
Suppose 4*r + 93 = 385. Calculate the remainder when r is divided by 15.
13
Suppose 2*z + 146 = 4*x, -3*x - 3*z - 49 = -4*x. Let k(c) = 4*c - 2. What is the remainder when x is divided by k(5)?
16
Suppose 0 = 3*l + h - 34, -4*l + 65 = -5*h + 7. Calculate the remainder when 21 is divided by l.
9
Let d be (-4)/(2 - (-2 + 6)). Calculate the remainder when 9/4*(d + 6) is divided by 7.
4
Let s(l) = l**3 - 10*l**2 + 8*l + 6. Let k be s(9). What is the remainder when 2/(-4) + 37/2 is divided by (k/12)/(1/(-28))?
4
Suppose -r = 5*j - 36, 2*r - 3*j = -5*j + 48. Suppose 4*o - 2*o - 66 = 0. Suppose 0*z = 3*z - o. Calculate the remainder when r is divided by z.
10
Suppose -4*n = -3*p + 79 + 34, 0 = 3*p + n - 118. Let c(f) = -f + 14. Let s be c(12). Suppose -5*v + 60 = -s*v. What is the remainder when p is divided by v?
19
Suppose 0 = -3*x + 18 + 6. Let w = 4 - 1. Suppose -w*o = -x*o + 85. What is the remainder when 33 is divided by o?
16
Let g = 29 - 15. Let d = 9 - 19. Let m(y) = -y**3 - 11*y**2 - 15*y - 10. Calculate the remainder when m(d) is divided by g.
12
Suppose -19 = 4*o - 83. What is the remainder when 79 is divided by o?
15
Suppose 0 = -i + 4*i - 51. Calculate the remainder when 51 is divided by i.
0
Let y = 32 + 19. What is the remainder when y is divided by 13?
12
Let x be 6/(-4)*(-2)/3. Suppose 5*y + 7*y = 84. Calculate the remainder when 0 + 2/x + 11 is divided by y.
6
Let i(n) = n**2 + 10*n - 4. Let d be i(-6). What is the remainder when 65 is divided by 0 + 1 - (d - -12)?
14
Let j = 1 - 7. Let s(b) = -b**2 - 7*b + 6. What is the remainder when 23 is divided by s(j)?
11
Let m = 38 - 22. Calculate the remainder when 95 is divided by m.
15
Suppose -4*h = h - 55. Let z be (-4)/(7 - 3)*-6. Let l = z + 0. What is the remainder when h is divided by l?
5
Let m(w) = -w**3 + 4*w. Suppose 4*g = -b + 13, -b = -4*g + 18 + 1. What is the remainder when 28 is divided by m(b)?
13
Suppose -5*n - 2*s + 155 = -114, 0 = 4*n + 3*s - 218. Calculate the remainder when n is divided by 19.
15
Let s = 19 - -1. What is the remainder when 78 is divided by s?
18
What is the remainder when -6*(3/(-2) - 1) is divided by 8?
7
Suppose -5 = 3*p - 20. What is the remainder when 24 is divided by p?
4
Suppose -2*w - 273 = 3*w - 4*b, 0 = 2*w - 5*b + 99. Calculate the remainder when 3*(-2)/9*w is divided by 10.
8
Suppose 2 = -p + 7. Suppose p*d - 6 = -3*j - 0*d, 3*j = -2*d + 15. What is the remainder when 27 is divided by j?
6
Let v be -2 + 55 + (-2 - 1). Suppose -v = -j + 11. Calculate the remainder when j is divided by 16.
13
Let i be (-1)/2 - 201/6. Let f = i - -24. What is the remainder when 37 is divided by (3 + 4/f)*5?
11
Suppose -5*w + 4*v + 150 = 0, 3*w - 93 = 2*v + v. What is the remainder when 25 is divided by (w/(-2))/(-3 - -2)?
12
Let h = -19 - -41. What is the remainder when h is divided by 8?
6
Let u = 46 - 28. Let o(l) = -l**3 - 7*l**2 + 6*l - 6. Calculate the remainder when u is divided by o(-8).
8
Suppose r - 1 = -5*b, -r - 2*b + 74 = 4*r. What is the remainder when 4/(2 - 30/r) is divided by 17?
15
Let c be (-2)/(-1) - (-4)/1. Let z be 8/6 + 4/c. Suppose 2*l + 7*a - 20 = 2*a, 5*l - z*a = 50. Calculate the remainder when 29 is divided by l.
9
Let c(g) = -5 - 2*g + g + 0. Let p be c(-10). Suppose i - 5*h = -12, -12 = -i - p*h + 2*h. What is the remainder when 8 is divided by i?
2
Let j(r) = -r**2 + 11*r - 12. Let w be j(9). Suppose -n + w + 6 = 0. What is the remainder when 22 is divided by n?
10
Let k = -10 - -14. Suppose i = -k*i - 50. Let v(h) = -6*h - 15. What is the remainder when v(i) is divided by 16?
13
Suppose 7*v + 20 = 2*v, 5*n = -2*v + 22. Let r = -17 + 30. Let w = r + -4. What is the remainder when w is divided by n?
3
Let t(s) = 6*s**2 - 3*s + 1. Let w(p) = p**2 + 2*p. Let x be w(5). Let d = -25 + x. What is the remainder when t(2) is divided by d?
9
Let y(m) = m**2 + 8*m + 9. Suppose 0 = -5*t - 38 + 3. Calculate the remainder when 5 is divided by y(t).
1
Let q = -186 + 229. Calculate the remainder when q is divided by 23.
20
Let p(q) = -2*q**2 + 21*q - 15. What is the remainder when p(9) is divided by (-23)/(-5) + (-2)/(-5)?
