 - 3. Let o be f(6). Let y = 5 + -2. Suppose y*n + 41 = 5*t, o*n = 5*t - n - 38. Calculate the remainder when t is divided by 6.
4
Suppose -2*f + 0*f + 68 = 5*u, 2*u + f = 27. Suppose 0 = -2*s - s + b + 85, -b + 104 = 4*s. Calculate the remainder when s is divided by u.
13
Suppose 18 = 4*z - 122. Suppose 0 = 5*v - 41 - 24. Calculate the remainder when z is divided by v.
9
Let p(r) = r**3 - 3*r**2 + 7*r - 4. Let f(z) = z**3 + 7*z**2 - 7*z + 11. Let y be f(-8). What is the remainder when p(y) is divided by 5?
2
Let c(s) = 7*s + 1. Let y be c(2). Suppose -y = -4*d - d. Calculate the remainder when -3*4/(-6) + 5 is divided by d.
1
Let s be 6/4*(-10)/(-3). Suppose -s*w - 8 = -23. Suppose 0 = -w*k + l + l + 1, 2*k + 3*l = 18. Calculate the remainder when 4 is divided by k.
1
Let r = -26 + 30. Suppose 0 = -5*k - 2*i + 332, 2*k + r*i - 130 = 6*i. Calculate the remainder when k is divided by 23.
20
Let p(g) = g**3 + 5*g**2 + 3*g. Let d be p(-2). Suppose -l = -d*l + 70. Let x(z) = -z**3 + 5*z**2 - 4*z + 2. Calculate the remainder when l is divided by x(3).
6
Let y(b) = -7*b. Calculate the remainder when 4*3/(-12)*-26 is divided by y(-2).
12
Let l = 37 - 18. Suppose 2*u - 119 = -7*z + 2*z, 2*z - 5*u - 36 = 0. Suppose 3*b - z = 7. What is the remainder when l is divided by b?
9
Let s = -6 - -11. Suppose 0 = 2*x - s*g - 47, -2*x + 2*g + 107 = 3*x. What is the remainder when 60 is divided by x?
18
What is the remainder when ((-34)/(-6) - 3)*135/20 is divided by 11?
7
Let a be -4 - (-2 - (-1 - -129)). Suppose -3*d + a = -o, 0*d - 2*o = 4*d - 178. What is the remainder when d is divided by 22?
21
Let f(x) = -4*x**3 - 2*x - 4. Calculate the remainder when f(-2) is divided by 11.
10
Let w(f) = -f**3 + 8*f**2 - 11*f + 6. Calculate the remainder when 59 is divided by w(6).
11
Suppose 7 = o + 3, -2*x - 2*o + 30 = 0. Let a = 21 - x. Suppose 0*g = 2*g + a, -5*g + 60 = 5*n. What is the remainder when 49 is divided by n?
15
Let k = 45 - 43. Suppose -2*y - 6 = 0, -4*q - y + 8 = -5*y. What is the remainder when q - (0 + (-8)/2) is divided by k?
1
Suppose 4*t + 12 = 0, -2*o = -o + 3*t - 7. What is the remainder when 73 is divided by o?
9
Suppose 0 = -s + 3*s - 76. Calculate the remainder when s is divided by 10.
8
Suppose 3*l + 3 = 2*h, -l - 5*h + 8 = -8. Suppose 3*j + 4*p = j + 20, -5*j + 63 = -3*p. Calculate the remainder when l/((-4)/(-2))*46 is divided by j.
11
Let s(n) = 11*n + 14. Let r(u) = -10*u - 13. Let b(c) = -7*r(c) - 6*s(c). Calculate the remainder when b(9) is divided by 15.
13
Suppose 5*f + 4*d + 0*d - 68 = 0, 3*f + 5*d - 33 = 0. What is the remainder when f is divided by 6?
