.
9
Let a be (-9)/(-6)*4 + -1. Let n(z) = -4*z - 2*z**2 - 6*z**2 - 4*z - z**3 - a. What is the remainder when 4 is divided by n(-7)?
0
Let a = 0 + 11. Calculate the remainder when 42 is divided by a.
9
Let v(s) = 3*s**2 - 2*s + 1. What is the remainder when v(4) is divided by 14?
13
Suppose -7*s + 3*s + 124 = 0. Let q = -17 + s. Let x = -15 - -23. Calculate the remainder when q is divided by x.
6
Let n(c) = 2*c - 14. Calculate the remainder when 9 is divided by n(10).
3
Let a(c) = 2*c**2 + 22. Let b be a(0). Suppose 4*u + k = -0*k + b, 2*k = -4. What is the remainder when 22 is divided by u?
4
Let q = -11 - -7. Let r(w) = -7*w + 6. Suppose -x = -14 + 2. Calculate the remainder when r(q) is divided by x.
10
Let j = 0 + 7. Suppose 2*a + 45 = j*a. What is the remainder when 33 is divided by a?
6
Let u = 267 + -117. What is the remainder when u is divided by 38?
36
Let l(h) = -21*h. What is the remainder when 81 is divided by l(-1)?
18
Let i be 5/((5/3)/5). Let f be 4/10 + (-37)/5. Let m = i + f. Calculate the remainder when m is divided by 3.
2
Let r = -40 + 65. What is the remainder when 97 is divided by r?
22
Let d(s) = -s**2 + 5*s + 4. Let q be (-9)/(-6)*8/3. Suppose 4*u - 5*u = -q. Calculate the remainder when d(3) is divided by u.
2
Let u(l) = -l**3 + 13*l**2 - 8*l + 3. Calculate the remainder when u(12) is divided by 9.
6
Let q be 0/(-2*(1 - 0)). Let u(j) = 2*j - 4. Let g be u(7). Suppose g + q = i. Calculate the remainder when i is divided by 6.
4
Let g(b) = -5*b - 8. What is the remainder when g(-8) is divided by 7?
4
Let n(u) = -u**3 + 7*u**2 + 13*u - 12. What is the remainder when n(8) is divided by 6?
4
Suppose 4*z = -5*j + 41, -4*z + 0*z + 2*j + 62 = 0. What is the remainder when 53 is divided by z?
11
Let j be ((-4)/(-6))/(6/45). Suppose -28 = -2*d + t, 2*d + 5*t = j - 1. Let l = -4 + 27. Calculate the remainder when l is divided by d.
11
Let c(n) = -3*n + 0*n + 0*n. Let p = -92 - -86. What is the remainder when c(p) is divided by 7?
4
Suppose -p - 7 + 4 = 0. Let v be 6/p + 11 + -2. Let f = v - 3. Calculate the remainder when f is divided by 2.
0
Calculate the remainder when 30 is divided by -1 - (-11)/(44/48).
8
Suppose -2*f - 2*c = -8, 3*f - 4 - 4 = -c. Suppose 0 = 5*n - 0*n + d - 18, 0 = -4*n + f*d + 6. Let q = 2 - -3. What is the remainder when q is divided by n?
2
Let z(s) = s**2 + 6. Let i be z(0). Let a = 18 + -1. What is the remainder when a is divided by (1 + -5)/((-4)/i)?
5
Suppose -3*v + 5*v = 30. Calculate the remainder when 57 is divided by v.
12
Let r(n) = 28*n + 1. What is the remainder when r(1) is divided by 5?
4
Let k(d) = -25*d - 1. Let q be k(-7). Calculate the remainder when 35 is divided by 1/(-3 - q/(-57)).
16
Let l(v) = -19*v - 2. Suppose 2*f = -8 - 2. Let k be l(f). Suppose -21 = -3*c + 3*w + 36, k = 5*c - 3*w. What is the remainder when 34 is divided by c?
16
Suppose -10*m - 21 = -13*m. What is the remainder when 64 is divided by (-44)/m*(-42)/12?
20
Suppose 2*t + 3*t + 344 = 4*h, 3*h - 231 = -3*t. Suppose -265 + 293 = q. What is the remainder when h is divided by q?
25
Let o be 4/(-16) - 105/(-4). Let k = -14 + o. What is the remainder when 22 is divided by k?
10
Calculate the remainder when 42/(4 - (0 + 2)) is divided by 6.
3
Suppose 4*s + 108 = 4*n, 70 = 3*n - s - 19. Calculate the remainder when 90 is divided by n.
28
Let d(s) = 6*s - 16. Calculate the remainder when 63 is divided by d(8).
31
Let a be (2/(-2))/(2/(-6)). Suppose 0 = -a*z + 4*z - 3. What is the remainder when (4/5)/(z/60) is divided by 9?
7
Suppose 3*p - 2*p + 4 = t, 4*t - 18 = 5*p. Suppose 3*v - 15 = t*v. Calculate the remainder when 43 is divided by v.
13
Suppose -l + 4*g + 128 = 0, -g + 739 = 5*l + 162. Suppose 3*s + l = -5*b - 9, 42 = -b - 4*s. Let a = b - -38. Calculate the remainder when 46 is divided by a.
14
Let b(u) = u**3 + 9*u**2 - 11*u - 3. Let r(a) = -2*a - 3. Calculate the remainder when b(-10) is divided by r(-4).
2
Let g(u) = 3 + u**3 + 0*u**2 - 3*u**2 - 4*u**2 + 2*u. Let c be g(7). Suppose 0 = -j + 9 + c. Calculate the remainder when j is divided by 9.
