 192 = -49, -2*q + 66 = -v. Suppose 0 = -5*a + z + 177, a + 5*z - q = 3*z. Calculate the remainder when a is divided by 19.
16
Let y(j) = j**2 - 3*j + 2. Suppose 3*i - 3*c - 15 = 3, 0 = 3*i - 4*c - 21. Suppose -39*q = -38*q - 3. Calculate the remainder when q is divided by y(i).
1
Let i = 20 + -10. Let g(j) = 106*j**3 - j**2 + 1. Let s be g(1). Let x = -67 + s. Calculate the remainder when x is divided by i.
9
Suppose 15 = 3*u - 2*p, -3*u - 4*p - 6 = p. Suppose 16 = u*n + f, -3*f = 2*n - 4*n + 18. Calculate the remainder when 27 is divided by n.
3
Suppose 3*y - 6*y + 30 = 0. Let x = 9 + y. What is the remainder when x is divided by (3 + 3 - 20/10)*28/16?
5
Let p(h) = h**2 - 4 + 4 + 9*h + 7 - 4*h. Suppose -60 = 6*u - 18. What is the remainder when p(u) is divided by 11?
10
What is the remainder when -8*(-70)/4 - (-100 - -100) is divided by 26?
10
Suppose -3*i = -3*s + 21, -6*s + 10*s - i - 37 = 0. Suppose 0 = -0*l - 5*l - 60. Let a = l - -29. Calculate the remainder when a is divided by s.
7
Let d be ((-20)/6)/((-2)/3). Suppose 26 = -d*j - 14. Let i = 39 + j. What is the remainder when 59 is divided by i?
28
Suppose 6*c = 2*c + 20. Suppose -16 - 35 = -3*x. Calculate the remainder when x is divided by c.
2
Suppose -4*z + z + 2*b + 368 = 0, 4*z = -5*b + 529. What is the remainder when z is divided by 40?
6
Let i(w) be the second derivative of w**4/12 + 5*w**3/6 + 9*w**2/2 - 14*w. Calculate the remainder when 6 is divided by i(-3).
0
Suppose -t = 1 - 11. Suppose 4*i = -r + 700, -5*i - 5*r + 158 = -717. Suppose 176*u - 16 = i*u. Calculate the remainder when u is divided by t.
6
Suppose -403 = 4*w - 1579. Calculate the remainder when w is divided by 76.
66
Let v be (8 + -7)/((-2 + 5)/(-159)). Let j = 59 + v. Calculate the remainder when j is divided by 4.
2
Let f(a) = 3*a**2 - 8*a + 32. What is the remainder when f(-10) is divided by 26?
22
Let z(x) be the third derivative of -x**5/60 - 3*x**4/4 + 2*x**3 + 6*x**2 + 3*x. Calculate the remainder when z(-10) is divided by 19.
16
Suppose -3*w = 2*u + 4 - 3, -2*w + 4 = -u. What is the remainder when -3*(-82)/12*6/3 is divided by (2/1 - -8) + w?
8
Suppose 23*d = 27*d - 12. Calculate the remainder when d*((-50)/(-3) - (-12 - -15)) is divided by 21.
20
Suppose 8 = f + 3*d - 4, -2*f - 3*d = -24. Let i be -1*2*4/(-4). Suppose o = i*j + j + 36, -5*o - 3*j + 234 = 0. Calculate the remainder when o is divided by f.
9
Let a(s) = -2*s + 37. Calculate the remainder when 87 is divided by a(-4).
42
Let n(h) = 1439*h**3 + h**2 + 1. Calculate the remainder when n(1) is divided by 76.
73
Suppose 2*z + 8*z = 1170. Suppose 0*l + 2*b + 116 = 4*l, 3*b + 114 = 4*l. Calculate the remainder when z is divided by l.
27
Suppose -2*z - 548 = -2*p, 82*z - 86*z = 2*p - 524. What is the remainder when p is divided by 21?
18
Suppose -6*p - 357 = -489. Calculate the remainder when 120 is divided by p.
10
Suppose 16*n - 58 = 278. Calculate the remainder when 179 is divided by n.
11
Suppose 3*x = -52 - 269. Let o = -42 - x. What is the remainder when o is divided by (-68)/(-10)*40/16?
14
Suppose 0 = 7*l - 8*l + 40. Let p = 104 - 90. What is the remainder when l is divided by p?
12
Suppose 20*d = 771 + 89. Calculate the remainder when d is divided by 28.
15
Suppose 0 = 5*a + a + 132. Let f = a + 35. Calculate the remainder when 49 is divided by f.
10
Calculate the remainder when 223 is divided by 84/(-4)*3/45*-5.
6
Suppose -5*f + 3*f + 12 = 0. Suppose f*q = 10*q - 120. What is the remainder when q is divided by 11?
8
Let g = -83 + 95. What is the remainder when 36 is divided by (-2)/8 - (-159)/g?
10
Let t be 161/3 - 1/(-3). Let b = -267 + 270. Suppose -t = -0*j - b*j. Calculate the remainder when 52 is divided by j.
16
Let x be 9/6*2 + -3. Suppose x = -3*v - 3 + 12. What is the remainder when -42*1/(-9)*v is divided by 4?
2
Suppose -22*m = -14*m - 312. What is the remainder when 104 is divided by m?
26
Suppose -2*n = 5*b - 444, 8*b - 7*b - n - 93 = 0. Calculate the remainder when b is divided by 37.
16
Let i(j) be the third derivative of 1/6*j**3 + 1/60*j**5 + 73/120*j**6 - 3*j**2 + 0 - 1/12*j**4 + 0*j. What is the remainder when i(1) is divided by 19?