4
Let g(k) = -k + 2. Let z be g(1). Suppose -4*j + 21 = z. Suppose -3*y - 72 = -j*y. What is the remainder when y is divided by 13?
10
Suppose 0*s + 3*s - 9 = 0. Suppose -5*w + 17 = -s. Calculate the remainder when w is divided by 2.
0
Let u be 1/5 - 453/15. What is the remainder when (-2)/3 + (-236)/(-12) is divided by (3/(-9))/(1/u)?
9
Suppose 4*v - 3*s = -15, -v + 5*v + s = -27. What is the remainder when 64/3*(-3 - v) is divided by 22?
20
Let k = -6 + 1. What is the remainder when 31 is divided by (-53)/k + (-2)/(-5)?
9
Suppose 0*i = -3*i + 5*n + 27, 3*n = 4*i - 36. Suppose -b - 5 = -3*z, 5*z - 11 = i. What is the remainder when 12 is divided by b?
5
Let f(s) = -s**2 - 10*s - 5. Let m be f(-11). Let g = m - -10. Let a = 28 + g. Calculate the remainder when 42 is divided by a.
20
Let u = -49 - -76. What is the remainder when 104 is divided by u?
23
Suppose 29 = -b + 6*b + r, -3*r = -4*b + 8. Calculate the remainder when 13 is divided by b.
3
Let l(q) = -3*q**2 + 7*q + 6. Let s be l(6). What is the remainder when (9 + 4 - 2) + -1 is divided by (-8)/10*s/8?
4
Suppose 0 = -2*h + 22 + 10. Calculate the remainder when h is divided by 6.
4
Let l = 46 + -5. What is the remainder when l is divided by 11?
8
Suppose 3*z - 21 = -0*s - 5*s, -3*s = 0. Calculate the remainder when 27 is divided by z.
6
Suppose 2*r + 0*r = 4*v - 20, -v - 5*r + 27 = 0. Calculate the remainder when 26 is divided by v.
5
Let y(m) = -7*m - 2. Let w be y(-2). Let l = -2 + w. Calculate the remainder when 38/(-8)*2*-2 is divided by l.
9
Let o(c) = c**2 - 2*c - 3. Let l be o(-3). Suppose l = -3*w - w. What is the remainder when 17 is divided by -15*((-7)/(-3) + w)?
7
Calculate the remainder when 38 is divided by (14 - (5 + -1)) + 3.
12
Suppose 5*l = 3*t + 142, 0*l + 112 = 4*l - 2*t. Calculate the remainder when l is divided by 9.
8
Let o = 40 - 34. Calculate the remainder when 22 is divided by o.
4
Suppose 3*p = 4 + 8, 0 = 3*k - 3*p - 12. Suppose 2*z - 6 + 0 = 0. What is the remainder when k is divided by z?
2
Calculate the remainder when 215/5 - (-3 - -2) is divided by 23.
21
Suppose 2*w + i = 3*w - 17, 2*i + 60 = 4*w. Let t(f) = f**2 - 4. What is the remainder when w is divided by t(-3)?
3
Suppose -h = 4*v - 1, -2*v + 13 - 5 = 2*h. What is the remainder when 32 is divided by h?
2
Let d = 7 - -5. What is the remainder when 28 is divided by d?
4
Let u(r) = -2*r - 4. Suppose 0 = -m + q - 6, 28 = 5*q + 3. Let b = m + 4. Calculate the remainder when u(-6) is divided by b.
2
Let m(p) = -p**2 + 8*p - 5. Let o be m(6). Suppose k - o = 3. What is the remainder when 28 is divided by k?
8
Suppose 4*o = i - 18, -2*i + 4*i = -o + 9. Calculate the remainder when 35 is divided by ((-8)/i)/((-9)/81).
11
Suppose 5*q - 165 = 2*a - 11, q = -a + 28. What is the remainder when 119 is divided by q?
29
Suppose -d + 39 = -1. What is the remainder when d is divided by 7?
