. Let m = -22 + z. Calculate the remainder when 54 is divided by m.
12
Let v(q) = 2 - 5 - q + 2 + 3*q. What is the remainder when 41 is divided by v(6)?
8
What is the remainder when 5 is divided by 2/(-2 + (-20)/(-8))?
1
Suppose -6*f + 237 = -3*f. What is the remainder when f is divided by 27?
25
Let u(w) = 2*w**3 + w**2 + w - 1. Suppose 4*y + 20 = 0, -4*q + 13 = y - 22. Calculate the remainder when q is divided by u(1).
1
Suppose 4*v - 18*v + 434 = 0. Let j = -70 + 151. Suppose 13 = -4*s + j. What is the remainder when v is divided by s?
14
Let p = 33 - 31. What is the remainder when 7 is divided by p?
1
Let z(d) = d**3 - 8*d**2 + 11*d - 4. Let p be z(5). Let c = p - -45. Let t = 14 + -3. What is the remainder when c is divided by t?
10
Let z = 5 - -5. Let x = 29 + -58. What is the remainder when (-3 + 1 + 1)*x is divided by z?
9
Let o(g) = -g**3 + g - 1. Let h(j) = -j**3 + 3*j - 5. Let p(z) = -h(z) + 4*o(z). Calculate the remainder when 7*-2*1/(-2) is divided by p(-1).
1
Suppose 4*g + 4*g - 80 = 0. Calculate the remainder when 98 is divided by g.
8
Let x = -35 - -43. What is the remainder when 27 is divided by x?
3
Suppose -371*t + 164 = -369*t. Let d = -13 + 30. Calculate the remainder when t is divided by d.
14
Let d(p) = p**2 - 7*p - 2. Let w be d(8). Suppose 0 = -4*t + w*t. Suppose t = q - 15. What is the remainder when q is divided by 8?
7
Let a(q) = -14*q - 3. Let m(h) = -h + 1. Let g(n) = -a(n) + 2*m(n). What is the remainder when g(6) is divided by 26?
25
Let u be 28*((-6)/3)/(-1). Let f = u + -29. Calculate the remainder when 53 is divided by f.
26
Suppose 5*a - 3 = 3*x, 7*x + 3 = 4*x - a. Calculate the remainder when (26 - 1)/(2 + x) is divided by (12 - (0 + 2)) + -1.
7
Let p be 5/15 + 2/3. Let a be p - 2/1 - -3. Suppose -a*r - 16 = -3*r. What is the remainder when r is divided by 9?
7
Let r(k) = 12*k - 16. What is the remainder when 117 is divided by r(3)?
17
Let q = 4 + -2. Suppose 4*g + 2*c = 58, 0 = q*g - 5*c - 27 - 32. Suppose 0 = -3*s + 12, 4*o - 34 = -s - 6. Calculate the remainder when g is divided by o.
5
Let g = 3 + 16. What is the remainder when g is divided by 7?
5
Suppose -20*u = -13*u - 21. Calculate the remainder when 8 is divided by u.
2
Suppose 0 = f - 4 - 0. Suppose 3*z - 3*a - 167 = -2*z, -2*z + 78 = -f*a. What is the remainder when z is divided by (-4)/(-6) - (-44)/6?
7
Let n(w) = -w**3 - 6*w**2 - 5*w - 9. Suppose -4*m = x + 28 - 97, x - 4*m - 93 = 0. What is the remainder when x is divided by n(-6)?
18
Let o be (-99)/(-18) + 3/(-2). Suppose 0 = -4*i + 4*d + 156, -i + 4*i = o*d + 122. Calculate the remainder when i is divided by 18.
16
Suppose -4*g = -9*g - 10, 2*i - 3*g = 684. What is the remainder when i is divided by 68?
67
Suppose 2*f = -a - 0*a + 9, 5*f + a = 21. Let t(h) = 3*h**2 + h. Calculate the remainder when t(2) is divided by f.
2
Let q be 308/2*15/(-2). Calculate the remainder when 70 is divided by q/(-49) - (-6)/14.
22
Suppose 0*q + 2*q - 6 = 0. What is the remainder when 41 is divided by 1/q - (-64)/6?
8
Suppose 3*v = -2*o + 53, -o - 3*o + 2*v + 66 = 0. Calculate the remainder when 20 is divided by o.
1
Suppose u + 3*u = -j + 109, u = -j + 115. Calculate the remainder when j is divided by 8.
5
Suppose 7*t - 96 = -26. What is the remainder when 32 is divided by t?
2
Let x = -67 - -100. What is the remainder when x is divided by 9?
6
Let d be 21/2 - 4/(-8). Suppose -132 = d*y - 14*y. What is the remainder when y is divided by 15?
14
Let g be 1/3 - 1228/(-6). Calculate the remainder when g/20 - (-3)/(-12) is divided by 6.
4
Suppose -36 = -2*y - 0*y - 4*v, -4*y = -4*v - 12. Calculate the remainder when 7 + -8 + 24/1 is divided by y.
7
Let n(l) = -10*l - 3. Suppose 0 = -3*f + 62 + 82. What is the remainder when f is divided by n(-2)?
14
Suppose 0 = 2*v + v - 6. What is the remainder when 5 is divided by v?
1
Let w be 45/4 + 6/8. Suppose -2*a + w + 10 = 0. Calculate the remainder when 30 is divided by a.
8
Suppose 3*a = 88 + 95. What is the remainder when a is divided by 32?
29
Let g = -8 + 51. Calculate the remainder when g is divided by 23.
