 2*q - 2. Let j(x) = -539*x**3 - 7*x**2 - 4*x - 3. Let m(r) = 5*c(r) - 3*j(r). What is the remainder when m(1) is divided by 6?
5
Let y = -45 - -110. Let r = 14249 - 14122. Calculate the remainder when r is divided by y.
62
Suppose 0 = -7*w + 592 + 185 + 70. Calculate the remainder when 234 is divided by w.
113
Suppose -3*t - 447 = -4*s - 119, -3*t + 267 = 3*s. Let n = -7 - -13. Suppose n*p = 77 + s. Calculate the remainder when 77 is divided by p.
23
Let w(i) = -11*i + 50. Let m be w(-7). Suppose m*j - 132*j = -20. Calculate the remainder when 21 is divided by j.
1
Calculate the remainder when ((-87)/(-116))/(6/13496) is divided by 843.
1
Suppose 0 = -3*s - m + 34732, 0 = -33*s + 3*m + 364677 + 17445. What is the remainder when s is divided by 15?
14
Let t be ((-6)/27)/(-1) + (-188)/36. Calculate the remainder when 6*(t - 456/(-9)) is divided by 23.
21
Let p(w) = -28*w - 58. Let l(h) = 87*h + 172. Let f(t) = -4*l(t) - 11*p(t). What is the remainder when 136 is divided by f(-2)?
16
Let j = 5442 - 5435. What is the remainder when (6/9)/((-2)/(-33)) is divided by j?
4
Suppose 3*w = -2*w - 40. Let k = -2 - w. What is the remainder when (-505)/(-30) - (-5)/30 is divided by k?
5
Let f be 269 - (8/(-8 - -4) - -4). Suppose 0 = -7*p + 48 + f. Calculate the remainder when p is divided by 24.
21
Let v(x) = -x**2 - 19*x + 50. Let l be v(-21). Calculate the remainder when 83 is divided by ((-36)/l + 4)*(-20)/2.
3
Suppose 0 = -20*d + 90 + 670. What is the remainder when 1271 is divided by d?
17
Let v(l) = -2*l - 1. Let d(t) = -t**2 - 19. Let q(o) = -d(o) + 4*v(o). Calculate the remainder when 177 is divided by q(11).
33
Let n = -3653 - -3656. Calculate the remainder when 2979 is divided by n.
0
Let r(p) = 2*p**2 - 39*p + 68. What is the remainder when 167 is divided by r(19)?
20
Let l be (5 - -1) + (-4)/(20/(-2425)). Let x = l - 287. What is the remainder when x is divided by 41?
40
Let s be (-524)/(-1)*(-45)/(-90). Let k = s + -220. Let n = 37 + -20. What is the remainder when k is divided by n?
8
Suppose 5*k + 32 = -3*v, v = -3*v - 16. What is the remainder when (-2)/(k/(-37)*(-2)/12) is divided by 29?
24
Suppose s = -s + 18*s. Suppose 14*i - 166 - 156 = s. Calculate the remainder when 50 is divided by i.
4
Let z(b) = b**3 - 6*b**2 + 7*b - 11. Let u be (4/(-5))/(71/(-10) + 7). Calculate the remainder when z(u) is divided by 29.
28
Let s be (-4826)/46 + (-72)/828. What is the remainder when s/(-20)*-2*(-48)/9 is divided by 25?
6
Let m(j) = 31*j**3 - 2*j**2 + 2*j - 1. Suppose 0 = 3*w + i - 229, -4*i + 164 + 144 = 4*w. Let u = w - 64. What is the remainder when m(1) is divided by u?
6
Suppose 4*u + 4*w - 1728 = 0, 4*u - 4*w - 1749 = -w. Suppose -u = -2*o - 157. What is the remainder when o is divided by 28?
27
Let d = -126 - -183. Suppose 11*s + 270 = 589. What is the remainder when d is divided by s?
28
Let k = -20848 + 20868. Suppose -f = 2*f - 288. What is the remainder when f is divided by k?
16
Let a(n) = 2*n + 26. Let j = -14 - -4. Calculate the remainder when 21 is divided by a(j).
3
Let z = -7 - -11. Let m(q) = 20*q + 17 + 32*q - 34*q + 18 + 28*q. Calculate the remainder when m(z) is divided by 11.
10
Let o(n) = 16*n**2 + 451*n - 135. What is the remainder when 1676 is divided by o(-29)?
224
Let x be 7/(-49)*-3 + (-156)/(-28). Suppose 5*q - 37 = -3*c - x, 4*c = 5*q - 52. Calculate the remainder when 51 is divided by q.
3
Suppose -30*m + 15486 = -m. Suppose 84*o + m = 87*o. What is the remainder when o is divided by 14?
10
Let o(q) = -17*q**3 - 2*q**2 - 13*q - 10. Calculate the remainder when 502 is divided by o(-1).
16
Suppose -8 = -3*g + 4*d, -2*g = -d + 81 - 88. Calculate the remainder when 782 is divided by g.
2
Let r = -308 - -332. Suppose w - 62 = r. Calculate the remainder when w is divided by 44.
42
Let z = -3123 - -3174. What is the remainder when 214 is divided by z?
10
Suppose i - 4*z = 1064 - 245, 0 = -3*i + 4*z + 2449. What is the remainder when i is divided by 90?
5
Let d(h) be the second derivative of 0 + 19/6*h**3 - 1/12*h**4 + 10*h**2 - 9*h. What is the remainder when 23 is divided by d(19)?
