 Calculate the remainder when f is divided by 6.
5
Let v be -2 - (-5)/(5/2). Suppose v*g - 3*g = -6. Calculate the remainder when (-14*g)/(1 - 2) is divided by 10.
8
What is the remainder when 29 is divided by (-23 - 1)/(48/(-32))?
13
Let n(t) = -t**3 - 5*t**2 + 5*t - 1. Let p(w) = 3*w + 6. What is the remainder when n(-6) is divided by p(-1)?
2
Let z = 98 - 35. Calculate the remainder when z is divided by 13.
11
Suppose 0 = -r + h + 33, -2*h - 9 = 1. What is the remainder when (-402)/(-14) + 8/r is divided by 15?
14
Let l(d) = 2*d**2 - d. Let r be l(1). Suppose 0 = 3*u + 4*f - 11, -5*u - 3*f + r = -10*u. What is the remainder when 2 is divided by u?
0
Suppose 0*i - 4*i = -4*t - 16, 2*i - 4*t = 0. Let j = i - -2. Let g = 26 - j. Calculate the remainder when g is divided by 6.
4
Suppose -3*b - 2 + 14 = 0. Suppose b*z - 23 - 33 = 0. Suppose 3*u - 2 = 5*d - 34, -4*d - 4*u = 0. What is the remainder when z is divided by d?
2
Suppose -2*b + h = -33, 2*h + 57 = 2*b + 19. What is the remainder when 54 is divided by b?
12
Suppose 0 = 4*v - 3*v - 7. Let x(q) = 3 + 2*q**2 + 0*q**2 - q**2 + v*q. What is the remainder when 21 is divided by x(-8)?
10
Let k(l) = l**3 - 13*l**2 + 13*l - 5. Let w be k(12). Suppose 0 = w*t - 3*t - 28. Calculate the remainder when -1 + 19 + 1 + 1 is divided by t.
6
Let s(q) = q + 12. Suppose 5*o + 24 = -v, 0 = 5*v - 3*o - 9 + 45. Calculate the remainder when (-69)/(-9) + 2/6 is divided by s(v).
2
Suppose -4*r + 9 = -r. Suppose -3*f + 15 = 2*f. What is the remainder when f is divided by r?
0
Calculate the remainder when 38 is divided by (9 - 16/(-4)) + 0.
12
Calculate the remainder when 446/14 + 2/14 is divided by 20.
12
Let z = -2 - -7. Suppose 2*d = -m + 6, 0*d + 2*d + 6 = 5*m. What is the remainder when z is divided by d?
1
Let a = 2 - -13. Suppose -y + 4 = -0. What is the remainder when a is divided by y?
3
Let r(y) = 3*y + 70. Suppose -3*i - 3*t = -45, i - 2*t + 1 - 28 = 0. What is the remainder when r(-5) is divided by i?
17
Let g = -129 + 137. What is the remainder when 70 is divided by g?
6
Let t = -5 - -7. Suppose 5*r - 7 = 8. What is the remainder when r is divided by t?
1
Let f(s) = s**3 + 14*s**2 + 12*s - 3. Let p be f(-13). Suppose -x = -3 + 2. Calculate the remainder when 3 + -3 + p + x is divided by 4.
3
Let j(a) = a + 1. Let q be j(3). Let b = -2 + q. Suppose f + b*h = h + 19, -3*h = -3*f + 51. What is the remainder when 53 is divided by f?
17
Suppose 0 = 3*f + 40 + 14. Let u = -7 - f. Suppose -j + 2*v - 19 = -4*j, v - 20 = -5*j. Calculate the remainder when u is divided by j.
2
Let j(s) = -s + 4. Let a = 24 + -34. Let d = 3 - a. Calculate the remainder when d is divided by j(-3).
6
Suppose -80 = 5*i - 185. What is the remainder when 41 is divided by i?
20
Let n(i) = -i**3 - 3*i**2 + 2*i - 6. Let x = -25 + 56. What is the remainder when n(-6) is divided by x?
28
Let c(p) = -9*p**2 - p - 2. Let l(f) = 26*f**2 + 2*f + 6. Let i(v) = 11*c(v) + 4*l(v). What is the remainder when i(2) is divided by 9?
7
Calculate the remainder when 17 is divided by (-74)/(-12) - 13/78.
5
Suppose 34 = 5*f - l, 0 = -f - 0*l - 3*l - 6. Calculate the remainder when 16 is divided by f.
4
Let j = -26 - -50. Let i = j - 0. Suppose 2*n - 65 = -3*n. Calculate the remainder when i is divided by n.
11
Let t = -22 + 32. Calculate the remainder when t is divided by 3.
1
Let k(y) = 3*y - 9. Suppose 5*b = -9 - 16, -4*b = -3*z + 122. What is the remainder when z is divided by k(6)?
7
Calculate the remainder when (-2)/1 + 5 + 92 is divided by 14.
11
Suppose y - 94 = 5*q, 5*q - 4 = 2*y - 102. Let u = q - -29. What is the remainder when u is divided by 6?
5
Let n(c) be the second derivative of c**5/20 - c**4/12 - c**3/3 + c**2 - c. Let v be n(2). Suppose m - 12 - v = 0. What is the remainder when m is divided by 4?
2
Suppose 5*d - 144 - 26 = 0. Calculate the remainder when d is divided by 12.
10
Let t(a) = a**2. Suppose 6*v = 3*s + 4*v - 100, 5*v - 35 = -2*s. What is the remainder when s is divided by t(4)?
14
Suppose -2*k + 33 = 4*c - 109, -5*k = -4*c + 177. What is the remainder when c is divided by 10?
