 be (12 - 10)/((-2)/8). Let x be (y/6)/(4/264). Calculate the remainder when 42 is divided by (x/(-6))/((-10)/(-15)).
20
Let r(g) = -g + 33. Let h = -75 - -36. Let o = h - -108. Calculate the remainder when o is divided by r(15).
15
Suppose -l = -6*l + 40. Let f(d) = d**3 - 4*d**2 - 5*d. Let o be f(5). Let b = l + o. Calculate the remainder when b is divided by 3.
2
Suppose f - p - 8 = 0, 5*f - 37 - 23 = -5*p. What is the remainder when 28 is divided by f?
8
Let d = 1111 - 1106. Calculate the remainder when 91 is divided by d.
1
Let l(h) = -h**3 + 3*h**2 + 9*h - 8. Let n be l(5). Let o(q) = -q - 8. What is the remainder when 18 is divided by o(n)?
3
Let s(q) = -6*q**3 - 47*q**2 - 4*q + 2. Calculate the remainder when 181 is divided by s(-8).
83
Let t(n) = -31 + n**2 - 2*n - 2*n + 17 - n. What is the remainder when t(8) is divided by 5?
0
Let b = 48 - 30. Let i = -41 - -55. Let r(m) = m**2 - 12*m - 21. Calculate the remainder when b is divided by r(i).
4
Let b(g) = 2*g**3 - g**2 + g + 266. What is the remainder when b(0) is divided by 54?
50
Let y(n) = -13*n - 3. Let l be y(-1). Suppose l*r + 31 = 11*r. Calculate the remainder when r is divided by 2/2 + -4 - (-19 + 9).
3
Let q(t) = 3*t**2 + 91*t - 40. Calculate the remainder when q(-31) is divided by 13.
9
What is the remainder when (-1416)/2*(-117)/468 is divided by 30?
27
Suppose 4*c - 11 = -79. Let j = 14 - c. What is the remainder when j is divided by 13?
5
Suppose 0 = 2*n + 2*n - 12. Suppose -m + 0*m = -2*i - 5, -5*i - n*m - 18 = 0. What is the remainder when 102 is divided by (-2)/i + 380/15?
24
Let y = -1225 + 1847. What is the remainder when y is divided by 105?
97
Suppose -981 = 9*r - 3132. What is the remainder when r is divided by 60?
59
Let g(i) = -i**2 + 8*i + 15. Let j be g(9). Let r be 214/(1 + 1) + 2. Let x = r + j. What is the remainder when x is divided by 29?
28
Suppose 5*i - 57 + 7 = 0. Let d(y) = 4*y**3 + 2*y**2 - y. Let a be (-8)/36 - (-40)/18. Calculate the remainder when d(a) is divided by i.
8
Suppose 0 = 4*y - 3*y - 5. Suppose -y*h + 58 - 13 = 0. Let x = 7 + -2. Calculate the remainder when h is divided by x.
4
Suppose 22044 + 42056 = 100*m. What is the remainder when m is divided by 14?
11
Suppose -5*i + 83 = 4*p, i - 73 + 57 = -p. Calculate the remainder when 164 is divided by i.
12
Suppose 13*d - 17*d + 176 = -4*c, 172 = 4*d - 3*c. Calculate the remainder when d is divided by -33*1*2/(-6).
7
Suppose 4*r - 3*i - 2*i - 383 = 0, 0 = -4*r - i + 413. What is the remainder when r is divided by -2 + 0 + 2 + 26?
24
Suppose 35 - 1 = 2*x. Suppose -x*s + 53 = -16*s. What is the remainder when s is divided by 14?
11
Let p(n) = -17*n**3 + 4*n**2 - 2*n - 10. What is the remainder when p(-2) is divided by 38?
32
Suppose 3*f + 35 = 7*f - g, 3*g + 35 = 5*f. Suppose 2*n - m = 0, -5*m + 16 = n - 3*n. Let k = n + f. What is the remainder when 33 is divided by k?
9
Let s be (-3876)/(-22) + 6/(-33). Suppose -2*g + s = 42. Suppose f - 5*t - 38 = 0, 3*f + 4*t = g + 66. What is the remainder when f is divided by 11?
10
Suppose 0 = 3*f + a - 20, -2*f + 48 = 2*f - 4*a. Suppose -2*n + 4*n - 22 = -4*b, -n - b + 7 = 0. What is the remainder when f is divided by n?
2
Calculate the remainder when (-255)/(-8) + 89/712 is divided by 11.
10
Suppose -4*l - 3*j - 37 = -437, 2*l = 3*j + 218. Suppose -l*k + 80 = -99*k. What is the remainder when 119 is divided by k?
19
Let x(z) = -27*z + 78. Calculate the remainder when 287 is divided by x(2).
23
Let u(r) = -r**3 - 10*r**2 + r + 19. Let k be 62/(-6) + ((-10)/6 - -2). What is the remainder when 97 is divided by u(k)?
7
Let p(x) be the first derivative of 3*x**3 - 6*x + 11. Calculate the remainder when p(-3) is divided by 21.
12
Let b = 14 + 9. Suppose -65 = -8*x + 3*x. Suppose 0 = 4*z - z + 3*a - 18, -x = -2*z - 3*a. Calculate the remainder when b is divided by z.
3
Suppose 3*f + 350 = -5*n + 1119, 0 = -5*n + 25. Suppose -4*b + 4*h = -149 - 167, -b + 3*h = -71. What is the remainder when b is divided by f/12 + (-3)/(-9)?
20
Suppose -2*s - 2*l - 1683 = -7*s, -3*l + 1663 = 5*s. Calculate the remainder when s is divided by 49.
