= -t**3 - 8*t**2 - 5*t - 5. Let z(b) = b - 13. Let v be z(-4). Let m = v + 9. Calculate the remainder when s(m) is divided by 9.
8
What is the remainder when -6*((-1184)/24 + -12) is divided by 75?
68
Suppose -23*d + 250 = 2*s - 25*d, 4*d = 3*s - 377. Calculate the remainder when s is divided by 56.
11
Let m(k) = 74*k**3 + k**2 + 23*k - 23. Calculate the remainder when 4124 is divided by m(1).
74
Let u(i) = 2*i**3 + 56*i**2 - 5*i - 9. Let s(g) = g**3 - 31*g**2 + 28*g + 32. Let r be s(30). Calculate the remainder when u(r) is divided by 19.
17
Let z(x) = 30*x + 134. Calculate the remainder when 384 is divided by z(0).
116
Let r be 21/6 - 2/4*1. What is the remainder when 41 is divided by -8*(13*r/(-6) - -5)?
5
Let y(v) = 79*v**2 + 33*v - 183. Calculate the remainder when y(4) is divided by 8.
5
Suppose 3*m + 1398 = 9*m. Suppose -m = -14*p + 187. What is the remainder when 54 is divided by p?
24
Let h = 13882 + -13856. Calculate the remainder when 14142 is divided by h.
24
Let v(l) = 9*l - 78. What is the remainder when 408 is divided by v(12)?
18
Let n = 84 + -84. Suppose l = -2*q + 50, -4*q + 88 = -4*l - n*l. Calculate the remainder when q is divided by 13.
11
Let j(l) = l**2 - 3*l - 18. Let s be j(6). Suppose s = -7*h - 43 + 134. Suppose -5*m = -42 - h. Calculate the remainder when 19 is divided by m.
8
Suppose 3*a + 1012 - 1036 = 0, 0 = -3*k + 5*a + 83. What is the remainder when 5081 is divided by k?
38
Let p be 1/(-2) - -4*948/(-96). Let x(k) = k**3 + 39*k**2 - 44*k - 121. What is the remainder when 118 is divided by x(p)?
1
Let f(n) = -n**2 - 2*n + 6. Let x be (5/(-4)*-2)/((-4)/(-8)). Suppose 5*k = -x*d - 5, -k = 2*d + 3*k - 2. Calculate the remainder when f(d) is divided by 2.
1
Let x = 1134 + -598. Calculate the remainder when 1617 is divided by x.
9
Suppose 75 = -84*r + 79*r. Let k(d) = 7*d**2 + 99*d - 15. Calculate the remainder when 149 is divided by k(r).
74
Suppose -9*g + 6*g + 2*o = -17, 2*o - 13 = -3*g. What is the remainder when 364 is divided by g?
4
Let b(j) = -7*j + 27. Suppose -4*w - 14 - 82 = 0. Calculate the remainder when b(w) is divided by 50.
45
Let r(g) = g**3 + 8*g**2 + 11 + 3*g**2 + 2*g + 8*g. Suppose 3*d + 3*l = 96, l - 3373 = -2*d - 3316. Calculate the remainder when r(-8) is divided by d.
23
Let s(n) = n**3 + n**2 + n + 4. Let d be s(0). Suppose -d*f - 3*j = -67, -j = -f + 11 + 11. What is the remainder when (6/(-1))/(6/(-56)) is divided by f?
18
Suppose 0 = -569*r + 568*r + 255. Calculate the remainder when r is divided by 108.
39
Suppose 0 = -2*i - 5*g + 94, 0 = 3*i + 4*g - 3*g - 128. Suppose -39*n = -41*n. Suppose 5*w - 163 - 667 = n. Calculate the remainder when w is divided by i.
40
Let u be 1/(-1)*54/(-27). Let i(s) = 13*s**3 - 3*s**2 + 4*s - 1. Calculate the remainder when i(u) is divided by 26.
21
Suppose 11*d - 122 = -2*s + 3*d, -2*d + 300 = 4*s. What is the remainder when 3693 is divided by s?
74
Let n be (-11)/(11/(-655)) + (-4)/(-1). Let m = -605 + n. What is the remainder when m is divided by 14?
12
Let r(u) = -6*u - 6. Let a be r(-3). Let d(p) = -p**2 + 10*p + 20. Let c be d(a). Calculate the remainder when (-21 + 25)/(c/(-74)) is divided by 15.
14
Let j(z) = 9*z + 7. Let r = -16076 - -16093. What is the remainder when j(4) is divided by r?
9
Calculate the remainder when 1 + (((-1)/3)/(6/108) - -111) is divided by 50.
6
Let g be (-15)/(90/(-1344)) - -1. Let q be (0 - 0)*(-3)/(-6). Suppose q = 6*t - g - 729. What is the remainder when t is divided by 40?
39
Let a = -74 + 8. Let t be -3 - (-37)/2*(-10)/5. Let c = t - a. What is the remainder when c is divided by 9?
8
Suppose 4*m + 115 = 5*v, 30*m = 19*m. What is the remainder when 1399 is divided by v?
19
Suppose 3*r - 468 = -r. Let f(l) = -4*l - 6. Let c be f(-3). Suppose c*m - 303 - r = 0. What is the remainder when m is divided by 36?
34
Suppose 2*a = 2*g, 9 = -5*g - 4*a - 0. Let j be (-2)/7*-14*g/(-2). Suppose 0 = 2*o - 2*f - 44, -3*f + 4 = -j. Calculate the remainder when 70 is divided by o.
22
Suppose -1785 - 149 = -62*v - 12. Calculate the remainder when v is divided by 13.
