 = t**3 - 6*t**2 + t + 1. Let p be v(7). Suppose -p = -5*b - 12. What is the remainder when b is divided by x(2)?
4
Suppose -2*d + 7*d = -4*j + 15, 2*j = 4*d - 12. Suppose 0 = -2*z + 6 - 2. Suppose c - z*c + 3 = j. Calculate the remainder when 8 is divided by c.
2
Suppose 3*k - 110 = -4*p, 0*p + 149 = 5*p - 2*k. Suppose r + 23 = 2*m, -5*r - 32 - p = -4*m. Calculate the remainder when 34 is divided by m.
7
Suppose -4*v + 29 + 77 = 2*s, 0 = v + 3. What is the remainder when s is divided by 17?
8
Let b(i) = i + 1. Let x be b(3). Suppose 5*a + 5*q - 45 = 0, -5*q = -x*a - 2*q + 1. Calculate the remainder when 6 is divided by a.
2
Let m(p) be the third derivative of p**4/4 + 5*p**3/6 + 4*p**2. What is the remainder when m(7) is divided by 24?
23
Let c = 17 - 12. Suppose 5*j - 72 = o - 3, c = 5*o. Calculate the remainder when j is divided by 8.
6
Suppose 102 = 18*o - 15*o. Calculate the remainder when o is divided by 4.
2
Let q(t) = 13*t - 2. Suppose 5*v - 2 = -12. Let o be v/3*(-72)/16. What is the remainder when q(o) is divided by 13?
11
Let q = -19 + 42. Calculate the remainder when 67 is divided by q.
21
Let d(w) = 5*w - 2. Let q = 246 - 136. Calculate the remainder when q is divided by d(6).
26
Suppose 3*u - 795 = -2*u. Calculate the remainder when u is divided by 40.
39
Let k(b) be the third derivative of b**4/12 + 2*b**3 + 3*b**2. Let j be k(-8). Let z = j + 10. Calculate the remainder when 16 is divided by z.
4
Let o(t) = -t**2 - 8*t + 5. Let k be o(-9). Let s(z) = z**3 + 6*z**2 - 3. What is the remainder when s(k) is divided by 8?
5
Suppose -6*b + 8*b = -20. Let y(m) = -2*m - 8. Let p be y(b). Calculate the remainder when (-66)/4*(-16)/p is divided by 8.
6
Suppose 0 = 8*k - 10*k + 112. What is the remainder when k is divided by 29?
27
Let t(u) = 22*u - 1. Let f be t(1). Let j = -7 + f. What is the remainder when 27 is divided by j?
13
Let j(l) = -16*l. Let k = 9 - 5. Suppose 7 = -k*x + 3. What is the remainder when j(x) is divided by 6?
4
What is the remainder when 22 is divided by 7 - (12/(-4))/(-3)?
4
Let o(i) = -6*i**3 - 2*i + 1. Let p(w) = 8*w - 3. Let h be p(2). Suppose -5*x + h + 77 = 0. Calculate the remainder when o(-2) is divided by x.
17
Suppose 4*m - 5*m + 5*q = -53, 0 = -3*m + 5*q + 149. What is the remainder when m is divided by 10?
8
Let a(z) = -z**3 - 6*z**2 - 2*z - 1. Let s(i) = i**2 - 7*i + 4. Let c be s(5). Let n(o) = 2*o - 12. Calculate the remainder when a(c) is divided by n(8).
3
Let u = 4 + -4. Suppose -2*g - 3 + 7 = u. What is the remainder when 4 is divided by g?
0
Suppose -4*r = -12 - 48. What is the remainder when r is divided by 6?
3
Let p = 11 - 4. Calculate the remainder when p is divided by (1/(-2))/(1/(-10)).
2
Suppose 9*c = 34 + 182. What is the remainder when 93 is divided by c?
21
Let r(x) = x**2 - 10*x + 10. What is the remainder when r(11) is divided by 12?
9
Suppose -75 - 546 = 3*i. Let s = 303 + i. Suppose -y = 2*y - s. What is the remainder when y is divided by 11?
10
Let l(b) = 5*b + 1. What is the remainder when 106 is divided by l(7)?
34
Let q = -39 - -28. Let y = q + 25. Suppose 0 = -0*b - 4*b + 32. Calculate the remainder when y is divided by b.
6
Let x(f) = -f**3 - 6*f**2 - 4*f + 7. Let r be x(-5). Let h = 1 + r. Suppose -4*a + 25 = -h*a. What is the remainder when a is divided by 7?
4
Let y(p) = -p**3 + 11*p**2 - 10*p + 3. Let h be y(10). Suppose 3*q - q - 2*a - 42 = 0, -5*q + 99 = -h*a. Calculate the remainder when 70 is divided by q.
16
What is the remainder when 36 is divided by 3 + 0 + (17 - 1)?
17
Let j be 69/(-2)*32/(-24). Let x = j + -22. Calculate the remainder when x is divided by 9.
6
Let c(u) be the second derivative of -1/12*u**4 + 0 + 7/6*u**3 + u + 5/2*u**2. Calculate the remainder when c(4) is divided by 9.
8
Suppose 2*m - 4*h + 14 = -3*m, 10 = -4*m + 2*h. Let o(u) = -23*u. Calculate the remainder when o(m) is divided by (1 + (16 - 1))*1.
14
Suppose 2*z = 3*z - 7. Let t = -1 - 1. Let d(w) = -6*w + 1. What is the remainder when d(t) is divided by z?
6
Suppose -4*a = 6 - 18. Let p(j) = j**3 + 3*j**2 + 3*j + 1. What is the remainder when p(a) is divided by 22?
