 + 2. Let p be f(-1). Suppose -4*x - 8 = 4*x. Let u = p + x. What is the remainder when u is divided by 1?
0
Suppose 0 = -d + 5, -3*l = 6*d - 5*d - 20. Suppose 5*v - 327 = -l*r - 37, 4*r - v = 207. What is the remainder when r is divided by 8?
5
Suppose 4*d - 178 = 2*d. Suppose -18*q - 71 = -611. What is the remainder when d is divided by q?
29
Let c(p) be the second derivative of -p**5/4 - p**4/3 - 2*p**3/3 - 2*p**2 + 36*p. Calculate the remainder when 111 is divided by c(-2).
27
Suppose -4*h - 4 = -0. Let b be h/(-2*1/10). Suppose 0 = -w + b. Calculate the remainder when w is divided by 3.
2
Suppose -d + 8 = 5*x - 4, 5*d = -5*x + 20. Suppose 2*z + x*z = 192. Let o(y) = -y**2 - 9*y - 1. Calculate the remainder when z is divided by o(-6).
14
Suppose 2*a - 8 = -2*a. Suppose 3*v + 2*v + 5*r - 90 = 0, a*r + 24 = v. What is the remainder when (4/2)/(12/354) is divided by v?
19
Let a = -2 - -10. Suppose -a*c = -3*c - 375. What is the remainder when c is divided by 20?
15
Suppose -2*x - 10 = 2*d, 13 = -6*d + d - 2*x. Calculate the remainder when (-5)/3 - 8906/(-219) is divided by (-61)/(-3) - d/(-3).
19
Let m(r) = r - 16. Let c be m(4). What is the remainder when 65 is divided by 2 + (-130)/(-4) - 6/c?
30
Let n = -27 - -29. Suppose -3*i = -n + 14. Calculate the remainder when 77 is divided by i*1 - (-50 - -6).
37
Let m = -94 - -109. Calculate the remainder when 6/m - (-4158)/30 is divided by 14.
13
Suppose 3*t = 5*t - 32. What is the remainder when 56 is divided by t?
8
Let z(l) = 2*l**2 - l + 6. Let y be z(-6). Let r = 23 - 5. Let o = y - r. What is the remainder when o is divided by 17?
15
Let g = -161 - -199. What is the remainder when g is divided by 20?
18
Let y = 33 - 18. Suppose 0*w - y = -3*w. Let l = 19 + w. What is the remainder when l is divided by 13?
11
Let g(a) = 43*a + 401. Let o(l) = 5*l + 3. What is the remainder when o(4) is divided by g(-9)?
9
What is the remainder when 356 is divided by 690/(-414)*(-564)/10?
74
Suppose -22*l + 30 = -12*l. Suppose -2*x - l*x + 115 = 0. Calculate the remainder when 135 is divided by x.
20
Let r(t) = -27*t - 6. Calculate the remainder when 106 is divided by r(-2).
10
Suppose -38*k + 603 = 223. Let i = 20 - -6. Calculate the remainder when i is divided by k.
6
Suppose 0 = z - 18*z + 884. What is the remainder when 95 is divided by z?
43
Let i = -1 - -1. Suppose -5*a = -2*x - 14, 4*x + 2*a = -0*a + 20. Calculate the remainder when 33 - (i + x - 2) is divided by 7.
4
Let j = 29 - -1. Let p = 7 + -125. Let k = 134 + p. Calculate the remainder when j is divided by k.
14
Suppose -35 = -4*m + 73. Suppose -5*t - 95 = -o, 2*o + t + 4*t - 220 = 0. What is the remainder when o is divided by m?
24
Suppose c = 4*c - 12. Suppose -2*j - 3*r + 2*r = -19, 3*j - 18 = 2*r. Suppose 5*i - 2 = j. What is the remainder when c is divided by i?
0
Suppose 4*w - u - 11 = 0, 0 = -4*w + 2*u + u + 1. Suppose w*m - 45 = 71. Let l(n) = 13*n**2 - 4*n + 10. Calculate the remainder when l(3) is divided by m.
28
Suppose 0*w + 15 = 3*w. Suppose q = w*a + 19, -5*q + 23 = -3*a + 2*a. What is the remainder when 22 is divided by q?
2
Suppose m = -5*z + 43, -2*z + 11 = -z + m. Let h be 20/z*12/(-15). Calculate the remainder when 54 is divided by (-56)/(-4)*(-2)/h.
12
Suppose 0 = 3*z + 41 - 152. Calculate the remainder when (-183*(-5)/10)/((-12)/(-24)) is divided by z.
35
Let b(a) be the third derivative of a**4/12 + a**2. Let y(h) = h**3 - 3*h**2 - 9*h - 2. Let p be y(5). What is the remainder when 35 is divided by b(p)?
5
Suppose 0 = 12*v + 3*v - 285. Let r = 22 - -29. Suppose -4*l = -l + a - 163, -r = -l + 3*a. Calculate the remainder when l is divided by v.
16
Let c = -22 + -139. Let s = c - -251. Calculate the remainder when s is divided by 23.
21
Suppose 6*n + 188 = 5*n. Let f = n + 311. What is the remainder when f is divided by 18?
15
What is the remainder when -2*1 - (2 + (-774)/9) is divided by 17?
14
Let c(w) = w**3 + 3*w**2 - 14*w - 10. What is the remainder when 15 is divided by c(-5)?
5
Let p be 237/12*-2 - 3/(-6). Let r = 90 + p. Calculate the remainder when r is divided by 9.
