e remainder when 105 is divided by z.
17
Suppose 4728 + 5308 = 26*j. Calculate the remainder when j is divided by 43.
42
Suppose -77*f = -123156 + 33990. What is the remainder when f is divided by 9?
6
Let b(c) = -c**3 + 7*c**2 - 6. Let a(q) = q**3 - q**2 + 4. Let y be a(0). Suppose -y*d = -18 - 26. What is the remainder when b(4) is divided by d?
9
Suppose -9*z = -172 - 71. What is the remainder when 404 is divided by z?
26
Let s(l) = 5*l + 53. What is the remainder when 48 is divided by s(-8)?
9
Let a = -2424 - -2435. Calculate the remainder when a is divided by 1/3 + (-11)/(-3).
3
Suppose 11*y - 72 = 15*y. Calculate the remainder when 13 is divided by (-2)/1*y/4.
4
Let n = 2 + -2. Suppose 30 = u - n*u. What is the remainder when -6 + (-1)/((-1)/94) is divided by u?
28
Let w be 188/(-8) - 2/4. Let s = -20 - w. Calculate the remainder when 6 is divided by s.
2
Suppose -4*o = 5*q - 0*o - 676, 0 = 2*q + 2*o - 272. Suppose -2*m = m - q. Suppose 5*s - s = m. Calculate the remainder when 30 is divided by s.
8
Suppose -48*x + 7*x + 410 = 0. What is the remainder when 89 is divided by x?
9
Let m(g) = g**3 + 25*g**2 - 25*g - 552. Calculate the remainder when 653 is divided by m(-25).
69
Let r be 2/(4/(-30))*-1. Let j be 3/((-2)/8*(3 - -3)). What is the remainder when 30 is divided by r/30 + (-33)/j?
13
Suppose -11*y - 4*y = -195. Let s be (1 - 13) + 3 + -1. Calculate the remainder when (8/s)/(2/(-160)) is divided by y.
12
Let f(z) = 13*z**3 - z**2 + 3*z + 2. What is the remainder when f(2) is divided by 11?
9
Let r be (14/(-2) + 4)/1. Let s be 78/(-4)*(r - -13). Calculate the remainder when (4 - 2)/((-10)/s) is divided by 11.
6
Suppose -33 = z + c, 3*z - 17 = 4*z + 5*c. Suppose 3*v - y = -123, 4*y = 4*v + 5*y + 157. Let b = z - v. Calculate the remainder when 13 is divided by b.
1
Suppose -187 = -9*y + 173. What is the remainder when y is divided by 16?
8
Let o = 1080 - 1023. What is the remainder when -3 + (286 - 2/2) is divided by o?
54
Calculate the remainder when 111 is divided by 2*4*85/20.
9
Suppose -5*i = -25, -3*i = -4*q + 2*q + 1301. What is the remainder when (2/2)/(5 - q/133) is divided by 11?
8
Let y(v) be the first derivative of v**3/3 - 7*v**2 - 33*v - 12. What is the remainder when y(18) is divided by 6?
3
Let t be (-186)/(-66) + (-4)/(-22). Let a be (-4)/((-12)/3) + t. Suppose -2*r = -m - 84, -49 = -r + m - a*m. What is the remainder when r is divided by 11?
10
Suppose 0*k + 2 = 2*k. Suppose -3 = -p, -p + 83 = 3*b - 64. Suppose -k = -7*y + b. What is the remainder when 20 is divided by y?
6
Let z(x) = -22*x - 4. Let s be z(-5). Suppose u - 4*u + s = 5*o, -5*u + 2*o + 218 = 0. Calculate the remainder when u is divided by 11.
9
Let r = -243 + 550. Calculate the remainder when r is divided by 62.
59
Suppose 15*z + 10 = 16*z. Suppose -2*p = 4*b - z, p + 9 = 4*b - 16. What is the remainder when 24 is divided by b?
4
Let w = -310 + 418. Calculate the remainder when w is divided by 35.
3
Suppose 5*d = 2*d + 15. Suppose -d*p = 12 - 72. Calculate the remainder when 32 is divided by p.
8
Suppose w = v + 27, 19 = 2*w + v + 4*v. Let c = 4 + w. Suppose 5*z - 386 = -2*j, 0 = -3*z + 4*j - 3*j + 225. Calculate the remainder when z is divided by c.
24
Suppose -9*g + 63 = -0*g. Calculate the remainder when 14 is divided by g.
0
Suppose u + u + 128 = v, 5*v - 5*u = 620. Calculate the remainder when v is divided by 43.
34
Let y = 14 + 0. Calculate the remainder when -2 + (-844 - -4)/(-15) is divided by y.
12
Let u(x) = 12*x**2 - 2*x + 1. Calculate the remainder when u(-2) is divided by 13.
1
Suppose 3*n = 2*j - 355, -5*j + 126 = 4*n - 796. Calculate the remainder when j is divided by 32.
22
Suppose -d = -14 - 3. Suppose d*b - 13*b - 28 = 0. Let s(q) = -q**3 + q**2 - q + 4. Calculate the remainder when b is divided by s(0).
3
Let f(p) = 6*p - 47. What is the remainder when 20 is divided by f(9)?
6
Let w = 15 - -8. What is the remainder when 81 is divided by w?
12
Let h(m) = 8*m + 37. What is the remainder when h(10) is divided by 27?
9
Let v = 1533 + -1040. What is the remainder when v is divided by 11?
9
Suppose 0 = 5*i + 5*p - 20, 4*p + 2 = 3*i + 2*p. Calculate the remainder when (-8 + 11)*i/2 is divided by 3.
