40/77 - y/11) + k is divided by 23?
21
Suppose -4*d = 3*k - 21, 3*d = 2*k - 2*d + 9. Suppose 0 = -3*f + a + 38, -3*a + k = -f + 5. Calculate the remainder when f is divided by 3.
2
Let w = -5542 + 5685. What is the remainder when w is divided by 9?
8
Let p = -31 - -69. Suppose -5*w + 149 = 39. Suppose -2*n + w = 2*y, 2*n - 5*y = -y - 2. Calculate the remainder when p is divided by n.
3
Let a(v) = 0*v - 3*v - 2*v + 10 + v**2 + 3*v. What is the remainder when a(7) is divided by 16 - (2 + (-17 - -8))?
22
Suppose -69*n + 3209 + 32911 = 4587. What is the remainder when n is divided by 46?
43
Suppose 2*v - 218 = -2*i + 640, 4*i - 1734 = 2*v. What is the remainder when i is divided by 413?
19
Let w = 154 + -162. Let s(n) = n + 37. What is the remainder when 77 is divided by s(w)?
19
Let w(x) = -11*x + 150. Let f be w(0). Let k = 238 - f. What is the remainder when k is divided by 30?
28
Calculate the remainder when ((-665)/(-28))/((-21)/(-504)) is divided by 67.
34
Let k(t) = -9*t + 33. Let c(d) = 1. Let m(v) = c(v) - k(v). Calculate the remainder when 348 is divided by m(5).
10
Let h(a) be the first derivative of 10*a**3 + 1/2*a**4 + 23/2*a**2 + 31 - 3*a. What is the remainder when h(-14) is divided by 10?
7
Suppose -y + 1511 = 3*n - 172, 2822 = 5*n - 4*y. What is the remainder when n is divided by 118?
90
Calculate the remainder when (-2565)/30*(48/(-9))/4 is divided by 2.
0
Let m(v) be the third derivative of -v**5/60 + v**4/12 + 3*v**3 - v**2. Calculate the remainder when 89 is divided by m(4).
9
Let u(c) = c**3 + 16*c**2 + 27*c + 49. What is the remainder when 448 is divided by u(-14)?
7
Suppose -240 - 240 = -5*n. Let b = n - 86. Suppose -418 = -9*y - b*y. Calculate the remainder when y is divided by 7.
1
Suppose -q - 393 = -465. Let f(v) = -v**2 + 28*v - 141. Calculate the remainder when q is divided by f(8).
15
Suppose -8*j - 11*j - 6*j + 24600 = 0. Calculate the remainder when j is divided by 80.
24
What is the remainder when 4/(-8)*(-4)/13 + 7328/26 is divided by 116?
50
Suppose 0 = -4*b + 5*l + 1515, -21*b + 2*l + 758 = -19*b. Calculate the remainder when b is divided by 187.
6
Let n = 13 - 13. Suppose 4*t + 2 - 14 = n, -2*q = -2*t - 38. Let k(x) = 110*x**3 - 2*x**2 + 5*x - 4. Calculate the remainder when k(1) is divided by q.
21
Let y(u) be the third derivative of -u**5/60 + 13*u**4/24 + 2*u**3/3 - 5*u**2. Let i = 6 - -2. Calculate the remainder when y(i) is divided by 23.
21
Let x(t) = -10*t - 2. Suppose 1988 = 6*s - 262. Suppose -2*n - 3*v = -204, -158 = -5*n + 4*v + s. Calculate the remainder when n is divided by x(-2).
15
Let c be ((-60)/(-18))/(5/6). Suppose -23 = -2*f - c*m + 41, -3 = -m. What is the remainder when 154 is divided by f?
24
Suppose -87411 - 17987 = -260*d - 20378. What is the remainder when d is divided by 4?
3
Suppose -3*u - 4*r = -705, 2*u - u + r = 235. Let b = 193798 + -193781. What is the remainder when u is divided by b?
14
Suppose -5*z = -2*r + 115, 18*z - 13*z + 255 = 4*r. Suppose 0 = 4*k - 4*q - 200, -k - q - 3*q + r = 0. What is the remainder when k is divided by 7?
5
Suppose 0 = -14*q - 444 + 1172. Suppose -m + q = 7. What is the remainder when m is divided by 18?
9
Let y(s) = -9*s - 42. Let j be y(-4). What is the remainder when 11 is divided by (9/j)/(21/(-70))?
1
Suppose -4*k + 3*o = -275, 4*k - 164 = -4*o + 104. What is the remainder when k is divided by 36?
32
Let w = -9 - -21. Let s(u) = -u**3 - 7*u**2 - 3*u - 16. Suppose -24*g + 35 = -29*g. Calculate the remainder when w is divided by s(g).
2
Suppose 0 = -d - 18 - 17. Suppose a + 11*a - 1423 + 283 = 0. Let b = d + a. What is the remainder when b is divided by 22?
16
What is the remainder when 10*25/(-3500) - 10039/(-14) is divided by 121?
112
Let l(g) = 31*g + 3. Let s be l(1). Suppose 14*j - 50 - s = 0. Let h = j - -8. What is the remainder when 37 is divided by h?
9
Suppose 16412 = 7*a + 37*a. Let m = -354 + a. What is the remainder when m is divided by (-140)/(-18) - (-2)/9?
3
Let a = 141 + -48. Suppose 0 = -h - 60 + a. Calculate the remainder when 139 is divided by h.
7
Suppose -f - 2*f - 555 = 2*s, -2*f + 839 = -3*s. Let i = s - -296. What is the remainder when 113 is divided by i?
