- 86. What is the remainder when f(51) is divided by 11?
1
Suppose -101*u = -4844 - 2630. Calculate the remainder when 171 is divided by u.
23
Suppose 1298 = 1934*j - 1930*j - 3*r, -4*j + 2*r = -1292. Calculate the remainder when j is divided by 73.
28
Suppose -k + 1516 = 1346. Calculate the remainder when 482 is divided by k.
142
Let b(o) = o**3 - 35*o**2 + 234*o + 53. What is the remainder when -1*120*(11/(-5) - -1) is divided by b(26)?
38
Suppose -196*x = 243*x - 4390. Suppose 0 = -3*k + 2*k + 318. Calculate the remainder when k is divided by x.
8
What is the remainder when (-9245)/(23/115*(-6 + 1)) is divided by 16?
13
Let v(w) = 3*w**2 - 101*w - 148. Calculate the remainder when v(44) is divided by 53.
50
Suppose 1 = -k + 19. Let g = 3017 + -2948. Calculate the remainder when g is divided by k.
15
Suppose 36 + 0 = 4*k. Suppose k*r = 7*r - 186. Let c = r - -108. What is the remainder when 55 is divided by c?
10
Let j = -2473 + 2523. Suppose 5*n - 59 = 6. What is the remainder when j is divided by n?
11
Let f be (-2 - 14/(-7))/(1*-1). What is the remainder when f - (-5)/(25/590) is divided by 1185/30 - 6/(-4)?
36
Let d be ((-9)/5)/(96/(-320)). Calculate the remainder when (4/d)/(5 - (-133)/(-27)) is divided by (2*-1)/((-4)/10).
4
Suppose 6618 = 84*g - 1446. Calculate the remainder when g is divided by 431/13 - (-40)/(-260).
30
Suppose 5*z = -3*n + 754 - 88, 4*n = 10*z - 1362. Calculate the remainder when 3239 is divided by z.
134
Let l be -1*135/(36/4). What is the remainder when (29352/15)/8 + (-6)/l is divided by 28?
21
Suppose 8*v - 12432 = -1944. Suppose 9*x - v = -87. What is the remainder when x is divided by 75?
61
Let d be 6/18*(-5)/(15/(-153)). Suppose 5*o = 4*h - 29, 3*h = 5*o + 6 + d. Let i(g) = g**2 - 5*g + 20. Calculate the remainder when 155 is divided by i(h).
25
Let r(l) = 9*l + 5. Suppose -70*v + 45*v + 15840 = 47*v. What is the remainder when v is divided by r(3)?
28
Let w be 4/10 - (-18)/5. Suppose 0 = 4*t - z - 30 - 30, 2 = -t - w*z. Let k(l) = l**2 + 7*l - 7. Calculate the remainder when k(5) is divided by t.
11
Let o(y) = -2*y + 1. Let t be o(5). Let r(f) be the first derivative of -3*f**2/2 - 9*f + 71. Calculate the remainder when 88 is divided by r(t).
16
Suppose 3 = -3*f + 24. Let w = 18 + f. Suppose 36*k + 17*k = 5194. What is the remainder when k is divided by w?
23
Let d(v) = v**2 + 131*v + 1984. Calculate the remainder when 5703 is divided by d(-17).
45
Let w(t) = 38*t**2 - 3*t - 2. Let z(l) = -l**2 + 16*l - 49. Let f be z(12). Calculate the remainder when w(f) is divided by 11.
6
Let o(f) = 3*f**2 + 38*f + 235. Calculate the remainder when o(27) is divided by 17.
14
Let v(s) = -177*s + 1629. Calculate the remainder when 1598 is divided by v(9).
14
Let l be (1 + 4)*((-16)/10 - -2). Let t(v) = v**2 + 7*v - 10. Suppose 45 = 5*y - 25. Calculate the remainder when y is divided by t(l).
6
Let q = -26 - -96. Suppose 5*p = 5*m - q, 58 = 3*m + 6*p - p. Calculate the remainder when m is divided by 10.
6
Suppose -o - 2*g = 2*o - 20, -2*o - 8 = -4*g. Suppose -5*c = 5*s - 25, -2*c = -c + o*s - 11. Calculate the remainder when 14 is divided by c.
2
Suppose 0 = -t + 3*n + 46, 6*n + 230 = 5*t + 5*n. Suppose 2*c - c - 16 = 0. Suppose 0 = -3*z + c + 32. What is the remainder when t is divided by z?
14
Suppose 3 = -4*p + 19. Suppose -20 = -p*g - 0*g. Suppose 5*i + g*i = 310. What is the remainder when 185 is divided by i?
30
Calculate the remainder when (-718)/(-1)*(-2)/(-4) is divided by 5 + (102 - 19) + -4 + 0 - -7.
86
Suppose -o + m + 46 = 7, -o + 39 = 2*m. Suppose 0 = -o*u + 40*u - 76. What is the remainder when u is divided by 13?
11
Suppose h = 1, 3*w + 330*h - 328*h - 7022 = 0. What is the remainder when w is divided by 67?
62
Let q(i) be the third derivative of -i**6/8 + i**5/12 + i**4 - 2*i**3/3 - i**2 - i. What is the remainder when q(-3) is divided by 95?
89
Suppose -564 = 7*o - o. Let a = o + 99. Suppose a*p = 3*i - 566 - 38, 3*p = -i + 220. What is the remainder when i is divided by 30?
28
Let z(k) = 5*k**3 + k**2. Let h be z(1). Let s = h + -54. Let x = s - -80. Calculate the remainder when x is divided by 7.
