k(c) = 7*c - 37. Suppose -v = 2*v, -r - v + 102 = 0. Calculate the remainder when r is divided by k(12).
8
Let q(b) = 14*b - 338. What is the remainder when 68 is divided by q(27)?
28
What is the remainder when ((-440)/5)/1*407/(-44) - -3 is divided by 115?
12
Let h = 16 + -7. Suppose -5*x + 690 = 5*k, 4*x - 51*k - 517 = -48*k. What is the remainder when x is divided by h?
7
Suppose 160974 = 525*r - 39051. What is the remainder when r is divided by 207?
174
Suppose 2*p = -4*z + 8, -45*p = -40*p - 5*z - 20. Suppose 205 = g - p*h, h + 3*h + 647 = 3*g. Calculate the remainder when g is divided by 56.
53
Let m be (2/6)/((-44)/(-264)). Suppose m*w + 884 = 5*t, 2*w + 2*w - 696 = -4*t. Calculate the remainder when t is divided by 31.
21
Let n(p) be the first derivative of 3*p**2/2 + 35*p - 72. What is the remainder when n(3) is divided by 4?
0
Suppose -6 = -4*z - 2*y, -3*z - 48*y + 21 = -52*y. Calculate the remainder when 150 is divided by z.
0
What is the remainder when 347 is divided by (-1215)/((-25)/5) + -5?
109
Let b = 26 + -2. Let g = -42848 - -42936. What is the remainder when g is divided by b?
16
Suppose -422*g + 418*g + 117 = -79. Suppose 213 = 3*s - 39. What is the remainder when s is divided by g?
35
Let n = -80 - -91. Suppose u - n = -3. What is the remainder when 302 is divided by u?
6
Let j(w) = -3947*w**2 + w + 4. Let d be j(-2). What is the remainder when 219 is divided by (-3)/36 - d/216?
0
Suppose z + 126 = 2*z - 2*w, -2*z = -3*w - 252. Calculate the remainder when z is divided by 19.
12
Let u(c) = -554*c + 2773. Calculate the remainder when 3942 is divided by u(5).
0
Let f = 34 + 96. What is the remainder when f is divided by ((-32706)/948)/(6/(-8))?
38
Let d = 8056 - 7981. Calculate the remainder when 13497 is divided by d.
72
Let f be ((-54)/8)/(123/3280). Let s = 319 + f. Calculate the remainder when s is divided by 16.
11
Suppose -10*i = 7*i - 0*i. Suppose -30*g + 27*g + 33 = -3*j, 2*g - 5*j - 34 = i. What is the remainder when 30 is divided by g?
2
Suppose -3*s + 43 = -4*f - 43, 3*s - 2*f = 100. What is the remainder when 103 is divided by s?
27
Suppose 0 = -5*t - x - 9, -2*t + 6*x = 3*x + 7. What is the remainder when 8*6 - (t - -3) is divided by (0 - (-8)/(-7))/(((-986)/238)/29)?
7
Let z = -1 + 0. Calculate the remainder when 75/3 + (1 - z) is divided by 1/(2/(-8))*15/(315/(-84)).
11
What is the remainder when 1123 is divided by (12/(-10))/(182/(-11375))?
73
What is the remainder when 261 is divided by 4000/(-60)*18/(-15)?
21
Suppose 5*c + 221 = 3*u, 5*u + 6*c - 357 = 3*c. Let w = u - 36. Suppose -x = -2*v - 2*x + w, -5*x = 4*v - 60. What is the remainder when 38 is divided by v?
18
Let n(d) = 3*d**2 - 181*d - 570. Calculate the remainder when n(64) is divided by 41.
11
Calculate the remainder when 60514/26 + (-420)/910 is divided by 21.
17
Suppose 0 = 114*g - 104*g - 220. What is the remainder when 1187 is divided by g?
21
Suppose 283*f - 5 = z + 280*f, 20 = z + 2*f. Calculate the remainder when 4308 is divided by z.
8
Suppose -11*g - 1071 = -61*g + 1229. What is the remainder when 597 is divided by g?
45
Let s = 576 + -552. Suppose -5*w + 453 - 94 = 4*o, 0 = -2*o - 3*w + 179. What is the remainder when o is divided by s?
19
Let q be 40/(-10) + 4 + 0. Suppose -k + n - 18 = -2*k, q = -n - 4. What is the remainder when 57 is divided by k?
13
Suppose -45*w + 7044 + 2766 = 0. Calculate the remainder when 4793 is divided by w.
215
Suppose 0 = 29*p - 20*p - 45. Suppose -3*n - 206 = -4*c + 45, p*c - 319 = 2*n. Calculate the remainder when c is divided by 6.
5
Let f(d) = -44*d - 91. Let c(x) = 2*x**2 - 37*x + 2. Let r be c(18). What is the remainder when f(r) is divided by 22?
19
Let d = 108 - 110. Suppose 3*y - 21 = 6. Calculate the remainder when 33 - -5 - 10/d is divided by y.
7
Let u(c) = 84 - 36 - 35 - c. Let q be -8*(3/6 + -1). What is the remainder when 11 is divided by u(q)?
2
Let h(o) = -o**3 - 11*o**2 - 17*o - 14. Let v be h(-9). Let j(n) = 6*n + 148. What is the remainder when 64 is divided by j(v)?
4
Let g(w) = -w**2 + 6*w + 28. Let b be g(9). Let x(q) = q**3 - q**2. Let s be x(b). Suppose s = 5*m + 17 - 87. What is the remainder when 36 is divided by m?
