
14
Let s = 4325 - 3908. What is the remainder when s is divided by 34?
9
Let j be (626 + -32)*(-10)/4 + 3. Let p = -1449 - j. Suppose 2*m = 5*y + 138, 3*m - 188 = -2*y - 0*y. What is the remainder when m is divided by p?
31
Let y = 158 + -146. Suppose 12942 + 393 = 21*x. What is the remainder when x is divided by y?
11
Let t(p) = 22*p**2 + 833*p + 111. What is the remainder when t(-47) is divided by 40?
38
Suppose 2*c = 4*d + d - 159, -5*d + c = -162. Calculate the remainder when d is divided by (-1088)/(-88) - (-8)/(-22).
9
Let f(v) = 14*v**3 - 3*v**2 - 2*v + 3. Calculate the remainder when f(1) is divided by 1.
0
Suppose -u = -q - 49, -6*q + q = 5*u - 225. What is the remainder when u is divided by (0 - (-18 - -2)) + 1?
13
Calculate the remainder when (-30904)/(-10) + (-672)/(-70) + -10 is divided by 119.
115
Let w = 14 + 18. Suppose 3*n - w = 16. What is the remainder when ((-20)/n)/((-164)/80 - -2) is divided by 7?
4
Suppose 0 = 3*d - 0*m + m - 5, 10 = -3*d + 2*m. Suppose d = 3*i - 22*i + 1064. What is the remainder when i is divided by 30?
26
Suppose 0 = 238*u + 184*u - 4460 - 1026. Let i(b) = 17*b - 6. Calculate the remainder when i(4) is divided by u.
10
Let m(r) = -4*r - 16. Let l be m(-5). Let c(u) = -2*u**3 + 7*u**2 - 11*u + 22. Let a be c(l). Calculate the remainder when 34 is divided by 507/57 - 4/a.
7
Suppose 3*p = -5*k + 844, 0 = 5*p + k - 267 - 1125. Suppose -2*m = -w + 10, -5*w + 0*m = -2*m - 66. What is the remainder when p is divided by w?
12
Suppose -11 + 5 = 2*c. Calculate the remainder when 308 is divided by (c - -4)*24 + 7.
29
Suppose 0*i + 68 = 17*i. What is the remainder when i/16 + (4 - 21/(-12)) is divided by (-2)/(-3) - 13/(-3)?
1
Suppose 2*w - 4*v = 2*v + 204, -3*v + 15 = 0. Calculate the remainder when 572 is divided by w.
104
Suppose -h + 4*l = -58, 5*h = -l + 580 - 332. Let g(w) = w**3 - 13*w**2 - 12*w - 19. Calculate the remainder when h is divided by g(14).
5
Suppose -4*a = -2*a - 27320 + 26936. Calculate the remainder when 1363 is divided by a.
19
What is the remainder when 397 is divided by ((-141)/(-47))/(15/125)?
22
Suppose -15*d - 18 + 63 = 0. Calculate the remainder when 30 is divided by 11 + (12/d)/(-2).
3
Let s = 1805 + -980. Suppose -76*z + s = -51*z. Let x = 97 - -30. What is the remainder when x is divided by z?
28
Let z be (8/(-24))/((-1)/(-123)). Let v be z/4 + ((-3)/4)/(-3). Calculate the remainder when (-8)/((-1)/(v/(-1)) - 0) is divided by 27.
26
Let w be (-850)/(-68) + 5/(-2). Suppose w*u - 5*u - 130 = -5*i, -3*i - 4*u + 83 = 0. Calculate the remainder when 80 is divided by i.
17
Let d = 10353 + -10236. What is the remainder when 1997 is divided by d?
8
Suppose 0 = -f + 4*o + 196, -138 = -3*f - o + 450. What is the remainder when 1757 is divided by f?
189
What is the remainder when 0 + -7 - (-61)/(1342/104852) is divided by 68?
67
Calculate the remainder when (3270 - 122)*(2/(-56) + (-12)/(-42)) is divided by 81.
58
Suppose 5*t + 165 + 76 = 4*v, 4*t + 4 = 0. Let f = -62 - 154. What is the remainder when v is divided by 6/f*-6 - 89/(-6)?
14
Suppose -257 = 26*h - 2311. Suppose 63*b - 20 = 59*b. Calculate the remainder when h is divided by b.
4
Let q(i) = 79*i - 596. What is the remainder when 336 is divided by q(8)?
12
What is the remainder when 293 is divided by ((-7)/16)/(14/(-224))?
6
Let o = 2941 - 2869. Let b(v) be the second derivative of -v**4/12 - 2*v**3 + 5*v**2/2 - v. What is the remainder when o is divided by b(-8)?
35
Suppose -5*o = -y - 16189, -5*o + 5775 + 10412 = -3*y. Calculate the remainder when o is divided by 17.
8
Suppose b = w + 67 + 6, -187 = -3*b - 5*w. Suppose -5*q + 96 = -q. Calculate the remainder when b is divided by q.
21
Let d(c) = 54*c**3 - 2*c**2 + c + 1. Let z be (-4)/(20/15) - (5 - 9). What is the remainder when d(z) is divided by 27?
0
Let v = -10758 + 10964. Calculate the remainder when 834 is divided by v.
10
Calculate the remainder when 74 is divided by 350/(-49) + 8 + 425/35.
9
Let z = -4 - -13. Let d = 6069 - 6027. Calculate the remainder when d is divided by z.
6
Suppose 0 = -5*z + 32 + 33. Let m(v) = -v**2 + 55*v - 70. Calculate the remainder when m(53) is divided by z.
