t z(m) = -m**2 + 22*m + 20. Let f(k) = k**2 + 21*k - 24. Let j be f(-23). Suppose -39 = -5*i + 21. What is the remainder when z(j) is divided by i?
8
Suppose -3*k + 61 = -2*k. Suppose 0 = -17*q + 13014 - 3001. Suppose -6*v - q = -5*h - 3*v, v = -5*h + 597. What is the remainder when h is divided by k?
58
Suppose -574 = -3*t + 233. Suppose 15 = a - 0. Calculate the remainder when t is divided by a.
14
Suppose -13 = -4*x - 28*o + 23*o, -5*x = 4*o - 41. Suppose 2*q - 1296 = -180. What is the remainder when q is divided by x?
14
Suppose -4*m + 0*x = 5*x - 3288, -5*x + 6556 = 8*m. What is the remainder when m is divided by 91?
89
Let y(z) = -z**3 - 10*z**2 - 13*z + 19. Let v be y(-8). What is the remainder when 2 - ((v - -5) + -16) is divided by 11 - (4/4 + -1)?
7
Suppose -8*a - 21 = -a. Let o be ((-4764)/20)/a + 9/15. Suppose -5*w + f - 5*f + 191 = 0, 2*w - o = 2*f. What is the remainder when 115 is divided by w?
37
Let o be 2/(-6)*(-297 - 5 - 7). Let t = o + -87. Let v = -92 + 138. Calculate the remainder when v is divided by t.
14
Let t = -14103 + 14118. What is the remainder when 800 is divided by t?
5
What is the remainder when 1429627/1293 + 2/(-3) + (-2 - -3) is divided by 58?
4
Suppose 4*d - 45 = -d. Suppose 0 = -3*x + 58 + 38. Suppose 5*a = -3*f + x + 31, -2*f + 5*a + 67 = 0. Calculate the remainder when f is divided by d.
8
Suppose -8*w + 97*w = 3204. Let b = 41 - 22. Calculate the remainder when w is divided by b.
17
Let a(f) = -26*f + 2 - 5*f**2 + 0*f**2 + 0*f**2 + 4*f**2. Calculate the remainder when 12 is divided by a(-26).
0
Let p(m) = -278*m + 101489. Suppose -76 + 624 = f. Calculate the remainder when f is divided by p(365).
16
Suppose -a = 3*p - 26, -9*p = -5*p - 4*a - 24. Let u(h) = 6*h - 19. Calculate the remainder when u(p) is divided by 7.
1
Let a(l) = l**2 - 67*l + 868. What is the remainder when 252 is divided by a(16)?
44
Let i(f) = -35*f**2 + f**3 - 20*f**2 - 16 + 25*f**2 + 2*f**2 + 54*f. Calculate the remainder when i(26) is divided by 10.
6
Let m(p) = 24*p**2 + 8*p + 6*p + 5 - 4*p - 3*p. Let s be m(-2). Let w = 1 + s. What is the remainder when w is divided by 23?
19
Let i be (-9*(-8)/84)/((-3)/(-21)). Let b = -78 - -166. What is the remainder when b is divided by 15*1 - (7 + -7)/i?
13
Let s = -5654 - -5951. What is the remainder when s is divided by 31?
18
Let a(z) = -5*z**3 - 2*z - 1. What is the remainder when 128 is divided by a(-2)?
42
Let r be (-6)/(-66) + (-147)/(-77). What is the remainder when 171 is divided by r/(456/(-1290) + (-2)/(-5))?
42
Suppose -86*p = -144*p + 13224. Calculate the remainder when p is divided by 62.
42
Let r(d) = 362*d**2 - 16*d + 67. What is the remainder when r(-8) is divided by 66?
65
Let h(i) = -5*i - 12. Let b = 20 - 26. What is the remainder when 89 is divided by h(b)?
17
Let r = 467 - 429. Calculate the remainder when 415 is divided by r.
35
Let v = -251 - -285. Suppose -v*d + 16*d + 1026 = 0. What is the remainder when 223 is divided by d?
52
Let f(t) = 42*t - 817. Calculate the remainder when f(29) is divided by 67.
66
Suppose -1363 = -12*k + 221. Suppose -20 - 20 = -4*m. Suppose -m*b + 28 = -k. Calculate the remainder when 46 is divided by b.
14
Let c(m) = 256*m**2 - 5*m - 5. Calculate the remainder when c(-1) is divided by 75.
31
Suppose -6*g = -12*g. Suppose -2*d = -g*d - 8, 231 = c + 4*d. Calculate the remainder when c is divided by 73.
69
Let s(d) = 2*d**2 - 2*d + 9. Let u be s(4). Suppose 2*x = y - 29, u = -5*y - x + 134. Calculate the remainder when y is divided by 11.
10
Let l be -6*(-6 - -4)*1. Suppose 2*n - 5*n = -l. Suppose n*g - 52 = -2*m + 8*g, 5*m = 5*g + 130. Calculate the remainder when m is divided by 13.
0
Suppose -138*r - 3*t + 166 = -134*r, -t - 45 = -r. What is the remainder when 597 is divided by r?
38
Let w = -1673 - -3260. Calculate the remainder when w is divided by 27.
21
Let z = 10916 - 10895. Let k = -111 + 192. What is the remainder when k is divided by z?
18
What is the remainder when 3/6*(-164)/(-2) is divided by (918/(-54) - 185/5)*1/(-3)?
