t c(k) = 12*k**2 + 190*k + 13. Calculate the remainder when 219 is divided by c(v).
39
What is the remainder when -25 + 2 + 83 + 14217 is divided by 70?
67
Let g(d) = -10 + 35*d - 21*d + 2 + 53*d. What is the remainder when 233 is divided by g(1)?
56
Let q(o) be the first derivative of 13*o**4/4 - 5*o**3/3 + 7*o**2/2 - o - 52. What is the remainder when 68 is divided by q(1)?
12
Suppose -k = 4*a + 2, 0 = 7*k - 3*k - 4*a - 72. What is the remainder when 1198 is divided by k?
8
Suppose -59*u + 64*u - 3985 = 0. Let m = u - 526. Calculate the remainder when m is divided by 17.
16
Let y = 135 + -91. Suppose -4*r - 4*l = -y, 4*r - 4*l = 2 + 58. What is the remainder when 151 is divided by r?
8
Calculate the remainder when -1 + (408/(-2))/(-3) is divided by ((-2)/(-20)*-2)/(338/(-45630)).
13
Let n(b) = b**3 + 5*b**2 - 5*b + 37. Suppose -z - 1 = 0, 3*x = 2*x + 4*z + 60. Calculate the remainder when n(4) is divided by x.
49
Let u(a) = 9*a**3 + 10*a - 23. Let n(d) = -2*d**2 - 13*d - 18. Let z be n(-4). Calculate the remainder when u(z) is divided by 25.
19
Suppose 5*t - n = 3134, -2504 = -9*t + 5*t + 4*n. Calculate the remainder when t is divided by 154.
11
Calculate the remainder when 20 is divided by ((-21)/(-6) + 2)/((-35)/(-70)).
9
Let k = -15 - -54. Let y(s) = -s**3 + 13*s**2 - 25*s + 41. Let g be ((-22)/6)/(18/(-54)). Calculate the remainder when k is divided by y(g).
7
Suppose 7*n + 16*n = 21*n + 490. Calculate the remainder when 249 is divided by n.
4
Let a = -5 + 72. Let l be (1/2)/((-5)/(-150)). Let p = l + 2. Calculate the remainder when a is divided by p.
16
Let i(w) = -12*w**2 + 14. Suppose -c - 4 = -q, 0 = -4*q - 2*c - 13 + 5. Suppose 0 = 5*f - 4*f - 3. What is the remainder when i(q) is divided by f?
2
Let i(o) = 32*o**2 - 141*o - 13. Calculate the remainder when i(5) is divided by ((-2)/(-3))/((-4)/(-252)).
40
Let r = 9 + 13. Let p be 6/(3 - r/6). Calculate the remainder when 14 is divided by p/(-2) + (-5 - -1)/8.
2
Suppose -55*r - 10*r = 1560. Let c(k) = k**2 - 7*k + 6. Let b be c(4). Calculate the remainder when 95 is divided by 8/r - 146/b.
23
Let i(v) = -v**3 + 12*v**2 + 6*v - 54. Let m be i(12). Suppose 928 = -m*j + 50*j. Calculate the remainder when j is divided by 2.
1
Let w(z) = z**3 + 37*z**2 + 26*z - 301. What is the remainder when 1459 is divided by w(-36)?
43
Let o(s) = -180*s - 52. Let k be o(-3). Let b = 670 - k. Suppose 0*p = p - 5*x - 51, -5*p = -3*x - 233. Calculate the remainder when b is divided by p.
44
Let t = 2125 - 413. What is the remainder when t is divided by 255?
182
Calculate the remainder when 83 is divided by ((63 - 53) + (-22)/10)*5.
5
Let b be (-4011)/15 + 18/(-30). Calculate the remainder when 2/8 + (-13601)/b is divided by 20.
11
Suppose -31*f + 29*f + 14 = 0. Suppose b = g - 8, 0 = -4*b + 2*b - 4. Calculate the remainder when f is divided by g.
1
What is the remainder when (13/((-104)/96))/((-24)/3136) is divided by 1567?
1
Let w(s) = -s**3 - s**2 + s + 83. Let v(d) = 1 + 7*d**2 + 16 - d**3 + 23*d - 12*d**2 - 5*d**2. What is the remainder when w(0) is divided by v(-12)?
25
Let y(f) = -23*f**3 - 2*f**2 - f. Suppose 12678*l = 12879*l - 18894. What is the remainder when l is divided by y(-1)?
6
Suppose -33828 - 1948 = 305*m - 318*m. Calculate the remainder when m is divided by 95.
92
Let z = -5071 + 6025. What is the remainder when z is divided by 29?
26
Let l = 4535 + -4479. What is the remainder when l is divided by 6/(-15) + 107/5?
14
Let g(c) = c**2 + 51*c - 1401. What is the remainder when g(41) is divided by 21?
19
Let w(m) = 76*m + 65. Let x be w(3). Let y = x + -209. Let g = -21 - -38. What is the remainder when y is divided by g?
16
Let k = -1220 + 1241. Calculate the remainder when 97 is divided by k.
13
Suppose 0 = 56*n - 10678 - 13906. Calculate the remainder when n is divided by 3.
1
Suppose 1438 = 220*k - 3182. Calculate the remainder when 323 is divided by k.
8
What is the remainder when (198/(-8))/(-9)*20 is divided by (-14)/3*(1 - 152/56)?
7
What is the remainder when (-4)/36 - 83646/(-486) is divided by -2 - 126/(-2) - 1?
52
Let s(n) = 10*n**3 + 96*n**2 - 9*n + 3. What is the remainder when s(-7) is divided by 660?
