k + y = a*y - 100, k = 3*y + 88. Let v = -5 + k. Calculate the remainder when v is divided by 24.
20
Suppose 1570*h - 1569*h + 3 = 0, -3*i - 3*h + 126 = 0. Calculate the remainder when 488 is divided by i.
38
Suppose -4*s - 94 = -72*c + 71*c, -4*c - 11*s = -268. What is the remainder when c is divided by 74?
4
Suppose 0 = 10*s + s + 5511. Let j = s + 538. What is the remainder when 216 is divided by j?
31
Let i = -453 - -813. Let b = i + -204. What is the remainder when b is divided by 53?
50
Let c(g) = 3*g**2 - g + 2. Let u be c(-7). Suppose 2*b + u = -136. Calculate the remainder when b/(-10) - (-10)/25 is divided by 8.
7
Suppose 78*x - 76*x + 18 = 0. Calculate the remainder when 37 is divided by (x + (-12)/9*-3)/(-1).
2
Suppose -15 = -3*j, 85 = 2*n + 2*j - 3. Let b(l) = l**2 + 16*l - 74. What is the remainder when b(6) is divided by n?
19
Calculate the remainder when 779 is divided by (58/145)/((-3)/(-105)).
9
Let z(g) = -9*g + 99. Let c be z(10). Suppose -c*r + 25 = -83. Calculate the remainder when 23 is divided by r.
11
Suppose 238*p = -m + 242*p + 678, -3*m - 3*p + 2049 = 0. Calculate the remainder when m is divided by 222.
16
Let r be 20/(-3)*(-36)/(-48). Let s(w) = 3*w**2 + 7*w - 23. What is the remainder when s(r) is divided by 9?
8
Let h(n) = -7*n - 60. Let s be h(-10). Let u = -37 + 55. Calculate the remainder when (-652)/(-10) + 8/s is divided by u.
12
Let m = 389 + -31. Let z = m + -99. Calculate the remainder when z is divided by 65.
64
Let l = 37 + -22. Let w = l - 15. Suppose 2*a + 3*n = 8*n + 109, -n + 1 = w. What is the remainder when a is divided by 6?
3
Suppose 3*m + 2*w = 408, -3*w + 277 = 22*m - 20*m. Let v = -30 - -77. Calculate the remainder when m is divided by v.
40
Let k(d) = -6*d**2 - 100*d + 2994. Let l be 0/(-2) - 66/(-2). Suppose -19 = -4*i + l. What is the remainder when k(-32) is divided by i?
11
Let v be 3 - 3*6/(-9). Suppose -2*n = -v*n. Let o(k) = -k + 173. Calculate the remainder when o(n) is divided by 44.
41
Let r(k) = -8*k + 28. Let z be r(3). Suppose 0 = -4*h - z*i + 92, -i + 6*i = 4*h - 92. Calculate the remainder when 60 is divided by h.
14
Let l = -27900 - -31482. What is the remainder when l is divided by 398?
0
Let o(q) = 3*q - 8. Let k(t) = -21*t**2 - 603*t - 398. What is the remainder when k(-28) is divided by o(7)?
9
Suppose 2275 = 14*c + 763. Suppose 108*x - 114*x + c = 0. Suppose -o + 200 = 3*o. Calculate the remainder when o is divided by x.
14
Suppose -129*n - 41*n + 126705 = -76275. What is the remainder when n is divided by 21?
18
Suppose -707 - 523 = -21*b - 20*b. What is the remainder when 1109 is divided by b?
29
Let y be (-86950)/100 + 2/4. Let t = y + 1060. Suppose 2*o + 3*v = 54, -5*o = -0*o + 4*v - 128. Calculate the remainder when t is divided by o.
23
Suppose -2*s - 4*g + 422 = 0, 157 = 2*s - 4*g - 265. Let d = s - 107. What is the remainder when d is divided by 15?
14
Let c = -131 + 138. Suppose 2*r + 262 = f + c*r, -r + 560 = 2*f. Calculate the remainder when f is divided by 57.
54
Suppose -5*s - s + 809 = y, 3*y - 283 = -2*s. What is the remainder when 253 is divided by s?
119
Suppose 4*x + 5*i + 147 = 6*x, 15 = 3*i. Suppose -11 + 61 = -2*p. Let d = p + x. Calculate the remainder when d is divided by 16.
13
Suppose -316 - 184 = -4*k. Suppose -b = 9*b - 80. Calculate the remainder when k is divided by b.
5
Let a be ((-2)/(-4))/(57/(-228)). What is the remainder when (-20)/(-10) - 2*503/a is divided by 85?
80
Suppose 5*w - v = -3, 2*w + 5*v - 6 = 9. Suppose w = 7*o - 6*o - 14. Let b(f) = -f**3 - 5*f**2 - 5*f + 1. Calculate the remainder when b(-5) is divided by o.
12
Let d be ((-7)/(84/(-8)))/((-4)/(-30)). Suppose 3*k - p - 62 - 50 = 0, -k + 14 = -d*p. Let j = k - 5. What is the remainder when j is divided by 21?
13
Let n be ((-6)/(-8))/((-22)/(-2024)). Let k = 127 - n. Suppose 39 = -3*b + 3*t + 120, 4*b - 5*t - 105 = 0. What is the remainder when k is divided by b?
28
Let q = 27398 - 23111. Calculate the remainder when q is divided by 5.
2
Suppose 0 = 2*n + 10, -4*o - 3*n = -0*o + 7. Suppose o*x = 244 + 652. What is the remainder when x is divided by 75?
