late the remainder when 99 is divided by l(k).
24
Let i = 3397 + -3227. Calculate the remainder when 517 is divided by i.
7
Let z = 155 + -265. Suppose 0 = 4*c - 862 + 50. Let r = z + c. Calculate the remainder when r is divided by 32.
29
Let d(n) = n**2 + 3*n - 3. Let q be d(1). Let f be 46/q - (-21)/7. Suppose i = 2*j - 5*j + 26, 5*j - 4*i - f = 0. What is the remainder when 41 is divided by j?
5
Suppose 0 = m + 3*v - 48, 13*m - 18*m - 3*v = -300. Calculate the remainder when (105/m)/((-1)/(-33)) is divided by 10.
5
Suppose -47*p + 1978 = 944. Calculate the remainder when 5986 is divided by p.
2
What is the remainder when 320 is divided by 14014/78 - (-77)/33?
138
Suppose -3*p = b - 142, b + b + 59 = p. Let o = 8251 - 7420. Calculate the remainder when o is divided by p.
47
Suppose 24*f - 5481 = 45*f. Let h = f - -278. What is the remainder when 30 is divided by h?
13
Let y(v) = -2*v**3 - 4*v**2 - 13*v + 8. Let z be y(-3). Calculate the remainder when 67 is divided by (-38)/(-12) - z/390.
1
Let v = 226 + 439. What is the remainder when v is divided by 26?
15
Let d(b) be the third derivative of b**5/20 + b**4/3 - 11*b**3/6 - 3*b**2 - 23. Suppose h - 2*h + 22 = 0. What is the remainder when d(3) is divided by h?
18
Let q = -336 + 984. Suppose -7*p = -43*p + q. What is the remainder when (-2)/12*-62*3 is divided by p?
13
Let u be 1 + (-101)/(-9) + 4/(-18). Let f be (198/u)/11 - (-6)/(-4). Suppose f*v = -3*v + 3. What is the remainder when v is divided by 1?
0
Suppose -78603 = -397*x + 7149. Calculate the remainder when x is divided by 56.
48
Suppose -4*r - k = k - 1348, 3*k = -r + 342. Suppose -3*g + r = -g. Suppose 7*v + v = g. What is the remainder when v is divided by 6?
3
Suppose -2*v - 2*v = 5*p + 160, -2*p = -v - 27. Let l be (-36)/24*140/(-3). Let i = l + v. Calculate the remainder when i is divided by 6.
5
Suppose -5*b - 4*p + 1013 = 0, 4*b - 3*b + 4*p = 209. Calculate the remainder when b is divided by 71.
59
Let k = -25 + 59. Suppose -m + 24 = -3*a - k, 50 = m - a. Suppose 5*t - 4*d - 65 = 0, 3*d = -t + 8*d - 8. What is the remainder when m is divided by t?
12
Suppose -3*g = 15, -4*f - 4*g = -2*g - 1198. What is the remainder when f is divided by 39?
29
Suppose 6047 + 27507 = 19*b. Suppose 9*o + 263 - b = 0. What is the remainder when o is divided by 58?
51
Let s be 2*(3 + -1 - (-16)/(-32)). Suppose s*j + g = 2*j - 49, j + 61 = 3*g. Let y = j + 65. What is the remainder when y is divided by 8?
5
Suppose 18*s - 40 = 194. Let i(b) = 20*b + 2. Let p be i(-1). Let r = p - -35. What is the remainder when r is divided by s?
4
Let h(k) = k - 14. Let n be h(11). What is the remainder when (-6)/33 + (-422)/(-22) is divided by (-1 - 6)/(3/n)?
5
Suppose 3 = -3*b, -21203 = -16*q - 2*b + 16043. Calculate the remainder when q is divided by 174.
66
Let h be 14/(-91) - (-56)/26. Suppose -2*z = h*z - 16. Suppose -2*x + 66 = -y + z*y, -4*x - 4*y = -140. What is the remainder when x is divided by 10?
9
Calculate the remainder when 37 is divided by 2277/132*4/3.
14
Let y(o) = 246*o - 5. Let u be y(3). Let j = 1043 - u. Calculate the remainder when j is divided by 35.
30
Let q = -85569 + 85742. Calculate the remainder when q is divided by (-138)/(-4) - 1/(-2).
33
Let k(q) = 6*q - 45. Let n be k(10). Suppose 0 = -5*f + 2*a + n, -4*a - 10 = -5*f - a. Calculate the remainder when f is divided by 3.
2
Let h(f) = -f**3 + 20*f**2 + 357*f - 3953. What is the remainder when h(11) is divided by 530?
3
Let x(b) = -2*b**2 - 5*b - 11. Let g be x(10). Let w = -231 - g. What is the remainder when 107 is divided by w?
17
Suppose 70*w = 79*w - 171. Suppose -21*v = -w*v - 312. Calculate the remainder when v is divided by 46.
18
Suppose 0 = 3*m + 5*g - 52, -2*m = -0*g - 5*g - 68. Suppose 12*v + 2073 = 2889. Calculate the remainder when v is divided by m.
20
Suppose -d + 31*u = 30*u - 5, 3*d - 40 = -2*u. Let o(q) = -q**3 + 7*q**2 - 5*q - 1. Let g be o(4). Let r = g - d. What is the remainder when r is divided by 9?
8
Suppose 3775 = -27*o + 16770 + 57718. Calculate the remainder when o is divided by 20.
19
Suppose 4*n - 420 = -3*m - m, 2*n - 2 = 0. Let r be (2/(-4))/(m/(-16) - -7). Calculate the remainder when (-264)/(-18)*(r - -4) is divided by 9.
