e 0 = -i - 12 + 1. Let x(b) = -b**3 + 7*b**2 - 5*b - 4. Let d be x(4). Let h = d + i. What is the remainder when 25 is divided by h?
12
Let b(t) = 5*t. Let c be b(3). Let p = -12 + c. Calculate the remainder when 8 is divided by p.
2
Suppose -k - 9 = -79. What is the remainder when k is divided by 24?
22
Let l(j) = -6*j**3 - 2*j**2 - 3*j - 2. Calculate the remainder when 18 is divided by l(-1).
3
Let k be 3/5 - (-23)/(-5). Let i be 9/3*1/(-3). Let z = i - k. What is the remainder when 5 is divided by z?
2
Let b be ((-18)/(-2))/(2/(-26)). Let v = b - -197. Calculate the remainder when v is divided by 21.
17
Let c(i) = -i**2 - 11*i - 1. Let p(x) = 8*x**3 - x**2 + 1. Let z be p(-1). What is the remainder when c(z) is divided by 12?
11
Let n = 21 - 19. What is the remainder when 11 is divided by n?
1
Let u = 12 + -7. Calculate the remainder when 12 - (20 + -5)/(-3) is divided by u.
2
Calculate the remainder when 65 is divided by 3 + 1 + 0 + 13.
14
Calculate the remainder when 74 is divided by 3 - (-10 + -4 + -2).
17
Suppose -4*n + 48 = -20. Let q = -11 + n. Suppose 0 = -3*h + 15, h - 17 = 2*o - q*o. What is the remainder when 8 is divided by o?
2
Let m(x) = 6*x**2 + 4*x + 5. Calculate the remainder when m(-4) is divided by 29.
27
Let v(n) = -n**2 - 5*n - 6. Let a be v(-6). What is the remainder when 23 is divided by (-159)/a - 1/4?
10
Let s = 14 + 11. What is the remainder when 98 is divided by s?
23
Suppose -10*l + 5*l = -40. What is the remainder when 31 is divided by l?
7
Let c = 77 - 119. Let w = -21 - c. Let r = 9 + 2. What is the remainder when w is divided by r?
10
Suppose 3*v - 3 = 18. Let m(b) = b**3 - 7*b**2 - b + 10. Calculate the remainder when 6 is divided by m(v).
0
Let a(t) = 65*t**2 + t + 2. Let o be a(-2). Suppose 5*f - 4*x - o = -43, 3*f + 3*x = 114. What is the remainder when f is divided by 14?
13
Let x = -77 - -118. Let l = x - -5. Let z = -20 - -36. What is the remainder when l is divided by z?
14
Let j = 409 + -181. Suppose 3*y + j = 4*n - 110, -3*n + 268 = 5*y. Calculate the remainder when n is divided by 22.
20
Suppose -4*n + 4*j - 8 = 0, 2*n - 5*n + 5*j - 14 = 0. Suppose 0 = -5*x - n*r + 215, -x + 2*r - 35 = -2*x. What is the remainder when x is divided by 12?
9
Let u = -25 + 32. What is the remainder when 12 is divided by u?
5
Let h be -6 + 8 + 2*1. Suppose 0*b - 5*b = 5, 2*i = -h*b + 2. Suppose i*f = 8*f - 170. What is the remainder when f is divided by 12?
10
Let v(t) = 2*t**2 + 2*t - 2. Let q be v(-2). Suppose q*a - 28 = -0*a. What is the remainder when 39 is divided by a?
11
Suppose 0 = 2*x - 15 - 25. Let r(a) = 2*a**2 + a - 2. Let y be r(2). Suppose 0 = -c + y + 3. What is the remainder when x is divided by c?
9
Suppose 4*k - 5 - 11 = 0. Suppose k = i + 1. What is the remainder when (-2)/(-6) - (-22)/6 is divided by i?
1
Let j(z) be the second derivative of 1/2*z**2 + 0 - 1/6*z**3 + 13/3*z**4 - 2*z. Calculate the remainder when j(1) is divided by 18.
16
Suppose y - 2*x = -2*y + 50, 3*y = 4*x + 52. Calculate the remainder when 77 is divided by y.
13
Calculate the remainder when 80 is divided by 90/4 - (11 + -5)/12.
14
Let y = 5 + -2. Suppose -2*d + 49 = -3*u, 2*d + d = -y*u + 51. Let b(s) = s**2 + 2*s + 4. What is the remainder when d is divided by b(-3)?
6
Suppose 5*c = -0*c. Suppose -4*n + 2*o + 86 = c, -n + 40 = n - 2*o. Let i(m) = 45*m**3 + m**2 - m. Calculate the remainder when i(1) is divided by n.
22
Suppose 0 = -4*v - 16, 0 = q - 3*v + 2*v - 11. Let y(o) = -o + 12*o + o. Calculate the remainder when y(1) is divided by q.
5
Suppose 0 = -j - 5*f - 21, 4*j + 2*f - 3*f - 21 = 0. Calculate the remainder when ((-4)/3)/((-10)/75) is divided by j.
2
Suppose 0 = 5*o + j - 16, -o + 2*j = -j. Calculate the remainder when 12 is divided by o.
0
Let n(h) = h**3 - 7*h**2 + 9*h - 8. Let u = 7 - 1. What is the remainder when n(u) is divided by 4?
2
Suppose 12*p - 46 = 10*p. Calculate the remainder when 91 is divided by p.
22
Let w(t) = t**3 - 9*t**2 + 13*t - 8. Suppose 4*y = -0*y + 44. What is the remainder when w(8) is divided by y?
10
Let v(u) = -u**3 + 7*u**2 + 5*u - 12. Calculate the remainder when v(7) is divided by 15.
