 z(k) = k + 94. Let d be z(-30). Suppose -d*t - 34 = -66*t. What is the remainder when t is divided by (-1 - -2)/((-8)/(-24))?
2
Suppose -3*k - 69 = -258. Let c = 12 - 8. Suppose -p - w + 25 = 0, 4*p - c*w = -2 + 78. What is the remainder when k is divided by p?
19
Suppose -5*q + 126 = -2*y, -q + 30 = -3*y + y. Calculate the remainder when q is divided by 6/(-8) + (-624)/(-64).
6
Let y = 47 + -44. Suppose 44 = -t - y*t. Let f(a) = -10*a + 12. Calculate the remainder when f(t) is divided by 31.
29
Let g = -958 - -443. Let b = 536 + g. Calculate the remainder when 123 is divided by b.
18
Let s(v) = v**3 - 58*v**2 - 10*v + 1410. What is the remainder when s(58) is divided by 69?
2
Let o(c) = 2*c - 14 + c**3 + 15*c**2 + 19*c**2 - 53*c**2 + 14*c**2. What is the remainder when o(6) is divided by 10?
4
Let u(n) = 6*n**2 + 69*n + 295. What is the remainder when 1249 is divided by u(-7)?
83
Suppose -23835*o = -23817*o - 1044. Calculate the remainder when 753 is divided by o.
57
Suppose -2*u = -u - 103. Calculate the remainder when u is divided by ((151050/(-133))/50)/((-6)/14).
50
Suppose y + 218 = 2*y - b, y + b - 228 = 0. Let q = y - 153. Calculate the remainder when 26 is divided by (-56)/q*(-70)/4.
12
Let l = 206700 - 206681. Suppose 418 = 5*x - 292. What is the remainder when x is divided by l?
9
Let u(t) = 110*t - 1329. Calculate the remainder when 1910 is divided by u(13).
92
Let j(c) = 17*c**3 + c**2 - 3*c + 1. Suppose 5 = 8*r - 3. What is the remainder when j(r) is divided by 8?
0
Let i = 16 - 9. Suppose -16*g + 1111 = -5*g. Let d = g + -82. What is the remainder when d is divided by i?
5
Suppose 3*k = k + 34. Let p be -5 - ((-10)/20 + 37/(-2)). Suppose p*f - 18*f = -3*x + 342, 3*f = 5*x - 581. Calculate the remainder when x is divided by k.
16
Suppose -73*j = -63*j - 1700. Suppose -2*o = q - j, -4*o + 31*q = 30*q - 340. What is the remainder when o is divided by 8?
5
Let g = -8456 - -9925. Calculate the remainder when g is divided by 22.
17
Let n be ((-24)/20)/(6/(-20)). Suppose 344 = n*j + 80. Let i = j + -52. Calculate the remainder when 38 is divided by i.
10
Let b(m) = 8*m**2 + 5*m + 13. Let u be b(-3). Let v = 67 - u. Calculate the remainder when 101 is divided by v/(-12) - (-206)/8.
23
Let i(q) = q**2 - 1. Let c be i(2). Let k be 3/(c/24*-22 + 2). Let y(r) = 2*r**2 + 6*r + 1. What is the remainder when 11 is divided by y(k)?
2
Let t be (353 - (3 - 6))/2. Suppose p = 5*o - 886, 3*o - 4*o = -p - t. Calculate the remainder when o is divided by 12.
9
Let s(g) = 28*g**2 + 123*g + 155. Let a(t) = -10*t**2 - 41*t - 52. Let b(y) = -11*a(y) - 4*s(y). Calculate the remainder when 151 is divided by b(-19).
7
Suppose 4*d = -c + 228, 4*c - 388 = 5*d - 694. Let r(u) = -u**2 + 20. Calculate the remainder when d is divided by r(0).
18
Let b = -3799 + 3833. Let u(c) = 5*c**2 - 3*c + 1. What is the remainder when b is divided by u(2)?
4
Let y = -4543 - -4633. Calculate the remainder when 440 is divided by y.
80
Suppose 5*n - 30 = 0, 8*n - 10*n = 17*i - 61943. What is the remainder when i is divided by 81?
79
Suppose 0 = -r + 5*a + 136, r - 2282*a = -2284*a + 129. What is the remainder when r is divided by 106?
25
Let g = -4961 + 5206. Calculate the remainder when g is divided by 109.
27
Let d(c) = -34*c**2 + 5*c + 20*c**3 - 19*c**3 + 43*c**2 + 7. Suppose 3*v - 3 - 12 = 0, -q + 4*v = 28. Calculate the remainder when d(q) is divided by 8.
7
What is the remainder when 1119 is divided by ((-12)/(-14))/((-303)/(-2828))?
7
Let w(y) = 100*y + 1208. What is the remainder when w(18) is divided by 59?
58
Suppose -37*f - 190 + 7220 = 0. Calculate the remainder when f is divided by 71.
48
Let w = -8565 - -8568. What is the remainder when -1*44/(-8)*6 is divided by w?
0
Let g(x) = 3*x - 29. Let b be g(10). Let f be b/5 + (-126)/(-45). Suppose -t + 121 - 1 = 3*c, f*c - 3*t = 132. What is the remainder when c is divided by 14?
13
Let z(j) = 0*j**3 + 5*j**2 + 2*j**3 - 12*j + 0*j**3 + 14*j**2 + 8. Let x(c) = 2*c**2 + c + 4. What is the remainder when x(6) is divided by z(-10)?