8
Calculate the remainder when (-1507)/(-685) - (-728)/10 is divided by 70.
5
Calculate the remainder when 236 is divided by 0 - (-13 + -28 + -10).
32
Let c be (-1 - (-10)/14) + (-2460)/(-35). Suppose 2*u + 5*w = -3*u + c, -32 = -2*u - 4*w. What is the remainder when 32 is divided by u?
8
Suppose -4*o - 6 = 2*s, 4*s + 2*o = 7*o + 27. Suppose -s*v + 12*v - 72 = 0. Suppose a + 4*a = 10. What is the remainder when v is divided by a?
0
Let d be (3/(-2) + -2)*-8. Let i be ((-7)/(d/(-48)))/((-8)/(-68)). Suppose 3*s - i = 4*b, 3*b + 1 = -8. Calculate the remainder when 58 is divided by s.
28
Let y = -20 - -25. Let j be 4/(-24)*y*-6. Suppose 0 = j*g + 25, -z - 5*g + 6 - 25 = 0. What is the remainder when 8 is divided by z?
2
Let m = -47 - -116. Suppose 352 = -18172*z + 18216*z. Calculate the remainder when m is divided by z.
5
Let b(a) = -a**3 + 6*a**2 + a + 6. Let q be b(6). Suppose -q*o = 25 - 193. What is the remainder when 69 is divided by o?
13
Let w(d) = -d**3 + 37*d**2 - 4*d - 4691. Suppose 396 - 39 = 3*x. Calculate the remainder when w(31) is divided by x.
118
Calculate the remainder when 680 is divided by (-15440)/(-90) - (0 - 8/18).
164
Suppose -b = -3*h + 626 - 83, -3*b = 5*h + 1671. Let g = 574 + b. What is the remainder when 38 is divided by g?
16
Let b(r) = r**3 + r**2 + r - 2. Let g be b(2). Suppose 0 = -g*u + 17*u. Suppose u*x + 10 = x. What is the remainder when 38 is divided by x?
8
Suppose 0 = 3*r + 2*r + 45. Let m be 7/(4 - (-33)/r). Let v = m + -14. What is the remainder when 11 is divided by v?
4
Let h be 7 + ((-20)/10 - -37). Suppose -2132 = -h*d + d. Calculate the remainder when d is divided by 17.
1
Let w(s) = s**3 + 8*s**2 - s - 5. Let k be w(-8). Suppose 4*p - 4 - 4 = 5*c, 5*c + 29 = -k*p. What is the remainder when p/(-1) - (-101 - 6) is divided by 16?
14
Suppose 0 = 8*s - 61 + 21. Suppose s*h + 34 - 79 = 0. What is the remainder when 18 is divided by h?
0
Let g be 185/(-75)*-3 + (-2)/5. Suppose g*r - 36 + 8 = 0. Calculate the remainder when r*15/(-40)*(-788)/6 is divided by 50.
47
Let q(y) = y**3 + 14*y**2 + 9*y - 10. Let p = 6308 + -6305. Calculate the remainder when q(-12) is divided by p.
2
Suppose -2*d - 39 = -5*d. Let l be (9/(-18))/(1/2). Calculate the remainder when (1/4 + (-2682)/72)*l is divided by d.
11
Let j(o) = o**3 - 15*o**2 + 7*o + 1019. What is the remainder when j(0) is divided by 147?
137
Suppose 0*c + 2*x = -4*c + 60, -x - 38 = -2*c. Suppose -2*g + 3270 = 8*u, -1068 = u - 2*g - 1452. What is the remainder when u is divided by c?
15
Calculate the remainder when 2054 is divided by 48/(-10)*595/(-68).
38
Suppose -2*y = -4*k - 196, 7*y - 5*y - 52 = k. Calculate the remainder when (-36)/(-4) - 4 - (k + 1) is divided by 17.
1
Suppose 14 - 11 = g. Let m be 27/243 - 1/9. Suppose m = -4*s + 4*h + 32, -2*s + g*h = -0*h - 14. What is the remainder when 45 is divided by s?
5
Let b(i) = i**3 - 5*i**2 - 14*i + 53. Calculate the remainder when 6115 is divided by b(8).
130
What is the remainder when 2384 is divided by (-1692)/(-558) - 5/155?
2
Let i(w) = 16*w + 19. Let h(r) = 33*r + 39. Let j(a) = -6*h(a) + 11*i(a). Let n be j(-11). Let v = -154 + n. What is the remainder when v is divided by 13?
11
Let t(w) = w - 296. Let p be t(-14). Let k = 424 + p. Calculate the remainder when k is divided by 9.
6
Calculate the remainder when -16*(-7)/(-42)*(-90)/4 is divided by 10 - (-8 + 10) - 1.
4
Let a(x) = 2*x**2 + 84*x - 74. Let d(p) = -12*p + 5. Let r be d(4). Suppose -64 = -5*o + 41. Calculate the remainder when o is divided by a(r).
9
Suppose x - 3*x = 2*r + 12, 4*r + 2*x + 18 = 0. Suppose -m = -5*b + 17, -2*m - 11*b + 22 = -7*b. Calculate the remainder when m is divided by -1 - 3/3*r.
1
Let r = -47 + 48. Suppose 3*t = 7 - r. Suppose 44 = 4*b + 5*a, t*b + 2*a - 28 = -2*a. Calculate the remainder when 40 is divided by b.
4
Let y = 34 - 18. What is the remainder when (9814/35 - -6) + 13/(325/(-10)) is divided by y?
14
Suppose -40*s + 23*s - 1479 + 4879 = 0. Calculate the remainder when 611 is divided by s.
1