20
Suppose 1 = 2*b - 33. Calculate the remainder when b is divided by 9.
8
Let p(a) = 18*a**2 + a. What is the remainder when 55 is divided by p(1)?
17
Let d be (-2)/((-3)/(-66)*-4). Suppose -d*o + 8*o = -24. Suppose -t + o = -7. What is the remainder when t is divided by 9?
6
Suppose 21*d = 25*d - 88. What is the remainder when 85 is divided by d?
19
Let n = 0 - 4. Let q(u) = -3*u - 3. Calculate the remainder when q(n) is divided by 4.
1
Let r be 2/(4 - 2)*-1. Let g be 1*r/(3/(-15)). Suppose -n = -g - 1. What is the remainder when 22 is divided by n?
4
Suppose -5*d - 16 = -n + 15, 2*n + d = 18. What is the remainder when 16 is divided by n?
5
Suppose 162 - 495 = -9*a. Calculate the remainder when a is divided by -3*(-20)/18*3.
7
Suppose -h + 103 = 4*a, 3*a - h - 51 = 21. Calculate the remainder when a is divided by 13.
12
Let b = 8 - -18. Calculate the remainder when b is divided by 15.
11
Let x = -8 - -24. Let r = -510 - -557. Calculate the remainder when r is divided by x.
15
Suppose m - 5 - 13 = 0. Calculate the remainder when 89 is divided by m.
17
Calculate the remainder when 32 is divided by (0 - 4/(-10))/(26/780).
8
Suppose -4*u + 121 = -19. What is the remainder when 138 is divided by u?
33
What is the remainder when 17 is divided by 5/(5/7) + 3?
7
Suppose -16 + 6 = -w. Calculate the remainder when 68 is divided by w.
8
Let g = -2 - -64. Calculate the remainder when g is divided by 21.
20
Suppose 4*g - 205 = 91. What is the remainder when g is divided by 25?
24
Let t(c) be the second derivative of c**4/12 - c**3/6 + 5*c**2 + 3*c. Calculate the remainder when 28 is divided by t(0).
8
Let w(r) = r**3 + 9*r**2 + 9*r + 1. What is the remainder when w(-6) is divided by (-9)/21 - 101/(-7)?
13
Let o = 14 - 7. Suppose 45 = -2*m + o*m. Calculate the remainder when 26 is divided by m.
8
Let f = 4 - 0. Suppose -f*l = -8*l + 28. What is the remainder when l is divided by ((-24)/(-15))/((-4)/(-10))?
3
Suppose 173 = 4*t + 3*p + 45, -2*t + 2*p = -64. Let g = 211 + -86. What is the remainder when g is divided by t?
29
Suppose 18 = -3*v - 0*v. Suppose -4*t = t - 140. What is the remainder when t is divided by 10 - (3 + v + 3)?
8
Suppose 0 = -2*x - 6 + 22. Suppose 1 = u - 0*u, u + 3 = 4*n. Suppose n = p - 4. Calculate the remainder when x is divided by p.
3
Suppose -4*i + 63 = 3*d - 2*i, 0 = 2*i + 6. What is the remainder when d is divided by 4/6*6*2?
7
Suppose -6*s - 7 + 43 = 0. What is the remainder when (-4)/(-18) + 133/9 is divided by s?
3
Let y be 17/4 + 1/(-4). Suppose 7*f - 51 = y*f. Calculate the remainder when f is divided by 9.
8
Let q(j) = 3*j**3 - 3*j**2 + j - 2. Let d be q(2). Calculate the remainder when (8/(-5))/(d/(-330)) is divided by 0 + 0/(-3) + 15.
14
Let m = 110 - 61. Calculate the remainder when m is divided by 26.
23
Suppose 4 + 5 = d. Calculate the remainder when 69/2 - 10/20 is divided by d.
7
Let u(l) = -l**3 - 1. Let w be u(0). Let k = w + -1. Calculate the remainder when (0 + 27)/3 + k is divided by 4.
3
Let u(c) = 3*c**2 + 3. Calculate the remainder when u(3) is divided by (-2)/((6/48)/(-1)).
14
Let c = 28 + -4. What is the remainder when c is divided by 17?
7
Let q be (3/(-12)*0)/(-2). Suppose 3*v = -q*v + 60. Let t(r) = 14*r - 3. Calculate the remainder when t(3) is divided by v.
19
Let c = -4 + 31. Suppose -4*p = -12, 3*p - p = 3*l - c. Calculate the remainder when 41 is divided by l.
8
Let y(s) = -s**3 + 0 - 5*s**2 + 1 + 0 + 7*s - 4*s. Let o be y(3). Calculate the remainder when 2 - (o/2 - -1) is divided by 17.
15
Suppose -252 = -13*x + 4*x. What is the remainder when x is divided by 15?
13
Let f = 9 - 11. Calculate the remainder when (12/(-6))/(f/29) is divided by 8.
5
Let j = 99 + -28. Suppose 4*o = -h + 26, -2*h + 3*o + 30 = -0*o. Calculate the remainder when j is divided by h.
17
Let w = -3 + 3. Suppose 4*l - a + 3*a = 32, 5*l + 5*a - 45 = w. What is the remainder when l is divided by 4?
3
Let g(r) = -r**2 - 13*r + 1. Let d be g(-10). Let b = 43 - d. What is the remainder when 22 is divided by b?
10
Suppose -4*o + 4*n + 4 = 0, -2*o + 5*n + 0 - 1 = 0. Suppose 2*d + o*l = -8, d - 2*d = 3*l + 14. Wh