20
Suppose 0 = -c - 4*x + 22, x + x = -4*c + 60. Let m = c + -6. What is the remainder when 15 is divided by m?
7
Suppose -c - 3 = -2*c. Suppose 0*v + 60 = c*v. Let u = 53 + 5. What is the remainder when u is divided by v?
18
What is the remainder when 98 is divided by -4*(-25)/4 + -5?
18
Let z = -7 - -11. Let x(w) = w**2 - 2*w + 5. What is the remainder when x(z) is divided by 5?
3
Let d(q) = 22*q + 1. Let f(c) = c + 67. What is the remainder when f(0) is divided by d(1)?
21
Let i(y) = y**3 + 34. What is the remainder when 66 is divided by i(0)?
32
Let o = -19 + 40. Suppose 0 = -h + 48 + 33. What is the remainder when h is divided by o?
18
Suppose 40 = 3*g + 2*g. Suppose 5*h + n - 27 = 0, 8 - 1 = 3*h - 4*n. Calculate the remainder when g is divided by h.
3
Let m = 8 + 9. Calculate the remainder when 100 is divided by m.
15
Let r(u) = u**3 + 8*u**2 - 2*u - 5. Let j be r(-7). Let l = j + -28. Calculate the remainder when l is divided by 11.
8
Let c = 4 + 8. What is the remainder when 20 is divided by -2 - (-4)/(c/39)?
9
Let v(c) = -15*c + 9. Let y be v(6). Let n = y + 151. Suppose -s - s + n = 0. What is the remainder when s is divided by 12?
11
Let h(p) = -6*p - 67. Calculate the remainder when h(-17) is divided by 12.
11
Let j(v) = -v**2 - 2*v + 15. Let s(i) = i**2 + i. What is the remainder when j(0) is divided by s(2)?
3
What is the remainder when 55 is divided by (-169)/(-9) - (-4)/18?
17
Suppose 4*s - 12*s + 88 = 0. What is the remainder when 51 is divided by s?
7
Let l be (-729)/27 - (1 + (0 - -1)). Suppose 5*o - 66 = 4*s, s + o + 20 = 4*o. Let p = s - l. What is the remainder when 42 is divided by p?
12
What is the remainder when (-5 - -3)/(3/(-39)) is divided by 15?
11
Suppose -u = -2*u + 1. What is the remainder when 62 is divided by u*-3*(-32)/6?
14
Let m(z) = z + 1. Let v(q) = -8*q - 6. Let i(a) = -4*m(a) - v(a). Calculate the remainder when 53 is divided by i(3).
11
Let l = -28 + 50. What is the remainder when 87 is divided by l?
21
Suppose -4*v = v - 80. Suppose -1 = j - v. What is the remainder when j is divided by 9?
6
Suppose -5*p - m = -211, 8*p + 2*m = 6*p + 78. Calculate the remainder when p is divided by 12.
7
Let k be 34 + 0 - (4 - 6). Suppose k = 3*f - 6. Calculate the remainder when f is divided by 8.
6
Suppose 0 = -4*f + 3*f + a + 4, 4*a = -3*f + 40. Calculate the remainder when f is divided by 6.
2
Suppose -2 = 4*u - 10. Calculate the remainder when 7 is divided by u.
1
Suppose 0 = 25*b - 26*b + 28. Calculate the remainder when b is divided by 8.
4
Suppose -3*m - 72 = -372. Calculate the remainder when m is divided by 34.
32
Suppose -4 = -3*d - 1, -2*x + 70 = 2*d. Let i = -2 + 5. What is the remainder when x is divided by 1/3*i - -17?
16
Suppose 0*z - 30 = 5*z. Let r = z - -11. Let n = 6 - r. What is the remainder when n is divided by 1?
0
Suppose -4*o + 6 = 2. Let r(p) = 15*p**2 - 2*p + 1. Calculate the remainder when 53 is divided by r(o).
11
Let t(w) = w**3 - 8*w**2 + 3*w - 1. Suppose 0 = -2*s + s + 6. Calculate the remainder when t(8) is divided by s.
5
Suppose -140*q = -136*q - 108. What is the remainder when q is divided by 10?
7
Let d(o) = -7*o - 4. Let k be d(-4). Suppose -6*b = -3*b - k. Let r = -53 + 56. Calculate the remainder when b is divided by r.
2
Let v(w) = 4*w - 5. Calculate the remainder when v(4) is divided by 3.
2
Let n be (10/4 - 2)*6. Suppose -5*x + 16 = 4*k + n, 4*k + 12 = 0. What is the remainder when 24 is divided by x?
4
Let d(a) = -a + 16. Let p be d(12). Suppose 0 = -3*y + 22 - p. Calculate the remainder when 22 is divided by y.
4
Suppose -15 = -2*q + 4*f + 21, 5*q = f + 126. Let i be -1 - -1 - (2 + 9). Let s = 20 + i. Calculate the remainder when q is divided by s.
8
Let k = 40 + -20. What is the remainder when 118 is divided by k?
18
Let x(m) = m**3 - 6*m**2 - 5*m + 9. Suppose 35 = 3*r + 2*r. What is the remainder when x(r) is divided by 6?
5
Suppose -50 = 5*i - 140. Let z(u) = u**3 - u**2 - u + 35. Let f = 4 - 4. Calculate the remainder when z(f) is divided by i.
17
Suppose -61 = -3*v + 2*a, -4*a - 25 = -v - a. Calculate the remainder when v is divided by 5.
4
Suppose 4 = -3*x - 5. Let y be ((-6)/x)/(-2)