ate the remainder when 21 is divided by f(-5).
10
Suppose 0*n + 72 = 6*n. Calculate the remainder when 23 is divided by n.
11
Suppose -i = -3*u - 23, 10*i = 5*i - 5*u + 155. Calculate the remainder when i is divided by 15.
14
Let y = -22 + 10. Suppose c + 2*h - 1 = 5, -40 = 5*c - 4*h. What is the remainder when (y/8)/(2/c) is divided by 1?
0
Let i = -44 + 77. Suppose -172 = -4*m - 2*v, 3*v - i = -m - 0*v. What is the remainder when m is divided by 23?
22
Let a(u) = -u**2 - 23*u - 30. Let h = -84 - -164. Let r = -46 + h. Calculate the remainder when r is divided by a(-21).
10
Let k(b) = -b**2 + b - 4. Let o be k(-3). Let y = o + 20. Calculate the remainder when 6 is divided by y.
2
Suppose 0 = 7*n - 659 - 132. What is the remainder when n is divided by 39?
35
Suppose -3*q = -5*q + 24. Calculate the remainder when 23 is divided by q.
11
Let s be (22/8)/(2/(-8)). Let j = s + 10. What is the remainder when (3 - j) + 10 + -10 is divided by 2?
0
Let r(p) = p - 3. Let x be r(9). Let n = x - -1. Suppose -3*h + 7 = -47. Calculate the remainder when h is divided by n.
4
Let v be 2 - 0 - (15 - 7). Let i = v - -8. Let b(z) = z**3 + 3*z**2. What is the remainder when b(-2) is divided by i?
0
Suppose -2*p = -3 - 1. Suppose 5*c - 4*s - 66 = 0, -c - p*s = -3*c + 28. What is the remainder when 20 is divided by c*(-2)/(-4) - -2?
6
Let s(d) = 8*d**2 - 4*d + 3. Suppose -2*a - 18 = -u, -5*u + a + 55 + 17 = 0. Calculate the remainder when s(2) is divided by u.
13
Let k(a) = 11*a + 3. Calculate the remainder when 46 is divided by k(1).
4
Let o be 45/6*4/6. Let c(t) be the second derivative of t**3/6 - t**2/2 - 4*t. Calculate the remainder when 7 is divided by c(o).
3
Suppose 3*y = 3*c - 18, c - 4*y - 18 = y. What is the remainder when c is divided by 3?
0
Suppose 2*z = 43 - 1. Suppose 4*d - 4*y - 332 = 0, -6*d + 249 = -3*d - 2*y. Calculate the remainder when d is divided by z.
20
Suppose -2*v + 5 = 3*r, -35 + 12 = -2*v + 3*r. Calculate the remainder when 18 is divided by v.
4
Suppose 4*l + i + 0 = 11, 4 = -4*l - 4*i. Suppose -l*j = -3*j - 11. What is the remainder when 30 is divided by j?
8
Suppose -5*f + 87 = -3*n, 2*f - n = -0*n + 34. Let j(z) = 22*z. Calculate the remainder when j(2) is divided by f.
14
Let f = 287 + -157. What is the remainder when f is divided by 33?
31
What is the remainder when 4 is divided by (9/(-9))/((-2)/6)?
1
Suppose 5*g + 40 = 10*g. Calculate the remainder when 8/20 - (-113)/5 is divided by g.
7
Suppose -z = -3*b + 77, -31 = b - 2*b - z. Calculate the remainder when b is divided by 15.
12
Suppose -3*i = q - 16 - 7, 5*q - 97 = 3*i. Calculate the remainder when 78 is divided by q.
18
Suppose 0 = 3*l + 2*l - 25. Suppose 0*r + 5 = l*r. What is the remainder when 102/4 - r/2 is divided by 9?
7
Suppose -5*m + 19 = i, -104 = -3*i - m - 33. Calculate the remainder when 77 is divided by i.
5
Let d = -41 + 71. What is the remainder when d is divided by 19?
11
Let m(i) = i**2 + 8*i - 1. Let u be m(-5). Calculate the remainder when (8/u)/((-2)/76) is divided by 10.
9
Suppose 45*l - 41*l - 84 = 0. Suppose 3*q - 4*c = 5*q - 12, 4*q - 51 = c. Calculate the remainder when l is divided by q.
9
Let c(a) = a + 4. Let l be c(-3). Let y be (l + 74/4)*2. What is the remainder when (-2)/(-1 + 33/y) is divided by 7?
6
Suppose 5*c + 39 = l, -5*l + l + 102 = -2*c. Calculate the remainder when (-47)/(0 + -1) + -1 is divided by l.
22
Suppose 0*f - 35 = -5*f. What is the remainder when 18 is divided by f?
4
Suppose -5*q + 31 = -29. Calculate the remainder when q is divided by 6.
0
Let b be 0/(-5 + 2) + -117. Calculate the remainder when b/(-5) + (-21)/(-35) is divided by 13.
11
Let d = 70 - 49. Suppose 2*o = 23 + d. Calculate the remainder when o is divided by 3/(-9) - 25/(-3).
6
Suppose -4*o + 0*o - 60 = 0. Let l = o + 33. Suppose 2*j + 44 = 3*m, 2*m = m - j + l. What is the remainder when 46 is divided by m?
14
Let o = -80 - -91. Let q(i) = i**3 + 6*i**2 - 2*i + 7. What is the remainder when q(-6) is divided by o?
8
Let q(l) be the second derivative of 1/6*l**3 - 4*l + l**2 + 0. Calculate the remainder when 14 is divided by q(3).
4
Let a be 5 + 2/(3 - 5). Suppose -3*l + a*l = 16. Calculate the remainder when 31 is divided by l.
