5 = c*y - 8. Calculate the remainder when 31 is divided by y.
9
Suppose -13*z + 220 = -2*z. What is the remainder when 35 is divided by z?
15
Let b = -15 - -17. Suppose t - 47 = -b*c, 2*t = -2*c - 23 + 71. What is the remainder when 67 is divided by c?
21
Suppose -2*k - 3*k = -85. Calculate the remainder when 67 is divided by k.
16
Let b(r) = 13*r**3 - 1. What is the remainder when 31 is divided by b(1)?
7
Let z(f) = f**2 - 2*f + 2. Let v be z(4). Let j = v - 4. Let y(k) = -k**3 - 13*k**2 + 16. Calculate the remainder when y(-13) is divided by j.
4
Suppose -2*r + 6 = -10. Let l(q) = 4*q**2 + 3*q + 3. What is the remainder when l(-3) is divided by r?
6
Let b be (-6 + 5)/((-2)/(-8)). Calculate the remainder when (-140)/(-2)*(-2)/b is divided by 12.
11
Suppose 0*c - 129 = -3*c. What is the remainder when 213 is divided by c?
41
Suppose -5*k + 6 + 19 = 0. Let f(u) = 21*u**2 - 20*u**2 - 2 - 2*u + 3. What is the remainder when 46 is divided by f(k)?
14
Let n(o) = -o. Let v be n(-5). Let z(m) = -7*m - 6*m**2 - 2 - v + 5*m**2. What is the remainder when 8 is divided by z(-5)?
2
Suppose 3*c + 0*z = -z + 16, z - 4 = 0. Suppose -11*d + 40 = -7*d. Calculate the remainder when d is divided by c.
2
Let n(a) = a**3 + 2*a**2 + 2*a - 3. What is the remainder when 31 is divided by n(2)?
14
Let o(x) be the second derivative of -x**3/2 - 2*x**2 + 2*x. What is the remainder when o(-3) is divided by 2?
1
Suppose 4*o + 3*v = 206 - 75, 5*v + 91 = 4*o. Let n = 22 - 33. Let t = n + 26. What is the remainder when o is divided by t?
14
Suppose i = 3*i - 42. Suppose 0 = 4*k - 27 - i. What is the remainder when 23 is divided by k?
11
Calculate the remainder when 2/(-5) - (-936)/15 is divided by (2*7)/(24/36).
20
Let d(y) = 2*y**2 + 12*y + 25. What is the remainder when 20 is divided by d(-3)?
6
What is the remainder when 19 is divided by (1 + -4 + (-63)/(-6))*2?
4
What is the remainder when 24 is divided by (-2)/9 + -249*3/(-81)?
6
Let i be -1*3/((-6)/8). Suppose -224 = -11*d + 3*d. Calculate the remainder when d is divided by -1 + (-2)/i*-22.
8
Let y be (-57)/(-18) - 1/6. Calculate the remainder when (122/y)/((-4)/(-6)) is divided by 16.
13
Let w = 1 - -6. What is the remainder when 27 is divided by w?
6
Let v be (-16)/(-6) + 2/6. Let n = v - -4. Suppose 0 = -4*q + 2*p - 39 + 125, 0 = -2*p - 6. What is the remainder when q is divided by n?
6
Let t = -281 - -405. Calculate the remainder when t is divided by 42.
40
Let k(r) = 2*r + 7. Let x be k(-5). Let i = 9 + x. Suppose 3*f = z - i, -5*z - 2*f + 3 = -112. What is the remainder when z is divided by 12?
9
Suppose 5*z = 0, -5*r + 0*r - 5*z = -295. Calculate the remainder when r is divided by 21.
17
Suppose 0*q + q + 3*x = 3, 4*x - 16 = 0. Let b = 21 + q. Let z(o) = o**2 - 10*o - 12. What is the remainder when 35 is divided by z(b)?
11
Let p = -4 + -7. Let o = p + 28. Let b = -8 + 14. Calculate the remainder when o is divided by b.
5
Suppose y - 57 = 2*y. What is the remainder when 6/(y/(-24) - 2) is divided by 9?
7
Suppose -20 = 5*z, -2*d + 32 = -5*z - 0*z. What is the remainder when 29 is divided by d?
5
Let c = -18 + 28. Suppose -26 = y + 2*f, -6*f + 4 = -2*f. Let g = y + 56. Calculate the remainder when g is divided by c.
8
Suppose 0 = c - 2*c + 4. Suppose 5*x - 11 = -3*n, c*n - 30 = -3*x + 4*x. Let g = 40 + -20. Calculate the remainder when g is divided by n.
6
Let f = -37 + 16. Let a be (-4)/(-6) - f/9. Suppose 3*k = l - 23, 0*k - 2*k = a*l - 69. Calculate the remainder when l is divided by 8.
7
Let p(h) = -3*h + 75. Calculate the remainder when p(14) is divided by 12.
9
Let o = 1 + 0. Let j = o + 2. Calculate the remainder when j is divided by 2.
1
Let z be 1035/6 - (-2)/4. Let k = z - 98. What is the remainder when k is divided by 19?
18
Let r(z) = -z**3 + 9*z**2 + 10*z + 9. Let g(s) = s + 1. Let a be g(9). Calculate the remainder when r(a) is divided by 6/(1 + (-2)/(-2)).
0
Suppose 3*r = 15, 8*r = 3*z + 4*r + 26. Let t(l) = -4*l**3 + 4*l**2 + 4*l + 3. Calculate the remainder when t(z) is divided by 11.
10
Let z(j) = 2 + 4*j - 3*j**3 + 1 + 2*j**3. Calculate the remainder when z(-2) is divided by 2.
