when s is divided by 22?
20
Let p(c) = -5*c + 217. Let o(t) = -1 + 1 + t**2 - 5. What is the remainder when p(28) is divided by o(5)?
17
Suppose -2*v + 86 + 22 = -5*o, -3*v - 4*o + 139 = 0. Calculate the remainder when 146 is divided by v.
48
Let r = 1564 - 1509. Calculate the remainder when 60 is divided by r.
5
Let f = 240 + -158. Calculate the remainder when 235 is divided by f.
71
Suppose -5*y = g - 3*g + 11, -2*g = -y - 7. Let k = 5 + y. Suppose -3*j - c = -11, 31 = k*j - j + 5*c. Calculate the remainder when 5 is divided by j.
1
Let x(m) = 10*m**2 - 14*m - 14*m**2 + 5*m**2 - 4 + 3. Let b(i) = i**3 + 8*i**2 + 5*i + 1. Let k be b(-7). Calculate the remainder when x(k) is divided by 8.
6
Let c(b) = -b**3 + 5*b**2. Let x be (-24)/(-9)*(-6)/(-4). Suppose -32*g + 205 + 1779 = 0. Calculate the remainder when g is divided by c(x).
14
Suppose 11*j = 31 + 13. Suppose y = 4*v - y - 46, 0 = -j*v + y + 41. What is the remainder when v is divided by 6?
3
Let y(b) = 15*b**2 - 4*b + 4. Let j(p) = -p**3 + 7*p**2 - 5*p - 6. What is the remainder when y(2) is divided by j(5)?
18
Suppose 10*h = 19*h + 342. Let o = h - -52. Calculate the remainder when 41 is divided by o.
13
Suppose -10*g - 10 + 110 = 0. Suppose -60 - 20 = -g*h. What is the remainder when 30 is divided by h?
6
Calculate the remainder when ((-6)/12)/(((-18)/(-788))/(-9)) is divided by 17.
10
Let o(t) be the first derivative of 2*t**3/3 - 3*t**2 - 29*t + 3. Calculate the remainder when o(8) is divided by 27.
24
Let w(m) = m**3 - m**2 - m - 1. Let d(f) = f**3 - 12*f**2 - 17*f - 11. Let g(t) = -d(t) + 2*w(t). What is the remainder when 117 is divided by g(-8)?
15
Suppose 9 = -3*s, -5*v + 476 = 5*s + 11. Calculate the remainder when v is divided by 7.
5
Suppose 0 = -8*g + 3*g + 25. Suppose -2*r + 4 + 24 = 4*b, -20 = -4*b. Suppose r*x = -y + 6, x - 16 = -2*y + 17. Calculate the remainder when y is divided by g.
3
Let u(l) = -l**3 - 6*l**2 + 4*l - 10. Let w = -4 + 8. Suppose 5*g - 3*n - 207 = -5*n, w*g + 2*n - 166 = 0. What is the remainder when g is divided by u(-7)?
8
Let a(p) = p**3 - 8*p**2 + 10*p - 9. Let g = -8 + 15. Calculate the remainder when a(g) is divided by 7 - (0/(-4) + 0).
5
Let o(c) = -c**3 - 4*c**2 + 7*c + 3. Suppose -103 = 6*n - 877. What is the remainder when n is divided by o(-6)?
30
Suppose 4*l + 2*u = 1086, 0 = -32*l + 29*l + 4*u + 820. Calculate the remainder when l is divided by 46.
42
Let u = -301 - -463. What is the remainder when u is divided by 41?
39
Let x(w) = 25*w**2 - 8*w + 10. Let y be x(4). Calculate the remainder when 3/(-12) + y/8 is divided by 17.
13
Let x = -104 - -189. Suppose 0*w - 5*w = -x. Calculate the remainder when 33 is divided by w.
16
Calculate the remainder when 628/1 + (-4)/(20/5) is divided by 45.
42
Suppose 0*d = -3*d + 21. Suppose 2*u - d = 67. Suppose -13*s = -714 + 584. Calculate the remainder when u is divided by s.
7
Suppose 4*x - 2*v - 74 = 0, -4*x + 67 = -0*v + 5*v. Suppose q + 0*q - x = s, 5*s = -10. Calculate the remainder when (-2)/5 + 227/5 is divided by q.
13
Calculate the remainder when (((-5)/3)/(-5))/(1/258) is divided by 18.
14
Let u(b) = b**3 + 12*b**2 + b - 12. Calculate the remainder when u(-9) is divided by 69.
15
Let k(o) = -9*o + 14. Let i be k(-8). Suppose 5*p + 2*l = 64 + 113, 2*p - i = 3*l. What is the remainder when p is divided by 20?
17
Let o(f) = 5*f + 434. Calculate the remainder when o(-25) is divided by 31.
30
Let y(u) = 2*u - 4. Let m = -13 - -20. What is the remainder when m is divided by y(4)?
3
Suppose -1865 = -3*u - 2*u. Let b be -1 + (-1)/((-2)/1064). Let l = b - u. Calculate the remainder when l is divided by 32.
30
Suppose -5*j + 4 = -3*h, 0 = h + 5*j + 8. What is the remainder when 4 is divided by ((-2)/h)/((-38)/(-57))?
0
Let w = -40 + 65. Suppose -w = -3*a + 8. Calculate the remainder when 40 is divided by a.
7
Suppose 4*y = -2*v + 24, 2*v - y = 2*y + 17. Suppose -3*s = -s - v. Suppose -4*u = -2*g - 60, g - s*g - 3 = u. What is the remainder when u is divided by 4?
1
Suppose -5*d + 3*y = -6*d + 61, 5*d - 3*y = 305. Calculate the remainder when d is divided by 21.
