o**2 - 7*o**2 + 0*o**2 + 1. Suppose -4*c - 5*x = -30 + 31, -c = x + 1. Calculate the remainder when 33 is divided by q(c).
16
Let x(b) = b**2 - b + 72. Suppose -18*u = -19*u. Suppose r = 18*r - 323. What is the remainder when x(u) is divided by r?
15
Let w be 3*(-460)/(-15) + 5. Suppose 7*t + w = 454. Suppose -310 = -5*k + 705. What is the remainder when k is divided by t?
50
Suppose -173*d = -171*d - 2, -s + 3*d + 645 = 0. Calculate the remainder when s is divided by 195.
63
Suppose 23*y = 2313 - 243. What is the remainder when y is divided by (46/(-8))/(-2*(-6)/(-48))?
21
Suppose 2*f - 5 + 1 = 0. Let k be f*167*(-4 + (-54)/(-12)). Suppose 3*g + 5*l = 4*g - 43, 5*g = l + k. Calculate the remainder when 97 is divided by g.
31
Let s(y) = -37*y + 38. Let i be s(6). What is the remainder when (-1)/(6/i) + 5/15 is divided by 8?
7
Let u(m) = -m**2 + 8*m + 14. Suppose -7 = -9*f + 101. Let a be (3/f)/(1/32). What is the remainder when 68 is divided by u(a)?
12
Let u(f) = f**2 + 5*f - 11. Suppose 0 = -5*s - 2*i + 7*i - 45, 5*s - 3*i = -43. Let l be u(s). Let v = 14 + l. Calculate the remainder when v is divided by 6.
3
Suppose -2*x + 0*x = 12. Let m(h) be the third derivative of h**5/60 + 7*h**4/24 + 2*h**3 - 391*h**2 - 1. Calculate the remainder when m(x) is divided by 1.
0
Suppose -7*r + 0*r = -49. Let b(i) = 51*i - 6*i + 20*i - 1 + r*i. Calculate the remainder when b(1) is divided by 36.
35
Let b = -17631 + 17766. Let k = 11 + -3. What is the remainder when b is divided by k?
7
Let h = 126 + -75. Suppose 3 = 8*f + h. Calculate the remainder when 141 is divided by (-4 - 52/(-3))*f/(-5).
13
Suppose 0 = -d - 36 + 135. Let u be 43/(-43)*(0 + 18). What is the remainder when 19 is divided by (-4)/2*d/u?
8
Suppose 4*b - 52 = -5*g, -2*b = -2*g - g + 40. What is the remainder when 34 - 12*8/(-4 - -36) is divided by g?
7
Suppose -c + 4*x = -28, c + 4*x = x. Let s = 237 + -166. Calculate the remainder when s is divided by c.
11
Calculate the remainder when 4/(28/385)*(-12)/(-10) is divided by 35.
31
Let o = -215 - -234. Calculate the remainder when -1 + (-14)/(-3)*78/4 is divided by o.
14
Let x(d) = -8*d - 10. Let u(w) = 2*w + 19. Let t(r) = -11*r + 65. Let b be t(7). Let l be u(b). Calculate the remainder when 55 is divided by x(l).
25
Suppose 7956 = 79*c - 43*c. What is the remainder when 6186 is divided by c?
219
Suppose 9131*p = 9133*p - 60. What is the remainder when 1379 is divided by p?
29
Let a(f) = -2*f**3 - 117*f**2 - 174*f + 191. Calculate the remainder when 1449 is divided by a(-57).
1
Let w = 6182 + -6145. Calculate the remainder when 231 is divided by w.
9
Let j = -6685 - -11739. Calculate the remainder when j is divided by 15.
14
Let y(x) = -4*x + 56. Calculate the remainder when (-9477)/(-156) + 1/4 is divided by y(6).
29
Suppose 17695 = 5*v - 5*z, 3*v - 8*v + z + 17671 = 0. Calculate the remainder when v is divided by 13.
10
Suppose 17222 = 50*l - 8378. What is the remainder when l is divided by 81?
26
Suppose 10*h = 12*h, 2*m = -2*h + 14. Suppose -m*k = -k - 1368. Calculate the remainder when k is divided by 48.
36
Suppose -r = 43*c - 41*c - 375, -1514 = -4*r - c. What is the remainder when r is divided by 27?
1
Let k be ((-257)/2 + -5)/((-6)/32). Suppose -474 = -2*r - 6*h + 2*h, -3*r - 5*h = -k. What is the remainder when r is divided by 22?
19
Let d = -6881 + 6924. What is the remainder when 661 is divided by d?
16
Calculate the remainder when 131573/117 + (56/(-36) - -2) is divided by 39.
33
Let i(p) = p**2 - 48*p - 1358. Calculate the remainder when 5729 is divided by i(-21).
87
Let a(z) = -z**3 + 14*z**2 + 2*z - 14. Let t = 154 + -22. What is the remainder when t is divided by a(14)?
6
Let g = 34 - 17. Let x = -38678 + 38876. Calculate the remainder when x is divided by g.
11
Let j(c) = -c**2 - 58*c - 197. What is the remainder when j(-20) is divided by 15?
8
Let l(c) = 10*c**2 + 174*c. Calculate the remainder when 322 is divided by l(-18).
106
Suppose i - 32 = -b + 5*b, 0 = 5*b + 15. Let a = i - -5. Calculate the remainder when a is divided by 41/3 + 3/9.
11
Suppose -2*w = -y - 44, 2*w - 33*y = -15*y + 78. Calculate the remainder when (122/4)/(3/6) is divided by w.
