*n - 5. Calculate the remainder when 18 is divided by i(-1).
3
Suppose -5*s - 8 = 12. What is the remainder when 62 is divided by ((-32)/3)/(s/6)?
14
Suppose -2*k = -12 - 12. What is the remainder when 21 is divided by k?
9
Let h = -11 - -11. Suppose 5*t - 5*s - 101 + 21 = 0, h = 3*t + s - 32. What is the remainder when t is divided by 5?
2
Suppose -9*x + 16 = -5*x. Let s = -6 + 19. Suppose -x*a + 7 = -s. What is the remainder when 14 is divided by a?
4
Suppose 2*q + 3 = 5. Suppose 0 = -2*c - 0*c - 4. Let z = c + 3. Calculate the remainder when q is divided by z.
0
Suppose -4*r + r - 4*j + 88 = 0, 2*j - 26 = -r. Let f = 37 - 18. Calculate the remainder when r is divided by f.
17
Suppose 647 = 5*c + 257. Suppose l - 3*j + 104 = -3*l, 3*j + c = -3*l. Let k = -13 - l. Calculate the remainder when 38 is divided by k.
12
Let x = 3 - -1. Suppose -x*q = -48 - 144. Calculate the remainder when q is divided by 17.
14
Let z = 7 - 1. Let v = -67 + 82. Calculate the remainder when v is divided by z.
3
Let a be 5 + -1*1 - 1. Let r(v) = -v + 15. Let l be r(11). Suppose m - 3*o = a + l, -4*o = -4. Calculate the remainder when 19 is divided by m.
9
Suppose 0 = -3*o - 2*o. Let c = o + 2. What is the remainder when 24 is divided by ((-130)/(-20))/(c/4)?
11
Suppose 4*x = 107 + 145. Suppose -t = 4*u - x, 2*u - 3*t = 6*u - 61. Let h = -6 - -12. What is the remainder when u is divided by h?
4
Let n(p) = p - 2. Let v be n(3). Let c = 62 + -32. What is the remainder when 13 is divided by v/(2*3/c)?
3
Let j = 2 + -1. Let f(y) = 24*y. Calculate the remainder when f(j) is divided by 13.
11
Suppose 0 = -4*z + 3*w - 8*w + 1, 20 = 2*z - 4*w. Suppose -5*y - l - l = -60, -y = z*l - 12. What is the remainder when -5*(14 + 0)/(-2) is divided by y?
11
Let a(q) = q**3 - 5*q**2 - 13*q + 19. Calculate the remainder when a(10) is divided by 23.
21
Let v(l) = -l**2 + 9*l + 2. Let w = 14 - 2. Calculate the remainder when v(4) is divided by w.
10
Let s = 35 - 12. Let i = -296 + 364. Calculate the remainder when i is divided by s.
22
Suppose 3*o + 32 = -o. Let g = -5 - o. Suppose -4*j + 2*d + 34 = 0, 3*d = -4*j + 56 + g. Calculate the remainder when 32 is divided by j.
10
Let v(d) = 2*d - 6. Suppose -8 = -12*z + 8*z. What is the remainder when v(4) is divided by z?
0
Let c = 40 - 27. Let o = -22 + 46. What is the remainder when o is divided by c?
11
Calculate the remainder when 4/120*-4 + 668/60 is divided by 4.
3
Let o(v) = -v**2 + 10*v - 7. Let j be o(6). Suppose -6*p = -4*p - 48. Suppose 3*s = -2*i + j, s = 2*i - 3*s - p. Calculate the remainder when i is divided by 4.
2
Let z(a) = 38*a + 13. Let b(f) = -25*f - 9. Let l(u) = -7*b(u) - 5*z(u). Suppose 2*x + 1 = -3. What is the remainder when l(x) is divided by 10?
8
Let u(c) = 8*c + 2. Suppose 0 = -5*b - 2*r + 9, -2*r - 18 = -6*b + 2*b. Suppose b*z + 3 = 45. What is the remainder when u(3) is divided by z?
12
Let p(t) = t**2 - 2. Let q be p(-2). Suppose -g + q + 8 = 0. Suppose -2*b + 4*b - 58 = 0. Calculate the remainder when b is divided by g.
9
Let p = 24 - 9. Suppose -p*v = -10*v - 410. What is the remainder when v is divided by 21?
19
Suppose 3*a - 40 = -a. Let v = 30 + -12. Calculate the remainder when v is divided by a.
8
Suppose 0 = z + g + 2 - 11, 0 = z - 4*g + 6. Calculate the remainder when z is divided by 3.
0
Let b = -52 + 87. Calculate the remainder when b is divided by 18.
17
Let c be 2/(3 - 39/15). Let b = 7 + c. What is the remainder when (-103)/(-3) - (-1)/(-3) is divided by b?
10
Suppose -3*b + 18 = 5*d, 2*b - d - 1 = -2. Let s = b + 17. Suppose -3*y - y = -2*p - 134, -2*y + 66 = -2*p. Calculate the remainder when y is divided by s.
16
Let b be 76/(-18) - 2/(-9). Let g(f) = f**3 - 9*f**2 - 2*f + 2. Let u be g(4). Calculate the remainder when 32 is divided by b/(-16) + u/(-8).
10
Let x(a) = 2*a**3 - a**2 - 2*a - 1. Let d = 7 - 5. Let p be x(d). Suppose -3*t = -46 + p. Calculate the remainder when t is divided by 4.
1
Let w(a) = 3*a**3 + a**2 + 3*a - 3. Calculate the remainder when w(2) is divided by 11.
9
Let y(g) = 6*g**2 - 3*g - 11. Suppose -496 = -5*p - 131. Calculate the remainder when p is divided by y(-2).