19
Let f(o) = o**3 + 11*o**2 - 6*o - 5. What is the remainder when f(-11) is divided by 16?
13
Suppose -198 + 662 = 3*l + h, 0 = 5*l - 3*h - 764. What is the remainder when l is divided by 39?
37
Let z(j) = -2*j + 53. Let f(r) = r**3 - 2*r**2 - 4*r + 2. Let o be f(4). Suppose 2*h + 64 = 4*h. Calculate the remainder when h is divided by z(o).
15
Let m = 581 - 555. What is the remainder when m is divided by 4?
2
Calculate the remainder when 844 is divided by (-18966)/(-203) + 12/21.
92
Let g be (-60)/(-18) + (-2)/(-3). Let y = g + 792. Suppose -5*o + y = 166. What is the remainder when o is divided by 32?
30
Let i be -65 - 2 - (3 - 2). Let z = 122 + i. Calculate the remainder when z is divided by 15/10*(93/9 + -1).
12
Let z(j) = 9*j**2 - 9*j + 1. Calculate the remainder when z(4) is divided by 0 - (-8 + 3 - -1 - 24).
25
Let y(v) = -28*v**3 - v - 1. Suppose -3*a = -2*i + 9, 4*i - a = a + 22. What is the remainder when y(-1) is divided by i?
4
Suppose -5*x = 3*i - 126, -2*i - 132 = -5*x - 3*i. Let a = -23 + x. What is the remainder when 11 is divided by a?
3
Let f(d) = d**2 + 17*d + 21. Let v be f(-16). Suppose 0*s + 5*y + 213 = 2*s, 585 = v*s + 5*y. Calculate the remainder when 32/(-48)*s/(-4) is divided by 5.
4
Let k(s) = s**2 - 19*s + 22. What is the remainder when 106 is divided by k(19)?
18
Suppose -91*u + 3*u + 1612 + 60 = 0. Let t(v) = -36*v - 1. What is the remainder when t(-1) is divided by u?
16
Suppose 4*b + 4*z = z + 102, -3*b = 3*z - 75. What is the remainder when 92 is divided by b?
11
Suppose 4*g + 0*i + i - 67 = 0, 0 = -g - 5*i + 31. Let w be -2 - 5/5*-4. Suppose -w*u = -6*u + g. What is the remainder when 7 is divided by u?
3
Let u = -3 + 84. Calculate the remainder when 647 is divided by u.
80
Let w(y) = 8*y**2 - 291*y - 180. What is the remainder when 262/8 + 2/8 is divided by w(37)?
3
Let j(v) = -v**3 + 4*v**2 + 6*v - 1. Suppose -243*l + 56 = -239*l. Calculate the remainder when l is divided by j(5).
2
Let m be (8/18)/(14/63). Suppose 2*u + v = 8, m*u = 4*v - 3*v + 12. Let t = 33 + -14. What is the remainder when t is divided by u?
4
Suppose -3*w + 165 = 2*w + 5*c, -4*c + 12 = 0. Let m(x) = 7*x - x**3 + 5 + 5*x**2 + 0*x**3 - 2*x**2. Calculate the remainder when m(-4) is divided by w.
29
Let w(u) = -u**2 - 3*u + 4. Let o be w(2). Let h(l) = 2*l**3 + 12*l**2 + 11. What is the remainder when 20 is divided by h(o)?
9
Suppose 2*s - 342 = -4*g, 2*g - 3*s - 5*s = 126. What is the remainder when g is divided by 10?
3
Let f(h) = 6*h - 14. Let t be (-1)/(((60/32)/(-5))/3). Calculate the remainder when f(t) is divided by 18.
16
Suppose -9*m + 28 + 35 = 0. Let q = 21 + m. What is the remainder when 110 is divided by q?
26
Calculate the remainder when -5*15/25*-157 is divided by 120.
111
Calculate the remainder when 129 is divided by ((-52)/8 - -1)*-2.
8
Let l be (-69)/(-21) + 2/(-7). Suppose -l*p = p - 48. Suppose -p = 4*o, -w - 3*o - 2 + 0 = 0. What is the remainder when w is divided by 4?
3
Suppose 5 + 38 = 2*w - 3*f, f = -5. Let z = 103 + -64. Calculate the remainder when z is divided by w.
11
Suppose 35 = -2*b + 185. Suppose 3*q + 0*v - b = 3*v, -5*v = 4*q - 82. What is the remainder when q is divided by 5?
3
Suppose 8*k - 19 = -3. Suppose 5*n - 2*n + 153 = 3*f, 114 = k*f + 2*n. Calculate the remainder when f is divided by 17.
3
Let c(b) = 4*b**2 + 6*b + 6. Calculate the remainder when 92 is divided by c(-3).
20
What is the remainder when 84 is divided by ((-24)/(-9))/(8/132)?
40
Let n be (-5 + 4)/((-2)/(-4))*-2. Suppose 3*b + 4 = -3*g + 13, n*g - 32 = b. Calculate the remainder when (-2)/6 + (-76)/(-3) is divided by g.
4
Suppose t = -t - o + 96, 0 = 4*t + 4*o - 188. Suppose w - t = 2*z - 13, -3*w = -5*z - 111. What is the remainder when w is divided by 24?
18
Suppose -4*j - 5*c = -702, j + 3*c = 143 + 29. Suppose y = -4, z = 3*z - 3*y - j. What is the remainder when z is divided by 17?
15
Let i be (-3 - -11)/2 - (-6)/3. Suppose -i*o - 19 + 55 = 0. Calculate the remainder when o is divided by 2.
0
Let j(s) = s + 1. Let q be j(-4). Suppose 14*k - 88 = 206. Let w = k + q. What is the remainder when w is divided by 10?
8
Suppose 2*t = -