8
What is the remainder when (56/(-21))/(1/(-9)) is divided by 7?
3
Suppose -5*f - 982 = -u, -f - 22 = -u + 176. What is the remainder when f/(-5) - 2/10 is divided by 20?
19
Let s = -23 + 51. Suppose -t + s = -19. Calculate the remainder when t is divided by 16.
15
Let j = 21 + -12. Let f be 106/(-8) + 6/(-8). Let l = 3 - f. What is the remainder when l is divided by j?
8
Let n = -57 - -89. Let j = n - 18. Calculate the remainder when 27 is divided by j.
13
Suppose 2*r + d + 3*d + 4 = 0, -5*r - 4*d = -2. Let t(c) = 16*c + 2. Calculate the remainder when t(r) is divided by 12.
10
Let i = 6 - 1. Suppose 0 = i*z - 19 - 1. Let r = 11 - 4. Calculate the remainder when r is divided by z.
3
Calculate the remainder when 13 is divided by (-30)/(-25)*20/3.
5
Let u be -4*2/4*-4. Let k = 2 + u. Calculate the remainder when 29 is divided by k.
9
Let n be 8 + -1 + -3 + 1. Suppose -13 - 11 = -2*d - 5*m, n*m + 61 = 3*d. Let r = -123 + 188. What is the remainder when r is divided by d?
14
Let i be 2 + -1 + 1 + -51. Let p = i + 89. Calculate the remainder when p is divided by 14.
12
Suppose 2*n - 24 = -2*r, -r - 4*n = -3*r + 18. What is the remainder when 20 is divided by r?
9
Suppose 2*u - 9 = -1. Let c(h) = -7*h - 1. Let y be c(-2). Suppose 11 + y = 4*a. What is the remainder when a is divided by u?
2
Suppose -4*m + 52 = i + m, 4*i = -3*m + 174. Suppose 115*g = 4*d + 114*g - 58, 0 = -g + 2. Calculate the remainder when i is divided by d.
12
Suppose f = 2*z + 4, -z + f + 2 = 5. Let x be (z + (-7)/(-4))*4. Calculate the remainder when (-2)/(-1 + x) + 21 is divided by 7.
6
Let o be 26*(2 + 0 + -1). Let t be (-6)/(-21) - o/(-7). Calculate the remainder when 2 is divided by 10/14 + t/14.
0
Suppose 5*v = 3*v + 20. Let a be (-21)/(-6) + (-2)/4. Suppose 0 = a*l + l - 24. Calculate the remainder when v is divided by l.
4
Suppose 52 = -4*y + 228. Let g = 6 + 86. Suppose -g = -4*v - 0*v. What is the remainder when y is divided by v?
21
Let w = -17 + 29. Let d = -13 - -36. What is the remainder when d is divided by w?
11
Suppose 2*f = -3*k - 5 + 15, 4*k - 12 = -3*f. Let z(u) = -2*u**3 - u**2 - 2*u. What is the remainder when z(-2) is divided by k?
4
Let l(b) = 6*b**2 + 2*b. Calculate the remainder when 109 is divided by l(2).
25
Let l(y) = y**2 - 4*y + 4. Let w be ((-2)/(-4))/((-1)/12). Let g be 3/w*-2 + 3. What is the remainder when 14 is divided by l(g)?
2
Let c be (-3)/(-4) + 1485/20. Suppose 3*z + 0*z - c = 0. What is the remainder when z is divided by 9?
7
Suppose -24 = 3*r - 7*r. Calculate the remainder when 15 is divided by r.
3
Suppose -2*v = -7*v + 15. Suppose -4*u = -n + 21 - 6, v*u = n - 16. Calculate the remainder when n is divided by 11.
8
Let i = -421 + 261. Let h = -14 + 43. Calculate the remainder when h is divided by (i/8)/(0 - 2).
9
Suppose -6*j = -3*j - 36. Let b(k) = k**2 - 4*k + 1. What is the remainder when b(-3) is divided by j?
10
Let s = 84 - 44. Suppose 228 + s = 4*v. Calculate the remainder when v is divided by 23.
21
What is the remainder when 55 is divided by (-1 - 18)*(-1 + 0)?
17
Let l(a) = -1 + 8 - 6 + a. Let h be l(-1). Suppose h = 3*v - v - 14. What is the remainder when 20 is divided by v?
6
Suppose 0*y = 2*y - 3*u + 13, 3*y - 4*u = -17. Calculate the remainder when 40 is divided by (-7)/((y + -2)/2).
12
Suppose 8*w - 289 = 975. Calculate the remainder when w is divided by 40.
38
Suppose 4*k + 4 = 0, -3*f + 0*f + 2*k + 182 = 0. Suppose 4*p = 8 + f. Calculate the remainder when p is divided by 9.
8
Suppose -4*t = -2*o + 512, o + 2*t = 6*t + 262. Calculate the remainder when o is divided by 28.
26
Suppose 23 = -5*g - 5*k + 98, 0 = -2*k + 8. Suppose -2*a + g = 3. Calculate the remainder when (27/6 - 1)*20/7 is divided by a.
2
Suppose -4*i = 2*x + 16, -4*i + 2*x - 12 + 4 = 0. Let p = i + 14. Calculate the remainder when 43 is divided by p.
10
Let t = 42 + 12. Suppose 0 = o + o - t. Let m = -9 + o. What is the remainder when m is divided by 10?
8
Suppose 5*t - 95 = -2*d - 3*d, 0 = -5*t + d + 89. What is the remainder when t is divided by 7?
4
Suppose 0 = -3*o + 7*o - 8. Let w be (0 - o)*(-3)/2. Su