26
Let q(h) = -h**3 - 77*h**2 - 96*h - 7244. Let u be (1 - 3/2)*138. Let p = u + 107. Calculate the remainder when q(-77) is divided by p.
34
Let g = 1427 + -1111. What is the remainder when g is divided by 101?
13
Let b = -51952 - -51998. Let c(r) = -r**2 - 7*r - 6. Let d be c(-5). Let i = 14 + d. Calculate the remainder when b is divided by i.
10
Let i(h) = 1140*h + 224595. Let z(w) = 1 + w**3 + 2 + 0*w**3 - w. Calculate the remainder when z(3) is divided by i(-197).
12
What is the remainder when (2892/(-28))/(-13 + 360/28) is divided by 25?
23
Suppose 2*x = 5*x - 54. Suppose -17*g = -7 + 7. Suppose j + 5 = 0, -4*j + g*j = 4*v - 328. Calculate the remainder when v is divided by x.
15
Let j = -201 + 252. Let v = j + -31. Let r = -28 - -62. Calculate the remainder when r is divided by v.
14
Calculate the remainder when 1 - (8 - 22)*(-133)/(-7) is divided by 57.
39
Let o(i) = 18*i - 51. Let p be o(3). What is the remainder when (-1 + 0/p)/(2/(-322)) is divided by 27?
26
Let h(d) = -5*d + 38. Let l(t) = t + 1. Let k(w) = h(w) + 4*l(w). What is the remainder when 233 is divided by k(3)?
38
Suppose 84 + 15 = 5*k - w, 2*k + 9 = -5*w. What is the remainder when 35079 is divided by k?
15
Let l(c) = -c**3 - 2*c**2 + 2*c + 3. Let z be 20/4*((-16)/10)/2. What is the remainder when (-24)/(-84) + (1140/(-7))/z is divided by l(-3)?
5
Let g(m) = -5*m + 52. Let s be g(10). Suppose 35 = 2*n - d, 7 = 3*d - s. Calculate the remainder when 29 is divided by n.
10
Let a = 174 + -141. Suppose -9*d + 222 = a. What is the remainder when 26 is divided by d?
5
Let g(b) = b**2 - 11*b + 2. Let d be g(11). Suppose d*r + 32 = 102. What is the remainder when 120 is divided by r?
15
Let c = 174 - 92. Let u = 370 - 353. Suppose -98 + 574 = u*n. Calculate the remainder when c is divided by n.
26
Suppose -4*s - s + 5*h - 85 = 0, -3*h = -s - 27. Let c be 49/(-7)*(1 + s). Calculate the remainder when 858/14 + (-22)/c is divided by 31.
30
Suppose -4*i + 417 = -i. Calculate the remainder when i is divided by (-3)/(60/(-376))*(-130)/(-52).
45
Suppose -44 = 3*q + 3*z + 16, -4*q - 5*z - 83 = 0. Let v = q + 23. Suppose v*f - 90 = -0. Calculate the remainder when 26 is divided by f.
11
Suppose 18*y - 377 = 847. Suppose -4*l + 2 = -5*p - y, -2*p + 71 = 5*l. Let t = 250 + -176. Calculate the remainder when t is divided by l.
14
Let t(d) = -295*d - 773. Calculate the remainder when 648 is divided by t(-3).
88
Suppose -198*k + 553 + 1361 = -24*k. What is the remainder when 1 - (-272 - (1 - 1)) is divided by k?
9
Let f(l) = 17*l - 391. What is the remainder when f(30) is divided by 99?
20
Let z(c) be the third derivative of -7*c**4/24 - 47*c**3/3 - 149*c**2. What is the remainder when 41 is divided by z(-16)?
5
Calculate the remainder when (-7)/(21/10)*31482/(-330) is divided by 20.
18
Suppose r = -3*t - 307 + 809, 0 = 5*t - 3*r - 832. Calculate the remainder when 529 is divided by t.
28
Let a(l) = l**3 + 8*l**2 - 8*l - 1. Let b be (2 - 7)*(-3)/15. What is the remainder when a(-8) is divided by (b - 0) + 36/3?
11
Let l(p) = 2*p**2 + 66*p + 62. Calculate the remainder when l(-41) is divided by 72.
70
Let j = 505 + -244. Suppose 6*d - 2*x - j = 3*d, d + x - 92 = 0. What is the remainder when d is divided by 23?
20
Let w = -710 - -703. Let i = w - -159. What is the remainder when i is divided by 12?
8
Calculate the remainder when (-1*121)/((1617/(-210))/77) is divided by 408.
394
Suppose -l + 6 = 3. Suppose 3*w - 15 = 2*z, -l*w - 2*w + 4*z + 23 = 0. Suppose 33*b + 0 + 2057 = 154*b. What is the remainder when b is divided by w?
3
Let i = -50 + 45. Let z be (-1064)/i - -4 - 2/(-10). Suppose -221 = -2*r + z. What is the remainder when r is divided by 55?
54
Suppose 0 = -x + 13 + 1. Calculate the remainder when 8 - (20/(-130))/((-3)/39) - -19 is divided by x.
11
Let s = 1675 - 1665. What is the remainder when 3826 is divided by s?
6
What is the remainder when (38 - (-2 + 3))/(-16 + (-12 - -29)) is divided by 5?
2
Suppose 5*r - 6503 = -3*k + 8425, -2994 = -r - 2*k. What is the remainder when r is divided by 992?
6
Let g(d) = -d**3 + 6*d**2 - 10*d + 9. Let x be g(3). Suppose 24 + x = 5*i. What is the remainder when 9 is divided by i?
3
Suppose 5 = 2*