59*z - 5678. What is the remainder when 1152 is divided by u(-99)?
11
Suppose 5*p + q - 49 = 0, 4*q + 11 = 4*p - 9. Suppose -552 = 1048*f - 1094*f. Calculate the remainder when f is divided by p.
3
Let i = 4102 + -3667. Calculate the remainder when i is divided by 11.
6
Suppose 73*c + 59*c = 305607 + 802797. What is the remainder when c is divided by 28?
25
Suppose -8*h - 6*z + 3980 = -7*z, -3*h + z = -1495. What is the remainder when h is divided by 119?
21
Suppose 0 = -6*l - 382 + 202. What is the remainder when (236/(-8))/(3*5/l) is divided by 23?
13
Let k(z) = -3*z**2 + 4*z + 3. Let i be k(3). Let r = -5 - i. Suppose -7*v = 5*j - 3*v - 542, 0 = -5*j - 2*v + 546. What is the remainder when j is divided by r?
5
Let q = -7384 + 7673. What is the remainder when q is divided by 49?
44
Let y be (-19)/((-38)/(-90) + 8/(-36)). Let p = 34 - y. What is the remainder when p is divided by 40?
9
Let o(a) = a**3 - 12*a**2 + 36*a + 6. Calculate the remainder when 2309 is divided by o(4).
21
Let c(p) = -14*p**3 - 5*p**2 + p + 2. What is the remainder when 3669 is divided by c(-1)?
9
Let a(u) = -4*u**2 + 3*u + 2. Let c be a(-3). Let f(q) = -2*q**2 - 88*q + 11. Calculate the remainder when 386 is divided by f(c).
95
Let i(y) = -y**3 - 12*y**2 + 3*y + 45. Let f be i(-12). Let o(n) = 7*n - 20. Calculate the remainder when o(f) is divided by 17.
9
Suppose -2*h = 2*q - 2524, -h - 644*q = -646*q - 1238. Calculate the remainder when h is divided by 26.
6
What is the remainder when (100/(-6))/((-8)/(-1152)*-6) is divided by 34?
26
Let p = -408 - -966. What is the remainder when 102 is divided by (6/(-4))/((-31)/p)?
21
Let g(d) = -22*d + 171. What is the remainder when g(-22) is divided by 41 - (-17)/51*(1 + -1)?
40
Let j(q) = 2*q**2 + 4*q + 9. Suppose -15 = -3*g, -6*g + 8*g - 2 = -2*d. What is the remainder when 122 is divided by j(d)?
22
Let c(v) be the second derivative of 9*v**3/2 + 21*v**2/2 + v. Let m be 9/12*(0 + 4). Calculate the remainder when c(m) is divided by 35.
32
Let j(a) = -3*a - 6. Let x be j(-4). Suppose -x*n + 264 = -0*n. Suppose 37 = 2*f + h, f - 57 = -2*f - 2*h. Calculate the remainder when n is divided by f.
10
Suppose -2*u - 4*q + 633 = 73, 3*u - q - 833 = 0. Calculate the remainder when u is divided by 72.
62
Suppose -4*d = c - 89, 53*c - 51*c + 5*d - 202 = 0. What is the remainder when c is divided by (-2)/(-2) - (-27 + 1)?
13
Let y(z) = -29*z**2 + 13*z + 24. Let n(i) = -15*i**2 + 6*i + 13. Let g(w) = 5*n(w) - 3*y(w). What is the remainder when 470 is divided by g(-2)?
57
Suppose -675*z = -1334*z + 668*z - 8568. Calculate the remainder when z is divided by 138.
124
Suppose -7*y + 16557 = 5*w - 6*y, 3*w - 9923 = y. What is the remainder when w is divided by 85?
80
Let m = 178 - 179. What is the remainder when 25 is divided by (1 - -10) + -4 - m?
1
Suppose -3*j + 6 = -9, -k = -2*j - 19. Calculate the remainder when 85 is divided by k.
27
Let l = -254 - -434. Let v = 202 - l. Calculate the remainder when 130 is divided by v.
20
Let c = 41 - -1. Suppose -10*v = -3*v - c. What is the remainder when 78 is divided by (5 - 11)/(v/(-28))?
22
What is the remainder when 10198 is divided by ((-4)/(-3))/(152/2850)?
23
Let c be 1*(3 + -11) + 1100. Suppose -c + 164 = -8*u. Calculate the remainder when u is divided by 38.
2
Suppose 917 = -183*m + 190*m. What is the remainder when m is divided by 108?
23
Let s = 388 - 172. Calculate the remainder when 55 is divided by (s/(-126))/(4/(-28)).
7
What is the remainder when (-21)/28*(-14260)/69 is divided by 82?
73
Let w = 7 + 20. Suppose -6*g + 111 = -w. Let o = g + -15. Calculate the remainder when 21 is divided by o.
5
Suppose -269*u + 4 = -265*u. Calculate the remainder when u + 3 + 2 + (104 - -3) is divided by 19.
18
Let c be (-19977)/(-12) + 5/20. Suppose 0*s - c = 15*s. Let w = -107 - s. Calculate the remainder when w is divided by 4.
0
Suppose -3*j + 13*j - 27080 = 0. Suppose -13*d + 3376 = -j. What is the remainder when d is divided by 59?
55
Suppose -8 = -4*b - 2*s, b + s = -4*s + 2. Suppose 0 = -b*c + o + 16, -8 - 12 = -5*o. Suppose 2*h + h - 291 = 0. Calculate the remainder when h is divided by c.