19
Suppose 5*r + 46 - 196 = 315. What is the remainder when 566 is divided by r?
8
Suppose 2*u = 5*a + 53, 3*a + 199 = -28*u + 33*u. Calculate the remainder when 1066 is divided by u.
10
Let a = -199 - -182. Let t = a + 63. What is the remainder when 135 is divided by t?
43
Calculate the remainder when 412 is divided by (-24156)/(-220) + 8/(-10).
85
What is the remainder when 1234 is divided by 22*(-2)/(-8) - (-40)/(-80)?
4
Let g(u) = 9*u**2 + 45*u - 305. What is the remainder when g(7) is divided by 21?
10
Suppose -3*y - 6 = -3*c - 78, -4*c - 12 = 0. Suppose 12694 = -k + 12697. What is the remainder when y is divided by k?
0
Let y = -8309 - -8802. Calculate the remainder when 1001 is divided by y.
15
Suppose -5*m + 4*n + 1317 = -3, -4*m + 3*n = -1057. What is the remainder when m is divided by 132?
4
Let n = 34294 + -34159. Let i(s) = -s**2 - 11*s - 12. Let f be i(-10). Calculate the remainder when n is divided by ((-51)/12)/(f/8).
16
Calculate the remainder when -2*((-254)/4 + 2) is divided by 6/(6/21 + 0).
18
Suppose w + 4*q - 111 = 0, q = -0 - 1. Let x = w + 8. Calculate the remainder when x is divided by 39.
6
Suppose -2*k + 629 - 569 = -4*b, -5*b - 62 = -2*k. Calculate the remainder when k is divided by (10/(-8))/((-1)/16).
6
Suppose 18 = 3*g - g. Suppose 65*w = 62*w. Suppose -4*a - 6*a + 150 = w. Calculate the remainder when a is divided by g.
6
Suppose 3*w = 4*a + 90, 5*w - 4*a - 19 = 123. Suppose 28*c - w*c = 786. Calculate the remainder when c is divided by 36.
33
Suppose -21*i + 621 + 6918 = 0. Calculate the remainder when i is divided by 104.
47
Let g = 409 + -376. What is the remainder when 44 is divided by ((-18)/21)/(g/(-1078))?
16
Let k(f) = 22*f**2 - 2*f - 3. Let x be k(1). Let c(u) = -2*u + 44. Calculate the remainder when 42 is divided by c(x).
2
What is the remainder when (-179 - -1)/(36/(-486) + 44/(-135)) is divided by 11?
5
Let d = 175 + -137. Suppose 2*i - 11 - d = r, 3*i - r - 71 = 0. What is the remainder when 34 is divided by i?
12
Let u be (36/(-54))/((-6)/(-9)). Calculate the remainder when (3 - 10/(-3))/(u/(-15)) is divided by 12.
11
Suppose 4*b + v = 10, -5*b + 4*v - 1 = -3. Calculate the remainder when b/(-2)*((7 - 4) + -81) is divided by 16.
14
Let w(u) = -3*u**3 + 82*u**2 + 14*u + 193. Calculate the remainder when w(27) is divided by 258.
10
Let k = -233 - -266. Suppose k*i = 11*i + 5522. What is the remainder when i is divided by 23?
21
Suppose 10 = -7*l + 9*l. Let y be ((-44)/(-16) + -3)/((-7)/28). Calculate the remainder when (l - 7)/(((-4)/86)/y) is divided by 12.
7
Let y = -25 - -76. Let r = y - 12. Let w = -181 - -412. What is the remainder when w is divided by r?
36
Let k = -5 - -4. Let x = k + 7. Suppose 161*i + 14 = 168*i. Calculate the remainder when x is divided by i.
0
Let t be 18/(-16)*(-160)/30. Calculate the remainder when ((-69)/t - -2)/((-5)/30) is divided by 24.
9
Suppose -60*x = 92 - 229 - 103. Calculate the remainder when 5/3*(19 - -2) is divided by x.
3
Let w = 342 - 223. Suppose 0 = -2*d - j - 266, 5*j = 2*d + 171 + w. What is the remainder when 11 - d - (1 - -2) is divided by 8?
7
Let b(w) = 6*w**2 + 59*w + 69. Calculate the remainder when b(-16) is divided by 244.
173
Suppose 12*b - 6 - 186 = 0. Suppose 13*t = 9*t + b. Let k(v) = v**2 + 2*v - 5. Calculate the remainder when k(-5) is divided by t.
2
Let x(l) = l + 22. Let t be x(-27). What is the remainder when (-1)/((-84)/(-17) + t) + 3 is divided by 10?
0
Suppose -3*o - 5*w + 28313 = 0, -4*w + 33585 = 4*o - 4155. What is the remainder when o is divided by 18?
17
Suppose 21 = -0*z + z. What is the remainder when 0/1 - (116/290 - 974/10) is divided by z?
13
Suppose 4*l = -3*f + 1937 + 183, -l - 3*f = -539. Suppose -2*r - 96 = 5*m - l, -r = -3*m - 221. Calculate the remainder when r is divided by 37.
33
Let c(x) = 5*x**2 + 258*x + 1323. Let l(j) = j - 8. Let u be l(8). Suppose 0 = -3*g - u*g + 36. What is the remainder when c(-46) is divided by g?
11
Let l(h) = 148*h**2 - 377*h - 1134. Calculate the remainder when l(-3) is divided by 9.
6
Let o be 12*((-3)/(-18) - 