11
Let u = -28 + 30. Suppose 9*n - 53 = 4*n - u*d, 2*d = -4*n + 42. Suppose 0 = -0*g + g - 4*i - 26, -5*i = 4*g - 62. What is the remainder when g is divided by n?
7
Suppose 121*u + 4 = 122*u. Suppose 10 = u*s - 246. What is the remainder when s is divided by 12?
4
Let z(i) = -8*i + 284. Let s(x) = x**2 - 22*x - 17. Let t be s(24). Calculate the remainder when 95 is divided by z(t).
23
Calculate the remainder when 536 is divided by 8*(-15)/280 + (-416)/(-7).
5
Suppose 26 - 2 = p + 3*n, 30 = p + n. Suppose -p*y + 30*y + 24 = 0. Calculate the remainder when 94 is divided by y.
6
Let z = -823 + 821. Calculate the remainder when 1 - z*(-3)/2 - -397 is divided by 18.
17
Let a = 6116 + -5605. What is the remainder when a is divided by 74?
67
Suppose -u = -15*q + 20*q - 77, 63 = 2*q + 5*u. What is the remainder when 25129 is divided by q?
13
Suppose 4 = -g - 1. Let o = g - -7. Suppose -z + 2*n - o + 14 = 0, 3*n = -2*z - 11. What is the remainder when 3 is divided by z?
1
Let h(a) = -a**3 + 18*a**2 + 15*a - 35. Let g be h(15). Suppose g = 24*q - 5423. Calculate the remainder when q is divided by 68.
58
Suppose 5*r - 12 = 3*x - x, 0 = -r - x + 1. Suppose 0 = -r*m - 8, b - 2*b + 5*m = -48. Calculate the remainder when b is divided by 7.
0
Let o(t) = -t**3 + 17*t**2 - t + 13. Let d(v) = 4*v - 7. Let k be d(6). Let z be o(k). Calculate the remainder when ((-408)/(-36))/(z/(-6)) is divided by 6.
5
Suppose -4*p + 180 = -3*g, 0 = -3*p - 4*g + 90 + 20. Let v(q) = 2*q**2 + 2*q - 3. What is the remainder when p is divided by v(-3)?
6
Suppose -17 = -5*z + 13. Suppose 5*s + z*b - 2*b - 9 = 0, -3*b + 8 = 5*s. What is the remainder when 42/(-189) - 40/(-18) is divided by s?
0
Calculate the remainder when (140/(-30))/(3364/(-1680) - -2) is divided by 27.
16
Let q(v) = -17*v + 68. Let z be q(4). Suppose 4*h - 9*h + 3*s + 2025 = z, -3*s = 0. What is the remainder when h is divided by 68?
65
Let d(f) = 5*f + 13. Let j be d(14). Suppose 4*u - j = -3*v, -3*v = u - 100 + 32. Calculate the remainder when v is divided by 2*(-1 + -7)/(-4).
1
Suppose -4*d + d = -1014. Suppose 4426 - 1841 = 11*x. Suppose 4*u - d = -5*g, 177 + x = 5*u + g. What is the remainder when u is divided by 28?
26
Let v(t) = 88*t + 582. What is the remainder when 469 is divided by v(-5)?
43
Suppose -z = -8*z + 133. Let h = -127 - -139. What is the remainder when z is divided by h?
7
Let s(i) = -90*i - 78. Calculate the remainder when 1528 is divided by s(-2).
100
Suppose -o + 0*o + 3*d + 2 = 0, 5*o - 2*d + 3 = 0. Let j = 5 + o. Suppose -4*l - 7*u + 38 = 0, -4 = -6*u + 4*u. What is the remainder when l is divided by j?
2
Let k(y) = 112*y**2 - 8*y - 71. Calculate the remainder when k(-6) is divided by 59.
56
Let q(g) = -g**3 + 18*g**2 - 18*g + 32. Let a = 22 - 18. Suppose a*f = 3*u + 59, 0 = 4*f - 2*u - 41 - 21. What is the remainder when 40 is divided by q(f)?
10
Let z be 21*(2/6 + 0). Let i(x) = -x**2 + 10*x - 8. Let b = -11818 + 11856. What is the remainder when b is divided by i(z)?
12
Let g = 1053 + -551. Suppose -452 = 5*p - g. Calculate the remainder when (-1)/1 + 72 - 2 is divided by p.
9
Let x(n) = -47*n + 2 - 140 + 6*n**3 - 5*n**2 + 312. What is the remainder when x(4) is divided by 49?
45
Let y = 6042 + -6006. Calculate the remainder when 213 is divided by y.
33
Suppose -599 - 579 = -35*j + 1202. What is the remainder when 198 is divided by j?
62
Suppose 0 = -5*y + 25, 2*y - 1639 = -4*a - y. Calculate the remainder when 1624 is divided by a.
0
Let h = -4472 - -4535. What is the remainder when 104 is divided by h?
41
Calculate the remainder when (1292 - 1292) + (0 + 1 - -791) is divided by 156.
12
Suppose 5*a - 880 = 380. Suppose -11*r + a = -2*r. Suppose -72 = -5*u + 183. What is the remainder when u is divided by r?
23
Let c(d) = -3*d**3 - 6*d**2 + 2*d + 17. Let w(l) = -5*l + 9. What is the remainder when c(-4) is divided by w(0)?
6
Let n(o) = o**2 - 10*o - 40. Let d be n(-8). Let v = 154 + d. What is the remainder when v is divided by 66?
60
Suppose -5*w = g + 1, 50 = -16*g + 14*g + 2*w. Let a = -21 + 85. What is