7
Suppose -210*z + 8123 = -13422 + 335. Suppose -3*b - 39 = -120. Calculate the remainder when z is divided by b.
20
Suppose -17*r + 20 = -12*r. Calculate the remainder when 91 is divided by (-13)/(-3)*(14 - (r + 1)).
13
Suppose -10*o + 4*k = -15*o + 272, -4*o + 4*k + 268 = 0. Calculate the remainder when 4139 is divided by o.
59
Let x(y) = -20*y + 59. Let c be x(2). Let o(u) = u**3 - 19*u**2 + 3*u + 10. Calculate the remainder when 667 is divided by o(c).
64
Suppose 60*k - 9551 - 20539 = 45*k. Calculate the remainder when k is divided by 10.
6
Suppose 436*a = 438*a - 298. Calculate the remainder when a is divided by 48.
5
Let j = -2463 - -2697. What is the remainder when j is divided by 8?
2
Suppose -8 = -4*y + 2*y. Suppose x - 263 = -3*x + 5*c, 0 = -2*x - y*c + 138. Suppose -70*q + 27 = -x*q. What is the remainder when 34 is divided by q?
7
Let f be (-2 - 3)*46/(-5). Suppose -2*z = 3*b - 105, -14 = -2*b + 2*z + f. What is the remainder when b is divided by 14?
5
Suppose 9*d = 4*d + d + 72. Calculate the remainder when 1275/6 - 2/(-4) is divided by d.
15
Suppose -3*r = -4*r + 25. Suppose 182 = -5*d - 2*l + l, 2 = -l. Calculate the remainder when (210/8)/(d/(-96)) is divided by r.
20
Let j = -460 - -482. Let d = 14 - 8. Calculate the remainder when (56/d)/(j/231) is divided by 25.
23
Suppose 30*w = 59*w - 9599. Calculate the remainder when w is divided by 326.
5
Suppose 36*w - 45*w - 37464 = -37*w. Calculate the remainder when w is divided by 40.
18
Let c(d) = -d**2 - 7*d + 5. Let x be c(-7). Suppose -x*k + 22 = -w, -w - k = 3*w - 17. What is the remainder when -3*2/(-6)*23 is divided by w?
2
Suppose 6*g - 42 = 6. Suppose 2*r + 0*h + g = -h, -3*h = r + 4. Let k = r - -175. What is the remainder when k is divided by 29?
26
Let w = 121 + -91. Let s(a) = -4*a + 331. Calculate the remainder when s(53) is divided by w.
29
Let r = -9 - -277. Let x = -214 + r. Calculate the remainder when 539 is divided by x.
53
Suppose 728 - 44 = 3*t. Suppose -4*s = -2*k - 2*k + t, 3*k - 175 = s. What is the remainder when k is divided by 20?
19
Suppose -q - 10 = -3*x, -38*q + 5 = -37*q + 2*x. What is the remainder when q - -68*(-9)/(54/(-12)) is divided by 35?
30
Let v = 5508 + -5418. Calculate the remainder when 175 is divided by v.
85
Let q(x) = 113*x**3 + 5*x**2 - 2*x - 1. Calculate the remainder when q(1) is divided by 74.
41
Calculate the remainder when (386/(-8) - 29)*(-152)/6 is divided by 53.
49
Suppose 3*g + n - 3850 = -4*n, 4*n + 5176 = 4*g. Suppose f - 2*q + 273 = 15, 0 = -5*f + 4*q - g. What is the remainder when f/(-4) - (-3)/(-2) is divided by 16?
15
Let l = -22246 + 22620. What is the remainder when 490 is divided by l?
116
Let g = 4 - 8. What is the remainder when 6 is divided by 3 + (-1)/(2/g)?
1
Let u(t) = -t**3 - 12*t**2 - 51*t + 2. Calculate the remainder when 1/(-3*4/(-2832)) is divided by u(-5).
72
Suppose -5838 = -21*d + 2961. Suppose -d = -3*l - 5*s - 0, 0 = -2*l + s + 288. What is the remainder when l is divided by 29?
27
Calculate the remainder when 914 is divided by (2 + 25/(-10))*(-303 - (-3 - 0)).
14
Suppose 0 = -d - 2*w + 224, -5*d - 1104*w + 1192 = -1106*w. What is the remainder when d is divided by 20?
16
Let k(m) = 15*m**2 + 275*m - 273. What is the remainder when 11236 is divided by k(1)?
16
Let v = 255 + -187. Let g = v - 1. What is the remainder when 267 is divided by g?
66
Let k = -3 + 6. Suppose k*z = 14*z - 561. Calculate the remainder when z is divided by 16.
3
Suppose 5*l = 10*p - 8*p + 383, -l - p + 78 = 0. Suppose -l = -t + 1. What is the remainder when t is divided by 67?
11
Suppose -x = 3*r + 6, -4*r - 1066 + 1134 = -5*x. Let h(b) = -b**2 - 4*b - 4. Let p be h(-3). Calculate the remainder when 12 is divided by 10/8 - x/16 - p.
0
Suppose -21*u + 26*u = 375. What is the remainder when u is divided by 40?
35
Let j = 8638 - 8431. What is the remainder when j is divided by 85?
37
Suppose -v = -10 - 3. Let o be 6/(3 - (-273)/(-92)). Suppose -8*w = -4*w - 3*z - 184, 4*w - o = 5*z. What is the remainder when w is divided by v?
7
Calculate the remainder when (42/49)/(1/92) + (-2)/(-14) is 