 = 0. Calculate the remainder when s is divided by 14.
13
Suppose 8 = 2*n - i, -2*n = -5*n - 5*i - 1. Suppose 3*t - 7 - 74 = 5*k, -2*t = n*k - 54. Calculate the remainder when t is divided by 14.
13
Suppose 3*r - 5*x = 61, 3*r + x = -26 + 93. What is the remainder when r is divided by 12?
10
Let t(o) = -7*o - 2. Let i(g) = g**2 - 2*g + 6. Calculate the remainder when t(-6) is divided by i(4).
12
Suppose -5*w + 148 = a - 15, a = 3. Calculate the remainder when w is divided by 11.
10
Calculate the remainder when 86 is divided by 1176/40 - 8/20.
28
Let n = 54 - 46. What is the remainder when 31 is divided by n?
7
Let l(n) = -n**3 + 10*n**2 + 4*n - 4. What is the remainder when l(10) is divided by 19?
17
Suppose 3*x = 4*u - 13, -3*u = -2*x + 7*x + 12. Let b be u - -1 - -2*1. Suppose 0*d = -b*d + 20. What is the remainder when 14 is divided by d?
4
Let q = -14 - -23. Calculate the remainder when 25 is divided by q.
7
Let q be (-12)/3 - -10*1. Suppose 4*u = q*u - 24. Calculate the remainder when 21 is divided by u.
9
Suppose 0*f = 4*a - 2*f - 166, 0 = -4*a - 2*f + 186. Calculate the remainder when 218 is divided by a.
42
Suppose h - 8 = -3*l, 0 = h - l - l - 3. Suppose y - 4*y - h*i + 13 = 0, -4*y = -i - 48. What is the remainder when 32 is divided by y?
10
Suppose -3*a + 0*r = 4*r + 4, 5*r + 10 = -5*a. Let j = a - -12. What is the remainder when j is divided by (-1)/(-7) - (-136)/28?
3
Let t(v) = -v + 10 - 12 + 9. What is the remainder when 57 is divided by t(-5)?
9
Let l(t) = t**2 + 6*t + 4. Let u be l(-3). Let i(m) = m**2 + 4*m - 7. Let v be i(u). Calculate the remainder when (39/(-6))/(v/16) is divided by 18.
16
Let o(d) = 6*d**2 - d - 1. Let z(y) be the first derivative of -3*y**4/4 - y**2/2 + y - 1. Let c be z(1). Calculate the remainder when o(c) is divided by 19.
18
What is the remainder when 45 is divided by 21 - (3 - 5/1)?
22
Let m = 6 + 0. Suppose -15 = -m*k + k. Calculate the remainder when 7 is divided by k.
1
Calculate the remainder when (-366)/(-7) + (20/28 - 1) is divided by 29.
23
Let r(i) = -i**2 - 11*i + 17. Let j(h) = h**2 + 5*h - 5. Calculate the remainder when r(-11) is divided by j(-7).
8
Let g(p) = -p**2 + 27*p - 48. What is the remainder when 94 is divided by g(24)?
22
What is the remainder when 77 is divided by 1*3*221/51?
12
Suppose -11 = 5*i - 1. Let m = i + 5. Calculate the remainder when (0 - 2) + (-30)/(-5) is divided by m.
1
Let q be ((-9)/2)/(3/(-8)). Let m be -1 + 3 - q/3. What is the remainder when (m + (-72)/(-3))*2 is divided by 23?
21
Let y(j) = -j**3 + 12*j**2 + 12*j + 11. Let d be y(13). Calculate the remainder when 3*(d - 159/(-9)) is divided by 12.
11
Let q(c) = c - 8. Calculate the remainder when 5 is divided by q(12).
1
Suppose 0*m + 6 = 2*m - 3*g, 0 = 5*m + 3*g - 57. Let u(w) = 2*w**3 - 8*w**2 - 7*w. Calculate the remainder when u(5) is divided by m.
6
Suppose -3*b + s = -13, -12 - 6 = -4*b + 2*s. Let k(x) = 12*x + 3. Let a be k(b). Let m = a + -35. Calculate the remainder when 30 is divided by m.
14
Let s(r) = r**3 + r**2 + r - 2. Let u be s(-2). Let i = 16 + u. Suppose -y + 3 = -2. Calculate the remainder when i is divided by y.
3
Let g(q) = -q**3 + 3*q**2 + q - 1. Let f be g(4). Let h = -9 - f. What is the remainder when ((-15)/(-9))/((-25)/(-90)) is divided by h?
2
Let f(w) = -w**2 - 5*w - 1. Let d be f(-4). Suppose 5 = d*t + 2. Suppose -2 = -m + t. Calculate the remainder when m is divided by 2.
1
Suppose -6*o + 120 = -3*o. What is the remainder when o is divided by 21?
19
Let g = -12 + 14. Suppose u - 5 = -g. Calculate the remainder when u is divided by 2.
1
Suppose 2 - 5 = -r. Suppose 5*c = 7*k - r*k - 43, 0 = 5*k + 5*c - 65. Suppose -4*a = -a - 105. Calculate the remainder when a is divided by k.
11
Let w = -52 + 29. Let y = 27 + w. What is the remainder when y is divided by 3?
1
Let q(f) = -f**3 + 6*f**2 - 4*f - 3. Let v be 5*2*1/2. Let x be q(v). What is the remainder when 16 is divided by 2/4*x*6?
4
What is the remainder when (-15)/6*(-696)/20 is divided by 22?
21
Let q(m) = m**3 + 14*m**2 + 15*m - 15. Calculate the remainder when q(-12) is divided by 12.