6
Let b = 134 + -111. What is the remainder when 75 is divided by b?
6
Let c = -9 - -7. Let y be 20/(-25)*5/c. What is the remainder when 3 is divided by 9*(14/6 - y)?
0
Suppose -z - 92 = -3*u + z, 0 = -4*u + 2*z + 124. What is the remainder when 190 is divided by u?
30
Let t = 690 + -424. Calculate the remainder when t is divided by 84.
14
Suppose 4*k - 5*k = 33. Suppose n = 4*n - 177. Calculate the remainder when n is divided by 15/(-2 - k/12).
19
Suppose 3*s + p - 11 = 0, 0 = 2*s - 3*p - p + 16. What is the remainder when (-1)/(-2)*s*9 is divided by 5?
4
Suppose 7 - 25 = -3*d. What is the remainder when 567/(-7)*(-6)/18 is divided by d?
3
Let q = 533 + -310. Suppose 2*p - s = -0*p + 82, -2*s = 5*p - q. Calculate the remainder when p is divided by 15.
13
Let y(o) = 9*o - 2. Calculate the remainder when y(4) is divided by (-300)/825 - (-294)/22.
8
Let o = 1690 - 350. Let i be (-3)/(-1)*13/3. What is the remainder when 14 is divided by (-2)/i + o/260?
4
Suppose 755*g - 752*g - 737 = 5*m, 0 = -5*g - 5*m + 1175. What is the remainder when g is divided by 51?
35
Suppose -6*i + 62 = -136. Calculate the remainder when 559 is divided by i.
31
Let t = -34 + 9. Let p = -5 - t. Calculate the remainder when 79 is divided by p.
19
Let w = -1183 + 1230. Calculate the remainder when 257 is divided by w.
22
Suppose 9736 = 73*d - 65*d. Calculate the remainder when d is divided by 94.
89
Let k = -1071 - -1155. What is the remainder when 344 is divided by k?
8
Suppose 0 = -m - 3*n + 99, 3*m + 5*n + 43 - 348 = 0. Let d(c) = 4*c - 90. Calculate the remainder when m is divided by d(27).
15
Suppose 0 = -4*q - s + 312 + 32, -q + 91 = -s. Suppose 0 = 4*u + 5*u - 135. Calculate the remainder when q is divided by u.
12
Suppose 7*g = 4*g. Suppose x - 19 - 1 = g. Calculate the remainder when x is divided by 11.
9
Suppose u - 128 = 5*r, -r + 400 = 3*u - 0*r. What is the remainder when u is divided by 69?
64
Suppose t - 30 + 14 = 0. Calculate the remainder when 238 is divided by t.
14
What is the remainder when 71 is divided by 52/6 + 2 - (-20)/15?
11
Let q = 131 - 200. What is the remainder when 125 is divided by 2/(3 - q/(-24))?
13
Suppose -4*a - 2*t = -4, 3*a = -a + t - 2. Suppose 4*r - 16 = a, -j + r = j - 54. Calculate the remainder when j is divided by 8.
5
Let a = 979 + -937. What is the remainder when 1343 is divided by a?
41
Let t(c) = 5*c + 505. What is the remainder when t(-42) is divided by 113?
69
Suppose 39*s + 58*s = 679. What is the remainder when 126 is divided by s?
0
Suppose 4*u + u - 235 = 0. Calculate the remainder when 227 is divided by u.
39
Suppose 3*r + 103 = 172. Calculate the remainder when 38 is divided by r.
15
Suppose -225 = -17*i + 47. What is the remainder when 68 is divided by i?
4
Let y(a) = 3*a**2 + 7*a - 15. What is the remainder when 65 is divided by y(3)?
32
Let q be (-1)/(3/12) - -14. Suppose 0 = -4*d + q*d - 312. What is the remainder when d is divided by 11?
8
Suppose -b + 2*b - 26 = 0. Suppose -3*r - 30 = -2*f + 176, 2*f = r + 206. What is the remainder when f is divided by b?
25
Let y = -7 + 16. Let q(r) be the third derivative of r**4/6 - 7*r**3/2 - 152*r**2. What is the remainder when 58 is divided by q(y)?
13
Suppose -249*s - 216 = -258*s. What is the remainder when 142 is divided by s?
22
Let z(h) = -100*h**2 + h. Let y be z(-1). Let q = -64 - y. Let r(u) = -18*u**3 - u. Calculate the remainder when q is divided by r(-1).
18
Suppose -1206 = 6*n - 12*n. What is the remainder when n is divided by 29?
27
Let u(s) = 11*s - 19. Let x be u(3). Suppose -11*f + x*f = 210. What is the remainder when f is divided by 36?
34
Let v = 17744 + -17735. What is the remainder when v is divided by 24/9 + (-1)/(-3)?
0
Calculate the remainder when 295 is divided by (-2)/1*-1*(4 - -33).
73
Suppose 0 = 96*r - 492 - 276. Calculate the remainder when 470 is divided by r.
6
Suppose -3*b + 20 = -3*t + 5, -2*t + 6 = 2*b. Suppose -b*v - 34 - 30 = -3*w, 4*w + 2*v = 122. Let x = -510 + 591. What is the remainder when x is divided by w?
25
Let x(y) = 44*y**2 - 3*y - 2. Calculate the remainder when x(-1) is divided by 16.
13
Suppose 3*v + 0*v = -3*u + 231, v + 2*u