 the remainder when v is divided by 4.
2
Let n = 17 + -11. Let b(z) = -z**3 + 6*z**2 + 2*z + 4. What is the remainder when b(n) is divided by 6?
4
Let q = -45 - -72. Suppose 2*x = 2*y - 2, 0*y + 1 = 4*x + y. Suppose -5*c + x*c + 75 = 5*f, -74 = -5*f - 4*c. Calculate the remainder when q is divided by f.
13
Let t = 8 - 5. Suppose p - 15 = -2*p, -6 = m - p. Let q = 3 + m. What is the remainder when t is divided by q?
1
Suppose -6 = v - 13. What is the remainder when 27 is divided by v?
6
Suppose 0*d - 5 = -d, 4*d - 35 = -3*x. Suppose -x*k + 2*k = 4*y - 20, 2*y = 2*k - 18. Calculate the remainder when 23 is divided by k.
7
Let r(i) = -i + 10. What is the remainder when r(-7) is divided by 10?
7
Let q(w) = w**3 + 7*w**2 + 3. Let j be q(-7). Suppose -j*x - 88 = -5*x. Suppose -x = -8*k + 4*k. What is the remainder when 32 is divided by k?
10
Calculate the remainder when (5/(-3))/((-3)/153) is divided by 43.
42
Let r = 252 + -161. Let p = -65 + r. Calculate the remainder when p is divided by 9.
8
Let n(k) = k**3 - 8*k**2 + 6*k + 7. Let r be n(7). Suppose -3*i + i + 10 = r. Calculate the remainder when i is divided by 2.
1
Let t = -2 - -4. Let y(c) = -3*c**2 + 4*c - c**t + 0 + 2 - 2*c**2 + 2*c**3. What is the remainder when y(4) is divided by 13?
11
Let v be (-7)/1*(-20)/14. What is the remainder when (-203)/(-5) - 6/v is divided by (-26)/(-2) + (0 - -1)?
12
Let z = 8 + -3. Suppose -3*s + 2*h = -h - 60, -z*s - h = -112. Calculate the remainder when s is divided by 12.
10
Suppose 168 = -2*i + 14*i. Let u(y) = 2*y - 9. Calculate the remainder when i is divided by u(6).
2
Let c be ((-8)/(-10))/(4/(-10)). Calculate the remainder when c + 42*(-3)/(-6) is divided by 7.
5
Let c = -18 + 33. Suppose -1 = -5*d + 24. Suppose 55 = -d*f + 195. What is the remainder when f is divided by c?
13
Let k = -28 + 10. Let o = -6 - k. Calculate the remainder when ((-4)/(-5))/((-6)/(-255)) is divided by o.
10
Let m(x) = 2*x. Let t be (2/(-3))/(4/(-6)). Let k be m(t). Suppose z = -f + 6*f + 17, -3*z + 51 = k*f. What is the remainder when 49 is divided by z?
15
Let n(s) = 5*s**2 - 12*s + 2. Let l(q) = 2*q**2 - 4*q + 1. Let z(b) = 11*l(b) - 4*n(b). Let m = 13 + -18. What is the remainder when z(m) is divided by 17?
16
Let c be (0 + -1)*(0 - -1). Let u be -1 + c + 0 - -6. Calculate the remainder when 7*1 + -2 + u is divided by 5.
4
What is the remainder when (41 - 3/(-3)*4) + -3 is divided by 13?
3
Let w = 21 - 12. What is the remainder when w is divided by 5?
4
Suppose 5*y - 72 = 4*y. Suppose o - y = -3*o. What is the remainder when 35 is divided by o?
17
Suppose 2*n - 5 = n. Let z(q) = -6*q + 19. Let b be z(-7). Suppose n = -4*v + b. What is the remainder when v is divided by 8?
6
Let j = 10 - -11. Suppose -5*s + 2*s + 129 = t, 2*t - 263 = -s. Let o = t + -70. What is the remainder when o is divided by j?
20
Let h(p) = -8*p + 2*p - 157 + 166. What is the remainder when h(-6) is divided by 24?
21
Suppose 222 = 5*g - 2*g + v, 4*g = 3*v + 283. What is the remainder when g is divided by 19?
16
Let l = 16 - 12. Let g(i) = -i**3 + i**2 + 2*i + 1. What is the remainder when l is divided by g(2)?
0
Calculate the remainder when 84 is divided by (1/3)/(23/2001).
26
Let v(m) = m**2 - 1. Let t(r) = 10*r**2 - 2*r - 10. Let a(z) = t(z) - 8*v(z). Calculate the remainder when a(-3) is divided by 8.
6
Suppose -2*w - 4*h + 24 = 2*w, 2*w = 4*h - 18. Suppose -5*t + 3 = -12. Calculate the remainder when t is divided by w.
0
Let t = 28 - -39. What is the remainder when t is divided by 24?
19
Let l(k) = 12*k - 16. What is the remainder when l(8) is divided by 23?
11
Let m(w) = 2*w + w**3 - 5*w**2 + w - 2*w. Suppose 5*c = -6 + 51. Calculate the remainder when c is divided by m(5).
4
Let o(q) = q**2 - 9*q - 18. Suppose 2*h + n = 67, -4*n - 118 = 5*h - 284. What is the remainder when h is divided by o(12)?
16
Let z(i) = i**3 - 11*i**2 + 30*i - 11. What is the remainder when 19 is divided by z(7)?
1
Suppose -s - 18 = -3. What is the remainder when (5/s)/((-2)/162) is divided by 14?
13
Suppose -4*j + 262 = 3*p, -5*p + 11*j = 9*j - 480. What is the remainder when p is divided by 32?
