2*w = 4*a - 6*a + 16. What is the remainder when j is divided by a?
10
Suppose 0 = x - 0*x. Suppose x = 2*h + 8 - 2, 5*h = -3*f + 18. What is the remainder when -1 - 3/(-2)*22 is divided by f?
10
Let i(b) = -3*b**3 - 3*b**2 + 2*b - 4. Let g(v) = -v - 9. Let t be g(-6). Let p(f) = -f**3 + 3*f - 3. Calculate the remainder when i(-3) is divided by p(t).
14
What is the remainder when 2/(-8)*(-48)/(-9)*-33 is divided by 14?
2
Suppose -3*i = -2*a + 45, 5*a - 3*i - 69 = 30. What is the remainder when a is divided by 5?
3
Suppose 5*j + f - 10 = 0, 0*j - 2*j = f - 4. Let n(l) = 2*l**3 - 4*l**2 + 2*l + 2. Calculate the remainder when n(2) is divided by (0 - 1) + 10/j.
2
Let p = -50 - -74. What is the remainder when p is divided by 14?
10
Let c(p) = 26*p**3 - p**2 + 1. Let t(b) = 2*b**2 - 4*b**2 + 3*b**2. Calculate the remainder when c(1) is divided by t(-3).
8
Let h = 26 + -12. Let l = 6 + h. What is the remainder when 37 is divided by l?
17
What is the remainder when 100 is divided by 17/(-1 - 12/(-8))?
32
Let n(i) = 2*i**2 + i + 2 + 0*i + i**2 + 3*i. Let m be n(-2). Calculate the remainder when (-24)/10*(-45)/m is divided by 10.
8
Suppose 5*x + l - 78 = -0*l, l = -2*x + 33. Suppose -4*b = b + x. What is the remainder when 19 is divided by (-38)/(-4) - b/6?
9
Let j(f) = f - 2. Suppose -d + 17 = 2*m, -m + 13 = -0*d + d. Calculate the remainder when d is divided by j(6).
1
Suppose -r + 2*a = 8, 2*a = r + 3*r + 8. Suppose 3*h - 78 = -3*l, r = -2*h + 5*l + 21 + 10. Calculate the remainder when h is divided by 8.
7
Let g = -54 - -113. Suppose -9 = -3*c + 3. What is the remainder when g is divided by (5/(-3))/(c/(-48))?
19
Let w = 49 - 18. What is the remainder when w is divided by 17?
14
Let p(a) = a**2 + 3*a + 3. Let z be p(-2). Let t(d) = -2*d**2 - d**3 + 3*d**2 + z + 1 + 5*d. Calculate the remainder when t(-3) is divided by 8.
7
Let k be ((-11)/(-1))/(3/3). Suppose 3*h - 10 = k. Let w = 8 - 5. Calculate the remainder when h is divided by w.
1
Let n(i) = -10*i + 4. Let v(w) = -9*w + 4. Let x(p) = -4*n(p) + 5*v(p). What is the remainder when 73 is divided by x(-3)?
16
Let m(v) = -v. Let c be m(-2). Suppose -j - 73 = -c*x, 0 = x + 2*x + 5*j - 129. Calculate the remainder when x is divided by 20.
18
Let n = 8 - 8. Let j(f) = -2*f + 1. Let k be j(4). Let b = n - k. Calculate the remainder when 13 is divided by b.
6
Suppose 0 = 3*n - 130 - 29. What is the remainder when n is divided by 14?
11
Let c = 3 - -3. Suppose 6 = 3*g + q, 5*q - 13 = -4*g + c. What is the remainder when -1 - 0/1 - -2 is divided by g?
0
Let r be 6*(-2)/(-3) + -3. Suppose 9 = -z + 5*o + r, -4*z = -5*o + 2. What is the remainder when 4 is divided by z?
0
Suppose 5*y - 35 = -5. Suppose -y*g + 22 = -4*g. What is the remainder when (3/(-3) - -45) + -2 is divided by g?
9
Let d = -11 + 19. Let k = -18 + 48. Calculate the remainder when k is divided by 1/4 - (-126)/d.
14
Let a(r) = r**3 - 5*r**2 - 7*r + 7. Calculate the remainder when 1 is divided by a(6).
0
Let d(v) = -v**2 - v - 13. Let s be d(-8). Calculate the remainder when 4/(-14) + (-142)/(-7) is divided by 4*(s/(-12) - 3).
9
Let b(r) = -r**3 + 6*r**2 + r + 8. What is the remainder when 67 is divided by b(6)?
11
Suppose 9 = -5*q + 44. Calculate the remainder when 25 is divided by q.
4
Let c = 2 - 4. Let s = -4 - c. Calculate the remainder when 32 is divided by (s/4)/(4/(-88)).
10
Let h be (-3 - 0/(-3)) + -6. Let r be (-2*h/(-2))/(-1). Suppose -i = -r - 32. What is the remainder when i is divided by 21?
20
Suppose 4*l = 8, 0 = 2*z - z + l - 7. Suppose -33 + 8 = -z*p. Suppose -p*o + 2*o + 4*t = 10, -4*o = 4*t - 24. Calculate the remainder when 4 is divided by o.
0
Suppose -2*k - 6*k + 104 = 0. Calculate the remainder when k is divided by 9.
4
Suppose 2 - 17 = -3*u. Suppose -u*k + 0*k + 65 = -5*z, k + 3*z = 5. Let m = k + -8. Calculate the remainder when 8 is divided by m.
2
Let a(g) be the first derivative of g**3/3 - g**2/2 - g - 2. What is the remainder when a(-6) is divided by 21?
20
Let b(k) = -2*k - 20. Calculate the remainder when 77 is divided by b(-20).