8
Calculate the remainder when 1087 is divided by 22/((-30)/(-18) + 5/(-3) - -2).
9
Let d(u) = 46*u - 144. Suppose 5*z - 2*z + 4*g = 31, 0 = -3*z - g + 19. Calculate the remainder when d(z) is divided by 10.
6
Suppose -10*d + 36 + 74 = 0. Let r(q) = -23*q + 97. What is the remainder when d is divided by r(4)?
1
Let y(x) = -x**3 + 63*x**2 - 481*x - 182. What is the remainder when 3341 is divided by y(54)?
85
Suppose 0 = -5*t + 5*q + 325, -3*t + q = 2*t - 317. What is the remainder when 10708 is divided by t?
61
Let h = -6492 + 6669. What is the remainder when 873 is divided by h?
165
Let w be (-4)/10 - 88/(-20). Suppose -92 = -2*u - 4*v, v + 184 = w*u - 4*v. Suppose 3*a - 3 = o + u, 5*o = -5. Calculate the remainder when 78 is divided by a.
14
Suppose 4*s - 4*z - 14416 = 0, -s + 3608 = z + 2*z. Calculate the remainder when s is divided by 1198.
11
What is the remainder when (-3)/(((-60)/7315)/12) is divided by 10?
9
Suppose 0 = 4*q - 54 - 30. Suppose -1656 = 2*o - 3*l - 1780, l + 2 = 0. What is the remainder when o is divided by q?
17
Let u = -26 - -38. Calculate the remainder when (-16)/12*(-1062)/u is divided by 5.
3
Let y be 1/(-2)*6/(-1). Suppose -3*l + 58 = 4*c + 2*l, -c - y*l = -11. Let s = 1449 - 1439. Calculate the remainder when c is divided by s.
7
Let a = -61 + 65. Suppose 2*p = 5*w + 104, -a*p = p + 15. Let s(b) = -b**2 - 25*b - 53. What is the remainder when 49 is divided by s(w)?
10
Suppose -432 = -68*d + 59*d. What is the remainder when 1822 is divided by d?
46
Suppose 4649 = 2*f - 0*f - n, -5*f = n - 11633. Calculate the remainder when f is divided by 15.
1
Calculate the remainder when 349 is divided by 0 - -10 - ((-460)/(-138) - (-1)/(-3)).
6
Calculate the remainder when 41 - (-1 - 50/(-10) - 0/(-1)) is divided by 12.
1
Calculate the remainder when 9356/28 - 5 - 37/259 is divided by 38.
25
Let z = 20564 + -20541. What is the remainder when 1296 is divided by z?
8
Suppose 27945 = 26*w - 145111. Calculate the remainder when w is divided by 21.
20
Let x(i) = -2. Let h(w) = -7*w + 3. Let r(d) = -2*h(d) - 2*x(d). Let b be r(-3). What is the remainder when (b/60*-5)/(1/15) is divided by 14?
13
Let u(q) = 6*q**3 - q**2. Let t be u(1). Suppose 3*b + t = -4. Let s(f) = 4*f**2 + 6*f + 7. Calculate the remainder when s(b) is divided by 15.
10
Suppose 112*p = 3*c + 116*p - 91, 3*p - 148 = -5*c. Let u(y) = 66*y + 2. Let w be u(5). Let m = w + -189. Calculate the remainder when m is divided by c.
27
Let w = 43 - -12. Let i = 58 - w. Calculate the remainder when 137 is divided by (-1)/i - 106/(-3).
32
Suppose -525*d = -546*d + 1890. Calculate the remainder when 400 is divided by d.
40
Suppose 2*z = 2*y - 2122, -3*z + 1057 = -34*y + 35*y. What is the remainder when y is divided by 4?
0
Let c be 4/(-7) - 624/(-112). Suppose 51 = 2*f - v, -c*f + v = -139 + 13. Suppose 12*u - 504 = 5*u. Calculate the remainder when u is divided by f.
22
Suppose 942*w - 886*w = 3192. Calculate the remainder when 159 is divided by w.
45
What is the remainder when (-122)/732 + (-6422)/(-12) is divided by 9?
4
Let x = 1460 + -810. Calculate the remainder when x is divided by 211.
17
Let u(g) = -6*g + 96. Let o be u(9). Let t = 1 + -32. Let v = t + o. What is the remainder when 19 is divided by v?
8
Suppose -45 = -3*j + 9. Suppose -3*q = -1 - 11, 43*l + 4*q - 4230 = 0. What is the remainder when l is divided by j?
8
Let t(i) = -i**2 - 30*i + 973. Calculate the remainder when 770 is divided by t(-48).
7
Suppose -4*t + g = -12041, t + 7*g - 2984 = 11*g. Calculate the remainder when t is divided by 9.
6
What is the remainder when ((18/(-16))/(-1) - 1) + (-2252952)/(-832) is divided by 129?
128
Calculate the remainder when 332 is divided by (-2)/((-4232)/(-472) - 9).
37
Suppose -1342 = 387*v - 389*v + 4*g, 2*v - 1312 = -2*g. What is the remainder when v is divided by 652?
9
Let w(z) = z**2 + 9*z - 29. Let i(r) = r + 1. Let y(a) = -4*i(a) - w(a). What is the remainder when y(-13) is divided by 15?
10
Let v be (81/(-36))/(2/104). Let t = -72 - v. Let s(z) = z**3 + 7*z**2 - 11*z - 8. Calculate t