i - 8. Let f(l) = -3*l**2 + 123*l - 109. What is the remainder when y(6) is divided by f(40)?
7
Let g be 2 + -1 + (209 - 0). What is the remainder when (g/9 + 0)*3 is divided by 9*(-8)/12*-4?
22
Suppose 5*z + 66 = 3*l - 407, 3*z - 4*l = -275. Let u = z + 225. What is the remainder when u is divided by 44?
40
Let o(r) = -r. Let u be o(-3). What is the remainder when (16 - (-3 + 1)) + -2 is divided by (-8)/(-2) + (u - 1)?
4
Let m be 30/(-6) - (-3 - -1). Suppose 3*u + 0*y + 2*y = 110, 2*y = -10. Let a = m + u. What is the remainder when a is divided by 20?
17
Calculate the remainder when 0 + -623*2*3/(-6) is divided by 48.
47
Let j(y) = 35*y - 160. Calculate the remainder when j(9) is divided by 81.
74
Let i(u) = -6 - u**3 - 7*u**2 + u + 3*u**2 + 1. Let s be i(-4). Let k(o) = 2*o**2 + 12*o. What is the remainder when k(s) is divided by 14?
12
Suppose -6*k + k + 10 = 0. Suppose k*a - 2*r + 2 = 0, -2*a = -0*a + 3*r - 23. Suppose a*q + q = 135. What is the remainder when q is divided by 14?
13
Let s = 898 - 1444. Calculate the remainder when ((-1)/(6/4))/(4/s) is divided by 23.
22
Suppose 36*h + 604 = 38*h. What is the remainder when h is divided by 22?
16
Let c(d) = d**2 + 6*d + 13. Suppose 2*q = 5*q + 15. What is the remainder when 19 is divided by c(q)?
3
Let f(y) = 5 - 1 - 1 - 4*y. Let s be (-3 - -1)/((32/24)/2). What is the remainder when 29 is divided by f(s)?
14
Suppose -66 = -6*s + 3*s. Let j = 71 + s. Calculate the remainder when j is divided by 19.
17
Suppose 9*l - 282 - 258 = 0. What is the remainder when 238 is divided by l?
58
Suppose 0*t + 2*t - 126 = 0. What is the remainder when t is divided by 51?
12
Suppose -2*l - 3*h = 73, -2*l = 2*h - 0*h + 76. Let f = -29 - l. Let j(r) = 17*r - 44. Calculate the remainder when j(6) is divided by f.
10
Let s(c) = -2*c - 5. Let y = 205 - 52. Suppose -4*u + 19 + y = 0. What is the remainder when u is divided by s(-10)?
13
Suppose -395 = -4*z + 1253. What is the remainder when z is divided by 26?
22
Suppose -2*l + 4*l + 158 = -2*p, -4*p = -3*l - 272. Let f = 15 - l. Calculate the remainder when f is divided by 25.
24
Let i(o) = -o**3 - o**2 + 2*o + 36. Let f be i(0). Let n = f - 30. Calculate the remainder when n is divided by 1.
0
Let w = 3 - -2. Suppose -4*g - 32 - 51 = -w*o, o - 4*g = 23. Suppose -2*i + 31 = v, 0 - 3 = -3*i. Calculate the remainder when v is divided by o.
14
Calculate the remainder when 2062 is divided by (-2502)/(-42) - (-8)/(-14).
56
Let x(n) = -91*n - 8. What is the remainder when x(-1) is divided by 65?
18
Suppose 25*j = j + 1872. What is the remainder when j is divided by 40?
38
Let g be 2/6 - (-814)/6. Suppose g = 16*s - 17*s. Calculate the remainder when s/(-6) - 2/(-6) is divided by 8.
7
Let i(c) = -c**2 - 9*c + 1. What is the remainder when 116 is divided by i(-9)?
0
Let m = -69 + 69. Suppose 60 = k + 3*o - m*o, -2*k - 5*o = -118. Calculate the remainder when k is divided by 16.
6
Let k be (-5)/((-10)/16) + -4. Calculate the remainder when 10 is divided by -2 + (k - 4) + 9.
3
Let f = 1547 - 1410. Calculate the remainder when 400 is divided by f.
126
Suppose f - 18 = -3*t, f - 3*t = -2*t + 14. Let g(v) = -6*v**3 + v. Let x be g(-1). Let c = f - x. What is the remainder when 38 is divided by c?
8
Suppose 7*l - 228 = -5*l. What is the remainder when 640 is divided by l?
13
Suppose -3826 + 23806 = 36*b. What is the remainder when b is divided by 80?
75
Suppose -1068 + 318 = -10*v. What is the remainder when v is divided by 11?
9
Suppose 3*k - 2*l - 102 = 0, k - 4*l - 47 + 3 = 0. What is the remainder when 478 is divided by k?
30
Suppose o - 5*h - 1514 = 0, 3*o + 30*h - 4582 = 35*h. What is the remainder when o is divided by 48?
46
Suppose b = 4*b - 612. Suppose -5*s + 18 + b = 4*z, 0 = -4*s - 2*z + 180. What is the remainder when s is divided by 92/8 - ((-2)/(-2))/(-2)?
10
Let v = -49 + 74. Calculate the remainder when 62 is divided by v.
12
Suppose 0 = -2*s - 2*h + 10, s + 2*h - 5*h + 3 = 0. Let c(m) = -m**3 + 6*m**2 - m - 12. Calculate the remainder when c(4) is divided by s.
1
Let c be 1/1 + 1 + 0. Suppose -c*l + 27 = -23. Calculate the remainder when l is divided by 9.
