 = -3*f + 6*s, x*f + 5*s = 121. Calculate the remainder when f is divided by 15.
13
Suppose -5*d + 2*h + 219 = 0, -4*d - 2*h + 186 = -0*h. Suppose 0 = 3*p - 7*f + 3 - 26, -2*f = 5*p - 11. Calculate the remainder when d is divided by p.
0
Suppose 0 = -28*k - 7*k + 13230. Suppose 0 = -4*v, -k = -2*n + 4*v - 8*v. Calculate the remainder when n is divided by 24.
21
Let l(p) = -p. Let n(o) = 1. Let r(w) = -3*l(w) - 3*n(w). Let c be r(-3). Calculate the remainder when 138 is divided by (-286)/(-6) - c/(-18).
44
Let g = -36932 + 38626. Calculate the remainder when g is divided by 72.
38
Let u = -189 - -369. What is the remainder when 186 is divided by (-138)/(-4) + (-450)/u?
26
Let z be 10/2*62/2. Suppose 6*u - u - z = 0. Suppose y = 0, -3*q + 6*q = 3*y - 8*y + 549. What is the remainder when q is divided by u?
28
Let t = -71 + 102. Let f(n) = n**3 + 12*n**2 + 9*n - 9. Let j = -37 + 28. What is the remainder when f(j) is divided by t?
29
Let m(w) = w + 97. Let a(g) = -g**2 + 13*g - 24. Let u be a(10). Suppose 0 = u*j - 154 + 4. Calculate the remainder when m(27) is divided by j.
24
Let h be (-6)/8 + (-138)/8. Let u(z) = z - 1. Let b(f) = 4*f + 29. Let c(a) = b(a) - 6*u(a). What is the remainder when c(h) is divided by 18?
17
Let h(s) = -s**3 + 112*s**2 + 343*s + 263. Calculate the remainder when 298 is divided by h(115).
1
Suppose -52 = -2*n - q - 29, -5*q = -3*n + 67. Calculate the remainder when 58 is divided by n.
2
Suppose 5*r - 285 = -l, 0 = 4*r + 28*l - 32*l - 228. Calculate the remainder when 93 is divided by r.
36
Let g be (-2 + (1 - 0))*-1. Let v = 18 + g. What is the remainder when (-5865)/782*88/(-12) is divided by v?
17
Suppose 11*s = -j + 13*s + 259, -3*s = j - 269. Calculate the remainder when j is divided by 80.
23
Let b(d) = d**2 + 4*d - 7. Let l = 191 - 181. What is the remainder when (-1169)/(-14) - l/4 is divided by b(-7)?
11
Let j = -70 - -88. Let o(a) = 12*a + 104. What is the remainder when o(15) is divided by j?
14
Let s = 8580 - 8483. Suppose 0 = -k + 3*f + 2, -5*k + 3*f + 52 = -6. What is the remainder when s is divided by k?
13
Let y(a) = -12*a - 304. Let z be y(-30). Suppose 0 = -67*m + z*m + 1089. Calculate the remainder when m is divided by 26.
21
Let s(p) be the first derivative of -41*p**2/2 + 108*p + 139. Calculate the remainder when 257 is divided by s(2).
23
Let d = -18 + 23. Let q(y) = 10*y - 15. Let v(l) = -2*l**2 - 33*l + 26. What is the remainder when v(-12) is divided by q(d)?
29
Suppose 5*u = -a + 47, 3*a + 0*u - 141 = 4*u. Suppose 0 = 3*z + a*q - 50*q - 54, 3*z - 5*q = 60. Calculate the remainder when 101 is divided by z.
11
Let m be (-290)/75 - -4 - (-3392)/(-15). Let z = m - -280. Calculate the remainder when 104 is divided by z.
50
Let c = -246 - -396. Suppose -5*w - 5*u = -c, w - 3*u = -u + 45. Calculate the remainder when 25 is divided by (-6)/10 - (-511)/w.
11
Let k(t) = -3*t**2 - 29*t - 81. Let z be k(-18). Let o = z - -570. What is the remainder when o is divided by 11?
6
Suppose 3*u + 525 - 651 = 0. Suppose 0 = 4*v + d - 207, 3*v = -5*d + 126 + u. What is the remainder when 150 is divided by v?
48
Let u(s) = -11*s + 7. Suppose 1 - 6 = 5*g. What is the remainder when 31 is divided by u(g)?
13
Suppose 20*p + 635 = 2*n + 21*p, 25 = -5*p. Calculate the remainder when n is divided by 81.
77
Suppose 0 = -577*p + 1170852 + 2149206. What is the remainder when p is divided by 639?
3
Suppose -40*c + 103 = -417. Calculate the remainder when 7969/39 + (-1)/3 is divided by c.
9
Suppose -29*v + 60 = -9*v. Suppose 3*a = 15 - v, 1261 = 3*j + 4*a. What is the remainder when j is divided by 52?
51
Suppose 31 = -g + 47. Suppose 0 = s - g. Suppose -r - 60 = -2*u, 4*u - 2*u + 2*r = 54. Calculate the remainder when u is divided by s.
13
Let b(x) = x**2 - 9*x - 443. What is the remainder when 817 is divided by b(29)?
132
Suppose -4*u - 4 = -2*t, -5*u + 9*t - 5 = 5*t. Calculate the remainder when 81 is divided by (-414)/(-18) - (2 + u).
15
Let q(k) = -5*k**3 + 25*k**2 + 24*k + 47. Let i(j) = -2*j**3 + j**2 + 2*j. Let o(m) = 2*i(m) - q(m). What is the remainder when 91 is divided by o(24)?