2
Suppose n + 5*m - m - 71 = 0, 2*m = 4*n - 194. Calculate the remainder when n is divided by 13.
12
Let z = -17 + 45. Suppose -3*p = 2*c - z, 5*c = 2*c + 5*p + 61. What is the remainder when 49 is divided by c?
15
Let z be ((-2)/4)/(3/(-6)). Let l = z + 1. Let u = -15 - -22. What is the remainder when u is divided by l?
1
Suppose 4*r + 0*u = u + 94, -2*r + 3*u + 42 = 0. What is the remainder when 67 is divided by r?
19
Let h(n) = -11*n - 4. Let i(x) = x**3 - 1 - 2 + 5*x**3 - 7*x**3 + 9*x**2. Let z be i(9). What is the remainder when h(z) is divided by 10?
9
Let r(s) = -s**3 + 6*s**2 + 7*s. Let b be r(6). Let g = b + -15. What is the remainder when g is divided by 14?
13
Suppose 8 = 2*b, 2*p - 21 = -2*b + 11. Suppose 4*i = -p, 6 = 2*u - u - i. Calculate the remainder when 37 is divided by -1 + u/((-6)/(-28)).
11
Let o(c) = -c**2 - 15*c + 2. Let b = -12 - -22. Calculate the remainder when o(-13) is divided by b.
8
Let f = -104 + 112. Suppose -3*x = x - a - 145, 4*x + 4*a = 160. Calculate the remainder when x is divided by f.
5
Suppose 0*f + 3*f = 21. What is the remainder when 26 is divided by f?
5
Let p = 67 - 9. Suppose 2*l = 4*z + 40, -60 = -3*l - 2*z - 3*z. What is the remainder when p is divided by l?
18
Suppose 0 = 3*n + 5*u - 4*u - 400, -3*u = -3. Calculate the remainder when n is divided by 27.
25
Calculate the remainder when -3 + 1 + 13 + 2 is divided by 22/3 + (-1)/3.
6
Let g be (-13 - -2) + (-3 - -1). What is the remainder when (g/13)/(-1*1) is divided by 1?
0
Let q be 1/(-2*(-1)/2). Let b = -130 - -135. Calculate the remainder when 0 - q/(1/(-14)) is divided by b.
4
Suppose -5*b + 72 = -b. What is the remainder when b is divided by 11?
7
Let v = 5 - -1. Suppose -3*w - 11 = -4*z, -3*z - 2*w = -5*w - v. Suppose -56 = -2*u - 2*u. Calculate the remainder when u is divided by z.
4
Suppose 3*f + 22 = 5*c - 6, -c + 7 = -2*f. Let k = 7 - 4. What is the remainder when (-4)/6*(-63)/k is divided by c?
4
Suppose -6*w + 2*w + 36 = 0. Let s(h) = h**3 - 9*h**2 + 4*h - 2. What is the remainder when s(w) is divided by 18?
16
Suppose -203 = -4*v + 5*x, -3*x = 6*v - v - 263. Calculate the remainder when v is divided by 11.
8
Suppose -5*m - 1 + 16 = 0. Let b(t) = t**3 - 4*t**2 + 4*t. Let v be b(m). Calculate the remainder when 5 + (v - 2)*-1 is divided by 3.
1
Calculate the remainder when 27 is divided by 231/15 + 8/(-20).
12
Let q be (-116)/(-1)*(-5)/(-10). Suppose 3*i + q = 5*x, 3*i - 37 = -3*x + 7*i. What is the remainder when 20 is divided by x?
9
Let m(s) be the third derivative of -s**4/4 - 5*s**3/6 - s**2. Suppose -4*u + 5*v - 36 = 0, u + 3 = -v - 6. Calculate the remainder when m(u) is divided by 17.
15
Let k(s) = -s**2 - 3*s - 6. Let b(f) = -1. Let i(c) = 3*b(c) - k(c). Calculate the remainder when i(-7) is divided by 8.
7
Suppose -5*y = -3*l - 146, l - 3*l = -4*y + 118. Suppose -3*v + y = -11. Let b(m) = 25*m**2 - m. Calculate the remainder when b(-1) is divided by v.
12
Let u(j) = j**2 - 2*j - 3. Let a be u(4). Suppose -4*r - 44 = -a*r. Calculate the remainder when r is divided by 12.
8
Suppose 6*a - a = 70. Let h be (-30)/(-7) - 4/a. Suppose -d - 39 = -h*d. Calculate the remainder when 37 is divided by d.
11
Let g be (15/2)/(2/(-20)). Let c = -51 - g. Suppose -a - 2*a = -39. Calculate the remainder when c is divided by a.
11
Let z(t) = t**3 + 6*t**2 - 5*t - 1. Let k(y) = 2*y**3 + y**2 - 2*y + 1. Let l be k(-2). Let v = l + 23. Calculate the remainder when z(-6) is divided by v.
13
Suppose 0 = -4*p + 4 - 20. Let u = 7 + p. Calculate the remainder when (-1)/((-41)/8 + 5) is divided by u.
2
Suppose 0 = -5*s + 2*s + 48. What is the remainder when s is divided by 11?
5
Suppose -5*u = 5*c - 25, 5*c + 22 + 9 = 3*u. Let a = -4 + u. Suppose -13 = -4*m - 1, 4*m = -4*b + 44. What is the remainder when b is divided by a?
2
What is the remainder when 52 is divided by (-62)/(-6) + 8/12?
8
Suppose 0 = -w + 6*w - 35. Suppose -w*y - 20 = -12*y. What is the remainder when 6 is divided by y?
2
Let r(l) = -54*l**3 - l. Let c be r(1). Calculate the remainder when 66 is divided by (-3)/5 - 803/c.
10
Suppose -15 = -c + p + p, 4*c = 5*p + 6