5
Let c(r) = r - 2. Calculate the remainder when 8 is divided by c(7).
3
Suppose -5*s + 3*v - 2*v = -11, -10 = -3*s + 4*v. Suppose -s*h = -6*h + 60. What is the remainder when h is divided by 6?
3
Suppose 0 = 3*h + u - 13 - 55, 4*h - 4*u = 64. Calculate the remainder when h is divided by 9.
3
Suppose g + 2*g = t, -t + 2*g = 1. What is the remainder when (4/(-6) - 1)*t is divided by 232/72 + (-4)/18?
2
Let f(x) = 7*x + 23. Let r(w) = -3*w - 11. Let v(z) = 6*f(z) + 13*r(z). What is the remainder when 25 is divided by v(6)?
12
Let q be 60/3 + (2 - 0). Suppose 0 = 2*l + a - 1, 0 = l - 2*l + 2*a + 8. Calculate the remainder when -2*q*(-2)/l is divided by 15.
14
Let a(b) = 23*b**2 + 4*b + 2. Let r be a(-2). Suppose r + 18 = 4*p. What is the remainder when p is divided by 9?
8
Let w(b) = -4*b + 3. What is the remainder when (2/1)/((-13)/(-364)) is divided by w(-4)?
18
Suppose 7*g - 106 - 27 = 0. What is the remainder when 74 is divided by g?
17
What is the remainder when (4 + (-3)/2)*10 is divided by 7?
4
Let h(c) = c**3 + 3*c**2 - 5*c - 4. Let v be h(-4). Suppose v = -4*t + 3*t + 4. Suppose t*j = 5*j - 7. What is the remainder when 20 is divided by j?
6
Let x = 92 + -54. Suppose -2*z + 6 = 26. What is the remainder when x is divided by (-126)/z + 4/10?
12
Let r(m) = -5*m - 2. What is the remainder when 10 is divided by r(-1)?
1
Suppose -6*s + s = 2*m - 51, 31 = 3*s + m. Suppose 0 = 5*l - 112 - 48. Calculate the remainder when l is divided by s.
10
What is the remainder when 12/((-1)/14*-4) is divided by (-2)/(-6) - 64/(-6)?
9
Suppose 0 = -5*k, 2*l - 3*k - 10 = 4. What is the remainder when 78/24*(5 + 4/(-4)) is divided by l?
6
Suppose -c - c + 48 = 0. Suppose 0 = j + j - c. Let t = -75 + 98. Calculate the remainder when t is divided by j.
11
Let i = -2 + -7. Calculate the remainder when -7*(-40)/(-84)*i is divided by 11.
8
Let i be 8 - 4 - 4 - -2. Suppose -n = 4*k - 33, -3*k = -3*n + i*k + 116. What is the remainder when n is divided by 0/2 + (1 - -12)?
11
Suppose 30 = 5*l + 5*a, -l - 4*a + 3 + 9 = 0. Suppose 0 = -u + l*u. Let n(r) = r**2 + r + 37. What is the remainder when n(u) is divided by 13?
11
What is the remainder when 25/(-50) - (-65)/2 is divided by 12?
8
Let o = 11 - 4. Suppose 0 = s - 0*s - o. What is the remainder when 19 is divided by s?
5
Suppose 44 = 4*u + l, -u + 5 + 6 = -4*l. What is the remainder when 42/((-3)/(-2 + -1)) is divided by u?
9
Let d(p) = 4*p**2 - 4*p**2 - 19*p**3 - 3*p**2 + 1. Calculate the remainder when d(-2) is divided by 36.
33
Suppose 3*i - i - 16 = 0. Let u = i - 4. Suppose -u*l + 73 = -51. Calculate the remainder when l is divided by 11.
9
Let a(s) = s**3 + 7*s - 3*s - 6*s**2 + 0*s + 3*s - 4. Let r(f) = -2*f**3 - f**2 + f. What is the remai