8
Suppose -4*y - 312 = -4*c, -y - 283 = -5*c + 99. Let l = c + -37. Calculate the remainder when l is divided by (-2*1)/(3/(-30)).
19
Let k(c) = -3*c + 1. Let z(j) = -j**2 - 16*j + 19. What is the remainder when z(-16) is divided by k(-2)?
5
Suppose -10*c + 0*c = -780. Calculate the remainder when c is divided by 20.
18
Let n = 16 - 9. Suppose -s - 11 = -5*c, 0*s - 7 = 3*c - 4*s. What is the remainder when n is divided by c?
1
Let i be 2*15/(-6)*-1. Suppose -3*v - i*y = -91, -y + 0*y = 2*v - 56. Let c = 20 + v. Calculate the remainder when c is divided by 12.
11
Let t = 12 - 8. Calculate the remainder when 15 is divided by t.
3
Let m = 12 - 2. Suppose p = 2*p - 8. Let h = p + 30. Calculate the remainder when h is divided by m.
8
Suppose 0 = 5*h - 4*p - 57, -4*p = 5*h - p - 36. Suppose h + 21 = 5*g. What is the remainder when g is divided by 4?
2
Let n = 60 - 33. Calculate the remainder when n is divided by 15.
12
Let l(s) = -s - 6. Let t be l(-9). Let a = -19 + 30. What is the remainder when (1/t)/(2/186) is divided by a?
9
Suppose h = 3*o + 4*h + 162, o = -3*h - 46. Let d = o + 97. Let m = -28 + d. Calculate the remainder when 32 is divided by m.
10
Suppose 0 = -0*q + 6*q - 150. Calculate the remainder when 72 is divided by q.
22
Suppose 22 + 26 = 2*w. Suppose -45 = -5*k + 5*v, -k + w = -5*v - 5. Calculate the remainder when 11 is divided by k.
3
Suppose -g + 3*g - 40 = 0. Suppose g - 59 = -3*y. Let p(d) = 39*d - 2. What is the remainder when p(1) is divided by y?
11
Let f be 4*15/(-4)*-2. Let w = f - 23. Suppose -7*o + 20 = -3*o. What is the remainder when w is divided by o?
2
Let x(g) = g**2 - 2*g - 5. Let d be (6/5)/(9/(-30)). What is the remainder when x(d) is divided by 5/2*4 + 0?
9
Let r(p) = 1. Let q(v) = v - 9. Let m(a) = -q(a) - 2*r(a). What is the remainder when 77 is divided by m(-13)?
17
Suppose 5*o - 4*s - 51 = 0, s = 3 - 2. Let n = -34 + 41. Calculate the remainder when o is divided by n.
4
Let o(h) = -2*h**3 - 11*h**2 + 5. Calculate the remainder when o(-6) is divided by 14.
13
Let b(h) = -h + 6. Let i be b(8). Let d be (-2)/((i + -1)/6). Suppose 0 = -r + d + 3. Calculate the remainder when 13 is divided by r.
6
Suppose 0 = -j - 0*j - h - 1, -3*h = -5*j - 5. Let c be ((-24)/30)/((-2)/5). What is the remainder when c + j - (-6 - 0) is divided by 4?
3
Suppose -7*d = -75 - 156. What is the remainder when d is divided by 12?
9
Let u(q) = -q**2 + 9*q + 5. Let x be u(5). What is the remainder when (-15)/(-10) + x/2 is divided by 5?
4
Let o = -11 + 24. Calculate the remainder when 37 is divided by o.
11
Let f = 71 + -26. Suppose -4*r + f = -r. Let b = -9 + r. Calculate the remainder when 10 is divided by b.
4
Let p = -85 - -126. What is the remainder when p is divided by 12?
5
Let s = 23 + 2. Suppose u = 6*u - s. Suppose -u*y - b + 6*b + 65 = 0, 4*y = 5*b + 52. Calculate the remainder when 38 is divided by y.
12
Suppose 5*m - 23 = 5*r + 137, 0 = -2*m - 4*r + 46. Suppose 0 = -x + 5*x - 32. Calculate the remainder when m is divided by x.
5
Let g = 35 - 18. Calculate the remainder when g is divided by 14/2 + 8 + -6.
8
Suppose -x - 5*d + 2 - 5 = 0, -3*d - 27 = -3*x. Let f = x - 2. Suppose -141 + 26 = -f*p. Calculate the remainder when p is divided by 12.
11
Let y(w) = -w**3 - w**2 + w - 2. Let p be y(-2). Let q(v) = -v**2 - v + 9. Calculate the remainder when 17 is divided by q(p).
8
Suppose 5*d + 5*m - 20 - 200 = 0, -d = -m - 38. Calculate the remainder when d is divided by 11.
8
Suppose 2*z + 4 - 8 = 0. What is the remainder when 8 is divided by z?
0
Let r(z) be the second derivative of -z**5/20 - 7*z**4/12 - z**3/2 - 2*z**2 - 3*z. Calculate the remainder when r(-7) is divided by 10.
7
Suppose -2*r - 29 = -3*r. Let i = r - 2. What is the remainder when i is divided by 10?
7
What is the remainder when 4 + 15/(-10)*-12 is divided by 16?
6
Let p = 34 + -24. Suppose -d + 19 + p = 0. Suppose 0 = 2*j - 12 - 8. Calculate the remainder when d is divided by j.
9
Calculate the remainder when 116 is divided by 816/21 + 4/28.
38
Let j(u) = -u + 22. Let v be j(0). Let p = v + -16. What is the remainder when 17 is divided by p?
5
Calculate the remainder when 15 is divided by (