(i) = -11*i**3 + i**2 - 2*i + 1. Let j be t(1). Let z = j + 13. What is the remainder when 7 is divided by z?
1
Let l(c) = c + 10. Let a be ((-12)/9)/((-6)/(-27)). Let k(t) = -2*t - 1. What is the remainder when l(a) is divided by k(-2)?
1
Suppose -209 = -2*r + h - 0*h, -5*r + 5*h = -520. Calculate the remainder when r is divided by 27.
24
Let g be (-3 - -9)/(-2) + 6. Suppose 3*f + 12 = g. What is the remainder when 14 is divided by ((-42)/35)/(f/20)?
6
Suppose -28 = 5*x - 128. Suppose 0*v - x = -5*v. Suppose 49 + 11 = v*t. What is the remainder when t is divided by 6?
3
Let b = -2 + 7. Suppose 60 = b*m + r, m - 4*r = -m + 2. Let q = -4 + 24. What is the remainder when q is divided by m?
9
Let s = 156 - 39. Let x = 172 - s. Calculate the remainder when x is divided by 14.
13
Let f(x) = -x**3 + 9*x**2 + 25*x + 9. What is the remainder when f(11) is divided by 11?
9
Let f = -5 + 7. Suppose -2*v - v + 28 = 4*j, f*v = -j + 22. What is the remainder when (-8 - 2)/(2/(-9)) is divided by v?
9
Suppose 0 = 4*r + 1 - 9. Let f = r - -8. What is the remainder when 19 is divided by f?
9
Suppose 4*j = 6*j + 4*x - 18, 2*j - x - 28 = 0. Calculate the remainder when 31 is divided by j.
5
Suppose 3*x + 5*t = 6 + 28, 0 = x + 3*t - 14. Calculate the remainder when 30 is divided by x.
6
Let c = -2 - -5. Suppose 0 = 5*k - n - 41, -2*k + 13 = -0*k + c*n. What is the remainder when k is divided by 3?
2
Let z = 38 + -14. What is the remainder when 94 is divided by z?
22
Let a(x) = -x**3 + 12*x**2 + 15*x + 15. What is the remainder when 161 is divided by a(13)?
38
Suppose 6*g - 44 = -2. Suppose 0 = -2*f + f + 27. Calculate the remainder when f is divided by g.
6
Suppose 4*t = 3*u - 27, 0*t = 3*t. Let g = -551 - -577. Calculate the remainder when g is divided by u.
8
Let x(l) = -l**2 + 4*l - 2. Suppose 5 = -4*g + 17. Calculate the remainder when g is divided by x(3).
0
Suppose 2*c - 22 - 58 = 0. Suppose 9*l - 2*l = 371. What is the remainder when l is divided by c/3 + (-4)/(-6)?
11
Let c be (-1 - -1)/(-2 - -1). Suppose f - 10 = -y + 1, c = 4*y - 4. Calculate the remainder when 39 is divided by f.
9
Suppose 12 = 3*n - 0*n. Suppose -n*c + 7 + 37 = 0. Suppose o = 4*o - 60. What is the remainder when o is divided by c?
9
Let h be 3 - (-3)/(-3 - -2). Calculate the remainder when 58 is divided by -1 + 23 + -2 - h.
18
Calculate the remainder when (20/25)/(2/150) is divided by 21.
18
Suppose 5*x = 2*q - 3*q + 34, -3*x - q + 20 = 0. Suppose 0 = 5*m + x - 52. What is the remainder when 26 is divided by m?
8
Let w(t) = -t**2 + 13*t - 25. What is the remainder when 29 is divided by w(6)?
12
Let p = 47 + -16. Calculate the remainder when p is divided by 12.
7
Suppose -6*b - 22 = 14. Calculate the remainder when 1/(-6) + (-205)/b is divided by 12.
10
Suppose -6*s = -s - 185. Suppose -4*n = -39 - 13. What is the remainder when s is divided by n?
11
Suppose -j = 4*x - 116, x - 11 - 5 = 3*j. Let s(p) = p**2 + 4*p + 2. Let b be s(-4). What is the remainder when x is divided by (-3)/6 + 21/b?
8
Let a be (-1)/(-8)*10*4. Let k = a - 0. Suppose -3*x + 2 = 2*o + 2*o, -3*x = o - 5. What is the remainder when k is divided by x?
1
Suppose -47 = -4*j - 15. Calculate the remainder when j is divided by 5.
3
Let w = 2 - 0. Suppose 62 + 14 = 4*k + 4*c, -w*c = k - 24. What is the remainder when 39 is divided by k?
11
Suppose -n + 16 = p, 0*n + n - 36 = 3*p. What is the remainder when (-250)/(-3) + (-4)/12 is divided by n?
20
Let m = 67 - -9. What is the remainder when m is divided by 27?
22
Let u = -23 + 81. What is the remainder when u is divided by 15?
13
Let g = 18 + -18. Suppose 0 = 2*m - 4*n - 26, g = m + 2*n + n + 12. Calculate the remainder when m is divided by 3.
0
Let n(z) = -z**3 + 6*z**2 - 6*z + 1. What is the remainder when n(4) is divided by 6?
3
Let a(k) = k**2 - 11*k + 6. What is the remainder when a(-9) is divided by 17?
16
Let o(d) = 5*d**2 - 3. What is the remainder when o(4) is divided by 16?
13
Let z be 4 - ((-12)/(-4) - 2). Suppose 7*o - z*o - 60 = 0. What is the remainder when 57 is divided by o?
12
Let w be 3/(-9) + 52/3. Suppose -2*t + y - 7 = -2*y, y = -3*t + w. Suppose t*r = 3*r + 5. What is the remainder when r is divided by 3?