5
Suppose 4*t - 4*g - 1561 = -t, -2*t = 2*g - 628. Suppose 4*d - t - 127 = 0. Let w(n) = 2*n**2 - 54*n - 232. What is the remainder when d is divided by w(31)?
14
What is the remainder when 4729 is divided by (-1)/(-16 - -4 - 465/(-39))?
10
Let g(a) = 1289*a + 18008. What is the remainder when g(-12) is divided by 53?
49
Let r(y) = 3*y**2 - 6*y + 5. What is the remainder when r(6) is divided by 8/(-3 + 1) + (31 - 15)?
5
Suppose 671*c = 662*c + 75915. Calculate the remainder when c is divided by 38.
37
Suppose -2471 = 63*s - 18599. Calculate the remainder when 1030 is divided by s.
6
Suppose 3*m - 46 = -55, 2*y - 967 = m. Calculate the remainder when y is divided by 43.
9
Suppose -110*w + 4*q - 18 = -115*w, 6 = -w - 4*q. What is the remainder when 254 is divided by w?
2
Suppose 27*l = 23*l + 300. Let o(n) = n**3 + 6*n**2 - n - 1. Let i be o(-7). Let c = i + l. Calculate the remainder when c is divided by 11.
10
Let c = -142 - -45. Let g = 104 + c. Calculate the remainder when 26 is divided by g.
5
Suppose 0 = -1207*o + 1197*o + 80. Suppose 4*d - 3*c - 41 = 0, 0 = -3*d - 2*c - 13 + 31. What is the remainder when 201/7 + d/28 is divided by o?
5
Let d = -5961 + 6041. What is the remainder when 559 is divided by d?
79
Let z = 1586 + -1541. What is the remainder when 87 is divided by z?
42
Suppose -264712 = 195*n - 521*n. Calculate the remainder when 4879 is divided by n.
7
Let g = 57 - 54. Suppose 92 = 4*h + 4*l, g*l - 137 = -4*h - 46. What is the remainder when 1 - (-64 - 0/(8/4)) is divided by h?
21
Suppose -2*c = -2*j - 4, -5*j + 4*j + 13 = 2*c. Suppose -42 = -c*r - v, 2*r - 22 = -4*v + 2. Calculate the remainder when (0 - -39)/((-3)/(-3)) is divided by r.
7
Suppose 3*d - 94*f + 97*f = 324, -d + 84 = -3*f. What is the remainder when d is divided by 29?
15
Let x = 15222 - 15173. What is the remainder when 2104 is divided by x?
46
Let u be -3 + (-52)/(-10) + 9/(-45). Suppose 3*z - u*s = 118, -4*s - 24 = -3*z + 92. What is the remainder when 109 is divided by z?
29
Suppose -1465*v + 47897 + 10024 = -1336*v. Let o(g) = -g**3 - 5*g**2 - 8. What is the remainder when v is divided by o(-7)?
89
Let o = -35 - -47. Calculate the remainder when o is divided by ((-5)/(-4))/(225/1080).
0
Let u(p) = -42*p + 9. Let k be u(-2). Let q = -83 + k. Calculate the remainder when q is divided by 1.
0
Calculate the remainder when 77 + -16 + 3 - (-8)/(4/2) is divided by 19.
11
Let a(w) = 23*w**2 + 79*w - 84. Calculate the remainder when a(8) is divided by 14.
4
Let b(z) = -12*z**3 + z**2 - z. Let d be b(1). Let t(s) = -7*s + 107. What is the remainder when t(8) is divided by ((-40)/(-12))/((-2)/d)?
11
Let g = 562 - 562. Suppose -5*t + 20*t - 2715 = g. Calculate the remainder when t is divided by 48.
37
Suppose -4484 = 19*q - 6308. Let w = -22 - -55. What is the remainder when q is divided by w?
30
Suppose 1080 = -3*u - 21*u. Let f(g) = -g**3 - 47*g**2 - 92*g - 87. Let s = 26 - 18. What is the remainder when s is divided by f(u)?
2
Let p(u) = u + u + 3*u + 13 + 13. Calculate the remainder when 35 is divided by p(-4).
5
Suppose -48 = 40*l - 46*l. Suppose 19*p - 198 - 372 = 0. What is the remainder when p is divided by l?
6
Let u = 1592 + -1433. Calculate the remainder when 1097 is divided by u.
143
Suppose 0*u - u = z + 12, 2*u - 18 = z. Let h = z + 17. Suppose 2*r - 28 = -4*o, h*r - 7 = 6*o - 5*o. What is the remainder when 18 is divided by o?
3
Let h(j) = -16*j + 134. Calculate the remainder when h(-3) is divided by 38.
30
Let d = -2191 - -2666. Calculate the remainder when d is divided by 37.
31
Suppose 0 = 4*o - 1224 - 1140. Suppose -178 = 7*b - o. Let u = -31 + 52. What is the remainder when b is divided by u?
17
Let w be (-10)/(-3)*(6 + -9). Let z = 86 + w. Let g(o) = 31*o**2 + 9*o + 5. Calculate the remainder when z is divided by g(-1).
22
Suppose 782*s + 15318 = 819*s. Calculate the remainder when s is divided by 141.
132
Suppose 0 = 11*k + 17*k - 114604. What is the remainder when k is divided by 16?
13
Let p(c) be the third derivative of c**4/12 + 8*c**3/3 - 25*c**2. Let q be p(-4). Calculate the remainder when (2/(-3))/(q/(-1212)) is divided by 21.
17
Suppose -28*z - 8*z = -39*z + 339. What is the remainder when 348 is divided