5
Let b(m) = 6*m + 35. Let j be b(-5). Suppose 3*s - 11 = -j, 0 = -5*w + 5*s + 115. What is the remainder when w is divided by 2?
1
What is the remainder when 1217 is divided by (-1 - (-146)/8)*(13 - (-455)/(-39))?
21
Suppose -255917*z + 255951*z - 2584 = 0. Let r(l) = 49*l + 1. What is the remainder when r(3) is divided by z?
72
Let a(w) = -2*w**3 + 124*w**2 - 118*w - 122. What is the remainder when a(61) is divided by 31?
29
Let q = 30 + -12. Suppose -8017*u + 7993*u + 840 = 0. What is the remainder when u is divided by q?
17
Suppose -l + 4*c = -107, -5*l + 621 = -c + 124. Suppose 8*u - 560 = 56. Let w = l - u. Calculate the remainder when 86 is divided by w.
20
Suppose 0 = 4*j - j + 6. Let t = 264 - 186. What is the remainder when t is divided by (-1)/j + 546/28?
18
Suppose -58 = -d - a, -3*d + 117 = -3*a - 87. What is the remainder when 177 + (7 - (-24)/(5 + 7)) is divided by d?
60
Let w(l) = l**3 - 3*l**2 + 2*l - 12. Let g = 90 + -18. Suppose 0 = t + 4*z - g, 2*t + z - 69 = t. What is the remainder when t is divided by w(4)?
8
Suppose -642 + 1450 = -4*l. Calculate the remainder when (l + 3 - 5)/(-2) is divided by 23.
10
Suppose 27*p + 4448 = -1924. Let y = p - -278. What is the remainder when y is divided by 5?
2
Suppose -4*u + 2332 = 4*m, m = 4*m + 5*u - 1745. Let o = 205129 + -205080. What is the remainder when m is divided by o?
46
Let r(d) = d**2 + 142*d - 1078. What is the remainder when r(8) is divided by 14?
10
Let t = -5002 - -5382. Calculate the remainder when t is divided by 31.
8
Calculate the remainder when 376 is divided by (2520/(-8))/(-5)*(-6 + 192/28).
52
Let h be (-354)/(-4 + 4 + -2). Let t = -77 + h. Suppose -10*f = -209 - 51. What is the remainder when t is divided by f?
22
Let u = -5545 - -6698. Calculate the remainder when u is divided by 55.
53
Suppose 0 = 2*z - d - 24 - 36, z - 16 = 4*d. Suppose 86 = 6*f + z. Calculate the remainder when 36 is divided by 10/15 + 93/f.
3
Suppose -2*t + 75 = -p + 3*t, -5*t - 255 = 5*p. Let a = -219 + 259. What is the remainder when a is divided by 312/22 + 10/p?
12
Let z be ((-12)/24 - 0/(-2))*-508. Suppose -2*q - 3*s + 4*s + z = 0, -s - 125 = -q. Suppose 3*p = -0*p + q. Calculate the remainder when p is divided by 22.
21
Suppose 4*t - 480 = -s, 5*s + 62*t - 2331 = 65*t. What is the remainder when 471 is divided by s?
3
Let b(a) = 3*a**2 + 3*a + 84. Let l be b(-11). Suppose 28*n = -18*n + l. What is the remainder when 70 is divided by n?
7
Suppose -2*p - 5*a + 3 = 0, -p = 2*a + 2*a + 3. Calculate the remainder when ((-25)/(132/(-12) - -12))/(-1) is divided by p.
7
Suppose 0 = 5*h + c + 172, 2*c - 46 = -5*h - 220. Calculate the remainder when 287 is divided by (h/4)/(11/(-22)).
15
Let a(l) = 10*l**2 - 2*l - 10. Let f be a(-5). Let k = f + -222. Calculate the remainder when 139 is divided by k.
27
Suppose 3*j - 1430 = -19*j + 9152. What is the remainder when j is divided by 15?
1
Suppose 28*w = 10*w + 82 + 62. Suppose 0 = -3*g + 19 + 44. What is the remainder when g is divided by w?
5
Let u = -134 - -890. Suppose -a + u = 6*a. What is the remainder when a is divided by 11?
9
Suppose -5*n + 5 = -2*t - 1, -4*t = -2*n + 12. Suppose -4*r + 96 = -n*r. Let j = -429 + 442. What is the remainder when r is divided by j?
11
Suppose 20*b - 35967 - 4053 = 0. What is the remainder when b is divided by 11?
10
What is the remainder when (-6)/27 - (-6560)/36 is divided by 90?
2
Let q(o) = 3*o**2 - 9*o - 9. Let r be q(5). Let w = 109 - r. Calculate the remainder when w is divided by ((13/4)/(-1))/(44/(-176)).
10
Let n = 801 + -323. What is the remainder when n is divided by 465?
13
Let k(c) = 4*c**2 - 5*c - 15. Let v be k(-6). Suppose 13*t - 653 = -v. Calculate the remainder when t is divided by 9.
2
Let y(i) = -30*i - 6. Suppose -t + 0*t + 2*u = -45, 0 = -3*u - 15. Let w = -36 + t. What is the remainder when 91 is divided by y(w)?
19
Suppose 4*x + 2 = 18. Suppose 200 = 8*q - x*q. Let a = 63 + -50. Calculate the remainder when q is divided by a.
11
Let n(x) = 39*x**2 + 25*x - 90. Let c be n(4). Suppose -c = -38*d + 88. Suppose 124 - 779 = -5*z. What is the remainder when z is divided by d?
17
Let j be ((-3600)/42)/(1/7). Let i = -