 the third derivative of -u**4/24 + 11*u**3/3 + 9*u**2. Let p be s(13). Calculate the remainder when (-45)/20*(-96)/p is divided by 5.
4
Suppose -11*u = -20225 + 2185 - 1221. Calculate the remainder when u is divided by 288.
23
Suppose 224*u = -182*u + 435*u - 261. Let i = -4 + 7. Suppose i*k - 25 = -o - 0*k, -3*o = 3*k - 75. What is the remainder when o is divided by u?
7
Let d(z) = 2*z**2 + 62*z - 19. Let s be (-470)/141*(43/5 + 1). Calculate the remainder when 217 is divided by d(s).
37
Let z(r) = -r**3 - 13*r**2 - 12*r + 6. Let d be z(-12). Suppose 4*f - 3*l - 218 = -d*l, 2*l = 2*f - 116. Calculate the remainder when 163 is divided by f.
51
Let o be (-18)/(2 + 4 + -4). Let g(q) = -q**2 - 10*q + 59. Let u be g(-11). Let d = o + u. What is the remainder when 155 is divided by d?
38
Let y = 17682 - 7479. Calculate the remainder when y is divided by 243.
240
Let c = -671 + 2412. What is the remainder when c is divided by 83?
81
Suppose -4*v = -5*o - 523, 9*v - 632 = 4*v - o. Calculate the remainder when 344 is divided by v.
90
Let g = 187 - 134. Suppose 0 = l + 41 - 35. What is the remainder when g is divided by 7 + 18 + l*1?
15
Suppose -104 = -2*u + 56. Let y = -2471 + 2487. Suppose y*f - u = 14*f. What is the remainder when f is divided by 7?
5
Let n = -221 + 31. Let i = -161 - n. Suppose 0*h = 3*h - 15. What is the remainder when i is divided by h?
4
Let a = -40 - -77. Let f(k) = 20*k**2 - 450*k + 24. What is the remainder when f(23) is divided by a?
32
Let c = 6 - -3. Suppose -h + 12 + c = 0. Suppose -h*z - 40 = -25*z. What is the remainder when 48 is divided by z?
8
What is the remainder when 115 is divided by 24472/114*3/7?
23
Calculate the remainder when -5*9*(8/7 + (-4686)/462) is divided by 65.
15
Let l(n) = -5*n - 22. Suppose 131 = -10*f - 39. Let t be l(f). Let v = 88 - t. What is the remainder when v is divided by 13?
12
Let k(g) = -10*g**2 + 489*g + 108. Calculate the remainder when 706 is divided by k(49).
57
Let h = 6915 - 6823. What is the remainder when h is divided by 46?
0
Suppose 722 + 443 = 5*c. Let x = -7658 + 7684. Calculate the remainder when c is divided by x.
25
Suppose 6*u + 2*o - 48 = 0, 2*u + o - 42 = -28. What is the remainder when 1639 is divided by u?
9
Let a = -3 - -38. Suppose -a = 8*i + 53. Calculate the remainder when 15 is divided by 20/2 - (-7 - i).
3
Suppose -2*f + 2*x - 1293 = -3763, -2*f - x = -2455. Suppose 3*y + 7*y = f. Calculate the remainder when y is divided by 18.
15
Suppose 3*p - n = -6*n + 25, 2*p - 3*n - 42 = 0. Let g = 6 - 6. Suppose 0 = -r + f - 2*f + 97, g = f + 5. Calculate the remainder when r is divided by p.
12
Let s = 3538 - -171. Calculate the remainder when s is divided by 29.
26
What is the remainder when 1923 + -13 + 20 + -6 is divided by 8?
4
Let f(i) = 5*i**2 + 12*i - 3. Let h be f(-4). Suppose h*q - 2990 = 19*q. Calculate the remainder when q is divided by 50.
49
Suppose 116 = 2*p - 5*v, -5*p + 3*p = -v - 132. Calculate the remainder when -2686*(-5)/50 - (-280)/(-175) is divided by p.
63
Suppose 0 = -8*i + 48 + 24. Let r(n) = 2*n**2 + 12*n - 10. Let b be r(i). Suppose b = 3*d - 58. What is the remainder when d is divided by 36?
34
Let l(b) = b**2 - 98*b + 2360. What is the remainder when (-182)/(-4) + 2/(-4) is divided by l(57)?
22
Let o(y) = y**3 + 17*y**2 + 16*y**2 + 24 - 3*y + 4*y - 32*y**2 + 0*y**3. What is the remainder when 80 is divided by o(0)?
8
Let p be 48087/45 + 6/(-10). Suppose p = -15*n + 18*n. Calculate the remainder when n is divided by 18.
14
Let s = 5289 + -1490. What is the remainder when s is divided by 200?
199
Suppose -456 - 75 = -3*x. Let i = x + -108. Suppose 5*d = 2*d + i. Calculate the remainder when 67 is divided by d.
21
Let p(c) = c**2 - 6*c + 9. Suppose -n = 2*f - 4*f + 14, 2*n + 19 = 3*f. Calculate the remainder when p(f) is divided by 19.
17
Suppose -2 = -2*b, f = 2*f - 4*b + 3. Suppose 7*m + 16 = 30. Suppose -3*t + 16 = 5*k - 4, m*k = -t + 7. Calculate the remainder when f is divided by k.
0
Suppose 30*k - 291 = 189. Suppose -34*f + 31*f = -327. Calculate the remainder when f is divided by k.
13
Let j(w) = -11*w**2 + 396*w + 15. What is the remainder when 30 is divided by j(36)?