15
What is the remainder when 18 is divided by 4/(-22) + (-92)/(-22)?
2
Let a be (40/(-6))/((-8)/(-48)). Let t = -22 - a. What is the remainder when t is divided by 8 - ((4 - 2) + -1)?
4
Suppose 2*k = -3*b - 7, -b - 4*k + 6 = -5*k. What is the remainder when 17 is divided by 0 - ((b - 10) + 0)?
8
Suppose -35 = -5*t - a, -3*a - 11 = -5*t + 4. Suppose -3*r + t = 3. What is the remainder when 1 is divided by r?
0
Let c(h) = 10*h**2 + 1. Suppose f - 6*f + 2*x + 444 = 0, -x + 438 = 5*f. What is the remainder when c(-1) is divided by 600/f - (-4)/22?
4
Let q = 120 + -94. Calculate the remainder when 47 is divided by q.
21
Suppose 2*k - 37 = 3*v, 5*v + 105 = -0*k + 5*k. Calculate the remainder when k is divided by 3.
2
Suppose -1 = -o + 14. Calculate the remainder when 44 is divided by o.
14
Let z(i) = -i**3 - 8*i**2 - 7*i + 6. Calculate the remainder when 2 + (-165)/(-12) + 6/24 is divided by z(-7).
4
Let n(s) = 13*s**3 + 17*s**2 + 8*s. Let b(f) = -3*f**3 - 4*f**2 - 2*f. Let l(a) = 9*b(a) + 2*n(a). What is the remainder when 28 is divided by l(-3)?
13
Suppose -5*z + 5*o + 95 = 0, 20 = -5*z + 2*o + 106. Let b = -3 + 3. Suppose b = -3*w - 2*w + 30. Calculate the remainder when z is divided by w.
4
Let k = -96 - -324. What is the remainder when k is divided by 23?
21
Let v be 0 + 2/((-4)/2). Let l = 2 - v. Suppose -2*q + 35 = l*q. What is the remainder when q is divided by 3?
1
Let a be (4/6)/(1/6). Suppose a*r - 90 = -5*c, 4*r - 6*c + c - 70 = 0. Calculate the remainder when 38 is divided by r.
18
Let r be (-22)/(-10) + 1/(-5). Suppose 0 = 2*u - 6 - r. Let h(q) = q**2 - 9*q + 6. Calculate the remainder when h(9) is divided by u.
2
Suppose -5*k - 49 = -3*b, -24 = 4*b + 2*k - 124. Let p = 28 + b. What is the remainder when p is divided by 13?
12
Suppose 5*g - 1 = 9. Let m = 2 - 4. Calculate the remainder when g is divided by -6*((-5)/(-3) + m).
0
Suppose 0*c - 3*i + 53 = c, -5*i = c - 45. What is the remainder when c is divided by 17?
14
Let w(u) = u**3 - 9*u**2 + u - 4. Let h be w(9). Suppose k + 1 = h, 0 = -4*z + 4*k + 24. Calculate the remainder when z is divided by 4.
2
Let p(n) = n**2 - 3*n - 6. What is the remainder when 14 is divided by p(5)?
2
Let i(k) = k**2 - 4*k + 28. Calculate the remainder when i(16) is divided by 32.
28
Let v(z) = -3 - 6*z - 5 - z**2 + 5. What is the remainder when 16 is divided by v(-3)?
4
Suppose z + z - 14 = 0. Suppose 18 = -2*u + 3*u. Let p = u + 2. Calculate the remainder when p is divided by z.
6
Suppose 4*p - 3*w + 1 = -2*w, -5*p - 5*w = -5. Suppose b + b - 50 = p. Suppose 4*f + 4 = 56. What is the remainder when b is divided by f?
12
Suppose 4*z - 14 = 18. Let q = 26 + z. Suppose -3*k - q = -5*k. Calculate the remainder when k is divided by 9.
8
Calculate the remainder when 56 is divided by (-6308)/(-209) - (-2)/(-11).
26
Suppose 5*i = 6*i - 19. Calculate the remainder when i is divided by 5.
4
Let f(w) = -w**3 - 6*w**2 - 5*w + 5. Let t = 102 + -95. Calculate the remainder when t is divided by f(-5).
2
Suppose 4*s - 189 = -17. Suppose -h + 2 + 3 = 0. Suppose -22 = h*q - 6*q. Calculate the remainder when s is divided by q.
21
Let u(t) = 2*t**2 - 4*t - 1. Let h be u(3). Suppose -7 - h = -r. What is the remainder when 46 is divided by r?
10
Let b be ((-4)/(-6))/((-3)/(-9)). Let g = -2 + 5. Suppose x - o = -b*o - 2, 4*x + 4 = -g*o. Calculate the remainder when x is divided by 1.
0
Suppose -3*q + 16 = -q. What is the remainder when 15 is divided by q?
7
Calculate the remainder when 0 - 4/((-4)/27) is divided by 8.
3
Let k = -3 + 13. Let l = k + -4. Let j(m) = -m**2 + 8*m - 4. Calculate the remainder when 22 is divided by j(l).
6
Let k(s) = s**3 + 11*s**2 + 9. Let x = 141 - 46. Suppose -5*d = -3*n + x, -2*n - 2*d - 33 = -3*n. Calculate the remainder when n is divided by k(-11).
7
Let u = -150 + 212. Calculate the remainder when u is divided by 16.
14
Suppose 0*w = -w + 37. Let o = 1 - -2. Suppose 3*b - 31 = -3*d - b, -o*b - 32 = -2*d. What is the remainder when w is divided by d?
11
Let z(v) = -12*v**3 - 2*v**2 