pose 2 = -z + 9. Let q(m) = m**3 - 5*m**2 - 5*m + 6. What is the remainder when q(6) is divided by z?
5
Let m(r) = -19*r**3 - 2*r**2 + 1. Let s = 208 + -203. Calculate the remainder when m(-1) is divided by s.
3
Suppose 3*r = -u - u + 220, -4*r + u = -308. Suppose 3*i - 2*f = -0*i + 44, r = 5*i - 2*f. Let a = -7 + i. Calculate the remainder when a is divided by 4.
1
Suppose -3*b + j = 26 - 305, -3*b = 5*j - 297. Calculate the remainder when b is divided by 19.
18
Suppose -4*o = 5*h - 51, -3*h - h = -12. What is the remainder when 24 is divided by o?
6
Let u be (-2 + 9)*(-36)/(-21). Let g = u - 6. Calculate the remainder when 28 is divided by g/(-8) + (-126)/(-8).
13
Let y be 2*((-6)/4)/3. Calculate the remainder when 21 is divided by -4*(-1 + y/1).
5
Let d(a) = 36*a**2. Calculate the remainder when 143 is divided by d(1).
35
Let w(k) = -k**2 + 7*k + 2. What is the remainder when 14 is divided by w(6)?
6
Suppose -3*u - 2*o = -27, -2*o - 4 = -u + 5. Let s = -24 + 39. What is the remainder when s is divided by u?
6
Let j = -19 + 81. What is the remainder when j is divided by 9?
8
Suppose -3*w = w + 44. Let p = w + 15. Calculate the remainder when 10 is divided by p.
2
Let a = 55 + -12. What is the remainder when a is divided by 23?
20
Let x(b) = -b**2 + 9*b - 6. Calculate the remainder when -1 + 4 + 18 + 1 is divided by x(6).
10
Suppose -4*m + 5*p + 63 = 0, -5*m - p + 82 = -4*p. Let q be 20/((-51)/18 + 3). Calculate the remainder when (-24)/(-5)*q/18 is divided by m.
15
Let v(q) = q**3 + 14*q**2 + 23*q - 3. Calculate the remainder when 51 is divided by v(-12).
6
Calculate the remainder when 29 is divided by (-2)/3 + (-188)/(-12).
14
Suppose 2*o - 2 - 2 = -2*d, 4*o - 9 = -5*d. Calculate the remainder when 3 is divided by d.
0
Calculate the remainder when (-5)/((-50)/(-6))*-65 is divided by 14.
11
Let v(f) = f**3 + 3*f**2 - 3*f - 5. Calculate the remainder when v(-3) is divided by 2.
0
Suppose -3*t - 3*d = -21, 2*t + 2*t - 3*d = 21. Calculate the remainder when 15 is divided by t.
3
Let x be 16/(-40) + 174/10. Suppose -2*z + x - 5 = 0. Let d(q) = 5*q**3 - q. What is the remainder when z is divided by d(1)?
2
Suppose 3*l + 27 = k, -l + 2*l - k = -7. Let f = l - -16. What is the remainder when ((-5)/(70/12))/(10/(-105)) is divided by f?
3
Suppose 7*k = 3*k + 120. Calculate the remainder when 117 is divided by k.
27
Calculate the remainder when 53 is divided by (3/(-6))/((-1)/36).
17
Let q(w) = w + w**3 + 2*w**2 - 6*w**2 + 0*w + 3. Calculate the remainder when 12 is divided by q(4).
5
Let x(h) = -h**2 - 3*h + 3. Let q be x(-3). Suppose -3*n - 276 = q*y, -4*y + 5*n = 405 - 73. Let t = y - -134. What is the remainder when t is divided by 16?
14
Let f(g) = -g**3 + 10*g**2 + g + 10. Let u(d) = -d**3 + 8*d**2 + d + 2. Let v be u(8). Calculate the remainder when 58 is divided by f(v).
18
What is the remainder when (0 + (-43)/1)/(-1) is divided by 11?
10
Suppose 350 = 4*y - 22. Let b(m) = -13*m - 4. Let r be b(-3). Calculate the remainder when 38 is divided by y/7 - 10/r.
12
Let d = 58 - 4. What is the remainder when d is divided by 14?
12
Let j(u) = -11*u - 1. Let q be j(-1). Suppose -5*c = -25 - q. Calculate the remainder when c is divided by 4.
3
Suppose p + 4*k - 102 = -2*p, k + 41 = p. Suppose -20 - p = -2*b. Calculate the remainder when b is divided by 10.
9
What is the remainder when 58 is divided by (-12)/9*(-1 - 14)?
18
Let q(k) be the second derivative of -k**5/20 + k**4/6 + k**3/2 - k**2 - k. Let c be q(3). Let v = c + 7. Calculate the remainder when 13 is divided by v.
3
Let n(t) = -t**2 + 8*t - 4. Let d = -6 + 11. What is the remainder when n(d) is divided by 6?
5
Let f(o) = o**2 + 4*o - 10. Calculate the remainder when 31 is divided by f(-7).
9
Suppose -4*k = -49 - 23. What is the remainder when 339 is divided by k?
15
Let x = 6 - 6. Let s(v) = x - 3*v - 3 + 2 + 0. What is the remainder when s(-1) is divided by 1?
0
Let z = -5 + 5. Suppose -4*r + 9 = -0*g - g, z = -4*g + 12. Suppose x = r*x - 22. What is the remainder when 41 is divided by x?
8
Suppose 0 = 3*r - 2 - 7. Suppose 2*d - 3*n - 35 = 0, -5*n + 63 = r*d - 18. Suppose a + a = d. Calculate the remainder when 32 is divided by a.
