ppose 5*g = 5*p + 2*g - 5, 0 = 3*p + 5*g + 31. Let a = 41 + p. What is the remainder when a is divided by 21?
18
Let c = -5 - -7. Suppose 0*z - 6 = -z - 2*p, -c*z = -p + 3. Suppose 2*y - 6 = -z. Calculate the remainder when y is divided by 2.
1
Suppose 0 = -x + 3*d + 6, -2*d - 22 = 2*x - 74. Let n = -39 + 72. Suppose 4*k - k = n. Calculate the remainder when x is divided by k.
10
Suppose 0 = -7*g + 4*g + 234. Suppose -5*n = -4*x - 106, -4*x + 7*x - 3*n + g = 0. Let w = -14 - x. Calculate the remainder when 29 is divided by w.
9
Let a(r) = -9*r - 30. Calculate the remainder when 87 is divided by a(-6).
15
Calculate the remainder when (-52)/(-26) - (-39 - -1) is divided by 26.
14
Let y(k) = k**2 + 3*k - 3. Let s(o) = o**2 + 7*o + 6. Let t be s(-5). Let l be y(t). What is the remainder when 38 is divided by (l - -25*1)/2?
12
Let w = -24 + 75. Calculate the remainder when w is divided by ((-4)/(-2))/((-2)/(-13)).
12
Let p = -1 + 3. Let m = 2 + p. Suppose 0 = o - 2*o - 2*z + 9, 0 = m*o - z - 45. What is the remainder when o is divided by 6?
5
Let u(o) = -o + 8. Let d be u(4). Suppose -4 = 2*k - d*t, -5*k = 3*t - 2*t - 1. What is the remainder when 40 is divided by k - 0 - (-15 + 1)?
12
Let p = 0 - -44. Calculate the remainder when p is divided by 15.
14
Suppose 54 = 4*a - 2*u, 0 = -0*a - a - 4*u + 18. Suppose 4*i + 3*f = 164, 2*i + 0*i - 82 = -3*f. What is the remainder when i is divided by a?
13
Let y = 60 + -26. What is the remainder when 135 is divided by y?
33
Let v(x) = -x**3 + x**2 + 5*x + 3. Let q be v(-3). Let u = q + -12. Calculate the remainder when 23 is divided by u.
11
Let h(i) = -5*i + 2. What is the remainder when 27 is divided by h(-1)?
6
Let b(z) = -2*z - 12. Suppose -3*x - x - 20 = f, 5*f + 46 = -2*x. What is the remainder when 15 is divided by b(f)?
3
What is the remainder when 23 is divided by (-2)/(-10) + (-264)/(-55)?
3
Let m = -7 - -11. Suppose -2*n - 6 = -m*n. Calculate the remainder when 4 is divided by n.
1
Let a(v) = -33*v - 7. Calculate the remainder when 117 is divided by a(-2).
58
Let p(b) = b**3 + b**2 - b + 9. Suppose -3 = -4*v + 2*v - 3*d, -5*d - 3 = 2*v. Calculate the remainder when p(0) is divided by v.
3
Suppose 5*f - 4 = 4*f. Suppose -t = -f*t. Suppose 5*d - 54 = -2*g + 41, t = 4*d - 12. What is the remainder when g is divided by 14?
12
Let l(u) = -2*u + 23. What is the remainder when l(0) is divided by 7?
2
Let x(s) = 22*s + 2. Let r be x(-6). Let c = 185 + r. What is the remainder when c is divided by 19?
17
Let g = 20 + -14. Suppose 2*x = -3*x + 30. Let o = 11 + x. Calculate the remainder when o is divided by g.
5
Let j be 1 - (-2 - (-2)/(-1)). Suppose -j*n - k + 5*k + 174 = 0, -4*n + 2*k + 144 = 0. What is the remainder when n is divided by (2/4)/((-3)/(-78))?
12
Let q(x) = x**3 - 9*x**2 + 13*x + 11. What is the remainder when 7 is divided by q(7)?
3
Let j(b) = -78*b**3. Let w be j(-1). Suppose -2*g + 20 = -4*l, -7 = 5*g - 3*l - w. Suppose g = -r + 5*r. What is the remainder when 10 is divided by r?
2
Let m(n) = n**2 - n + 4. Let o = 6 - -3. Calculate the remainder when m(5) is divided by o.
6
Suppose 3*r - 5 = 10. Suppose 40 = -h + r*h. What is the remainder when 28 is divided by h?
8
Suppose 5*j + 4*f + 6 = 0, 2*j - 3*f - f - 20 = 0. Suppose j*c - 24 = -10. What is the remainder when c is divided by (-2)/3 + 8/3?
1
Let k = -7 - -21. Suppose 2*v - k - 42 = 0. What is the remainder when v is divided by 10?
8
Let h(k) = -2 + 4 - 1 + 4*k. Let v be h(1). Suppose 15 = v*b, -5*b = -2*l - b + 10. Calculate the remainder when l is divided by 6.
5
Let m = 2 - 0. Calculate the remainder when 1 + (38 - -2) + m is divided by 11.
10
Let b(l) = l**3 + 5*l**2 + 3*l - 2. Let u be b(-4). Suppose -2*p + 3*j = -41, u*p - 54 + 14 = 4*j. What is the remainder when p is divided by 12?
10
Let r(w) = 6*w + 2. Let i be r(-1). Let n(f) = 2*f**2 + 6*f + 5. Calculate the remainder when n(i) is divided by 5.
3
Calculate the remainder when 52 is divided by 126/(-7)*(-2)/4.
7
Suppose 4*p + 3*q = -120, q = 5*p - 20 + 170. Let z = 49 + p. Calculate the remainder when z is divided by 5.