8
Let i(l) = 9*l**2 + 1. Suppose -3*g = -18 - 36. What is the remainder when g is divided by i(-1)?
8
Suppose -j = 4*r + 18, -j + 3*r - r = 0. Let o(m) = m**3 + 6*m**2 - 4*m - 1. Let b = -4 - -12. What is the remainder when o(j) is divided by b?
7
Suppose -2*a = -3*a + 29. What is the remainder when a is divided by (-2)/((-10)/(-15)) + 18?
14
Let d(q) = 6*q + 9. What is the remainder when d(5) is divided by 21?
18
Calculate the remainder when 2 - 1 - (-46 + 3) is divided by 15.
14
Suppose -30 = 2*y - 7*y. What is the remainder when y is divided by 2?
0
Let v = 328 + -173. What is the remainder when v is divided by 26?
25
Suppose 2*c = c. Suppose 3*b + 0*b - 24 = 0. What is the remainder when b is divided by 4 - (c - 1)/(-1)?
2
Suppose 2*y = 6*y. Let a(j) = -j**2 + 7. Calculate the remainder when 25 is divided by a(y).
4
Let o = 3 + 11. What is the remainder when o is divided by 4?
2
Suppose 3*f - 5*d = 98, -f + 2*f - 5*d = 46. Let g = -16 + f. Suppose m - 2*m - 5*a = -4, -5*a - 72 = -3*m. Calculate the remainder when m is divided by g.
9
Let w(g) = 3*g**2 + 6*g - 3. Let u be w(-6). Suppose 4*v + 21 = u. Calculate the remainder when 33 is divided by v.
9
Suppose 0*i - 2*j + 4 = 3*i, -5*j = -2*i - 10. Suppose -3*m - c + 3*c = -74, 4*c = 5*m - 126. What is the remainder when i + 65 - (-4)/(-4) is divided by m?
20
Let i = 3 - 3. Let c(k) = -k + 10. Let h be c(i). Suppose -5*o + 5 + h = 0. What is the remainder when 5 is divided by o?
2
Let i(p) = -2*p**2 - 13*p + 6. What is the remainder when 47 is divided by i(-6)?
11
Suppose 0*d = 2*d - 64. Suppose 0 = -n - n - 4*r + 20, -d = -5*n - 4*r. What is the remainder when 4 is divided by (2 - 8)/(2 - n)?
1
Let v(t) = -14*t - 1. Let c(j) = j**2. Calculate the remainder when c(5) is divided by v(-1).
12
Let o = -37 + 48. Calculate the remainder when 53 is divided by o.
9
Suppose 3*h - 170 = -5*t, -2*h + 5*t + 80 = -0*h. Calculate the remainder when h is divided by 13.
11
Suppose 32*c + 25 = 37*c. Suppose 0 = -i - 3 + 22. What is the remainder when i is divided by c?
4
Suppose 0 = -3*z + 112 - 22. What is the remainder when z is divided by 8?
6
Let p(h) be the second derivative of 11*h**4/4 + h**3/6 - h**2/2 + 4*h. Calculate the remainder when p(1) is divided by 18.
15
Suppose -3*u + 35 = -25. Suppose b = 6*b - 4*n - 105, b - u = n. Calculate the remainder when b is divided by 9.
7
Suppose -u + 4 = 0, g - 2*g = 2*u - 8. Let m(f) = f**2 - 3*f + 4. Let t be m(3). Suppose t*h - 12 = -g*h. Calculate the remainder when 7 is divided by h.
1
Let z = 40 - -7. Let m(d) = 3*d**2 + 2*d - 1. Let s be m(1). Suppose 3*o = s*o - 16. Calculate the remainder when z is divided by o.
15
Suppose s - 1 = -3*a - 6, 3*a = -5*s - 25. Let k(v) = -v + 16. Let b be k(a). Calculate the remainder when 52 is divided by 81/(-12)*b/(-6).
16
Let s(t) = 7*t - 13. Let l be 76/12 + 3/(-9). Calculate the remainder when 113 is divided by s(l).
26
Let u(h) = -h**3 - 2*h**2 - 4. Let a = -2 - 1. Let r = 0 + 2. What is the remainder when u(a) is divided by r?
1
Suppose -3*q + q + 24 = 0. What is the remainder when 70 is divided by q?
10
Suppose 2*k = 7 + 1. Suppose -k*x + x + 105 = 0. Let m(g) = g**2 - 7. Calculate the remainder when x is divided by m(5).
17
Let n = 2 - -11. Let w(f) = -f**3 + 7*f**2 - 4*f + 1. Let j(s) = -s**2 + 5*s + 3. Let a be j(5). Calculate the remainder when w(a) is divided by n.
12
Let w(t) = -t**3 - 3*t**2 - t - 5. What is the remainder when w(-6) is divided by 22?
21
Let q be ((-6)/(-9))/((-1)/54). What is the remainder when -1 - (q + 2/(-2)) is divided by 19?
17
Let m = -34 - -19. Let t = 7 - m. Calculate the remainder when 64 is divided by t.
20
Let b = 13 - 7. Suppose -3*l + 6*l - 129 = 0. Suppose f = 4*j - 0*f - 45, -4*j = f - l. What is the remainder when j is divided by b?
5
Suppose -q = a - 0*q + 3, -4*q = 5*a + 12. Let z(m) = -m + 21. Suppose 2*k - 21 = 59. What is the remainder when k is divided by z(a)?
19
Suppose -5*s - 20 = 10. Suppose -2*b + 36 - 6 = 0. Calculate the remainder when (0 - -66)/(s/(-4)) is divided by b.
14
Suppose b = -2*b - 9, -5*w = -3*b - 49. Calculate the remainder when 9 is divided by w.
1
Let 