17
Let z(p) be the third derivative of -5*p**4/24 - 2*p**3/3 - p**2. What is the remainder when z(-12) is divided by 15?
11
Let z(p) = -2*p + 5. Suppose 4*s = 5*r - 16 - 274, 3*s + 58 = r. Calculate the remainder when r is divided by z(-5).
13
Let s(p) = p**2 + 5*p + 2. Let q be s(-5). Suppose 54 = 5*t - q*a, 0*t + a = -3*t + 28. Calculate the remainder when 19 is divided by t.
9
Suppose -h + 0 = -6. What is the remainder when (-1)/((h/(-93))/2) is divided by 11?
9
Let b = -7 + 24. Let h = 40 - b. Calculate the remainder when h is divided by 6.
5
Suppose 4*s - 7 - 9 = 0. Suppose s*n + 20 = 6*n. Calculate the remainder when 39 is divided by n.
9
Let c = -14 + 6. Let h = c + 12. What is the remainder when 14 is divided by h?
2
What is the remainder when (-16)/(-20)*12*(1 + 4) is divided by 18?
12
Let h(f) = 12*f**3 - 2*f**2 - 3*f + 3. What is the remainder when h(2) is divided by 22?
19
Suppose -v = -2*v + 19. Calculate the remainder when 75 is divided by v.
18
Suppose 5*v = -2*k + 13, -5*v = 6*k - k - 25. Suppose 0 = a + k*a + 3*h - 207, 0 = 5*a - 4*h - 214. What is the remainder when a is divided by 15?
12
Suppose 0 = l - 5*j + 17 + 7, 18 = 3*l + 3*j. Suppose 4*p = 4*d - 57 - 3, -3*p - 4*d - 10 = 0. What is the remainder when 28 is divided by p*(0 - 1)*l?
8
Suppose -7*k = -k - 300. Let u = -12 + k. Calculate the remainder when u is divided by 10.
8
Let n = -1 - -13. What is the remainder when 32 is divided by n?
8
Let v(f) = 4*f**2 + 2*f. What is the remainder when (12/(-10))/(6/(-15)) is divided by v(-1)?
1
Let y be ((-32)/(-24))/((-2)/(-6)). Suppose 0 = f - 0*f - 3*z, -y*z = -3*f + 15. Calculate the remainder when 24 is divided by f.
6
Suppose 0 = -3*j, b + 3*j - 61 = 2*j. Calculate the remainder when b is divided by 16.
13
Let v(d) = -d**3 - d**2 + d + 4. Let x(c) = c**3 - 3*c**2 - c + 3. Let k be x(3). Suppose -5*o + o + 20 = k. Calculate the remainder when o is divided by v(0).
1
What is the remainder when 111 is divided by 46/3 + 60/(-45)?
13
Let r(c) = -5*c**2 + 4*c - 3. Let y be r(3). Let q = -25 - y. Calculate the remainder when 43 is divided by q.
10
Calculate the remainder when 7 is divided by (-1)/8*2*(-26 + -2).
0
Let q(p) = -p**2 + 5*p. Suppose 4*j - 9 = 3*f, 7*j + 4*f = 2*j + 19. Let u = j - -3. Calculate the remainder when u is divided by q(4).
2
Calculate the remainder when 3/5 + (-868)/(-20) is divided by 24.
20
Let q(c) = -1. Let u(t) = t - 3. Let i(p) = -4*q(p) + u(p). Calculate the remainder when (4 - 12/4) + 0 is divided by i(0).
0
Suppose 3*i + m + 1 - 11 = 0, i + 3*m = -2. Let a = i - 3. What is the remainder when 1 is divided by a?
0
Let g(y) = 9*y**2 + y. Let m be g(-2). Suppose m = 2*p + 10. Calculate the remainder when 33 is divided by p.
9
What is the remainder when (-169)/(-2) - (-9)/(-6)*1 is divided by 29?
25
Suppose -4*a = -2*s - 78, a - 6*a + 99 = -s. Calculate the remainder when ((-232)/(-14))/(32/112) is divided by a.
18
Let h = -5 + 1. Let j = h - -17. What is the remainder when 25 is divided by j?
12
Suppose 38 = 7*u - 18. Let v(z) = z**3 - 8*z**2 + 5*z - 2. Let y be v(3). Let l = y - -46. What is the remainder when l is divided by u?
6
Let n(w) = -w**2 - 10*w - 8. Let u = -3 + -4. What is the remainder when 38 is divided by n(u)?
12
Let g(l) = 13*l**2 - 4*l + 4. Calculate the remainder when 21 is divided by g(1).
8
Suppose -6 = -2*u, -4*g - 7 = -3*u - 26. Suppose -3*f = -7*f. Suppose -b + f*b = -12. What is the remainder when b is divided by g?
5
Suppose -6*z + 200 = -z. Suppose 4 - z = -4*b. Let j = -38 - -63. What is the remainder when j is divided by b?
7
Let y(x) = 4*x**3 - 2*x**2 - 2*x + 4. Let d(c) = 5*c**3 - c**2 - c + 3. Let i(r) = -3*d(r) + 4*y(r). What is the remainder when 36 is divided by i(6)?
10
Let j(m) = m**3 + 3*m**2 - 3*m + 2. Let b be j(-3). Let x = -1 + b. What is the remainder when ((-12)/x)/((-3)/45) is divided by 10?
8
Let d = 10 + -5. Suppose -d*f + 11 = -2*q + 100, 4*q - 3*f - 185 = 0. What is the remainder when q is divided by 16?
15
Suppose 0*q - 5*q = 0. Let u(v) be the second derivative of -v**5/20 + 49*v**2/2 + 15*v. What is the remainder when u(q) is divided by 13?
10
Suppose q - 3*q - g = 0, q - 3*g = 7. Calcu