late the remainder when s is divided by u(12).
8
Suppose 5*c + k - 129 - 9 = 0, -5*k - 10 = 0. Let t be 2012/11 + 92/1012. Let n = -172 + t. Calculate the remainder when c is divided by n.
6
Let j(x) = x**2 - 13*x - 130. What is the remainder when 327 is divided by j(-7)?
7
Let q(u) = -u**3 - 3*u**2 - 44*u + 1. Calculate the remainder when 66 is divided by q(0).
0
Suppose 3*m + 5*h - 54 = 0, -3*m + 57 = -0*m + 4*h. Let v = 40 - m. What is the remainder when 3/(-2 - (-92)/44) is divided by v?
16
Suppose -5*g - 160 = -g. Let y(z) = z**3 + 31*z**2 - 3*z - 75. What is the remainder when ((-76)/16 - -3)*g is divided by y(-31)?
16
Let l = 46 + 14. Suppose 144 = -5*j + 14. Let g = -17 - j. Calculate the remainder when l is divided by g.
6
Let j(h) = -6*h - 3. Let v be j(-1). Suppose 0 = -2*k - v*y - 2*y + 78, 3*k + 3*y - 135 = 0. Let l = 11 + k. Calculate the remainder when l is divided by 21.
18
Calculate the remainder when (-43)/3*-54*7/(-84)*-2 is divided by 28.
17
Let a(w) = -4*w + 129 + 6*w + 13*w. Calculate the remainder when 269 is divided by a(-5).
53
Let j(v) be the third derivative of v**4/6 + 8*v**3 + 23*v**2. Let i be j(0). Let y = i + -13. What is the remainder when y is divided by 9?
8
Suppose -6*h + 2187 = 3*h. Suppose 315 = 25*n - 20*n. What is the remainder when h is divided by n?
54
Let w(x) = 4*x + 4*x + 11 - 5 + x**2. Suppose 76*f + 26 = 79*f - a, 0 = 4*f - 5*a - 31. Calculate the remainder when w(-10) is divided by f.
8
Suppose -3*b = -272 - 49. Calculate the remainder when b is divided by (66/(-12))/(198/(-1080)).
17
Suppose 4 = 3*c - c. Suppose 13*u + 172 = 770. What is the remainder when u is divided by (-6)/(-1) - (-4)/c?
6
Let l(m) = -m**2 - 191*m + 647. What is the remainder when 8/44 + 8556/11 is divided by l(3)?
63
Let a = -544 + 654. Let t(f) = -f**3 + 2*f**2 - 2*f + 14. What is the remainder when a is divided by t(0)?
12
Suppose 95*h - 24232 - 4648 = -57*h. What is the remainder when 949 is divided by h?
189
Let n(o) = -o**3 + 26*o**2 - 22*o - 74. Let z be n(25). Calculate the remainder when (2/8)/(z/532) is divided by 45.
43
Let m = 125 - 123. Let c = 58 - m. What is the remainder when c is divided by 47?
9
Let y = -31618 - -32349. Calculate the remainder when y is divided by 41.
34
Let x(s) = s + 308 + 46*s - 276 + 49*s - 176. What is the remainder when x(5) is divided by 9?
3
What is the remainder when 1229 is divided by -9*(5710/(-90) - 4)?
15
Let t(j) = -540*j**3 + j**2 - 2*j - 2. Let i be t(-1). Let k = -145 + i. Suppose -20*d + k = -16*d. Calculate the remainder when d is divided by 17.
14
Let c = -34 + 38. Suppose -c*t = -t + 4*f - 47, 5*t - 50 = -f. Suppose -8*k + 113 = t. Calculate the remainder when 30 is divided by k.
4
Suppose o + 3*c = 15, 2*o + 4*c - 6*c = 6. Suppose 0 = o*p - 29*p + 529. What is the remainder when p is divided by 17?
6
Let z(u) = 2*u**3 - 3*u**2 + 4*u - 4. Suppose -3*t = 3*q - 111, 5*t - 101 = 2*t - q. Let h = -30 + t. Calculate the remainder when 35 is divided by z(h).
3
Let u(d) = -4*d**3 + 110*d**2 - 33*d - 73. What is the remainder when u(27) is divided by 99?
98
Let t = -77 - -329. Let n = 269 - t. Calculate the remainder when 65 is divided by n.
14
Let v = -263 + 303. Suppose 4*k - v = 2*p, 4*k + 0*k = -2*p + 40. What is the remainder when 53 is divided by k?
3
Suppose 5*t - 3503 = 972. What is the remainder when t is divided by 20?
15
Suppose -11*v + 17 = -f - 13*v, -2*f - 22 = v. Calculate the remainder when 302 + 1*45/f is divided by 43.
39
Let z(c) = 5*c**3 + 2*c**2 + 4. Let v(o) = o**2 - o - 4. Let r be v(3). Let y be z(r). Suppose 279 = 55*p - y*p. What is the remainder when p is divided by 24?
21
Let d = 2965 - 2912. What is the remainder when 422 is divided by d?
51
Let t be 2/8*32/4. Let z(m) = m**3 - 13*m**2 - 5*m - 12. Let s be z(13). What is the remainder when t/14 - 682/s is divided by 3?
0
Suppose -36*z - 159536 = -514*z - 198*z. What is the remainder when z is divided by (49 - 2) + -2 - -3?
44
Suppose -5*v + 5 = 5*i, -4*v - i + 5 = 2*i. Let x(a) = 2*a**2 - 4*a + 7. Calculate the remainder when 18 is divided by x(v).
4
Suppose -2*z = 5*n - 23, z - 4*n - 107 = -4*z. Suppose z*p + 315 = 26*p. What is the remainder when p is divided by 13?