10
Suppose 5*w - 3 = 32. What is the remainder when w is divided by 4/(-26) - 205/(-65)?
1
Let r(n) = n**2 + 2*n - 10. Let s be r(-5). Suppose 0 = -0*t + s*t - 15. What is the remainder when 11 is divided by t?
2
Suppose -2*x + 3*u = -14, u + 2*u - 46 = -4*x. Let f(s) = s**2 + s + 2. Let k be f(0). Suppose k*b - 25 = 13. Calculate the remainder when b is divided by x.
9
Suppose q - 1 = 25. Calculate the remainder when q is divided by 15.
11
Calculate the remainder when 4/(0 - 4) - -16 is divided by (-1 - 1 - 2)*-2.
7
Suppose -3*r - 12 = -5*r. What is the remainder when 25 is divided by r?
1
Let u(l) = -l**2 + 2*l + 2. Let i be u(-2). Let a = i - -15. Calculate the remainder when a is divided by 6.
3
Let h(x) = -x + 1. Let b(s) = -2*s + 3. Let w(q) = 3*b(q) - 7*h(q). Let l be w(0). What is the remainder when 4 + 54 - 1*l is divided by 19?
18
Suppose 5*m = -o + 21, m - 3*o + 8 = 5*m. Suppose 5*b = b + 56. What is the remainder when b is divided by m?
4
Let p = 402 + -192. Let x = p - 120. Suppose -y - x = -5*o, 4*o + 2*y = 35 + 51. Calculate the remainder when 56 is divided by o.
18
Let h = 552 - 383. Calculate the remainder when h is divided by 34.
33
Suppose -f - 2*v - 8 = 0, -2*f + 0*f = -5*v - 29. Suppose -5*p = -5*j + 15, f*p + 0*p = -j. What is the remainder when 4 is divided by j?
0
Let l(o) = -o**3 + 17*o**2 + 38*o + 17. What is the remainder when l(19) is divided by 5?
2
Let f = -4 + 6. Suppose 18 = 5*k - f. What is the remainder when 12 is divided by (10/k)/((-1)/(-2))?
2
Let o = -11 - -22. Suppose -3*k + o = -13. Calculate the remainder when 29 is divided by k.
5
Let g = 67 + -31. Calculate the remainder when 69 is divided by g.
33
Let n(l) = l**3 + l**2 - l - 3. Let a(j) = j**2 + j - 2. Let r be a(-2). Let z be n(r). Calculate the remainder when (-1 - z) + 17/1 is divided by 10.
9
Suppose -3*f + 54 = 5*m - 7*f, -2*m = 2*f - 18. Suppose -3 = -c + m. What is the remainder when 77 is divided by c?
12
Let j(n) = 8*n + 1. Let c be j(7). Suppose 0 = -5*b + c - 7. What is the remainder when (0 - (-38)/(-4))*-2 is divided by b?
9
Let k(p) = -p**3 + 7*p**2 + 6*p - 1. Let r be k(8). Let t = r + 29. What is the remainder when 34 is divided by t?
10
Let x(j) = 2*j**2 - 10*j + 14. Calculate the remainder when x(6) is divided by 9.
8
Let r = -35 + 64. Calculate the remainder when 0 + (2 - -86) - 2 is divided by r.
28
Let p(q) = q**3 - q**2 - 2*q + 3. Suppose 0*w - 6 = -3*w. Calculate the remainder when p(w) is divided by 3.
0
Suppose -5*p + 25 = -0*p - 2*q, 0 = 5*p - 4*q - 35. Suppose -4*o + 2*o - 96 = -p*t, 3*t - o = 93. What is the remainder when t is divided by 16/((2/(-1))/(-2))?
14
Suppose s + 0*s = -14. Let h = s - -25. Calculate the remainder when (4/5)/((-1)/(-25)) is divided by h.
9
Let s be (-193)/8 - 5/(-40). What is the remainder when (s/30)/(4/(-70)) is divided by 8?
6
Let j = -117 - -65. Let t = 134 + j. What is the remainder when 20 is divided by (-2)/(-12) - t/(-12)?
6
Suppose 4*q = -c - c + 30, 5*q - 30 = -4*c. Let p = 17 - q. Calculate the remainder when p is divided by 4.
3
Suppose 2*u + 4*x = 8*x + 32, -4*u + 4*x + 44 = 0. Suppose -15*p - 55 = -20*p. What is the remainder when p is divided by u?
5
Suppose -4*j + 15 + 45 = 0. Calculate the remainder when 89 is divided by j*1 + 0 + 0.
14
Let w be (-136)/10 - 9/(-15). Let t = -7 - w. Let m = t + -3. What is the remainder when m is divided by 1?
0
Let f(n) = -n**2 - 8*n - 9. Let h be f(-7). What is the remainder when (-342)/15*5/h is divided by 15?
12
Suppose 275 = 33*p - 28*p. Calculate the remainder when p is divided by 12.
7
Let p = 4 - 2. Suppose -f + 0*d + p*d + 17 = 0, 4*f - 4*d = 68. What is the remainder when f is divided by 6?
5
Suppose 0 = -5*m + 4*z + z + 150, -5*m - 2*z + 143 = 0. Let c = -17 + m. What is the remainder when 22 is divided by c?
10
Let n(g) = g**3 + 9*g**2 - 7*g + 1. Let z(w) = w**3 + 8*w**2 - 7*w + 1. Let q(r) = 5*n(r) - 6*z(r). Calculate the remainder when 27 is divided by q(-5).
13
Let o(b) = -22*b - 3. Let w(q) = 1. Let c(f) = -o(f) - 2*w(f). What is the remainder wh