9 - -82. Calculate the remainder when t is divided by 16.
15
Let s(v) = -4 + 17 + 3*v + 0*v - 2*v. What is the remainder when 25 is divided by s(0)?
12
Let o(j) = -7*j - 5 + 1 + 13*j. Let d = 3 - 0. What is the remainder when o(d) is divided by 8?
6
Calculate the remainder when ((-34)/4 - -3)*-10 is divided by 8.
7
Let x = -20 - -22. What is the remainder when 10 is divided by x?
0
Suppose -3*f - 30 - 132 = 0. Let m = -59 + 22. Let o = m - f. What is the remainder when o is divided by 6?
5
Suppose 3*o - 4 = 5. Let c(h) = -2*h**3 - h**2 - 2*h - 1. Let j be c(-1). Suppose -19 = j*l - o*l. What is the remainder when 55 is divided by l?
17
Let z(m) = m. Let b be z(-9). Calculate the remainder when 11 is divided by 0 - 0 - (b - -3).
5
Suppose 2*u = -4*r + 92, 5*u - 6 = 2*u. Calculate the remainder when r is divided by 8.
6
Suppose -5 = -5*g + 30. Calculate the remainder when 18 is divided by g.
4
Let j be (-1)/(-4) - 42/(-24). Let f be 64/28 + j/(-7). Suppose -3*w + f*w = -2. Calculate the remainder when w is divided by 2.
0
Suppose 4 = 5*k + l - 5, -4*k = 4*l - 20. Let y = 5 - k. Calculate the remainder when (2*-2 - -2) + y is divided by 1.
0
Suppose 0 = -5*h + h + 12. Suppose -4*g - 8 = 5*l - 78, h*g - 4*l - 68 = 0. What is the remainder when g is divided by 7?
6
Suppose 55 = 18*h - 233. Calculate the remainder when 44 is divided by h.
12
Let k(j) = j**2 + 11*j + 2. Let z be k(-11). Suppose -3*w - 4*b = -0*w - 189, z*b = 4*w - 230. What is the remainder when w is divided by 31?
28
Let w(s) = -5*s + 2. What is the remainder when 107 is divided by w(-4)?
19
Suppose 3*k - 2*y + 3*y - 17 = 0, y = 2*k - 3. Let h(o) = k + o**2 - 5 + 3*o - 2. What is the remainder when 43 is divided by h(3)?
13
Suppose -15*g = -16*g + 3. Suppose -g*k - 6 = -123. Calculate the remainder when k is divided by 10.
9
Suppose 0 = g - 2*g + 4. Let y(c) = -c**3 + c + 1. Let n be y(-1). Let q = n - -10. What is the remainder when q is divided by g?
3
Suppose 0 = 3*t - 3*x - 0*x - 87, 0 = -5*x. Calculate the remainder when t is divided by 6.
5
Suppose -j + 5*k + 27 = 0, -k + 10 = 3*j - j. What is the remainder when 20 is divided by j?
6
Suppose -4*q + 5*w + 17 = 0, -5*q - 20 = 5*w + 15. Suppose 8*y = 2*y + 72. Calculate the remainder when q*46/(-4) + 0 is divided by y.
11
Let f = 1 + 34. Calculate the remainder when f is divided by 12.
11
Suppose -6*c + 3*c + 306 = 0. Suppose w - 4*w = -c. Suppose 2*z - 21 = -2*t + 3*z, t - 18 = 3*z. What is the remainder when w is divided by t?
7
Let t = -1 + 16. Let d(b) = -b**2 + 14*b - 5. What is the remainder when d(6) is divided by t?
13
Let k(f) = -f**2 + 6*f. Let o be k(6). Suppose 0 = -u - o*u + 22. What is the remainder when u is divided by 6?
4
Suppose -68 = -3*d + 5*j + 52, -4*j + 192 = 4*d. Let c(u) = -17*u**3 - u**2 - u - 1. Calculate the remainder when d is divided by c(-1).
