the third derivative of k**6/30 + k**5/60 - k**4/4 + k**3/2 - 8*k**2. What is the remainder when c(h) is divided by 5?
2
Let l = 6378 - 6009. What is the remainder when 405 is divided by l?
36
Suppose -703*s - 34 = -705*s. Let f = -166 + 349. What is the remainder when f is divided by s?
13
Let t(j) = 8*j**3 - 9*j**2 - 33*j + 8. What is the remainder when t(4) is divided by 124?
120
Let a(p) = -p**3 + 11*p**2 - 22*p + 9. Let k be a(9). Let q = 145 - 117. Calculate the remainder when 45 is divided by (q + k)/(2/14).
3
Let w = 3186 - 3134. Calculate the remainder when 1039 is divided by w.
51
Let c(n) = n**3 + 17*n**2 + 41*n + 4. Calculate the remainder when 31 is divided by c(-14).
13
Let p be (4/6)/((-6)/(-261)). Let q = p - 0. Let s = q + -11. What is the remainder when 51 is divided by s?
15
Let f(d) = -6*d - 5. Let x(a) = 736*a - 33026. Calculate the remainder when x(45) is divided by f(-5).
19
Suppose 24*r + 658 = 17*r. What is the remainder when 27/15*(1 - r/6) is divided by 9?
3
Let v(b) = -8*b**2 - 4*b + 4. Let j be v(2). Let z = -23 - j. Let x(s) = s**3 + 10*s**2 + 20*s + 17. What is the remainder when x(-7) is divided by z?
11
Suppose -27 = 4*m - 7. Let y(q) = -12*q - 29. Calculate the remainder when 180 is divided by y(m).
25
Let v = -19405 - -19597. Let x be (-2)/7 + (-25)/35. Let u = x - -40. Calculate the remainder when v is divided by u.
36
Suppose n - 5*r - 1943 = 0, -2648 = 5*n + 2*r - 12282. What is the remainder when n is divided by 216?
200
Let b(g) = 730*g**3 + 17*g**2 - 2*g + 2. What is the remainder when b(1) is divided by 125?
122
Suppose 11*n - 12*n = -189. What is the remainder when n is divided by (-1740)/(-36) - (-3)/(-9)?
45
Let j be -1 + 5 + -60 + (1 - 2). Let l = j - -89. Suppose -l = -4*i + 100. What is the remainder when i is divided by 20?
13
What is the remainder when 1519 is divided by -6*(4 - 372/36)?
37
Suppose 0 = -2*c + 6*c + 6*l - 12418, -3*l - 12427 = -4*c. What is the remainder when c is divided by 1021?
43
Let j(c) = c**3 + 7*c**2 + 403*c + 3314. Let o = -4 - -4. Suppose -5*s + 80 = -o*s. Calculate the remainder when j(-8) is divided by s.
10
Let d(f) = f**2 + 8*f + 3. What is the remainder when d(6) is divided by 4 - ((-2)/(-3) - 498/18)?
25
Let q(u) = u**3 + 37*u**2 - 299*u + 30. Calculate the remainder when 3440 is divided by q(7).
92
Let c = 10410 - 10266. Let b = -24 + 39. What is the remainder when c is divided by b?
9
Let j(l) = 9*l - 24. Let h(o) = -2*o + 2. Let s(f) = 4*h(f) + j(f). Calculate the remainder when 160 is divided by s(31).
10
What is the remainder when 2924/(-16 - -20) + (-2 - 9) is divided by 26?
18
Let t be (-54)/1*(-3)/9. Suppose -6*z - 84 = t. Let x(f) = -5*f + 11. Calculate the remainder when x(z) is divided by 14.
12
Let u(w) = -w**3 + w**2 - w + 9. Let f be u(3). Calculate the remainder when (-3*5)/(f/256) is divided by 36.
32
What is the remainder when 437 is divided by (2 - (-1394)/(-153))/((-2)/9)?
21
Suppose 17*j - 13*j = 880. Calculate the remainder when j is divided by 36.
4
Suppose 2*i - 119 = -5*u, -2*u + 2*i + 65 = -3*i. Suppose -18*a = -u*a + 483. Calculate the remainder when 274 is divided by a.
67
Suppose -k = c + c - 156, 3*k - 24 = 0. Calculate the remainder when 11395 is divided by c.
73
Let q(s) = 5*s - 6*s + 250 - 490 + 272. Suppose 3*f + f = 52. Calculate the remainder when 94 is divided by q(f).
18
Suppose a - 16 = 2*u, 2 = -4*u - 4*a - 6. Let j = u + 8. Suppose -2*h - 41 - 7 = -j*f, 5*h - 83 = -2*f. What is the remainder when f is divided by 16?
13
Let m = -465 - -289. Let f = 283 + m. Calculate the remainder when f is divided by 183/15 - (0 - 1/(-5)).
11
Let a = -21342 + 21938. Calculate the remainder when 1803 is divided by a.
15
Let c be 2213 + (2/(-3))/(14/(-21)). Suppose 6348 - c = 53*s. What is the remainder when s is divided by 30?
18
Let w = 9734 + -9682. Calculate the remainder when 90 is divided by w.
38
Suppose -7*g = 43*g + 350. Let s(u) be the second derivative of -u**5/20 - u**4/3 - 5*u**3/6 - u**2/2 + 2*u. Calculate the remainder when s(g) is divided by 46.
43
Let c(f) = -f**3 + 18*f**2 + 48*f - 51. Suppose 3*z - 8*z + 55 = 0. Calculate the remainder when c(20) is divided by z.