3
Suppose 2*n - 188 = -3*t, -4*n = -2*t - 2*t - 356. Let b = -7652 + 7677. Calculate the remainder when n is divided by b.
16
Let z(n) = -17*n + 165. Let k be z(-11). Suppose a = -3*c - a + k, -4*a + 468 = 4*c. What is the remainder when 229 is divided by c?
111
Let t(l) = -2*l**2 + 152*l + 195. Calculate the remainder when 74 is divided by t(77).
33
Let r = 36 + 110. Suppose -3*b + b + r = 0. Suppose 0 = -u - 2 + b. What is the remainder when u is divided by 36?
35
Suppose -2*x + 4*f + 8 = 2*x, -4*x + 29 = 3*f. Suppose -x*v + 63 + 52 = 5*o, 3*v - 88 = -4*o. Let l = -2 - -12. What is the remainder when o is divided by l?
9
Let n = 16 - 35. Let d = 25 - n. Suppose 0 = -5*l + 9*l - d. What is the remainder when l is divided by 4?
3
Let d be (-4)/10 - ((-276)/(-60) - 7). Suppose -3*u + 76 = 5*f, -f = -3*f - d. Calculate the remainder when u is divided by 15.
12
Suppose 2*b = 101 + 79. Suppose -2*x + 5*x = -b. What is the remainder when (-1067)/(-15) + 1*4/x is divided by 18?
17
Let j(b) = -9*b**2 + 199*b - 624. What is the remainder when j(15) is divided by 29?
17
Suppose 0 = -16*k - 179 - 77. Calculate the remainder when 87 is divided by (2/7)/(k/(-28))*44.
21
Suppose 4*i - 6 = 5*g, 2*i - 1 = -4*g + 15. Calculate the remainder when g + 1024/9 - 46/(-207) is divided by 20.
16
Let j = 6171 + -6163. What is the remainder when 1848 is divided by j?
0
Suppose -8320 = 24*n - 18*n - 136*n. What is the remainder when n is divided by 16?
0
Let c = -221 - -324. Let s = -57 + c. Suppose -6*y + 18 = -114. Calculate the remainder when s is divided by y.
2
Suppose -5694*k + 5708*k - 868 = 0. What is the remainder when k is divided by 39?
23
Let n(d) = d**3 - 16*d**2 + 15*d + 3. Let x be n(15). Suppose -24 = -3*l - q, -44 = 2*l - 7*l - x*q. What is the remainder when 61 is divided by l?
5
Let i = -835 + 998. Let m(q) = 10*q + 3. Calculate the remainder when i is divided by m(4).
34
Let j = 28 + -26. Suppose 16 = -j*l - 4*x, l = -4*l + x - 62. Calculate the remainder when 4 is divided by (-11)/66 - 26/l.
0
Let q = 2307 - 2271. Let d = -153 - -223. Calculate the remainder when d is divided by q.
34
Let q = 25 + 19. Let z be -2 + 2*(30/4 - 2). Suppose -i = 5, 0 = -g - 5*i - 0*i - z. Calculate the remainder when q is divided by g.
12
Suppose -5*c = 2*v - 4, v + c = -v + 20. Let o = -723 - -817. Calculate the remainder when o is divided by v.
10
Suppose 3*o + 620 = 5*g, -8*g + 4*o = -1585 + 589. Calculate the remainder when 234 is divided by g.
107
Suppose 24*b = 16*b + 168. Suppose -m + 176 = b*m. Let s(d) = -d**3 - 2*d**2 + 2*d + 1. Calculate the remainder when m is divided by s(-3).
0
What is the remainder when 2193 is divided by (-1036)/666*(1*-6 + -3)?
9
What is the remainder when -1 - (859012/(-847) + 0 + 4/22) is divided by 996?
17
Let z(m) = m**3 - 10*m**2 - 5*m - 19. Let s be z(11). Let l = -36 + s. What is the remainder when 46*(-4)/(-8) - 2 is divided by l?
10
Let m(k) = 7*k - 16. Suppose 0*s = -5*d + s + 295, -2*d = -4*s - 118. Let x = d + -51. What is the remainder when m(x) is divided by 15?
10
Suppose -5*x + 4*x + 330 = 4*p, -2*p = 4*x - 1334. Suppose -28*w + 30 = -x. What is the remainder when 38 is divided by w?
12
Suppose h = 4*h - 1095. Let x(u) = -u**3 - 18*u**2 - 36*u - 18. What is the remainder when h is divided by x(-16)?
43
Suppose -440 = 441*m - 442*m. Suppose 6*t + 88 = 7*t - 5*a, a = -5*t + m. Calculate the remainder when t is divided by 7.
4
Let w(o) = 156*o + 4. Let r(v) = 2*v**2 - 4*v - 47. Let q be r(6). Calculate the remainder when w(q) is divided by 27.
25
Let z(x) = 3*x**3 + 22*x**2 - 14*x + 6. Let d be z(-8). Let q = d - -15. What is the remainder when 10 is divided by q?
0
Suppose 3*d = -d + 4*k + 400, -2*k - 506 = -5*d. Let o(n) = n**2 - 7*n + 18. Let l be o(5). Calculate the remainder when l/(-4) + 2 + d is divided by 26.
24
Let a(w) = -w**2 - 38*w + 11. Let x be a(7). Let i = -137 - x. What is the remainder when i is divided by 56?
55
Let k = -118 + 133. Suppose 0 = l + 5*o - 35, -2*l + 3*o + k = 10. Calculate the remainder when 5*5/(25/18) is divided by l.
8
Let h(z) = -3*z**2 + 13*z + 46. Calculate the remainder when 456 i