41
Let o(b) = b**3 + 22*b**2 - 4*b - 63. Calculate the remainder when o(-22) is divided by (-174)/(-10) - 18/45.
8
Let p = 2229 + -2037. What is the remainder when p is divided by 18?
12
Suppose -130 - 239 = -9*w. Calculate the remainder when w is divided by 15.
11
Let g(q) = -q**3 - 3*q**2 - 3*q + 2. Let y(p) = -17*p**3 - 4*p**2 - 6*p - 1. Suppose 3*h - 4*h - 1 = 0. What is the remainder when y(h) is divided by g(-3)?
7
Suppose 4*h - 3*w = 11 + 41, 5*w = -h + 36. Let m = -135 - -196. What is the remainder when m*2/(1 + 1) is divided by h?
13
Let k = -21 + 14. Let c(p) = 7*p + 4*p + 7 - 5*p**2 + 1 - p**3 - p. What is the remainder when c(k) is divided by 13?
10
Suppose -4*c = -4*w + 9*w - 121, 4*w - 100 = -4*c. What is the remainder when 121 is divided by w?
16
Suppose 7*y - 11*y = 0, 4*y + 60 = 3*r. Calculate the remainder when r is divided by 7.
6
Suppose -4*f = -4*t + 40, 0 = 2*t - 4*f - 19 + 3. Let m be t/(1 + 3/3). Suppose m*i = 25 + 77. Calculate the remainder when 48 is divided by i.
14
Calculate the remainder when -5 - (7 + 11*-14) is divided by 29.
26
Suppose 3*j = -3*s + 159, 4*j + 0*j - 220 = -2*s. Calculate the remainder when j is divided by 16.
9
Let v = -1593 - -1824. Calculate the remainder when v is divided by 120.
111
Let c(v) = -v**3 + 19*v**2 - 16*v - 6. Let m(j) = j**2 - 11*j - 8. Let n be m(13). What is the remainder when c(n) is divided by 17?
13
Let h(l) = 3*l**2 + 6*l + 8. Suppose 0*y + 5*y + 15 = 0. Let t = -27 + 36. What is the remainder when h(y) is divided by t?
8
Let d = 98 - 79. Suppose -4*z = -157 - d. What is the remainder when 307 is divided by z?
43
Let w = -55 + 162. Suppose 3*f - 4*y = -0*f + 101, -3*f + w = 2*y. What is the remainder when f is divided by 12?
11
Let n be (-62)/(-15) + 8/(-60). Suppose 50 + 10 = n*v. What is the remainder when 35 is divided by 57/5 - v/(-25)?
11
Let o(z) = 2*z**3 + z**2 + z - 4. Let i be o(0). Let a(q) = q**3 + 5*q**2 + 4*q + 9. Calculate the remainder when a(i) is divided by 9.
0
Let g(b) = b**2 - 5*b - 19. What is the remainder when g(-6) is divided by 3?
2
Suppose -7*b + 248 = b. Suppose -l = -1, 8*s - 5*s - 2*l = b. Calculate the remainder when 19 is divided by s.
8
Let r(a) = a**3 + 6*a**2 - 13*a + 29. What is the remainder when 377 is divided by r(-8)?
2
Let j(v) = -v**3 - 6*v**2 - 8*v + 8. Calculate the remainder when 13 is divided by j(-4).
5
Suppose -5*v - 3*d + 1450 = 115, 0 = -d. Calculate the remainder when v is divided by 32.
11
Let x(o) = -2 + 3 - 6*o**3 - 14*o + 4*o**2 + 1 + 18*o. Calculate the remainder when x(-2) is divided by 20.
18
Let i = -71 + 73. Suppose 3*v + v = -2*h + 58, 2*h - i = 0. What is the remainder when 54 is divided by v?
12
Let c = 44 - -7. What is the remainder when c is divided by 28?
23
Let c(t) = t**2 + 3*t + 4. Let w be c(-3). Suppose 140 = -w*y + 9*y. What is the remainder when y is divided by 16/(-3)*9/(-6)?
4
Suppose m - 3*m = -10. Suppose -g + m*g - 268 = 0. What is the remainder when g is divided by 23?
21
Let y(t) = t**3 - 16*t**2 - 14*t + 1. Calculate the remainder when y(17) is divided by 25.
2
Let u(k) = -9*k + 198. What is the remainder when u(0) is divided by 68?
62
Let y = -96 + 140. Suppose -d + y = 3*d. What is the remainder when d is divided by -4*((-100)/(-16) + -7)?
2
Let s(j) = 2*j**2 - 7*j - 2. Let x(z) = -z**3 - 6*z**2 + 8*z + 11. Suppose -3*q - 28 = q. Calculate the remainder when s(5) is divided by x(q).
1
Let u(n) = 430*n**2 - n + 1. Let q be u(1). Suppose -3*m = -3*j - 0*j + 240, 0 = 5*j + 5*m - q. Calculate the remainder when j is divided by 21.
20
Let q = -305 - -518. Let u = q - 150. Calculate the remainder when u is divided by 11.
8
Let g be 8 - 0/2 - 2. Suppose -g = 3*f + 6, -3*v + 2*f = -53. Suppose 3*a + 42 = 174. What is the remainder when a is divided by v?
14
Suppose -s + 157 = -4*u, 5*s + 2*u - 479 = 240. Calculate the remainder when s is divided by 36.
1
Suppose -2*q + 555 = -5*q. Suppose 2*c - 389 = 3*r - 0*r, 0 = 4*r - 3*c + 520. Let m = r - q. Calculate the remainder when m is divided by 20.
18
Let b = 286 + -168. Calculate the remainder when b is divided by 11.
8
Suppose -2 = -2*u + 2