
Let r(z) = z**3 + z**2 + 19. Calculate the remainder when 54 is divided by r(0).
16
Let h = -20 - -13. Suppose 0 = 4*p, -40 = -2*n - p - 10. Let u = n + h. Calculate the remainder when u is divided by 3.
2
Let u = 13 - 9. Let b(i) = i**3 - 3*i**2 + i - 4. What is the remainder when b(u) is divided by 6?
4
Let g(o) = 3*o**2 - o - 2. Let l be (-12)/(-8)*(-2 + 4). Calculate the remainder when 64 is divided by g(l).
20
Suppose 0 = w - 24 + 6. Suppose -k + w = 4. What is the remainder when k is divided by 5?
4
Let d be ((-4)/(-5))/((-3)/(-105)). Suppose n = 3*n - d. What is the remainder when 53 is divided by n?
11
Let k(o) = o**2 - 5*o. Let b be k(7). Let a = -6 + b. What is the remainder when 13 is divided by a?
5
Let a = 13 + 0. Calculate the remainder when 50 is divided by a.
11
Let t be (-2 + (-8 - -2))/(-1). Let s be t/3*3/2. Suppose 3*f = s*n - 0*f - 56, 2*f + 77 = 5*n. What is the remainder when n is divided by 6?
5
Suppose 0*t - 108 = -4*t. Calculate the remainder when 80 is divided by t.
26
Let c = 62 + -52. What is the remainder when 12 is divided by c?
2
Suppose -2*w + 15 = -1. Suppose -5*p + 3*s + 159 = 0, -3*p + 3*s + 109 = w*s. What is the remainder when p is divided by 12?
9
Suppose -3*x + 4*d = -86, 4*d = -4*x + 3 + 149. Calculate the remainder when x is divided by 18.
16
Suppose -t = -5 + 22. What is the remainder when t/(3 + (-20)/6) is divided by 13?
12
What is the remainder when 2 - (-4)/(-1) - -25 is divided by ((-16)/(-6))/((-10)/(-30))?
7
Let c(l) be the second derivative of l**4/12 - 2*l**3/3 - l**2/2 - l. Let q = 17 - 11. What is the remainder when 20 is divided by c(q)?
9
Let f(o) = 5 + 0 + 3*o - 4. Let g = 11 + 17. What is the remainder when g is divided by f(3)?
8
Suppose -73 = -4*w + 5*o, -5*o - 15 = -2*o. What is the remainder when 34 is divided by w?
10
Let w(y) = -2*y + 7. Calculate the remainder when ((-6)/(-15))/(3/270) is divided by w(-6).
17
Let b = -7 - -9. Let s be -1 + b + (-2)/(-2). Suppose s*z = 3*z - 8. Calculate the remainder when 22 is divided by z.
6
Let j(g) = g**2 + g. Let k(q) = 5*q**2 + q - 1. Let a(x) = -2*j(x) + k(x). Calculate the remainder when a(-1) is divided by (-24)/(-14) + 4/14.
1
Suppose 0 = -4*i + 5*i + o - 78, 2*o = -5*i + 375. Calculate the remainder when i is divided by 11.
7
Suppose 103 + 125 = 4*x. Let o(g) = -g + 12. What is the remainder when (-4)/10 - x/(-5) is divided by o(6)?
5
Suppose -41 = -4*f + z, f - z = -2*z + 4. What is the remainder when 42 is divided by f?
6
Let y = 41 - 2. Calculate the remainder when y is divided by 14.
11
Suppose 12*z = 7*z. Suppose -v - 2*p + 3*p + 24 = z, 2*p - 62 = -3*v. Calculate the remainder when 42 is divided by v.
20
Let z = -8 - -15. What is the remainder when z is divided by 4?
3
Suppose -3*x = x - 104. Suppose -7 = -q + x. What is the remainder when q is divided by 9?
6
Let q = 5 + -1. Suppose -l = -q*l + 6. Let o = -9 + 13. What is the remainder when o is divided by l?
0
Suppose -2*p + 0*p = -250. Suppose -2*l = -2*a + 42 + 42, -3*a + 4*l = -p. Let v(r) = r**2 - 3*r + 5. Calculate the remainder when a is divided by v(5).
13
Let l = 36 - 24. Suppose -2*j = a - 53, -3*j + 2*a - 7*a = -97. Let i = j + -2. What is the remainder when i is divided by l?
10
Let c = -15 + 34. Suppose -k = 2*w - 69, 163 = 4*w - 3*k - 0*k. Calculate the remainder when w is divided by c.
18
Let k = 30 + -14. Calculate the remainder when 29 is divided by k.
13
Let z(h) = h - 2. Let d(p) = -4*p + 5. Let y(t) = -6*d(t) - 17*z(t). Suppose 12 = 3*q - 3. Calculate the remainder when y(q) is divided by 20.
19
Suppose m + 0*m - 2 = 0. Suppose 75 = 5*g + 4*n, -2*g - 3*n = m*n - 30. Calculate the remainder when -1 + (1 - 3) + 31 is divided by g.
13
Suppose 0 = 2*i - 12 - 4. Calculate the remainder when 12 is divided by i.
4
Let f(s) = 16*s - 21. What is the remainder when f(6) is divided by 26?
23
Let z(s) = 3*s**2 + 5*s + 2. What is the remainder when z(-5) is divided by 11?
8
Let d(c) = -c**2 + 4*c + 1. Let n(j) = -j - j - 7 + 2*j + j**2 + 3*j. Calculate the remainder when d(3) is divided by n(-5).
1
Suppose 5*d - 132 - 8 = 0. Suppose -3*m + x + 0*x = -29, -36 = -4*m + 4*x. What is the remainder when d is divided by m?
