9.
28
Let b(j) = 9*j - 8. Calculate the remainder when 43 is divided by b(3).
5
Suppose 232*s = 219*s + 234. Calculate the remainder when 140 is divided by s.
14
Let o(r) = r**2 - 15*r - 13. Let a(g) = -g**3 + 8*g**2 - 11*g + 12. Let d be a(6). Suppose -3*l + 64 = 22. Calculate the remainder when o(d) is divided by l.
13
Let o(s) = 4*s - 2. Let d = 12 + -13. Let u be o(d). Let i(j) = -j**3 - 7*j**2 - 4*j + 15. What is the remainder when 8 is divided by i(u)?
2
Let p = -1295 - -1663. Calculate the remainder when p is divided by 71.
13
Let g(c) = c**3 - 9*c**2 + 12*c - 14. Let o be g(10). Suppose 5*x + 26 = o. What is the remainder when x is divided by 10?
6
Suppose -2*p + 20 = -50. What is the remainder when 106 is divided by p?
1
Let w(c) = -3*c**2 - 2*c + 21. What is the remainder when 1256 is divided by w(0)?
17
What is the remainder when 75 is divided by (-7)/(70/(-30)) + 7?
5
Let p(g) = 2*g**3 - 12*g**2 + 3. Let n be p(6). Suppose 2*t = -z + 27, -n*z = -4*t + 55 + 4. What is the remainder when t is divided by 8?
6
Let j be (-1 + 3)/(56/84). Suppose 0 = -b + 2*a + 52, -j*b + 3*a + 233 = b. Calculate the remainder when b is divided by 8.
6
Suppose -f + 256 = 5*w, 136 = 3*w - 2*f + 7*f. What is the remainder when w is divided by 26?
0
Suppose 0 = 5*x + l - 86, -4 + 0 = -4*l. Suppose x*d = 12*d + 30. What is the remainder when 46 is divided by d?
4
Let k be 3 + -1 + -1 + 32. What is the remainder when 65 is divided by (k/(-6))/((-1)/2)?
10
Let w(r) = -34*r**3 + r**2 - r - 2. Let x be w(-1). Let k = -16 + x. Calculate the remainder when k is divided by 11.
7
Let r(y) = -y**2 - 10*y + 71. Calculate the remainder when 71 is divided by r(4).
11
Suppose -5*k + 56 = -h - 38, -3*k = 4*h - 61. Suppose 3*n - 8*n - 705 = 0. Let d = 197 + n. Calculate the remainder when d is divided by k.
18
Suppose -5*q - 3*u = 11 - 49, -5*q = u - 36. Calculate the remainder when 4/(-8)*((-540)/12 + 9) is divided by q.
4
Let p = 41 - 8. What is the remainder when p is divided by 58/6 + (-24)/36?
6
Let a = -283 + 371. Calculate the remainder when a is divided by 19.
12
Let r(x) = x**2 - 1 + 2 - 2 + 0. Let b(y) = 5*y**2 - 7*y - 8. Let k(j) = -b(j) + 6*r(j). What is the remainder when 27 is divided by k(-8)?
7
Let w(n) = -2*n**2 - 24*n + 28. Suppose 0 = -2*p + 21 - 45. Calculate the remainder when 81 is divided by w(p).
25
Let c(u) = 11*u - 1. Let v = 730 - 712. What is the remainder when c(3) is divided by v?
14
What is the remainder when ((-3816)/16)/(-1*2/4) is divided by 15?
12
Suppose -728 = -0*z + 2*z. Let q = -235 - z. Suppose 2*p - 2*y = y + q, 0 = -5*p + 3*y + 318. What is the remainder when p is divided by 16?
15
Let q = 1565 - 1558. Let k(f) = -f**2 - 5*f. Let d be k(-4). Suppose -d*v + v + 6 = 0. What is the remainder when q is divided by v?
1
What is the remainder when 127 is divided by (-2)/(36/(-645)) + (-5)/(-30)?
19
Suppose 83 = 26*f - 1191. What is the remainder when f is divided by 14?
7
Suppose 0 = 5*u + 20, 6*v - 5*u - 45 = v. Suppose 4*i = -v*n + 151, -4*n = -n + 15. What is the remainder when i is divided by 13 + (140/(-10) - -16)?
14
Let y = 114 + -25. What is the remainder when y is divided by 12?
5
Let b(u) = -u**3 - 7*u**2 + 17*u - 8. Let n be b(-9). Calculate the remainder when (-9)/((n/(-3))/(176/72)) is divided by 24.
18
What is the remainder when (-9 - 3444/(-54)) + (-4)/(-18) is divided by 14?
13
Suppose -406*y - 217 = -413*y. What is the remainder when 96 is divided by y?
3
What is the remainder when 268 is divided by (-960)/(-14) + 144/(-252)?
64
What is the remainder when (-150)/(-30) - (-129 + 0) is divided by 34?
32
Let b be (-16 + 0)*5/4. Let p be 91/(-2) + 10/b. Let i = p - -88. What is the remainder when i is divided by 15?
12
Let o = 5 + -2. Suppose -11 = 5*w - 91. Let i = o + w. Calculate the remainder when i is divided by 10.
9
Suppose -p - 4 = 4*i, -2*i + 0 = 3*p + 12. Let r be p/(-18) - 768/54. Let u = 3 - r. What is the remainder when 50 is divided by u?
16
Suppose c - 3 = 0, -4*h + 4*c - 37 = -1. Let l = -16 + 31. Let o = l + h. What is the remainder when 25 is divided by o?
7
Let h(u) = u**2 + 10*u - 85. Calculate the remainder when 112 is divided by h(-18).