0
Let f = 48 - 39. Suppose 0 = 10*w - 921 - 239. What is the remainder when w is divided by f?
8
Let q be ((-2)/(-4))/((-1)/4). Let r(v) = 27*v**2 - 4. Let o be r(q). Suppose 0 = 9*g - g - o. What is the remainder when 37 is divided by g?
11
Let v(r) = 32 - 56 - 8*r + 6*r - 31. Calculate the remainder when (1/4)/((-15)/(-1380)) is divided by v(-32).
5
Suppose -3*o - 1596 = -9*o. Suppose 4*i - o - 294 = 0. Let x = i + -64. What is the remainder when x is divided by 39?
37
Calculate the remainder when 3205 is divided by 2431/110 - ((-486)/(-60) - 8).
15
Let g = -166 - -333. Suppose -4*s = -4*p - 3*s + g, 5*p + 2*s = 199. Calculate the remainder when p is divided by 15.
11
Let j be (340/(-15))/(14/147). Let o = j - -285. Calculate the remainder when o is divided by (-1)/2*-1*32.
15
Suppose -11*m + 164 = -9*m. Calculate the remainder when m is divided by (-780)/(-35)*(-49)/(-21).
30
Let x(n) = -10*n**3 - 2*n**2 - n - 4. Suppose 5*t - 4*w - 90 = 0, 4*t - 17 - 55 = 2*w. What is the remainder when x(-2) is divided by (t/(-7))/(5/(-35))?
16
Let m(w) = -14*w + 19. Let o be m(-13). Suppose -4*p + o = d, p = d + 41 + 3. Suppose -h + 8*h = p. Calculate the remainder when 18 is divided by h.
4
Let x = 5508 - 1611. What is the remainder when x is divided by 300?
297
Suppose -760 = -21*t + 269. What is the remainder when ((-66)/(-44))/(-1 + 385/382) is divided by t?
44
Suppose 6*c + 6*c - 8100 = 0. Suppose c*k - 656 = 659*k. What is the remainder when k is divided by 8?
1
What is the remainder when 99 is divided by 16/(-28)*(-13)/(26/28)?
3
Let z(r) = -2*r**3 + 4*r**2 - 8*r - 3. Calculate the remainder when z(-7) is divided by 12.
11
Suppose 3*d + 4*h - 10 = -1, -5*h + 12 = 3*d. Calculate the remainder when 634*d/(-14) - (-4)/(-14) is divided by 6.
3
Let b = -41648 - -41706. Calculate the remainder when b is divided by 46.
12
Let p(w) = 17*w - 144. Calculate the remainder when p(25) is divided by 50.
31
Let t be (-1)/2 - 188/(-8). Let r = -271 - -327. Let a = t + r. What is the remainder when a is divided by 41?
38
Calculate the remainder when (2 + -3)/(2/(-146))*3 is divided by 22.
21
Suppose -16 = 4*t, -10*s + 40 = -7*s - 4*t. Calculate the remainder when 269 is divided by ((-14)/2)/(s - 7)*-13.
87
Let o be (-2)/(15/140*(-16)/168). Suppose 0 = 3*l + 4*m + 332, -5*m = 22 + 3. Let j = l + o. Calculate the remainder when j is divided by 24.
20
Let j(r) be the second derivative of r**4/12 + 37*r**3/6 + 29*r**2/2 + 339*r. What is the remainder when j(-37) is divided by (-18)/4*(-16)/6?
5
What is the remainder when 10554 is divided by (3*-5)/((-11)/((-44)/(-2)))?
24
Let v = 9967 - 9748. What is the remainder when 678 is divided by v?
21
Let m = -4692 + 12323. What is the remainder when m is divided by 159?
158
Suppose 215*d - 4*t = 216*d - 1293, 0 = -4*d + 3*t + 5058. What is the remainder when d is divided by 12?
9
Let o = 161 + -159. Suppose 0 = o*v - 13 - 41. What is the remainder when 51 is divided by v?
24
Suppose 0 = 16*g - 15*g + 2. Let n be 186/((-6)/(-1)) - g/(-2). Suppose -3*b + n = 3*l, b + 4*l = 4*b - 16. Calculate the remainder when 11 is divided by b.
3
Let w(p) = 24*p - 5. Calculate the remainder when w(4) is divided by (-59)/((-885)/90)*7.
7
Suppose -m + 36 = -5. Let t = -22 - -67. Let g = -34 + t. What is the remainder when m is divided by g?
8
Suppose 10*m = 23*m. Suppose -7*s - 7*s + 1904 = m. What is the remainder when s is divided by 35?
31
Let b = -9 - -9. Suppose -2*f = -b*f - 18. Suppose -33 = -3*v + 3*h + 2*h, -4*h = -3*v + 30. What is the remainder when f is divided by v?
3
Let c = -449 + 1250. Let i = c - 790. Let v(h) = -16*h - 1. Calculate the remainder when v(-4) is divided by i.
8
Let a(g) = 2*g**3 - 11*g**2 - 6*g + 11. Let m(k) = 201*k - 98*k - 106*k - 18. Let z be m(-8). What is the remainder when 28 is divided by a(z)?
6
Suppose -52*l = 180 + 184. Let u(y) = 28*y**2 + 42*y + 27. What is the remainder when u(l) is divided by 79?
78
Let s(i) = -6*i - 1. Let c = 10121 - 10104. What is the remainder when s(-8) is divided by c?
13
Suppose -91*o + 54953 = 88