10
Let x = -12850 + 12897. What is the remainder when 517 is divided by x?
0
Suppose 25*h - 401 - 74 = 0. Calculate the remainder when 174 is divided by h.
3
Suppose 0 = 10*o - 15*o + 470. Let y = 146 - o. Let i = y + -49. What is the remainder when 3 is divided by i?
0
Suppose z = 2*a - 982, 5*z + 0*z = 3*a - 1445. Calculate the remainder when a is divided by 95.
20
Suppose 3*m + 2*m = 5*q - 55, 17 = q + 5*m. Let r be ((-3)/5)/((-6)/(-30)). What is the remainder when (-68)/r - (-3)/9 is divided by q?
11
Suppose 0 = 87*m - 38*m + 33*m - 8282. Calculate the remainder when 502 is divided by m.
98
Suppose 0 = -1251*y + 1285*y - 2040. What is the remainder when 2874 is divided by y?
54
Suppose -t - 3*q - 4 + 42 = 0, 3*t = 2*q + 114. What is the remainder when t is divided by (-460)/(-1127)*(3/6 - 4)*-7?
8
Let a(r) = -r**2 + 61*r + 3. Suppose 47 + 49 = 2*c. Calculate the remainder when a(7) is divided by c.
45
Calculate the remainder when 544 is divided by ((-4956)/14)/(-6) - 4.
49
Let p(c) = c**2 - 4*c - 6. Let y = 33397 + -33248. Calculate the remainder when y is divided by p(-5).
32
Let z = -117 + 399. Let n = z + -191. Calculate the remainder when n is divided by 23.
22
Let m(n) = n**2 - 81*n + 1174. What is the remainder when m(14) is divided by 17?
15
Let h = -3215 + 3251. Calculate the remainder when 434 is divided by h.
2
Let l(j) = j**2 + 105*j + 1209. What is the remainder when 2983 is divided by l(-13)?
6
Let i(r) = 9*r + 7. Let q(p) be the first derivative of p**4/2 + 20*p**3/3 + 3*p**2/2 + 34*p - 389. Calculate the remainder when i(6) is divided by q(-10).
1
Let d = 36770 + -32238. What is the remainder when d is divided by 52?
8
Let p = 1050 - 1064. Suppose 6 = c + 1. Let t = c - p. Calculate the remainder when 35 is divided by t.
16
Let c(l) = 82*l + 1362. Calculate the remainder when ((-68)/12 + -1)*(-2 - 7) is divided by c(-16).
10
Let f = -2429 - -2467. What is the remainder when 5013 is divided by f?
35
Let z be -4 - ((-4)/2 + 0) - -26. Suppose z*v + 90 = 33*v. Calculate the remainder when 219 is divided by v.
9
Suppose 3*b - 3 = 0, b + 1620 = 3*o - 665. Calculate the remainder when 2286 is divided by o.
0
Let s(p) = 2*p + 11. Let t(c) = -c**3 + 6*c**2 - c + 3 - 6*c + 6*c. Let d be t(6). What is the remainder when s(d) is divided by 2?
1
Suppose -214*i + k = -219*i + 179, 5*i - 177 = -3*k. Suppose 0*w = 12*w - 144. Calculate the remainder when i is divided by w.
0
Let h be 1 + 1 - (6 - (81 - -6)). Suppose 3*b = h - 53. Calculate the remainder when b is divided by 5.
0
Let a(b) = -61*b**2 - 387*b + 3. Calculate the remainder when a(-6) is divided by 1/3*45*1.
9
Let c(n) = 104 + 7*n + 162 - 104 + 44*n. Let k = -15 - -53. What is the remainder when k is divided by c(-3)?
2
Suppose -3*l + i + 13 = 0, 0 = -3*l - 2*i + 14 - 4. Suppose l*p + 312 = 17*p. Calculate the remainder when 71 is divided by p.
23
Suppose -4*o + 5 = 29. Let j(y) = -118*y - 829. Let x be j(-7). Calculate the remainder when 73 is divided by 2/o*x*19.
16
Suppose -160*f = -263 - 4188 - 3069. What is the remainder when 469 is divided by f?
46
Suppose -v = -3*a + 2*a + 150, -2*v = -4. What is the remainder when a is divided by 83/6 - (-2)/12?
12
Suppose -4*f + 5*a = -91416, 3*a + 114260 = 5*f - 2*a. What is the remainder when f is divided by 5?
4
Suppose 5*f + 41*h - 80 = 36*h, f - 8 = h. Let d = 11 + -64. Let l = -30 - d. What is the remainder when l is divided by f?
11
Suppose -48*z + 187 + 197 = 0. Calculate the remainder when 877 is divided by z.
5
Suppose -x - 5*l - 4 = 0, -39*x + 4*l = -35*x - 8. Calculate the remainder when 118 is divided by x.
0
Let q(k) = -2*k**3 - 33*k**2 - 118*k - 13. Let g(p) = 10*p**3 - 5*p**2 + 2*p + 3. What is the remainder when g(3) is divided by q(-4)?
57
Suppose -6*y = 5*t - 831 - 137, 0 = -4*y - 5*t + 652. What is the remainder when 334 is divided by y?
18
Let x(n) = n**2 - 9*n + 57. Suppose -14 = -5*y + 11. What is the remainder when 257 is divided by x(y)?
35
Let o(a) = 2*a**3 - 142*a**2 + 3*a - 30. Calculate the remainder when o(71) is divided by 39.
27
Let u(j) = 3*j**2 