6). Let z = y + x. Calculate the remainder when 65 is divided by z.
21
Let y(i) = -i**3 + i. Let c be y(2). Let u(o) = -o**3 - 7*o**2 - 7*o + 2. Calculate the remainder when (5/10 - 0)*26 is divided by u(c).
5
Calculate the remainder when ((10 - 92)/2)/(3/(-93)) is divided by 106.
105
Suppose 0 = -c - 13*c + 210. Calculate the remainder when 1319 is divided by c.
14
Calculate the remainder when 618 is divided by (-5)/((-4)/12*3) + 5.
8
Suppose 13 = c - 34. Let r = -51 - -74. Suppose 83 = 5*a + r. What is the remainder when c is divided by a?
11
Let c(s) = s - 1. Suppose -101 = -7*p + 4. Calculate the remainder when (20/(-6))/((-3)/36) is divided by c(p).
12
Let y(l) = -l**3 - 5*l**2 - 4*l + 12. Suppose -q = v - 3 + 5, -5 = 4*v + 5*q. What is the remainder when 91 is divided by y(v)?
27
Let b = 43 + -37. Suppose 0 = -4*q + 5*v + 37 - b, -4*q = -3*v - 41. Calculate the remainder when q is divided by 8.
6
Let q(b) = b - 1. Let o(r) = -r + 1. Let p be o(-6). Let s be q(p). Let i = 13 - s. Calculate the remainder when i is divided by 5.
2
Suppose -129 + 654 = 5*y. Suppose 3*h = 2*k - y, -20 - 145 = -4*k - 3*h. What is the remainder when 85 is divided by k?
40
Suppose -95*k + 92*k = -2151. Calculate the remainder when k is divided by 45.
42
Let o(w) = -2*w**3 - 4*w**2 - 4*w - 3. Let s be o(-2). Suppose 0 = -s*q - 2*h + 6*h + 131, -5*q + 137 = 2*h. What is the remainder when q is divided by 10?
7
Let x = -340 + 831. What is the remainder when x is divided by 13?
10
Let z(y) = -y**2 - 6*y + 10. Let v be z(-7). Suppose -2*h + v*h = 37. Suppose 0 = -2*k - 0*k + 38. Calculate the remainder when h is divided by k.
18
Suppose -48*y = -58*y + 9060. Calculate the remainder when y is divided by 57.
51
Suppose 2*r + 3*w = 6*r - 105, 115 = 4*r - w. Suppose 0 = f - 6*f + 140. What is the remainder when f is divided by (-5 - 0)/((-235)/r + 7)?
4
Suppose 34033 = 60*i + 7873. Calculate the remainder when i is divided by 21.
16
Suppose -3*u + 17 = v, 4*v = 2*u - 41 + 123. What is the remainder when 736 is divided by v?
16
Suppose -2*d - 228 = -4*y, -4*y - 5*d + d + 240 = 0. Let x = -42 + y. What is the remainder when 46 is divided by x?
14
Let r = -2 + 33. Let m(p) = -p**2 + 13*p - 1. What is the remainder when r is divided by m(12)?
9
Let y = 2 - -1. Suppose 5*r + 251 = q - 48, -297 = 5*r - y*q. Let a = r - -90. What is the remainder when a is divided by 16?
14
Let z be (-46 - -43)/(0 - 3/146). Let c = z - 134. What is the remainder when c is divided by 8?
4
Let h = 248 - 209. What is the remainder when 153 is divided by h?
36
Let u = -22 + 47. Let m = u - 17. Suppose q - 7 = -3*y - 2, 2*q - 2*y - 10 = 0. Calculate the remainder when m is divided by q.
3
Let w(z) = z**3 - 22*z**2 - 23*z + 3. Calculate the remainder when 401 is divided by w(23).
2
Let p(g) = -g**2 + 48*g - 180. Calculate the remainder when 454 is divided by p(43).
34
Suppose 5*k = -3*q + 406, -143*q - k = -138*q - 662. What is the remainder when 1185 is divided by q?
129
Suppose 37*j - 1287 = -140. Calculate the remainder when 223 is divided by j.
6
Let k = 8 - -14. Calculate the remainder when 5 - -1*4*1751/68 is divided by k.
20
Let v = -712 - -715. Suppose -x + 3*x = 2*j - 88, 2*j = -2*x + 96. Calculate the remainder when j is divided by v.
1
Let l = -53 - -59. Calculate the remainder when (l + -5 + -11)/(1/(-5)) is divided by 28.
22
Suppose -68 = -4*h + 2*k, -k = 4*h - 8 - 60. Suppose 67*f - 3624 = -274. Calculate the remainder when f is divided by h.
16
Let n = -2 + -5. What is the remainder when (2 - 58/n)/(2/14) is divided by 38?
34
Let n = -8 - -11. Suppose 0 = u - 2 + 1. What is the remainder when n is divided by u?
0
Let w = -13 - -18. Calculate the remainder when -2*w*16/(-5) is divided by 15/5*3 - (0 + -2).
10
Calculate the remainder when (-108)/((19/(-57))/((-2)/(-4))) is divided by 45.
27
Let u = -7 + 36. What is the remainder when 3/(-2)*(-1 + -57 + (-69 - -73)) is divided by u?
23
Let n = -98 + 142. What is the remainder when 173 is divided by n?
41
Suppose 752*s = 755*s - 129. Calculate the remainder when s is divided by 5.
3
Let j(i) = -i**2 + 19*i - 19. Let m = 24 - 8. Suppose g + 0*g = m. Calculate the remainder when j(16) is divided by g.