4
Let z be (51 - 3/1) + -3. Let w = z - 24. Calculate the remainder when w is divided by ((-3)/6)/(1/(-22)).
10
Let v = 14 + -2. Calculate the remainder when 3/(-9)*(5 + -146) is divided by v.
11
Suppose 2*b - 4 = -0. Suppose b*p + p = 72. What is the remainder when 69 is divided by p?
21
Suppose 180 = -u + 5*u. Suppose 5*l - 25 = u. Let d(g) = -g - 13. Calculate the remainder when l is divided by d(-18).
4
Let j(g) = g**2 - 5*g + 6. What is the remainder when 46 is divided by j(6)?
10
Suppose -5*f - 2*n = -60, -4*n - 48 = -2*f - 2*f. What is the remainder when 320/7 + 4/14 is divided by f?
10
Let t be -1 - (-2 + 1 + 3). Let i(p) = -3*p + 1. Calculate the remainder when 28 is divided by i(t).
8
Let u(m) = -m**3 + 2*m + 2. Let h be u(0). Calculate the remainder when ((-3)/1 + h)*-9 is divided by 5.
4
Let v(m) = 17*m + 8. Let h(n) = n + 1. Let f(c) = -6*h(c) + v(c). Calculate the remainder when f(6) is divided by 23.
22
Let s(w) = w**3 - 4*w**2 + 2*w - 3. Let d be s(3). Let o be d/(11/14 + -1). Suppose -a - a = -o. What is the remainder when 41 is divided by a?
13
Suppose 5*b - 15 = -0*b. Suppose 32 = 5*k + 2. Calculate the remainder when k is divided by b.
0
Suppose 3*d - 264 = 3*q + 27, -4*q = 3*d - 312. What is the remainder when d is divided by 17?
15
Let d = -63 - -69. Calculate the remainder when d is divided by 3.
0
Let o = 24 - -69. Calculate the remainder when o is divided by 32.
29
Let f = -2 - -7. Suppose -z = -4*m + 11, 12 + 7 = 5*m + 4*z. Suppose f*d - y - 77 = 0, -d - m*y + 10 = 1. What is the remainder when 58 is divided by d?
13
Let u(q) = 6*q + 1. Let w be u(-1). Let y(v) = v**2 + 2*v + 1. Calculate the remainder when 31 is divided by y(w).
15
Let z(w) = w + 1. Let o be z(3). What is the remainder when 19 is divided by (1/(-4))/(o/(-176))?
8
Suppose 4 = -0*u + u. Suppose 2*t + q = -u*q + 29, 0 = 3*t + 2*q - 38. What is the remainder when 22 is divided by t?
10
Suppose v = -2*v + 39. Let k = 45 - v. Calculate the remainder when k is divided by 11.
10
Let h be (2 - 6)*(-18)/4. Let j = h + 2. Calculate the remainder when 38 is divided by j.
18
Let r = -5 + 8. Suppose 0 = -4*m - r*p + 138, m - 5*p - 40 + 17 = 0. Calculate the remainder when m is divided by 17.
16
Let s(t) = 2*t**2 - 15*t + 4. What is the remainder when 154 is divided by s(8)?
10
Let k(r) = 57*r**2 - 2*r - 1. Let j be k(-1). Suppose t + i = j, t - 2*i - 33 = 2*i. Calculate the remainder when t is divided by 18.
17
Suppose -4*l = k - 16, 5*l - 5*k + 7 = 27. Suppose -l*j + 26 = h, -2*j + 3*h + 8 = -12. Suppose -1 - 56 = -3*q. What is the remainder when q is divided by j?
5
Suppose -4*s - u = -89, -8*s - 5*u + 130 = -3*s. What is the remainder when s is divided by 14?
7
Let y = 12 - -6. Suppose x + 3*x - 284 = 0. Calculate the remainder when x is divided by y.
17
Let q(r) = r**3 - 18*r**2 + 33*r - 12. What is the remainder when 6 is divided by q(16)?
2
Suppose t = 5*k - 223, 6*t - 145 = -3*k + t. What is the remainder when k is divided by 12?
9
Calculate the remainder when 58 is divided by (135/60)/((3/16)/1).
10
Let n(k) = -3*k**2 - 5*k - 2. Let d(s) = -8*s**2 - 16*s - 6. Let p(x) = 2*d(x) - 7*n(x). What is the remainder when 46 is divided by p(-2)?
14
Calculate the remainder when 49 is divided by (-26)/4*(-1 + -1).
10
Let i = -26 - -35. Calculate the remainder when 15 is divided by i.
6
Let c(z) = z**3 + 7*z**2 + 5*z + 6. Let i(q) = -3*q**3 + q**2 + 4*q + 3. Let t be i(-2). Let n = 57 - t. Calculate the remainder when n is divided by c(-6).
10
Let p = -40 - -43. Calculate the remainder when 18 is divided by p.
0
Let b = -19 + 11. Calculate the remainder when (-416)/b*2/4 is divided by 9.
8
What is the remainder when (76/6)/((-87)/18 - -5) is divided by 20?
16
Let k(g) = -g**2 - 4*g + 6. What is the remainder when k(-5) is divided by 1?
0
What is the remainder when 48 is divided by 4/22 - (-2160)/220?
8
Suppose 22 = 2*v - d - 17, -2*v + 3*d + 29 = 0. What is the remainder when 43*1/(-3)*-3 is divided by v?
21
Let c be -1*(1 - 1 - -2). Let d be (-97)/c + (-4)/8. Suppose -4*s + 24 + d = 0. What is the remainder when s is divided by 10?
8
Suppose f = -d - 39, 5*f - 165 = d + 4*d. L