73
Let f = 1244 - 819. Let b = -392 + f. Calculate the remainder when 1054 is divided by b.
31
Suppose 116*d + 124*d = 68*d + 23220. Calculate the remainder when 264 is divided by d.
129
Let h(x) = -x + 1. Let z(l) = l - 2. Let o(i) = -3*h(i) - 2*z(i). Let t = 84 - 67. Calculate the remainder when t is divided by o(3).
1
Suppose 5 = 3*o + 2*o + 3*u, 4*o - 11 = -u. Calculate the remainder when (-45)/(-60) + 89/o is divided by 3.
2
Let f = 648 - 618. What is the remainder when 1766 is divided by f?
26
Suppose 2*i = 178 + 108. Let a = 512 - 471. Calculate the remainder when i is divided by a.
20
Suppose -20*q = -22*q - 38. Let n be ((-62)/3)/(10/(-15)). Let f = n + q. Calculate the remainder when 81 is divided by f.
9
Let k = -176 - -252. Calculate the remainder when k is divided by 3*2*(-9)/216*-104.
24
Let m(g) = -6*g + 7. Let p be m(-1). Suppose 0 = -3*n + 4*o - p, 7 + 0 = -n + 4*o. Calculate the remainder when 9 is divided by (1/(-1) + -1)/(-5 - n).
0
Suppose -285*s = -19581 - 20034. Suppose 2*z - 14 = -0*z. What is the remainder when s is divided by z?
6
Let k be 0/((-6)/(12 - 6)). What is the remainder when k/(3 - (-5)/(-5)) - -68 is divided by 9?
5
Suppose 6*c - 59 = 1. Suppose -9*y = -19*y + c. What is the remainder when 2 is divided by y?
0
Let m be (-3)/((3/(-2))/(5/2)). Suppose 53 = -m*c + 13. What is the remainder when 112 is divided by ((4 - c)/6)/((-2)/(-29))?
25
Suppose 53 = -4*b + 329. Let v(x) = 1841*x - 10842. What is the remainder when v(6) is divided by b?
66
Suppose 5*w = -5*f - 136 - 274, 3*w - f = -246. Let x = w - -136. What is the remainder when x is divided by 43?
11
Suppose -2*d - 1 = -2*y + y, 1 = -5*d + 3*y. Suppose w + 5*v - 73 = 0, 0*w - v = 4*w - 235. Calculate the remainder when w is divided by (-1904)/(-63) - d/(-9).
28
Suppose b = -g + 21, -2*b - 3*g = -0*g - 39. Suppose -b*j = -23*j - 25. Let n(s) = s**3 - 9*s**2 - 15*s - 4. Calculate the remainder when n(11) is divided by j.
23
Suppose 947*w = 3*r + 951*w - 22, -3*r = 2*w - 38. What is the remainder when 2*14 + 1 + -3 is divided by r?
8
Suppose -3*p - 6*p + 1264 = -302. What is the remainder when p is divided by 44?
42
Let y(s) = 3*s**2 - 28*s + 34. Let z be y(14). Let g = z - 137. What is the remainder when g is divided by 12?
9
Suppose -4*x = -7 - 13. Suppose 4 = x*p - 11. Suppose -c - p = 0, -2*t = t + 3*c - 21. What is the remainder when 36 is divided by t?
6
Suppose 71*v - 4606 = 197 - 756. Calculate the remainder when (-2)/7 - 1192/(-7) is divided by v.
56
Suppose 38*m - 32490 = -52*m. Suppose -7*i = -m + 326. Suppose -5*c - 11 = -31. What is the remainder when i is divided by c?
1
Suppose 0 = 9*d - 2*d - 147. Let h(u) = 79*u**2 + 84*u + 84. What is the remainder when h(-1) is divided by d?
16
Let n = 39 + -15. Calculate the remainder when (-3903)/(-42) + (-32)/(-448) is divided by n.
21
Let r = -21 - -25. Suppose -r*w + 6 = -310. Calculate the remainder when w is divided by ((-126)/(-27))/(4/18).
16
Suppose -3*v - 9 = 3*c, c = -2*v + 5*c - 12. Suppose -6*a = a - 84. What is the remainder when 2/v - (-87)/2 is divided by a?
7
Let i = -2447 - -3866. Suppose -115*v = -112*v - i. Calculate the remainder when v is divided by 19.
17
Let f be (6084/(-130))/((-6)/20). Suppose -368 = -172*b + f*b. What is the remainder when 272 is divided by b?
19
Let p = 7 - -2. Let f = 1367 + -1361. Calculate the remainder when (-6)/p*(-45)/2 is divided by f.
3
Suppose -s + 4 = -0*s. Let j = 165004 + -164991. What is the remainder when j is divided by (10/4 - 2)*s?
1
Suppose 0 = 2*n - 14, 0 = 13*w - 12*w - 5*n + 19. What is the remainder when 3272 is divided by w?
8
Suppose 230*u + 1798 = 288*u. Suppose 4*m = 182 + 246. What is the remainder when m is divided by u?
14
Let a(w) = 10*w**2 - 48*w + 293. Calculate the remainder when a(5) is divided by 152.
151
What is the remainder when 388 is divided by 0/2 + 72 - (-103)/((-1957)/(-114))?
76
Suppose 464*g + 3*q = 466*g - 261, 0 = 5*q + 5. Calculate the remainder when 496 is divided by g.
109
Let z(l) = -2*l**2 - 17*l + 283. Let w(y) = y**2 + 8*y - 141. Let q(g) = -5*w(g) - 2*z(g). Calculate the remainder when