13
Suppose -73*t + 78*t - 40 = 0. Let r = -9 - -9. What is the remainder when t is divided by r + 6/(-4)*-2?
2
Suppose 40 = -2*j + 780. Suppose j = 2*q + 4*s, 2*q + 748 = 6*q + 4*s. Suppose 0*c = -3*c + q. What is the remainder when c is divided by 16?
15
Let c(a) = a**3 + 10*a**2 + 7*a - 13. Let y be c(-9). Suppose -y*o = -7 - 13. What is the remainder when 38 is divided by o/((4/(-10))/(-1))?
8
Let b be (-3)/2*(6 - 8). Suppose 3*i + b*i = 102. What is the remainder when i is divided by 9?
8
Let f be -1*(-1 + (2 + 0)/(-2)). Suppose -l + 5 = -t, 0*l - l = -f*t. What is the remainder when 98 is divided by l?
8
Calculate the remainder when 123 is divided by (-30646)/(-1540) - (-1)/10.
3
Let k(s) = s**2 + s. Let t(r) be the first derivative of r**3 + 11*r**2/2 - 2. Let u(l) = -4*k(l) + t(l). Calculate the remainder when u(4) is divided by 7.
5
Let p(c) = c**2 + 17*c + 74. Suppose 5*s + 37 - 97 = 5*z, -2*s - 2*z + 24 = 0. Calculate the remainder when s is divided by p(-9).
0
Let b(g) = g**3 + 6*g**2 + 6*g + 8. Let y be (-6)/(-24) - 51/12. Calculate the remainder when 158 is divided by b(y).
14
Suppose -q + 3*w + 7 = 0, -2*w = 7*q - 9*q + 26. Suppose -2*m + 6 = -6. Calculate the remainder when q is divided by m.
4
Let w = 99 + -71. Calculate the remainder when w is divided by 10.
8
Let y(j) = j**2 + 7*j + 17. Let u be 4*3*((-70)/15)/7. What is the remainder when 98 is divided by y(u)?
23
Calculate the remainder when (-12)/108 - 3242/(-18) is divided by 92.
88
Suppose -3*n + 147 = 3*s, 3*n - 3*s = -s + 132. Let j(w) = -8*w**2 - 38*w + 22. What is the remainder when n is divided by j(-5)?
10
Suppose 7 = -5*i + 22. Suppose 4*o - 98 = -0*v - 2*v, -v = -i*o + 61. Calculate the remainder when 77 is divided by o.
11
Suppose 0 = -4*l + 55 - 167. Let d = l + 49. Suppose -2*z + 160 = 3*h, -5*z + z = 3*h - 326. What is the remainder when z is divided by d?
20
Let b = 630 - 621. What is the remainder when 30 is divided by b?
3
Suppose -b - 5*t = 19, t + 2 = -b + 3. Suppose 3*n - 2*g - 4 = 17, 9 = 3*g. Calculate the remainder when (1 - (-2 - (-69)/b))*-2 is divided by n.
8
Let a be ((-2)/6)/((-1)/51). Suppose 5*m + 0*u - a = -u, 5*u = -4*m + 22. Suppose -410 = -55*j + 14*j. Calculate the remainder when j is divided by m.
1
Let q(z) = 3 - 11*z + 7*z + z. Let n(f) = -f**3 - 8*f**2 - 9*f + 2. What is the remainder when q(-9) is divided by n(-7)?
14
Let q = -6 - -25. Suppose k + q = 31. Calculate the remainder when 47 is divided by k.
11
Let d(i) = i**3 + 7*i**2 + 2*i - 11. Let w(c) = -c + 54. Calculate the remainder when w(0) is divided by d(-5).
25
Let x(j) = j**3 + 5*j**2 - 13*j - 3. What is the remainder when 60 is divided by x(-6)?
21
Suppose 5*d + 0*d + 4*k - 501 = 0, 3*k - 401 = -4*d. Calculate the remainder when d is divided by 21.
17
Suppose -5*o - q = -379, 49 = o - 5*q - 6. Let j be 200/(-2)*(-2)/(-4). What is the remainder when o is divided by ((-44)/(-55))/((-2)/j)?
15
Let a = 142 - -20. Suppose -a = -6*h + 3*h. Calculate the remainder when h is divided by 29.
25
Let w(m) = 37*m - 6. What is the remainder when 24/(-8)*118/(-6) is divided by w(1)?
28
Let q = -23 + 40. Suppose 6*s - 2634 + 14574 = 0. What is the remainder when (s/8)/(-5) - (-2)/8 is divided by q?
16
Suppose 11 = -3*g + 5. Let k be 18/15*5/g. What is the remainder when 13 is divided by k - (2 + -12*1)?
6
Let c = 247 + -218. What is the remainder when 112 is divided by c?
25
Let k(l) = -32*l - 1. Suppose 7*d - 689 = 158. What is the remainder when d is divided by k(-1)?
28
Let w(z) = 3 + 0 - z - z - 2 - z**2. Suppose -4*j - 3 = -7. What is the remainder when w(-2) is divided by j?
0
Calculate the remainder when (-358)/(-10) - 8/(-40) is divided by 28.
8
Suppose 2*i - 7*i - 25 = 0, -5*i + 44 = 3*w. Calculate the remainder when 133 is divided by w.
18
Let a(t) = -3*t - 12. Calculate the remainder when 132 is divided by a(-9).
12
Suppose 51*z - 138 = 48*z. Calculate the remainder when 546 is divided by z.
40
Let v(j) = 118*j - 1. Let t be v(-1). Let d be (-1513)/t - (-4)/14. Suppose n = -