d + 10 = k. What is the remainder when v is divided by k?
11
Let c(y) be the second derivative of y**5/20 - y**4/2 + 5*y**3/6 + 2*y. Calculate the remainder when 11/(27/24 + -1) is divided by c(6).
28
Suppose -j = -4*n + 55, 0*n = 4*n + j - 49. Let q = 23 + 15. What is the remainder when q is divided by n?
12
Suppose -580 = -3*n + 4*g, 2*g + 0*g - 200 = -n. Suppose 8*i = i + n. Calculate the remainder when i is divided by 10.
8
Let d(h) = -h - 4 + 14 + 14 - 4. What is the remainder when 27 is divided by d(4)?
11
Let m be (7/(-3))/(1/(-3)). Suppose -6*z = -m*z + 14. What is the remainder when (-8 + 5)*53/(-3) is divided by z?
11
Let g(v) = v - 2. Calculate the remainder when g(27) is divided by 7.
4
Let g(m) = -m**3 + 7*m**2 + 8. What is the remainder when g(4) is divided by 19?
18
Let z(x) = x**3 + 4*x**2 - 2*x - 1. Let l be z(-5). Let k = -8 + l. Let y = 29 + k. Calculate the remainder when 28 is divided by y.
3
Suppose 0 = -4*p - 3*t + 78, 3*p + t - 23 = 38. Let o be 2 - (-3 + 4)*-22. Let j = o - -15. Calculate the remainder when j is divided by p.
18
Suppose 58*k - 59*k - 5*g = -77, -3*k + 193 = -4*g. Suppose -2*i + 0*i = -56. Calculate the remainder when k is divided by i.
11
Let a(m) = 19*m + 144. What is the remainder when 73 is divided by a(-6)?
13
Suppose 1 + 29 = 3*k + u, 2*u = -k + 20. Calculate the remainder when 0 - 0 - (-71)/1 is divided by k.
7
Suppose -2*k = -3*v + 6, 3*v + 3*k = -3 + 24. What is the remainder when 27 is divided by v?
3
Let d(h) = 43*h - 28. Calculate the remainder when 16 is divided by d(1).
1
Let h = 1 - -1. Let c(q) = q + 19. Let t be c(-12). Suppose 5*z - 3*b - t = 18, 0 = -2*z + 5*b + 29. Calculate the remainder when h is divided by z.
0
Let l = 7 + -4. Let j = 3 + 30. Suppose -l*y = -j + 6. What is the remainder when 23 is divided by y?
5
Let s = -567 + 826. Calculate the remainder when s is divided by 27.
16
Suppose -x + 2*x - 11 = 0. What is the remainder when 201 is divided by x?
3
Let m(s) = s**2 - 1. Suppose -4*n + 42 + 106 = 0. What is the remainder when n is divided by m(-3)?
5
Suppose i = 192 - 12. Suppose 4*z - 156 = i. Calculate the remainder when z is divided by 17.
16
Suppose 0 = -36*x + 100*x - 13184. Let g = -3 + 56. Calculate the remainder when x is divided by g.
47
Let j = 791 - 562. Calculate the remainder when j is divided by 111.
7
Let k(s) = s**2 + 2*s. Let l be k(-8). Let z = l - 14. Calculate the remainder when 101 is divided by z.
33
Let f be 5/(-4 + -6)*-16. Suppose -2*v + 24 = 4*t, 5*v - f - 52 = 5*t. What is the remainder when 81 is divided by v?
9
Let u(o) be the second derivative of o**4/12 + o**3/3 + 3*o**2 + 22*o. Calculate the remainder when 118 is divided by u(-7).
36
Let t be (447/(-12))/((-2)/8). Let m = 254 - t. Calculate the remainder when m is divided by 18.
15
Suppose f = -2*b + 20, 3*f = -4*b - f + 32. Let l = -14 - -16. Suppose -4*d + l*d + 95 = 3*h, 0 = -d - 2*h + 48. Calculate the remainder when d is divided by b.
10
Suppose 3*l - 47 = -2*o + 140, 0 = -2*l - 10. Let k = o - 54. Let g(i) = -5*i + 2. Calculate the remainder when k is divided by g(-2).
11
Let k = -284 - -314. Calculate the remainder when 146 is divided by k.
26
Suppose 0*u + 61 = 2*t + u, t + 2*u - 35 = 0. What is the remainder when t is divided by ((-892)/(-60))/1 - (-2)/15?
14
Let q(c) = -3*c**2 + 5*c - 4. Let l be q(5). Suppose f = -273 + 293. Calculate the remainder when 2 - (l - (3 - 1)) is divided by f.
18
Let s(f) = -17*f - 144. What is the remainder when 150 is divided by s(-13)?
73
Let l(x) be the second derivative of -x**5/20 + 7*x**4/12 + 2*x**3 - 17*x**2/2 + 15*x. What is the remainder when 44 is divided by l(8)?
14
Suppose 0*z + 3*z = 4*n + 7, z = 5. Suppose -v - n*y = -39, y - 156 = -5*v + 4*y. What is the remainder when v is divided by 9?
6
Let o(h) = h**3 + 11*h**2 + 7*h + 4. Calculate the remainder when o(-6) is divided by 120/(-35)*((-84)/(-8))/(-1).
34
Let q(t) = t**2 - 5*t - 9. Calculate the remainder when -4*(-516)/144*3 is divided by q(8).
13
Let g(l) = l + 15. Let v be g(6). Let b = -8 + v. What is the remainder when 76 is divided by b?