1
Let z = 14 - 5. Calculate the remainder when 33 is divided by z.
6
Let z = -107 + 142. What is the remainder when z is divided by 18?
17
Let y = -21 - -34. Suppose 5*t - 3*t = 14. Calculate the remainder when y is divided by t.
6
Suppose 0 = -2*m - w + 18, -4*m + 4*w = 3 - 51. Suppose 0*k - k + m = 0. Let i = k - -4. Calculate the remainder when i is divided by 8.
6
Let b = -1 - -3. Let o(d) = -2*d + d**2 + d + b - d - 1. What is the remainder when 17 is divided by o(-2)?
8
Let d = 8 + 0. Suppose -3*t + 3*c = -81, 2*t - 5*c = 4*t - 19. Calculate the remainder when t is divided by d.
6
Let u = 14 - 8. Let f be ((-4)/u)/(2/(-12)). Suppose f*j = -0*j + 44. What is the remainder when j is divided by 6?
5
Let t = -26 + 51. What is the remainder when t is divided by 14?
11
Let k(g) = g**3 + 9*g**2 - 18*g - 5. Calculate the remainder when k(-9) is divided by 53.
51
Let c be (-3)/9 - 31/(-3). Let p be ((-16)/c)/(8/(-20)). Suppose p*m - 3*t - 7 = -0, -4*m = 2*t - 2. Calculate the remainder when m is divided by 1.
0
Let z(p) = p**3 + 7*p**2 - 7*p + 11. Let c be z(-8). Suppose 2*m + u = 35, c*u = 3*m - 5*m + 41. What is the remainder when m is divided by 9?
7
Suppose -4*n + 15 + 25 = 0. Let g = 15 - 9. What is the remainder when n is divided by g?
4
Let d = 122 - 109. What is the remainder when 24 is divided by d?
11
Let x(u) = 6*u - 9. Let b(w) = -w**2 - 10*w - 10. Let i be b(-8). Suppose 34 = 2*r + i. What is the remainder when x(6) is divided by r?
13
Let b = -56 + 100. Calculate the remainder when b is divided by 23.
21
Let s(b) = -b**2 - 5*b + 1. Let n be s(-4). Suppose -x = -n*j + 219, 10*j - 5*j - 5*x = 215. Calculate the remainder when j is divided by 9.
8
Suppose 5*r = -2*j - j + 45, 2*r - 34 = 2*j. What is the remainder when 35 is divided by r?
11
Suppose -44 - 31 = -5*t. Let p(m) = -6*m + 2. What is the remainder when t is divided by p(-1)?
7
Suppose 0 = -5*f + 2*u - 12 + 189, u = -5*f + 189. Calculate the remainder when 106 is divided by f.
32
Suppose 5*x - 16*x + 33 = 0. Let f = -12 + 18. Suppose -2 = -y - 3, 4*j = -2*y + f. What is the remainder when x is divided by j?
1
Let h(y) = -y**3 - 8*y**2 - 9*y - 4. What is the remainder when 5/(30/(-12)) + 31 is divided by h(-7)?
9
Let y(w) = -w - 3. Suppose 3*c - 4*v - 27 - 44 = 0, -4 = -4*v. Calculate the remainder when c is divided by y(-12).
7
Let x(a) = 2*a - 12. Suppose b - 6 = 5. Suppose n = 3*q - 0*q - 86, -3*q + 3*n = -84. What is the remainder when q is divided by x(b)?
9
Let b = 6 - 4. Let v = -9 - -15. What is the remainder when v is divided by b?
0
Suppose g + 0*m + 2*m - 3 = 0, 5*g = -5*m + 20. Suppose -2*j = g*v - 77, 3*j - 165 = -j + v. Calculate the remainder when j is divided by 4/(0 - 2/(-7)).
13
Let x = 18 + -9. Let l be 3/2 + (-3)/6. Let q = l - -15. What is the remainder when q is divided by x?
7
Let g(q) = q**3 - 8*q**2 + 7*q + 7. Let c(k) = k**3 + 5*k**2 - 6*k + 2. Let t be c(-6). Calculate the remainder when t + -2 - (-57)/3 is divided by g(7).
5
Let g(q) = -q - 2. Let z be g(6). Let j = z - -13. Suppose 3*c = -3*d - 2*c + 47, j*c - 20 = 0. Calculate the remainder when 35 is divided by d.
8
Let k = -6 - -4. Let p be 14 + (k - -3 - 4). Let h = 22 - p. What is the remainder when 20 is divided by h?
9
Suppose t - 4*t = 6, 4*o + 5*t - 94 = 0. Calculate the remainder when 102 is divided by o.
24
Let i be 3757/39 - (-2)/(-6). What is the remainder when 90 is divided by -1 - i/(-4 - 0)?
21
Let a be (-216)/(-21) - 6/21. Suppose 5*c - 40 + a = 0. Calculate the remainder when 34 is divided by c.
4
Let p(z) = -20*z - 1. Calculate the remainder when p(-1) is divided by -3*1*(-10)/3.
9
Let n(u) = 12*u**3 - 2*u**2 - u + 1. Let h be n(1). Let s(q) = -3*q + 1. Let a be s(3). Let k = h + a. What is the remainder when 5 is divided by k?
1
Let l be (-37)/(-7) + 12/(-42). Suppose z + 4*z = l. Let g(q) = q**3 - 5*q**2 + 4*q + 2. What is the remainder when g(4) is divided by z?
0
Let r(g) = g**2 - 3*g. Let b(f) = f**2 - 12*f + 15. Let d be b(11). What is the remainder when 11 is divided by r(d)?
3
Suppose -4*d = 4*d - 1064. Calculate the remainder when d is divided by