t is the remainder when 54 is divided by f?
10
Suppose 9 = l + o - 0, 0 = 4*l - 3*o - 1. Suppose 3*t = l*s - 91, 4*s - 43 = 2*s - t. Calculate the remainder when s is divided by 8.
6
Suppose 0 = -y - 0*y + 26. Suppose -98 = -2*x - y. What is the remainder when x is divided by 10?
6
Let i = -105 + 152. What is the remainder when i is divided by 10?
7
Suppose -2*n + 46 = -3*j, 2*n + 4*j + 22 = 96. Calculate the remainder when 85 is divided by n.
27
Let z = -12 - -7. Let w(h) = -h - 1. Let s be w(z). Let l(x) = -x**2 + 10*x - 1. What is the remainder when l(s) is divided by 13?
10
Suppose -12 = -0*k - 3*k. Suppose -j + 65 = k*j - 5*a, a = 0. What is the remainder when j is divided by 7?
6
Suppose i = 7*i - 414. Let v(s) = 4*s - 10. Calculate the remainder when i is divided by v(7).
15
Suppose -20 = -2*r - 2*z - 58, r + 19 = 2*z. Let k = 32 + r. What is the remainder when 4 - (-31 - (3 - 1)) is divided by k?
11
Let u = 1 - 0. Suppose -5*l + 16 = u. Suppose -2*x - 4*d = 2*x - 72, -l*d - 18 = -x. Calculate the remainder when x is divided by 7.
4
Calculate the remainder when 110 is divided by ((-14)/(-4))/((-2)/(-16)).
26
Suppose 2*p = -3*i + 99, 3*i - 2*i + 4*p = 43. Suppose i = 3*r - 146. What is the remainder when r is divided by 21?
17
Let f = -4 + 6. Suppose -t = -4*t + 63. Calculate the remainder when 56 is divided by 393/t - f/(-7).
18
Let f = -1 + -4. Let q = f + 14. Suppose 5*k - q = 16. Calculate the remainder when k is divided by 3.
2
Let l be (-8)/(-5) + (-2)/(-5). Let x(c) = 16*c - 3. Let z be x(l). Suppose -5*s = -4*w - z, -3*s + 9 = -5*w + 2. What is the remainder when 26 is divided by s?
8
Suppose 4*x - f = 52, 4*f + 50 = 4*x - 14. Suppose 3*j - x = 6. Let q(m) = 2*m + 2. Calculate the remainder when q(4) is divided by j.
4
Suppose -3*s = 4*j - 28, 0*s - 5*s = 2*j - 28. Suppose q + 135 = s*q. What is the remainder when q is divided by 16?
13
Let g be (-4)/(-6) + 55/3. Let k(d) = 4*d**2 - 4*d - 1. What is the remainder when (g*1 - -1)/1 is divided by k(-1)?
6
Let o = 134 + 23. Suppose -5*c - 5*s = -c - o, 3*c + s = 115. Calculate the remainder when c is divided by 10.
8
Let o(r) = r + 1. What is the remainder when 6/15 + (-114)/(-15) is divided by o(2)?
2
Suppose -3*b - u = 2*u - 6, -5*b + 5*u = -20. What is the remainder when 4/18 + (-291)/(-27) is divided by b?
2
Let y(i) = -i**3 + 4*i**2 + 6*i + 7. Let x(w) = w - 4. Let z be x(5). Let o be 2/(z - 6/10). What is the remainder when 23 is divided by y(o)?
11
Let z(f) = -f + 5. Let h be z(-10). What is the remainder when -1 - -4 - (-1 - h) is divided by 5?
4
Suppose 0 = -0*c + c + 2*h - 20, -10 = -3*c + 4*h. What is the remainder when 47 is divided by c?
7
Suppose 5*m = 2*u - 39 - 42, -3*u = 5*m - 84. Suppose -3*d + 9 = -45. Calculate the remainder when u is divided by d.
15
Suppose u = -u + 24. Let b(o) = -2*o + 2 - o**3 + 2*o**3 + 2*o**3. What is the remainder when b(2) is divided by u?
10
Let d = -5 - 11. Let i = 13 - d. Calculate the remainder when i is divided by 10.
9
Let j(f) = -f**3 + 4*f**2 - 3*f + 2. Let l be j(3). Suppose 0 = -l*k - 2*t + 38, 5*k - 2*t + 27 = 122. What is the remainder when 53 - 3*2/(-3) is divided by k?
17
Let y be -2 - (357/(-3) - 0). What is the remainder when 38 is divided by (-2)/(-6)*y/3?
12
Let n = -13 - -35. Let p = n - 7. Let k = -10 - -39. Calculate the remainder when k is divided by p.
14
Suppose -b = -4*s + 22, -3*s = s - 5*b - 30. Calculate the remainder when s is divided by 4.
1
Suppose 5*k + 72 = 4*w, 5*w + 2*k + 2*k - 49 = 0. Suppose -1 = -q + 37. Calculate the remainder when q is divided by w.
12
Let j = 13 + -29. Let d = -10 - j. What is the remainder when d is divided by 2?
0
Suppose 2*n - 6*n = -20. Let o(s) = s - 1. Let a be o(1). Suppose a = -0*x - x + n. Calculate the remainder when 18 is divided by x.
3
Let v(f) = -2*f**2 + 7 - 1 - 3 + 7*f + 3*f**2. What is the remainder when 7 is divided by v(-7)?
1
Let f(j) = -j**3 + 2*j**2 - j. Let r be f(1). Suppose r = c - x - 6, -23 = -5*c + 4*x + 6. What is the remainder when 19 is divided by c?
4
Suppose 3*j - 2*f = 2*j + 75, -5*j + 3*f = -361. Calculate the remainder when j is divided by 6.