20
Let w(p) = 3858*p - 550. What is the remainder when w(3) is divided by 269?
264
Suppose 18*k - 14*k = -12. Let y be (-1)/k*(4 - -2). Suppose 5*m + 46 = y*a, 5*a - 86 = -m - m. What is the remainder when 69 is divided by a?
15
Suppose 4*l + 55 = 3*g, 0 = l - 3*l - g - 15. Let t = 62 + l. Let n(r) = r + 19. Calculate the remainder when t is divided by n(-8).
8
Suppose -14*n + 508 = 4. Let s = 92 - n. Calculate the remainder when 109 is divided by s.
53
Let g(a) = -a**2 - 6*a + 10. Let v be g(-8). Suppose 166 - 76 = 5*t. Calculate the remainder when t is divided by (2/v)/((-11)/99).
0
Let w(f) = -f**3 + 9*f**2 + 12*f + 4. What is the remainder when 41 + ((-48)/30)/((-1)/5) is divided by w(10)?
1
Suppose 0 = j, 66*j - 60*j + 21663 = o. What is the remainder when o is divided by 46?
43
Let f(d) = 2*d + 13 - 7*d - d - 3*d + 2*d**2. What is the remainder when f(-8) is divided by 36?
33
Let p(x) = -83*x - 1. Let a be p(1). Let b = -68 - a. What is the remainder when 139 is divided by b?
11
What is the remainder when (-39088)/(-9) + 34/(-306) is divided by 25?
18
Let c(i) = 95*i**2 - 12*i - 12. What is the remainder when 255 is divided by c(-1)?
65
Suppose -5*r = z + 15, -7*z + 3*z - r + 16 = 0. Let h be -1 - 3/(9/87). Let y = h + 44. What is the remainder when y is divided by z?
4
Suppose j + 45 = 5*h + 5*j, 3*h - 40 = -5*j. Suppose h*l - 5 = 5*v, 5*v + 4*l - 15 = 5*l. Calculate the remainder when 5*(-85)/(-50)*v is divided by 16.
2
Suppose -39 = 3*v - 2*c, 5*v + 64 = -0*v + 3*c. Let w = v + 12. Calculate the remainder when w is divided by 14/12 + -6 + 140/24.
0
Let y(w) = -17*w**2 + 6*w + 5. Let z be y(-1). What is the remainder when 223/2 - ((-81)/(-9))/z is divided by 30?
22
Let v(u) be the first derivative of -4*u - 26 - 2/3*u**3 - 1/4*u**4 - 2*u**2. Calculate the remainder when v(-3) is divided by 7.
3
Let u = 14910 + -22631. Calculate the remainder when (-5)/(-20) + u/(-28) is divided by 31.
28
Suppose a - 202 - 1280 = 5*h, -3*a + 2*h = -4368. Calculate the remainder when a is divided by 11.
0
Suppose -2*y + 4*t - 96 = 0, -23 + 20 = t. Calculate the remainder when 54/(-5)*(39 + y) is divided by 4.
2
Suppose o = 3*o - 534. Let d be (-6)/(-24)*-6 + 753/2. Let w = d - o. What is the remainder when w is divided by 37?
34
Suppose -39*j - j = -4040. What is the remainder when 388 is divided by j?
85
What is the remainder when -14 - ((-5456)/11 + -10) is divided by 13?
11
Let x(y) = y**3 + 3*y**2 + 4*y + 8. Let n = 1 - -3. Suppose 7 + 36 = 2*k + 5*u, 0 = -n*u + 20. Calculate the remainder when k is divided by x(-2).
1
Let i = 41 + -37. Suppose -2*z + i*y + 236 = 7*y, 3*z + 4*y - 353 = 0. Calculate the remainder when z is divided by 15.
10
Let v(g) = 4*g - 1. Let h be v(10). Suppose -5 = q - h. Calculate the remainder when q is divided by ((-12)/(-8))/((-1)/(-8)).
10
Let u = 1258 - 941. Calculate the remainder when u is divided by 85.
62
What is the remainder when 2193 is divided by (-16)/68 - 621550/(-850)?
0
Let b = -352 + 405. Calculate the remainder when 85 is divided by b.
32
Suppose -30*j = -4*j + 5356. Let y = j + 404. Let p(h) = -8*h - 14. Calculate the remainder when y is divided by p(-8).
48
Let j(v) = -200*v + 3796. What is the remainder when j(6) is divided by 647?
8
Let h(z) = 3*z**3 - 3*z**2 - z + 2. Let g be h(2). Calculate the remainder when 78/g*(-8)/(-1) is divided by 1328/112 + 12/(-14).
8
Let h be 474/30 - (-5)/50*2. Let y(g) = -5*g + 102. Calculate the remainder when 1 + (0/(-1) - -41) is divided by y(h).
20
Suppose 0 = -21*d + 8*d + 299. Suppose 71 + 243 = 2*a. Let m = a - 90. Calculate the remainder when m is divided by d.
21
Let y(c) = 9*c + 1. Let d be y(-5). Let o = 3789 + -3738. What is the remainder when (2 + 51/(-12))*d is divided by o?
48
Suppose 0 = -5*l + 479 - 49. Suppose -22 - l = -12*x. Calculate the remainder when x is divided by 7.
2
Let g(f) = -41*f - 1031. Calculate the remainder when 82 is divided by g(-27).
6
Suppose 28*c - 24*c = 36. Suppose -c*u + 95 = 23. What is the remainder when 39 is divided by u?
7
Let n(s) = 4*s - 70. Suppose 5*z 