53
Suppose 7 + 1 = 2*y. Suppose -2*g + 0*g = -y. Suppose g*b - 2*h = -4 + 40, 0 = b + 5*h - 48. What is the remainder when b is divided by 8?
7
Let x be 5 + (-1 - 1) + 1. Let r(y) = 4*y**2 - 2. What is the remainder when x/10*(-2 - -67) is divided by r(2)?
12
Let b = -1 - -3. Suppose -b*y + 27 - 3 = 0. Calculate the remainder when (176/y)/(6/9) is divided by 8.
6
Let s(x) = -x**3 - 11*x**2 + 2*x + 24. Let l be s(-11). Suppose -f - l*f + 24 = 0. Suppose 0*o + 58 = 2*o. Calculate the remainder when o is divided by f.
5
What is the remainder when 51 is divided by ((-66)/(-231))/(2/77)?
7
Suppose 5*r - 67 = -2*x, 4*x + 2 = r - 7. Suppose -p - 4*y = -9*y + 10, 10 = 2*y. Let a = 39 - p. Calculate the remainder when a is divided by r.
11
What is the remainder when 125 is divided by (-100)/(-5) + (4/(-2) - 2)?
13
Suppose r - 4*j = 28, 9*j = 10*j + 2. What is the remainder when r is divided by 12?
8
Let v(q) = 2*q**2 - q - 2. Let k be v(2). Suppose 123 = 4*x - 5*z, k*x - 21 = -3*z + 78. Calculate the remainder when x is divided by (-4)/(-6) + 86/6.
12
Let t be 2 - (-5)/(15/24). Suppose t*d - 30 = 9*d. What is the remainder when d is divided by 8?
6
Let o(t) = t**2 + 4*t - t + 4*t - 6*t + 18. What is the remainder when (-1 + 21)*(-20)/(-8) is divided by o(0)?
14
Suppose -64*p = -1299 - 1261. Calculate the remainder when 231 is divided by p.
31
Let k be 26/4 + (-7)/(-14). Suppose -2*r + k = -21. Calculate the remainder when 39 is divided by r.
11
Let h = -73 + 114. Calculate the remainder when h is divided by 11.
8
Let u = 1062 - 2206. Calculate the remainder when (8/6 - 1) + u/(-78) is divided by 9.
6
Suppose -18 - 17 = -5*d. Suppose 109 + 23 = 11*k. Suppose 6*p + 30 = k*p. Calculate the remainder when d is divided by p.
2
Let y = -16 + 131. Calculate the remainder when y is divided by 39.
37
Suppose 0*h = -3*h + 9. Suppose 2*b - 13 = -3*y, y - h*y + 4*b = -14. Calculate the remainder when y is divided by 126/1323 + (-11)/(462/(-164)).
1
Suppose -l = -5*u - 203 - 40, 2*l = -4*u + 430. What is the remainder when l is divided by 32?
31
Let a be (-1689)/(-19) - 58/(-551). Suppose a - 26 = 7*h. Let t(b) = b**2 + b + 5. Calculate the remainder when t(4) is divided by h.
7
Let o(n) be the second derivative of n**4/12 - 3*n**3/2 + 3*n**2 + 5*n. Let k be o(9). What is the remainder when ((-2)/3)/(k/(-477)) is divided by 14?
11
Let b = 157 + -91. Suppose 4*j - b - 178 = 0. What is the remainder when j is divided by 9?
7
Suppose 196 = -6*f - 14. What is the remainder when 17 is divided by (f/14)/((-3)/2 + 1)?
2
Let s(z) = -2*z**3 + 2*z + 1. What is the remainder when ((-75)/9)/((-160)/96) is divided by s(-1)?
0
Suppose 0 = -3*u - 106 + 115. Calculate the remainder when 6 + -5 + (-2 - -6) is divided by u.
2
Suppose -4*g + 7 + 1 = 0, g - 10 = -2*u. Suppose -4*t + 5 = -3*t. Suppose -4*f - 7 = -3*q, -f - f + 55 = t*q. Calculate the remainder when q is divided by u.
1
Suppose 0 = -0*i - 8*i. Suppose -j - 2*j + 243 = i. Suppose -52*c - j = -55*c. Calculate the remainder when c is divided by 15.
12
Let p(z) = -z**3 - 13*z**2 - 53*z - 16. Calculate the remainder when 115 is divided by p(-7).
54
Let c be 3 - (-8)/((-4)/(-8) + -1). Let r = 18 + c. What is the remainder when 23 is divided by r?
3
Let d be (-4)/(-18)*10 - (-4)/(-18). Suppose -2*f = 4*k - 90, -5*f - d*k + 285 = -4*k. Calculate the remainder when 159 is divided by f.
49
Let x = 32 + -27. Suppose 0*i + x*i - 145 = 0. Calculate the remainder when i is divided by 11.
7
Let i(s) be the second derivative of -7*s**3/6 + 14*s**2 - 2*s - 23. Suppose 5*v + d = 188, -d - 26 = -v + 8. Calculate the remainder when v is divided by i(2).
9
Suppose -2*z = -z + 14. Let t = 40 + z. Let y = -9833 + 9934. Calculate the remainder when y is divided by t.
23
Suppose 4*b - 279 = 3*k, 5*k + 273 = 19*b - 15*b. Calculate the remainder when b is divided by 19.
15
Let f = 3 - 0. Let s = -39 - -47. What is the remainder when s is divided by f?
2
Let b(t) = t**3 - 4*t**2 - 29*t - 20. Let g(c) = 11*c + 4. Let i be g(4). Suppose -4*j - 4 = -i. What is the remainder