h(f) = 2*f**2 + 22*f - 126. Let z(s) = s**3 + 20*s**2 + 15*s - 9. Calculate the remainder when h(-18) is divided by z(-19).
59
Let w(r) = 1 + 5 + 5 - 3 + 5*r + 3. What is the remainder when w(2) is divided by 14?
7
Calculate the remainder when 1934 is divided by 188/(-329)*(-8 - -1) - -40.
42
Let o = -7137 + 7281. Calculate the remainder when 27215 is divided by o.
143
Let i(v) = -17*v + 21. Let c be i(1). Suppose h + h + c*o = 70, 0 = 2*h + o - 61. What is the remainder when h is divided by -5*((-8)/(-10) + -2)?
5
Suppose -293*c + 316*c - 1127 = 0. What is the remainder when 99 is divided by c?
1
Let r(j) = j - 10. Let k be r(8). Let d be (1 + -6)*k/(-2). Let u(b) = -b**3 - 3*b**2 - 11*b - 17. Calculate the remainder when u(d) is divided by 15.
13
Suppose -g = 4*c - 121 - 91, 5*g + 5*c = 1060. Calculate the remainder when g is divided by 26.
4
Suppose -29*x = -24*x - 25, -3*c + 71 = -5*x. Suppose -5*g = -4*d + 183, g = -0 + 5. Calculate the remainder when d is divided by c.
20
Let u(x) = 5*x**2 + 11*x - 9*x**2 - 1 - 6 - 5*x**2. Let z(p) = 4*p**2 - 6*p + 3. Let y(w) = -3*u(w) - 7*z(w). What is the remainder when 55 is divided by y(7)?
13
Let m(b) = 8*b + 123. Let w be m(-15). Suppose 0 = w*g - 2*n - 2*n - 19, -3*n = -g - 2. Calculate the remainder when 32 is divided by g.
6
Let l = 572 + -560. Calculate the remainder when (1 + -47)/(-1)*1 is divided by l.
10
Suppose 286*q = 300*q - 1050. What is the remainder when 1271 is divided by q?
71
Let b(q) = -339*q - 226. What is the remainder when b(-8) is divided by 619?
10
Let p = -321 - -367. Calculate the remainder when p is divided by 669/45 - (-6)/45.
1
Let t(n) = -n**2 - 12*n**2 + 26*n**2 + 30*n + n**3 + 17. What is the remainder when 60 is divided by t(-10)?
9
Let u(b) = b**3 + 9*b**2 + 19*b + 274. Calculate the remainder when 300 is divided by u(-9).
94
Suppose -3*x + 367 = -4*f, 6*f + 16 = 2*f. Let w = x - 54. Calculate the remainder when w is divided by 48.
15
Let z(q) = -q + 66. Suppose 309 = 3*k - b, 138 = -4*k + 2*b + 552. Let y = k + -68. What is the remainder when z(0) is divided by y?
32
Suppose o - 6 = 0, 95*v - 1596 = 92*v - 5*o. What is the remainder when v is divided by 8?
2
Let q(j) = -j**3 - 6*j**2 + 3*j + 9. Let m = 413 + -342. Calculate the remainder when m is divided by q(-7).
34
Let d(c) = 5*c**2 + 229*c - 74. Calculate the remainder when d(-47) is divided by 56.
40
Suppose -16*p + 5*p = 22. Let w(l) = 4*l**2 + 8*l + 19. What is the remainder when 33 is divided by w(p)?
14
Suppose 0 = -5*t + 20, -t + 167 = 5*j - 3*t. Suppose u = 4*u + 2*w - 348, w - 233 = -2*u. Calculate the remainder when u is divided by j.
13
Let s be ((-32)/12 + (-4)/(-