7
Suppose -x - 2*w + 7 + 53 = 0, -3*w + 279 = 5*x. Let y(q) = -q**2 + 21. Let d be y(-5). Calculate the remainder when x is divided by 18 + -4 + (d - -4).
12
Suppose 113 = 10*z - 147. Calculate the remainder when 81 is divided by z.
3
Let o(l) = -l**2 - 35*l + 50. Calculate the remainder when 77 is divided by o(-36).
7
Let m(g) = 6*g**2 + 18*g - 9. Calculate the remainder when 1375 is divided by m(-5).
49
Suppose 7*b + 20 = -a + 2*b, -12 = -4*a + 3*b. Suppose -6*x + 4*x - 80 = a. Let f = x + 90. Calculate the remainder when f is divided by 18.
14
Suppose -3 = s - 6. Suppose -s*r + 26 = -85. Let q(m) = m**3 + 6*m**2 + 5*m + 1. What is the remainder when r is divided by q(-4)?
11
Suppose -312 - 777 = -11*d. Calculate the remainder when d is divided by 20.
19
Suppose -100 = -5*q - 115. Let s = q + 17. Calculate the remainder when 94 is divided by s.
10
Let a = -62 - -69. Let r(j) = j**3 - 1. Let k(v) = -2*v**3 + v**2 + v - 24. Let x(l) = -k(l) - 3*r(l). Calculate the remainder when x(0) is divided by a.
6
Let k = -982 + 1120. What is the remainder when k is divided by 10?
8
Calculate the remainder when 201 is divided by (35/4)/((-165)/(-1980)).
96
Suppose -2*y = -33 + 31, 0 = -2*c - 3*y + 41. Calculate the remainder when c is divided by 8.
3
Suppose 6 = -3*q - 0*q. Let l be q/3 + (-10)/(-6). Let r(n) = 2*n**3 + n - 1. What is the remainder when 4 is divided by r(l)?
0
Let q(m) = -m**3 + 3*m**2 - m + 4. Let d be q(2). Suppose -17 + d = -h. Suppose -3*z = -h*z + 160. What is the remainder when 37 is divided by z?
17
Let l = 25 + 31. Suppose 0 = -0*z - z + l. Calculate the remainder when z is divided by 19.
18
Let n(k) = 155*k - 3 - 154*k + 8. Calculate the remainder when 6 is divided by n(0).
1
Let t(n) = 12 + 4*n - 2*n - 2. Suppose -3*o = -9, 3*o - 5 = 2*a - 182. Calculate the remainder when a is divided by t(7).
21
Suppose -55*h + 63 = -48*h. What is the remainder when ((-30)/4)/(3/(-6)) is divided by h?
6
Let m(y) = y**3 - 3*y**2 + y - 18. Calculate the remainder when 330 is divided by m(5).
34
Let f = 19 - 10. Let u be ((-82)/(-3))/(3/f). Suppose -80 = -5*h + 5*a, 0 = -4*h - 5*a + u + 27. What is the remainder when 61 is divided by h?
19
Suppose s = -2*c + 17, 5*s = 2*c + 71 + 74. Calculate the remainder when s is divided by 3.
0
Let v = 69 + -74. Calculate the remainder when (-2)/9 - (-922)/18 is divided by (-15)/v*13/3.
12
Calculate the remainder when 237 is divided by (-16)/(-10)*(98 + 2)/4.
37
Let o = 297 + -242. What is the remainder when o is divided by 19?
17
Suppose 41*q - 2660 = 3*q. Calculate the remainder when q is divided by 8.
6
Suppose 12 = -3*s - 0*s. Let p(c) be the first derivative of c**3/3 - c**2 - 8*c + 171. Calculate the remainder when p(s) is divided by 9.
7
Calculate the remainder when 53 is divided by 0 - 14/91 - (-366)/13.
25
Let m(v) = 28*v - 410. What is the remainder when m(20) is divided by 19?
17
Let v = 364 + -66. Calculate the remainder when v is divided by 25.
23
Suppose -4*p + 465 = p. Suppose 5*w = -2 - p. Let j = -5 - w. What is the remainder when 27 is divided by j?
13
Suppose 0 = 4*x - 5 - 15. Suppose 5*a + 5*f + 120 = 0, -x*a = -2*f + f + 96. Calculate the remainder when 15 is divided by (24/a)/((-6)/20).
3
Suppose 100 + 736 = 4*a. Calculate the remainder when a is divided by 10.
9
Suppose -14*o - 53 = -13*o. Let q = 74 + o. What is the remainder when 35 is divided by q?
14
Suppose 3*c - 6 = -0. Suppose 3*t + 2*i = i - 44, t = c*i - 24. Let u = -4 - t. Calculate the remainder when 33 is divided by u.
9
Suppose -o - 72 + 73 = 0, z = 2*o + 63. What is the remainder when z is divided by 25?
15
Let f(j) = -j**3 - 6*j**2 + j - 22. Let a(p) = p**3 + 6*p**2 - p + 22. Let m(n) = 5*a(n) + 6*f(n). Calculate the remainder when 97 is divided by m(-7).
17
Suppose -5*n = m - 11, -2*n + 2 = -2*m - 12. Suppose f - 248 = -n*f. What is the remainder when 181 is divided by f?
57
Let x(y) = -2*y**2 - 92*y + 116. What is the remainder when 236 is divided by x(-47)?
16
Suppose -5*y + a + 4290 = 0, -2*y - 4275 = -7*y - 2*a. Calculate the remainder when y is divided by 78.
77
Suppose -3*