9
Suppose -3*o - 2*c = 10, 2*o + c - 5 = 2*c. Let g = o + 13. What is the remainder when (2 + 66/(-8))*-4 is divided by g?
12
Let v = 2 + 5. What is the remainder when 25 is divided by v?
4
Let z = 98 - 242. Let i = -103 - z. What is the remainder when i is divided by 21?
20
Let u(c) = c**2 + 10*c - 6. What is the remainder when 32 is divided by u(-12)?
14
Let r = -2 + 13. Let a(l) = -16*l - 208. Calculate the remainder when a(-15) is divided by r.
10
Let p(y) = 10*y**2 - y + 11. Calculate the remainder when p(-3) is divided by 35.
34
Let q(z) = -8*z - 13. What is the remainder when q(-8) is divided by 18?
15
Let p = -7 + 3. Let m(v) = -v**3 - 2*v**2 - 4*v - 5. Suppose 4*a - 43 = 1. Calculate the remainder when m(p) is divided by a.
10
Let j be (14/4)/((-2)/(-4)). Let x(u) = -u**3 + 9*u**2 + 11*u + 13. Let n be x(10). What is the remainder when n*(-1 + j)/3 is divided by 16?
14
Suppose 4*t = -4*x + 156, -49 = -t + 3*x + x. Calculate the remainder when t is divided by 15.
11
Calculate the remainder when 122 is divided by 2783/66 - (-3)/(-18).
38
Let f(s) = -4*s - 5. Let i = -8 - -20. What is the remainder when f(-7) is divided by i?
11
Suppose 0 = -3*o + k + 58, k = 3*o - 3*k - 70. Let r = 33 + -59. Let j = -16 - r. What is the remainder when o is divided by j?
8
Suppose -4*n - 2 = -z + 2, -5*z + 39 = -n. Let s = 13 - z. Calculate the remainder when 12 is divided by s.
2
Let a(l) = -l**2 + 3*l + 17. What is the remainder when 59 is divided by a(0)?
8
Let j(u) be the first derivative of 3*u**4/4 - 5*u**3/3 + 5*u**2/2 - 2*u + 4. What is the remainder when j(3) is divided by 17?
15
Suppose 0*u = -4*u - n + 50, 0 = 3*u + 5*n - 29. What is the remainder when u is divided by 4?
1
Let b(j) = j**3 - 8*j**2 + j. Suppose 1 = -3*a - 5*f, -2*f = -f + 5. Calculate the remainder when 1*(5 + -2) + 11 is divided by b(a).
6
Let y(k) be the third derivative of -k**6/120 + 2*k**5/15 - k**4/3 + 5*k**3/3 - 3*k**2. What is the remainder when -3*(2 - (-20)/(-6)) is divided by y(7)?
1
Suppose 0 = -2*d - d + 33. Let h(m) = 2*m**3 - 8*m**2 + m + 5. Let p be h(6). Suppose 2*b + p = 7*b. Calculate the remainder when b is divided by d.
9
Let u(g) = -72*g**2 + g. Let m be u(1). Let l = m + 116. Calculate the remainder when l is divided by 12.
9
Let n(x) = -x**2 + 5. Let t be n(0). Suppose 164 = 4*v + 2*r, -3*v - v = -t*r - 178. Calculate the remainder when v is divided by 11.
9
Let q be (-2)/(0 - (-3)/(-21)). Suppose -v + q = -0*v. Calculate the remainder when 27 is divided by v.
13
Let s = 18 + 6. Let q(t) = -2*t + 1. What is the remainder when s is divided by q(-6)?
11
Let u(o) = o**3 - 8*o**2 + 2*o - 1. Let d be u(7). Let x = 59 + d. Let p = -8 - -16. Calculate the remainder when x is divided by p.
7
Let o(l) = -28*l + 5. What is the remainder when o(-2) is divided by 9?
7
Let o(x) = -x + 3. Let i = 0 - 3. Let t = i - -3. What is the remainder when 4 is divided by o(t)?
1
Suppose 4*b - 114 = -3*u + u, -4*b + 79 = -5*u. Let p(v) = -v**2 + 2*v + 1. Let j be p(-3). Let y = 28 + j. What is the remainder when b is divided by y?
12
Let o(b) be the second derivative of -b**5/20 - 3*b**4/4 - 3*b**3/2 - 5*b**2/2 - 7*b. Calculate the remainder when (-1 + (2 - 0))*4 is divided by o(-8).
1
Let j(k) = k**2 + 7*k + 5. Let t be (-4)/6*9/(-2). Suppose -t*y = 0, 8*r - 4*r + y = 56. What is the remainder when r is divided by j(-7)?
4
Let t = 21 - 16. Let q = 3 + 11. What is the remainder when q is divided by t?
4
Suppose 20 = -6*k + 7*k. Let n = -8 + k. What is the remainder when 33 is divided by n?
9
Suppose -q + 6*q = 2*p - 35, -2*p + 2*q = -26. Let z = 134 - 116. Calculate the remainder when z is divided by p.
8
Suppose 90 = 5*w + 5*w. What is the remainder when w is divided by 4?
1
Let k(r) = r**3 + 16*r**2 + 15. What is the remainder when 88 is divided by k(-16)?
13
Suppose 5*w = -0*w + 140. What is the remainder when w is divided by 10?
8
Let c be (-48)/(-20)*5/2. What is the remainder when 15 is divided by (-1 + (c - 3))*4?
7
Let t = -42 + 56. What is the remainder when t is divided by ((-4)/3)/((-1)/3)?
2
Let y(x) = -111*x + 13. Let g be y(9). Suppose 2*h - 27 - 1 = 0. What i