0
Let j(m) = 2*m - m - 5 + 7*m. Suppose -2*b = u - 30, -b - 5*u = -4*b + 32. Calculate the remainder when j(4) is divided by b.
13
Let f(h) = h**3 - 7*h**2 + 9*h. Let i(c) = c**3 + 2*c**2 - 12*c - 4. Let s be i(5). Let m = -104 + s. What is the remainder when f(6) is divided by m?
4
Let b(f) = 5*f**2 + 8*f - 8. Let j be b(6). Suppose -5*n + 37 = v - 2*v, -4*v - 4*n = j. Let i = 84 + v. What is the remainder when i is divided by 11?
10
Suppose -4*u - 2*v + 812 = 0, 3*u + 0*u - v = 599. Suppose x - 3*y - 49 = 0, -5*x + 5*y + u = y. Calculate the remainder when 71 is divided by x.
34
Let k(p) = -2*p + 18. Let h be k(8). Suppose -v = h - 5. Suppose -3*w + 33 = v*r, 0*r = 2*r + 5*w - 13. Calculate the remainder when 55 is divided by r.
13
Let m(l) = 3*l**3 - 5*l**2 - 2*l + 5. What is the remainder when 58 is divided by m(2)?
3
Let l(u) = u**3 - 21*u**2 - 72*u + 23. Calculate the remainder when 113 is divided by l(24).
21
Let l = 38 + -35. Let r(q) = q**2 + q - 2. Let a be r(2). Suppose 84 = a*y - 2*d, -l*d + 80 = 4*y - 4*d. Calculate the remainder when 71 is divided by y.
14
Let j(d) = 3*d**2 + 8*d - 17. Let f be j(4). Suppose 5*i - 12*i = -f. Calculate the remainder when 44 is divided by i.
8
Suppose -57 = -4*l + 47. Let r = -4779 + 4932. What is the remainder when r is divided by l?
23
Let n = 324 + -257. What is the remainder when n is divided by 12?
7
Let x = 7 + -9. Let d be (-10)/45 - 52/9. Calculate the remainder when 16 is divided by 3/x*40/d.
6
Suppose -4*x = x + 45. Let h = -5 - x. What is the remainder when (-33 + 3)*4/(-8) is divided by h?
3
Suppose 0 = 135*w - 113*w - 1408. Calculate the remainder when 140 is divided by w.
12
Let a = 841 - 788. Let v = 4 - -10. What is the remainder when a is divided by v?
11
Suppose -714 = 153*f - 195*f. Calculate the remainder when 1340 is divided by f.
14
Let a = 29 - 25. Suppose t = a, 3*k = -3*t + t + 128. What is the remainder when 118 is divided by k?
38
Let v be 65*(-2 + (0 - -1)). Let t = 95 + v. What is the remainder when t is divided by 8?
6
Suppose -2*i = -5*i + 3*t + 204, 0 = -2*i - 3*t + 141. Suppose 0 = 4*p - 35 - i. Calculate the remainder when 127 is divided by p.
23
Let z(s) = -16*s + 605. What is the remainder when z(22) is divided by 87?
79
Suppose 3*n - 81 = -3*k, 3*n - 4*k = n + 42. Let h be (-24 - -19)*56/10. What is the remainder when n is divided by (h/8)/((-3 + 2)/2)?
4
Suppose -4*k = -d - 2*d + 29, -3*k = 4*d - 47. Suppose 2*b + 5*y = 6*y + 34, -y = b - 23. Calculate the remainder when b is divided by d.
8
Let x = -81 - -146. Let y(f) = -11*f + 121. Calculate the remainder when x is divided by y(9).
21
Suppose 9 = 5*k - 1. Suppose 0 = -p + 2*v - 1, -35 = -4*p - k*v - 3*v. Suppose -7 - p = -4*x. What is the remainder when x is divided by 2?
1
Let m = -627 - -737. What is the remainder when 652 is divided by m?
102
Let b = 10 + 44. Suppose b - 32 = x. What is the remainder when 129 is divided by x?
19
Suppose -v = 3*d - 44, 3*v + 2*d - 42 - 83 = 0. Calculate the remainder when 153 is divided by v.
30
Suppose -2*w + 30 + 0 = 2*j, -5*w + j = -63. Suppose -2*c + w = -23. What is the remainder when 53 is divided by c?
17
Let x(m) = m**3 + 6*m**2 + 4*m + 2. Let f(t) = t + 15. Let z be f(-12). What is the remainder when x(-4) is divided by 400/35 + z/(-7)?
7
Let h be (-1 - -38) + 2 + 1. Suppose -9 - h = -2*x + 5*f, 0 = 5*x + 4*f - 106. Calculate the remainder when x is divided by (-10)/(-1) + 8 + -6.
10
Suppose c - 5*c + 712 = -2*g, 0 = 5*c - 3*g - 892. Calculate the remainder when c is divided by 62.
52
Let y be -4*(-3)/2 - 1. Suppose 0*h = -y*h + 320. Let q = h + -42. What is the remainder when 43 is divided by q?
21
What is the remainder when (6 + 36)*(-12)/(-4) is divided by 36?
18
Let j = -1751 + 1830. What is the remainder when 282 is divided by j?
45
Let j(q) = 12*q**2 - 7 - 2*q**3 + 2*q + 0*q**3 - 2 + 0*q**3. What is the remainder when j(6) is divided by 2?
1
Suppose 4*u - 100 = 2*h, -3*u + 75 = -h + 6*h. What is the remainder when 58 is divided by u?
8
Let m(n) = -n**3 + 10