11
Let y(j) = j**3 - 7*j**2 + 7*j + 3. Suppose 6*f + 24 = 8*f. Suppose 0 = 4*x + f - 36. Calculate the remainder when 17 is divided by y(x).
8
Suppose 3*f - 48 = -2*n, n + 0*f = -2*f + 26. Let o = 276 + -124. Suppose -2*g = n - o. What is the remainder when g is divided by 23?
21
Suppose -52*z + 63 = -43*z. What is the remainder when 139 is divided by z?
6
Let g be 22/6 + (-8)/12. Suppose -g*v + 4*x = -0*v + 36, -x = v + 12. What is the remainder when 7 is divided by (3/v)/(2/(-16))?
1
Calculate the remainder when 34 is divided by 992/72 - 6/(-27).
6
Suppose -o + 0*o = -37. Let s = 272 + -252. Calculate the remainder when o is divided by s.
17
Let o(f) = 3*f - 40. What is the remainder when 40 is divided by o(17)?
7
Suppose 7*n + 13 = 20*n. Calculate the remainder when 4 is divided by n.
0
Suppose 2*w - 7*w + 31 = -2*o, 16 = -2*o + 2*w. Calculate the remainder when o + 589/6 - 2/12 is divided by 8.
7
Let w(n) = -2*n**3 + 61*n**2 - 26*n + 13. Let l be w(30). Let y = l + -31. What is the remainder when y is divided by 13?
11
Suppose -80*h + 375 = -77*h. What is the remainder when h is divided by 14?
13
What is the remainder when (-681)/((-105)/14 - -6) is divided by 76?
74
Suppose 0 = -10*m + 6 + 4. Let f = 55 + -148. Let l = m - f. Calculate the remainder when l is divided by 19.
18
Suppose 0 = 8*b - 12*b + 260. Calculate the remainder when 240 is divided by b.
45
Let c(h) be the second derivative of 9/2*h**2 + 0 - 5/12*h**4 + 1/20*h**5 - 13/6*h**3 + 5*h. Calculate the remainder when 63 is divided by c(7).
15
Let y = 8316 + -8109. Let p = -40 - -75. What is the remainder when y is divided by p?
32
Let p(b) = 13*b - 192. Calculate the remainder when 147 is divided by p(18).
21
Suppose -3*x + 110 + 386 = w, x = -5*w + 170. Suppose -5*o + 2*n + x = 0, -2*o + n + 24 = -42. Calculate the remainder when o is divided by 7.
5
Suppose 4*f = -5*v + 196, 14*v + 245 = 5*f + 16*v. Calculate the remainder when 0 + (-1 - -146 - 3) is divided by f.
44
Suppose -4*s = -s + 15. Let b(m) be the first derivative of -m**2/2 - 4*m + 20. What is the remainder when 1 is divided by b(s)?
0
Let o(z) = 4*z**2 - 3*z - 17. Calculate the remainder when o(8) is divided by 35.
5
Let v be 9635/20 + 1/4. Suppose -5*a + v = 2*u, -4*a = 5*u - 3*a - 1205. What is the remainder when u is divided by 22?
21
Let r(g) be the first derivative of g**3 - 3*g**2/2 + 3*g + 7. Let m = -25 - -49. What is the remainder when m is divided by r(2)?
6
Suppose 6 = -3*u - 66. Let s(i) = i**3 + 4*i**2 + 2*i. Let v be s(-4). Let f = v - u. What is the remainder when 29 is divided by f?
13
Let z(k) = -3*k + 2. Let l = 146 + -22. Suppose -3*m = m - l. What is the remainder when m is divided by z(-5)?
14
Let n(v) = -3 + 6 + 5*v - 8 + 6*v. Calculate the remainder when (-300)/9*(-6)/4 is divided by n(2).
16
Let l = -33 - -59. Suppose -b = -l - 13. Calculate the remainder when b is divided by 21.
18
Let z(w) be the first derivative of -w**2/2 + 14*w + 2. Let y = 403 + -363. Calculate the remainder when y is divided by z(0).
12
Suppose -5*q + 9 = 4. Let z(x) = -22*x. Calculate the remainder when (q - 3)/((-2)/29)*3 is divided by z(-1).
21
Let x(m) = -106*m + 577. Calculate the remainder when x(5) is divided by 36/(3 - 1) + 0.
11
Suppose -585 = -5*k - 5*c, -4*k + 0*k + 486 = -2*c. What is the remainder when k is divided by 43?
34
Suppose -3*k + 3*u = -2442, 4*k - u - 241 - 3024 = 0. Calculate the remainder when k is divided by 82.
79
Suppose 4*w - w - 114 = 0. Calculate the remainder when w is divided by (-3408)/639*-15*2/16.
8
Let s = 76 + -87. Let d = 8 - 6. What is the remainder when 43 is divided by d/(-4)*s*2?
10
Calculate the remainder when 55 is divided by 9 + (-4 - 1) + 2 - 3.
1
Suppose 17*t - 28*t + 99 = 0. Calculate the remainder when 104 is divided by t.
5
Suppose x + 4*o + 32 = 0, o = -0*x + 5*x + 55. Let h = -136 - -193. What is the remainder when h is divided by (-8)/(3 - (-44)/x)?
9
Let q(o) = o**3 + 10*o**2 - 4*o - 19. What is the remainder when 247 is divided by q(-10)?
16
Let w = -214 - -356. What is the remainder when w is divided by 51?
40
Let v(c) = 3 - 3*c**2 - 5 + 4*c**3 - 3*c**3. Let 