8
Suppose 5*m = 7*m - 16. Let i = -26 + 56. What is the remainder when i is divided by m?
6
Let c(x) = -x**2 + 7*x - 8. Let q be c(7). Let d = -4 - q. Suppose 6*l = d*l + 16. What is the remainder when 15 is divided by l?
7
Let b(y) = -3*y + 1. Suppose -5*m = 0, -m - 3*m + 4 = i. Let h(z) = 7*z - 2. Let d(s) = i*h(s) + 10*b(s). Calculate the remainder when 17 is divided by d(-4).
7
Let u(k) = -2*k + 6. Calculate the remainder when 32 is divided by u(-6).
14
Suppose 0 = -5*m + 59 + 21. Calculate the remainder when m is divided by 6.
4
Suppose 0 = 3*s - 2 - 4. Suppose i = -s*i + 138. What is the remainder when i is divided by 16?
14
What is the remainder when (-2)/((-4 - -5)*1/(-79)) is divided by 32?
30
Let k be 9 + ((-3)/1 - -1). Let j(s) = -s**2 + 11*s - 9. Suppose -5*z = -p + 2*p - 31, -44 = -4*z + 4*p. Calculate the remainder when j(k) is divided by z.
5
Calculate the remainder when 188 is divided by -19*(-4 - (-6 + 4)).
36
Let d = 182 + -144. What is the remainder when d is divided by 13?
12
Suppose -9*b + 12 = -6*b. Calculate the remainder when 6 is divided by b.
2
Let v be (10/(-6))/(3/(-9)). Suppose 0*h + 3*h + v*c = 71, 5*h = c + 137. Suppose -2*y + 31 = -h. Calculate the remainder when y is divided by 10.
9
Suppose 4*p - 5*h - 109 = 0, -4*h + 1 = p - 0. What is the remainder when 60 is divided by p?
18
Let y = 6 - 1. Suppose -y*n = -0*n + 3*z + 51, n + 5*z = 3. Let x = 17 + n. What is the remainder when 14 is divided by x?
4
Let u(t) = t**3 - 8*t**2 + 6*t + 9. Let s be ((-7)/(-5))/((-9)/(-45)). What is the remainder when 2 is divided by u(s)?
0
Suppose w + o = 3*o - 7, w + 2*o = -7. Let l = 20 + w. What is the remainder when l is divided by 4?
1
Suppose -2*n - 76 = -5*d + n, -n = -3*d + 48. Let v(c) = 2*c - 12. Let m = 31 + -22. What is the remainder when d is divided by v(m)?
5
Suppose -3*l + 0*l = -15. Suppose 3*k = -5*y + 29, -y + 0 = k - l. Let d = 38 - y. Calculate the remainder when d is divided by 16.
15
Let r(m) = m**3 + 4*m**2 - 7*m. What is the remainder when 35 is divided by r(-5)?
5
Suppose r - 3*r + 15 = 3*t, 5*r - 5*t = 50. Let u(a) = 3*a - 2. Calculate the remainder when u(6) is divided by r.
7
Calculate the remainder when (1/2)/(23/966) is divided by 12.
9
Let f(r) = r - 13. Let a be f(0). Let q = a + 34. Suppose -99 - q = -3*b. What is the remainder when b is divided by 14?
12
Let b = -1 + 4. Suppose b*a + 3*g = 180, -5*g - 107 = -5*a + 213. What is the remainder when a is divided by 16?
14
Suppose 0*h + 3*l - 48 = -2*h, 0 = -5*l. Suppose -2*i + 17 + 9 = 0. Calculate the remainder when h is divided by i.
11
Calculate the remainder when 85 is divided by (-12)/4 + 12 + -1.
5
Suppose -3*a - 108 = 5*r + 7, -2*a - 120 = 5*r. Let n = r + 40. Calculate the remainder when 39 is divided by n.
11
Let z = 9 - -3. Suppose 0 = -3*y + 2*v + 82, 0 = -4*y + 5*v + 34 + 73. Let k = y + -21. Calculate the remainder when z is divided by k.
5
Let s(l) = -6*l - 4. Let i be s(-4). Suppose -a = -2 - i. Calculate the remainder when a is divided by -5*((-108)/(-20) + -7).
6
Suppose n + 72 = 5*r, 7*n = 4*r + 2*n - 66. What is the remainder when 27 is divided by r?
13
Let d = 8 - -9. Suppose d = -4*r + 73. What is the remainder when 39 is divided by r?
11
Let t(a) = a**3 - 6*a**2 + a + 8. Calculate the remainder when 51 is divided by t(6).
9
Suppose 3*v - 4 = 2. Suppose 27 - 1 = v*d. Calculate the remainder when 23 is divided by d.
10
Let z(s) = -s**3 + 7*s**2 + 2*s + 3. Let v be z(7). Suppose -j + v = 1. Calculate the remainder when j is divided by 9.
7
Let c(k) = -3*k - 5. Suppose -3*x + 8*x + 17 = -l, -15 = -5*l. Calculate the remainder when 19 is divided by c(x).
5
Let l(w) = -3*w + 11. Calculate the remainder when l(-10) is divided by 11.
8
Suppose 5*v = -32 + 142. What is the remainder when v is divided by 14?
8
Let o(m) = 49*m - 4. Let q be o(4). Suppose -2*r = -0*r + 2*g - q, -468 = -5*r - g. What is the remainder when r is divided by 24?
21
Let b = 20 - 17. What is the remainder when 11 is divided by (6/b)/((-4)/(-14))?
4
Suppose -i - h + 3 = -0*