13
Suppose -59 = -5*t - 9. Let g(a) = 9. Let v(k) = -k + 26. Let p(r) = -11*g(r) + 4*v(r). Calculate the remainder when p(-8) is divided by t.
7
Suppose 3*a - 42 = -3*j, 0*j - 3*j + 51 = 4*a. Suppose -a = -5*h + 4*h. Let b = -19 - -45. What is the remainder when b is divided by h?
8
Suppose 0 = -2*h - 2 - 0. What is the remainder when 2 + h + (1 - -43) is divided by 23?
22
Suppose 4*y = g - 44, -5*g + 2*g = 2*y - 90. Let k = g + 10. Calculate the remainder when k is divided by 15.
12
Let q = -107 - -125. Calculate the remainder when 99 is divided by q.
9
Suppose -v = -2*o, 5*o - 3*v = -v. Suppose o = -3*c - 20 + 80. What is the remainder when 77 is divided by c?
17
Let i(r) = 21*r**2 + 1. Suppose 0 = -3*s + s - 6. Let o = s - -11. What is the remainder when i(-1) is divided by o?
6
Calculate the remainder when 30 is divided by ((-1)/(-3))/(10/480).
14
Let b(u) = -u**3 + 5*u**2 - 2*u + 3. Let n be b(5). Suppose 0 = t - 3 - 14. What is the remainder when (-41 + n)*(-4)/6 is divided by t?
15
What is the remainder when -4 + 3/2*12 is divided by 5?
4
Let i(n) = n - 12. Let q(r) = -r + 12. Let y(j) = -5*i(j) - 4*q(j). What is the remainder when 35 is divided by y(0)?
11
Let m(k) = k**2 + 14*k + 4. Let t be m(-14). Calculate the remainder when ((-1)/t)/(12/(-48)) is divided by 1.
0
Suppose -5*m + s + 378 = 0, 3*m + m + s - 306 = 0. Calculate the remainder when m is divided by 11.
10
Let p(y) = 2*y**2 - 6*y - 7. Calculate the remainder when p(5) is divided by 5.
3
Let d = -7 + 29. Let u = 4 + 1. Suppose -4*o - 72 = -u*h, h - 19 - 5 = 4*o. Calculate the remainder when d is divided by h.
10
Suppose b - 3 - 1 = g, -4*g = 8. Calculate the remainder when 4 is divided by b.
0
Suppose 2*q - 3*q - 20 = -t, -5*t - 4*q = -64. Let l = t - 10. Suppose -3*m = 9, -5*h + l*m - m + 60 = 0. What is the remainder when 17 is divided by h?
8
Let n(u) = -9*u**3 + u + 1. Let b be n(-1). Suppose -b = -4*c - l, -5 + 2 = c - 5*l. What is the remainder when c is divided by 2?
0
Suppose 0 = 2*o + 3*x - 228, o - 3*x + 7*x - 104 = 0. What is the remainder when o is divided by 11?
10
Suppose f - 4*f = -126. Suppose 5*t - f = -2. Let l(m) = m**3 - 5*m**2 + 2*m - 7. Calculate the remainder when t is divided by l(5).
2
Suppose 2*k = 6*k - 16, 2*j + 3*k = -196. Let s be (1 - 2)/(2/j). Suppose -4*t = -s - 24. Calculate the remainder when 37 is divided by t.
18
Suppose -7 = -2*f + 3*s, s + 0 = -f + 1. Suppose -3*m + 165 = f*m. Calculate the remainder when m is divided by 17.
16
Suppose -2*b + 16 = 2*b. What is the remainder when b is divided by 2?
0
Let c be (8/3)/((-6)/54). Calculate the remainder when 22 is divided by (c/(-14))/(3/21).