16
Suppose 48 = -4*u + 5*n, -4*n + 2 = -u + 3*u. Let i(f) = f + 8. Calculate the remainder when 2 is divided by i(u).
0
Suppose -m - 116 = -3*m. Suppose 3*p - 100 = -2*p. What is the remainder when m is divided by p?
18
Let c(r) = -5*r - 3*r**2 - 2*r + 2*r**2. Calculate the remainder when (16/5)/(1/5) is divided by c(-6).
4
Let k be 2 - (4 + 16)/(-4). Suppose k*u + 36 = 85. Suppose 0 = -2*t + 8 - 2. Calculate the remainder when u is divided by t.
1
Let k be (-42)/8*16/4. Let b = -9 - k. What is the remainder when 35 is divided by b?
11
Suppose 221 = 6*t + 41. What is the remainder when 53 is divided by t?
23
Let t(m) = 4*m**2 - 7*m. What is the remainder when t(3) is divided by 9?
6
Let y(i) = 4*i + 2. Suppose 0 = 4*u - 8 - 4. What is the remainder when (-2)/7 + 191/7 is divided by y(u)?
13
Suppose -22*f + 5 = -21*f. What is the remainder when 19 is divided by f?
4
Let n(l) = l**3 + 4*l**2 - 2*l - 3. Let w be n(-4). Let h(p) = p**2 + 3*p - 2. Calculate the remainder when (-4)/(-20) + 24/w is divided by h(-4).
1
Suppose -4 = -2*a + t, 6 = -4*a - 4*t - 10. Calculate the remainder when (1 - a) + (3 - -32) is divided by 19.
17
Let h(y) = -y + 5. Let f be h(11). What is the remainder when 26 is divided by (2 - 2*f)/2?
5
Let s = -10 + 16. Let i(p) = -2 + p + 3 - s*p. What is the remainder when 32 is divided by i(-2)?
10
Suppose -2*n = 2*m + m - 113, 4*m - 144 = -n. Let d = m - -2. Calculate the remainder when d is divided by 10.
7
Let q(y) = 2*y**2 + 2*y - 2. Suppose -v - 1 = 1. What is the remainder when q(v) is divided by 1?
0
Let i(g) = -5*g**3 + 2*g**2 - 4*g - 3. Let k(d) = d**3 + d. Let v(n) = i(n) + 6*k(n). What is the remainder when 32 is divided by v(2)?
15
Suppose 0 = 2*b - 6*b - 4*p + 220, -3*p + 265 = 5*b. Calculate the remainder when b is divided by 17.
16
Suppose 5*f - 3*d - 62 = 0, 0 = 7*f - 2*f + 4*d - 34. Let i = 12 + f. What is the remainder when i is divided by 12?
10
Let h(c) = -c**3 - c**2 + 3*c + 2. What is the remainder when 2 is divided by h(0)?
0
Let i be 0/(-1) + 4 + 1. Suppose 0 = -3*s - i*t + 23 + 74, 2*s = -5*t + 63. What is the remainder when s is divided by 9?
7
Suppose 5 = 2*v - 1. Suppose v - 9 = -2*f. Suppose -3*w - f*k = -w - 53, -w + 4*k + 54 = 0. What is the remainder when w is divided by 18?
16
Let j(f) = f - 8. Let c(b) = b. Let y(d) = 2*c(d) - j(d). Calculate the remainder when 2 is divided by y(-6).
0
Calculate the remainder when 29 is divided by -5*((-4)/(-2) + -4).
9
Suppose 1 - 41 = -p. What is the remainder when 198 is divided by p?
38
Suppose 15*t - 28 = 14*t. Calculate the remainder when 109 is divided by t.
25
Let p(k) = 9*k**2 - 4*k + 3. What is the remainder when p(2) is divided by 17?
14
Let c(y) = y**3 + 14*y**2 + 9*y. Calculate the remainder when c(-13) is divided by 18.
16
Let t = 4 - -3. Suppose 3*g - 46 - 2 = -3*b, -5*g + 44 = 3*b. Calculate the remainder when b is divided by t.
4
Let m(h) = -h**3 + 8*h**2 - 10*h + 8. Let b be m(6). Let l = -4 + b. Suppose -l = -s + 1. Calculate the remainder when 33 is divided by s.
16
Calculate the remainder when (-25)/(-10)*58/5 is divided by 4.
1
Let k(g) = -2*g - 17. What is the remainder when k(-14) is divided by 6?
5
Let g = -55 + 109. What is the remainder when g is divided by 14?
12
Suppose -5*j = -0*v + 2*v - 170, -v = -j - 71. Let b = v + -53. What is the remainder when (86*(-3)/(-6))/1 is divided by b?
21
Suppose 3*v - 4*c - 7 = 0, -v - 11 = 2*c - 6*c. Let u(x) = x**3 - 33*x**2 + 34*x - 30. What is the remainder when u(32) is divided by v?
7
Let h be (3/(-2))/(9/(-30)). Let r = h + 3. What is the remainder when 22 is divided by r?
6
Suppose 2*l - 31 = 13. Calculate the remainder when l is divided by 38/6 + 5/(-15).
4
Suppose 2 = 3*f + 4*n, 5*f = f + n - 10. What is the remainder when -111*(-3)/(-18)*f is divided by 19?
18
Let v = 14 - -12. Suppose 2*u = -4*j + 164, 0 = -j - 4*j + 15. What is the remainder when u is divided by v?
24
Let s = 20 - -2. Let i(h) = h**2 + 4*h + 7. Let j be i(-7). Suppose -b = -4*p - 28, -4*p = -5*b + 104 - j. What is the remainder when s is divided by b?
10
Let h(p) = -p**3 + 7*p**2 