30
Suppose -5*d - 1 = -m + 1, 3*m = 6. Suppose d = -3*b - 6, 3*c - 40 = 3*b - 4*b. Calculate the remainder when 54 is divided by c.
12
Suppose 4*f - 14 = 3*r, 3*f - 17 = -2*r + r. Calculate the remainder when 5 is divided by f.
0
Calculate the remainder when 113 + 1 + 16/4 is divided by 12.
10
Let d(i) = -i**3 + 5*i**2 - i - 7. Let t be d(6). Calculate the remainder when 41 is divided by (-21)/t + (-74)/(-7).
8
What is the remainder when 24 is divided by 16/40*25/2?
4
What is the remainder when 26 is divided by 14/(-3)*(3 - 6)?
12
Let j(y) = -y**2 - 11*y + 9. Suppose 9*m - 10 = 10*m. What is the remainder when 35 is divided by j(m)?
16
Let q(j) = -2*j**2 - 4*j + 5. Let g be q(-4). What is the remainder when (-339)/g - (-6)/33 is divided by 11?
9
Let a(h) = 4*h**2 - 5*h + 26. Calculate the remainder when a(-7) is divided by 37.
35
Suppose 0*n = -4*n + 308. Suppose -3*i - 3*r - 94 = -7*i, 0 = 3*i + r - n. What is the remainder when i is divided by 14?
11
Suppose 143 = -w + 2*w + 3*q, 3*w - 429 = q. What is the remainder when w is divided by 36?
35
Suppose -5*q + 55 = 2*n, 3*n + 0*n + 3*q - 69 = 0. Calculate the remainder when n is divided by 12.
8
Suppose 3*k = -2*w + 1, 5*w - 41 + 10 = 2*k. Suppose 3*p + w = n, 0 = 3*p - 0*n - 4*n + 2. What is the remainder when (p + 1)/(5/(-145)) is divided by 8?
5
What is the remainder when (8/5)/4*10 is divided by 3?
1
What is the remainder when 7 is divided by ((-1)/2)/(4/(-24))?
1
Suppose -q - 2*h = -24, q + 4*h - 23 = 3. Suppose 3*v + q = 5*v. What is the remainder when 5*(42/5 - 2) is divided by v?
10
Suppose -31 = -5*p - 1. Calculate the remainder when 27 is divided by -4*1*(-15)/p.
7
Suppose 22 = 3*s + 97. Let f = -12 - s. What is the remainder when 50 is divided by f?
11
Let d = 35 + -24. What is the remainder when d is divided by 3?
2
Let l(g) = -3*g**3 - 2*g**2 + g - 2. Calculate the remainder when 47 is divided by l(-2).
11
Let i(d) = -17*d + 27. What is the remainder when i(-11) is divided by 24?
22
Let y = 39 - 55. Let p = 26 + y. Calculate the remainder when p is divided by 6.
4
Suppose -4*d + 0*d + 88 = 0. Calculate the remainder when d is divided by (-9)/2*(-8)/3.
10
Calculate the remainder when ((-188)/6)/(4/(-6)) is divided by 12.
11
Let i(r) = 11*r**3 + r**2 + r - 1. Let f(b) = b + 12. What is the remainder when i(1) is divided by f(-5)?
5
Let b = -299 - -310. Let z(l) = 3*l**2 - 3*l + 6. Calculate the remainder when z(4) is divided by b.
9
Let x(l) = 5*l + 1. Let o be x(2). Suppose 0 = 2*d - 43 + o. Let r(v) = -v + 4. What is the remainder when d is divided by r(-5)?
7
Calculate the remainder when (-101 - 1)/(-4*2/28) is divided by 40.
37
Let y = -20 + 54. Calculate the remainder when y is divided by 9.
7
Suppose 0 = -v - 4*w + 18, 2*w - 116 = -4*v - 3*w. What is the remainder when v is divided by 7?
6
Let j(q) = q**2 + 3*q. Let z be j(-3). Suppose z = 2*h - 2*p - 20, 3*p - 42 = -h - 4*h. Calculate the remainder when h is divided by 6.
3
Let f(o) = 43*o - 1. Let p = -4 - -5. Let y be f(p). Let s = y + -23. Calculate the remainder when s is divided by 7.
5
Let z(g) = -g**3 - 13*g**2 - 26*g + 10. What is the remainder when z(-11) is divided by 8?
6
Let p(q) = -q**3 + 4*q**2 - q. Let u be p(3). Suppose f - 11 = 4*n + u*f, n = f - 5. Let t(k) = k**2 + k + 3. Calculate the remainder when t(n) is divided by 8.
7
Let d(q) = q**3 - 16*q**2 - 16*q - 5. What is the remainder when 22 is divided by d(17)?
10
Let l(m) = -m**3 - 12*m**2 - 11*m + 4. Let p be l(-11). Suppose 0*w - p*w = -156. What is the remainder when w is divided by 10?
9
Let o(v) = -3 + 3 - 3 + 0 + 10*v. What is the remainder when o(11) is divided by 27?
26
Suppose 0 = 2*d - 3*d + 37. Let o(v) = -v - 11. Let p be o(-10). Calculate the remainder when d is divided by -20*1/2*p.
7
Suppose 15 = u + 4*u. What is the remainder when u is divided by 1?
0
Suppose -46 = -5*v - 11. Let h(d) = d**3 + 7*d**2 + 2*d + 3. Let i be h(-6). Suppose 3*z = 4*z - i. Calculate the remainder when z is divided by v.
6
Let h = -1 + 2. Let l(i) = -i**3 - 6*i**2 - 5*i + 5. Calculate the remainder when l(-6) is divided by (-14)/(-1) - h*2.
11