10
Suppose -2*x - 2*m = -25 - 23, 0 = -4*x + 5*m + 114. Suppose 0 = -c - 3*c + 36. What is the remainder when x is divided by c?
8
Suppose -5*g = -v + 3, 2*v - 2*g - 1 = 5. Suppose 24 = h + v*h + 3*s, -5*s = -20. Let m(u) = 7*u**2 + 1. Calculate the remainder when m(1) is divided by h.
2
Suppose d - 6 = -4. Suppose -11 = 3*v - d*x, -3*x + 7*x = 2*v + 18. What is the remainder when 2 + (2 + -37)*v is divided by 13?
11
Let q = 17 + -12. Let u = 3 - 1. Suppose 4*f - u*f + 2*z - 4 = 0, -q*f + 34 = -z. Calculate the remainder when f is divided by 3.
0
What is the remainder when 81 - 2/(-6)*-6 is divided by 20?
19
Suppose -165 = -h + 6*h. Suppose 0*n + 4*a = 2*n, 0 = 3*n + 2*a + 16. Let q = n - h. What is the remainder when q is divided by 15?
14
Let u(t) = 7*t - 4*t**2 + 5*t**2 - 2*t**2 - 3. Let o be u(6). Suppose -7 = -x + o*f - 0, -3*f + 69 = 3*x. What is the remainder when x is divided by 10?
9
Suppose l + 2*k = 4*l - 143, 3*l - 155 = -4*k. Calculate the remainder when l is divided by 17.
15
Suppose -2*n + 3*n = -1, u + 4*n = -1. Suppose 5*d - 3*z = 81, 4*d - u*d = 3*z + 9. What is the remainder when 70 is divided by d?
16
Let t = -16 + 26. Let w = 1 - -2. Suppose 45 = w*p - 36. Calculate the remainder when p is divided by t.
7
Let q(a) = a**3 - 15*a**2 + 13*a + 16. Let g be q(14). Let o = 11 + -1. Calculate the remainder when o is divided by (-8)/(-2) - (g + -2).
2
Let g(l) = 2*l - 4. Let w be g(3). Suppose 7*b - w*b - 185 = 0. Calculate the remainder when b is divided by 13.
11
Let d(m) = -m + 3. Let l be d(0). Suppose -2*q - 17 - 26 = -3*s, -s - 2*q + 17 = 0. What is the remainder when s is divided by l/12 - (-30)/8?
3
Let o(d) = d - 4. Suppose 0 = -4*k - 3*w - 2, 0*k = 3*k + 5*w + 7. Calculate the remainder when o(5) is divided by k.
0
Let k = 29 + -21. Calculate the remainder when 8 is divided by -11 + k - (1 - 9).
3
Suppose 0 = -j - 0*j + 5. Let s = j - 1. Calculate the remainder when 10 is divided by s.
2
Suppose -s = -n + 22, 2*n - 47 = 6*s - s. Calculate the remainder when 41 is divided by n.
20
Suppose 5*u + 4 = 3*c + 34, -4*u - 3 = 3*c. Suppose 2*l = -8, 2*v + 1 + 5 = -u*l. What is the remainder when 3/(4 - (-14)/(-4)) is divided by v?
0
Suppose -2*b - 3*b + 195 = 0. Calculate the remainder when b is divided by (-1 + 6)/(3/12).
19
Let u = -33 + 37. What is the remainder when 11 is divided by u?
3
Let d(b) = -b**3 + 7*b**2 + 11*b - 8. Suppose 3*m - 38 = -14. Suppose -q - 5*h = 3*q - 120, h + 30 = q. Calculate the remainder when q is divided by d(m).
14
Suppose -6*x + 320 = -2*x. Suppose -2*s = 3*s - x. Suppose 0 = 4*n - 4*m - 172, -4*n + 0*n = 5*m - 208. Calculate the remainder when n is divided by s.
15
Suppose -b - 10 + 2 = -5*d, 5*b = -4*d - 11. Suppose -