n z is divided by b.
4
Calculate the remainder when 15 is divided by (3*4)/((1 - 5) + 6).
3
Suppose 3*g - 5*m = -0*g - 14, -3*m + 22 = 5*g. Suppose -2 = -g*k + 2. Suppose 0 = 5*u - u - 8. What is the remainder when k is divided by u?
0
Suppose 2*d + 2*f + 23 = 103, -d + 3*f = -44. What is the remainder when d is divided by 11?
8
Let j be (1/4)/(3/204). Suppose -4*g + j - 1 = 0. Calculate the remainder when 11 is divided by g.
3
Let d = -3 + 6. Suppose 0 = -f - 5*s + 25, -8*s + 4*s = -12. Suppose -4*p - f = -2*o - 5*p, 10 = o + d*p. Calculate the remainder when o is divided by 2.
0
Let i(z) = -3*z + 4. Let b be i(-6). What is the remainder when 568/b - 6/(-33) is divided by 9?
8
Let f(o) = -8*o - 8. Let i = 41 + -10. What is the remainder when i is divided by f(-2)?
7
Let l = -1 + 5. Suppose 3*w + 5*v = 6, -3 - 1 = -2*w - l*v. What is the remainder when 2 is divided by w?
0
Suppose 4*u - 5 + 1 = 0. Suppose -4*j - u = -5*j. Let p(a) = 11*a. Calculate the remainder when 41 is divided by p(j).
8
Suppose k = -3*d + 58 - 15, 70 = 5*d + 2*k. What is the remainder when 75 is divided by d?
11
Suppose 9*v - 57 = 6*v. What is the remainder when 36 is divided by v?
17
Suppose 4*d - 2*z = 72, 0 = 4*d + z - 32 - 34. Calculate the remainder when d is divided by 10.
7
Suppose 0 = -4*t - t - s + 216, -t = 5*s - 24. What is the remainder when t is divided by 16?
12
Let h = -136 + 151. Calculate the remainder when 24 is divided by h.
9
Let g(u) = -u**2 - 6*u + 1. Suppose 0 = z - 7 - 0. Suppose -4*n - 12 = -2*r, -4*r + 15 = -5*n - z*r. Calculate the remainder when g(n) is divided by 6.
4
Suppose 0 = -h + 4*h + 105. Calculate the remainder when 28 is divided by (18/21)/((-5)/h).
4
Let d be 3/6 - 18/4. Let g be 52/6 + 2/6. Let s = d + g. Calculate the remainder when s is divided by 3.
2
Suppose 2*f + 108 = 5*f. Suppose 2*p = 0, 5*a - f = 2*a - 2*p. What is the remainder when 34 is divided by a?
10
Let b(r) = r**2 - 8*r + 5. Let k be b(8). Suppose 5*i = 3 + 12. Suppose 16 = 3*x + k*p - 85, -i*p + 3 = 0. Calculate the remainder when x is divided by 11.
10
Let x(p) = p**2 + p + 3. Suppose 3*g - g = -6. Let t be x(g). Let i = t - -11. Calculate the remainder when 38 is divided by i.
18
Let b(k) = 18*k - 2. Suppose 0*q + 2*q - 2*w = 12, q - 5*w - 22 = 0. What is the remainder when b(q) is divided by 12?
10
Let u(k) = k**3 + 8*k**2 - 4*k - 20. Calculate the remainder when 54 is divided by u(-8).
6
Suppose 0 = b - 4*v + 2*v - 11, 5*v + 35 = 5*b. Suppose -3*q = p + b*p - 60, 5*p - 75 = -q. What is the remainder when p is divided by 6?
3
Let a be -2 + 1 - (12 + 2). Let i = -7 - a. Let k = i - -2. What is the remainder when 19 is divided by k?
9
Let g(j) be the first derivative of -j**3/3 + 3*j**2 - 4*j - 2. What is the remainder when ((-11)/3)/(1/(-3)) is divided by g(4)?
3
Suppose -11 = -3*s - 4*p, -s + p = 3*s - 40. Let v = s - 1. Calculate the remainder when 30 is divided by v.
6
Suppose -5*b - 10 = 40. Let q(i) = -5*i - 15. What is the remainder when q(b) is divided by 12?
11
Suppose 2*z = -2*z + 32. What is the remainder when 14 is divided by z?
6
Suppose 0*r + 26 = 2*r. Let u = -13 + 18. Calculate the remainder when r is divided by u.
3
Suppose 4 + 2 = 3*k. Let y be -6*1*k/(-6). Calculate the remainder when (2 + 7)/(y/6) is divided by 14.
13
What is the remainder when 27 is divided by (-62)/(-6) + (-7)/21?
7
Suppose -4 = -0*o - o. Calculate the remainder when o is divided by 2.
0
Suppose 178 = 9*u - 155. What is the remainder when u is divided by 26?
11
Suppose 7 = -a + 20. Suppose x = a + 6. What is the remainder when x is divided by 10?
9
Suppose u + 9 = 4*u. Suppose g = w + 3*w + 9, 53 = u*g + w. What is the remainder when g is divided by 2/4 + (-11)/(-2)?
5
Suppose -5*p + 81 = 1. What is the remainder when p is divided by 6?
4
Let w be 0/(-2) + 6 + -1. Suppose p + w*j + 15 = 6*p, -3 = -p + 3*j. Calculate the remainder when ((-1)/1)/((-1)/4) is divided by p.
1
Let c(t) = t**2 - 3*t + 6. Suppose -4*g - 12 = -6*g. Suppose -a + 2 = 5*x - 60, -a = -3*x + 42. What is the remainder when c(g) is divided by x?
11
Let d = -21 + 34. Calculate the remainder when 50 is divided by d.