4
Let k(g) = -2*g - 16. Let d be (-5 - (-34 - -1))*(-2)/(-4). Let j be k(d). What is the remainder when 28 is divided by (-1)/(-2) + (-638)/j?
13
Let s = 16422 + -16234. Calculate the remainder when 657 is divided by s.
93
Suppose 3*u - 20*m - 840 = 0, -u = -2*m - 400 + 134. What is the remainder when u is divided by 99?
62
Suppose -9*t + 416 = 4*i - 11*t, -i - 3*t + 90 = 0. Calculate the remainder when 361 is divided by i.
55
Let t(w) = w**3 + 10*w**2 - 43*w + 344. What is the remainder when t(-14) is divided by 55?
52
Let y = -1091 + 1010. Let i = y + 222. What is the remainder when i is divided by 64?
13
Suppose 3*d + 4*m = 256, 496 = 5*d + 2*m + 74. What is the remainder when 1088 is divided by d?
80
Let y(l) = 95*l + 3. Let h be y(3). Suppose -3*u - u + h = 0. What is the remainder when u is divided by -2 + -4 + 33 + -8?
15
Calculate the remainder when 517 is divided by 6/(-16) + (424935/168)/57.
33
Let b = 5475 + -3766. What is the remainder when b is divided by 8?
5
Suppose -3*c + 3*c = 3*c. Suppose -r + 42 - 28 = c. What is the remainder when 96 is divided by r?
12
Let a = 24 + 168. Suppose -6*z = -2*z - a. Let t = -35 + z. Calculate the remainder when t is divided by 7.
6
Suppose -4*b = 16, -7*v + 2*b = -6*v - 232. Calculate the remainder when v is divided by 3.
2
Let p = 12 - 7. Let d be (-2 + -6 + -1)*(-3)/(45/20). Suppose -p*x = -8*x + d. What is the remainder when 15 is divided by x?
3
Suppose -15*x + 133 = -122. Calculate the remainder when 17 is divided by (-4)/6*(-26 + x).
5
Let u(s) = -s**3 + 8*s**2 - 8*s + 7. Suppose n - 13 = -9. Suppose 4*b + 5*y - 7 = 48, b - 11 = -n*y. What is the remainder when u(5) is divided by b?
12
Suppose 53*j - 7830 = 21453 + 38133. What is the remainder when j is divided by 83?
27
Let p = 1236 - 1210. Calculate the remainder when 0 - -10*15 - -3 is divided by p.
23
Suppose 75 = 5*j - 10. Suppose -224 = -4*v + 4*x, -3*v - 16*x + 174 = -17*x. Calculate the remainder when v is divided by j.
8
What is the remainder when (1916 - -44) + 1 + 13 is divided by 60?
54
Suppose -2*q + 12966 = -13022. What is the remainder when ((-1)/2)/((-73)/q) is divided by 23?
20
Let z(r) = -89*r - 320. What is the remainder when 190 is divided by z(-4)?
10
Let s(t) = t**3 + 59*t**2 + 165*t - 130. What is the remainder when s(-56) is divided by -1*3/((-9)/66)?
16
Let a = 830956 + -830929. Suppose 0 = -n - 2*n + 3*d + 252, -3*d = 4*n - 350. Calculate the remainder when n is divided by a.
5
Suppose -5*f + 662 = -y, 13*f = 14*f - 2*y - 118. Let u(w) = -w**3 + w**2 - w + 28. Calculate the remainder when f is divided by u(0).
22
Suppose 2*p = -8 + 46. Let l(j) = -3*j - 4. Let c be l(-3). Suppose 0*k + 54 = 4*k + 2*m, -5*m - 30 = -c*k. What is the remainder when p is divided by k?
8
Let i(a) = a**2 + 2*a - 5. Suppose -1806*v + 1803*v - 522 = 0. Let w = -152 - v. Calculate the remainder when w is divided by i(-4).
1
Let c = 2 - 1. Suppose -3*x - 14*x + 85 = 0. What is the remainder when 27 is divided by (c - (3 - (1 + x)))/1?
3
Suppose 0 = -132*p + 40386 + 179130. What is the remainder when p is divided by 413?
11
Let f = 62 + -20. Calculate the remainder when 403/5 - (-216)/540 is divided by f.
39
Suppose 4*i - 8 = 0, o + 4*o - i = -17. Let k(j) = j**2 - 7*j + 8. Calculate the remainder when k(6) is divided by (-3)/(5/10 + o + 1).
0
Let t(u) = 6*u + 142. Let d = 285 + -307. What is the remainder when 311/4 - 1/(-4) is divided by t(d)?
8
Let b be -1*(-1)/(-1)*(-2)/(-2). Let n = b - -25. What is the remainder when 309 is divided by n?
21
Suppose 0 = -d - 0*t - t - 48, -5*t = 2*d + 99. What is the remainder when (4*2)/(d/(-235)) is divided by 12?
4
Suppose 41*t - 39*t - 10 = 0. Suppose -11 = p - t. Let s(z) = -z. What is the remainder when s(p) is divided by 4?
2
What is the remainder when 8243 is divided by 30/((-480)/(-1456)) + 9*(-2)/(-3)?
95
Suppose 5096*f - 435 = 5081*f. Suppose 0 = -4*w - z + 132 + 92, w - 4*z = 56. What is the remainder when w is divided by f?
27
Let u = -39 + 65. Let m = u - 21. Suppose 0 = -3*j - 5*y + 31, -5*j = -2*y + 4*y - 39. What is the remainder when j is divided 