10
Suppose 0 = -13*w + 4*w. Suppose 5*a - 93 - 342 = w. Calculate the remainder when a is divided by 24.
15
Let b(c) = c**2 - 9. Let w be b(6). Suppose 8*f - w = 501. What is the remainder when f is divided by 33 + 4/(-6)*-3?
31
Suppose 616 = 2*q + 2*n, 35*n - 32*n = 5*q - 1484. What is the remainder when 960 is divided by q?
57
Suppose 0*b - 3*b = -831. Suppose 7*f = -5*u + 112, -24*u + 22*u - 5*f = -36. What is the remainder when b is divided by u?
25
Let p(n) = 7*n + 3. Let w(o) = 19*o + 10. Let i(j) = -11*p(j) + 4*w(j). What is the remainder when 77 is divided by i(-15)?
11
Let l(o) = 48*o - 1810. What is the remainder when 4253 is divided by l(38)?
11
Suppose 0 = -0*h + 9*h - 2250. Suppose 294 + h = 4*u. Calculate the remainder when u is divided by 20.
16
Let s(q) = 53*q + 379. What is the remainder when s(47) is divided by 13?
10
Let c = 319 - 330. Let l(v) = -19*v - 30. Let i(d) = d**3 + 10*d**2 + 11*d + 5. What is the remainder when l(c) is divided by i(-8)?
44
Let w(s) = -s**3 + 12*s**2 - 12*s + 16. Let d be w(11). Suppose -2*a + d = 7, -2*o + 5*a = -75. Let n = 53 + -35. What is the remainder when o is divided by n?
17
Suppose -p = -4*m - 3*p - 20, -3*m + 2*p - 1 = 0. Let t be -32 + (-3)/(-3 - 0). Calculate the remainder when 1/m - (t/3 + -6) is divided by 9.
7
Let h(u) = 8*u - 6. Let w be -4 + 1 - 9/(-1). Let x be (w*1)/(-9 + 11). Calculate the remainder when 69 is divided by h(x).
15
Let x(m) = -3*m - 21. Suppose 3*y = h - 15, y + 10 = 2*h - y. Let l be x(h). What is the remainder when (0 - 7)/(3/l) is divided by 25?
24
Let x be (-2 + (-816)/(-15))/(1/(-5)). Let y = x - -607. Let g = y + -194. What is the remainder when g is divided by 22?
19
Calculate the remainder when 5 + 15/(-3) + 2 + 96 + -4 is divided by 40.
14
Let x be (0 + 6)*(-112)/(-7). Calculate the remainder when 54 is divided by 5/(-2)*(-4 + x/(-15)).
2
Let d be (-8)/(-14) + 3478/(-329). Let m(t) = -t + 6. Let j(h) = -h**3 - 3*h**2 - h + 3. What is the remainder when m(d) is divided by j(-3)?
4
Let w = 409 + -402. Suppose w*i = 2085 + 2689. What is the remainder when i is divided by 57?
55
Let a(d) = -10*d**2 - 75*d - 39. Calculate the remainder when 122 is divided by a(-4).
21
Suppose r + 20 = 5*r. Suppose r*f = f. What is the remainder when 40 is divided by 18 - (f - (1 + 3))?
18
Let l(o) = 4 + 7*o + o**2 - o**3 + 2*o**2 - 11 - 3. Let q be l(-6). Suppose -3*b = -q + 107. Calculate the remainder when b is divided by 8.
7
Calculate the remainder when 2872 is divided by (-3)/((-36)/24) + 157 - -1.
152
Let z = -2813 - -2836. What is the remainder when 226 is divided by z?
19
Suppose -8 = -4*u, d - 74 = -3*u + 11. Calculate the remainder when 1038 is divided by d.
11
Let p = -69 - -39. Let c = p - -31. Calculate the remainder when (4/(9 - c) + 0)*148 is divided by 13.
9
Let l(g) = -g**3 - 7*g**2 - 19*g + 6. What is the remainder when 3312 is divided by l(-5)?
48
Let j = -832 + 577. Let a = j + 382. Calculate the remainder when a is divided by 58.
11
Let d(v) = 3*v + 51. Let u be d(-16). Suppose 0 = -5*k - 0*y - 4*y - 609, 3*k = -u*y - 366. Let w = k + 210. What is the remainder when w is divided by 6?
5
Let j(k) = k**3 - 11*k**2 - 7*k - 15. Let w be j(12). Suppose 3*p + 7 - w = -y, -4*p - 2*y = -54. Calculate the remainder when 16 is divided by p.
5
Suppose -3*d = 2*f - f - 8, -2 = 2*f - 3*d. Suppose w - 12 = -3*l, 32 = 2*w - 0*w - f*l. Calculate the remainder when (-3)/(w/(-340)) - 2 is divided by 23.
20
Suppose 0 = 5*l - 30, l = 54*b - 56*b + 30. Calculate the remainder when 491 is divided by b.
11
Suppose 5*g + 331 = 3*k, k - 7*g = -3*g + 108. Calculate the remainder when k is divided by 1*(25 - 25 - -23).
20
Let x be (2 + 3 + -6)*-5. Suppose 10*b = -2*s + 12*b + 42, 5*s = -x*b + 135. What is the remainder when s is divided by (-1 - -3)*(-13)/(-2)?
11
Suppose 72*u - 14415 = 41285 - 3716. What is the remainder when u is divided by 29?
26
Suppose 123*z + 23*z = 14*z + 224532. Calculate the remainder when z is divided by 241.
14
Suppose 100 + 132 = 8*r. Let p(k) = 3*k - 31. Calculate the 