11
Suppose -5*t + 2*w + 113 = 4*w, w = 5*t - 116. What is the remainder when t is divided by 14?
9
Suppose -3*c - 3 = -33. What is the remainder when c is divided by 6?
4
Suppose 0 = -3*t - 5*o + 66, 4*o = -5*t - 2 + 99. What is the remainder when t is divided by 15/(-6)*(2 - 4)?
2
Let w = -30 + 36. What is the remainder when (30/8)/(3/12) is divided by w?
3
Let d = 2 + 13. Calculate the remainder when d is divided by 9.
6
Suppose -5*u - 4*j = -52, -2*u + 4*j + 4 = -0. Suppose 5*m - 8 = 7. Calculate the remainder when u is divided by m.
2
Suppose g - 27 = -5. Calculate the remainder when 65 is divided by g.
21
Let c = -76 - -84. What is the remainder when 15 is divided by c?
7
Suppose 3*w = 2*w. Suppose 5*s - 4*s - 15 = w. What is the remainder when 44 is divided by s?
14
Suppose 0 = 10*a - 6*a - 8. Suppose 120 = -a*c + 4*c. What is the remainder when c is divided by 31?
29
Suppose 3*f + 17 = 2*s, -4*s + 6*s - 16 = 4*f. Let y = s + -1. Calculate the remainder when y is divided by 4.
1
Suppose 4*h - 4 = 2*h - 5*f, 0 = -5*f - 10. Calculate the remainder when 27 is divided by h.
6
Let w(a) = 5*a**2 - 4*a - 1. Let u be w(3). Suppose 0 = p + 4*z + z, p - u = 3*z. Let j(v) = -v**2 + 8*v - 5. Calculate the remainder when p is divided by j(4).
9
Suppose 2*j - 5*m + 12 = 40, 0 = 4*j + 5*m - 56. Suppose 5*z + 19 = 4*i, 6*z - 2*z + 20 = 4*i. What is the remainder when j is divided by i?
2
Let n = 21 - 8. Suppose i = 3*f - 0*i - 110, -i + 118 = 3*f. Suppose 3*k - 77 = -0*t + t, -2*k - 2*t + f = 0. Calculate the remainder when k is divided by n.
11
Let f be ((-165)/(-10))/((-2)/(-44)). Calculate the remainder when f/21 - (-4)/(-14) is divided by 5.
2
Suppose 2*j + 2*j = 68. Let z = 0 + -1. Let d(r) = -6*r. Calculate the remainder when j is divided by d(z).
5
Let c = -22 - -15. Let i be (c/(-4))/(2/(-16)). Let r = 5 - i. Calculate the remainder when r is divided by 10.
9
Suppose 0 = b - 6*b - 4*w - 2, -w - 5 = -b. Calculate the remainder when 6 is divided by b.
0
Let v(t) = -t**2 + t + 11. Let o(u) = u + 2. Let r be o(-3). Let g(l) = -l**3 - 1. Let h be g(r). Calculate the remainder when 32 is divided by v(h).
10
Suppose 0*h + 2*h = 22. Let x = 24 + 18. Suppose n = -n + x. What is the remainder when n is divided by h?
10
Let g(b) be the third derivative of b**5/60 - b**4/8 + b**3 + b**2. Let z = 24 + -20. Calculate the remainder when g(4) is divided by z.
2
Suppose -19 = z - 5*j - 4, 4*j + 9 = 5*z. Let o = 14 + 17. Suppose -38 = -2*r - u, -3*r + z*u + o = -0*r. Calculate the remainder when 32 is divided by r.
15
Suppose 4*i - 125 = c + 126, -3*c - 133 = -2*i. Calculate the remainder when i is divided by 13.
10
Suppose 7*y - 1 = 62. What is the remainder when 19 is divided by y?
1
Suppose 4*c - 5*t - 305 = 0, -4*c - t + 285 = -2*t. Suppose 2*n = 4*n - c. Calculate the remainder when n is divided by 9.
8
Suppose 24 = -3*a + 90. Suppose -6*p + 2*p = -20. Suppose p*q - 299 - 26 = 0. Calculate the remainder when q is divided by a.
21
Let w be (-3)/(-12) - 3/12. Suppose -2*p - 4*v + v + 16 = w, -5*p - 4*v = -33. What is the remainder when 18 is divided by p?
3
Let c(f) = f**3 + 13*f**2 + 6*f - 28. Calculate the remainder when c(-12) is divided by 4.
0
Let x(r) = 6*r**2 - 9*r - 1. What is the remainder when x(-6) is divided by 30?
29
Suppose -3*i + i + 4 = 0. Let b(w) = 2*w + 17. Let o be b(-7). Suppose i*a - o*a = -41. Calculate the remainder when a is divided by 14.
13
Suppose 5*d + 2*c - 27 = 0, d - 3*c = -0*d + 2. What is the remainder when 18 is divided by d?
3
Let t = 122 - 73. Calculate the remainder when t is divided by 26.
23
Let n be 8*(-2 - 15/(-6)). Suppose n*l - 93 + 32 = -5*p, -p + 5 = 0. Suppose -c = -3*c + 34. What is the remainder when c is divided by l?
8
Let s = -35 + 41. Suppose a + 4*r = s*a - 71, 0 = -5*a - 5*r + 80. Suppose 4*n = -4*f + 16, -3*f = -4*f - 3*n. Calculate the remainder when a is divided by f.
3
Let f(b) = -3*b**2 - b + 70. Let r(z) = 4*z**2 + z - 105. Let a(v) = -7*f(v) - 5*r(v). Calculate the remainder when a(0) is divided by 12.
11
Let u be (-1 - -2 - 2) + 4. Suppose -3*n - u