2
Suppose g + 0*c + 5*c = 105, -c = -2*g + 254. Calculate the remainder when g is divided by 32.
29
Let d be -1*(-3 - -3)/(-3). Suppose -s + 9 = -d*s. What is the remainder when 17 is divided by s?
8
Let w(a) = 3*a**3 + a**2 - 2*a + 2. Suppose -2*u = 3*m - 14, -u + 6 + 1 = 2*m. Calculate the remainder when w(2) is divided by u.
5
Let x = -25 - -30. Calculate the remainder when (x/(-3))/(3/(-63)) is divided by 19.
16
Suppose -i + 46 = -40. Suppose 0 = 6*y - 2*y - 12. Suppose -5*u + y*u = -i. Calculate the remainder when u is divided by 11.
10
Let q be -2 - 3/((-6)/64). Suppose -3*s + q = -3*k, -s + 4*k = s - 22. What is the remainder when s is divided by 6?
3
Let t(h) = 11*h**2 - 2 + 5 - 4. Suppose -5*a + 4*f - 17 = 0, -7 - 6 = 4*a - 3*f. Calculate the remainder when 19 is divided by t(a).
9
Let i(g) = -4*g - 3. Let m = 3 + -1. Calculate the remainder when i(-4) is divided by 3 + (-2 - -2) + m.
3
Suppose -2*j = 3 + 1. Calculate the remainder when 51 is divided by j/4 - (-660)/24.
24
Let i(d) = 15*d + 21. Let j(l) = 7*l + 10. Let w(c) = 6*i(c) - 13*j(c). What is the remainder when 7 is divided by w(-6)?
1
Let r(j) = -j - 6. Let p be r(-6). Suppose 4*c + p*c + 2*z = 32, -5*z - 10 = 0. Let k = 10 + c. What is the remainder when k is divided by 7?
5
Suppose 0*o = 2*o - 34. Suppose 4*f = -2*h + o + 3, -58 = -4*h + f. Calculate the remainder when 20 is divided by (h/1)/((-6)/(-3)).
6
Let f(k) = -k**3 - 2*k**2 - 6*k - 3. Let u(s) = -4*s**3 - 7*s**2 - 19*s - 10. Let d(h) = -7*f(h) + 2*u(h). Calculate the remainder when d(-3) is divided by 6.
4
Suppose z = 3*z - 212. Suppose -13*j + 6*j + 252 = 0. Calculate the remainder when z is divided by j.
34
Suppose -5*a - c + 49 = -23, -5*c + 52 = 3*a. What is the remainder when a is divided by 4?
2
Suppose 0 = 13*g - 10*g - 45. Calculate the remainder when g is divided by 6.
3
Suppose 4*y = 6*y - 38. Calculate the remainder when y is divided by 7.
5
Let s(n) be the first derivative of -n**2/2 + 17*n + 6. Suppose 0 = 4*u - 5*z + 1, -z = -2*u + 3*u - 11. Calculate the remainder when s(7) is divided by u.
4
Let x(j) = j**3 + j**2 - 5*j + 2. What is the remainder when x(4) is divided by 16?
14
Suppose l - 3*l = -136. Suppose 2*o + l = 6*o. Calculate the remainder when o is divided by 9.
8
Suppose 2*v - k - 32 + 7 = 0, 4*v - k = 45. Suppose -h = 3*h. Let r = 4 + h. Calculate the remainder when v is divided by r.
2
Let m = 11 - 8. Calculate the remainder when (0 + -2)*(-3)/m is divided by 1.
0
Let q be 0 + 2 + 159 - -1. Suppose 0 = -4*f + 2*s + q, 3*f + 5*s = -f + 197. What is the remainder when f is divided by 15?
13
Suppose 8*v + 68 = 10*v. Calculate the remainder when v is divided by 18.
16
Let c = -12 - -17. Let h(t) = t**2 - 2*t - 1. What is the remainder when h(5) is divided by c?
4
Let x(c) = 2*c**2 - 3*c + 1. What is the remainder when 28 is divided by x(3)?
8
Let u be (-3)/(-2)*(0 - -2). Suppose -6*i - 4 = -2*i, u*b = i - 5. What is the remainder when -2*(1 - (-7)/b) is divided by 3?
2
Let x(r) = -r**2 - 10*r - 13. Let c be x(-9). Let g be 3/c*(-4)/1. Let o = 6 - g. What is the remainder when o is divided by 2?
1
Suppose -81 - 14 = -5*z. What is the remainder when z is divided by 11?
8
Let u = 52 - 47. Calculate the remainder when 39 is divided by u.
4
Let x(b) = 185*b - 3. Let n be x(2). Let i = -260 + n. Calculate the remainder when i is divided by 27.
26
Let h = 13 - 5. What is the remainder when (-5)/20 - (-250)/8 is divided by h?
7
Let m(j) = j - 5*j + 4*j - 3*j + 4*j**2 + 4. What is the remainder when m(3) is divided by 16?
15
Suppose -m + 3*m - 12 = 0. Let b(c) = 66*c. Let l be b(m). What is the remainder when l/14 - 6/21 is divided by 10?
8
Let u(j) = -7*j**3 - 4*j**2 - 4*j - 1. Calculate the remainder when u(-2) is divided by 6.
5
Let o(r) = -r**3 - 2*r**2 + 1. Let q be o(1). Let t(z) = -z**3 + 2*z**2 + z - 2. Suppose b + 2*b = 102. What is the remainder when b is divided by t(q)?
10
Suppose 0 = -3*w - 0*w + 21. Let m be (-28)/(-6)*(-4 + w). Suppose 2*c = -0*c + m. Calculate the remainder when 20 is div