5
Suppose 3*f + f - 68 = -4*y, -y + 2 = 0. Let a = 2 + 6. What is the remainder when f is divided by a?
7
Let g be 0 - (0 - (5 - 2)). Suppose -g*n + 4*n = 9. What is the remainder when 34 is divided by n?
7
Let b(y) = -y**2 - 6*y. Let u be b(-6). Let l(x) = x + 2. Let a(j) = j + 1. What is the remainder when a(1) is divided by l(u)?
0
Let j(k) = -k - 1. Let a be j(-5). Suppose -52 = -a*m + 4*i, -m + 2*i + 9 = -4. What is the remainder when m is divided by 4?
1
Let h = 34 + 72. What is the remainder when h is divided by 38?
30
Let l = -3 - -8. Suppose 5*t - t + 78 = l*q, 9 = 3*t. What is the remainder when q is divided by 10?
8
Let p = 91 + -57. Let f = -12 - -24. What is the remainder when p is divided by f?
10
Suppose 4*v = 8*v - 152. Suppose -2*h = -8 - v. What is the remainder when h is divided by 8?
7
Let t be 86 - (3 + 2 + -3). Let v = t - 60. What is the remainder when v is divided by 13?
11
Suppose -66 = 4*a - l, 93 = -4*a - a - 4*l. Let w(b) = b**3 - 3*b**2 + 3*b. Let p be w(4). Let o = a + p. What is the remainder when 20 is divided by o?
9
Let z = 29 + -14. Suppose 2*f = 5*n - z, -9*n + 4*n = -3*f - 10. Suppose 0*b + b = -n*y - 7, -4*b + 64 = -3*y. Calculate the remainder when b is divided by 7.
6
Let s = 221 + -152. What is the remainder when s is divided by 18?
15
Let v(q) = 2*q**2 + 12*q + 3. Suppose -3*s + 45 = 2*s. What is the remainder when v(-8) is divided by s?
8
What is the remainder when 41 is divided by 7*(-2 - -7 - 2)?
20
Suppose 4*x - 24 = -3*b, -2*x + 4 = -2. Suppose -b*n + 29 = -19. Calculate the remainder when n is divided by 7.
5
Let m(q) = -2*q**3 - 8*q**2 - 4*q. What is the remainder when 47 is divided by m(-4)?
15
Let z(x) = x**2 - 5. Let f = -7 - -12. Suppose -24 = -2*r - 2*r - 2*k, 0 = -r + 4*k + 15. Calculate the remainder when z(f) is divided by r.
6
Suppose 5*a - 3 = 7. Let c = -1 - -2. What is the remainder when a is divided by c?
0
Suppose -1 = -c + 1. Let z(a) = 0*a**3 - 3*a + 5*a**c + 0*a**3 + a**3. What is the remainder when z(-4) is divided by 10?
8
Suppose -5*z + 3 = 3*f + 8, -5*f + z = -29. Let d be 0/2 + 26/(-2). Let k = d - -21. What is the remainder when k is divided by f?
3
Let x(f) = f**3 + 7*f**2 + 3*f + 1. Let z be x(-7). What is the remainder when 53 is divided by 392/22 + z/(-110)?
17
Suppose -4*q + 1 - 9 = 0. Let t = -15 - -30. What is the remainder when 35 is divided by (-5)/(t/q)*18?
11
Let a = 0 - 15. Let s = 11 + a. Calculate the remainder when 6/s*78/(-9) is divided by 5.
3
Suppose 5*l - 9 - 11 = 0. Suppose -4*b = -0*b - 12. Suppose 0 = -a - 3, b*a - 2 = -l*x - 3. What is the remainder when 4 is divided by x?
0
Suppose 4*l = 2*z + 144, -4*l + 4*z + 140 = 3*z. What is the remainder when l is divided by 23?
11
Let b(n) = n**3 - 3*n**2 + n - 2. Let y be b(3). Suppose -2*s + 29 = 5*t - 64, 0 = -s - y. Calculate the remainder when t is divided by (-52)/(-5) + 2/(-5).
9
Suppose -7 = 5*z + 3. Let g = 13 - z. What is the remainder when 42 is divided by g?
12
What is the remainder when 155 is divided by 3 - -2 - 3 - -30?
27
Suppose 0 = -8*y + 10*y - 46. Calculate the remainder when 43 is divided by y.
20
Suppose 4*f - 8 + 38 = -2*s, -5*f = 25. Let v = 86 - 45. Calculate the remainder when v is divided by (38/(-10) + 1)*s.
13
Suppose -2*b = -4*y + 2*b + 28, -4*b - 4 = 0. Calculate the remainder when 8 is divided by y.
2
Let s(p) = 2*p + 1. Let r = -235 + 360. Suppose r = l + 4*l. Calculate the remainder when l is divided by s(4).
7
Let f(w) be the second derivative of 0 + 4*w**2 - 1/12*w**4 - 4/3*w**3 + 2*w. What is the remainder when f(-7) is divided by 8?
7
Let j(o) = o**3 - 10*o**2 + 11*o - 4. Let a be j(9). Suppose y = -2*q + a, -2*y - 18 = -3*y - 3*q. Calculate the remainder when y is divided by 3.
0
Suppose -3*d - 3*y + 15 + 6 = 0, -d + 12 = 2*y. Let n(a) = a**3 + 3*a**2 + 2*a + 2. Suppose c = -c - 4. Calculate the remainder when n(c) is divided by d.
0
Suppose -b - 2*o = -2 - 6, 5*o + 7 = -b. Calculate the remainder when 34 is divided by b.
16
Let a(t) = t**2 + 8*t - 14. Let j be a(-10). Calculate the remainder when 68/j*(-15)/(-10) is divided by 1