6
Suppose -16*o + 417 + 47 = 0. What is the remainder when 8931 is divided by o?
28
Suppose 0 = -3*j - 6, 11*w - 777 = 8*w + 3*j. Let k = w + -120. What is the remainder when k is divided by 46?
45
What is the remainder when ((-321)/(-10))/(-107) - (-9366)/20 is divided by 22?
6
Let d(r) = 13*r**2 + 347*r - 58. Calculate the remainder when d(-27) is divided by 10.
0
Suppose 0*l - q = 4*l - 1821, 2*l = -4*q + 900. What is the remainder when l is divided by 11?
5
Suppose -5*s + 7*s + 4200 = 58*s. What is the remainder when 291 is divided by s?
66
Let s(n) = -40*n - 207. Suppose 0 = l - 2*d + 2 + 8, 0 = -2*l + d - 17. Calculate the remainder when s(l) is divided by 31.
20
Let u(j) = 27*j**2 - 3*j + 1. Let b be u(-2). Let v = b + -47. Calculate the remainder when v is divided by 27.
14
Let l(w) = -3*w**3 - 2*w**2 + w - 2. What is the remainder when (-12036)/(-295)*25/20 is divided by l(-2)?
3
Suppose 0 = -5*i - 3*d + 517, 3*d = -4*i + 8*d + 421. Let w = -97 + i. Calculate the remainder when 34 is divided by w.
6
Suppose -4*w + 0*p + 4*p + 64 = 0, 4 = p. Let y = w + -13. Suppose -y*q + 55 + 1 = 0. What is the remainder when 20 is divided by q?
4
Suppose -5*n - o + 66 = 0, 0*n + 58 = 3*n - 4*o. Let h = -12 + n. Suppose 3*d = -5*x + 81, -h*d - 3*x = -x - 58. What is the remainder when d is divided by 9?
5
Let m = 96 - 84. Suppose -3*d + m*d = 45. Suppose 4*o - 39 - 21 = 4*i, 0 = d*i + 5. What is the remainder when 53 is divided by o?
11
Suppose -56*y + 60*y - 72 = 0. Suppose -8*s + 3*s = -805. Suppose 3*v + m = s, m + 250 = 5*v - m. What is the remainder when v is divided by y?
16
Let i(q) = -16*q**2 - 2*q + 22 + 13*q + 15*q**2. What is the remainder when 90 is divided by i(10)?
26
Suppose -15*u - 5750 = -42*u - 19*u. Calculate the remainder when 312 is divided by u.
62
Let v = 13 - 10. Suppose -2*b + v*x = -546, b + 1347 = 6*b - 3*x. What is the remainder when b is divided by (-10 + (14 - 6) - -5)*15?
42
Suppose 100 = 17*g + 8*g. Suppose -g*z + 261 = -5*q, 3*z - 80 = -2*q + 133. Calculate the remainder when z is divided by 33.
3
Let x be (80/(-15))/((-2)/(-18)). Let o = x + 325. Suppose -6*f = -o - 185. Calculate the remainder when f is divided by 20.
17
What is the remainder when (56 + 2/(-1))/(-29 + (-2737)/(-92)) is divided by 44?
28
Suppose 88 = -7*u - 15*u. Let i(b) = -3*b**3 - 8*b**2 + 4*b - 6. What is the remainder when i(u) is divided by 10?
2
Let v be (36/(-5))/(1/5). Let b = -157 + 212. Calculate the remainder when 22/b + v/(-10) is divided by 2.
0
Let z(d) = 2*d**2 + 17*d + 20. Let i be z(-10). Suppose 2*v = -3*s + 116, 0 = -2*v - 2*s + i + 62. What is the remainder when 200 is divided by v?
44
Suppose -4*a + 314 = 5*r - 150, -3*r - 232 = -2*a. What is the remainder when 163 is divided by a?
47
Suppose 4*q = -m + 20, 0 = -4*m - 5*q + 3*q + 52. Let j be 192/2 - (2 + -1). Suppose -j = -t + 107. Calculate the remainder when t is divided by m.
10
Let u(g) = g**2 + 196*g + 4460. What is the remainder when 892 is divided by u(-170)?
12
Suppose 0 = 2*n + 3*n - 180. Let l be (421 - -2) + (-4 - -4). Suppose l = -28*g + 31*g. What is the remainder when g is divided by n?
33
Let o be -2 - -1 - (-28 + 1). Let k = o - 11. What is the remainder when (1 + 17945/(-75) - 38/95)/(28/(-21)) is divided by k?
14
Let t(n) = -154*n - 2. Suppose 0 = 165*l - 161*l - 176. What is the remainder when t(-2) is divided by l?
42
Let g(j) = -7*j**2 + 41*j + 13. What is the remainder when 286 is divided by g(6)?
6
Calculate the remainder when (-10209)/(-7) - (-6 - (5 - 400/35)) is divided by 19.
14
Suppose -2*j + 19 = -3. What is the remainder when 54 is divided by 3/j + 4484/418?
10
Let o be (2 + 3 - -62) + 0. Calculate the remainder when 181 is divided by (o - -1) + -42 + 36.
57
Let r(a) = a**3 - 6*a**2 - 14*a + 124. Let f(b) = -b**3 - 7*b**2 - 9*b - 3. Let n = 1 - 7. Calculate the remainder when r(6) is divided by f(n).
10
Let m = -1 + 8. Suppose -3 = -a - 1, 2*r - a - 4 = 0. Suppose -d - 3*d + 12 = 0, r*q = 3*d + 42. What is the remainder when q is divid