42
Suppose 0 = 5*r + 3530 - 15. Let s = -674 - r. What is the remainder when 402 is divided by s?
25
Calculate the remainder when (-15)/4 - 170223/(-276) is divided by 155.
148
Let w(h) = h - 1. Let d(f) = f - f - 30 + 11 + 4*f. Let n(u) = -d(u) + 5*w(u). Calculate the remainder when n(-7) is divided by 5.
2
Suppose v = -4*t - 17 + 5, -4*v + 6 = -2*t. Let f = 17 + t. Let p = 35 - 27. What is the remainder when f is divided by p?
6
Suppose 84 = h - 5*v, 0 = -5*h + v + 32 + 340. Let m = 71 - h. Calculate the remainder when (4 + -2)*(-17)/2*m is divided by 26.
25
Suppose 84 = 18*q - 6. Calculate the remainder when 264 is divided by q.
4
Let f(c) = 7*c**2 + 16*c + 4. Let r be f(5). Suppose 31*h = -6*h + r. What is the remainder when h is divided by 6?
1
Suppose -13*r + 2284 = -2019. Let p = r - 316. What is the remainder when p is divided by 0 - (-3 - (1 - 1))?
0
Let h(k) = 5*k**2 - 36*k**2 + 7*k**2 - 5*k**2 + 8*k**2 + k**3 + 115. What is the remainder when h(21) is divided by 114?
1
Let k = -23127 - -23165. Let s = -1 + 4. What is the remainder when k is divided by s?
2
Let w be 2943/545*(1 - 1 - -5). Suppose -4*j - 16 = 0, 5*j - w - 4 = -3*o. Calculate the remainder when 60 is divided by o.
9
Suppose -n = n - 32. What is the remainder when 130 + -113 + 3*19 is divided by n?
10
Let b be (-17)/((-68)/144) + 1. Suppose -186 = -3*c - 3*u, -4*c - 38*u + b*u = -245. Calculate the remainder when 119 is divided by c.
58
Suppose 4*u - 64 = -4*m - m, -4*u - 4*m = -60. Let b = -69 + 73. Suppose -4*i - 4 - 4 = 0, 0 = -3*k - b*i + 43. What is the remainder when k is divided by u?
6
Calculate the remainder when 2411 is divided by (216/15 - 15)/((-222)/(-75) + -3).
11
Let d(v) = 2*v**2 - 4*v + 9. What is the remainder when d(9) is divided by (-198)/(-3) - (12 - 18 - (-56)/4)?
19
Let x(v) = -v**2 - 46*v + 543. Calculate the remainder when x(-51) is divided by 78.
54
Let q = 2014 + -1608. What is the remainder when 1644 is divided by q?
20
Let v = 74 + -71. Suppose v*g = 5*h - 72, -2*h + 0*h + g + 28 = 0. Suppose 4*k = 7*k - 135. Calculate the remainder when k is divided by h.
9
Let t = 113 - 353. Suppose 21*r = 40*r - 817. What is the remainder when r is divided by ((-4)/(-6))/((-10)/t)?
11
Let n = 39 + -49. Let t(i) = -9*i - 18. Let v be t(n). Suppose 0*a - 2*a + b = -41, 3*a - v = 5*b. Calculate the remainder when 32 is divided by a.
13
Let g(r) = r**2 - r + 160. Suppose -73*d + 649 + 617 + 187 + 591 = 0. What is the remainder when g(0) is divided by d?
20
Let c(q) = 29*q - 2. Calculate the remainder when 169 is divided by c(3).
84
Let l(w) be the first derivative of -5*w**4/4 - 53*w**3 + 23*w**2/2 - 40*w + 223. Calculate the remainder when l(-32) is divided by 65.
53
Suppose -k = 5*q - 255, -3*q + 5*k = -q - 102. Calculate the remainder when 48/(-5)*(64/(-8) + -2) is divided by q.
45
Calculate the remainder when (-9263)/(-2)*2 + ((-195)/15 - -10) is divided by 22.
20
Let i(l) = -8*l. Suppose -3*d - 17 = -2*p, 5*d = -3*p - 0*p - 41. What is the remainder when 160 is divided by i(d)?
48
Let k(q) be the second derivative of q**5/20 - 5*q**4/4 - q**3/2 - 15*q**2 - 57*q. Calculate the remainder when k(16) is divided by 18.
16
Let r(u) = -10*u - 65. Suppose -8*l = 195 + 29. What is the remainder when r(l) is divided by 8?
7
Suppose -205 = -28*a + 23*a + 5*b, -2*a = b - 79. What is the remainder when 93 is divided by a?
13
Let c be 23/(230/(-33) - -7). Suppose 24*v - 35*v + c = 0. Calculate the remainder when v is divided by 19.
12
Suppose -22*p - 27*p + 142488 = -13*p. What is the remainder when p is divided by 20?
18
Suppose 0 = -42*t - 35168 + 80714 + 120564. Calculate the remainder when t is divided by 15.
10
Suppose 5*r - 396018 = -56*r + 52*r. Calculate the remainder when r is divided by 12.
10
Let h = 136 + -136. Suppose -5*x + 3*d = -248, h = -x - 3*d - 0*d + 46. Calculate the remainder when x is divided by 19.
11
Let h be -1*(43 - 44)/((-1)/(-19)). Suppose -5*j = 4*k - 61, -2*k + 28 = -0*j + 2*j. What is the remainder when h - ((k/3 - 3) + -4) is divided by 12?
11
Suppose 25 = 2*i + 5*b - 12, -2*i - 4*b + 32 = 0. What is the remainder when 3982 is 