16
Suppose 1 = m + r, -8 - 5 = -4*m - r. Suppose m*q - 270 = -q. What is the remainder when q is divided by (-1 - -3) + (-3 - -12) + 8?
16
Suppose 4*u - 205 + 113 = 0. Calculate the remainder when 43 is divided by u.
20
Let p(q) = q**2 + 2*q - 1. Let r be p(-5). Let w = r + -11. What is the remainder when 59 is divided by (-9)/w*1 + 18?
14
Suppose 0 = 27*o - 331 - 20. Let j(m) = m - 11. Let n be j(8). What is the remainder when o is divided by ((-1)/n)/1*15?
3
Suppose 0 = -5*k + 5, 0*a + k - 117 = -4*a. Calculate the remainder when 432 is divided by a.
26
Let c = -4 + 15. Let s = c - 8. Suppose -4 = -s*j + 11. What is the remainder when 8 is divided by j?
3
Let x = 45 + -22. Suppose 342 = 12*a + 102. Suppose -o = -a - x. What is the remainder when o is divided by 15?
13
Let m = -8411 + 8427. Let j = -33 + 56. Calculate the remainder when j is divided by m.
7
Suppose -4*x + 2*x + 5*v = -126, 0 = -x - 2*v + 63. Calculate the remainder when 691 is divided by x.
61
Let w = -47 + 8. Let n = -18 - w. Suppose -6*s + 117 = -3*s. What is the remainder when s is divided by n?
18
Let j = 1703 + -1622. What is the remainder when 242 is divided by j?
80
Let o = -119 - -175. What is the remainder when o is divided by 20?
16
Let j be (-24)/(-36) + (-1)/(-3). Let x(p) = 3*p**2 + 4*p - 1. What is the remainder when x(-4) is divided by (j + (-22)/6)*-6?
15
Suppose -j - 2 = -11. Suppose -13*t - j = -16*t. Suppose 8*b - t*b - 4*o = 24, o - 3 = -b. Calculate the remainder when 8 is divided by b.
0
Suppose 700 = -409*h + 413*h. What is the remainder when h is divided by 48?
31
Let i = -27 - -148. What is the remainder when i is divided by 62?
59
Let i(d) = -d**2 - 1. Let p(g) = 6*g**2 + 3*g + 6. Let w(s) = 9*i(s) + p(s). Let f be w(3). Let h = 37 + f. What is the remainder when 45 is divided by h?
13
Suppose 0 = -3*r + 333 + 651. What is the remainder when r/(-10)*(-20)/8 is divided by 28?
26
Let o = 90 + -59. Let d be (-4)/10*75/(-30). Suppose 48 - d = 2*z + 5*s, -83 = -5*z - s. Calculate the remainder when o is divided by z.
15
What is the remainder when (-4)/10 + (1904/35 - -6) is divided by 16?
12
Calculate the remainder when (-3)/(-2)*55760/246 is divided by 11.
10
Let p(i) = 16 - 10 - 27 - 6*i - 3*i. Calculate the remainder when p(-4) is divided by 11.
4
Let n(x) = 20*x**3 - x**2 + 2*x - 1. Let z(u) = 2*u**2 + 7*u + 34. What is the remainder when z(-4) is divided by n(1)?
18
Suppose 14 = -2*c + 2*v, -c + 5*v - 3 = 4. Let u = 30 + c. Calculate the remainder when 43 is divided by u.
20
Let x = -5 + 27. Suppose 704 = -2*w + 13*w. Calculate the remainder when w is divided by x.
20
Let z(b) = -b**3 + 28 - 13*b**2 - 5 + 22*b - 15*b - 21*b. Calculate the remainder when z(-12) is divided by 12.
11
Let g(x) = -x**3 - x**2 - x - 1. Let u = 3 - 5. Calculate the remainder when 14 is divided by g(u).
4
Let k = -12 + 20. Let p(w) = -4*w + 2. Let u be p(k). Calculate the remainder when (u/(-4))/3*8 is divided by 7.
6
Suppose -6*m + 5 = -m, 0 = -2*x - m + 65. Calculate the remainder when 89 is divided by x.
25
Let i = -44 - -67. Suppose -u - i = -f + 4*u, 0 = -u - 5. What is the remainder when (-15)/10 - 89/f is divided by 11?
10
Suppose y - 8 = -5*x, 2*x = -y + 3*x + 8. Let g(o) = o**2 - 7*o + 29. Calculate the remainder when 183 is divided by g(y).
35
Suppose 3*v + 15 = -2*c, 0 = 4*v + v + 25. Let w be 1 + c + -1 + 4. Calculate the remainder when 7 is divided by (-117)/(-18) - 6/w.
2
Let b be ((-12)/(-7))/((-10)/70). What is the remainder when (-836)/(-12) + 8/b is divided by 18?
15
Suppose -3*x + 133 = -5*f - 4*x, -5*f - 3*x - 129 = 0. Let v = f - -30. Calculate the remainder when 8 is divided by v.
2
Let m(p) = p**3 + 2*p**2 - 4*p + 3. Let c be m(2). Let r = c + 20. Calculate the remainder when 88 is divided by r.
26
Suppose 223 = 5*h + 4*r - 20, 41 = h - 3*r. Let m = h - 32. Calculate the remainder when 59 is divided by m.
14
Suppose 4*f + 0*r = -5*r - 9, -3*f - 4 = r. Let i = f + 3. Suppose -6*t = 1117 - 1153. Calculate the remainder when t is divided by i.
0
Let n(v) = -3*v**2 - 106*v + 57. Let y be n(-36). Le